Saskatchewan Foundational and Learning Objective

N9.1.3: powers with an exponent of zero

Dividing Exponential Expressions

Multiplying Exponential Expressions

N9.1.h: Apply the exponent laws to expressions involving powers, and determine the quantity represented by the expression, with or without the use of technology.

N9.1.k: Analyze a simplification of an expression involving powers for errors

Dividing Exponential Expressions

Multiplying Exponential Expressions

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

N9.2.1: comparing and ordering

Comparing and Ordering Decimals

Rational Numbers, Opposites, and Absolute Values

N9.2.2: relating to other types of numbers

Rational Numbers, Opposites, and Absolute Values

N9.2.3: solving situational questions.

N9.2.a: Order a given set of rational numbers, in fraction and decimal form, by placing them on a number line and explaining the reasoning used (e.g., 3/5, - 0.666, 4,? , 0.5,-5/8).

Comparing and Ordering Decimals

Rational Numbers, Opposites, and Absolute Values

N9.3.a: Develop a generalization about what type of number results from the squaring of a rational number.

N9.3.c: Determine the square root of a rational number that is a perfect square.

Simplifying Radical Expressions

Square Roots

N9.3.d: Determine the rational number for which a given rational number is its square root (e.g., is the square root of what rational number?).

N9.3.e: Explain and apply strategies involving benchmarks for determining an estimate of the square root of a rational number that is not a perfect square.

N9.3.f: Determine, with the use of technology, an approximate value for the square root of a rational number that is not a perfect square.

N9.3.g: Explain why the value shown by technology may only be an approximation of the square root of a rational number.

P9.1.1: graphing

P9.1.4: solving situational questions.

P9.1.b: Sort a set of graphs into representations of linear and nonlinear relations.

P9.1.d: Generalize strategies for determining if a given linear relation will have a graph that is horizontal, vertical, increasing, or decreasing.

Linear Functions

Point-Slope Form of a Line

Standard Form of a Line

P9.1.i: Solve situational questions by graphing linear relations and interpreting the resulting graphs.

P9.2.1: ax = b

Solving Equations by Graphing Each Side

Standard Form of a Line

P9.2.2: x/a= b, a ≠ 0

Solving Equations by Graphing Each Side

Standard Form of a Line

P9.2.3: ax + b = c

Solving Equations by Graphing Each Side

Solving Two-Step Equations

Standard Form of a Line

P9.2.4: x/a + b = c, a ≠ 0

Solving Equations by Graphing Each Side

Solving Two-Step Equations

Standard Form of a Line

P9.2.5: ax = b + cx

Solving Equations by Graphing Each Side

P9.2.6: a(x + b) = c

Solving Equations by Graphing Each Side

P9.2.7: ax + b = cx + d

Solving Equations by Graphing Each Side

P9.2.8: a(bx + c) = d(ex + f)

Solving Equations by Graphing Each Side

P9.2.9: a/x = b, x ≠ 0

Solving Equations by Graphing Each Side

Solving Two-Step Equations

Standard Form of a Line

P9.2.c: Write a linear equation to represent a particular situation.

Linear Inequalities in Two Variables

Solving Equations by Graphing Each Side

Standard Form of a Line

P9.2.d: Observe and describe a situation relevant to self, family, or community which could be represented by a linear equation.

Absolute Value with Linear Functions

Solving Equations by Graphing Each Side

Standard Form of a Line

P9.2.e: Write a linear equation representing the pattern in a given table of values and verify the equation by substituting values from the table.

Direct and Inverse Variation

Points, Lines, and Equations

P9.2.i: Solve a linear equation symbolically.

Solving Equations by Graphing Each Side

P9.2.j: Analyze the given solution for a linear equation that has resulted in an incorrect solution, and identify and explain the error(s) made.

Modeling and Solving Two-Step Equations

P9.2.k: Provide examples from the modern world in which linear equations are used and solved.

Absolute Value with Linear Functions

Solving Equations by Graphing Each Side

Solving Two-Step Equations

Standard Form of a Line

P9.3.1: solving inequalities

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Solving Linear Inequalities in One Variable

Systems of Linear Inequalities (Slope-intercept form)

P9.3.3: comparing

Systems of Linear Inequalities (Slope-intercept form)

P9.3.4: graphing.

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Solving Linear Inequalities in One Variable

Systems of Linear Inequalities (Slope-intercept form)

P9.3.a: Observe and describe situations relevant to self, family, or community, including First Nations and Métis communities, that involve inequalities and classify the inequality as being less than, greater than, less than or equal to, or greater than or equal to.

Systems of Linear Inequalities (Slope-intercept form)

P9.3.b: Verify whether or not a given rational number is part of the solution set for a linear inequality.

Solving Linear Inequalities in One Variable

P9.3.f: Compare and explain the process for solving a linear equation to the process for solving a linear inequality.

Linear Inequalities in Two Variables

P9.3.i: Graph the solution of a linear inequality on a number line.

Compound Inequalities

Exploring Linear Inequalities in One Variable

Solving Linear Inequalities in One Variable

P9.3.l: Solve a situational question involving a single variable linear inequality and graph the solution.

Compound Inequalities

Linear Inequalities in Two Variables

Systems of Linear Inequalities (Slope-intercept form)

P9.4.2: generalizing strategies for addition, subtraction, multiplication, and division

Addition and Subtraction of Functions

Addition of Polynomials

Dividing Polynomials Using Synthetic Division

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

P9.4.5: comparing for equivalency.

