Curriculum
The following curriculum is used in both group and one-to-one sessions. These curriculum-based sessions prepare students for their upcoming school classes.
To register for a group and one-to-one sessions, please click here
SAT Math
Contents Specifications of SAT Math
Part 3: Non-calculator portion (20 questions) – 25 minutes
Multiple Choice – 15 questions, Student-Produced Response - 5 questions
Part 4: Calculator portion (38 questions) – 55 minutes
Multiple Choice – 30 questions, Student-Produced Response - 8 questions
Heart of Algebra
19 questions – 33%
Solving linear equations and linear inequalities
Interpreting linear functions
Linear inequality and equation word problems
Graphing linear equations
Linear function word problems
Systems of linear inequalities word problems
Solving systems of linear equations
Passport to Advanced Math
17 questions – 29%
Solving quadratic equations
Interpreting nonlinear expressions
Quadratic and exponential word problems
Radicals and rational exponents
Operations with rational expressions and polynomials
Polynomial factors and graphs
Nonlinear equation graphs
Linear and quadratic systems
Structure in expressions
Isolating quantities
Functions
Problem Solving and Data Analysis
16 questions – 28%
Ratios, rates, and proportions
Percentages
Units
Table data
Scatterplots
Key features of graphs
Linear and exponential growth
Data inferences
Center, spread, and shape of distributions
Data collection and conclusions
Additional Topics in Math
6 questions – 10%
Volume word problems
Right triangle word problems
Congruence and similarity
Right triangle geometry
Angles, arc lengths, and trig functions
Circle theorems
Circle equations
Complex numbers
ACT Math
Preparing for Higher Math (57–60%)
This category captures the more recent mathematics that students are learning, starting when students begin using algebra as a general way of expressing and solving equations. This category is divided into the following five subcategories.
Number & Quantity (7–10%)
Demonstrate knowledge of real and complex number systems. Students will understand and reason with numerical quantities in many forms, including integer and rational exponents, and vectors and matrices.
Algebra (12–15%)
Solve, graph, and model multiple types of expressions. Students will employ many different kinds of equations, including but not limited to linear, polynomial, radical, and exponential relationships. The student will find solutions to systems of equations, even when represented by simple matrices, and apply their knowledge to applications.
Functions (12–15%)
The questions in this category test knowledge of function definition, notation, representation, and application. Questions may include but are not limited to linear, radical, piecewise, polynomial, and logarithmic functions. Students will manipulate and translate functions, as well as find and apply important features of graphs.
Geometry (12–15%)
Define and apply knowledge of shapes and solids, such as congruence and similarity relationships or surface area and volume measurements. Understand composition of objects, and solve for missing values in triangles, circles, and other figures, including using trigonometric ratios and equations of conic sections.
Statistics & Probability (8–12%)
Describe center and spread of distributions, apply and analyze data collection methods, understand and model relationships in bivariate data, and calculate probabilities, including the related sample spaces.
Integrating Essential Skills (40–43%)
These questions address concepts typically learned before 8th grade, such as rates and percentages; proportional relationships; area, surface area, and volume; average and median; and expressing numbers in different ways. Students will solve problems of increasing complexity, combine skills in longer chains of steps, apply skills in more varied contexts, understand more connections, and become more fluent.
Modeling (>25%)
This category represents all questions that involve producing, interpreting, understanding, evaluating, and improving models. Each question is also counted in other appropriate reporting categories above. This category is an overall measure of how well students use modeling skills across mathematical topics.
AP Calculus AB and BC
Trig Functions, Logarithms, and Exponentials
Sets and Functions
Limits and Continuity
Definition of the Derivative and Fundamental Properties
Chain Rule and Implicit Differentiation
Interpretation of the Derivative
Optimization
More Derivative Applications
Related Rates
The Fundamental Theorem of Calculus
Integration
Applications of the Integral
Improper Integrals
Infinite Sequences and Series
Taylor Series
Parametric Curves
Polar Coordinates
Differential Equations
PRe-calculus
Basic Trigonometry
Graphing Trigonometric and Inverse Trigonometric Functions
Trigonometric Identities
Law of Cosines and Law of Sines
More Geometry with Trigonometry
Parametric Equations
Polar, Cylindrical, and Spherical Coordinates
Introduction to Complex Numbers and the Complex Plane
Trigonometry and Complex Numbers
Roots of Unity
Geometry Using Complex Numbers
Vectors in Two Dimensions
Vectors and Matrices in Two Dimensions
Matrices in Two Dimensions
Matrices in Three Dimensions
Lines and Planes in Three Dimensions
Dot Product, Cross Product and Determinant
Advanced Algebra
Asymptotes
Binomial Theorem
Complex Fractions
Complex Numbers
Composition of Functions
Conics: Overview
Parabolas
Circles
Ellipses
Hyperbolas
Cramer's Rule
Determinants
Exponentials
Graphing Exponential Equations
Graphing Logarithmic Equations
Graphing Rational Equations
Inequalities: Polynomial
Inequalities: Rational Expressions
Inverse Functions
Logarithms
Log Rules
Matrix Definitions
Matrix Addition and Subtraction
Matrix Multiplication
Matrix Row Operations
Matrix Inversion
Minors and Cofactors
Next Number in a Sequence
Partial-Fraction Decomposition
Rational Expressions: Simplifying
Rational Expressions: Adding
Rational Expressions: Multiplying
Solving Exponential Equations
Solving Logarithmic Equations
Solving Rational Equations
Intermediate Algebra
Functions
Complex Numbers
Quadratic Equations and Graphing
Circles
Polynomial Divisions
Integer and Rational Roots
Polynomials
Arithmetic and Geometric Sequence
Exponents and Logarithms
Rational and Partial Functions
Inequalities
Functional Equations
Introduction to Geometry
Angles
Triangles
Quadrilaterals
Polygons
Geometric Inequalities
Circles
Tangents
Transformations
Trigonometry
Analytical Geometry
Introduction to Algebra
Fractional Exponents and Radicals
Variable and Expressions
Linear Equations
Ratio, Percent and Proportion
Graphing lines and inequality
Factorizations
Complex Numbers
Completing Squares and Quadratic Equations
Graphing Quadratics
Functions and Inverse
Graphing Functions
Polynomials
Exponential Functions
Sequence and Series
Pre-Algebra
Arithmetic Properties
Exponents
Number Theory
Fractions
Equations and Inequality
Decimals
Ratios, Conversions and Rates
Percentage
Squares and Square Roots
Angles
Perimeter and Area
Triangles
Data and Statistics