Mathematics 10C

Unit 1: Measurement

General outcome: develop spatial sense and proportional reasoning. Linear measurement in SI and imperial units, conversions, surface area and volume of 3-D objects, and right-triangle trigonometry.

• SI and imperial units
• Estimation and measurement strategies

• Converting within and between systems
• Conversion problem solving

• Prisms and cylinders
• Pyramids and cones
• Spheres and mixed problems

• The three primary ratios
• Finding missing sides
• Finding angles and solving problems

Unit 2: Algebra and Number

General outcome: develop algebraic reasoning and number sense. Factors of whole numbers, irrational numbers, powers with integral and rational exponents, polynomial multiplication, and factoring.

• Prime factors, GCF and LCM
• Square roots and cube roots

• Identifying and simplifying radicals
• Ordering irrational numbers

• Integral exponents and exponent laws
• Rational exponents

• Multiplying binomials
• Multiplying larger polynomials

• Common factors
• Factoring trinomials
• Difference of squares and perfect-square trinomials

Unit 3: Relations and Functions

General outcome: develop algebraic and graphical reasoning through the study of relations. Graphs and situations, functions, slope, linear relations in all their forms, function notation, and systems of linear equations.

• Interpreting graphs in context
• Graphs from descriptions

• Relations and how to represent them
• Functions as special relations

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

• Five representations
• Moving between representations

• Intercepts
• Slope, domain and range

• Slope–intercept form
• General and slope–point forms

• From a graph, or a point and slope
• From two points, or a parallel/perpendicular line

• Reading and writing f(x)
• Function notation and graphs

• Solving systems graphically
• Substitution and elimination
• Problem solving with systems