Grade: 8
Use concepts of rate, ratio, proportion and per cent to solve problems in meaningful contexts. [E, PS, T]
Calculate combined percentages in a variety of meaningful contexts. [CN, E, PS, T]
Describe, analyze and solve network problems; e.g., bus routes, a telephone exchange. [C, E, PS]

Grade: 9
Solve problems, using rational numbers in meaningful contexts. [CN, PS]
Use logic and divergent thinking to present mathematical arguments in solving problems. [C, PS, R]
Solve and verify firstdegree, singlevariable equations of forms, such as: ax=b+cx; a(x+b)=c, ax+b=cx+d, a(bx+c)=d(ex+f), a/x=b, where a, b, c, d, e and f are all rational numbers (with a focus on integers), and use equations of this type to model and solve problem situations. [C, PS, V]
Model and then solve given problem situations involving only one right triangle. [PS, T, V]
Calculate and apply the rate of volume to surface area to solve design problems in three dimensions. [PS, T, V]
Calculate and apply the rate of area to perimeter to solve design problems in two dimensions. [PS, T, V]
Recognize when, and explain why, two triangles are similar, and use the properties of similar triangles to solve problems. [C, PS, R, T]
Recognize when, and explain why, two triangles are congruent, and use the properties of congruent triangles to solve problems. [C, CN, PS, R, T]
Recognize and draw the locus of points in solving practical problems. [PS, T, V]

Grade: 10
Solve problems involving multiple steps and multiple operations, and accept that other methods may be equally valid. [PS] (513)
Use a variety of methods to solve problems, such as drawing a diagram, making a table, guessing and testing, using objects to model, making it simpler, looking for a pattern, using logical reasoning and working backward. [PS, R, T, V] (614)
Generalize a pattern arising from a problemsolving context, using mathematical expressions and equations, and verify by substitution. [C, CN, PS, R] (81, 91)
Solve and verify firstdegree, single variable equations of the form: ax=b+cx; a(x+b)=c; ax+b=cx+d; a(bx+c)=d(ex+f); a/x=b  where a, b, c, d, e and f are rational numbers (with a focus on integers); and use equations of this type to model and solve problem situations. [C, PS, V] (95)
Model and then solve given problem situations involving only one right triangle. [PS, T, V] (94)
Recognize when, and explain why, two triangles are similar; and use the properties of similar triangles to solve problems. [C, PS, R, T] (98)
Read the problem thoroughly.
Identify and clarify key components.
Restate the problem, using familiar terms.
Determine hidden assumptions.
Ask relevant questions.
Diagram or model the problem situation.
Formulate situations into identifiable problems.
Conduct an investigation.
Use estimation and approximation.
Develop equations or use formulae.
Use flow charts.
Make lists and charts.
Look for patterns.
Work backward.
Look for a simpler or related problem.
Make diagrams or models.
Use manipulatives.
Choose and sequence a series of mathematical operations.
Sketch the graph of a problem situation.
Establish procedures to gather and organize data.
Apply empirical or inductive processes.
Use geometric construction and measurement techniques.
Make and test a conjecture.
Apply selected strategies.
Present ideas clearly.
Document the solution process.
Use appropriate group behaviours.
Use calculators and computers.
Evaluate problemsolving strategies for effectiveness.
Alter or abandon nonproductive strategies.
Search for additional information.
Ask questions.
Be open to inspirations, intuitions and 'bright ideas'.
Determine the reasonableness of an answer.
Explain the solution in oral or written form.
Consider the possibility of additional solutions.
Search for other strategies and processes of solution.
Create and solve similar problems.
Note the characteristics that will be identifiable in similar problems.
Make a generalization.
Examine the assumptions made and simplifications and modifications used for accuracy, effectiveness and efficiency.
Solve problems involving the use of rates and unit rates.
Solve problems using proportions.
Solve problems that involve the use of percents.
Design and carry out a simple statistical project involving the collection, organization, presentation and analysis of data gathered from an appropriate sample.
Solve problems, using the properties of similar polygons.
Solve problems involving the relationships amongst intersecting and parallel lines and the angles they form to solve problems involving the measure of unknown angles.
