Grade 6 Math
Where middle school starts: decimals and fraction division, integers and the coordinate plane, ratios, rates and percents, expressions and one-step equations, area, surface area and volume, and a first look at data.
Grade 6 Math covers 17 units across 5 strands, with 272 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 6 Math
- Decimals & Long Division — Place value carries on past the point, which is why the old methods still work.
- GCF and LCM — Prime factorisation answers both questions at once: shared factors give the GCF, and everything needed gives the LCM.
- Dividing Fractions — Dividing asks how many of these fit into that, and the answer can be bigger than you started with.
- Integers & Absolute Value — Below zero is a direction, and how far from zero is a separate question.
- The Coordinate Plane — Two numbers pin down any point, once you agree which one comes first.
- Ratios & Ratio Tables — A ratio compares two amounts, and scaling both by the same factor leaves it unchanged.
- Unit Rates & Better Buys — Reduce everything to one of something, and comparisons become obvious.
- Percents — Per cent means per hundred, so every percent is a fraction with a hundred underneath.
- Expressions & Order of Operations — A letter stands for a number you have not been told yet, and the order of operations settles what a written expression means.
- One-Step Equations — An equation is a balanced scale, and whatever you do to one side you must do to the other.
- Inequalities — Some questions have a whole range of answers, and a number line is how you show them all.
- Area of Triangles & Quadrilaterals — Every area formula in this unit comes from a rectangle that has been cut up or rearranged.
- Surface Area & Nets — Unfold a solid and its surface becomes a flat shape whose area you already know how to find.
- Volume with Fractional Edges — Volume still counts cubes — but when the cubes are smaller than one unit, counting is not the whole answer.
- Statistical Questions & Distributions — A statistical question is one that expects a spread of answers, not a single one.
- Centre & Spread — One number for the middle is never enough, because two very different groups can share an average.
- Reading Graphs & Estimation — A graph is an argument. Read the scale before the shape, or you will believe whatever it wants you to believe.