Mathematics
Welcome to our comprehensive mathematics course, designed to cater to learners of all levels. From beginner to expert, explore topics such as geometry, algebra, calculus and more — empowering you to excel in both academics and standardized tests like the SAT & ACT.
One subject, four levels, a clear path through
Every learner starts where they are. Move from Beginners through to Expert at your own pace, with a tutor who builds each session around where you actually are, not just your age or grade.
Geometry I
Introduction to basic shapes such as triangles, squares, and circles. Understanding the properties of different types of angles, lines, and polygons.
Algebra
Learning about variables and constants and how to use them in equations. Solving simple linear equations and inequalities using addition, subtraction, multiplication, and division.
Number & Operations
Understanding the number system and the properties of different types of numbers. Learning basic operations such as addition, subtraction, multiplication, and division with whole numbers and fractions.
Geometry II
Exploring concepts of congruence and similarity between geometric figures. Solving problems related to perimeter, area, and volume of various shapes and solids.
Expressions and Equations I
Simplifying algebraic expressions by combining like terms and applying the order of operations. Solving multi-step equations and inequalities involving variables.
The Number System
Understanding rational numbers and their operations, including addition, subtraction, multiplication, and division. Converting between fractions, decimals, and percentages.
Measures and Accuracy
Learning different units of measurement and converting between them. Understanding significant figures and how to round numbers appropriately based on accuracy requirements.
Statistics and Probability
Collecting, organizing, and interpreting data using tables, charts, and graphs. Calculating measures of central tendency (mean, median, mode) and understanding basic probability concepts.
Ratios and Proportional Relationships
Understanding ratios, rates, and proportions and solving problems involving them. Applying proportional reasoning to solve real-world problems, including scale drawings and similar figures.
Graphs
Analyzing and interpreting graphs, including line graphs, bar graphs, and scatter plots. Understanding slope and its applications in various contexts.
Geometry III
Exploring advanced concepts of triangles, quadrilaterals, and circles. Applying trigonometric ratios (sine, cosine, tangent) to solve problems involving right triangles.
Expressions and Equations II
Solving quadratic equations and understanding the properties of quadratic functions. Manipulating and simplifying algebraic expressions involving exponents, radicals, and logarithms.
Functions I
Understanding the concept of a function and its representations (tables, graphs, equations). Analyzing and graphing linear, quadratic, and exponential functions.
Congruence
Applying transformations (translations, rotations, reflections) to geometric figures. Proving congruence and similarity of triangles and other polygons using geometric theorems and postulates.
Trigonometry
Exploring the unit circle, trigonometric functions, and their properties. Solving trigonometric equations and applying trigonometry in real-world situations.
Real and Complex Number System
Extending the number system to include irrational and complex numbers. Understanding the properties of complex numbers and their operations.
Geometry IV
Advanced topics in Euclidean geometry, including proofs and advanced theorems. Applying geometric concepts to solve complex problems involving symmetry, tessellations, and constructions.
Equations and Inequalities
Solving systems of linear equations and inequalities using various methods (substitution, elimination, graphing). Exploring higher-degree equations and inequalities, including polynomial and rational functions.
Arithmetic, Polynomial and Rational Expressions
Simplifying and performing operations with algebraic expressions involving rational and irrational numbers. Understanding polynomial functions and their properties, including factoring and long division.
Functions II
Exploring advanced concepts such as logarithmic, trigonometric, and exponential functions. Analyzing and graphing higher-order polynomial functions and rational functions.
Probability
Understanding advanced probability concepts, including conditional probability and counting principles. Solving problems involving permutations, combinations, and probability distributions.
Vector and Matrix Quantities
Introducing vectors and their properties, including addition, subtraction, and scalar multiplication. Exploring matrix operations, including addition, subtraction, multiplication, and determinants.
Calculus
Introducing the fundamental concepts of calculus, such as limits, derivatives, and integrals. Applying calculus techniques to solve problems involving rates of change, optimization, and area under curves.
Statistics
Advanced statistical concepts, including sampling distributions, confidence intervals, and hypothesis testing. Analyzing and interpreting data using advanced statistical techniques, such as regression analysis and chi-square tests.
SAT & ACT Preparation
Reviewing key mathematical concepts tested on the SAT and ACT exams. Practicing and applying problem-solving strategies specific to these standardized tests.
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