Solve problems that can be represented by first degree equations in one variable.
Read the problem thoroughly.
Restate the problem, using familiar terms.
Determine hidden assumptions.
Ask relevant questions.
Diagram or model the problem situation.
Formulate situations into identifiable problems.
Conduct an investigation.
Use estimation and approximation.
Develop equations or use formulae.
Make lists and charts.
Look for patterns.
Work backward.
Break the problem into smaller parts.
Look for a simpler or related problem.
Make diagrams or models.
Use manipulatives.
Choose and sequence a series of mathematical operations.
Sketch the graph of a problem situation.
Establish procedures to gather and organize data.
Apply empirical or inductive processes.
Use geometric construction and measurement techniques.
Make and test a conjecture.
Apply selected strategies.
Present ideas clearly.
Document the solution process.
Use appropriate group behaviours.
Use calculators and computers.
Evaluate problemsolving strategies for effectiveness.
Alter or abandon nonproductive strategies.
Search for additional information.
Ask questions.
Be open to inspirations, intuitions and 'bright ideas'.
Determine the reasonableness of an answer.
Explain the solution, in oral or written form.
Consider the possibility of additional solutions.
Search for other strategies and processes of solution.
Create and solve similar problems.
Note the characteristics that will be identifiable in similar problems.
Make a generalization.
Examine the assumption made and simplifications and modifications used for accuracy, effectiveness and efficiency.
Select and apply appropriate instruments, units of measure (in SI and imperial systems) and measurement strategies to find lengths, areas and volumes. [E, PS, T]
Analyze the limitations of measuring instruments and measurement strategies, using the concepts of precision and accuracy. [C, R]
Solve problems involving length, area, volume, time, mass and rates derived from these. [C, E, PS]
Interpret drawings, and use the information to solve problems. [C, PS, V]
Determine the domain and range of a relation from its graph. [PS, V]
Determine the following characteristics of the graph of a linear function, given its equation in any of the forms y=mx+b, yy1=m(xx1), Ax+By+C=0, Ax + By = C: intercepts, slope, domain, range. [PS, V]
Use bestfit linear equations and their associated graphs to make predictions and solve problems. [C, CN, PS, T, V]
Interpret the correlation coefficient r and its limitations for varying problem situations, using relevant scatterplots. [C, R, V]
Determine the following characteristics of the graph of a quadratic function: vertex, domain and range, axis of symmetry, intercepts. [C, PS, T, V]
Collect experimental data, graph the data using technology, and represent the data with bestfit exponential or quadratic functions of the form: y = abx; y = ax2 + bx + c. [C, CN, PS, T, V]
Use bestfit exponential and quadratic functions and their associated graphs to make predictions and solve problems. [C, CN, PS, T, V]
Explain the significance of the parameters in the equations for exponential and quadratic functions of the form: y = abx _ parameters a, b; y = ax2 + bx + c _ parameters a, c. [C, CN, R, V]
Use expressions containing variables to describe problem contexts and solutions. [C, CN, PS, R]
Design and solve linear and nonlinear systems, in two variables, to model problem situations. [C, CN, PS, R, V]
Apply linear programming to find optimal solutions to decisionmaking problems. [C, PS, R, T, V]
Solve consumer problems, including: wages earned in various situations, property taxation, exchange rates, unit prices. [CN, E, PS, R, T]
Solve budget problems, using graphs and tables to communicate solutions. [C, PS, T, V]
Use properties of circles and polygons to solve design and layout problems. [CN, PS, V]
Design an appropriate measuring process or device to solve a problem. [E, PS, V]
Solve pathway problems, interpreting and applying any constraints. [PS, R]
Model and solve consumer and network problems, performing matrix operations and using algebraic solution strategies as needed. [CN, PS, T, V]
Solve problems using the probabilities of mutually exclusive and complementary events. [CN, PS, R]
Use technology to generate and graph sequences that model reallife phenomena. [PS, T, V]
Use dimensions and unit prices to solve problems involving perimeter, area and volume. [E, PS, V]
Solve problems involving estimation and cost for objects, shapes or processes when a design is given. [C, E, PS]
