🔢 Grade 8 Math

Units

1. Unit 1

   🔭Big, Small & Real Numbers

   Writing very large and very small numbers in scientific notation, telling rational from irrational numbers, ordering numbers such as √2 and π, and mentally multiplying and dividing by powers of ten.

   Expectation: B1.1, B1.2, B2.3 · scientific notation, rational and irrational numbers, and multiplying and dividing by powers of ten

2. Unit 2

   🟦Squares, Cubes & Roots

   Knowing perfect squares and cubes, finding square roots and cube roots, estimating where a square root falls between whole numbers, and linking squares to the area of a square.

   Expectation: B1.3, B2.2 · square numbers, square roots and estimating square roots

3. Unit 3

   ➖Integer Operations

   Multiplying and dividing positive and negative integers, adding and subtracting them, working with the order of operations, and solving real-life problems such as temperature changes.

   Expectation: B2.1, B2.4, B2.7 · adding, subtracting, multiplying and dividing integers, and the order of operations

4. Unit 4

   🍕Fraction Operations

   Adding and subtracting fractions with unlike denominators, multiplying and dividing fractions, switching between mixed numbers and improper fractions, and finding a fraction of an amount.

   Expectation: B2.5, B2.6 · adding, subtracting, multiplying and dividing fractions and mixed numbers

5. Unit 5

   💯Percents Beyond 100

   Using fractions, decimals and percents together, including percents over 100% and under 1%, finding percent increase and decrease, working backwards from a sale price, and adding Ontario's 13% HST.

   Expectation: B1.4, B2.1 · percents greater than 100% or less than 1%, percent change, and multi-step percent problems

6. Unit 6

   ⚖️Ratios, Rates & Proportions

   Simplifying ratios, finding missing terms in equivalent ratios, comparing unit prices, working with speed, scaling recipes and map distances, and turning a part of a whole into a percent.

   Expectation: B2.8 · ratios, rates and proportional reasoning

7. Unit 7

   📉Growing & Shrinking Patterns

   Finding the constant rate and initial value of a pattern, comparing patterns, writing a rule such as 5n + 2 or 40 − 3n, and using the rule to predict later terms.

   Expectation: C1.1–C1.4 · repeating, growing and shrinking patterns, rates of change, initial values, and rules as algebraic expressions

8. Unit 8

   🔧Algebra Workshop

   Combining like terms, evaluating expressions with integers and decimals, solving equations with the variable on both sides, and solving inequalities and graphing the solutions on a number line.

   Expectation: C2.1–C2.4 · adding and subtracting monomials and binomials, evaluating expressions, solving equations with multiple terms, and solving and graphing inequalities

9. Unit 9

   📈Patterns & Two-Step Equations

   Writing and evaluating expressions like 3n + 2, solving two-step equations, and finding the rule for a growing pattern or a cost made of whole items such as tickets.

   Expectation: C1.3, C2.2, C2.3 · pattern rules, evaluating expressions and solving equations

10. Unit 10

    📈Scatter Plots & Stories

    Deciding when two-variable data is needed, picking the best graph, describing scatter plots as strong, weak, positive, negative or none, spotting outliers, and noticing graphs that mislead.

    Expectation: D1.1–D1.6 · one- and two-variable data, choosing graphs, scatter plots, strong and weak relationships, outliers and misleading graphs

11. Unit 11

    🎰Chance with Many Events

    Using Venn diagrams and tree diagrams, finding the probability of two or more independent events, comparing drawing with and without replacement, and comparing experimental with theoretical probability.

    Expectation: D2.1, D2.2 · probability using Venn and tree diagrams, and independent and dependent events

12. Unit 12

    🪞Tessellations & Transformations

    Why some shapes tessellate, naming the transformations in a tiling, and finding the image of a point after a translation, reflection, rotation or dilation on a coordinate grid.

    Expectation: E1.1, E1.4 · tessellations and their transformations, and translations, reflections, rotations and dilations on a Cartesian plane

13. Unit 13

    🗺️Scale & Models

    Using scale drawings and maps to find real lengths and areas, redrawing at a new scale, matching solids to their top and front views, and building models from views.

    Expectation: E1.2, E1.3 · top, front and side views of objects, models, and scale drawings used to find lengths and areas

14. Unit 14

    📐Angle Detective

    Using equal and supplementary angles when a transversal crosses parallel lines, and the angle sums of triangles, quadrilaterals and polygons, including exterior angles.

    Expectation: E2.2 · angle properties of parallel and intersecting lines, triangles and polygons

15. Unit 15

    📐Pythagorean Theorem

    Finding a missing side of a right triangle, checking whether a triangle is a right triangle, and using the theorem for ladders and diagonals.

    Expectation: E2.4 · the Pythagorean relationship and finding an unknown side length

16. Unit 16

    📏Metric Giants & Composite Shapes

    Converting between metric units from pico to tera using powers of ten, and finding the perimeter, area, volume and surface area of shapes made from several simpler shapes.

    Expectation: E2.1, E2.3 · very large and very small metric units, and perimeter, area, volume and surface area of composite shapes

17. Unit 17

    📦Surface Area & Volume

    Finding surface area and volume of boxes, cubes, triangular prisms and cylinders, working backwards to a missing dimension, linking cm³ to millilitres, and recognizing nets and views of 3D objects.

    Expectation: E2.3 · surface area and volume of prisms and cylinders

18. Unit 18

    💳Money Planner

    Converting between currencies, comparing ways to pay, planning to save for a goal, balancing a budget, finding simple and compound interest, comparing sales and loyalty programs, and weighing credit card fees and interest.

    Expectation: F1.1–F1.6 · payment methods and exchange rates, financial plans, budgets, simple and compound interest, getting value, and comparing credit cards