{ "cbse": { "grade_1": { "Counting 1-100": { "folder_name": "Counting_1-100", "subconcepts": { "Counting forward": { "file": "Counting_forward.json" }, "Counting backward": { "file": "Counting_backward.json" }, "Number sequencing": { "file": "Number_sequencing.json" }, "Missing numbers": { "file": "Missing_numbers.json" }, "Skip counting by 1s": { "file": "Skip_counting_by_1s.json" } } }, "Number Recognition": { "folder_name": "Number_Recognition", "subconcepts": { "Recognizing numbers 1–100": { "file": "Recognizing_numbers_1_100.json" }, "Reading and writing numbers": { "file": "Reading_and_writing_numbers.json" }, "Matching numbers to quantities": { "file": "Matching_numbers_to_quantities.json" } } }, "Before and After Numbers": { "folder_name": "Before_and_After_Numbers", "subconcepts": { "Before number": { "file": "Before_number.json" }, "After number": { "file": "After_number.json" }, "Between number": { "file": "Between_number.json" } } }, "Greater and Smaller": { "folder_name": "Greater_and_Smaller", "subconcepts": { "Comparing two numbers": { "file": "Comparing_two_numbers.json" }, "Biggest and smallest": { "file": "Biggest_and_smallest.json" }, "Ordering 3–5 numbers": { "file": "Ordering_3_5_numbers.json" } } }, "Addition (1-10)": { "folder_name": "Addition__1-10", "subconcepts": { "Using objects to add": { "file": "Using_objects_to_add.json" }, "Number line addition": { "file": "Number_line_addition.json" }, "Addition without carry": { "file": "Addition_without_carry.json" } } }, "Subtraction (1-10)": { "folder_name": "Subtraction__1-10", "subconcepts": { "Taking away objects": { "file": "Taking_away_objects.json" }, "Number line subtraction": { "file": "Number_line_subtraction.json" }, "Subtraction without borrow": { "file": "Subtraction_without_borrow.json" } } }, "Shapes and Patterns": { "folder_name": "Shapes_and_Patterns", "subconcepts": { "Basic 2D shapes": { "file": "Basic_2D_shapes.json" }, "Sorting shapes": { "file": "Sorting_shapes.json" }, "Repeating patterns": { "file": "Repeating_patterns.json" } } }, "Length and Height": { "folder_name": "Length_and_Height", "subconcepts": { "Long vs short": { "file": "Long_vs_short.json" }, "Tall vs short": { "file": "Tall_vs_short.json" }, "Informal measurement": { "file": "Informal_measurement.json" } } }, "Weight Comparison": { "folder_name": "Weight_Comparison", "subconcepts": { "Heavy vs light": { "file": "Heavy_vs_light.json" }, "Comparing weights visually": { "file": "Comparing_weights_visually.json" } } }, "Days and Months": { "folder_name": "Days_and_Months", "subconcepts": { "Days of the week": { "file": "Days_of_the_week.json" }, "Months of the year": { "file": "Months_of_the_year.json" }, "Understanding yesterday–today–tomorrow": { "file": "Understanding_yesterday_today_tomorrow.json" } } }, "Time (Hours)": { "folder_name": "Time__Hours", "subconcepts": { "Reading hour hand": { "file": "Reading_hour_hand.json" }, "Understanding 'o'clock'": { "file": "Understanding_'o'clock'.json" } } }, "Money (Coins)": { "folder_name": "Money__Coins", "subconcepts": { "Recognizing coins": { "file": "Recognizing_coins.json" }, "Simple buying and selling": { "file": "Simple_buying_and_selling.json" } } } }, "grade_2": { "Counting 1-1000": { "folder_name": "Counting_1-1000", "subconcepts": { "Forward counting": { "file": "Forward_counting.json" }, "Backward counting": { "file": "Backward_counting.json" }, "Number patterns up to 1000": { "file": "Number_patterns_up_to_1000.json" } } }, "Place Value (Ones, Tens)": { "folder_name": "Place_Value__Ones,_Tens", "subconcepts": { "Understanding ones and tens": { "file": "Understanding_ones_and_tens.json" }, "Expanding 2-digit numbers": { "file": "Expanding_2-digit_numbers.json" }, "Forming smallest and largest numbers": { "file": "Forming_smallest_and_largest_numbers.json" } } }, "Skip Counting": { "folder_name": "Skip_Counting", "subconcepts": { "Skip counting by 2": { "file": "Skip_counting_by_2.json" }, "Skip counting by 5": { "file": "Skip_counting_by_5.json" }, "Skip counting by 10": { "file": "Skip_counting_by_10.json" } } }, "Addition (1-50)": { "folder_name": "Addition__1-50", "subconcepts": { "2-digit addition without carry": { "file": "2-digit_addition_without_carry.json" }, "2-digit addition with carry": { "file": "2-digit_addition_with_carry.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Subtraction (1-50)": { "folder_name": "Subtraction__1-50", "subconcepts": { "2-digit subtraction without borrow": { "file": "2-digit_subtraction_without_borrow.json" }, "Subtraction with borrow": { "file": "Subtraction_with_borrow.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Introduction to Multiplication": { "folder_name": "Introduction_to_Multiplication", "subconcepts": { "Repeated addition": { "file": "Repeated_addition.json" }, "Understanding groups": { "file": "Understanding_groups.json" }, "Multiplication as ×": { "file": "Multiplication_as__.json" } } }, "Even and Odd Numbers": { "folder_name": "Even_and_Odd_Numbers", "subconcepts": { "Identifying even numbers": { "file": "Identifying_even_numbers.json" }, "Identifying odd numbers": { "file": "Identifying_odd_numbers.json" }, "Patterns in even–odd numbers": { "file": "Patterns_in_even_odd_numbers.json" } } }, "2D and 3D Shapes": { "folder_name": "2D_and_3D_Shapes", "subconcepts": { "Circle, square, triangle, rectangle": { "file": "Circle,_square,_triangle,_rectangle.json" }, "Cube, cuboid, sphere, cylinder": { "file": "Cube,_cuboid,_sphere,_cylinder.json" } } }, "Measurement (cm, m)": { "folder_name": "Measurement__cm,_m", "subconcepts": { "Measuring lengths": { "file": "Measuring_lengths.json" }, "Choosing correct unit": { "file": "Choosing_correct_unit.json" }, "Comparison using cm and m": { "file": "Comparison_using_cm_and_m.json" } } }, "Time (Half Hours)": { "folder_name": "Time__Half_Hours", "subconcepts": { "Reading hour and minute hand": { "file": "Reading_hour_and_minute_hand.json" }, "Half-past time": { "file": "Half-past_time.json" } } }, "Money (Notes and Coins)": { "folder_name": "Money__Notes_and_Coins", "subconcepts": { "Identifying notes": { "file": "Identifying_notes.json" }, "Adding money values": { "file": "Adding_money_values.json" }, "Simple transactions": { "file": "Simple_transactions.json" } } }, "Data Handling (Pictographs)": { "folder_name": "Data_Handling__Pictographs", "subconcepts": { "Reading pictographs": { "file": "Reading_pictographs.json" }, "Creating simple pictographs": { "file": "Creating_simple_pictographs.json" }, "Answering questions": { "file": "Answering_questions.json" } } } }, "grade_3": { "Numbers up to 10,000": { "folder_name": "Numbers_up_to_10,000", "subconcepts": { "Reading and writing 4-digit numbers": { "file": "Reading_and_writing_4-digit_numbers.json" }, "Place value (ones, tens, hundreds, thousands)": { "file": "Place_value_ones,_tens,_hundreds,_thousands.json" }, "Expanding and compact form": { "file": "Expanding_and_compact_form.json" }, "Comparing 4-digit numbers": { "file": "Comparing_4-digit_numbers.json" }, "Ascending and descending order": { "file": "Ascending_and_descending_order.json" } } }, "Place Value (Hundreds, Thousands)": { "folder_name": "Place_Value__Hundreds,_Thousands", "subconcepts": { "Value vs place of a digit": { "file": "Value_vs_place_of_a_digit.json" }, "Making numbers with given digits": { "file": "Making_numbers_with_given_digits.json" }, "Rounding to nearest 10 and 100": { "file": "Rounding_to_nearest_10_and_100.json" } } }, "Addition and Subtraction (3-digit)": { "folder_name": "Addition_and_Subtraction__3-digit", "subconcepts": { "3-digit addition with carry": { "file": "3-digit_addition_with_carry.json" }, "3-digit subtraction with borrow": { "file": "3-digit_subtraction_with_borrow.json" }, "Mixed word problems": { "file": "Mixed_word_problems.json" }, "Estimation of sums and differences": { "file": "Estimation_of_sums_and_differences.json" } } }, "Multiplication Tables (2-10)": { "folder_name": "Multiplication_Tables__2-10", "subconcepts": { "Tables 2 to 10 memorization": { "file": "Tables_2_to_10_memorization.json" }, "Patterns in tables": { "file": "Patterns_in_tables.json" }, "Skip counting to form tables": { "file": "Skip_counting_to_form_tables.json" } } }, "Division Basics": { "folder_name": "Division_Basics", "subconcepts": { "Meaning of division": { "file": "Meaning_of_division.json" }, "Division as repeated subtraction": { "file": "Division_as_repeated_subtraction.json" }, "Dividing with small numbers": { "file": "Dividing_with_small_numbers.json" }, "Simple division word problems": { "file": "Simple_division_word_problems.json" } } }, "Fractions (Half, Quarter)": { "folder_name": "Fractions__Half,_Quarter", "subconcepts": { "Understanding 1/2, 1/4, 3/4": { "file": "Understanding_12,_14,_34.json" }, "Equal parts of shapes": { "file": "Equal_parts_of_shapes.json" }, "Fractions on objects": { "file": "Fractions_on_objects.json" }, "Comparing simple fractions": { "file": "Comparing_simple_fractions.json" } } }, "Simple Patterns": { "folder_name": "Simple_Patterns", "subconcepts": { "Number patterns": { "file": "Number_patterns.json" }, "Shape patterns": { "file": "Shape_patterns.json" }, "Repeating and growing patterns": { "file": "Repeating_and_growing_patterns.json" } } }, "Perimeter and Area Basics": { "folder_name": "Perimeter_and_Area_Basics", "subconcepts": { "Meaning of boundary": { "file": "Meaning_of_boundary.json" }, "Introduction to perimeter": { "file": "Introduction_to_perimeter.json" }, "Counting squares for area": { "file": "Counting_squares_for_area.json" }, "Comparing areas": { "file": "Comparing_areas.json" } } }, "Money Problems": { "folder_name": "Money_Problems", "subconcepts": { "Adding money": { "file": "Adding_money.json" }, "Subtraction with money": { "file": "Subtraction_with_money.json" }, "Simple bills and change": { "file": "Simple_bills_and_change.json" } } }, "Symmetry": { "folder_name": "Symmetry", "subconcepts": { "Line of symmetry": { "file": "Line_of_symmetry.json" }, "Symmetrical shapes": { "file": "Symmetrical_shapes.json" }, "Mirror images": { "file": "Mirror_images.json" } } } }, "grade_4": { "Numbers up to 1,00,000": { "folder_name": "Numbers_up_to_1,00,000", "subconcepts": { "Reading 5-digit numbers": { "file": "Reading_5-digit_numbers.json" }, "Indian place value system": { "file": "Indian_place_value_system.json" }, "Expanding 5-digit numbers": { "file": "Expanding_5-digit_numbers.json" }, "Forming largest and smallest numbers": { "file": "Forming_largest_and_smallest_numbers.json" } } }, "Roman Numerals": { "folder_name": "Roman_Numerals", "subconcepts": { "Understanding I, V, X, L, C": { "file": "Understanding_I,_V,_X,_L,_C.json" }, "Rules of addition and subtraction": { "file": "Rules_of_addition_and_subtraction.json" }, "Writing numbers 1–100 in Roman form": { "file": "Writing_numbers_1_100_in_Roman_form.json" } } }, "Factors and Multiples": { "folder_name": "Factors_and_Multiples", "subconcepts": { "Finding factors": { "file": "Finding_factors.json" }, "Finding multiples": { "file": "Finding_multiples.json" }, "Prime and composite numbers": { "file": "Prime_and_composite_numbers.json" }, "Common factors and multiples": { "file": "Common_factors_and_multiples.json" } } }, "Addition and Subtraction (4-digit)": { "folder_name": "Addition_and_Subtraction__4-digit", "subconcepts": { "Addition with multiple carries": { "file": "Addition_with_multiple_carries.json" }, "Subtraction with multi-borrow": { "file": "Subtraction_with_multi-borrow.json" }, "Large number word problems": { "file": "Large_number_word_problems.json" } } }, "Multiplication (2-digit × 2-digit)": { "folder_name": "Multiplication__2_digit___2_digit", "subconcepts": { "Column method multiplication": { "file": "Column_method_multiplication.json" }, "Estimation in multiplication": { "file": "Estimation_in_multiplication.json" }, "Multiplication word problems": { "file": "Multiplication_word_problems.json" } } }, "Division (Long Division)": { "folder_name": "Division__Long_Division", "subconcepts": { "Long division method": { "file": "Long_division_method.json" }, "Division with remainder": { "file": "Division_with_remainder.json" }, "Division by 1-digit and 2-digit numbers": { "file": "Division_by_1-digit_and_2-digit_numbers.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Fractions (Proper, Improper, Mixed)": { "folder_name": "Fractions__Proper,_Improper,_Mixed", "subconcepts": { "Proper and improper fractions": { "file": "Proper_and_improper_fractions.json" }, "Converting improper to mixed": { "file": "Converting_improper_to_mixed.json" }, "Equivalent fractions": { "file": "Equivalent_fractions.json" }, "Comparing fractions": { "file": "Comparing_fractions.json" } } }, "Decimals Introduction": { "folder_name": "Decimals_Introduction", "subconcepts": { "Tenths and hundredths": { "file": "Tenths_and_hundredths.json" }, "Writing decimals": { "file": "Writing_decimals.json" }, "Comparing decimals": { "file": "Comparing_decimals.json" }, "Decimals in money and measurement": { "file": "Decimals_in_money_and_measurement.json" } } }, "Angles and Lines": { "folder_name": "Angles_and_Lines", "subconcepts": { "Types of lines (parallel, perpendicular)": { "file": "Types_of_lines_parallel,_perpendicular.json" }, "Ray, line, line segment": { "file": "Ray,_line,_line_segment.json" }, "Types of angles": { "file": "Types_of_angles.json" }, "Measuring angles (intro)": { "file": "Measuring_angles_intro.json" } } }, "Perimeter and Area": { "folder_name": "Perimeter_and_Area", "subconcepts": { "Perimeter of rectangles and squares": { "file": "Perimeter_of_rectangles_and_squares.json" }, "Area by counting squares": { "file": "Area_by_counting_squares.json" }, "Area formulas (basic introduction)": { "file": "Area_formulas_basic_introduction.