Alberta- Mathematics: 10C

Program of Studies    Adopted: 2007

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1: Develop spatial sense and proportional reasoning.

1.3: Solve problems, using SI and imperial units, that involve the surface area and volume of 3-D objects, including:

1.3.b: right cylinders

Surface and Lateral Areas of Prisms and Cylinders

1.3.c: right prisms

Prisms and Cylinders
 Surface and Lateral Areas of Prisms and Cylinders

1.3.d: right pyramids

Pyramids and Cones
 Surface and Lateral Areas of Pyramids and Cones

1.4: Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles.

Cosine Function
 Sine Function
 Sine, Cosine, and Tangent Ratios
 Sum and Difference Identities for Sine and Cosine
 Tangent Function
 Translating and Scaling Sine and Cosine Functions

2: Develop algebraic reasoning and number sense.

2.1: Demonstrate an understanding of factors of whole numbers by determining the:

2.1.a: prime factors

Finding Factors with Area Models

2.1.b: greatest common factor

Finding Factors with Area Models

2.1.d: square root

Operations with Radical Expressions

2.4: Demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials and trinomials), concretely, pictorially and symbolically.

Modeling the Factorization of x2+bx+c

2.5: Demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially and symbolically.

Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c

3: Develop algebraic and graphical reasoning through the study of relations.

3.2: Demonstrate an understanding of relations and functions.

Introduction to Functions
 Linear Functions

3.3: Demonstrate an understanding of slope with respect to:

3.3.a: rise and run

Cat and Mouse (Modeling with Linear Systems) - Metric
 Distance-Time and Velocity-Time Graphs - Metric
 Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line

3.3.b: line segments and lines

Cat and Mouse (Modeling with Linear Systems) - Metric
 Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line

3.3.c: rate of change

Cat and Mouse (Modeling with Linear Systems) - Metric
 Distance-Time and Velocity-Time Graphs - Metric
 Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line

3.3.d: parallel lines

Cat and Mouse (Modeling with Linear Systems) - Metric

3.4: Describe and represent linear relations, using:

3.4.b: ordered pairs

Linear Functions

3.4.c: tables of values

Linear Functions

3.4.d: graphs

Linear Functions

3.4.e: equations.

Linear Functions

3.5: Determine the characteristics of the graphs of linear relations, including the:

3.5.b: slope

Slope
 Standard Form of a Line

3.6: Relate linear relations expressed in:

3.6.c: slope-point form (y - y1 = m(x - x1)) to their graphs.

Point-Slope Form of a Line

3.7: Determine the equation of a linear relation, given:

3.7.a: a graph

Absolute Value with Linear Functions
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope-Intercept Form of a Line
 Standard Form of a Line

3.7.b: a point and the slope

Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line
 Standard Form of a Line

3.7.c: two points

Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope
 Slope-Intercept Form of a Line
 Standard Form of a Line

3.9: Solve problems that involve systems of linear equations in two variables, graphically and algebraically.

Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

Correlation last revised: 11/14/2022

This correlation lists the recommended Gizmos for this province's curriculum standards. Click any Gizmo title below for more information.