Week 1: The Foundations of Arithmetic

Students are introduced to the concept of treating math as the language of quantity, and are taught some tactics to break down, recombine, and/or rearrange numbers to make mental math more quick and accurate.

Week 2: The Foundations of Algebra

Students expand the lesson from Week 1 into the world of variables and unknown quantities. They start to see mathematical expression and equations as relationships between ‘parts’ and ‘wholes,’ and are taught the fundamental rule of equations.

Week 3: The Foundations of Proportion

This lesson will ground the mechanics of fractional and percentage math, and sharpen the sense of fractions, percents, and ratios as different expressions of proportional relationships.

Week 4: Graphs 1 - Linear Equations

Bringing together the lessons of weeks 1-3, we now move into linear relationships and how they are visualized in a coordinate plane. The concept of slope is taken out of a rote formula and made intuitive.

Week 5: Exponents, Roots, and Quadratics

Literally ‘powering up,’ we now expand our language of mathematics, numbers, and variables to include powers and roots, which leads to quadratic equations.

Week 6: Statistics 1 - Sets of Quantities

Week 6 teaches students to intuitively handle metrics for sets of numbers, such as average, median, range, and mode, and to see how such values might be represented in visual models.

Week 7: Graphs 2 - Quadratics and Exponential Functions

Returning to the coordinate plane, students will revisit quadratics and exponents to see how these equations are represented graphically.

Week 8: Geometry I - Lines, Angles, and Parallelograms

We now dig into the foundational building blocks of ‘shapes,’ and lay out the logical flow of the ‘parallelogram family.’

Week 9: Functions and Sequences

An often poorly understood mathematical concept, functions are presented as machines that turn inputs into output, ‘independent’ variables into ‘dependent’ variables. We will also look at the cousin of the function, the ‘sequence,’ a list of numbers generated by the rules of a function.

Week 10: Geometry II - Triangles and Trigonometry

Triangles are the most fundamental polygon, and in this class we will lay out their key properties and the trigonometric proportions that arise from them.

Week 11: Advanced Algebra - Absolute Value, Inequalities, and Non-Linear Functions

We use this class to connect trickier algebraic concepts to all that has come before, to both use and deepen our sense of mathematics as a language of quantity.

Week 12: Word Problems and Mathematic Modeling

Though word problems and mathematic modeling will have been a common occurrence in the course heretofore, we’ll spend this full class to deep dive into the skills needed to represent a story in quantitative relationships.

Week 13: Geometry III - Circles and 3D Geometry

‘Rounding out’ the 2D Geometry, the core principles of circles are expounded on in week 13, and we then push into the third dimension and bring ‘volume’ into the equation.

Week 14: Statistics II - Data Representation and Probability

In our final week of new content lessons, we return to statistics to talk about the different graphs and tables that might be used to represent data, and discuss the fundamentals of ‘probability.’

Week 15 and 16: Practice, Review, and Individualized Guidance

In the last two weeks, we’ll have time to revisit ‘sticking points’ and do some practice to remind ourselves of the key ideas from the course and prepare to apply them on the SAT.