Mathematics 10

Unit 1: Measurement

Linear measurement and unit conversion in SI and imperial systems, surface area and volume of 3-D objects, and the primary trigonometric ratios in right triangles.

• Referents and estimation for linear measure
• Measuring and solving linear problems with instruments

• Converting units with proportional reasoning
• Verifying conversions with unit analysis

• Surface area and volume of prisms and cylinders
• Surface area and volume of cones, pyramids, and spheres
• Composite objects and unknown dimensions

• Defining and setting up the primary trig ratios
• Solving right triangles and indirect measurement

Unit 2: Algebra and Number

Irrational numbers and radicals, powers with integral and rational exponents, and the multiplication and factoring of polynomial expressions.

• Identifying and ordering irrational numbers
• Simplifying and converting radicals

• Applying exponent laws with rational exponents
• Converting between powers and radicals

• Multiplying binomials with an area model
• Multiplying polynomials symbolically

• Removing common factors
• Factoring trinomials and differences of squares

Unit 3: Relations and Functions

Interpreting graphs and situations, relations and functions, slope and the many forms of linear relations, function notation, and systems of linear equations — functions treated as tools for modelling data.

• Interpreting graphs and situations
• Domain and range from data

• Distinguishing relations and functions

• Slope as rise over run and rate of change
• Parallel and perpendicular slopes

• Representing linear relations many ways
• Characteristics of a linear graph

• Slope-intercept form
• General form and rewriting between forms
• Slope-point form

• Equation from a graph or a point and slope
• Equation from two points
• Equation from a parallel or perpendicular line

• Representing a linear function with function notation

• Solving systems graphically
• Solving systems algebraically

Unit 4: Financial Mathematics

Unit pricing and currency exchange, calculating gross and net pay from various income methods, and building a personal budget.

• Best buys with unit pricing
• Currency exchange

• Calculating gross pay
• Calculating net pay after deductions

• Building a personal budget