23 core topics + 43 prerequisite topics taught as needed · approximately 16 hours of instruction including spaced review · premium unlock $34.99
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.
| Angle Relationships [E] | Vertical, complementary, and supplementary angle pairs. |
| Parallel Lines & Transversals [E] | Angle pairs formed when a transversal crosses parallel lines. |
| Triangle Angle Sum [E] | The three angles of a triangle always add to 180°. |
| The Pythagorean Theorem [M] | In a right triangle, a² + b² = c². |
| Distance & Midpoint [M] | Measuring segments in the coordinate plane. |
| Similar Triangles [M] | Same shape, different size: corresponding sides are proportional. |
| Perimeter & Area [E] | Measuring around and inside basic shapes. |
| Circles: Area & Circumference [M] | C = 2πr and A = πr². |
| Composite Areas [H] | Adding and subtracting simple shapes to measure a complicated one. |
| Volume: Prisms & Cylinders [M] | Volume = base area × height. |
| Volume: Cones, Pyramids & Spheres [M] | Pointed solids hold one third of the matching prism; spheres use 4/3 πr³. |
| Surface Area [M] | The total area of all the faces of a solid. |
| Special Right Triangles [H] | The 45-45-90 and 30-60-90 side ratios. |
| Arc Length & Sector Area [H] | A central angle takes the same fraction of the circumference and the area. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
| Simplifying Radicals | Pulling perfect-square factors out of a square root. |
| Exponential Growth & Decay | Quantities that multiply by the same factor each time step: y = a·bᵗ. |
| Function Notation & Evaluation | Reading f(x) notation and plugging in inputs. |
| Right-Triangle Trigonometry | SOH-CAH-TOA: the three trig ratios of an acute angle in a right triangle. |
| Mean, Median & Range | Center and spread in one pass. |