Saskatchewan Foundational and Learning Objective

FP10.1.a: Develop, generalize, explain, and apply strategies for determining the greatest common factors or least common multiples.

Finding Factors with Area Models

FP10.1.c: Determine the prime factors of a whole number and explain the strategies used.

Finding Factors with Area Models

FP10.1.d: Analyze concretely, pictorially, or numerically and explain whether a whole number is a perfect square or a perfect cube.

Operations with Radical Expressions

Square Roots

FP10.1.e: Develop, generalize, explain, and apply strategies for determining the square root of a perfect square and the cube root of a perfect cube.

Operations with Radical Expressions

Simplifying Radical Expressions

Square Roots

FP10.1.g: 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

FP10.2.d: Order a set of Real numbers, including rational and irrational numbers, on a number line and explain the strategies used.

Comparing and Ordering Decimals

FP10.2.e: Express a radical as a mixed radical in simplest form (limited to numerical radicands).

Operations with Radical Expressions

Simplifying Radical Expressions

Square Roots

FP10.2.f: Express a mixed radical as an entire radical (limited to numerical radicands).

FP10.2.g: Explain, using examples, how changing the value of the index of a radical impacts the value of the radical.

Simplifying Radical Expressions

FP10.2.k: Extend and apply the exponent laws to powers with rational exponents (limited to expressions with rational and variable bases and integral and rational exponents):

FP10.2.k.1: a to the m power times a to the n power = a to the (m+n) power

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

Simplifying Algebraic Expressions II

FP10.2.k.2: a to the m power/ a to the n power = a to the (m-n) power, where a is not to equal 0

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

Simplifying Algebraic Expressions II

FP10.2.k.3: a to the m power to the n power = a to the mn power

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

Simplifying Algebraic Expressions II

FP10.2.k.4: ab to the m power = a to the m power times b to the n power

Exponents and Power Rules

Multiplying Exponential Expressions

Simplifying Algebraic Expressions II

FP10.2.k.5: a/b to the n power = a to the n power/b to the n power, where b is not equal to 0

Exponents and Power Rules

Multiplying Exponential Expressions

Simplifying Algebraic Expressions II

FP10.2.l: Analyze simplifications of expressions involving radicals and/or powers for errors.

Dividing Exponential Expressions

Multiplying Exponential Expressions

Operations with Radical Expressions

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Simplifying Radical Expressions

FP10.3.i: Analyze 3-D objects, their nets, and labelled diagrams to develop and generalize strategies and/or formulas for determining the surface area and volume of right cones, cylinders, prisms, and pyramids and composite objects.

Prisms and Cylinders

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

FP10.3.j: Solve, using personal strategies and/or formulas, situational questions related to surface area, volume, and dimensions of right cones, cylinders, prisms, and pyramids, and composite 3-D objects.

Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

FP10.4.a: Develop, generalize, explain, and apply relationships between the ratios of side lengths and angle sizes in similar right triangles.

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

FP10.4.c: Solve problems, with or without the use of technology, involving one or more right triangles by applying primary trigonometric ratios and/or the Pythagorean Theorem.

Cosine Function

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Sine Function

Sine, Cosine, and Tangent Ratios

Tangent Function

FP10.4.d: Create and solve problems that involve indirect and direct linear measurements by using the primary 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

FP10.5.d: Develop, generalize, explain, and apply a strategy for multiplying polynomials.

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

FP10.5.g: Explain, using concrete or visual models, how the processes of factoring and multiplication are related.

FP10.5.h: Develop (using concrete materials, pictures, or visualization), generalize, explain, and apply strategies for factoring and verifying the factors of binomials, including numerical binomial expressions (e.g., 32+20=4(8+5)).

FP10.5.i: Sort a set of polynomials according to the type(s) of factoring that could be applied to them.

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

FP10.5.j: Explain and apply strategies for determining whether given factors are those of a given polynomial.

Polynomials and Linear Factors

Quadratics in Factored Form

FP10.5.k: Develop, generalize, explain, and apply strategies for factoring a trinomial.

Factoring Special Products

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

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

FP10.5.m: Explain how differences of squares can be factored using trinomial factoring strategies.

FP10.6.a: Provide and discuss examples of different types of relations relevant to one?s life, family, or community (e.g., person A is the mother of person B, or person A is a brother of person B.).

FP10.6.b: Explain, by providing situational and graphical examples, the relationship between the categories of ?relations? and ?functions?.

Introduction to Functions

Linear Functions

FP10.6.e: Explain why data points should or should not be connected on the graph for a situation.

Absolute Value with Linear Functions

Introduction to Functions

Linear Functions

Points, Lines, and Equations

Quadratics in Polynomial Form

Slope

FP10.6.f: Provide and explain examples of situations that could be represented by a given graph.

Exponential Functions

Introduction to Exponential Functions

Introduction to Functions

Linear Functions

Points, Lines, and Equations

Quadratics in Factored Form

Quadratics in Polynomial Form

FP10.6.g: Sketch a graph to represent a situation presented orally or in writing.

Exponential Functions

Introduction to Exponential Functions

Introduction to Functions

Linear Functions

Points, Lines, and Equations

Quadratics in Factored Form

Quadratics in Polynomial Form

FP10.6.h: 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

FP10.6.i: Generalize, explain, and apply strategies for determining whether a set of ordered pairs or a graph represents a function.

Introduction to Functions

Linear Functions

FP10.7.a: Provide examples, relevant to self, family, or community, to explain the importance of slope.

Cat and Mouse (Modeling with Linear Systems) - Metric

Slope-Intercept Form of a Line

FP10.7.b: Illustrate and explain, using examples relevant to self, family, or community, how slope is rate of change.

