Teaching Grade 8 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

Transformations and congruence, linear equations and angles, functions and systems, bivariate data, then real numbers, Pythagoras and volume.

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 · Translations, Reflections & Rotations

  Three moves — slide, flip, turn — never change a shape. Everything in this unit follows from that one fact.

• Unit 2 · Congruence & Sequences of Transformations

  Two shapes are congruent exactly when some sequence of slides, flips and turns carries one onto the other.

• Unit 3 · Dilations & Similarity

  A dilation multiplies every distance from one fixed point by the same number. Angles survive; lengths do not.

• Unit 4 · Multi-Step Equations

  Distribute, collect, then undo. Every linear equation, however long, yields to that order.

• Unit 5 · Angle Relationships

  Parallel lines cut by a transversal make only two different angles. Knowing which is which unlocks every diagram.

• Unit 6 · Slope & Unit Rate

  Slope is a rate of change wearing a geometric coat: how much y moves for every one step in x.

• Unit 7 · Linear Functions & y = mx + b

  Two numbers describe a whole line: where it starts, and how fast it changes.

• Unit 8 · What Is a Function?

  A function is a rule with no ambiguity: one input, exactly one output. That is the whole definition.

• Unit 9 · Systems of Linear Equations

  Two conditions at once. The answer is the single pair of numbers that satisfies both.

• Unit 10 · Scatter Plots & Association

  Two measurements per person, one dot each. The shape of the cloud is the finding.

• Unit 11 · Lines of Best Fit

  One line drawn through the middle of the cloud, then read like any other line: slope and intercept, with units.

• Unit 12 · Two-Way Tables

  Two yes-or-no questions, four boxes, and a set of totals that must agree. Then turn counts into percentages.

• Unit 13 · Squares & Square Roots

  Squaring and taking a square root undo each other. A root asks: what number, times itself, gives this?

• Unit 14 · Real Numbers

  Every number you meet this year is either rational — a fraction — or irrational. Knowing which tells you how it behaves.

• Unit 15 · Pythagorean Theorem

  In any right triangle, the two legs squared add to the hypotenuse squared. It turns a right angle into arithmetic.

• Unit 16 · Distance on the Coordinate Plane

  Draw the right triangle and the distance formula stops being something to memorise.

• Unit 17 · Exponents & Scientific Notation

  An exponent counts how many times you multiply, not what you multiply by. That one idea explains every rule.

• Unit 18 · Operations with Scientific Notation

  Handle the front numbers and the powers of ten separately, then tidy the result back into proper form.

• Unit 19 · 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.