Grade 8 Math
10 units matched to the Manitoba Curriculum.
Learning focus
- Number: Develop number sense.
- Patterns and Relations: Use patterns to describe the world and solve problems.
- Patterns and Relations: Represent algebraic expressions in multiple ways.
- Shape and Space: Use direct or indirect measurement to solve problems.
- Shape and Space: Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.
- Shape and Space: Describe and analyze position and motion of objects and shapes.
- Statistics and Probability: Collect, display, and analyze data to solve problems.
- Statistics and Probability: Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.
Units
Unit 1
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.
Learning outcome: 8.N.1, 8.N.2 · perfect squares, square roots and estimating square roots of whole numbers
Unit 2
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.
Learning outcome: 8.N.6, 8.N.8 · multiplying and dividing positive fractions and mixed numbers, and solving problems with them
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.
Learning outcome: 8.N.7 · multiplying and dividing integers
Unit 4
Percents & Money
Finding a percent of a number, moving between fractions, decimals and percents, sale prices and sales tax (BC's 12%), simple monthly budgets, and making change.
Learning outcome: 8.N.3 · percents greater than or equal to 0%
Unit 5
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.
Learning outcome: 8.N.4, 8.N.5 · ratios, rates and proportional reasoning
Unit 6
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.
Learning outcome: 8.PR.1, 8.PR.2 · linear relations and solving linear equations
Unit 7
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.
Learning outcome: 8.SS.1 · developing and applying the Pythagorean theorem
Unit 8
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.
Learning outcome: 8.SS.3, 8.SS.4 · surface area and volume of prisms and cylinders
Unit 9
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.
Learning outcome: 8.SS.6 · tessellations and the transformations that create them
Unit 10
Probability & Data
Counting outcomes, finding theoretical and experimental probabilities, predicting how often something will happen, and summarizing data with the mean, median and range.
Learning outcome: 8.SP.1, 8.SP.2 · critiquing data displays, and the probability of independent events
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