Cat and Mouse (Modeling with Linear Systems) - Metric

Slope-Intercept Form of a Line

FP10.7.d: Classify lines in a given set as having positive or negative slopes, and explain how the sign of the slope affects the interpretation or meaning of the slope.

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

FP10.7.e: Explain the meaning of zero or slopes with no Real value.

Slope-Intercept Form of a Line

FP10.7.f: Explain why the slope of a straight line can be determined by using any two distinct 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

FP10.7.g: 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

FP10.7.h: 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

FP10.7.i: Generalize, explain, and apply strategies for determining whether two lines are parallel or perpendicular.

Cat and Mouse (Modeling with Linear Systems) - Metric

FP10.7.j: Apply knowledge and skills related to slope to solve situational questions relevant to self, family, and community (e.g., determine the slopes of the poles in a tepee and the impact of changing the slopes on the dimensions and strength of the tepee).

Cat and Mouse (Modeling with Linear Systems) - Metric

Slope-Intercept Form of a Line

FP10.8.b: Explain, using examples, the impact of the domain of a linear function on the graph of the function (e.g., if the domain is not all Real numbers, then the graph will not show a solid line).

FP10.8.d: Analyze situations, graphs, tables of values, equations, or sets of ordered pairs to determine if the relationship described is linear.

Absolute Value with Linear Functions

Arithmetic Sequences

Compound Interest

Exponential Functions

Linear Functions

Points, Lines, and Equations

Slope-Intercept Form of a Line

Solving Equations by Graphing Each Side

FP10.8.e: Match corresponding types of representations of linear relations (e.g., situations, graphs, tables of values, equations, and sets of ordered pairs).

Absolute Value with Linear Functions

Arithmetic Sequences

Compound Interest

Exponential Functions

Linear Functions

Points, Lines, and Equations

Slope-Intercept Form of a Line

Solving Equations by Graphing Each Side

FP10.8.f: Develop, generalize, explain, and apply strategies for determining the intercepts (as values and ordered pairs) of a linear relation from its graph.

Absolute Value with Linear Functions

Cat and Mouse (Modeling with Linear Systems) - Metric

Exponential Functions

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

FP10.8.g: Determine the slope, domain, and range of the graph of a linear relation.

Absolute Value with Linear Functions

Cat and Mouse (Modeling with Linear Systems) - Metric

Compound Interest

Exponential Functions

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Solving Equations by Graphing Each Side

Standard Form of a Line

FP10.8.h: Sketch examples of linear relations to demonstrate the number of x or y intercepts possible for any line.

Absolute Value with Linear Functions

Cat and Mouse (Modeling with Linear Systems) - Metric

Exponential Functions

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

FP10.8.i: Match, with explanation, slopes and y-intercepts to graphs of linear relations.

Absolute Value with Linear Functions

Cat and Mouse (Modeling with Linear Systems) - Metric

Compound Interest

Exponential Functions

Linear Functions

Points, Lines, and Equations

Slope-Intercept Form of a Line

Solving Equations by Graphing Each Side

FP10.8.j: Solve a situational question that involves the intercepts, slope, domain, or range of a linear relation.

Absolute Value with Linear Functions

Cat and Mouse (Modeling with Linear Systems) - Metric

Compound Interest

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Solving Equations by Graphing Each Side

Standard Form of a Line

FP10.8.k: Express the equation of a linear relation in different forms (including the slope-intercept or general form) and compare the graphs of the linear relations.

Absolute Value with Linear Functions

Points, Lines, and Equations

Slope-Intercept Form of a Line

FP10.8.l: Generalize, explain, and apply strategies for drawing or sketching the graph of a linear relation in slope-intercept, general, or slope-point form, or function notation.

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

FP10.8.m: 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

FP10.9.a: Develop, generalize, explain, and apply strategies for writing an equation for a linear relation using data obtained from a graph.

Absolute Value with Linear Functions

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

FP10.9.b: Develop, generalize, explain, and apply strategies for writing an equation for a linear relation when given:

FP10.9.b.1: a point that satisfies the relation and the slope of the relation

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Standard Form of a Line

FP10.9.b.2: two points that satisfy the relation

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

FP10.9.c: Compare and critique the structure and purposes of different forms of linear relations, including y=mx+b, Ax+By=C, and y-y1=m(x-x1) (e.g., there is no way to write a vertical linear relation in the form y = mx+b).

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

FP10.9.d: Graph and write equations for linear data generated within an experiment or collected from a situation.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

FP10.9.e: Apply knowledge and skills of linear relations and their equations to solve situational questions.

Absolute Value with Linear Functions

Compound Interest

Slope-Intercept Form of a Line

Solving Equations by Graphing Each Side

Standard Form of a Line

FP10.10.a: Match, with justification, situations and systems of linear equations.

Cat and Mouse (Modeling with Linear Systems) - Metric

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

FP10.10.b: Sketch, describe, provide and explain situational examples of the different ways that the graphs of two linear equations (two variables) can intersect and explain the meaning of the points of intersection.

Cat and Mouse (Modeling with Linear Systems) - Metric

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

FP10.10.c: Develop, generalize, explain, and apply strategies for solving systems of equations graphically, with and without the use of technology and verify the 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)

FP10.10.d: Develop, generalize, explain, and apply strategies, including verification of solutions, for solving systems of equations algebraically.

Solving Equations by Graphing Each Side

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

FP10.10.f: Apply knowledge and skills with systems of linear equations to solve situational questions.

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

Correlation last revised: 9/16/2020

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