CAMET

Skills available for CAMET grade 9 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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9. Number Concepts/Number and Relationship Operations

9.A Students will demonstrate number sense and apply number theory concepts.
- 9.A1 solve problems involving square root and principal square root
  - Square roots of perfect squares (9-A.6)
  - Square roots of fractions and decimals (9-A.7)
- 9.A2 graph, and write in symbols and in words, the solution set for equations and inequalities involving integers and other real numbers
- 9.A3 demonstrate an understanding of the meaning and uses of irrational numbers
  - Classify numbers (9-A.1)
- 9.A4 demonstrate an understanding of the interrelationships of subsets of real numbers
  - Classify numbers (9-A.1)
- 9.A5 compare and order real numbers
- 9.A6 represent problem situations using matrices
9.B Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.
- 9.B1 model, solve, and create problems involving real numbers
- 9.B2 add, subtract, multiply, and divide rational numbers in fractional and decimal forms, using the most appropriate method
- 9.B3 apply the order of operations in rational number computations
  - Evaluate numerical expressions involving integers (9-B.2)
  - Evaluate numerical expressions involving rational numbers (9-B.8)
- 9.B4 demonstrate an understanding of, and apply the exponent laws for, integral exponents
- 9.B5 model, solve, and create problems involving numbers expressed in scientific notation
- 9.B6 determine the reasonableness of results in problem situations involving square roots, rational numbers, and numbers written in scientific notation
  - Estimate square roots (9-A.8)
- 9.B7 model, solve, and create problems involving the matrix operations of addition, subtraction, and scalar multiplication
- 9.B8 add and subtract polynomial expressions symbolically to solve problems
- 9.B9 factor algebraic expressions with common monomial factors, concretely, pictorially, and symbolically
  - Divide a polynomial by a monomial (9-V.8)
- 9.B10 recognize that the dimensions of a rectangular area model of a polynomial are its factors
  - Multiply monomials to find area (9-U.3)
  - Multiply polynomials to find area (9-V.7)
- 9.B11 find products of two monomials, a monomial and a polynomial, and two binomials, concretely, pictorially, and symbolically
- 9.B12 find quotients of polynomials with monomial divisors
  - Divide a polynomial by a monomial (9-V.8)
- 9.B13 evaluate polynomial expressions
- 9.B14 demonstrate an understanding of the applicability of commutative, associative, distributive, identity, and inverse properties to operations involving algebraic expressions
- 9.B15 select and use appropriate strategies in problem situations

9. Patterns and Relations

9.C Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.
- 9.C1 represent patterns and relationships in a variety of formats and use these representations to predict and justify unknown values
- 9.C2 interpret graphs that represent linear and non-linear data
- 9.C3 construct and analyse tables and graphs to describe how changes in one quantity affect a related quantity
  - Complete a function table from an equation (9-Q.9)
  - Slope-intercept form: write an equation from a table (9-S.9)
- 9.C4 determine the equations of lines by obtaining their slopes and y-intercepts from graphs, and sketch graphs of equations using y-intercepts and slopes
  - Slope-intercept form: graph an equation (9-S.6)
  - Slope-intercept form: write an equation from a graph (9-S.7)
- 9.C5 explain the connections among different representations of patterns and relationships
  - Relations: convert between tables, graphs, mappings and lists of points (9-Q.1)
- 9.C6 solve single-variable equations algebraically, and verify the solutions
- 9.C7 solve first-degree single-variable inequalities algebraically, verify the solutions, and display them on number lines
- 9.C8 solve and create problems involving linear equations and inequalities

