SAT Mathematics Syllabus

  • The program is primarily structured around 5 key topics.  

    1. Algebra

    2. Advanced Math

    3. Problem solving and Data analysis

    4. Geometry and Trigonometry

     

    List of sub-topics under each main topic are as follows

    1.Algebra

    • Solving linear equations
    • Interpreting linear functions
    • Linear in-equalities
    • Graphing linear equations
    • Linear function word problems
    • Systems of linear inequalities word problems
    • Solving systems of linear equations
    • Structure in expressions
    • Isolating quantities

    2.Advanced Math

    • Exponential Radicals and rational exponents, word problems
    • Operations with rational expressions and polynomials
    • Polynomial factors and graphs
    • Nonlinear equation graphs
    • Solving quadratic equations, graphs
    • Interpreting nonlinear expressions
    • Quadratic word problems
    • Linear and quadratic systems
    • Key features of graphs

     

    3.Problem Solving and Data Analysis

    • Rates
    • Ratios and Proportions
    • Direct and Inverse proportions
    • Percentages
    • Units
    • Probability
    • Center, spread, and shape of distributions
    • Data collection and conclusions
    • Table data
    • Sampling data
    • Scatter plots
    • Data inferences
    • Inference from sample statistics and margin of error
    • Evaluating statistical claims: observational studies and experiments

     

    Geometry and Trigonometry

    • Congruence of triangles
    • Similarity of triangles, Mean proportionality in Similar triangles and Quadrilaterals
    • Right triangle
    • Right Triangle word problems
    • Circle
    • Circle Equations
    • Circle theorems 
    • Angles
    • Arc lengths and area of sectors
    • Trigonometric functions
    • Complementary relation in trigonometry