Use appropriate variables to design an object, shape, layout or process within a specified budget. [C, PS, R, V]
Use mathematical models to estimate the solutions to complex measurement problems. [E, V]
Patterns: Use expressions to represent general terms and sums for arithmetic growth, and apply these expressions to solve problems. [CN, PS, R, T]
Patterns: Generate number patterns exhibiting geometric growth. [E, R]
Relations and Functions: Determine the domain and range of a relation from its graph. [PS, V]
Relations and Functions: Determine the following characteristics of the graph of a linear function, given its equation: intercepts, slope, domain, range. [PS, V]
Number Operations: Communicate a set of instructions used to solve an arithmetic problem. [C]
Relations and Functions: Determine the following characteristics of the graph of a quadratic function: vertex, domain and range, axis of symmetry, intercepts. [C, PS, T, V]
Relations and Functions: Model realworld situations, using quadratic functions. [CN, PS]
Relations and Functions: Formulate and apply strategies to solve: absolute value equations, radical equations, rational equations, quadratic inequalities, polynomial inequalities. [CN, R, T, V]
3D Objects and 2D Shapes: Solve problems, using a variety of circle properties and relevant trigonometric ratios, and justify the solution strategy used. [PS, R, V]
Number Operations: Plot and describe financial data of exponential form. [C, T, V]
Patterns: Derive and apply expressions to represent general terms and sums for geometric growth and to solve problems. [CN, R, T]
Patterns: Connect geometric sequences to exponential functions over the natural numbers. [E, R, V]
Variables and Equations: Solve exponential equations having bases that are powers of one another. [E, R]
Variables and Equations: Use the laws of exponents and logarithms to: solve and verify exponential equations and identities, solve logarithmic equations, simplify logarithmic expressions. [R]
Relations and Equations: Graph and analyze an exponential function, using technology. [R, T, V]
Relations and Equations: Model, graph and apply exponential functions to solve problems. [PS, T, V]
Relations and Equations: Change functions from exponential form to logarithmic form and vice versa. [CN]
Relations and Equations: Use logarithms to model practical problems. [CN, PS, V]
Relations and Equations: Graph and analyze logarithmic functions with and without technology. [R, T, V]
Relations and Equations: Use sine and cosine functions to model and solve problems. [PS, R, V]

Grade: 11
Solve problems involving multiple steps and multiple operations, and accept that other methods may be equally valid. [PS] (513)
Use a variety of methods to solve problems, such as drawing a diagram, making a table, guessing and testing, using objects to model, making it simpler, looking for a pattern, using logical reasoning and working backward. [PS, R, T, V] (614)
Generalize a pattern arising from a problemsolving context, using mathematical expressions and equations, and verify by substitution. [C, CN, PS, R] (81, 91)
Solve and verify firstdegree, single variable equations of the form: ax=b+cx; a(x+b)=c; ax+b=cx+d; a(bx+c)=d(ex+f); a/x=b  where a, b, c, d, e and f are rational numbers (with a focus on integers); and use equations of this type to model and solve problem situations. [C, PS, V] (95)
Model and then solve given problem situations involving only one right triangle. [PS, T, V] (94)
Recognize when, and explain why, two triangles are similar; and use the properties of similar triangles to solve problems. [C, PS, R, T] (98)
Read the problem thoroughly.
Identify and clarify key components.
Restate the problem, using familiar terms.
Determine hidden assumptions.
Ask relevant questions.
Diagram or model the problem situation.
Formulate situations into identifiable problems.
Conduct an investigation.
Use estimation and approximation.
Develop equations or use formulae.
Use flow charts.
Make lists and charts.
Look for patterns.
Work backward.
Look for a simpler or related problem.
Make diagrams or models.
Use manipulatives.
Choose and sequence a series of mathematical operations.
Sketch the graph of a problem situation.
Establish procedures to gather and organize data.
Apply empirical or inductive processes.
Use geometric construction and measurement techniques.
Make and test a conjecture.
Apply selected strategies.
Present ideas clearly.
Document the solution process.
Use appropriate group behaviours.
Use calculators and computers.
