1: Measurement

1.M: Measurement

1.M3: Solve problems, using SI and imperial units, that involve the surface area and volume of 3-D objects, including:

1.M3.b: right cylinders

Surface and Lateral Areas of Prisms and Cylinders

1.M3.c: right prisms

Prisms and Cylinders
Surface and Lateral Areas of Prisms and Cylinders

1.M3.1: Sketch a diagram to represent a problem that involves surface area or volume.

Surface and Lateral Areas of Prisms and Cylinders

1.M3.2: Determine the surface area of a right cone, right cylinder, right prism, or a right pyramid, using an object or its labelled diagram.

Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

1.M3.3: Determine an unknown dimension of a right cone, right cylinder, right prism, or right pyrmaid, given the object's surface area and the remaining dimensions.

Prisms and Cylinders
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

1.M3.4: Determine the volume of a right cone, right cylinder, right prism, or a right pyramid using an object or its labelled diagram.

Prisms and Cylinders
Surface and Lateral Areas of Prisms and Cylinders

1.M3.6: Determine an unknown dimension of a right cone, right cylinder, right prism, or right pyramid, given the object’s volume and the remaining dimensions.

Prisms and Cylinders
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

1.M3.9: Solve a problem that involves surface area or volume, using an object or its labelled diagram of a composite 3-D object.

Surface and Lateral Areas of Prisms and Cylinders

2: Trigonometry

2.M: Measurement

2.M4: Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles.

2.M4.1: Identify the hypotenuse of a right triangle and the opposite and adjacent sides for a given acute angle in the triangle.

Classifying Triangles
Special Parallelograms

2.M4.2: Explain the relationships between similar right triangles and the definitions of the primary trigonometric ratios.

Sine, Cosine, and Tangent Ratios

2.M4.3: Use the primary trigonometric ratios to determine the measure of a missing angle in a right triangle.

Sine, Cosine, and Tangent Ratios

2.M4.4: Use the primary trigonometric ratios to determine the length of a missing side in a right triangle.

Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function

2.M4.5: Solve a problem that involves indirect and direct measurement, using the trigonometric ratios, the Pythagorean theorem and measurement instruments such as a clinometer or metre stick.

Cosine Function
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function

2.M4.6: Solve right triangles.

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

2.M4.7: Solve a problem that involves one or more right triangles by applying the primary trigonometric ratios or the Pythagorean theorem.

Circles
Cosine Function
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine Function
Sine, Cosine, and Tangent Ratios
Sum and Difference Identities for Sine and Cosine
Surface and Lateral Areas of Pyramids and Cones
Tangent Function

3: Roots and Powers

3.AN: Algebra and Number

3.AN1: Demonstrate an understanding of factors of whole numbers by determining the:

3.AN1.a: prime factors

Finding Factors with Area Models

3.AN1.b: greatest common factor

Finding Factors with Area Models

3.AN1.d: square root

Operations with Radical Expressions

3.AN1.1: Determine the prime factors of a whole number.

Finding Factors with Area Models

3.AN1.4: Solve problems that involve prime factors, greatest common factors, least common multiples, square roots or cube roots.

Finding Factors with Area Models
Operations with Radical Expressions
Simplifying Radical Expressions
Square Roots

3.AN1.5: Determine, concretely, whether a given whole number is a perfect square, a perfect cube or neither.

Square Roots

3.AN1.6: Determine, using a variety of strategies, the square root of a perfect square, and explain the process.

Operations with Radical Expressions
Simplifying Radical Expressions
Square Roots

3.AN2: Demonstrate an understanding of irrational numbers by:

3.AN2.1: Explain, using examples, the meaning of the index of a radical.

Operations with Radical Expressions
Square Roots

3.AN2.4: Determine an approximate value of a given irrational number.

Circumference and Area of Circles

3.AN2.7: Express a radical as a mixed radical in simplest form (limited to numerical radicands).

Operations with Radical Expressions
Simplifying Radical Expressions
Square Roots

3.AN2.8: Express a mixed radical as an entire radical (limited to numerical radicands).

Square Roots

3.AN3: Demonstrate an understanding of powers with integral and rational exponents.

3.AN3.3: Solve a problem that involves exponent laws or radicals.

