Alberta- Mathematics: Applied Math 10

Program of Studies    Adopted: 2002

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1: Measurement

1.6: Determine the relationships among linear scale factors, areas, surface areas and volumes of similar figures and objects.

Dilations
 Perimeters and Areas of Similar Figures

2: Number Patterns in Tables

2.7: Create and modify tables from both recursive and nonrecursive situations.

Geometric Sequences

3: Relations and Functions

3.3: Use a graphing tool to draw the graph of a function from its equation.

Radical Functions

3.4: Describe a function in terms of:

3.4.1: ordered pairs

Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

3.4.2: a rule, in word or equation form

Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

3.4.3: a graph.

Exponential Functions
 Introduction to Exponential Functions
 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Radical Functions

3.6: Determine the domain and range of a relation from its graph.

Introduction to Functions
 Logarithmic Functions
 Radical Functions

4: Line Segments

4.1: Solve problems involving distances between points in the coordinate plane, including the use of the distance formula line segment AB = the square root of ((x2 - x1)² + (y2 - y1)²)

Distance Formula

4.3: Solve problems involving rise, run and slope of line segments, including the use of m(AB)= (y2 - y1)/(x2 - x1)

Slope

4.4: Solve problems using slopes of:

4.4.1: parallel lines

Cat and Mouse (Modeling with Linear Systems) - Metric

5: Linear Functions

5.2: Determine the following characteristics of the graph of a linear function, given its equation in any of the forms y = mx + b, y ? y1 = m(x ? x1), Ax + By + C = 0, Ax + By = C:

5.2.1: intercepts

Point-Slope Form of a Line
 Polynomials and Linear Factors
 Standard Form of a Line

5.2.2: slope

Absolute Value with Linear Functions
 Point-Slope Form of a Line
 Slope-Intercept Form of a Line
 Standard Form of a Line

5.3: Determine the equation of a line, given information that uniquely determines the line.

Linear Inequalities in Two Variables
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope-Intercept Form of a Line
 Solving Equations on the Number Line
 Standard Form of a Line

5.4: Use variation and arithmetic sequences as applications of linear functions (use of algebraic and technological means is appropriate).

Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Direct and Inverse Variation

5.5: Determine the equation of a line of best fit, using:

5.5.2: median?median method

Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines

5.5.3: least squares method with technology.

Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines

5.8: Use technological devices to determine the correlation coefficient r.

Correlation

5.9: Interpret the correlation coefficient r and its limitations for varying problem situations, using relevant scatterplots.

Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines

6: Trigonometry

6.1: Solve problems involving two right triangles.

Classifying Triangles
 Concurrent Lines, Medians, and Altitudes
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Similarity in Right Triangles
 Sine, Cosine, and Tangent Ratios

6.2: Extend the concepts of sine and cosine for angles from 0° to 180°.

Cosine Function
 Sine Function

Correlation last revised: 9/16/2020

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