Evaluate problemsolving strategies for effectiveness.
Alter or abandon nonproductive strategies.
Search for additional information.
Ask questions.
Be open to inspirations, intuitions and 'bright ideas'.
Determine the reasonableness of an answer.
Explain the solution in oral or written form.
Consider the possibility of additional solutions.
Search for other strategies and processes of solution.
Create and solve similar problems.
Note the characteristics that will be identifiable in similar problems.
Make a generalization.
Examine the assumptions made and simplifications and modifications used for accuracy, effectiveness and efficiency.
Solve problems involving the use of rates and unit rates.
Solve problems using proportions.
Solve problems that involve the use of percents.
Design and carry out a simple statistical project involving the collection, organization, presentation and analysis of data gathered from an appropriate sample.
Solve problems, using the properties of similar polygons.
Solve problems involving the relationships amongst intersecting and parallel lines and the angles they form to solve problems involving the measure of unknown angles.
Solve problems that can be represented by first degree equations in one variable.
Read the problem thoroughly.
Restate the problem, using familiar terms.
Determine hidden assumptions.
Ask relevant questions.
Diagram or model the problem situation.
Formulate situations into identifiable problems.
Conduct an investigation.
Use estimation and approximation.
Develop equations or use formulae.
Make lists and charts.
Look for patterns.
Work backward.
Break the problem into smaller parts.
Look for a simpler or related problem.
Make diagrams or models.
Use manipulatives.
Choose and sequence a series of mathematical operations.
Sketch the graph of a problem situation.
Establish procedures to gather and organize data.
Apply empirical or inductive processes.
Use geometric construction and measurement techniques.
Make and test a conjecture.
Apply selected strategies.
Present ideas clearly.
Document the solution process.
Use appropriate group behaviours.
Use calculators and computers.
Evaluate problemsolving strategies for effectiveness.
Alter or abandon nonproductive strategies.
Search for additional information.
Ask questions.
Be open to inspirations, intuitions and 'bright ideas'.
Determine the reasonableness of an answer.
Explain the solution, in oral or written form.
Consider the possibility of additional solutions.
Search for other strategies and processes of solution.
Create and solve similar problems.
Note the characteristics that will be identifiable in similar problems.
Make a generalization.
Examine the assumption made and simplifications and modifications used for accuracy, effectiveness and efficiency.
Select and apply appropriate instruments, units of measure (in SI and imperial systems) and measurement strategies to find lengths, areas and volumes. [E, PS, T]
Analyze the limitations of measuring instruments and measurement strategies, using the concepts of precision and accuracy. [C, R]
Solve problems involving length, area, volume, time, mass and rates derived from these. [C, E, PS]
Interpret drawings, and use the information to solve problems. [C, PS, V]
Determine the domain and range of a relation from its graph. [PS, V]
Determine the following characteristics of the graph of a linear function, given its equation in any of the forms y=mx+b, yy1=m(xx1), Ax+By+C=0, Ax + By = C: intercepts, slope, domain, range. [PS, V]
Use bestfit linear equations and their associated graphs to make predictions and solve problems. [C, CN, PS, T, V]
Interpret the correlation coefficient r and its limitations for varying problem situations, using relevant scatterplots. [C, R, V]
Determine the following characteristics of the graph of a quadratic function: vertex, domain and range, axis of symmetry, intercepts. [C, PS, T, V]
Collect experimental data, graph the data using technology, and represent the data with bestfit exponential or quadratic functions of the form: y = abx; y = ax2 + bx + c. [C, CN, PS, T, V]
Use bestfit exponential and quadratic functions and their associated graphs to make predictions and solve problems. [C, CN, PS, T, V]
Explain the significance of the parameters in the equations for exponential and quadratic functions of the form: y = abx _ parameters a, b; y = ax2 + bx + c _ parameters a, c. [C, CN, R, V]
Use expressions containing variables to describe problem contexts and solutions. [C, CN, PS, R]
Design and solve linear and nonlinear systems, in two variables, to model problem situations. [C, CN, PS, R, V]
Apply linear programming to find optimal solutions to decisionmaking problems. [C, PS, R, T, V]