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Time Problems": { "folder_name": "Time_Problems", "subconcepts": { "Elapsed time": { "file": "Elapsed_time.json" }, "AM and PM": { "file": "AM_and_PM.json" }, "Calendar problems": { "file": "Calendar_problems.json" } } }, "Money Word Problems": { "folder_name": "Money_Word_Problems", "subconcepts": { "Bills and receipts": { "file": "Bills_and_receipts.json" }, "Profit and loss (intro)": { "file": "Profit_and_loss_intro.json" }, "Multi-step money problems": { "file": "Multi-step_money_problems.json" } } }, "Data Handling (Tables)": { "folder_name": "Data_Handling__Tables", "subconcepts": { "Reading data from tables": { "file": "Reading_data_from_tables.json" }, "Organizing data": { "file": "Organizing_data.json" }, "Making frequency tables": { "file": "Making_frequency_tables.json" } } } }, "grade_5": { "Numbers & Operations": { "folder_name": "Numbers_&_Operations", "subconcepts": { "Large numbers (up to 6-7 digits)": { "file": "Large_numbers_up_to_6-7_digits.json" }, "Estimation & rounding": { "file": "Estimation_&_rounding.json" }, "Addition & subtraction of large numbers": { "file": "Addition_&_subtraction_of_large_numbers.json" }, "Multiplication of bigger numbers": { "file": "Multiplication_of_bigger_numbers.json" }, "Division with remainder": { "file": "Division_with_remainder.json" }, "Multiples, common multiples": { "file": "Multiples,_common_multiples.json" }, "Factors, common factors, prime numbers": { "file": "Factors,_common_factors,_prime_numbers.json" } } }, "Fractions & Decimals": { "folder_name": "Fractions_&_Decimals", "subconcepts": { "Part of a whole (region + collection)": { "file": "Part_of_a_whole_region_+_collection.json" }, "Equivalent fractions": { "file": "Equivalent_fractions.json" }, "Comparing fractions": { "file": "Comparing_fractions.json" }, "Addition & subtraction (simple cases)": { "file": "Addition_&_subtraction_simple_cases.json" }, "Decimals (tenths, hundredths)": { "file": "Decimals_tenths,_hundredths.json" }, "Relation: fraction ↔ decimal": { "file": "Relation_fraction___decimal.json" }, "Using rupees and paise as decimals": { "file": "Using_rupees_and_paise_as_decimals.json" }, "Decimals in length/weight": { "file": "Decimals_in_lengthweight.json" } } }, "Geometry & Spatial Understanding": { "folder_name": "Geometry_&_Spatial_Understanding", "subconcepts": { "Types of polygons": { "file": "Types_of_polygons.json" }, "Squares & rectangles on grid": { "file": "Squares_&_rectangles_on_grid.json" }, "Types of angles": { "file": "Types_of_angles.json" }, "Comparing and drawing angles": { "file": "Comparing_and_drawing_angles.json" }, "Mirror images, line of symmetry": { "file": "Mirror_images,_line_of_symmetry.json" }, "Rotational symmetry": { "file": "Rotational_symmetry.json" }, "Cubes, cuboids, 3D objects": { "file": "Cubes,_cuboids,_3D_objects.json" }, "Nets of cubes/cuboids": { "file": "Nets_of_cubescuboids.json" }, "Basic map reading": { "file": "Basic_map_reading.json" }, "Symbols, scale, simple 4-directions": { "file": "Symbols,_scale,_simple_4-directions.json" } } }, "Measurement": { "folder_name": "Measurement", "subconcepts": { "Length": { "file": "Length.json" }, "Area": { "file": "Area.json" }, "Perimeter": { "file": "Perimeter.json" }, "Weight/Mass": { "file": "WeightMass.json" }, "Capacity": { "file": "Capacity.json" }, "Time & money": { "file": "Time_&_money.json" } } }, "Data Handling": { "folder_name": "Data_Handling", "subconcepts": { "Pictographs, tables, simple bar-/pie-charts": { "file": "Pictographs,_tables,_simple_bar-pie-charts.json" }, "Data making": { "file": "Data_making.json" }, "Data interpretation": { "file": "Data_interpretation.json" } } }, "Patterns, Sequences, Algebra Readiness": { "folder_name": "Patterns,_Sequences,_Algebra_Readiness", "subconcepts": { "Number patterns": { "file": "Number_patterns.json" }, "Tile Patterns": { "file": "Tile_Patterns.json" }, "Rule finding": { "file": "Rule_finding.json" }, "Simple equations": { "file": "Simple_equations.json" } } }, "Mathematical Reasoning & Word Problems (Across All Domains)": { "folder_name": "Mathematical_Reasoning_&_Word_Problems__Across_", "subconcepts": { "Multi-step word problems": { "file": "Multi-step_word_problems.json" }, "Choosing operations, checking reasonableness": { "file": "Choosing_operations,_checking_reasonableness.json" }, "Logical patterns, symmetry, nets, map-based reasoning": { "file": "Logical_patterns,_symmetry,_nets,_map-based_reasoning.json" }, "Figural patterns": { "file": "Figural_patterns.json" }, "Real-life mathematics (using maths in trades, travel, measurement at home, markets, etc.)": { "file": "Real-life_mathematics_using_maths_in_trades,_travel,_measurement_at_home,_markets,_etc.json" } } } }, "grade_6": { "Whole Numbers": { "folder_name": "Whole_Numbers", "subconcepts": { "Natural numbers vs whole numbers": { "file": "Natural_numbers_vs_whole_numbers.json" }, "Representation on number line": { "file": "Representation_on_number_line.json" }, "Successor and predecessor": { "file": "Successor_and_predecessor.json" }, "Properties of whole numbers": { "file": "Properties_of_whole_numbers.json" }, "Patterns in whole numbers": { "file": "Patterns_in_whole_numbers.json" } } }, "Integers": { "folder_name": "Integers", "subconcepts": { "Understanding positive and negative numbers": { "file": "Understanding_positive_and_negative_numbers.json" }, "Ordering and comparing integers": { "file": "Ordering_and_comparing_integers.json" }, "Representation on integer number line": { "file": "Representation_on_integer_number_line.json" }, "Addition of integers on number line": { "file": "Addition_of_integers_on_number_line.json" }, "Subtraction of integers on number line": { "file": "Subtraction_of_integers_on_number_line.json" } } }, "Fractions": { "folder_name": "Fractions", "subconcepts": { "Proper, improper & mixed fractions": { "file": "Proper,_improper_&_mixed_fractions.json" }, "Equivalent fractions": { "file": "Equivalent_fractions.json" }, "Like and unlike fractions": { "file": "Like_and_unlike_fractions.json" }, "Comparing fractions": { "file": "Comparing_fractions.json" }, "Addition and subtraction of fractions": { "file": "Addition_and_subtraction_of_fractions.json" } } }, "Decimals": { "folder_name": "Decimals", "subconcepts": { "Place value in decimals": { "file": "Place_value_in_decimals.json" }, "Comparison of decimals": { "file": "Comparison_of_decimals.json" }, "Addition of decimals": { "file": "Addition_of_decimals.json" }, "Subtraction of decimals": { "file": "Subtraction_of_decimals.json" }, "Decimals in money and measurement": { "file": "Decimals_in_money_and_measurement.json" } } }, "Data Handling": { "folder_name": "Data_Handling", "subconcepts": { "Collecting data": { "file": "Collecting_data.json" }, "Recording data (tables, tallies)": { "file": "Recording_data_tables,_tallies.json" }, "Pictographs": { "file": "Pictographs.json" }, "Bar graphs": { "file": "Bar_graphs.json" }, "Interpreting bar graphs": { "file": "Interpreting_bar_graphs.json" } } }, "Mensuration": { "folder_name": "Mensuration", "subconcepts": { "Perimeter of rectilinear figures": { "file": "Perimeter_of_rectilinear_figures.json" }, "Perimeter of triangle, square & rectangle": { "file": "Perimeter_of_triangle,_square_&_rectangle.json" }, "Area of rectangle": { "file": "Area_of_rectangle.json" }, "Area of square": { "file": "Area_of_square.json" }, "Word problems on area & perimeter": { "file": "Word_problems_on_area_&_perimeter.json" } } }, "Algebra": { "folder_name": "Algebra", "subconcepts": { "Use of variables": { "file": "Use_of_variables.json" }, "Expressions with variables": { "file": "Expressions_with_variables.json" }, "Forming algebraic expressions": { "file": "Forming_algebraic_expressions.json" }, "Solving simple equations (basic intro)": { "file": "Solving_simple_equations_basic_intro.json" } } }, "Ratio and Proportion": { "folder_name": "Ratio_and_Proportion", "subconcepts": { "Understanding ratio": { "file": "Understanding_ratio.json" }, "Equivalent ratios": { "file": "Equivalent_ratios.json" }, "Proportion": { "file": "Proportion.json" }, "Unitary method": { "file": "Unitary_method.json" }, "Word problems on ratio & proportion": { "file": "Word_problems_on_ratio_&_proportion.json" } } } }, "grade_7": { "Integers": { "folder_name": "Integers", "subconcepts": { "Recap of integers and number line": { "file": "Recap_of_integers_and_number_line.json" }, "Addition of integers": { "file": "Addition_of_integers.json" }, "Subtraction of integers": { "file": "Subtraction_of_integers.json" }, "Multiplication of integers": { "file": "Multiplication_of_integers.json" }, "Division of integers": { "file": "Division_of_integers.json" }, "Properties of operations on integers": { "file": "Properties_of_operations_on_integers.json" } } }, "Fractions and Decimals": { "folder_name": "Fractions_and_Decimals", "subconcepts": { "Equivalent fractions": { "file": "Equivalent_fractions.json" }, "Simplest form": { "file": "Simplest_form.json" }, "Addition & subtraction of fractions": { "file": "Addition_&_subtraction_of_fractions.json" }, "Multiplication of fractions": { "file": "Multiplication_of_fractions.json" }, "Division of fractions": { "file": "Division_of_fractions.json" }, "Multiplication of decimals": { "file": "Multiplication_of_decimals.json" }, "Division of decimals": { "file": "Division_of_decimals.json" } } }, "Data Handling": { "folder_name": "Data_Handling", "subconcepts": { "Collection and organisation of data": { "file": "Collection_and_organisation_of_data.json" }, "Mean, median and mode": { "file": "Mean,_median_and_mode.json" }, "Bar graphs (advanced)": { "file": "Bar_graphs_advanced.json" }, "Double bar graphs": { "file": "Double_bar_graphs.json" }, "Probability (basic introduction)": { "file": "Probability_basic_introduction.json" } } }, "Simple Equations": { "folder_name": "Simple_Equations", "subconcepts": { "Forming algebraic equations": { "file": "Forming_algebraic_equations.json" }, "Solving simple linear equations": { "file": "Solving_simple_linear_equations.json" }, "Transposing terms": { "file": "Transposing_terms.json" }, "Applications and word problems": { "file": "Applications_and_word_problems.json" } } }, "Lines and Angles": { "folder_name": "Lines_and_Angles", "subconcepts": { "Types of lines": { "file": "Types_of_lines.json" }, "Pairs of angles": { "file": "Pairs_of_angles.json" }, "Adjacent and vertical angles": { "file": "Adjacent_and_vertical_angles.json" }, "Linear pair": { "file": "Linear_pair.json" }, "Transversal and corresponding angles": { "file": "Transversal_and_corresponding_angles.json" }, "Alternate interior angles": { "file": "Alternate_interior_angles.json" } } }, "Triangles": { "folder_name": "Triangles", "subconcepts": { "Triangle basics (sides, vertices, angles)": { "file": "Triangle_basics_sides,_vertices,_angles.json" }, "Types of triangles": { "file": "Types_of_triangles.json" }, "Median and altitude": { "file": "Median_and_altitude.json" }, "Exterior angle theorem": { "file": "Exterior_angle_theorem.json" }, "Congruence introduction": { "file": "Congruence_introduction.json" } } }, "Congruence": { "folder_name": "Congruence", "subconcepts": { "Meaning of congruence": { "file": "Meaning_of_congruence.json" }, "Congruent line segments": { "file": "Congruent_line_segments.json" }, "Congruent angles": { "file": "Congruent_angles.json" }, "Congruence of triangles (SAS, SSS, ASA)": { "file": "Congruence_of_triangles_SAS,_SSS,_ASA.json" }, "Applications of congruence": { "file": "Applications_of_congruence.json" } } }, "Perimeter and Area": { "folder_name": "Perimeter_and_Area", "subconcepts": { "Perimeter of squares, rectangles, equilateral triangles": { "file": "Perimeter_of_squares,_rectangles,_equilateral_triangles.json" }, "Area of triangles, parallelograms": { "file": "Area_of_triangles,_parallelograms.json" }, "Area of circles (introduction)": { "file": "Area_of_circles_introduction.json" }, "Conversion of units": { "file": "Conversion_of_units.json" }, "Word problems": { "file": "Word_problems.json" } } } }, "grade_8": { "Rational Numbers": { "folder_name": "Rational_Numbers", "subconcepts": { "Introduction to rational numbers": { "file": "Introduction_to_rational_numbers.json" }, "Standard form of rational numbers": { "file": "Standard_form_of_rational_numbers.json" }, "Comparison of rational numbers": { "file": "Comparison_of_rational_numbers.json" }, "Addition of rational numbers": { "file": "Addition_of_rational_numbers.json" }, "Subtraction of rational numbers": { "file": "Subtraction_of_rational_numbers.json" }, "Multiplication of rational numbers": { "file": "Multiplication_of_rational_numbers.json" }, "Division of rational numbers": { "file": "Division_of_rational_numbers.json" }, "Properties of rational numbers": { "file": "Properties_of_rational_numbers.json" } } }, "Linear Equations": { "folder_name": "Linear_Equations", "subconcepts": { "Understanding