9 core topics
+ 48 prerequisite topics taught
as needed · approximately 14 hours of instruction
including spaced review
· premium unlock $34.99
How the course runs
An adaptive diagnostic (up to
40 questions) places the student on the course's knowledge
graph — topics already known are credited, and instruction begins exactly
at the learning frontier. Every topic is taught with a worked-example
lesson and auto-graded practice; a topic is mastered at
75%+ and then maintained through spaced reviews on an
expanding schedule. A cumulative quiz follows every 6
lessons. Prerequisite gaps below the course are detected and taught rather
than skipped, so completion certifies the whole tower, not just the top.
Core curriculum
SAT & ACT Test Prep
· 9 topics
Linear Equations on the Test[M]
Fee-plus-rate problems: read off slope and intercept.
Ratios, Rates & Percents on the Test[M]
Scale a ratio; apply a percent; divide for a unit rate.
Systems on the Test[M]
Two totals, two unknowns — count and value.
Quadratics & Functions on the Test[M]
Factor fast; evaluate compositions inside-out.
Exponential Models on the Test[M]
Repeated multiplication: y = a·bᵗ.
Geometry on the Test[M]
Pythagorean triples and area–perimeter conversions.
Trigonometry on the Test[M]
SOH-CAH-TOA plus the complementary-angle identity.
Data Analysis & Tables[M]
Weighted averages and table percentages.
Statistics on the Test[M]
Means shift predictably; medians come from expanded frequency tables.
Prerequisite material
— taught
automatically when the diagnostic finds gaps
Arithmetic Foundations· 8 topics
Adding & Subtracting Whole Numbers
Multi-digit addition and subtraction.
Multiplication
Multiplying whole numbers.
Division
Dividing whole numbers.
Order of Operations
Parentheses first, then multiplication/division, then addition/subtraction.
Negative Numbers: Adding & Subtracting
Working with numbers below zero on the number line.
Negative Numbers: Multiplying & Dividing
Sign rules for products and quotients.
Exponents
Repeated multiplication in shorthand.
Square Roots
Undoing a square.
Fractions· 4 topics
Equivalent Fractions
Different fractions can name the same amount.
Simplifying Fractions
Reducing a fraction to lowest terms.
Multiplying Fractions
Multiply straight across.
Dividing Fractions
Multiply by the reciprocal.
Decimals, Percents & Ratios· 5 topics
Decimal Addition & Subtraction
Line up the decimal points.
Fractions ↔ Decimals
Converting between the two notations.
Percent of a Number
Percent means per hundred.
Percent Increase & Decrease
Applying a percent change to a quantity.
Ratios & Proportions
Two quantities that scale together.
Expressions & Equations· 6 topics
Evaluating Expressions
Substituting a value for a variable.
Combining Like Terms
Adding the coefficients of matching variable parts.
The Distributive Property
Multiplying across a sum.
One-Step Equations
Undoing a single operation.
Two-Step Equations
Undo addition/subtraction first, then multiplication.
Multi-Step Equations
Equations needing distribution or variables on both sides.
Linear Functions· 4 topics
The Coordinate Plane
Locating points with (x, y) pairs.
Slope of a Line
Rise over run between two points.
Slope-Intercept Form
y = mx + b describes a whole line.
Systems of Equations (Substitution)
Two equations, two unknowns.
Quadratics & Polynomials· 8 topics
Adding & Subtracting Polynomials
Combining polynomials by collecting like terms.
Multiplying Binomials (FOIL)
Expanding products of binomials.
Factoring Out the GCF
Undoing the distributive property.
Factoring Trinomials
Reversing FOIL: finding two numbers that multiply to c and add to b.
Special Factoring Patterns
Difference of squares and perfect-square trinomials.
Solving x² = k
Taking square roots of both sides — remembering ±.
Completing the Square
Turning any quadratic into a perfect square plus a constant.
The Quadratic Formula
x = (−b ± √(b² − 4ac)) / 2a solves any quadratic.
Radicals & Exponentials· 4 topics
Product Rule for Exponents
Multiplying powers of the same base adds the exponents.
Quotient & Power Rules
Dividing powers subtracts exponents; a power of a power multiplies them.
Zero & Negative Exponents
Anything (nonzero) to the 0 power is 1; a negative exponent flips to a reciprocal.
Exponential Growth & Decay
Quantities that multiply by the same factor each time step: y = a·bᵗ.
Geometry· 6 topics
Angle Relationships
Vertical, complementary, and supplementary angle pairs.
Triangle Angle Sum
The three angles of a triangle always add to 180°.
The Pythagorean Theorem
In a right triangle, a² + b² = c².
Similar Triangles
Same shape, different size: corresponding sides are proportional.
Perimeter & Area
Measuring around and inside basic shapes.
Circles: Area & Circumference
C = 2πr and A = πr².
Functions & Algebra II· 1 topics
Function Notation & Evaluation
Reading f(x) notation and plugging in inputs.
Trigonometry· 1 topics
Right-Triangle Trigonometry
SOH-CAH-TOA: the three trig ratios of an acute angle in a right triangle.