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
Operations with Radical Expressions
Simplifying Radical Expressions

3.AN3.4: Explain, using patterns, why a⁻ⁿ = 1/aⁿ, a ≠ 0.

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

3.AN3.5: Apply the exponent laws:

3.AN3.5.a: (aᵐ)(aⁿ) = a ᵐ⁺ⁿ

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

3.AN3.5.b: (aᵐ) รท (aⁿ) = a ᵐ⁻ⁿ

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

3.AN3.5.c: (aᵐ)ⁿ = a ᵐⁿ

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

3.AN3.5.d: (ab)ᵐ= aᵐbᵐ

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

3.AN3.5.e: (a/b)ⁿ= aⁿ/bⁿ, b ≠ 0 to expressions with rational and variable bases and integral and rational exponents, and explain the reasoning.

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

3.AN3.6: Identify and correct errors in a simplification of an expression that involves powers.

Dividing Exponential Expressions
Multiplying Exponential Expressions
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

4: Factors and Products

4.AN: Algebra and Number

4.AN4: Demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials and trinomials), concretely, pictorially and symbolically.

4.AN4.2: Model the multiplication of two given binomials, concretely or pictorially, and record the process symbolically.

Modeling the Factorization of x2+bx+c

4.AN4.6: Generalize and explain a strategy for multiplication of polynomials.

Modeling the Factorization of x2+bx+c

4.AN5: Demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially and symbolically.

4.AN5.1: Explain, using examples, the relationship between multiplication and factoring of polynomials.

Factoring Special Products

4.AN5.2: Express a polynomial as a product of its factors.

Polynomials and Linear Factors
Quadratics in Factored Form

4.AN5.5: Model the factoring of a trinomial, concretely or pictorially, and record the process symbolically.

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

4.AN5.7: Factor a polynomial that is a difference of squares, and explain why it is a special case of trinomial factoring where b=0.

Factoring Special Products

5: Relations and Functions

5.RF: Relations and Functions

5.RF1: Interpret and explain the relationships among data, graphs and situations.

5.RF1.3: Explain why data points should or should not be connected on the graph for a given situation.

Absolute Value with Linear Functions
Introduction to Functions
Linear Functions
Points, Lines, and Equations
Quadratics in Polynomial Form
Slope

5.RF1.5: Determine, and express in a variety of ways, the domain and range of a graph, a set of ordered pairs or a table of values.

Introduction to Functions
Logarithmic Functions
Radical Functions

5.RF2: Demonstrate an understanding of relations and functions.

5.RF2.1: Represent a relation in a variety of ways.

Linear Functions

5.RF2.3: Determine if a set of ordered pairs represents a function.

Introduction to Functions
Linear Functions
Points, Lines, and Equations

5.RF2.4: Explain, using examples, why some relations are not functions but all functions are relations.

Introduction to Functions
Linear Functions
Points, Lines, and Equations

5.RF2.5: Sort a set of graphs as functions or non-functions.

Introduction to Functions
Linear Functions

5.RF4: Describe and represent linear relations, using:

5.RF4.b: ordered pairs

Linear Functions

5.RF4.d: graphs

Linear Functions

5.RF4.e: equations.

Linear Functions

5.RF4.f: equations.

Linear Functions

5.RF4.1: Match corresponding representations of linear relations.

Linear Functions

5.RF4.2: Determine whether a table of values or a set of ordered pairs represents a linear relation, and explain why or why not.

Compound Interest
Linear Functions
Points, Lines, and Equations
Slope-Intercept Form of a Line

5.RF4.3: Determine whether a graph represents a linear relation, and explain why or why not.

Absolute Value with Linear Functions
Arithmetic Sequences
Compound Interest
Exponential 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

5.RF4.4: Draw a graph given a set of ordered pairs and determine whether the relationship between the variables is linear.

Linear Functions

5.RF4.5: Determine whether an equation represents a linear relation, and explain why or why not.

Linear Functions

5.RF5: Determine the characteristics of the graphs of linear relations, including the:

5.RF5.b: rate of change

Cat and Mouse (Modeling with Linear Systems) - Metric
Slope

5.RF5.1: Determine the rate of change of the graph of a linear relation.

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

5.RF5.2: Determine the intercepts of the graph of a linear relation, and state the intercepts as values or ordered pairs.