linear expressions": { "file": "Understanding_linear_expressions.json" }, "Forming linear equations in one variable": { "file": "Forming_linear_equations_in_one_variable.json" }, "Solving linear equations (balance method)": { "file": "Solving_linear_equations_balance_method.json" }, "Transposing terms": { "file": "Transposing_terms.json" }, "Equations with variables on both sides": { "file": "Equations_with_variables_on_both_sides.json" }, "Applications and word problems": { "file": "Applications_and_word_problems.json" } } }, "Quadrilaterals": { "folder_name": "Quadrilaterals", "subconcepts": { "Types of quadrilaterals": { "file": "Types_of_quadrilaterals.json" }, "Properties of parallelogram": { "file": "Properties_of_parallelogram.json" }, "Properties of rectangle": { "file": "Properties_of_rectangle.json" }, "Properties of square, rhombus": { "file": "Properties_of_square,_rhombus.json" }, "Mid-point theorem (intro)": { "file": "Mid-point_theorem_intro.json" }, "Angle sum property": { "file": "Angle_sum_property.json" } } }, "Data Handling": { "folder_name": "Data_Handling", "subconcepts": { "Organisation of data": { "file": "Organisation_of_data.json" }, "Frequency tables": { "file": "Frequency_tables.json" }, "Bar graphs": { "file": "Bar_graphs.json" }, "Pie charts (circle graphs intro)": { "file": "Pie_charts_circle_graphs_intro.json" }, "Probability basics (simple events)": { "file": "Probability_basics_simple_events.json" } } }, "Squares and Square Roots": { "folder_name": "Squares_and_Square_Roots", "subconcepts": { "Properties of square numbers": { "file": "Properties_of_square_numbers.json" }, "Finding squares using identity": { "file": "Finding_squares_using_identity.json" }, "Square root using prime factorisation": { "file": "Square_root_using_prime_factorisation.json" }, "Square root using long division method": { "file": "Square_root_using_long_division_method.json" }, "Estimating square roots": { "file": "Estimating_square_roots.json" } } }, "Cubes and Cube Roots": { "folder_name": "Cubes_and_Cube_Roots", "subconcepts": { "Cube numbers and patterns": { "file": "Cube_numbers_and_patterns.json" }, "Properties of cubes": { "file": "Properties_of_cubes.json" }, "Prime factorisation method for cube roots": { "file": "Prime_factorisation_method_for_cube_roots.json" }, "Estimating cube roots": { "file": "Estimating_cube_roots.json" } } }, "Comparing Quantities": { "folder_name": "Comparing_Quantities", "subconcepts": { "Percentages recap": { "file": "Percentages_recap.json" }, "Increase and decrease percent": { "file": "Increase_and_decrease_percent.json" }, "Discount": { "file": "Discount.json" }, "Profit and loss": { "file": "Profit_and_loss.json" }, "Simple interest": { "file": "Simple_interest.json" }, "Compound interest (intro with formula)": { "file": "Compound_interest_intro_with_formula.json" } } }, "Algebraic Expressions": { "folder_name": "Algebraic_Expressions", "subconcepts": { "Terms, factors, coefficients": { "file": "Terms,_factors,_coefficients.json" }, "Types of algebraic expressions": { "file": "Types_of_algebraic_expressions.json" }, "Addition and subtraction of expressions": { "file": "Addition_and_subtraction_of_expressions.json" }, "Multiplication of algebraic expressions": { "file": "Multiplication_of_algebraic_expressions.json" }, "Identities a² – b², (a + b)², (a – b)²": { "file": "Identities_a____b__a__b__a___b.json" }, "Factorisation basics": { "file": "Factorisation_basics.json" } } } }, "grade_9": { "Number Systems": { "folder_name": "Number_Systems", "subconcepts": { "Review of rational numbers": { "file": "Review_of_rational_numbers.json" }, "Irrational numbers": { "file": "Irrational_numbers.json" }, "Real numbers and their decimal expansions": { "file": "Real_numbers_and_their_decimal_expansions.json" }, "Operations on real numbers": { "file": "Operations_on_real_numbers.json" }, "Representation of real numbers on number line": { "file": "Representation_of_real_numbers_on_number_line.json" }, "Laws of exponents for real numbers": { "file": "Laws_of_exponents_for_real_numbers.json" } } }, "Polynomials": { "folder_name": "Polynomials", "subconcepts": { "Types of polynomials (linear, quadratic, cubic)": { "file": "Types_of_polynomials_linear,_quadratic,_cubic.json" }, "Coefficient, degree and terms": { "file": "Coefficient,_degree_and_terms.json" }, "Zero of a polynomial": { "file": "Zero_of_a_polynomial.json" }, "Remainder theorem": { "file": "Remainder_theorem.json" }, "Factorisation of polynomials": { "file": "Factorisation_of_polynomials.json" }, "Algebraic identities": { "file": "Algebraic_identities.json" } } }, "Coordinate Geometry": { "folder_name": "Coordinate_Geometry", "subconcepts": { "Cartesian plane": { "file": "Cartesian_plane.json" }, "Plotting a point (x, y)": { "file": "Plotting_a_point_x,_y.json" }, "Quadrants": { "file": "Quadrants.json" }, "Distance of points (basic interpretation)": { "file": "Distance_of_points_basic_interpretation.json" } } }, "Linear Equations in Two Variables": { "folder_name": "Linear_Equations_in_Two_Variables", "subconcepts": { "Introduction to linear equations": { "file": "Introduction_to_linear_equations.json" }, "Solution of linear equations": { "file": "Solution_of_linear_equations.json" }, "Graph of linear equation": { "file": "Graph_of_linear_equation.json" }, "Infinite solutions": { "file": "Infinite_solutions.json" }, "Plotting linear equations on coordinate plane": { "file": "Plotting_linear_equations_on_coordinate_plane.json" } } }, "Euclids Geometry": { "folder_name": "Euclids_Geometry", "subconcepts": { "Euclid's definitions": { "file": "Euclid's_definitions.json" }, "Postulates": { "file": "Postulates.json" }, "Axioms": { "file": "Axioms.json" }, "Equivalent forms of postulates": { "file": "Equivalent_forms_of_postulates.json" }, "Understanding Euclidean geometry": { "file": "Understanding_Euclidean_geometry.json" } } }, "Lines and Angles": { "folder_name": "Lines_and_Angles", "subconcepts": { "Basic terms and definitions": { "file": "Basic_terms_and_definitions.json" }, "Intersecting lines": { "file": "Intersecting_lines.json" }, "Adjacent angles": { "file": "Adjacent_angles.json" }, "Linear pair": { "file": "Linear_pair.json" }, "Vertically opposite angles": { "file": "Vertically_opposite_angles.json" }, "Parallel lines and transversal": { "file": "Parallel_lines_and_transversal.json" }, "Corresponding angles": { "file": "Corresponding_angles.json" }, "Alternate interior angles": { "file": "Alternate_interior_angles.json" }, "Angle sum property of triangle": { "file": "Angle_sum_property_of_triangle.json" } } }, "Triangles": { "folder_name": "Triangles", "subconcepts": { "Congruence of triangles": { "file": "Congruence_of_triangles.json" }, "Criteria for congruence (SSS, SAS, ASA, RHS)": { "file": "Criteria_for_congruence_SSS,_SAS,_ASA,_RHS.json" }, "Properties of isosceles triangle": { "file": "Properties_of_isosceles_triangle.json" }, "Inequalities in a triangle": { "file": "Inequalities_in_a_triangle.json" } } }, "Quadrilaterals": { "folder_name": "Quadrilaterals", "subconcepts": { "Types of quadrilaterals": { "file": "Types_of_quadrilaterals.json" }, "Angle sum property": { "file": "Angle_sum_property.json" }, "Properties of parallelogram": { "file": "Properties_of_parallelogram.json" }, "Conditions for a quadrilateral to be a parallelogram": { "file": "Conditions_for_a_quadrilateral_to_be_a_parallelogram.json" }, "Midpoint theorem": { "file": "Midpoint_theorem.json" } } }, "Areas of Parallelograms and Triangles": { "folder_name": "Areas_of_Parallelograms_and_Triangles", "subconcepts": { "Basic area axioms": { "file": "Basic_area_axioms.json" }, "Parallelograms on same base and between same parallels": { "file": "Parallelograms_on_same_base_and_between_same_parallels.json" }, "Triangles on same base and between same parallels": { "file": "Triangles_on_same_base_and_between_same_parallels.json" }, "Relation between areas of triangles and parallelograms": { "file": "Relation_between_areas_of_triangles_and_parallelograms.json" } } }, "Circles": { "folder_name": "Circles", "subconcepts": { "Basic terms related to circles": { "file": "Basic_terms_related_to_circles.json" }, "Chord properties": { "file": "Chord_properties.json" }, "Perpendicular bisector theorem": { "file": "Perpendicular_bisector_theorem.json" }, "Equal chords and equal distances": { "file": "Equal_chords_and_equal_distances.json" }, "Arcs and angles": { "file": "Arcs_and_angles.json" }, "Angle subtended by chord": { "file": "Angle_subtended_by_chord.json" }, "Cyclic quadrilateral": { "file": "Cyclic_quadrilateral.json" } } }, "Constructions": { "folder_name": "Constructions", "subconcepts": { "Construction of bisectors": { "file": "Construction_of_bisectors.json" }, "Construction of angles": { "file": "Construction_of_angles.json" }, "Construction of triangles": { "file": "Construction_of_triangles.json" }, "Loci basics (indirectly through constructions)": { "file": "Loci_basics_indirectly_through_constructions.json" } } }, "Heron's Formula": { "folder_name": "Heron's_Formula", "subconcepts": { "Introduction": { "file": "Introduction.json" }, "Semi-perimeter": { "file": "Semi-perimeter.json" }, "Heron's formula for area of triangle": { "file": "Heron's_formula_for_area_of_triangle.json" }, "Application to quadrilaterals": { "file": "Application_to_quadrilaterals.json" } } }, "Surface Areas and Volumes": { "folder_name": "Surface_Areas_and_Volumes", "subconcepts": { "Surface area of cube": { "file": "Surface_area_of_cube.json" }, "Surface area of cuboid": { "file": "Surface_area_of_cuboid.json" }, "Surface area of right circular cylinder": { "file": "Surface_area_of_right_circular_cylinder.json" }, "Surface area of right circular cone": { "file": "Surface_area_of_right_circular_cone.json" }, "Surface area of sphere and hemisphere": { "file": "Surface_area_of_sphere_and_hemisphere.json" }, "Volume of cube": { "file": "Volume_of_cube.json" }, "Volume of cuboid": { "file": "Volume_of_cuboid.json" }, "Volume of cylinder": { "file": "Volume_of_cylinder.json" }, "Volume of cone": { "file": "Volume_of_cone.json" }, "Volume of sphere": { "file": "Volume_of_sphere.json" } } }, "Statistics": { "folder_name": "Statistics", "subconcepts": { "Collection of data": { "file": "Collection_of_data.json" }, "Organization of data": { "file": "Organization_of_data.json" }, "Grouped and ungrouped frequency distribution": { "file": "Grouped_and_ungrouped_frequency_distribution.json" }, "Mean": { "file": "Mean.json" }, "Median": { "file": "Median.json" }, "Mode": { "file": "Mode.json" } } }, "Probability": { "folder_name": "Probability", "subconcepts": { "Random experiments": { "file": "Random_experiments.json" }, "Outcome and sample space": { "file": "Outcome_and_sample_space.json" }, "Event": { "file": "Event.json" }, "Simple problems on probability": { "file": "Simple_problems_on_probability.json" } } } }, "grade_10": { "Real Numbers": { "folder_name": "Real_Numbers", "subconcepts": { "Euclid's division lemma": { "file": "Euclid's_division_lemma.json" }, "Fundamental theorem of arithmetic": { "file": "Fundamental_theorem_of_arithmetic.json" }, "Prime factorisation": { "file": "Prime_factorisation.json" }, "HCF and LCM using prime factorisation": { "file": "HCF_and_LCM_using_prime_factorisation.json" }, "Irrational numbers (review)": { "file": "Irrational_numbers_review.json" }, "Decimal expansions of real numbers": { "file": "Decimal_expansions_of_real_numbers.json" } } }, "Polynomials": { "folder_name": "Polynomials", "subconcepts": { "Zeros of a polynomial": { "file": "Zeros_of_a_polynomial.json" }, "Relationship between zeros and coefficients": { "file": "Relationship_between_zeros_and_coefficients.json" }, "Quadratic polynomial": { "file": "Quadratic_polynomial.json" }, "Graphical meaning of zeros": { "file": "Graphical_meaning_of_zeros.json" }, "Division algorithm for polynomials": { "file": "Division_algorithm_for_polynomials.json" } } }, "Pair of Linear Equations in Two Variables": { "folder_name": "Pair_of_Linear_Equations_in_Two_Variables", "subconcepts": { "Graphical method of solution": { "file": "Graphical_method_of_solution.json" }, "Consistency and inconsistency": { "file": "Consistency_and_inconsistency.json" }, "Substitution method": { "file": "Substitution_method.json" }, "Elimination method": { "file": "Elimination_method.json" }, "Cross multiplication method": { "file": "Cross_multiplication_method.json" }, "Applications and word problems": { "file": "Applications_and_word_problems.json" } } }, "Quadratic Equations": { "folder_name": "Quadratic_Equations", "subconcepts": { "Standard form of quadratic equation": { "file": "Standard_form_of_quadratic_equation.json" }, "Solution by factorisation": { "file": "Solution_by_factorisation.json" }, "Solution by completing the square": { "file": "Solution_by_completing_the_square.json" }, "Quadratic formula": { "file": "Quadratic_formula.json" }, "Nature of roots (discriminant)": { "file": "Nature_of_roots_discriminant.