1: Number Concepts/Number and Relationship Operations

1.1: Students will demonstrate number sense and apply number theory concepts.

1.1.2: order real numbers, represent them in multiple ways (including scientific notation) and apply appropriate representations to solve problems

Comparing and Ordering Decimals
Rational Numbers, Opposites, and Absolute Values
Unit Conversions 2 - Scientific Notation and Significant Digits

1.1.4: Some post-secondary intending students will be expected to explain and apply relationships among real and complex numbers

Roots of a Quadratic

2: Patterns and Relations

2.1: Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.

2.1.1: model real-world problems using functions, equations, inequalities and discrete structures

Solving Equations on the Number Line

2.1.2: represent functional relationships in multiple ways (e.g., written descriptions, tables, equations and graphs) and describe connections among these representations

Linear Functions

2.1.4: solve problems involving relationships, using graphing technology as well as paper-and-pencil techniques

Absolute Value with Linear Functions
Quadratics in Polynomial Form
Quadratics in Vertex Form

2.1.5: analyze and explain the behaviours, transformations and general properties of types of equations and relations

Absolute Value with Linear Functions
Exponential Functions
General Form of a Rational Function
Graphs of Polynomial Functions
Introduction to Exponential Functions
Introduction to Functions
Linear Functions
Logarithmic Functions
Rational Functions
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
Translations

2.1.6: perform operations on and between functions

Addition and Subtraction of Functions

3: Shape and Space

3.1: Students will demonstrate an understanding of and apply concepts and skills associated with measurement.

3.1.1: measure quantities indirectly, using techniques of algebra, geometry and trigonometry

Perimeters and Areas of Similar Figures
Similar Figures
Sine, Cosine, and Tangent Ratios

3.1.3: apply measurement formulas and procedures in a wide variety of contexts

Area of Parallelograms
Area of Triangles
Circumference and Area of Circles
Perimeter and Area of Rectangles
Prisms and Cylinders
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

3.1.4: Some post-secondary intending students will be expected to demonstrate an understanding of the meaning of area under a curve

Riemann Sum

3.2: Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.

3.2.5: make and test conjectures about, and deduce properties of and relationships between, 2- and 3-D figures in multiple contexts

Classifying Quadrilaterals

4: Data Management and Probability

4.1: Students will solve problems involving the collection, display and analysis of data.

4.1.1: understand sampling issues and their role with respect to statistical claims

Polling: City
Populations and Samples

4.1.4: determine, interpret and apply as appropriate a wide variety of statistical measures and distributions

Box-and-Whisker Plots
Describing Data Using Statistics
Populations and Samples
Real-Time Histogram

4.2: Students will represent and solve problems involving uncertainty.

4.2.2: build and apply formal concepts and techniques of theoretical probability (including the use of permutations and combinations as counting techniques)

Binomial Probabilities
Permutations and Combinations
Probability Simulations

4.2.3: understand the differences among, and relative merits of, theoretical, experimental and simulation techniques

Binomial Probabilities
Geometric Probability
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

4.2.5: Some post-secondary intending students will be expected to create and interpret discrete and continuous probability distributions and apply them in realworld situations

Polling: City