CAMET

Skills available for CAMET grade 12 math curriculum

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CAMET Foundation for the Atlantic Canada Mathematics Curriculum CAMET Foundation for the Atlantic Canada Mathematics Curriculum

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10-12.4 Data Management and Probability

10-12.4.1 Students will solve problems involving the collection, display and analysis of data.
- 10-12.4.1.1 understand sampling issues and their role with respect to statistical claims
  - Identify biased samples (10-HH.3)
- 10-12.4.1.2 extend construction (both manually and via appropriate technology) of a wide variety of data displays
- 10-12.4.1.3 use curve fitting to determine the relationship between, and make predictions from, sets of data and be aware of bias in the interpretation of results
  - Scatter plots: line of best fit (10-I.7)
  - Identify biased samples (10-HH.3)
- 10-12.4.1.4 determine, interpret and apply as appropriate a wide variety of statistical measures and distributions
- 10-12.4.1.5 design and conduct relevant statistical experiments (e.g., projects with respect to current issues, career applications, a/o other disciplines) and analyze and communicate the results using a range of statistical arguments
- 10-12.4.1.6 test hypotheses using appropriate statistics
10-12.4.2 Students will represent and solve problems involving uncertainty.
- 10-12.4.2.1 design and conduct experiments a/o simulations to model and solve a wide variety of relevant probability problems, and interpret and judge the probabilistic arguments of others
- 10-12.4.2.2 build and apply formal concepts and techniques of theoretical probability (including the use of permutations and combinations as counting techniques)
- 10-12.4.2.3 understand the differences among, and relative merits of, theoretical, experimental and simulation techniques
- 10-12.4.2.4 relate probability and statistical situations
- 10-12.4.2.5 create and interpret discrete and continuous probability distributions and apply them in real-world situations

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10-12.1 Number Concepts/Number and Relationship Operations

10-12.1.1 Students will demonstrate number sense and apply number theory concepts.

10-12.1.1.1 demonstrate an understanding of number meanings with respect to the real numbers

10-12.1.1.2 order real numbers, represent them in multiple ways (including scientific notation) and apply appropriate representations to solve problems

10-12.1.1.3 demonstrate an understanding of the real number system and its subsystems by applying a variety of number theory concepts in relevant situations

10-12.1.1.4 explain and apply relationships among real and complex numbers

10-12.1.2 Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.

10-12.1.2.1 explain how algebraic and arithmetic operations are related, use them in problem-solving situations, and explain and demonstrate the power of mathematical symbolism

10-12.1.2.2 derive, analyze and apply computational procedures (algorithms) in situations involving all representations of real numbers

10-12.1.2.3 derive, analyze and apply algebraic procedures (including those involving algebraic expressions and matrices) in problem situations

10-12.1.2.4 apply estimation techniques to predict, and justify the reasonableness of, results in relevant problem situations involving real numbers

10-12.1.2.5 apply operations on complex numbers to solve problems

10-12.2 Patterns and Relations

10-12.2.1 Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.

10-12.2.1.1 model real-world problems using functions, equations, inequalities and discrete structures

10-12.2.1.2 represent functional relationships in multiple ways (e.g., written descriptions, tables, equations and graphs) and describe connections among these representations

10-12.2.1.3 interpret algebraic equations and inequalities geometrically and geometric relationships algebraically

10-12.2.1.4 solve problems involving relationships, using graphing technology as well as paper-and-pencil techniques

10-12.2.1.5 analyze and explain the behaviours, transformations and general properties of types of equations and relations

10-12.2.1.6 perform operations on and between functions

10-12.2.1.7 describe and explore the concept of continuity of a function

10-12.2.1.8 investigate limiting processes by examining infinite sequences and series

10-12.2.1.9 make connections among trigonometric functions, polar coordinates, complex numbers and series

10-12.3 Shape and Space

10-12.3.1 Students will demonstrate an understanding of and apply concepts and skills associated with measurement.

10-12.3.1.1 measure quantities indirectly, using techniques of algebra, geometry and trigonometry

10-12.3.1.2 determine measurements in a wide variety of problem situations and determine specified degrees of precision, accuracy and error of measurements

10-12.3.1.3 apply measurement formulas and procedures in a wide variety of contexts

10-12.3.1.4 demonstrate an understanding of the meaning of area under a curve

10-12.3.2 Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.

10-12.3.2.1 extend spatial sense in a variety of mathematical contexts

10-12.3.2.2 interpret and classify geometric figures, translate between synthetic (Euclidean) and coordinate representations, and apply geometric properties and relationships

10-12.3.2.3 analyze and apply Euclidean transformations, including representing and applying translations as vectors

10-12.3.2.4 represent problem situations with geometric models (including the use of trigonometric ratios and coordinate geometry) and apply properties of figures

10-12.3.2.5 make and test conjectures about, and deduce properties of and relationships between, 2- and 3-D figures in multiple contexts

10-12.3.2.6 demonstrate an understanding of the operation of axiomatic systems and the connections among reasoning, justification and proof

10-12.3.2.7 represent and apply vectors in three dimensions algebraically and geometrically

10-12.3.2.8 explore and apply, using multiple representations, circles, ellipses and parabolas and, in 3-D, spheres and ellipsoids

10-12.4 Data Management and Probability

10-12.4.1 Students will solve problems involving the collection, display and analysis of data.

10-12.4.1.1 understand sampling issues and their role with respect to statistical claims

10-12.4.1.2 extend construction (both manually and via appropriate technology) of a wide variety of data displays

10-12.4.1.3 use curve fitting to determine the relationship between, and make predictions from, sets of data and be aware of bias in the interpretation of results

10-12.4.1.4 determine, interpret and apply as appropriate a wide variety of statistical measures and distributions

10-12.4.1.5 design and conduct relevant statistical experiments (e.g., projects with respect to current issues, career applications, a/o other disciplines) and analyze and communicate the results using a range of statistical arguments

10-12.4.1.6 test hypotheses using appropriate statistics

10-12.4.2 Students will represent and solve problems involving uncertainty.

10-12.4.2.1 design and conduct experiments a/o simulations to model and solve a wide variety of relevant probability problems, and interpret and judge the probabilistic arguments of others

10-12.4.2.2 build and apply formal concepts and techniques of theoretical probability (including the use of permutations and combinations as counting techniques)

10-12.4.2.3 understand the differences among, and relative merits of, theoretical, experimental and simulation techniques

10-12.4.2.4 relate probability and statistical situations

10-12.4.2.5 create and interpret discrete and continuous probability distributions and apply them in real-world situations