Northwest Territories

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Skills available for Northwest Territories grade 11 math curriculum

Objectives are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practise that skill.

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M Measurement

  • M.1 Develop spatial sense and proportional reasoning.

    • M.1.1 Solve problems that involve the application of rates.

      • M.1.1.1 Interpret rates in a given context, such as the arts, commerce, the environment, medicine or recreation.

      • M.1.1.2 Solve a rate problem that requires the isolation of a variable.

      • M.1.1.3 Determine and compare rates and unit rates.

      • M.1.1.4 Make and justify a decision, using rates.

      • M.1.1.5 Represent a given rate pictorially.

      • M.1.1.6 Draw a graph to represent a rate.

      • M.1.1.7 Explain, using examples, the relationship between the slope of a graph and a rate.

      • M.1.1.8 Describe a context for a given rate or unit rate.

      • M.1.1.9 Identify and explain factors that influence a rate in a given context.

      • M.1.1.10 Solve a contextual problem that involves rates or unit rates.

    • M.1.2 Solve problems that involve scale diagrams, using proportional reasoning.

      • M.1.2.1 Explain, using examples, how scale diagrams are used to model a 2-D shape or a 3-D object.

      • M.1.2.2 Determine, using proportional reasoning, the scale factor, given one dimension of a 2-D shape or a 3-D object and its representation.

      • M.1.2.3 Determine, using proportional reasoning, an unknown dimension of a 2-D shape or a 3-D object, given a scale diagram or a model.

      • M.1.2.4 Draw, with or without technology, a scale diagram of a given 2-D shape, according to a specified scale factor (enlargement or reduction).

      • M.1.2.5 Solve a contextual problem that involves a scale diagram.

    • M.1.3 Demonstrate an understanding of the relationships among scale factors, areas, surface areas and volumes of similar 2-D shapes and 3-D objects.

      • M.1.3.1 Determine the area of a 2-D shape, given the scale diagram, and justify the reasonableness of the result.

      • M.1.3.2 Determine the surface area and volume of a 3-D object, given the scale diagram, and justify the reasonableness of the result.

      • M.1.3.3 Explain, using examples, the effect of a change in the scale factor on the area of a 2-D shape.

      • M.1.3.4 Explain, using examples, the effect of a change in the scale factor on the surface area of a 3-D object.

      • M.1.3.5 Explain, using examples, the effect of a change in the scale factor on the volume of a 3-D object.

      • M.1.3.6 Explain, using examples, the relationships among scale factor, area of a 2-D shape, surface area of a 3-D object and volume of a 3-D object.

      • M.1.3.7 Solve a spatial problem that requires the manipulation of formulas.

      • M.1.3.8 Solve a contextual problem that involves the relationships among scale factors, areas and volumes.

G Geometry

NL Number and Logic

  • NL.1 Develop number sense and logical reasoning.

    • NL.1.1 Analyze and prove conjectures, using inductive and deductive reasoning, to solve problems.

      • NL.1.1.1 Make conjectures by observing patterns and identifying properties, and justify the reasoning.

      • NL.1.1.2 Explain why inductive reasoning may lead to a false conjecture.

      • NL.1.1.3 Compare, using examples, inductive and deductive reasoning.

      • NL.1.1.4 Provide and explain a counterexample to disprove a given conjecture.

      • NL.1.1.5 Prove algebraic and number relationships such as divisibility rules, number properties, mental mathematics strategies or algebraic number tricks.

      • NL.1.1.6 Prove a conjecture, using deductive reasoning (not limited to two column proofs).

      • NL.1.1.7 Determine if a given argument is valid, and justify the reasoning.

      • NL.1.1.8 Identify errors in a given proof; e.g., a proof that ends with 2 = 1.

      • NL.1.1.9 Solve a contextual problem that involves inductive or deductive reasoning.

    • NL.1.2 Analyze puzzles and games that involve spatial reasoning, using problem-solving strategies.

      • NL.1.2.1 Determine, explain and verify a strategy to solve a puzzle or to win a game; e.g.,

        • NL.1.2.1.a guess and check

        • NL.1.2.1.b look for a pattern

        • NL.1.2.1.c make a systematic list

        • NL.1.2.1.d draw or model

        • NL.1.2.1.e eliminate possibilities

        • NL.1.2.1.f simplify the original problem

        • NL.1.2.1.g work backward

        • NL.1.2.1.h develop alternative approaches.

      • NL.1.2.2 Identify and correct errors in a solution to a puzzle or in a strategy for winning a game.

      • NL.1.2.3 Create a variation on a puzzle or a game, and describe a strategy for solving the puzzle or winning the game.