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

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

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

P9.4.d: Identify the variables, degree, number of terms, and coefficients, including the constant term, of a given simplified polynomial expression and explain the role or significance of each.

Addition of Polynomials

Dividing Polynomials Using Synthetic Division

Simplifying Algebraic Expressions II

P9.4.e: Identify the type of expression that is represented by a polynomial of degree 1.

Graphs of Polynomial Functions

P9.4.g: Critique the statement ?A binomial can never be a degree 2 polynomial?.

Dividing Polynomials Using Synthetic Division

P9.4.h: Write equivalent forms of a polynomial expression by interchanging terms or by decomposing terms, and justify the equivalence.

Simplifying Algebraic Expressions II

SS9.1.2: inscribed angles subtended by the same arc have the same measure

Chords and Arcs

Inscribed Angles

SS9.1.3: the measure of a central angle is twice the measure of an inscribed angle subtending the same arc

Chords and Arcs

Inscribed Angles

SS9.1.a: Observe and describe situations relevant to self, family, or community that involve circles, chords, central angles, inscribed angles, radii, arcs, and/or points of tangency.

SS9.1.c: Generalize, from personal explorations, the relationship between the measures of inscribed angles subtended by the same arc.

Chords and Arcs

Inscribed Angles

SS9.1.d: Generalize, from personal explorations, the relationship between the measure of a central angle and the measure of inscribed angles subtended by the same arc.

Chords and Arcs

Inscribed Angles

SS9.1.g: Describe examples of where First Nations and Métis, past and present, lifestyles and worldviews demonstrate one or more of the circle properties (e.g., tipi and medicine wheel).

SS9.1.h: Solve a situational question involving the application of one or more of the circle properties.

SS9.2.b: Analyze a composite 3-D object to identify areas of overlap and explain the impact of these areas on determining the surface area of the composite 3-D object.

Surface and Lateral Areas of Prisms and Cylinders

SS9.2.c: Critique the statement ?To find the surface area of a composite 3-D object, add together the surface areas of the individual 3-D objects from which the composite 3-D object is comprised?.

Surface and Lateral Areas of Prisms and Cylinders

SS9.2.d: Determine the surface area of composite 3-D objects.

Surface and Lateral Areas of Prisms and Cylinders

SS9.2.f: Give dimensions for a single 3-D object that will have the same surface area as a composite 3-D object.

Surface and Lateral Areas of Prisms and Cylinders

SS9.3.d: Explain how ratios and proportionality are related to similarity of polygons.

SS9.3.e: Draw a polygon similar to a given polygon and explain the strategies used.

SS9.3.f: Solve situational questions involving the similarity of polygons.

SS9.3.h: Explain how scale diagrams are related to similarity, ratios, and proportionality.

SS9.3.i: Draw a diagram to scale that represents an enlargement or reduction of a given 2-D shape and explain the strategies used.

SS9.3.j: Explain how to determine the scale factor for a given 2-D shape and an enlargement or reduction of the shape.

SS9.3.k: Verify whether or not a given diagram is a scale diagram of a 2-D shape and, if it is, identify the scale factor for the diagram.

SS9.3.l: Solve situational questions involving scale diagrams and scale factors.

SP9.1.8: population or sample on data collection.

Polling: City

Polling: Neighborhood

SP9.1.b: Provide examples to illustrate how bias, use of language, ethics, cost, time and timing, privacy, or cultural sensitivity may influence the data collected.

Polling: Neighborhood

Populations and Samples

SP9.1.c: Identify situations relevant to self, family, or community where a set of data was collected and classify each situation as involving a sample or the population.

Describing Data Using Statistics

Polling: City

Polling: Neighborhood

SP9.1.e: Provide an example of a question where a limitation precludes the use of a population and describe the limitation (e.g., too costly, not enough time, limited resources).

SP9.2.a: Devise a project plan related to a situation relevant to self, family, or community, that involves:

SP9.2.a.1: formulating a question for investigation

Correlation

Describing Data Using Statistics

Real-Time Histogram

SP9.2.a.2: choosing a data collection method that includes social considerations

Describing Data Using Statistics

Estimating Population Size

SP9.2.a.3: electing a population or a sample, and justifying the choice

Polling: City

Polling: Neighborhood

SP9.2.a.4: collecting the data

Describing Data Using Statistics

Estimating Population Size

SP9.2.a.5: displaying the collected data in an appropriate manner

Box-and-Whisker Plots

Correlation

Describing Data Using Statistics

Estimating Population Size

Stem-and-Leaf Plots

SP9.2.a.6: drawing conclusions to answer the question.

Estimating Population Size

Reaction Time 1 (Graphs and Statistics)

SP9.2.b: Create and apply a rubric to assess a project that includes the assessment of all requirements for the project.

Polling: City

Real-Time Histogram

SP9.2.c: Complete the project according to the plan, draw conclusions, and communicate findings to an audience.

Correlation

Reaction Time 1 (Graphs and Statistics)

SP9.3.b: Analyze the meaningfulness of a probability against the limitations of assumptions associated with that probability.

Probability Simulations

Theoretical and Experimental Probability

SP9.3.c: Provide examples of how a single probability could be used to support opposing positions.

Estimating Population Size

Theoretical and Experimental Probability

SP9.4.b: Compare the significance, representation, and use of probability and statistics for different First Nations and Métis peoples, and other cultures.

Estimating Population Size

Probability Simulations

Theoretical and Experimental Probability

Correlation last revised: 9/16/2020

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