Cat and Mouse (Modeling with Linear Systems) - Metric
Linear Functions
Logarithmic Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

5.RF5.4: Identify the graph that corresponds to a given rate of change and vertical intercept.

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

5.RF5.5: Identify the rate of change and vertical intercept that correspond to a given graph.

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

5.RF5.6: Solve a contextual problem that involves intercepts, rate of change, domain or range of a linear relation.

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

5.RF5.7: Sketch a linear relation that has one intercept, two intercepts or an infinite number of intercepts.

Cat and Mouse (Modeling with Linear Systems) - Metric
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

6: Linear Functions

6.RF: Relations and Functions

6.RF3: Demonstrate an understanding of slope with respect to:

6.RF3.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

6.RF3.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

6.RF3.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

6.RF3.d: parallel lines

Cat and Mouse (Modeling with Linear Systems) - Metric

6.RF3.2: Explain, using examples, slope as a 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

6.RF3.3: Solve a contexual problem involving slope.

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

6.RF3.4: Classify lines in a given set as having positive or negative slopes.

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

6.RF3.5: Explain the meaning of the slope of a horizontal or vertical line.

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

6.RF3.6: Draw a line, given its slope and a point on the line.

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

6.RF3.7: Determine another point on a line, given the slope and a point on the line.

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

6.RF3.8: Explain why the slope of a line can be determined by using any two points on that line.

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

6.RF3.9: Generalize and apply a rule for determining whether two lines are parallel or perpendicular.

Cat and Mouse (Modeling with Linear Systems) - Metric

6.RF6: Relate linear relations expressed in:

6.RF6.1: Express a linear relation in different forms, and compare their graphs.

Linear Functions
Points, Lines, and Equations

6.RF6.2: Generalize and explain strategies for graphing a linear relation in slope-intercept, general or slope-point form.

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

6.RF6.3: Graph, with and without technology, a linear relation given in slope-intercept, general or slope-point form, and explain the strategy used to create the graph.

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

6.RF6.4: Match a set of linear relations to their graphs.

Absolute Value with Linear Functions
Linear Functions
Point-Slope Form of a Line
Slope-Intercept Form of a Line
Solving Equations by Graphing Each Side
Standard Form of a Line

6.RF6.5: Rewrite a linear relation in either slope-intercept or general form.

Points, Lines, and Equations
Standard Form of a Line

6.RF7: Determine the equation of a linear relation, given:

6.RF7.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

6.RF7.b: a point and the slope

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

6.RF7.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

6.RF7.1: Determine the slope and y-intercept of a given linear relation from its graph, and write the equation in the form y = mx + b.

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

6.RF7.3: Write the equation of a linear relation, given the coordinates of two points on the line, and explain the reasoning.

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

6.RF7.4: Graph linear data generated from a context, and write the equation of the resulting line.

Slope-Intercept Form of a Line

6.RF7.5: Solve a problem, using the equation of a linear relation.

Absolute Value with Linear Functions
Linear Functions
Modeling and Solving Two-Step Equations
Solving Equations by Graphing Each Side
Standard Form of a Line

7: Systems of Linear Equations

7.RF: Relations and Functions

7.RF9: Solve problems that involve systems of linear equations in two variables, graphically and algebraically.

7.RF9.1: Model a situation, using a system of linear equations.

Cat and Mouse (Modeling with Linear Systems) - Metric
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)

7.RF9.2: Relate a system of linear equations to the context of a problem.

Cat and Mouse (Modeling with Linear Systems) - Metric
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)

7.RF9.3: Explain the meaning of the point of intersection of a system of linear equations.

Cat and Mouse (Modeling with Linear Systems) - Metric
Solving Linear Systems (Standard Form)

7.RF9.4: Determine and verify the solution of a system of linear equations graphically, with and without technology.

Cat and Mouse (Modeling with Linear Systems) - Metric
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

7.RF9.5: Solve a problem that involves a system of linear equations.

Cat and Mouse (Modeling with Linear Systems) - Metric
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

7.RF9.6: Determine and verify the solution of a system of linear equations algebraically.

Solving Equations by Graphing Each Side
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

7.RF9.8: Explain, using examples, why a system of equations may have no solution, one solution or an infinite number of solutions.

Cat and Mouse (Modeling with Linear Systems) - Metric
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: 9/24/2019

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