### B: Students use algebraic and graphical models to generalize patterns, make predictions, and solve problems.

#### B.2: represent linear data using linear function models, including

B.2.1: ordered pairs

Linear Functions

Points, Lines, and Equations

Slope-Intercept Form of a Line

B.2.2: word descriptions

Linear Functions

Slope-Intercept Form of a Line

B.2.3: graphs

Compound Interest

Exponential Functions

Linear Functions

Slope-Intercept Form of a Line

B.2.4: equations

Compound Interest

Linear Functions

Slope-Intercept Form of a Line

B.2.5: table of values

Compound Interest

Points, Lines, and Equations

Slope-Intercept Form of a Line

#### B.4: determine the following characteristics of the graph of a linear function, given its equation or graph:

B.4.1: x- and y-intercepts

Absolute Value with Linear Functions

Cat and Mouse (Modeling with Linear Systems) - Metric

Exponential Functions

Graphs of Polynomial Functions

Linear Functions

Slope-Intercept Form of a Line

B.4.2: slope

Absolute Value with Linear Functions

Cat and Mouse (Modeling with Linear Systems) - Metric

Slope-Intercept Form of a Line

B.4.3: domain

Exponential Functions

B.4.4: range

Exponential Functions

#### B.6: solve problems involving partial variation and arithmetic sequences as applications of linear functions

Arithmetic Sequences

Arithmetic and Geometric Sequences

Direct and Inverse Variation

### C: Students describe and compare everyday phenomena, using either direct or indirect measurement, describe the characteristics of 3-D objects and 2-D shapes, and analyse the relationships among them.

#### C.1: solve problems involving two right triangles using trigonometry and the Pythagorean Theorem

Cosine Function

Sine Function

Sine, Cosine, and Tangent Ratios

Tangent Function

#### C.2: extend the concepts of sine and cosine for angles through to 180°

Sine, Cosine, and Tangent Ratios

#### C.6: determine the relationships among linear scale factors, areas, the surface areas, and the volumes of similar figures and objects

Dilations

Similar Figures

#### C.7: solve problems involving length, area, volume, time, mass, and rates derived from these

Area of Parallelograms

Area of Triangles

Beam to Moon (Ratios and Proportions) - Metric

Perimeter and Area of Rectangles

Prisms and Cylinders

Similar Figures

#### C.9: solve problems involving distances between points in the coordinate plane

Points in the Coordinate Plane

#### C.12: determine the equation of a line, given information that uniquely determines the line

Points, Lines, and Equations

Slope

Slope-Intercept Form of a Line

### D: Students collect, display, and analyse data to make predictions about a population.

#### D.1: determine the equation of a line of best fit, using

D.1.1: estimate of slope and one point

Correlation

Solving Using Trend Lines

D.1.2: least squares method with technology

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

#### D.3: interpret the correlation coefficient (r) and its limitations for varying problem situations, using relevant scatter plots

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

#### D.4: apply line-fitting and correlation techniques to analyse experimental results

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

Correlation last revised: 9/16/2020