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Arithmetic Progressions": { "folder_name": "Arithmetic_Progressions", "subconcepts": { "Definition and terms": { "file": "Definition_and_terms.json" }, "General term of AP": { "file": "General_term_of_AP.json" }, "Sum of first n terms": { "file": "Sum_of_first_n_terms.json" }, "Applications and word problems": { "file": "Applications_and_word_problems.json" } } }, "Triangles": { "folder_name": "Triangles", "subconcepts": { "Similarity of triangles": { "file": "Similarity_of_triangles.json" }, "Conditions for similarity": { "file": "Conditions_for_similarity.json" }, "Basic proportionality theorem (Thales BPT)": { "file": "Basic_proportionality_theorem_Thales_BPT.json" }, "Criteria for similarity (AA, SAS, SSS)": { "file": "Criteria_for_similarity_AA,_SAS,_SSS.json" }, "Area ratio of similar triangles": { "file": "Area_ratio_of_similar_triangles.json" }, "Pythagoras theorem": { "file": "Pythagoras_theorem.json" }, "Converse of Pythagoras theorem": { "file": "Converse_of_Pythagoras_theorem.json" } } }, "Coordinate Geometry": { "folder_name": "Coordinate_Geometry", "subconcepts": { "Distance formula": { "file": "Distance_formula.json" }, "Section formula": { "file": "Section_formula.json" }, "Midpoint formula": { "file": "Midpoint_formula.json" }, "Area of triangle using coordinates": { "file": "Area_of_triangle_using_coordinates.json" } } }, "Trigonometry": { "folder_name": "Trigonometry", "subconcepts": { "Introduction to trigonometric ratios": { "file": "Introduction_to_trigonometric_ratios.json" }, "Trigonometric ratios of specific angles": { "file": "Trigonometric_ratios_of_specific_angles.json" }, "Trigonometric identities": { "file": "Trigonometric_identities.json" }, "Complementary angles": { "file": "Complementary_angles.json" } } }, "Applications of Trigonometry": { "folder_name": "Applications_of_Trigonometry", "subconcepts": { "Heights and distances": { "file": "Heights_and_distances.json" }, "Line of sight": { "file": "Line_of_sight.json" }, "Angle of elevation": { "file": "Angle_of_elevation.json" }, "Angle of depression": { "file": "Angle_of_depression.json" } } }, "Circles": { "folder_name": "Circles", "subconcepts": { "Tangent to a circle": { "file": "Tangent_to_a_circle.json" }, "Properties of tangents": { "file": "Properties_of_tangents.json" }, "Number of tangents from a point": { "file": "Number_of_tangents_from_a_point.json" }, "Proof that radius is perpendicular to tangent": { "file": "Proof_that_radius_is_perpendicular_to_tangent.json" } } }, "Constructions": { "folder_name": "Constructions", "subconcepts": { "Division of a line segment": { "file": "Division_of_a_line_segment.json" }, "Construction of a triangle similar to a given triangle": { "file": "Construction_of_a_triangle_similar_to_a_given_triangle.json" }, "Construction of tangents to a circle": { "file": "Construction_of_tangents_to_a_circle.json" } } }, "Areas Related to Circles": { "folder_name": "Areas_Related_to_Circles", "subconcepts": { "Perimeter and area of circle": { "file": "Perimeter_and_area_of_circle.json" }, "Area of sector": { "file": "Area_of_sector.json" }, "Area of segment": { "file": "Area_of_segment.json" }, "Areas of combinations of circles and simple figures": { "file": "Areas_of_combinations_of_circles_and_simple_figures.json" } } }, "Surface Areas and Volumes": { "folder_name": "Surface_Areas_and_Volumes", "subconcepts": { "Surface area of cylinder, cone, sphere": { "file": "Surface_area_of_cylinder,_cone,_sphere.json" }, "Volume of cylinder, cone, sphere": { "file": "Volume_of_cylinder,_cone,_sphere.json" }, "Frustum of a cone": { "file": "Frustum_of_a_cone.json" }, "Combination of 3D shapes": { "file": "Combination_of_3D_shapes.json" }, "Conversion between one solid to another": { "file": "Conversion_between_one_solid_to_another.json" } } }, "Statistics": { "folder_name": "Statistics", "subconcepts": { "Mean using direct, assumed mean and step deviation methods": { "file": "Mean_using_direct,_assumed_mean_and_step_deviation_methods.json" }, "Mode": { "file": "Mode.json" }, "Median": { "file": "Median.json" }, "Graphical representation (ogive)": { "file": "Graphical_representation_ogive.json" } } }, "Probability": { "folder_name": "Probability", "subconcepts": { "Classical probability": { "file": "Classical_probability.json" }, "Complementary events": { "file": "Complementary_events.json" }, "Simple problems based on probability": { "file": "Simple_problems_based_on_probability.json" } } } }, "grade_11": { "Sets": { "folder_name": "Sets", "subconcepts": { "Definition of set": { "file": "Definition_of_set.json" }, "Roster and set-builder forms": { "file": "Roster_and_set-builder_forms.json" }, "Types of sets": { "file": "Types_of_sets.json" }, "Subsets": { "file": "Subsets.json" }, "Power set": { "file": "Power_set.json" }, "Universal set": { "file": "Universal_set.json" }, "Venn diagrams": { "file": "Venn_diagrams.json" }, "Operations on sets": { "file": "Operations_on_sets.json" }, "Complement of a set": { "file": "Complement_of_a_set.json" } } }, "Relations and Functions": { "folder_name": "Relations_and_Functions", "subconcepts": { "Ordered pairs": { "file": "Ordered_pairs.json" }, "Cartesian product of sets": { "file": "Cartesian_product_of_sets.json" }, "Relations": { "file": "Relations.json" }, "Domain and range": { "file": "Domain_and_range.json" }, "Functions": { "file": "Functions.json" }, "Types of functions": { "file": "Types_of_functions.json" }, "Real valued functions and graphs": { "file": "Real_valued_functions_and_graphs.json" } } }, "Trigonometric Functions": { "folder_name": "Trigonometric_Functions", "subconcepts": { "Angles in radians & degrees": { "file": "Angles_in_radians_&_degrees.json" }, "Trigonometric functions and their graphs": { "file": "Trigonometric_functions_and_their_graphs.json" }, "Signs of trigonometric functions": { "file": "Signs_of_trigonometric_functions.json" }, "Trigonometric identities": { "file": "Trigonometric_identities.json" }, "General solutions of trigonometric equations": { "file": "General_solutions_of_trigonometric_equations.json" } } }, "Principle of Mathematical Induction": { "folder_name": "Principle_of_Mathematical_Induction", "subconcepts": { "Meaning of induction": { "file": "Meaning_of_induction.json" }, "Steps of mathematical induction": { "file": "Steps_of_mathematical_induction.json" }, "Proof of statements using induction": { "file": "Proof_of_statements_using_induction.json" } } }, "Complex Numbers and Quadratic Equations": { "folder_name": "Complex_Numbers_and_Quadratic_Equations", "subconcepts": { "Need for complex numbers": { "file": "Need_for_complex_numbers.json" }, "Imaginary unit i": { "file": "Imaginary_unit_i.json" }, "Algebra of complex numbers": { "file": "Algebra_of_complex_numbers.json" }, "Polar form": { "file": "Polar_form.json" }, "Modulus and argument": { "file": "Modulus_and_argument.json" }, "Quadratic equations over complex numbers": { "file": "Quadratic_equations_over_complex_numbers.json" } } }, "Linear Inequalities": { "folder_name": "Linear_Inequalities", "subconcepts": { "Inequalities in one variable": { "file": "Inequalities_in_one_variable.json" }, "Inequalities in two variables": { "file": "Inequalities_in_two_variables.json" }, "Graphical solution of inequalities": { "file": "Graphical_solution_of_inequalities.json" } } }, "Permutations and Combinations": { "folder_name": "Permutations_and_Combinations", "subconcepts": { "Fundamental principle of counting": { "file": "Fundamental_principle_of_counting.json" }, "Factorials": { "file": "Factorials.json" }, "Permutations": { "file": "Permutations.json" }, "Combinations": { "file": "Combinations.json" }, "Applications": { "file": "Applications.json" } } }, "Binomial Theorem": { "folder_name": "Binomial_Theorem", "subconcepts": { "Binomial theorem for positive integers": { "file": "Binomial_theorem_for_positive_integers.json" }, "General term": { "file": "General_term.json" }, "Middle term": { "file": "Middle_term.json" }, "Simple applications": { "file": "Simple_applications.json" } } }, "Sequences and Series": { "folder_name": "Sequences_and_Series", "subconcepts": { "Sequences": { "file": "Sequences.json" }, "Series": { "file": "Series.json" }, "Arithmetic progression": { "file": "Arithmetic_progression.json" }, "Geometric progression": { "file": "Geometric_progression.json" }, "Sum formulas": { "file": "Sum_formulas.json" }, "Special series": { "file": "Special_series.json" } } }, "Straight Lines": { "folder_name": "Straight_Lines", "subconcepts": { "Slope": { "file": "Slope.json" }, "Various forms of equations of line": { "file": "Various_forms_of_equations_of_line.json" }, "Point-slope form": { "file": "Point-slope_form.json" }, "Two-point form": { "file": "Two-point_form.json" }, "Intercept form": { "file": "Intercept_form.json" }, "Distance of a point from a line": { "file": "Distance_of_a_point_from_a_line.json" }, "Angle between two lines": { "file": "Angle_between_two_lines.json" } } }, "Conic Sections": { "folder_name": "Conic_Sections", "subconcepts": { "Circle": { "file": "Circle.json" }, "Parabola": { "file": "Parabola.json" }, "Ellipse": { "file": "Ellipse.json" }, "Hyperbola": { "file": "Hyperbola.json" }, "Standard equations & simple properties": { "file": "Standard_equations_&_simple_properties.json" } } }, "Introduction to 3D Geometry": { "folder_name": "Introduction_to_3D_Geometry", "subconcepts": { "Coordinates in 3D space": { "file": "Coordinates_in_3D_space.json" }, "Distance formula in 3D": { "file": "Distance_formula_in_3D.json" }, "Section formula in 3D divider": { "file": "Section_formula_in_3D_divider.json" } } }, "Limits and Derivatives": { "folder_name": "Limits_and_Derivatives", "subconcepts": { "Intuitive understanding of limits": { "file": "Intuitive_understanding_of_limits.json" }, "Standard limits": { "file": "Standard_limits.json" }, "Limit laws": { "file": "Limit_laws.json" }, "Derivative from first principle": { "file": "Derivative_from_first_principle.json" }, "Derivatives of polynomial and simple functions": { "file": "Derivatives_of_polynomial_and_simple_functions.json" } } }, "Statistics": { "folder_name": "Statistics", "subconcepts": { "Measures of dispersion": { "file": "Measures_of_dispersion.json" }, "Range": { "file": "Range.json" }, "Mean deviation": { "file": "Mean_deviation.json" }, "Variance": { "file": "Variance.json" }, "Standard deviation": { "file": "Standard_deviation.json" } } }, "Probability": { "folder_name": "Probability", "subconcepts": { "Random experiment": { "file": "Random_experiment.json" }, "Sample space": { "file": "Sample_space.json" }, "Events": { "file": "Events.json" }, "Classical probability": { "file": "Classical_probability.json" }, "Addition rule": { "file": "Addition_rule.json" }, "Multiplication rule": { "file": "Multiplication_rule.json" }, "Independent and dependent events": { "file": "Independent_and_dependent_events.json" } } } }, "grade_12": { "Relations and Functions": { "folder_name": "Relations_and_Functions", "subconcepts": { "Types of relations": { "file": "Types_of_relations.json" }, "Reflexive, symmetric, transitive relations": { "file": "Reflexive,_symmetric,_transitive_relations.json" }, "Equivalence relations": { "file": "Equivalence_relations.json" }, "Functions": { "file": "Functions.json" }, "Types of functions": { "file": "Types_of_functions.json" }, "One-one, onto, bijection": { "file": "One-one,_onto,_bijection.json" }, "Composite functions": { "file": "Composite_functions.json" }, "Invertible functions": { "file": "Invertible_functions.json" } } }, "Inverse Trigonometric Functions": { "folder_name": "Inverse_Trigonometric_Functions", "subconcepts": { "Principal values of inverse trig functions": { "file": "Principal_values_of_inverse_trig_functions.json" }, "Domains and ranges": { "file": "Domains_and_ranges.json" }, "Properties of inverse trig functions": { "file": "Properties_of_inverse_trig_functions.json" }, "Simple identities": { "file": "Simple_identities.json" } } }, "Matrices": { "folder_name": "Matrices", "subconcepts": { "Types of matrices": { "file": "Types_of_matrices.json" }, "Equal matrices": { "file": "Equal_matrices.json" }, "Matrix addition and multiplication": { "file": "Matrix_addition_and_multiplication.json" }, "Transpose": { "file": "Transpose.json" }, "Symmetric and skew-symmetric": { "file": "Symmetric_and_skew-symmetric.json" }, "Determinant of a matrix": { "file": "Determinant_of_a_matrix.json" }, "Invertible matrix": { "file": "Invertible_matrix.json" }, "Adjoint and inverse": { "file": "Adjoint_and_inverse.json" } } }, "Determinants": { "folder_name": "Determinants", "subconcepts": { "Determinant of 2×2 and 3×3 matrices": { "file": "Determinant_of_2_2_and_3_3_matrices.json" }, "Properties of determinants": { "file": "Properties_of_determinants.json" }, "Cofactors": { "file": "Cofactors.json" }, "Adjoint": { "file": "Adjoint.json" }, "Application in area": { "file": "Application_in_area.json" }, "Solving linear equations using determinants": { "file": "Solving_linear_equations_using_determinants.json" } } }, "Continuity and Differentiability": { "folder_name": "Continuity_and_Differentiability", "subconcepts": { "Continuity of functions": { "file": "Continuity_of_functions.json" }, "Differentiability": { "file": "Differentiability.json" }, "Chain rule": { "file": "Chain_rule.json" }, "Derivatives of inverse trig functions": { "file": "Derivatives_of_inverse_trig_functions.json" }, "Exponential and logarithmic functions": { "file": "Exponential_and_logarithmic_functions.json" }, "Implicit differentiation": { "file": "Implicit_differentiation.json" }, "Second order derivatives": { "file": "Second_order_derivatives.json" } } }, "Applications