9. Shape and Space

9.D Students will demonstrate an understanding of and apply concepts and skills associated with measurement.
- 9.D1 solve indirect measurement problems by connecting rates and slopes
  - Solve proportions: word problems (9-C.6)
  - Scale drawings: word problems (9-C.7)
- 9.D2 solve measurement problems involving conversion among SI units
- 9.D3 relate the volumes of pyramids and cones to the volumes of corresponding prisms and cylinders
  - Volume of prisms and pyramids (9-E.10)
  - Volume of cones and cylinders (9-E.11)
- 9.D4 estimate, measure, and calculate dimensions, volumes, and surface areas of pyramids, cones, and spheres in problem situations
- 9.D5 demonstrate an understanding of and apply proportions within similar triangles
  - Similar triangles and indirect measurement (9-E.18)
9.E Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.
- 9.E1 investigate, and demonstrate an understanding of, the minimum sufficient conditions to produce unique triangles
  - Congruence statements and corresponding parts (8-Q.12)
  - Similar and congruent figures (8-R.1)
- 9.E2 investigate, and demonstrate an understanding of, the properties of, and the minimum sufficient conditions to, guarantee congruent triangles
  - Congruence statements and corresponding parts (8-Q.12)
  - Similar and congruent figures (8-R.1)
- 9.E3 make informal deductions, using congruent triangle and angle properties
  - Side lengths and angle measures of congruent figures (8-Q.11)
  - Congruence statements and corresponding parts (8-Q.12)
- 9.E4 demonstrate an understanding of and apply the properties of similar triangles
  - Similar figures: side lengths and angle measures (9-E.17)
  - Similar triangles and indirect measurement (9-E.18)
- 9.E5 relate congruence and similarity of triangles
  - Similar and congruent figures (8-R.1)
- 9.E6 use mapping notation to represent transformations of geometric figures, and interpret such notations
  - Dilations and scale factors (9-E.26)
- 9.E7 analyse and represent combinations of transformations, using mapping notation
  - Dilations and scale factors (9-E.26)
- 9.E8 investigate, determine, and apply the effects of transformations of geometric figures on congruence, similarity, and orientation
  - Identify reflections, rotations and translations (9-E.23)

9. Data Management and Probability

9.F Students will solve problems involving the collection, display and analysis of data.
- 9.F1 describe characteristics of possible relationships shown in scatterplots
  - Interpret a scatter plot (9-P.6)
- 9.F2 sketch lines of best fit and determine their equations
  - Scatter plots: line of best fit (9-P.7)
- 9.F3 sketch curves of best fit for relationships that appear to be non-linear
- 9.F4 select, defend, and use the most appropriate methods for displaying data
  - Choose the best type of graph (8-AA.18)
  - Create bar graphs, line graphs and histograms (9-P.2)
- 9.F5 draw inferences and make predictions based on data analysis and data displays
- 9.F6 demonstrate an understanding of the role of data management in society
- 9.F7 evaluate arguments and interpretations that are based on data analysis
9.G Students will represent and solve problems involving uncertainty.
- 9.G1 make predictions of probabilities involving dependent and independent events by designing and conducting experiments and simulations
  - Experimental probability (9-X.2)
  - Identify independent and dependent events (9-X.4)
- 9.G2 determine theoretical probabilities of independent and dependent events
- 9.G3 demonstrate an understanding of how experimental and theoretical probabilities are related
  - Theoretical probability (9-X.1)
  - Experimental probability (9-X.2)
- 9.G4 recognize and explain why decisions based on probabilities may be combinations of theoretical calculations, experimental results, and subjective judgments

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9. Number Concepts/Number and Relationship Operations

9.A Students will demonstrate number sense and apply number theory concepts.

9.A1 solve problems involving square root and principal square root

9.A2 graph, and write in symbols and in words, the solution set for equations and inequalities involving integers and other real numbers

9.A3 demonstrate an understanding of the meaning and uses of irrational numbers

9.A4 demonstrate an understanding of the interrelationships of subsets of real numbers

9.A5 compare and order real numbers

9.A6 represent problem situations using matrices

9.B Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.

9.B1 model, solve, and create problems involving real numbers

9.B2 add, subtract, multiply, and divide rational numbers in fractional and decimal forms, using the most appropriate method

9.B3 apply the order of operations in rational number computations

9.B4 demonstrate an understanding of, and apply the exponent laws for, integral exponents

9.B5 model, solve, and create problems involving numbers expressed in scientific notation

9.B6 determine the reasonableness of results in problem situations involving square roots, rational numbers, and numbers written in scientific notation

9.B7 model, solve, and create problems involving the matrix operations of addition, subtraction, and scalar multiplication

9.B8 add and subtract polynomial expressions symbolically to solve problems

9.B9 factor algebraic expressions with common monomial factors, concretely, pictorially, and symbolically

9.B10 recognize that the dimensions of a rectangular area model of a polynomial are its factors

9.B11 find products of two monomials, a monomial and a polynomial, and two binomials, concretely, pictorially, and symbolically

9.B12 find quotients of polynomials with monomial divisors

9.B13 evaluate polynomial expressions

9.B14 demonstrate an understanding of the applicability of commutative, associative, distributive, identity, and inverse properties to operations involving algebraic expressions

9.B15 select and use appropriate strategies in problem situations

9. Patterns and Relations

9.C Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.

