Mathematics 1201 (Academic)

Unit 1: Roots and Powers

Radicals, rational exponents, exponent laws, perfect squares/cubes, prime factors, GCF/LCM, and the real-number subsets.

• The meaning of a radical's index
• Rational exponents as radicals
• Applying the exponent laws
• Finding errors in power simplifications

• Perfect squares and perfect cubes
• Finding square roots and cube roots
• Prime factors, GCF and LCM

• Mixed and entire radicals
• Rational and irrational numbers
• Estimating and ordering irrational numbers

Unit 2: Factors and Products

Multiplying polynomials (monomials, binomials, trinomials) and factoring polynomials, including the difference of squares.

• Binomials as an area model
• Multiplying polynomials symbolically
• Explaining and checking multiplication strategies

• Common factors and the factor-multiply link
• Factoring trinomials
• The difference of squares

Unit 3: Relations and Functions

Graphs and relations, functions and function notation, slope and linear relations, forms of linear equations, and systems of linear equations - functions used as data and modelling tools.

• Situations and graphs
• Representing relations
• Deciding whether a relation is a function
• Domain and range

• Recognizing linear relations
• Slope as rise over run
• Interpreting slope and its sign
• Drawing lines and parallel/perpendicular

• Intercepts of a linear relation
• Graphing from slope-intercept, general, and slope-point form
• Comparing and converting forms
• Writing the equation of a line

• Linear functions in function notation
• Evaluating linear functions

• Modelling with a system of equations
• Solving systems graphically
• Solving systems algebraically

Unit 4: Measurement

Surface area and volume of 3-D objects, linear measurement with SI and imperial referents, and converting units within and between systems.

• Surface area of 3-D objects
• Volume and volume relationships
• Spheres and composite objects

• Referents and estimating linear measure
• Measuring and personal strategies
• Converting within and between SI and imperial

Unit 5: Trigonometry

Right-triangle trigonometry: the primary trigonometric ratios and the Pythagorean theorem used to solve right triangles and real measurement problems.

• The primary trigonometric ratios
• Finding missing sides and angles
• Solving problems with trig and Pythagoras