of Derivatives": { "folder_name": "Applications_of_Derivatives", "subconcepts": { "Rate of change": { "file": "Rate_of_change.json" }, "Increasing and decreasing functions": { "file": "Increasing_and_decreasing_functions.json" }, "Maxima and minima": { "file": "Maxima_and_minima.json" }, "Tangents and normals": { "file": "Tangents_and_normals.json" }, "Approximations": { "file": "Approximations.json" }, "Simple optimization problems": { "file": "Simple_optimization_problems.json" } } }, "Integrals": { "folder_name": "Integrals", "subconcepts": { "Integration as inverse of differentiation": { "file": "Integration_as_inverse_of_differentiation.json" }, "Methods of integration": { "file": "Methods_of_integration.json" }, "Substitution": { "file": "Substitution.json" }, "Partial fractions": { "file": "Partial_fractions.json" }, "Integration by parts": { "file": "Integration_by_parts.json" }, "Definite integrals": { "file": "Definite_integrals.json" }, "Properties of definite integrals": { "file": "Properties_of_definite_integrals.json" } } }, "Applications of Integrals": { "folder_name": "Applications_of_Integrals", "subconcepts": { "Area under curves": { "file": "Area_under_curves.json" }, "Area between two curves": { "file": "Area_between_two_curves.json" } } }, "Differential Equations": { "folder_name": "Differential_Equations", "subconcepts": { "Basic concepts": { "file": "Basic_concepts.json" }, "Order and degree": { "file": "Order_and_degree.json" }, "Formation of differential equations": { "file": "Formation_of_differential_equations.json" }, "Solutions of differential equations": { "file": "Solutions_of_differential_equations.json" }, "Linear differential equations": { "file": "Linear_differential_equations.json" }, "Variable separable method": { "file": "Variable_separable_method.json" } } }, "Vector Algebra": { "folder_name": "Vector_Algebra", "subconcepts": { "Vectors and scalars": { "file": "Vectors_and_scalars.json" }, "Types of vectors": { "file": "Types_of_vectors.json" }, "Addition of vectors": { "file": "Addition_of_vectors.json" }, "Linear combination": { "file": "Linear_combination.json" }, "Scalar (dot) product": { "file": "Scalar_dot_product.json" }, "Vector (cross) product": { "file": "Vector_cross_product.json" }, "Applications": { "file": "Applications.json" } } }, "Three Dimensional Geometry": { "folder_name": "Three_Dimensional_Geometry", "subconcepts": { "Direction cosines and ratios": { "file": "Direction_cosines_and_ratios.json" }, "Equation of a line in space": { "file": "Equation_of_a_line_in_space.json" }, "Cartesian and vector forms": { "file": "Cartesian_and_vector_forms.json" }, "Equation of a plane": { "file": "Equation_of_a_plane.json" }, "Angle between two lines": { "file": "Angle_between_two_lines.json" }, "Angle between line and plane": { "file": "Angle_between_line_and_plane.json" }, "Distance between two points": { "file": "Distance_between_two_points.json" }, "Distance between point and plane": { "file": "Distance_between_point_and_plane.json" } } }, "Linear Programming": { "folder_name": "Linear_Programming", "subconcepts": { "Formulation of LPP": { "file": "Formulation_of_LPP.json" }, "Graphical method": { "file": "Graphical_method.json" }, "Feasible region": { "file": "Feasible_region.json" }, "Optimal solutions": { "file": "Optimal_solutions.json" } } }, "Probability": { "folder_name": "Probability", "subconcepts": { "Conditional probability": { "file": "Conditional_probability.json" }, "Multiplication theorem": { "file": "Multiplication_theorem.json" }, "Independent events": { "file": "Independent_events.json" }, "Total probability theorem": { "file": "Total_probability_theorem.json" }, "Bayes theorem": { "file": "Bayes_theorem.json" }, "Random variables": { "file": "Random_variables.json" }, "Probability distribution": { "file": "Probability_distribution.json" }, "Mean and variance of random variables": { "file": "Mean_and_variance_of_random_variables.json" } } } } }, "icse": { "grade_1": { "Numbers up to 100": { "folder_name": "Numbers_up_to_100", "subconcepts": { "Counting 1-100": { "file": "Counting_1-100.json" }, "Number names": { "file": "Number_names.json" }, "Place value (ones and tens)": { "file": "Place_value_ones_and_tens.json" }, "Number sequencing": { "file": "Number_sequencing.json" }, "Before, after, between": { "file": "Before,_after,_between.json" } } }, "Addition": { "folder_name": "Addition", "subconcepts": { "Addition within 20": { "file": "Addition_within_20.json" }, "Using number line": { "file": "Using_number_line.json" }, "Addition facts": { "file": "Addition_facts.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Subtraction": { "folder_name": "Subtraction", "subconcepts": { "Subtraction within 20": { "file": "Subtraction_within_20.json" }, "Using number line": { "file": "Using_number_line.json" }, "Subtraction facts": { "file": "Subtraction_facts.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Shapes": { "folder_name": "Shapes", "subconcepts": { "2D shapes (circle, square, triangle, rectangle)": { "file": "2D_shapes_circle,_square,_triangle,_rectangle.json" }, "3D shapes (cube, sphere, cylinder, cone)": { "file": "3D_shapes_cube,_sphere,_cylinder,_cone.json" }, "Identifying shapes in surroundings": { "file": "Identifying_shapes_in_surroundings.json" } } }, "Measurement": { "folder_name": "Measurement", "subconcepts": { "Length (long, short, tall)": { "file": "Length_long,_short,_tall.json" }, "Weight (heavy, light)": { "file": "Weight_heavy,_light.json" }, "Capacity (more, less, full, empty)": { "file": "Capacity_more,_less,_full,_empty.json" } } }, "Time": { "folder_name": "Time", "subconcepts": { "Days of the week": { "file": "Days_of_the_week.json" }, "Months of the year": { "file": "Months_of_the_year.json" }, "Reading clock (hours only)": { "file": "Reading_clock_hours_only.json" }, "Yesterday, today, tomorrow": { "file": "Yesterday,_today,_tomorrow.json" } } }, "Money": { "folder_name": "Money", "subconcepts": { "Recognizing coins": { "file": "Recognizing_coins.json" }, "Counting money (simple)": { "file": "Counting_money_simple.json" }, "Buying and selling": { "file": "Buying_and_selling.json" } } }, "Patterns": { "folder_name": "Patterns", "subconcepts": { "Color patterns": { "file": "Color_patterns.json" }, "Shape patterns": { "file": "Shape_patterns.json" }, "Number patterns": { "file": "Number_patterns.json" }, "Completing patterns": { "file": "Completing_patterns.json" } } } }, "grade_2": { "Numbers up to 1000": { "folder_name": "Numbers_up_to_1000", "subconcepts": { "Counting 1 to 1000": { "file": "Counting_to_1000.json" }, "Place value (hundreds, tens, ones)": { "file": "Place_value_hundreds,_tens,_ones.json" }, "Expanded form": { "file": "Expanded_form.json" }, "Comparing numbers": { "file": "Comparing_numbers.json" }, "Ordering numbers": { "file": "Ordering_numbers.json" } } }, "Addition": { "folder_name": "Addition", "subconcepts": { "2-digit addition without carry": { "file": "2-digit_addition_without_carry.json" }, "2-digit addition with carry": { "file": "2-digit_addition_with_carry.json" }, "3-digit addition": { "file": "3-digit_addition.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Subtraction": { "folder_name": "Subtraction", "subconcepts": { "2-digit subtraction without borrow": { "file": "2-digit_subtraction_without_borrow.json" }, "2-digit subtraction with borrow": { "file": "2-digit_subtraction_with_borrow.json" }, "3-digit subtraction": { "file": "3-digit_subtraction.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Multiplication": { "folder_name": "Multiplication", "subconcepts": { "Concept of multiplication": { "file": "Concept_of_multiplication.json" }, "Multiplication as repeated addition": { "file": "Multiplication_as_repeated_addition.json" }, "Tables 2, 3, 4, 5, 10": { "file": "Tables_2,_3,_4,_5,_10.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Division": { "folder_name": "Division", "subconcepts": { "Concept of division": { "file": "Concept_of_division.json" }, "Division as repeated subtraction": { "file": "Division_as_repeated_subtraction.json" }, "Simple division facts": { "file": "Simple_division_facts.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Fractions": { "folder_name": "Fractions", "subconcepts": { "Concept of half and quarter": { "file": "Concept_of_half_and_quarter.json" }, "Identifying fractions in shapes": { "file": "Identifying_fractions_in_shapes.json" }, "Simple fraction representation": { "file": "Simple_fraction_representation.json" } } }, "Geometry": { "folder_name": "Geometry", "subconcepts": { "Lines (straight, curved)": { "file": "Lines_straight,_curved.json" }, "Points and line segments": { "file": "Points_and_line_segments.json" }, "Open and closed figures": { "file": "Open_and_closed_figures.json" }, "Symmetry": { "file": "Symmetry.json" } } }, "Measurement": { "folder_name": "Measurement", "subconcepts": { "Standard units (cm, m)": { "file": "Standard_units_cm,_m.json" }, "Measuring length": { "file": "Measuring_length.json" }, "Measuring weight (g, kg)": { "file": "Measuring_weight_g,_kg.json" }, "Measuring capacity (ml, l)": { "file": "Measuring_capacity_ml,_l.json" } } }, "Time": { "folder_name": "Time", "subconcepts": { "Reading clock (hours and half hours)": { "file": "Reading_clock_hours_and_half_hours.json" }, "AM and PM": { "file": "AM_and_PM.json" }, "Calendar reading": { "file": "Calendar_reading.json" }, "Duration of time": { "file": "Duration_of_time.json" } } } }, "grade_3": { "Numbers up to 10000": { "folder_name": "Numbers_up_to_10000", "subconcepts": { "Place value (thousands)": { "file": "Place_value_thousands.json" }, "Expanded and standard form": { "file": "Expanded_and_standard_form.json" }, "Comparing and ordering": { "file": "Comparing_and_ordering.json" }, "Roman numerals (I to XX)": { "file": "Roman_numerals_I_to_XX.json" }, "Rounding off numbers": { "file": "Rounding_off_numbers.json" } } }, "Addition and Subtraction": { "folder_name": "Addition_and_Subtraction", "subconcepts": { "4-digit addition": { "file": "4-digit_addition.json" }, "4-digit subtraction": { "file": "4-digit_subtraction.json" }, "Mixed operations": { "file": "Mixed_operations.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Multiplication": { "folder_name": "Multiplication", "subconcepts": { "Tables 2 to 10": { "file": "Tables_2_to_10.json" }, "2-digit × 1-digit": { "file": "2_digit__1_digit.json" }, "3-digit × 1-digit": { "file": "3_digit__1_digit.json" }, "Properties of multiplication": { "file": "Properties_of_multiplication.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Division": { "folder_name": "Division", "subconcepts": { "Division facts": { "file": "Division_facts.json" }, "Division by 1-digit": { "file": "Division_by_1-digit.json" }, "Division with remainder": { "file": "Division_with_remainder.json" }, "Relationship with multiplication": { "file": "Relationship_with_multiplication.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Geometry": { "folder_name": "Geometry", "subconcepts": { "Types of lines (parallel, perpendicular, intersecting)": { "file": "Types_of_lines_parallel,_perpendicular,_intersecting.json" }, "Types of angles (right, acute, obtuse)": { "file": "Types_of_angles_right,_acute,_obtuse.json" }, "Triangles and their types": { "file": "Triangles_and_their_types.json" }, "Quadrilaterals": { "file": "Quadrilaterals.json" }, "Perimeter of shapes": { "file": "Perimeter_of_shapes.json" } } }, "Measurement": { "folder_name": "Measurement", "subconcepts": { "Converting units (length, weight, capacity)": { "file": "Converting_units_length,_weight,_capacity.json" }, "Perimeter": { "file": "Perimeter.json" }, "Area (concept)": { "file": "Area_concept.json" }, "Temperature": { "file": "Temperature.json" } } }, "Time": { "folder_name": "Time", "subconcepts": { "Reading time (minutes)": { "file": "Reading_time_minutes.json" }, "24-hour clock": { "file": "24-hour_clock.json" }, "Time intervals": { "file": "Time_intervals.json" }, "Word problems on time": { "file": "Word_problems_on_time.json" } } }, "Money": { "folder_name": "Money", "subconcepts": { "Four operations on money": { "file": "Four_operations_on_money.json" }, "Profit and loss (simple)": { "file": "Profit_and_loss_simple.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Data Handling": { "folder_name": "Data_Handling", "subconcepts": { "Bar graphs": { "file": "Bar_graphs.json" }, "Pictographs": { "file": "Pictographs.json" }, "Interpretation of data": { "file": "Interpretation_of_data.json" } } } }, "grade_4": { "Numbers up to Lakhs": { "folder_name": "Numbers_up_to_Lakhs", "subconcepts": { "Indian and International system": { "file": "Indian_and_International_system.json" }, "Place value up to lakhs": { "file": "Place_value_up_to_lakhs.json" }, "Expanded form": { "file": "Expanded_form.json" }, "Comparing and ordering": { "file": "Comparing_and_ordering.json" }, "Roman numerals (up to L)": { "file": "Roman_numerals_up_to_L.json" } } }, "Four Operations": { "folder_name": "Four_Operations", "subconcepts": { "Large number addition": { "file": "Large_number_addition.json" }, "Large number subtraction": { "file": "Large_number_subtraction.json" }, "Multiplication by 2-digit numbers": { "file": "Multiplication_by_2-digit_numbers.json" }, "Division by 2-digit numbers": { "file": "Division_by_2-digit_numbers.json" }, "Mixed operations": { "file": "Mixed_operations.json" } } }, "Factors and Multiples": { "folder_name": "Factors_and_Multiples", "subconcepts": { "Factors": { "file": "Factors.json" }, "Multiples": { "file": "Multiples.json" }, "Prime and composite numbers": { "file": "Prime_and_composite_numbers.json" }, "Prime factorization": { "file": "Prime_factorization.json" }, "HCF and LCM": { "file": "HCF_and_LCM.json" } } }, "Fractions": { "folder_name": "Fractions", "subconcepts": { "Operations on fractions": { "file": "Operations_on_fractions.json" }, "Simplification": { "file": "Simplification.json" }, "Multiplication of fractions": { "file": "Multiplication_of_fractions.json" }, "Division of fractions": { "file": "Division_of_fractions.