Grade 7 Accelerated
Ratio and proportion, rational numbers, statistics and probability, equations and inequalities, then geometry.
Grade 7 Accelerated 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 7 Accelerated
- Proportional Reasoning with Rates — A rate compares two different kinds of quantity. Turn it into a unit rate and you can compare anything.
- Proportional Reasoning with Percents — A percent is a rate out of 100. Turn it into a multiplier and every percent problem becomes one multiplication.
- Positive Rational Number Operations — Fractions, decimals and percents are three costumes for the same number. Choose whichever makes the arithmetic easiest.
- 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.
- 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.
- Proportional Relationships — A proportional relationship is y = kx: a straight line through the origin, with one constant ratio running through every pair.
- 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.
- Reasoning with Equations & Inequalities — Before you solve anything, translate. Most of the difficulty in a word problem is turning English into algebra.
- Solving Equations — Undo what was done, in reverse order, doing the same thing to both sides every time.
- Solving Inequalities — Solve them exactly like equations — with one extra rule that catches almost everyone.
- Proportional Reasoning with Scale Drawings — Scaling changes every length by the same factor k — which multiplies area by k2 and volume by k3.
- Length and Area in 2-D Figures — Every area formula is a rectangle in disguise. Know where each one comes from and you will never mix them up.
- Plane Sections of 3-D Figures — Slice a solid with a flat plane and a flat shape appears. The angle of the cut decides which shape you get.
- Volume & Surface Area of 3-D Figures — Volume fills the inside — base area times height. Surface area wraps the outside — add up every face.
- Geometric Construction — With only a compass and a straightedge you can copy, bisect and build exactly — and the angle facts tell you when a figure is even possible.