Teaching Gr 7 Accel at home

Prepare before the lesson

1. Read the unit's main idea and work through an example. Identify the earlier skill the method relies on.
2. Choose a short practice set that includes both a familiar example and a changed case. Have paper, a diagram or a number line ready when useful.
3. Locate the worked steps and common mistakes. Decide which step the learner should attempt before you offer a hint.

Teach, discuss and check

1. Ask for a prediction or estimate and a representation before starting an algorithm.
2. Explain one worked step and why it is valid. Let the learner complete the next step with less support.
3. Use an incorrect solution to discuss the reasoning, then give a changed problem without the model in view.
4. Check the result by substitution, units, another representation or an estimate. Ask when the method applies.

Judge the reasoning

Use these discussion criteria with the unit’s own marking guidance. They are a feedback framework, not a universal numerical grade.

• Chooses a suitable representation or relationship.
• Uses valid steps and carries the necessary units or conditions.
• Explains why the method answers the question.
• Checks the result and can adapt to a changed case.

Keep one worked example, one corrected error and one independent changed-case solution. Solving a practice question after retries is progress, but does not by itself establish independent mastery.

When the learner needs support

• When a procedure is memorized without meaning, return to a diagram or a small numerical example.
• When a prerequisite is missing, revisit the matching earlier unit rather than repeating a harder set unchanged.
• Separate an arithmetic slip from a misunderstanding of the relationship, and choose feedback accordingly.

Plan this course

Ratio and proportion, rational numbers, statistics and probability, equations and inequalities, then geometry.

This math course has no authored weekly timetable in the Parent Center. Schedule its units or your own activities at a pace you choose.

No authored weekly timetable is available here. Schedule individual units and outside activities at your chosen pace.

Materials and records

Use paper, a suitable diagram or manipulatives, and the worked examples in the existing course.

Use the course assessments

Keep one worked example, one corrected error and one independent changed-case solution. Solving a practice question after retries is progress, but does not by itself establish independent mastery.

Read the full course guide

Units and teaching goals

• Unit 1 · Proportional Reasoning with Rates

  A rate compares two different kinds of quantity. Turn it into a unit rate and you can compare anything.

• Unit 2 · Proportional Reasoning with Percents

  A percent is a rate out of 100. Turn it into a multiplier and every percent problem becomes one multiplication.

• Unit 3 · Positive Rational Number Operations

  Fractions, decimals and percents are three costumes for the same number. Choose whichever makes the arithmetic easiest.

• Unit 4 · 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.

• Unit 5 · 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.

• Unit 6 · Probability of Simple Events

  Probability is a fraction: what you want over everything that could happen — as long as every outcome is equally likely.

• Unit 7 · 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.

• Unit 8 · Proportional Relationships

  A proportional relationship is y = kx: a straight line through the origin, with one constant ratio running through every pair.

• Unit 9 · 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.

• Unit 10 · Reasoning with Equations & Inequalities

  Before you solve anything, translate. Most of the difficulty in a word problem is turning English into algebra.

• Unit 11 · Solving Equations

  Undo what was done, in reverse order, doing the same thing to both sides every time.

• Unit 12 · Solving Inequalities

  Solve them exactly like equations — with one extra rule that catches almost everyone.

• Unit 13 · Proportional Reasoning with Scale Drawings

  Scaling changes every length by the same factor k — which multiplies area by k2 and volume by k3.

• Unit 14 · 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.

• Unit 15 · 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.

• Unit 16 · Volume & Surface Area of 3-D Figures

  Volume fills the inside — base area times height. Surface area wraps the outside — add up every face.

• Unit 17 · 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.