Mathematics, Grade 8

Unit 1: Number

The real number system, scientific notation, and square roots; and using integers, fractions, percents, and proportional reasoning to solve multi-step problems.

• Representing and comparing numbers with scientific notation

• Describing, comparing, and ordering rational and irrational numbers

• Estimating and calculating square roots
• Recalling commonly used square numbers and their square roots

• Using fractions, decimals, and percents flexibly, including over 100% and under 1%

• Using order of operations to solve multi-step problems with rational numbers, ratios, rates, and percents

• Using mental math to multiply and divide by powers of ten

• Adding and subtracting integers using appropriate strategies

• Adding and subtracting fractions using appropriate strategies

• Multiplying and dividing fractions by fractions, whole numbers, and mixed numbers

• Multiplying and dividing integers using appropriate strategies

• Comparing proportional situations and finding unknown values

Unit 2: Algebra

Comparing and creating patterns with rational numbers; adding and subtracting monomials and binomials; evaluating expressions and solving equations and inequalities; and writing and reading code that analyses data.

• Comparing patterns using rate and initial value

• Creating and translating patterns using algebraic expressions and equations

• Using pattern rules to extend patterns and solve for unknown values

• Creating patterns that show relationships among rational numbers

• Adding and subtracting monomials with a degree of 1
• Adding binomials with a degree of 1 that involve integers

• Evaluating algebraic expressions with rational numbers

• Solving and verifying equations with multiple terms, integers, and decimal numbers

• Solving, verifying, and graphing inequalities with integers

• Writing and running code that analyses data to inform decisions
• Reading and changing code that analyses data

Unit 3: Data

Telling one-variable from two-variable data; collecting, graphing (including scatter plots), and analysing data, including with infographics and correlation language; and solving probability problems with Venn and tree diagrams.

• Telling one-variable and two-variable data situations apart

• Collecting continuous two-variable data and organizing it in a table of values

• Choosing and justifying the best graph, including scatter plots

• Creating an infographic using tables and scatter plots

• Using correlation language to describe two-variable relationships

• Analysing data in scatter plots and misleading graphs to draw conclusions

• Solving probability problems using Venn and tree diagrams

• Comparing theoretical and experimental probabilities of multiple independent and dependent events

Unit 4: Spatial Sense

Tessellations, scale drawings and models, and transformations (including dilations) on the Cartesian plane; and measurement — metric prefixes, angle properties, composite shape formulas, and the Pythagorean relationship.

• Identifying properties of tessellating shapes and their transformations

• Making objects and models from views using appropriate scales
• Using scale drawings to calculate actual lengths and areas

• Performing and predicting translations, reflections, rotations, and dilations

• Representing very large and very small metric units with exponential notation

• Solving angle problems with intersecting and parallel lines and polygons

• Solving perimeter, area, volume, and surface area problems for composite shapes and objects

• Describing and applying the Pythagorean relationship to find an unknown side length

Unit 5: Financial Literacy

Multiple-currency payments and exchange rates; building a long-term financial plan and a balanced budget; simple and compound interest; and comparing consumer offers, including credit cards.

• Weighing methods of payment across currencies and exchange rates

• Creating a financial plan that accounts for income, expenses, and taxes

• Identifying ways to keep a balanced budget and track income and spending

• Determining the growth of simple and compound interest and its long-term impact

• Comparing ways consumers can get more value for their money

• Comparing credit card interest rates, fees, and rewards to find the best value