Primary

Number Sense and Operations

• Counting and Place Value
• Addition, Subtraction, Multiplication, and Division
• Fractions, Decimals, and Percentages
• Rounding and Estimation
• Odd and Even Numbers
• Factors and Multiples

Algebraic Thinking

• Patterns and Sequences
• Simple Algebraic Expressions
• Solving Basic Equations
• Introduction to Variables

Geometry

• Shapes and Their Properties (2D and 3D)
• Perimeter, Area, and Volume
• Symmetry
• Angles (acute, obtuse, right)
• Coordinate Geometry (graphing points on a grid)
• Line and Shape Construction

Measurement

• Units of Measurement (length, mass, volume, time)
• Converting Units
• Measuring Tools (rulers, scales, clocks)
• Time (Reading clocks, calendars, elapsed time)

Data and Probability

• Collecting Data (surveys, experiments)
• Graphs and Charts (bar graphs, line graphs, pictograms)
• Averages (mean, median, mode)
• Probability (simple probability concepts)

Problem Solving

• Word Problems
• Logical Reasoning
• Strategy-based Problems (e.g., making tables, drawing diagrams)
• Estimation and Approximation

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Middle

Grade-6

• Ratios and Proportions
• Integers and Rational Numbers
• Fractions, Decimals, and Percents
• Expressions and Equations
• Geometry (Area, Perimeter, Volume)
• Statistics and Probability
• Coordinate Geometry

Grade-7

• Proportional Relationships
• Operations with Rational Numbers
• Algebra (Solving Equations)
• Percents (Increase/Decrease)
• Geometry (Angles, Triangles, Quadrilaterals)
• Statistics (Histograms, Box Plots)
• Probability (Simple and Compound Events)

Grade-8

• Linear Equations
• Systems of Equations
• Exponents and Powers
• Radicals (Square Roots)
• Functions
• Pythagorean Theorem
• Geometry (Transformations, Volume, Surface Area)
• Statistics (Bivariate Data, Scatter Plots)
• Advanced Probability

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Higher

Grade-9

• Linear Equations and Inequalities
• Quadratic Equations
• Polynomials and Factoring
• Rational Expressions and Equations
• Functions (Linear, Quadratic)
• Systems of Equations and Inequalities
• Exponents and Radicals
• Geometry (Coordinate, Proofs, Congruence, Similarity)
• Pythagorean Theorem and Trigonometry Basics
• Probability and Statistics (Basic)

Grade-10

• Quadratic Functions
• Advanced Polynomials
• Rational Functions
• Exponential Functions
• Logarithmic Functions
• Trigonometry (Right Triangle Trigonometry)
• Geometry (Circles, Volume, Surface Area)
• Probability and Statistics (Advanced)
• Systems of Non-Linear Equations
• Sequences and Series

Grade-11

• Functions (Composition, Inverses)
• Advanced Trigonometry (Unit Circle, Identities)
• Matrices and Determinants
• Complex Numbers
• Conic Sections (Parabolas, Ellipses, Hyperbolas)
• Vectors
• Probability (Bayes’ Theorem, Permutations, Combinations)
• Sequences and Series (Arithmetic, Geometric)
• Limits and Introduction to Calculus

Grade-12

• Calculus (Derivatives, Integrals)
• Advanced Functions (Exponential, Logarithmic)
• Series and Sequences (Convergence and Divergence)
• Probability and Statistics (Advanced)
• Vectors and Vector Calculus
• Matrices and Applications
• Complex Numbers and Polar Coordinates
• Differential Equations (Introduction)
• Discrete Mathematics (Graph Theory, Combinatorics)
• Trigonometry (Advanced, Laws of Sines and Cosines)

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