    • NL.1.3 Solve problems that involve operations on radicals and radical expressions with numerical and variable radicands (limited to square roots).

    • NL.1.4 Solve problems that involve radical equations (limited to square roots or cube roots).

      • NL.1.4.1 Determine any restrictions on values for the variable in a radical equation.

      • NL.1.4.2 Determine, algebraically, the roots of a radical equation, and explain the process used to solve the equation.

      • NL.1.4.3 Verify, by substitution, that the values determined in solving a radical equation are roots of the equation.

      • NL.1.4.4 Explain why some roots determined in solving a radical equation are extraneous.

      • NL.1.4.5 Solve problems by modelling a situation with a radical equation and solving the equation.

S Statistics

  • S.1 Develop statistical reasoning.

    • S.1.1 Demonstrate an understanding of normal distribution, including:

      • S.1.1.a standard deviation

      • S.1.1.b z-scores.

      • S.1.1.1 Explain, using examples, the meaning of standard deviation.

      • S.1.1.2 Calculate, using technology, the population standard deviation of a data set.

      • S.1.1.3 Explain, using examples, the properties of a normal curve, including the mean, median, mode, standard deviation, symmetry and area under the curve.

      • S.1.1.4 Determine if a data set approximates a normal distribution, and explain the reasoning.

      • S.1.1.5 Compare the properties of two or more normally distributed data sets.

      • S.1.1.6 Explain, using examples representing multiple perspectives, the application of standard deviation for making decisions in situations such as warranties, insurance or opinion polls.

      • S.1.1.7 Solve a contextual problem that involves the interpretation of standard deviation.

      • S.1.1.8 Determine, with or without technology, and explain the z-score for a given value in a normally distributed data set.

      • S.1.1.9 Solve a contextual problem that involves normal distribution.

    • S.1.2 Interpret statistical data, using:

      • S.1.2.a confidence intervals

      • S.1.2.b confidence levels

      • S.1.2.c margin of error.

      • S.1.2.1 Explain, using examples, how confidence levels, margin of error and confidence intervals may vary depending on the size of the random sample.

      • S.1.2.2 Explain, using examples, the significance of a confidence interval, margin of error or confidence level.

      • S.1.2.3 Make inferences about a population from sample data, using given confidence intervals, and explain the reasoning.

      • S.1.2.4 Provide examples from print or electronic media in which confidence intervals and confidence levels are used to support a particular position.

      • S.1.2.5 Interpret and explain confidence intervals and margin of error, using examples found in print or electronic media.

      • S.1.2.6 Support a position by analyzing statistical data presented in the media.

RF Relations and Functions

  • RF.1 Develop algebraic and graphical reasoning through the study of relations.

    • RF.1.1 Demonstrate an understanding of the characteristics of quadratic functions, including:

    • RF.1.2 Solve problems that involve quadratic equations.

      • RF.1.2.1 Determine, with or without technology, the intercepts of the graph of a quadratic function.

      • RF.1.2.2 Determine, by factoring, the roots of a quadratic equation, and verify by substitution.

      • RF.1.2.3 Determine, using the quadratic formula, the roots of a quadratic equation.

      • RF.1.2.4 Explain the relationships among the roots of an equation, the zeros of the corresponding function and the x-intercepts of the graph of the function.

      • RF.1.2.5 Explain, using examples, why the graph of a quadratic function may have zero, one or two x-intercepts.

      • RF.1.2.6 Express a quadratic equation in factored form, given the zeros of the corresponding quadratic function or the x-intercepts of the graph of the function.

      • RF.1.2.7 Solve a contextual problem by modelling a situation with a quadratic equation and solving the equation.

MRP Mathematics Research Project

  • MRP.1 Develop an appreciation of the role of mathematics in society.

    • MRP.1.1 Research and give a presentation on a historical event or an area of interest that involves mathematics.

      • MRP.1.1.1 Collect primary or secondary data (statistical or informational) related to the topic.

      • MRP.1.1.2 Assess the accuracy, reliability and relevance of the primary or secondary data collected by:

        • MRP.1.1.2.a identifying examples of bias and points of view

        • MRP.1.1.2.b identifying and describing the data collection methods

        • MRP.1.1.2.c determining if the data is relevant

        • MRP.1.1.2.d determining if the data is consistent with information obtained from other sources on the same topic.

      • MRP.1.1.3 Interpret data, using statistical methods if applicable.

      • MRP.1.1.4 Identify controversial issues, if any, and present multiple sides of the issues with supporting data.

      • MRP.1.1.5 Organize and present the research project, with or without technology.