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Decimals": { "folder_name": "Decimals", "subconcepts": { "Addition of decimals": { "file": "Addition_of_decimals.json" }, "Subtraction of decimals": { "file": "Subtraction_of_decimals.json" }, "Multiplication of decimals": { "file": "Multiplication_of_decimals.json" }, "Division of decimals": { "file": "Division_of_decimals.json" }, "Conversion between fractions and decimals": { "file": "Conversion_between_fractions_and_decimals.json" } } }, "Mensuration": { "folder_name": "Mensuration", "subconcepts": { "Perimeter of rectangle and square": { "file": "Perimeter_of_rectangle_and_square.json" }, "Area of rectangle and square": { "file": "Area_of_rectangle_and_square.json" }, "Area of triangle": { "file": "Area_of_triangle.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Unitary Method": { "folder_name": "Unitary_Method", "subconcepts": { "Direct proportion": { "file": "Direct_proportion.json" }, "Simple problems": { "file": "Simple_problems.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Time and Calendar": { "folder_name": "Time_and_Calendar", "subconcepts": { "Time calculations": { "file": "Time_calculations.json" }, "Calendar problems": { "file": "Calendar_problems.json" }, "Leap year": { "file": "Leap_year.json" }, "Time zones (basic)": { "file": "Time_zones_basic.json" } } }, "Money": { "folder_name": "Money", "subconcepts": { "Profit, loss, cost price, selling price": { "file": "Profit,_loss,_cost_price,_selling_price.json" }, "Simple interest (introduction)": { "file": "Simple_interest_introduction.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Data Handling": { "folder_name": "Data_Handling", "subconcepts": { "Tables and charts": { "file": "Tables_and_charts.json" }, "Bar graphs (double)": { "file": "Bar_graphs_double.json" }, "Line graphs": { "file": "Line_graphs.json" } } } }, "grade_5": { "Numbers up to Crores": { "folder_name": "Numbers_up_to_Crores", "subconcepts": { "Place value up to crores": { "file": "Place_value_up_to_crores.json" }, "Indian and International systems": { "file": "Indian_and_International_systems.json" }, "Comparing large numbers": { "file": "Comparing_large_numbers.json" }, "Roman numerals (up to C)": { "file": "Roman_numerals_up_to_C.json" }, "Rounding and estimating": { "file": "Rounding_and_estimating.json" } } }, "Four Operations": { "folder_name": "Four_Operations", "subconcepts": { "Operations on large numbers": { "file": "Operations_on_large_numbers.json" }, "Order of operations (BODMAS)": { "file": "Order_of_operations_BODMAS.json" }, "Word problems": { "file": "Word_problems.json" }, "Mental math strategies": { "file": "Mental_math_strategies.json" } } }, "Factors and Multiples": { "folder_name": "Factors_and_Multiples", "subconcepts": { "Prime factorization": { "file": "Prime_factorization.json" }, "HCF by different methods": { "file": "HCF_by_different_methods.json" }, "LCM by different methods": { "file": "LCM_by_different_methods.json" }, "Co-prime numbers": { "file": "Co-prime_numbers.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Fractions": { "folder_name": "Fractions", "subconcepts": { "All operations on fractions": { "file": "All_operations_on_fractions.json" }, "Complex fractions": { "file": "Complex_fractions.json" }, "Comparison and ordering": { "file": "Comparison_and_ordering.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Decimals": { "folder_name": "Decimals", "subconcepts": { "All operations on decimals": { "file": "All_operations_on_decimals.json" }, "Decimal place value": { "file": "Decimal_place_value.json" }, "Converting decimals to fractions": { "file": "Converting_decimals_to_fractions.json" }, "Comparing and ordering decimals": { "file": "Comparing_and_ordering_decimals.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Percentage": { "folder_name": "Percentage", "subconcepts": { "Concept of percentage": { "file": "Concept_of_percentage.json" }, "Converting fractions to percentage": { "file": "Converting_fractions_to_percentage.json" }, "Converting decimals to percentage": { "file": "Converting_decimals_to_percentage.json" }, "Finding percentage of a number": { "file": "Finding_percentage_of_a_number.json" }, "Simple problems": { "file": "Simple_problems.json" } } }, "Ratio and Proportion": { "folder_name": "Ratio_and_Proportion", "subconcepts": { "Concept of ratio": { "file": "Concept_of_ratio.json" }, "Equivalent ratios": { "file": "Equivalent_ratios.json" }, "Proportion": { "file": "Proportion.json" }, "Unitary method": { "file": "Unitary_method.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Geometry": { "folder_name": "Geometry", "subconcepts": { "Angle properties": { "file": "Angle_properties.json" }, "Triangles (properties and construction)": { "file": "Triangles_properties_and_construction.json" }, "Quadrilaterals (properties)": { "file": "Quadrilaterals_properties.json" }, "Circles (chord, diameter, radius)": { "file": "Circles_chord,_diameter,_radius.json" }, "3D shapes (nets)": { "file": "3D_shapes_nets.json" } } }, "Mensuration": { "folder_name": "Mensuration", "subconcepts": { "Perimeter of polygons": { "file": "Perimeter_of_polygons.json" }, "Area of parallelogram": { "file": "Area_of_parallelogram.json" }, "Area of triangle": { "file": "Area_of_triangle.json" }, "Volume of cube and cuboid": { "file": "Volume_of_cube_and_cuboid.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Algebra (Introduction)": { "folder_name": "Algebra__Introduction", "subconcepts": { "Variables and constants": { "file": "Variables_and_constants.json" }, "Simple expressions": { "file": "Simple_expressions.json" }, "Simple equations": { "file": "Simple_equations.json" }, "Solving simple equations": { "file": "Solving_simple_equations.json" } } }, "Data Handling": { "folder_name": "Data_Handling", "subconcepts": { "Mean, median, mode": { "file": "Mean,_median,_mode.json" }, "Range": { "file": "Range.json" }, "Bar graphs and histograms": { "file": "Bar_graphs_and_histograms.json" }, "Line graphs": { "file": "Line_graphs.json" }, "Pie charts (reading)": { "file": "Pie_charts_reading.json" } } } }, "grade_6": { "Number System": { "folder_name": "Number_System", "subconcepts": { "Integers (positive and negative)": { "file": "Integers_positive_and_negative.json" }, "Rational numbers": { "file": "Rational_numbers.json" }, "Number line representation": { "file": "Number_line_representation.json" }, "Comparing and ordering": { "file": "Comparing_and_ordering.json" }, "Operations on integers": { "file": "Operations_on_integers.json" } } }, "Factors and Multiples": { "folder_name": "Factors_and_Multiples", "subconcepts": { "Divisibility rules": { "file": "Divisibility_rules.json" }, "Prime factorization": { "file": "Prime_factorization.json" }, "HCF and LCM": { "file": "HCF_and_LCM.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Fractions and Decimals": { "folder_name": "Fractions_and_Decimals", "subconcepts": { "Operations on fractions": { "file": "Operations_on_fractions.json" }, "Operations on decimals": { "file": "Operations_on_decimals.json" }, "Conversion between forms": { "file": "Conversion_between_forms.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Percentage": { "folder_name": "Percentage", "subconcepts": { "Percentage calculations": { "file": "Percentage_calculations.json" }, "Percentage increase/decrease": { "file": "Percentage_increasedecrease.json" }, "Profit and loss": { "file": "Profit_and_loss.json" }, "Simple interest": { "file": "Simple_interest.json" }, "Discount": { "file": "Discount.json" } } }, "Ratio and Proportion": { "folder_name": "Ratio_and_Proportion", "subconcepts": { "Simplifying ratios": { "file": "Simplifying_ratios.json" }, "Proportion problems": { "file": "Proportion_problems.json" }, "Unitary method": { "file": "Unitary_method.json" }, "Direct and inverse proportion": { "file": "Direct_and_inverse_proportion.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Algebra": { "folder_name": "Algebra", "subconcepts": { "Algebraic expressions": { "file": "Algebraic_expressions.json" }, "Terms and coefficients": { "file": "Terms_and_coefficients.json" }, "Like and unlike terms": { "file": "Like_and_unlike_terms.json" }, "Addition and subtraction of expressions": { "file": "Addition_and_subtraction_of_expressions.json" }, "Simple linear equations": { "file": "Simple_linear_equations.json" } } }, "Geometry": { "folder_name": "Geometry", "subconcepts": { "Basic geometrical concepts": { "file": "Basic_geometrical_concepts.json" }, "Angles and their types": { "file": "Angles_and_their_types.json" }, "Parallel lines and transversals": { "file": "Parallel_lines_and_transversals.json" }, "Triangles (properties and types)": { "file": "Triangles_properties_and_types.json" }, "Construction of triangles": { "file": "Construction_of_triangles.json" } } }, "Mensuration": { "folder_name": "Mensuration", "subconcepts": { "Perimeter and area of rectangles": { "file": "Perimeter_and_area_of_rectangles.json" }, "Area of parallelogram and triangle": { "file": "Area_of_parallelogram_and_triangle.json" }, "Area of circle": { "file": "Area_of_circle.json" }, "Surface area of cube and cuboid": { "file": "Surface_area_of_cube_and_cuboid.json" }, "Volume of cube and cuboid": { "file": "Volume_of_cube_and_cuboid.json" } } }, "Symmetry": { "folder_name": "Symmetry", "subconcepts": { "Line symmetry": { "file": "Line_symmetry.json" }, "Rotational symmetry": { "file": "Rotational_symmetry.json" }, "Reflection": { "file": "Reflection.json" } } }, "Data Handling": { "folder_name": "Data_Handling", "subconcepts": { "Collection and organization of data": { "file": "Collection_and_organization_of_data.json" }, "Mean, median, mode": { "file": "Mean,_median,_mode.json" }, "Bar graphs": { "file": "Bar_graphs.json" }, "Pie charts": { "file": "Pie_charts.json" }, "Probability (introduction)": { "file": "Probability_introduction.json" } } } }, "grade_7": { "Integers": { "folder_name": "Integers", "subconcepts": { "Properties of integers": { "file": "Properties_of_integers.json" }, "Operations on integers": { "file": "Operations_on_integers.json" }, "Multiplication and division": { "file": "Multiplication_and_division.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Rational Numbers": { "folder_name": "Rational_Numbers", "subconcepts": { "Standard form of rational numbers": { "file": "Standard_form_of_rational_numbers.json" }, "Comparison of rational numbers": { "file": "Comparison_of_rational_numbers.json" }, "Operations on rational numbers": { "file": "Operations_on_rational_numbers.json" }, "Properties of rational numbers": { "file": "Properties_of_rational_numbers.json" }, "Rational numbers on number line": { "file": "Rational_numbers_on_number_line.json" } } }, "Fractions and Decimals": { "folder_name": "Fractions_and_Decimals", "subconcepts": { "Multiplication of fractions": { "file": "Multiplication_of_fractions.json" }, "Division of fractions": { "file": "Division_of_fractions.json" }, "Multiplication of decimals": { "file": "Multiplication_of_decimals.json" }, "Division of decimals": { "file": "Division_of_decimals.json" } } }, "Exponents": { "folder_name": "Exponents", "subconcepts": { "Laws of exponents": { "file": "Laws_of_exponents.json" }, "Simplification using laws": { "file": "Simplification_using_laws.json" }, "Negative exponents": { "file": "Negative_exponents.json" }, "Zero exponent": { "file": "Zero_exponent.json" } } }, "Percentage and Applications": { "folder_name": "Percentage_and_Applications", "subconcepts": { "Profit, loss, discount": { "file": "Profit,_loss,_discount.json" }, "Simple interest": { "file": "Simple_interest.json" }, "Compound interest (introduction)": { "file": "Compound_interest_introduction.json" }, "Percentage applications": { "file": "Percentage_applications.json" } } }, "Ratio and Proportion": { "folder_name": "Ratio_and_Proportion", "subconcepts": { "Ratio and its applications": { "file": "Ratio_and_its_applications.json" }, "Proportion problems": { "file": "Proportion_problems.json" }, "Direct variation": { "file": "Direct_variation.json" }, "Inverse variation": { "file": "Inverse_variation.json" }, "Time and work problems": { "file": "Time_and_work_problems.json" } } }, "Algebra": { "folder_name": "Algebra", "subconcepts": { "Algebraic expressions": { "file": "Algebraic_expressions.json" }, "Addition and subtraction": { "file": "Addition_and_subtraction.json" }, "Multiplication of expressions": { "file": "Multiplication_of_expressions.json" }, "Linear equations in one variable": { "file": "Linear_equations_in_one_variable.