Solve consumer problems, including: wages earned in various situations, property taxation, exchange rates, unit prices. [CN, E, PS, R, T]
Solve budget problems, using graphs and tables to communicate solutions. [C, PS, T, V]
Use properties of circles and polygons to solve design and layout problems. [CN, PS, V]
Design an appropriate measuring process or device to solve a problem. [E, PS, V]
Solve pathway problems, interpreting and applying any constraints. [PS, R]
Model and solve consumer and network problems, performing matrix operations and using algebraic solution strategies as needed. [CN, PS, T, V]
Solve problems using the probabilities of mutually exclusive and complementary events. [CN, PS, R]
Use technology to generate and graph sequences that model reallife phenomena. [PS, T, V]
Use dimensions and unit prices to solve problems involving perimeter, area and volume. [E, PS, V]
Solve problems involving estimation and cost for objects, shapes or processes when a design is given. [C, E, PS]
Use appropriate variables to design an object, shape, layout or process within a specified budget. [C, PS, R, V]
Use mathematical models to estimate the solutions to complex measurement problems. [E, V]
Patterns: Use expressions to represent general terms and sums for arithmetic growth, and apply these expressions to solve problems. [CN, PS, R, T]
Patterns: Generate number patterns exhibiting geometric growth. [E, R]
Relations and Functions: Determine the domain and range of a relation from its graph. [PS, V]
Relations and Functions: Determine the following characteristics of the graph of a linear function, given its equation: intercepts, slope, domain, range. [PS, V]
Number Operations: Communicate a set of instructions used to solve an arithmetic problem. [C]
Relations and Functions: Determine the following characteristics of the graph of a quadratic function: vertex, domain and range, axis of symmetry, intercepts. [C, PS, T, V]
Relations and Functions: Model realworld situations, using quadratic functions. [CN, PS]
Relations and Functions: Formulate and apply strategies to solve: absolute value equations, radical equations, rational equations, quadratic inequalities, polynomial inequalities. [CN, R, T, V]
3D Objects and 2D Shapes: Solve problems, using a variety of circle properties and relevant trigonometric ratios, and justify the solution strategy used. [PS, R, V]
Number Operations: Plot and describe financial data of exponential form. [C, T, V]
Patterns: Derive and apply expressions to represent general terms and sums for geometric growth and to solve problems. [CN, R, T]
Patterns: Connect geometric sequences to exponential functions over the natural numbers. [E, R, V]
Variables and Equations: Solve exponential equations having bases that are powers of one another. [E, R]
Variables and Equations: Use the laws of exponents and logarithms to: solve and verify exponential equations and identities, solve logarithmic equations, simplify logarithmic expressions. [R]
Relations and Equations: Graph and analyze an exponential function, using technology. [R, T, V]
Relations and Equations: Model, graph and apply exponential functions to solve problems. [PS, T, V]
Relations and Equations: Change functions from exponential form to logarithmic form and vice versa. [CN]
Relations and Equations: Use logarithms to model practical problems. [CN, PS, V]
Relations and Equations: Graph and analyze logarithmic functions with and without technology. [R, T, V]
Relations and Equations: Use sine and cosine functions to model and solve problems. [PS, R, V]

Grade: 12
Solve problems involving multiple steps and multiple operations, and accept that other methods may be equally valid. [PS] (513)
Use a variety of methods to solve problems, such as drawing a diagram, making a table, guessing and testing, using objects to model, making it simpler, looking for a pattern, using logical reasoning and working backward. [PS, R, T, V] (614)
Generalize a pattern arising from a problemsolving context, using mathematical expressions and equations, and verify by substitution. [C, CN, PS, R] (81, 91)
Solve and verify firstdegree, single variable equations of the form: ax=b+cx; a(x+b)=c; ax+b=cx+d; a(bx+c)=d(ex+f); a/x=b  where a, b, c, d, e and f are rational numbers (with a focus on integers); and use equations of this type to model and solve problem situations. [C, PS, V] (95)
Model and then solve given problem situations involving only one right triangle. [PS, T, V] (94)
Recognize when, and explain why, two triangles are similar; and use the properties of similar triangles to solve problems. [C, PS, R, T] (98)
Read the problem thoroughly.
