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

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

1.2: Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.

1.2.3: derive, analyze and apply algebraic procedures (including those involving algebraic expressions and matrices) in problem situations

Compound Interest
Dividing Exponential Expressions
Multiplying Exponential Expressions

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

Linear Functions
Linear Inequalities in Two Variables
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

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

Absolute Value with Linear Functions
Exponential Functions
Introduction to Exponential Functions
Introduction to Functions
Linear 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

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

Riemann Sum

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

4.1.2: extend construction (both manually and via appropriate technology) of a wide variety of data displays

Box-and-Whisker Plots
Correlation
Stem-and-Leaf Plots

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
Mean, Median, and Mode
Populations and Samples
Real-Time Histogram
Stem-and-Leaf Plots

4.1.5: design and conduct relevant statistical experiments (e.g., projects with respect to current issues, career applications, a/o other disciplines) and analyze and communicate the results using a range of statistical arguments

Polling: City

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

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