Mathematics, Grade 8

Unit 1: Number

Squares and square roots, percents including fractional and greater than 100, rates and ratios and proportional reasoning, and multiplying and dividing fractions and integers.

• Perfect squares
• Estimating square roots

• Representing percents beyond 100 and fractional percents
• Combined percents and problem solving

• Rates versus ratios
• Proportional reasoning

• Multiplying fractions
• Dividing fractions

• Multiplying and dividing integers
• Order of operations with integers

Unit 2: Patterns and Relations

Linear relations in multiple representations and solving linear equations of several forms.

• Representing linear relations in many forms
• Identifying linear relations

• Solving one-step equations
• Solving two-step equations
• Solving equations with brackets

Unit 3: Shape and Space

The Pythagorean Theorem, surface area and volume of right prisms and cylinders, and tessellation.

• Understanding the Pythagorean Theorem
• Pythagorean problems and the converse

• Views and nets of 3-D objects
• Surface area formulae and problems

• Relating base area to volume
• Volume formulae and problems

• Properties of tessellating shapes
• Creating tessellations

Unit 4: Statistics and Probability

Analyzing modes of displaying data and the probability of independent events.

• Comparing and critiquing data displays

• Probability of two independent events