Identify and clarify key components.
Restate the problem, using familiar terms.
Determine hidden assumptions.
Ask relevant questions.
Diagram or model the problem situation.
Formulate situations into identifiable problems.
Conduct an investigation.
Use estimation and approximation.
Develop equations or use formulae.
Use flow charts.
Make lists and charts.
Look for patterns.
Work backward.
Look for a simpler or related problem.
Make diagrams or models.
Use manipulatives.
Choose and sequence a series of mathematical operations.
Sketch the graph of a problem situation.
Establish procedures to gather and organize data.
Apply empirical or inductive processes.
Use geometric construction and measurement techniques.
Make and test a conjecture.
Apply selected strategies.
Present ideas clearly.
Document the solution process.
Use appropriate group behaviours.
Use calculators and computers.
Evaluate problemsolving strategies for effectiveness.
Alter or abandon nonproductive strategies.
Search for additional information.
Ask questions.
Be open to inspirations, intuitions and 'bright ideas'.
Determine the reasonableness of an answer.
Explain the solution in oral or written form.
Consider the possibility of additional solutions.
Search for other strategies and processes of solution.
Create and solve similar problems.
Note the characteristics that will be identifiable in similar problems.
Make a generalization.
Examine the assumptions made and simplifications and modifications used for accuracy, effectiveness and efficiency.
Solve problems involving the use of rates and unit rates.
Solve problems using proportions.
Solve problems that involve the use of percents.
Design and carry out a simple statistical project involving the collection, organization, presentation and analysis of data gathered from an appropriate sample.
Solve problems, using the properties of similar polygons.
Solve problems involving the relationships amongst intersecting and parallel lines and the angles they form to solve problems involving the measure of unknown angles.
Solve problems that can be represented by first degree equations in one variable.
Read the problem thoroughly.
Restate the problem, using familiar terms.
Determine hidden assumptions.
Ask relevant questions.
Diagram or model the problem situation.
Formulate situations into identifiable problems.
Conduct an investigation.
Use estimation and approximation.
Develop equations or use formulae.
Make lists and charts.
Look for patterns.
Work backward.
Break the problem into smaller parts.
Look for a simpler or related problem.
Make diagrams or models.
Use manipulatives.
Choose and sequence a series of mathematical operations.
Sketch the graph of a problem situation.
Establish procedures to gather and organize data.
Apply empirical or inductive processes.
Use geometric construction and measurement techniques.
Make and test a conjecture.
Apply selected strategies.
Present ideas clearly.
Document the solution process.
Use appropriate group behaviours.
Use calculators and computers.
Evaluate problemsolving strategies for effectiveness.
Alter or abandon nonproductive strategies.
Search for additional information.
Ask questions.
Be open to inspirations, intuitions and 'bright ideas'.
Determine the reasonableness of an answer.
Explain the solution, in oral or written form.
Consider the possibility of additional solutions.
Search for other strategies and processes of solution.
Create and solve similar problems.
Note the characteristics that will be identifiable in similar problems.
Make a generalization.
Examine the assumption made and simplifications and modifications used for accuracy, effectiveness and efficiency.