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Geometry": { "folder_name": "Geometry", "subconcepts": { "Lines and angles": { "file": "Lines_and_angles.json" }, "Properties of parallel lines": { "file": "Properties_of_parallel_lines.json" }, "Triangle properties": { "file": "Triangle_properties.json" }, "Congruence of triangles": { "file": "Congruence_of_triangles.json" }, "Construction of triangles": { "file": "Construction_of_triangles.json" } } }, "Mensuration": { "folder_name": "Mensuration", "subconcepts": { "Perimeter and area": { "file": "Perimeter_and_area.json" }, "Area of trapezium": { "file": "Area_of_trapezium.json" }, "Area of general quadrilateral": { "file": "Area_of_general_quadrilateral.json" }, "Area of circle": { "file": "Area_of_circle.json" }, "Circumference of circle": { "file": "Circumference_of_circle.json" } } }, "Data Handling": { "folder_name": "Data_Handling", "subconcepts": { "Range and mean": { "file": "Range_and_mean.json" }, "Median and mode": { "file": "Median_and_mode.json" }, "Use of bar graphs": { "file": "Use_of_bar_graphs.json" }, "Chance and probability": { "file": "Chance_and_probability.json" } } } }, "grade_8": { "Rational Numbers": { "folder_name": "Rational_Numbers", "subconcepts": { "Properties and operations": { "file": "Properties_and_operations.json" }, "Representation on number line": { "file": "Representation_on_number_line.json" }, "Rational numbers between two numbers": { "file": "Rational_numbers_between_two_numbers.json" } } }, "Exponents": { "folder_name": "Exponents", "subconcepts": { "Laws of exponents": { "file": "Laws_of_exponents.json" }, "Expressing large numbers in standard form": { "file": "Expressing_large_numbers_in_standard_form.json" }, "Comparing very large and very small numbers": { "file": "Comparing_very_large_and_very_small_numbers.json" } } }, "Squares and Square Roots": { "folder_name": "Squares_and_Square_Roots", "subconcepts": { "Properties of square numbers": { "file": "Properties_of_square_numbers.json" }, "Finding square roots": { "file": "Finding_square_roots.json" }, "Square roots of decimals": { "file": "Square_roots_of_decimals.json" }, "Estimating square roots": { "file": "Estimating_square_roots.json" } } }, "Cubes and Cube Roots": { "folder_name": "Cubes_and_Cube_Roots", "subconcepts": { "Properties of cube numbers": { "file": "Properties_of_cube_numbers.json" }, "Finding cube roots": { "file": "Finding_cube_roots.json" }, "Cube roots by estimation": { "file": "Cube_roots_by_estimation.json" } } }, "Profit, Loss and Discount": { "folder_name": "Profit,_Loss_and_Discount", "subconcepts": { "Profit and loss percentage": { "file": "Profit_and_loss_percentage.json" }, "Discount and marked price": { "file": "Discount_and_marked_price.json" }, "Sales tax/GST": { "file": "Sales_taxGST.json" }, "Compound interest": { "file": "Compound_interest.json" } } }, "Direct and Inverse Variation": { "folder_name": "Direct_and_Inverse_Variation", "subconcepts": { "Direct proportion": { "file": "Direct_proportion.json" }, "Inverse proportion": { "file": "Inverse_proportion.json" }, "Time and work": { "file": "Time_and_work.json" }, "Time, distance and speed": { "file": "Time,_distance_and_speed.json" } } }, "Algebra": { "folder_name": "Algebra", "subconcepts": { "Algebraic identities": { "file": "Algebraic_identities.json" }, "Factorization": { "file": "Factorization.json" }, "Division of algebraic expressions": { "file": "Division_of_algebraic_expressions.json" }, "Linear equations in one variable": { "file": "Linear_equations_in_one_variable.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Understanding Quadrilaterals": { "folder_name": "Understanding_Quadrilaterals", "subconcepts": { "Properties of quadrilaterals": { "file": "Properties_of_quadrilaterals.json" }, "Angle sum property": { "file": "Angle_sum_property.json" }, "Types of quadrilaterals": { "file": "Types_of_quadrilaterals.json" }, "Construction of quadrilaterals": { "file": "Construction_of_quadrilaterals.json" } } }, "Mensuration": { "folder_name": "Mensuration", "subconcepts": { "Area of polygon": { "file": "Area_of_polygon.json" }, "Surface area of cube, cuboid": { "file": "Surface_area_of_cube,_cuboid.json" }, "Surface area of cylinder": { "file": "Surface_area_of_cylinder.json" }, "Volume of cube, cuboid, cylinder": { "file": "Volume_of_cube,_cuboid,_cylinder.json" } } }, "Data Handling": { "folder_name": "Data_Handling", "subconcepts": { "Grouped data": { "file": "Grouped_data.json" }, "Graphical representation of data": { "file": "Graphical_representation_of_data.json" }, "Circle graphs/pie charts": { "file": "Circle_graphspie_charts.json" }, "Probability": { "file": "Probability.json" } } }, "Introduction to Graphs": { "folder_name": "Introduction_to_Graphs", "subconcepts": { "Linear graphs": { "file": "Linear_graphs.json" }, "Coordinates": { "file": "Coordinates.json" }, "Plotting points": { "file": "Plotting_points.json" } } } }, "grade_9": { "Rational and Irrational Numbers": { "folder_name": "Rational_and_Irrational_Numbers", "subconcepts": { "Properties of rational numbers": { "file": "Properties_of_rational_numbers.json" }, "Irrational numbers": { "file": "Irrational_numbers.json" }, "Real numbers": { "file": "Real_numbers.json" }, "Representation on number line": { "file": "Representation_on_number_line.json" }, "Operations on real numbers": { "file": "Operations_on_real_numbers.json" } } }, "Compound Interest": { "folder_name": "Compound_Interest", "subconcepts": { "Compound interest formula": { "file": "Compound_interest_formula.json" }, "Growth and depreciation": { "file": "Growth_and_depreciation.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Expansions": { "folder_name": "Expansions", "subconcepts": { "Algebraic identities": { "file": "Algebraic_identities.json" }, "Expansion using identities": { "file": "Expansion_using_identities.json" }, "Factorization": { "file": "Factorization.json" } } }, "Factorization": { "folder_name": "Factorization", "subconcepts": { "Factorization of algebraic expressions": { "file": "Factorization_of_algebraic_expressions.json" }, "Factorization by grouping": { "file": "Factorization_by_grouping.json" }, "Factorization using identities": { "file": "Factorization_using_identities.json" } } }, "Simultaneous Linear Equations": { "folder_name": "Simultaneous_Linear_Equations", "subconcepts": { "Solving by substitution": { "file": "Solving_by_substitution.json" }, "Solving by elimination": { "file": "Solving_by_elimination.json" }, "Cross multiplication method": { "file": "Cross_multiplication_method.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Indices/Exponents": { "folder_name": "IndicesExponents", "subconcepts": { "Laws of exponents": { "file": "Laws_of_exponents.json" }, "Negative and fractional indices": { "file": "Negative_and_fractional_indices.json" }, "Standard form": { "file": "Standard_form.json" } } }, "Logarithms": { "folder_name": "Logarithms", "subconcepts": { "Definition and properties": { "file": "Definition_and_properties.json" }, "Laws of logarithms": { "file": "Laws_of_logarithms.json" }, "Common logarithms": { "file": "Common_logarithms.json" }, "Applications": { "file": "Applications.json" } } }, "Triangles": { "folder_name": "Triangles", "subconcepts": { "Congruence of triangles": { "file": "Congruence_of_triangles.json" }, "Inequalities in triangles": { "file": "Inequalities_in_triangles.json" }, "Pythagoras theorem": { "file": "Pythagoras_theorem.json" }, "Mid-point theorem": { "file": "Mid-point_theorem.json" } } }, "Rectilinear Figures": { "folder_name": "Rectilinear_Figures", "subconcepts": { "Parallelograms": { "file": "Parallelograms.json" }, "Properties of quadrilaterals": { "file": "Properties_of_quadrilaterals.json" }, "Theorems on parallelograms": { "file": "Theorems_on_parallelograms.json" }, "Construction of quadrilaterals": { "file": "Construction_of_quadrilaterals.json" } } }, "Area Theorems": { "folder_name": "Area_Theorems", "subconcepts": { "Area of triangle": { "file": "Area_of_triangle.json" }, "Theorems on areas": { "file": "Theorems_on_areas.json" }, "Proofs": { "file": "Proofs.json" } } }, "Mensuration": { "folder_name": "Mensuration", "subconcepts": { "Area and perimeter of plane figures": { "file": "Area_and_perimeter_of_plane_figures.json" }, "Surface area of cube, cuboid, cylinder": { "file": "Surface_area_of_cube,_cuboid,_cylinder.json" }, "Volume of cube, cuboid, cylinder": { "file": "Volume_of_cube,_cuboid,_cylinder.json" }, "Sphere (surface area and volume)": { "file": "Sphere_surface_area_and_volume.json" } } }, "Trigonometry": { "folder_name": "Trigonometry", "subconcepts": { "Ratios of standard angles": { "file": "Ratios_of_standard_angles.json" }, "Trigonometric identities": { "file": "Trigonometric_identities.json" }, "Heights and distances": { "file": "Heights_and_distances.json" }, "Simple problems": { "file": "Simple_problems.json" } } }, "Statistics": { "folder_name": "Statistics", "subconcepts": { "Collection and presentation of data": { "file": "Collection_and_presentation_of_data.json" }, "Mean, median, mode": { "file": "Mean,_median,_mode.json" }, "Graphical representation": { "file": "Graphical_representation.json" }, "Histograms and frequency polygons": { "file": "Histograms_and_frequency_polygons.json" } } }, "Coordinate Geometry": { "folder_name": "Coordinate_Geometry", "subconcepts": { "Cartesian system": { "file": "Cartesian_system.json" }, "Plotting points": { "file": "Plotting_points.json" }, "Distance formula": { "file": "Distance_formula.json" }, "Section formula": { "file": "Section_formula.json" } } } }, "grade_10": { "Commercial Mathematics": { "folder_name": "Commercial_Mathematics", "subconcepts": { "Goods and Service Tax (GST)": { "file": "Goods_and_Service_Tax_GST.json" }, "Banking (savings, recurring deposits)": { "file": "Banking_savings,_recurring_deposits.json" }, "Shares and dividends": { "file": "Shares_and_dividends.json" }, "Linear inequations": { "file": "Linear_inequations.json" } } }, "Algebra": { "folder_name": "Algebra", "subconcepts": { "Quadratic equations": { "file": "Quadratic_equations.json" }, "Solving by factorization": { "file": "Solving_by_factorization.json" }, "Solving by formula": { "file": "Solving_by_formula.json" }, "Word problems on quadratic equations": { "file": "Word_problems_on_quadratic_equations.json" }, "Ratio and proportion": { "file": "Ratio_and_proportion.json" } } }, "Remainder and Factor Theorems": { "folder_name": "Remainder_and_Factor_Theorems", "subconcepts": { "Remainder theorem": { "file": "Remainder_theorem.json" }, "Factor theorem": { "file": "Factor_theorem.json" }, "Factorization of polynomials": { "file": "Factorization_of_polynomials.json" } } }, "Matrices": { "folder_name": "Matrices", "subconcepts": { "Order of matrix": { "file": "Order_of_matrix.json" }, "Types of matrices": { "file": "Types_of_matrices.json" }, "Addition and subtraction": { "file": "Addition_and_subtraction.json" }, "Multiplication of matrices": { "file": "Multiplication_of_matrices.json" } } }, "Arithmetic Progression": { "folder_name": "Arithmetic_Progression", "subconcepts": { "nth term of AP": { "file": "nth_term_of_AP.json" }, "Sum of n terms": { "file": "Sum_of_n_terms.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Geometric Progression": { "folder_name": "Geometric_Progression", "subconcepts": { "GP definition": { "file": "GP_definition.json" }, "nth term of GP": { "file": "nth_term_of_GP.json" }, "Sum of n terms": { "file": "Sum_of_n_terms.json" }, "Infinite GP": { "file": "Infinite_GP.json" } } }, "Coordinate Geometry": { "folder_name": "Coordinate_Geometry", "subconcepts": { "Distance formula": { "file": "Distance_formula.json" }, "Section formula": { "file": "Section_formula.json" }, "Mid-point formula": { "file": "Mid-point_formula.json" }, "Equation of a line": { "file": "Equation_of_a_line.json" }, "Slope of line": { "file": "Slope_of_line.json" } } }, "Similarity": { "folder_name": "Similarity", "subconcepts": { "Similar triangles": { "file": "Similar_triangles.json" }, "Criteria for similarity": { "file": "Criteria_for_similarity.json" }, "Areas of similar triangles": { "file": "Areas_of_similar_triangles.json" }, "Pythagoras theorem applications": { "file": "Pythagoras_theorem_applications.json" } } }, "Loci": { "folder_name": "Loci", "subconcepts": { "Definition of locus": { "file": "Definition_of_locus.json" }, "Loci of moving points": { "file": "Loci_of_moving_points.json" }, "Constructions": { "file": "Constructions.json" } } }, "Circles": { "folder_name": "Circles", "subconcepts": { "Tangent to circle": { "file": "Tangent_to_circle.json" }, "Properties of tangents": { "file": "Properties_of_tangents.json" }, "Angle properties of circles": { "file": "Angle_properties_of_circles.json" }, "Cyclic properties": { "file": "Cyclic_properties.json" } } }, "Constructions": { "folder_name": "Constructions", "subconcepts": { "Construction of tangents": { "file": "Construction_of_tangents.json" }, "Construction of circumcircle and incircle": { "file": "Construction_of_circumcircle_and_incircle.json" }, "Construction of similar triangles": { "file": "Construction_of_similar_triangles.json" } } }, "Mensuration": { "folder_name": "Mensuration", "subconcepts": { "Surface area and volume of solids": { "file": "Surface_area_and_volume_of_solids.json" }, "Cylinder, cone, sphere": { "file": "Cylinder,_cone,_sphere.json" }, "Combination