Grade 7 Math
A traditional sequence: number systems and exponents, then algebra, measurement and geometry, finishing with data, Pythagoras and functions.
Grade 7 Math covers 19 units across 6 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 7 Math
- Exponents & Scientific Notation — An exponent counts how many times you multiply, not what you multiply by. That one idea explains every rule.
- Problem Solving — A hard problem is rarely beaten by cleverness. It is beaten by a method: understand it, pick a strategy, carry it out, then check.
- 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.
- GCF and LCM — Prime factorisation answers both questions at once: shared factors give the GCF, and everything needed gives the LCM.
- Positive & Negative Rational Number Operations — Negative numbers are directions, not just "less than nothing". Subtraction is adding the opposite, and sign rules come from patterns you can see.
- Representing Other Algebraic Relationships — Not everything is proportional. Learn to read a pattern, name the rule, and write it as an expression you can trust.
- Solving Equations — Undo what was done, in reverse order, doing the same thing to both sides every time.
- Measurement — Every conversion is a multiplication by one. Write the unit you want on top, the unit you have on the bottom, and the wrong units cancel themselves.
- Circles — Every circle has the same ratio of circumference to diameter. That ratio is π, and it drives both formulas.
- Volume & Surface Area of 3-D Figures — Volume fills the inside — base area times height. Surface area wraps the outside — add up every face.
- Proportional Reasoning with Rates — A rate compares two different kinds of quantity. Turn it into a unit rate and you can compare anything.
- Proportional Relationships — A proportional relationship is y = kx: a straight line through the origin, with one constant ratio running through every pair.
- Reading Graphs & Estimation — A graph is an argument. Read the scale before the shape, or you will believe whatever it wants you to believe.
- Sampling, Inferences & Comparing Populations — You cannot measure everyone, so you measure some. A random sample lets a small group speak honestly for a large one.
- Probability of Simple Events — Probability is a fraction: what you want over everything that could happen — as long as every outcome is equally likely.
- Probability of Compound Events — Two or more things happening: multiply along a path, add across paths, and watch whether the first event changes the second.
- Pythagorean Theorem — In any right triangle, the two legs squared add to the hypotenuse squared. It turns a right angle into arithmetic.
- Functions — A function is a machine: one input goes in, exactly one output comes out. The rule is the machine.