9.C1 represent patterns and relationships in a variety of formats and use these representations to predict and justify unknown values

9.C2 interpret graphs that represent linear and non-linear data

9.C3 construct and analyse tables and graphs to describe how changes in one quantity affect a related quantity

9.C4 determine the equations of lines by obtaining their slopes and y-intercepts from graphs, and sketch graphs of equations using y-intercepts and slopes

9.C5 explain the connections among different representations of patterns and relationships

9.C6 solve single-variable equations algebraically, and verify the solutions

9.C7 solve first-degree single-variable inequalities algebraically, verify the solutions, and display them on number lines

9.C8 solve and create problems involving linear equations and inequalities

9. Shape and Space

9.D Students will demonstrate an understanding of and apply concepts and skills associated with measurement.

9.D1 solve indirect measurement problems by connecting rates and slopes

9.D2 solve measurement problems involving conversion among SI units

9.D3 relate the volumes of pyramids and cones to the volumes of corresponding prisms and cylinders

9.D4 estimate, measure, and calculate dimensions, volumes, and surface areas of pyramids, cones, and spheres in problem situations

9.D5 demonstrate an understanding of and apply proportions within similar triangles

9.E Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.

9.E1 investigate, and demonstrate an understanding of, the minimum sufficient conditions to produce unique triangles

9.E2 investigate, and demonstrate an understanding of, the properties of, and the minimum sufficient conditions to, guarantee congruent triangles

9.E3 make informal deductions, using congruent triangle and angle properties

9.E4 demonstrate an understanding of and apply the properties of similar triangles

9.E5 relate congruence and similarity of triangles

9.E6 use mapping notation to represent transformations of geometric figures, and interpret such notations

9.E7 analyse and represent combinations of transformations, using mapping notation

9.E8 investigate, determine, and apply the effects of transformations of geometric figures on congruence, similarity, and orientation

9. Data Management and Probability

9.F Students will solve problems involving the collection, display and analysis of data.

9.F1 describe characteristics of possible relationships shown in scatterplots

9.F2 sketch lines of best fit and determine their equations

9.F3 sketch curves of best fit for relationships that appear to be non-linear

9.F4 select, defend, and use the most appropriate methods for displaying data

9.F5 draw inferences and make predictions based on data analysis and data displays

9.F6 demonstrate an understanding of the role of data management in society

9.F7 evaluate arguments and interpretations that are based on data analysis

9.G Students will represent and solve problems involving uncertainty.

9.G1 make predictions of probabilities involving dependent and independent events by designing and conducting experiments and simulations

9.G2 determine theoretical probabilities of independent and dependent events

9.G3 demonstrate an understanding of how experimental and theoretical probabilities are related

9.G4 recognize and explain why decisions based on probabilities may be combinations of theoretical calculations, experimental results, and subjective judgments

7-9.1 Number Concepts/Number and Relationship Operations

7-9.1.1 Students will demonstrate number sense and apply number theory concepts.

7-9.1.1.1 demonstrate an understanding of number meanings with respect to integers and rational and irrational numbers, and explore their use in meaningful situations

7-9.1.1.2 read, write and order integers, rational numbers and common irrational numbers

7-9.1.1.3 represent numbers in multiple ways (including via exponents, ratios, percents and proportions) and apply appropriate representations to solve problems

7-9.1.1.4 apply number theory concepts in relevant situations and explain the interrelated structure of whole numbers, integers and rational numbers

7-9.1.2 Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.

7-9.1.2.1 explore and explain, using physical models, the connections between arithmetic and algebraic operations

7-9.1.2.2 model problem situations involving rational numbers and integers

7-9.1.2.3 apply computational procedures (algorithms) in a wide variety of problem situations involving fractions, ratios, percents, proportions, integers and exponents

7-9.1.2.4 apply operations to algebraic expressions to represent and solve relevant problems

7-9.1.2.5 apply estimation techniques to predict, and justify the reasonableness of, results in relevant problem situations involving rational numbers and integers

7-9.1.2.6 select and use appropriate computational techniques in given situations and justify the choice