Manitoba Curriculum

10I.M.3: Solve problems, using SI and imperial units, that involve the surface area and volume of 3-D objects, including

10I.M.3.c: right prisms

Prisms and Cylinders

Surface and Lateral Areas of Prisms and Cylinders

10I.M.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

10I.A.1: Demonstrate an understanding of factors of whole numbers by determining

10I.A.1.a: prime factors

Finding Factors with Area Models

10I.A.1.b: greatest common factor

Finding Factors with Area Models

10I.A.1.d: square root

Operations with Radical Expressions

Simplifying Radical Expressions

Square Roots

10I.A.4: Demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials, and trinomials), concretely, pictorially, and symbolically.

Modeling the Factorization of *x*^{2}+*bx*+*c*

10I.A.5: Demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially, and symbolically.

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

10I.R.2: Demonstrate an understanding of relations and functions.

Introduction to Functions

Linear Functions

10I.R.3: Demonstrate an understanding of slope with respect to

10I.R.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

10I.R.3.b: line segments and lines

Cat and Mouse (Modeling with Linear Systems) - Metric

Slope

Slope-Intercept Form of a Line

10I.R.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

10I.R.3.d: parallel lines

Cat and Mouse (Modeling with Linear Systems) - Metric

10I.R.4: Describe and represent linear relations, using

10I.R.4.a: words

Arithmetic Sequences

Linear Functions

Slope-Intercept Form of a Line

10I.R.4.b: ordered pairs

Linear Functions

Points, Lines, and Equations

10I.R.4.c: tables of values

Compound Interest

Points, Lines, and Equations

Slope-Intercept Form of a Line

10I.R.4.d: graphs

Absolute Value with Linear Functions

Arithmetic Sequences

Compound Interest

Exponential Functions

Linear Functions

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Standard Form of a Line

10I.R.4.e: equations

Absolute Value with Linear Functions

Arithmetic Sequences

Compound Interest

Linear Functions

Slope-Intercept Form of a Line

10I.R.5: Determine the characteristics of the graphs of linear relations, including the

10I.R.5.a: intercepts

Cat and Mouse (Modeling with Linear Systems) - Metric

Linear Functions

Points, Lines, and Equations

Slope-Intercept Form of a Line

10I.R.5.b: slope

Cat and Mouse (Modeling with Linear Systems) - Metric

Compound Interest

Point-Slope Form of a Line

Slope-Intercept Form of a Line

10I.R.6: Relate linear relations expressed in

10I.R.6.a: slope?intercept form (y = mx + b)

Absolute Value with Linear Functions

Linear Inequalities in Two Variables

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

10I.R.6.b: general form (ax + By + C = 0)

Points, Lines, and Equations

Standard Form of a Line

10I.R.6.c: slope?point form (y ? y 1 = m (x ? x 1))

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

10I.R.6.d: to their graphs.

Absolute Value with Linear Functions

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Solving Equations by Graphing Each Side

Standard Form of a Line

10I.R.7: Determine the equation of a linear relation, given

10I.R.7.a: a graph

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Standard Form of a Line

10I.R.7.b: a point and the slope

Linear Inequalities in Two Variables

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Solving Equations by Graphing Each Side

Standard Form of a Line

10I.R.7.c: two points

Linear Inequalities in Two Variables

Points, Lines, and Equations

Solving Equations by Graphing Each Side

Standard Form of a Line

10I.R.7.e: a scatterplot

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

10I.R.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)

10I.R.10: Solve problems that involve the distance between two points and the midpoint of a line segment.

Points in the Coordinate Plane

Correlation last revised: 9/16/2020