Grade 8 Math
Transformations and congruence, linear equations and angles, functions and systems, bivariate data, then real numbers, Pythagoras and volume.
Grade 8 Math covers 19 units across 4 strands, with 304 practice questions, worked examples, and a printable page for every unit. Each unit has a lesson, practice with worked steps, challenge problems, and a chapter review; the course has chapter quizzes, a midterm and a final.
Every unit below is a page of its own: read the explanation, work the examples, then practise. Answers and worked steps are shown after each attempt, so a parent does not have to mark the routine questions.
Units in Grade 8 Math
- Translations, Reflections & Rotations — Three moves — slide, flip, turn — never change a shape. Everything in this unit follows from that one fact.
- Congruence & Sequences of Transformations — Two shapes are congruent exactly when some sequence of slides, flips and turns carries one onto the other.
- Dilations & Similarity — A dilation multiplies every distance from one fixed point by the same number. Angles survive; lengths do not.
- Multi-Step Equations — Distribute, collect, then undo. Every linear equation, however long, yields to that order.
- Angle Relationships — Parallel lines cut by a transversal make only two different angles. Knowing which is which unlocks every diagram.
- Slope & Unit Rate — Slope is a rate of change wearing a geometric coat: how much y moves for every one step in x.
- Linear Functions & y = mx + b — Two numbers describe a whole line: where it starts, and how fast it changes.
- What Is a Function? — A function is a rule with no ambiguity: one input, exactly one output. That is the whole definition.
- Systems of Linear Equations — Two conditions at once. The answer is the single pair of numbers that satisfies both.
- Scatter Plots & Association — Two measurements per person, one dot each. The shape of the cloud is the finding.
- Lines of Best Fit — One line drawn through the middle of the cloud, then read like any other line: slope and intercept, with units.
- Two-Way Tables — Two yes-or-no questions, four boxes, and a set of totals that must agree. Then turn counts into percentages.
- Squares & Square Roots — Squaring and taking a square root undo each other. A root asks: what number, times itself, gives this?
- Real Numbers — Every number you meet this year is either rational — a fraction — or irrational. Knowing which tells you how it behaves.
- Pythagorean Theorem — In any right triangle, the two legs squared add to the hypotenuse squared. It turns a right angle into arithmetic.
- Distance on the Coordinate Plane — Draw the right triangle and the distance formula stops being something to memorise.
- Exponents & Scientific Notation — An exponent counts how many times you multiply, not what you multiply by. That one idea explains every rule.
- Operations with Scientific Notation — Handle the front numbers and the powers of ten separately, then tidy the result back into proper form.
- Volume of Cylinders, Cones & Spheres — Three formulas, one family. A cone is a third of its cylinder, and a sphere is two thirds of it.