### 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

1.M3.c: right prisms

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

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.

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.

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.

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.

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.

### 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.

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

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

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

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.

2.M4.6: Solve 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.

### 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

3.AN1.b: greatest common factor

3.AN1.d: square root

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

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

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

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

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

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

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

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

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

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

3.AN3.5: Apply the exponent laws:

3.AN3.5.a: (aᵐ)(aⁿ) = a ᵐ⁺ⁿ

3.AN3.5.b: (aᵐ) ÷ (aⁿ) = a ᵐ⁻ⁿ

3.AN3.5.c: (aᵐ)ⁿ = a ᵐⁿ

3.AN3.5.d: (ab)ᵐ= aᵐbᵐ

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.

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

### 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.

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

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.

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

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

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.

### 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.

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.

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

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

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

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

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

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

5.RF4.b: ordered pairs

5.RF4.d: graphs

5.RF4.e: equations.

5.RF4.f: equations.

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

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.

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

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

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

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

5.RF5.b: rate of change

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

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

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

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

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

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

### 6: Linear Functions

#### 6.RF: Relations and Functions

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

6.RF3.a: rise and run

6.RF3.b: line segments and lines

6.RF3.c: rate of change

6.RF3.d: parallel lines

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

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

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

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

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

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

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

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

6.RF6: Relate linear relations expressed in:

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

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

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.

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

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

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

6.RF7.a: a graph

6.RF7.b: a point and the slope

6.RF7.c: two points

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.

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

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

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

### 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.

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

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

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

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

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

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

Correlation last revised: 9/16/2020

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