of solids": { "file": "Combination_of_solids.json" }, "Conversion of solid shapes": { "file": "Conversion_of_solid_shapes.json" } } }, "Trigonometry": { "folder_name": "Trigonometry", "subconcepts": { "Trigonometric identities and equations": { "file": "Trigonometric_identities_and_equations.json" }, "Heights and distances": { "file": "Heights_and_distances.json" }, "Angles of elevation and depression": { "file": "Angles_of_elevation_and_depression.json" }, "Word problems": { "file": "Word_problems.json" } } }, "Statistics": { "folder_name": "Statistics", "subconcepts": { "Mean, median, mode for grouped data": { "file": "Mean,_median,_mode_for_grouped_data.json" }, "Cumulative frequency": { "file": "Cumulative_frequency.json" }, "Ogive curves": { "file": "Ogive_curves.json" }, "Measures of central tendency": { "file": "Measures_of_central_tendency.json" } } }, "Probability": { "folder_name": "Probability", "subconcepts": { "Theoretical probability": { "file": "Theoretical_probability.json" }, "Experimental probability": { "file": "Experimental_probability.json" }, "Simple problems": { "file": "Simple_problems.json" }, "Cards, dice problems": { "file": "Cards,_dice_problems.json" } } } }, "grade_11": { "Sets": { "folder_name": "Sets", "subconcepts": { "Types of sets": { "file": "Types_of_sets.json" }, "Venn diagrams": { "file": "Venn_diagrams.json" }, "Operations on sets": { "file": "Operations_on_sets.json" }, "Laws of algebra of sets": { "file": "Laws_of_algebra_of_sets.json" }, "De Morgan's laws": { "file": "De_Morgan's_laws.json" } } }, "Relations and Functions": { "folder_name": "Relations_and_Functions", "subconcepts": { "Cartesian product": { "file": "Cartesian_product.json" }, "Relations": { "file": "Relations.json" }, "Types of relations": { "file": "Types_of_relations.json" }, "Functions": { "file": "Functions.json" }, "Types of functions": { "file": "Types_of_functions.json" } } }, "Logarithms": { "folder_name": "Logarithms", "subconcepts": { "Properties of logarithms": { "file": "Properties_of_logarithms.json" }, "Change of base": { "file": "Change_of_base.json" }, "Logarithmic equations": { "file": "Logarithmic_equations.json" }, "Applications": { "file": "Applications.json" } } }, "Complex Numbers": { "folder_name": "Complex_Numbers", "subconcepts": { "Definition and properties": { "file": "Definition_and_properties.json" }, "Algebra of complex numbers": { "file": "Algebra_of_complex_numbers.json" }, "Argand plane": { "file": "Argand_plane.json" }, "Modulus and argument": { "file": "Modulus_and_argument.json" }, "Polar form": { "file": "Polar_form.json" } } }, "Quadratic Equations": { "folder_name": "Quadratic_Equations", "subconcepts": { "Nature of roots": { "file": "Nature_of_roots.json" }, "Relation between roots and coefficients": { "file": "Relation_between_roots_and_coefficients.json" }, "Formation of equations": { "file": "Formation_of_equations.json" }, "Symmetric functions of roots": { "file": "Symmetric_functions_of_roots.json" } } }, "Sequences and Series": { "folder_name": "Sequences_and_Series", "subconcepts": { "Arithmetic progression": { "file": "Arithmetic_progression.json" }, "Geometric progression": { "file": "Geometric_progression.json" }, "Harmonic progression": { "file": "Harmonic_progression.json" }, "Sum of special series": { "file": "Sum_of_special_series.json" }, "Arithmetic and geometric means": { "file": "Arithmetic_and_geometric_means.json" } } }, "Permutations and Combinations": { "folder_name": "Permutations_and_Combinations", "subconcepts": { "Fundamental principle of counting": { "file": "Fundamental_principle_of_counting.json" }, "Permutations": { "file": "Permutations.json" }, "Combinations": { "file": "Combinations.json" }, "Applications": { "file": "Applications.json" } } }, "Binomial Theorem": { "folder_name": "Binomial_Theorem", "subconcepts": { "Binomial theorem for positive integral index": { "file": "Binomial_theorem_for_positive_integral_index.json" }, "General term": { "file": "General_term.json" }, "Middle term": { "file": "Middle_term.json" }, "Applications": { "file": "Applications.json" } } }, "Coordinate Geometry": { "folder_name": "Coordinate_Geometry", "subconcepts": { "Distance formula": { "file": "Distance_formula.json" }, "Section formula": { "file": "Section_formula.json" }, "Straight lines": { "file": "Straight_lines.json" }, "Equation of line in various forms": { "file": "Equation_of_line_in_various_forms.json" }, "Angle between two lines": { "file": "Angle_between_two_lines.json" } } }, "Trigonometry": { "folder_name": "Trigonometry", "subconcepts": { "Trigonometric functions": { "file": "Trigonometric_functions.json" }, "Trigonometric identities": { "file": "Trigonometric_identities.json" }, "Compound angles": { "file": "Compound_angles.json" }, "Multiple and sub-multiple angles": { "file": "Multiple_and_sub-multiple_angles.json" }, "Transformation formulas": { "file": "Transformation_formulas.json" } } }, "Trigonometric Equations": { "folder_name": "Trigonometric_Equations", "subconcepts": { "General solutions": { "file": "General_solutions.json" }, "Principal solutions": { "file": "Principal_solutions.json" }, "Equations involving trigonometric functions": { "file": "Equations_involving_trigonometric_functions.json" } } }, "Limits": { "folder_name": "Limits", "subconcepts": { "Concept of limit": { "file": "Concept_of_limit.json" }, "Evaluation of limits": { "file": "Evaluation_of_limits.json" }, "Limits of trigonometric functions": { "file": "Limits_of_trigonometric_functions.json" }, "Limits at infinity": { "file": "Limits_at_infinity.json" } } }, "Differentiation": { "folder_name": "Differentiation", "subconcepts": { "Derivative as rate of change": { "file": "Derivative_as_rate_of_change.json" }, "Derivative by first principle": { "file": "Derivative_by_first_principle.json" }, "Rules of differentiation": { "file": "Rules_of_differentiation.json" }, "Derivative of composite functions": { "file": "Derivative_of_composite_functions.json" }, "Logarithmic differentiation": { "file": "Logarithmic_differentiation.json" } } }, "Statistics": { "folder_name": "Statistics", "subconcepts": { "Measures of dispersion": { "file": "Measures_of_dispersion.json" }, "Range, variance, standard deviation": { "file": "Range,_variance,_standard_deviation.json" }, "Coefficient of variation": { "file": "Coefficient_of_variation.json" }, "Analysis of frequency distributions": { "file": "Analysis_of_frequency_distributions.json" } } }, "Probability": { "folder_name": "Probability", "subconcepts": { "Random experiments": { "file": "Random_experiments.json" }, "Sample space": { "file": "Sample_space.json" }, "Events": { "file": "Events.json" }, "Probability of an event": { "file": "Probability_of_an_event.json" }, "Addition and multiplication theorems": { "file": "Addition_and_multiplication_theorems.json" } } }, "3D Geometry (Basic)": { "folder_name": "3D_Geometry__Basic", "subconcepts": { "Coordinates in space": { "file": "Coordinates_in_space.json" }, "Distance formula": { "file": "Distance_formula.json" }, "Section formula": { "file": "Section_formula.json" } } } }, "grade_12": { "Relations and Functions": { "folder_name": "Relations_and_Functions", "subconcepts": { "Types of functions": { "file": "Types_of_functions.json" }, "Composite functions": { "file": "Composite_functions.json" }, "Inverse of a function": { "file": "Inverse_of_a_function.json" }, "Binary operations": { "file": "Binary_operations.json" } } }, "Algebra": { "folder_name": "Algebra", "subconcepts": { "Matrices": { "file": "Matrices.json" }, "Determinants": { "file": "Determinants.json" }, "Properties of determinants": { "file": "Properties_of_determinants.json" }, "Applications of matrices": { "file": "Applications_of_matrices.json" }, "Solving system of linear equations": { "file": "Solving_system_of_linear_equations.json" } } }, "Calculus - Differentiation": { "folder_name": "Calculus_-_Differentiation", "subconcepts": { "Continuity and differentiability": { "file": "Continuity_and_differentiability.json" }, "Chain rule": { "file": "Chain_rule.json" }, "Derivative of inverse trigonometric functions": { "file": "Derivative_of_inverse_trigonometric_functions.json" }, "Logarithmic differentiation": { "file": "Logarithmic_differentiation.json" }, "Parametric differentiation": { "file": "Parametric_differentiation.json" }, "Second order derivatives": { "file": "Second_order_derivatives.json" } } }, "Applications of Derivatives": { "folder_name": "Applications_of_Derivatives", "subconcepts": { "Rate of change": { "file": "Rate_of_change.json" }, "Increasing and decreasing functions": { "file": "Increasing_and_decreasing_functions.json" }, "Tangents and normals": { "file": "Tangents_and_normals.json" }, "Maxima and minima": { "file": "Maxima_and_minima.json" }, "Approximations": { "file": "Approximations.json" } } }, "Integration": { "folder_name": "Integration", "subconcepts": { "Indefinite integrals": { "file": "Indefinite_integrals.json" }, "Methods of integration": { "file": "Methods_of_integration.json" }, "Integration by substitution": { "file": "Integration_by_substitution.json" }, "Integration by parts": { "file": "Integration_by_parts.json" }, "Integration by partial fractions": { "file": "Integration_by_partial_fractions.json" }, "Definite integrals": { "file": "Definite_integrals.json" } } }, "Applications of Integrals": { "folder_name": "Applications_of_Integrals", "subconcepts": { "Area under curves": { "file": "Area_under_curves.json" }, "Area between curves": { "file": "Area_between_curves.json" }, "Volume of solids of revolution": { "file": "Volume_of_solids_of_revolution.json" } } }, "Differential Equations": { "folder_name": "Differential_Equations", "subconcepts": { "Order and degree": { "file": "Order_and_degree.json" }, "Formation of differential equations": { "file": "Formation_of_differential_equations.json" }, "Solution of first order differential equations": { "file": "Solution_of_first_order_differential_equations.json" }, "Variables separable method": { "file": "Variables_separable_method.json" }, "Homogeneous equations": { "file": "Homogeneous_equations.json" } } }, "Vectors": { "folder_name": "Vectors", "subconcepts": { "Vectors and scalars": { "file": "Vectors_and_scalars.json" }, "Types of vectors": { "file": "Types_of_vectors.json" }, "Addition of vectors": { "file": "Addition_of_vectors.json" }, "Scalar and vector products": { "file": "Scalar_and_vector_products.json" }, "Scalar triple product": { "file": "Scalar_triple_product.json" } } }, "3D Geometry": { "folder_name": "3D_Geometry", "subconcepts": { "Direction cosines and ratios": { "file": "Direction_cosines_and_ratios.json" }, "Equation of line in space": { "file": "Equation_of_line_in_space.json" }, "Equation of plane": { "file": "Equation_of_plane.json" }, "Angle between line and plane": { "file": "Angle_between_line_and_plane.json" }, "Distance of point from plane": { "file": "Distance_of_point_from_plane.json" } } }, "Linear Programming": { "folder_name": "Linear_Programming", "subconcepts": { "Mathematical formulation": { "file": "Mathematical_formulation.json" }, "Graphical method": { "file": "Graphical_method.json" }, "Feasible and infeasible regions": { "file": "Feasible_and_infeasible_regions.json" }, "Optimal solutions": { "file": "Optimal_solutions.json" } } }, "Probability": { "folder_name": "Probability", "subconcepts": { "Conditional probability": { "file": "Conditional_probability.json" }, "Multiplication theorem": { "file": "Multiplication_theorem.json" }, "Independent events": { "file": "Independent_events.json" }, "Bayes' theorem": { "file": "Bayes'_theorem.json" }, "Random variables": { "file": "Random_variables.json" }, "Probability distributions": { "file": "Probability_distributions.json" }, "Binomial distribution": { "file": "Binomial_distribution.json" } } }, "Correlation and Regression": { "folder_name": "Correlation_and_Regression", "subconcepts": { "Scatter diagram": { "file": "Scatter_diagram.json" }, "Karl Pearson's coefficient of correlation": { "file": "Karl_Pearson's_coefficient_of_correlation.json" }, "Rank correlation": { "file": "Rank_correlation.json" }, "Lines of regression": { "file": "Lines_of_regression.json" }, "Properties of regression coefficients": { "file": "Properties_of_regression_coefficients.json" } } }, "Complex Numbers": { "folder_name": "Complex_Numbers", "subconcepts": { "De Moivre's theorem": { "file": "De_Moivre's_theorem.json" }, "Cube roots of unity": { "file": "Cube_roots_of_unity.json" }, "nth roots of unity": { "file": "nth_roots_of_unity.json" }, "Exponential form": { "file": "Exponential_form.json" } } }, "Trigonometry (Advanced)": { "folder_name": "Trigonometry__Advanced", "subconcepts": { "Inverse trigonometric functions": { "file": "Inverse_trigonometric_functions.json" }, "Properties of inverse functions": { "file": "Properties_of_inverse_functions.json" }, "Solutions of triangles": { "file": "Solutions_of_triangles.json" } } }, "Application of Calculus": { "folder_name": "Application_of_Calculus", "subconcepts": { "Continuity in interval": { "file": "Continuity_in_interval.json" }, "Mean value theorems": { "file": "Mean_value_theorems.json" }, "Rolle's theorem": { "file": "Rolle's_theorem.json" }, "Lagrange's mean value theorem": { "file": "Lagrange's_mean_value_theorem.json" } } } } } }