Mathematics 8

Unit 1: Number

General outcome: develop number sense. Perfect squares and square roots, percents beyond 100%, ratio and rate, proportional reasoning, and operations on fractions and integers.

• Perfect squares
• Square roots of perfect squares
• Problem solving with squares and roots

• Trapping a root between perfect squares
• Refining the estimate

• Percents of all sizes
• Percent–fraction–decimal
• Solving percent problems

• What a ratio is
• What a rate is

• Solving proportions
• Comparing with unit rates
• Proportional problem solving

• Multiplying fractions
• Dividing fractions
• Fraction problem solving

• Multiplying integers
• Dividing integers
• Integer problem solving

Unit 2: Patterns and Relations

General outcomes: use patterns to describe the world and solve problems; represent algebraic expressions in multiple ways. Graphing two-variable linear relations and solving linear equations with integer coefficients.

• From table to graph
• Analyzing the relation
• Linear relations in context

• One-step equations (ax = b, x/a = b)
• Two-step equations (ax + b = c)
• Equations with brackets (a(x + b) = c)

Unit 3: Shape and Space

General outcomes: use measurement to solve problems; describe 3-D objects and 2-D shapes; analyze position and motion. The Pythagorean theorem, nets, surface area and volume of prisms and cylinders, views of 3-D objects, and congruence of polygons.

• Understanding the theorem
• Finding the hypotenuse
• Finding a leg and solving problems

• Drawing nets
• Matching and building from nets

• Surface area of rectangular prisms
• Surface area of triangular prisms
• Surface area of cylinders

• Volume of rectangular prisms
• Volume of triangular prisms
• Volume of cylinders

• Drawing top, front and side views
• Building from views

• What makes polygons congruent
• Reasoning with congruence

Unit 4: Statistics and Probability

General outcomes: collect, display and analyze data to solve problems; use experimental or theoretical probabilities to solve problems. Critiquing data displays and the probability of independent events.

• Reading the four displays
• Spotting misleading displays

• What independent events are
• Probability of two independent events