Select and apply appropriate instruments, units of measure (in SI and imperial systems) and measurement strategies to find lengths, areas and volumes. [E, PS, T]
Analyze the limitations of measuring instruments and measurement strategies, using the concepts of precision and accuracy. [C, R]
Solve problems involving length, area, volume, time, mass and rates derived from these. [C, E, PS]
Interpret drawings, and use the information to solve problems. [C, PS, V]
Determine the domain and range of a relation from its graph. [PS, V]
Determine the following characteristics of the graph of a linear function, given its equation in any of the forms y=mx+b, yy1=m(xx1), Ax+By+C=0, Ax + By = C: intercepts, slope, domain, range. [PS, V]
Use bestfit linear equations and their associated graphs to make predictions and solve problems. [C, CN, PS, T, V]
Interpret the correlation coefficient r and its limitations for varying problem situations, using relevant scatterplots. [C, R, V]
Determine the following characteristics of the graph of a quadratic function: vertex, domain and range, axis of symmetry, intercepts. [C, PS, T, V]
Collect experimental data, graph the data using technology, and represent the data with bestfit exponential or quadratic functions of the form: y = abx; y = ax2 + bx + c. [C, CN, PS, T, V]
Use bestfit exponential and quadratic functions and their associated graphs to make predictions and solve problems. [C, CN, PS, T, V]
Explain the significance of the parameters in the equations for exponential and quadratic functions of the form: y = abx _ parameters a, b; y = ax2 + bx + c _ parameters a, c. [C, CN, R, V]
Use expressions containing variables to describe problem contexts and solutions. [C, CN, PS, R]
Design and solve linear and nonlinear systems, in two variables, to model problem situations. [C, CN, PS, R, V]
Apply linear programming to find optimal solutions to decisionmaking problems. [C, PS, R, T, V]
Solve consumer problems, including: wages earned in various situations, property taxation, exchange rates, unit prices. [CN, E, PS, R, T]
Solve budget problems, using graphs and tables to communicate solutions. [C, PS, T, V]
Use properties of circles and polygons to solve design and layout problems. [CN, PS, V]
Design an appropriate measuring process or device to solve a problem. [E, PS, V]
Solve pathway problems, interpreting and applying any constraints. [PS, R]
Model and solve consumer and network problems, performing matrix operations and using algebraic solution strategies as needed. [CN, PS, T, V]
Solve problems using the probabilities of mutually exclusive and complementary events. [CN, PS, R]
Use technology to generate and graph sequences that model reallife phenomena. [PS, T, V]
Use dimensions and unit prices to solve problems involving perimeter, area and volume. [E, PS, V]
Solve problems involving estimation and cost for objects, shapes or processes when a design is given. [C, E, PS]
Use appropriate variables to design an object, shape, layout or process within a specified budget. [C, PS, R, V]
Use mathematical models to estimate the solutions to complex measurement problems. [E, V]
Patterns: Use expressions to represent general terms and sums for arithmetic growth, and apply these expressions to solve problems. [CN, PS, R, T]
Patterns: Generate number patterns exhibiting geometric growth. [E, R]
Relations and Functions: Determine the domain and range of a relation from its graph. [PS, V]
Relations and Functions: Determine the following characteristics of the graph of a linear function, given its equation: intercepts, slope, domain, range. [PS, V]
Number Operations: Communicate a set of instructions used to solve an arithmetic problem. [C]
Relations and Functions: Determine the following characteristics of the graph of a quadratic function: vertex, domain and range, axis of symmetry, intercepts. [C, PS, T, V]
Relations and Functions: Model realworld situations, using quadratic functions. [CN, PS]
Relations and Functions: Formulate and apply strategies to solve: absolute value equations, radical equations, rational equations, quadratic inequalities, polynomial inequalities. [CN, R, T, V]
3D Objects and 2D Shapes: Solve problems, using a variety of circle properties and relevant trigonometric ratios, and justify the solution strategy used. [PS, R, V]
Number Operations: Plot and describe financial data of exponential form. [C, T, V]
Patterns: Derive and apply expressions to represent general terms and sums for geometric growth and to solve problems. [CN, R, T]
Patterns: Connect geometric sequences to exponential functions over the natural numbers. [E, R, V]
Variables and Equations: Solve exponential equations having bases that are powers of one another. [E, R]
Variables and Equations: Use the laws of exponents and logarithms to: solve and verify exponential equations and identities, solve logarithmic equations, simplify logarithmic expressions. [R]
Relations and Equations: Graph and analyze an exponential function, using technology. [R, T, V]
Relations and Equations: Model, graph and apply exponential functions to solve problems. [PS, T, V]
Relations and Equations: Change functions from exponential form to logarithmic form and vice versa. [CN]
Relations and Equations: Use logarithms to model practical problems. [CN, PS, V]
Relations and Equations: Graph and analyze logarithmic functions with and without technology. [R, T, V]
Relations and Equations: Use sine and cosine functions to model and solve problems. [PS, R, V]
