CAMET

Skills available for CAMET grade 8 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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8 Number Concepts/Number and Relationship Operations

8.A Students will demonstrate number sense and apply number theory concepts.
- 8.A1 model and link various representations of square root of a number
  - Relationship between squares and square roots (8-G.13)
- 8.A2 recognize perfect squares between 1 and 144 and apply patterns related to them
  - Square roots of perfect squares (8-G.11)
- 8.A3 distinguish between an exact square root of a number and its decimal approximation
  - Estimate square roots (8-G.12)
- 8.A4 find the square root of any number, using an appropriate method
  - Evaluate radical expressions (8-W.8)
- 8.A5 demonstrate and explain the meaning of negative exponents for base ten
- 8.A6 represent any number written in scientific notation in standard form, and vice versa
  - Convert between standard and scientific notation (8-H.1)
- 8.A7 compare and order integers and positive and negative rational numbers (in decimal and fractional forms)
- 8.A8 represent and apply fractional percents, and percents greater than 100, in fraction or decimal form, and vice versa
- 8.A9 solve proportion problems that involve equivalent ratios and rates
8.B Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.
- 8.B1 demonstrate an understanding of the properties of operations with integers and positive and negative rational numbers (in decimal and fractional forms)
- 8.B2 solve problems involving proportions, using a variety of methods
- 8.B3 create and solve problems which involve finding a, b, or c in the relationship A% of b = c, using estimation and calculation
  - Solve percent equations (8-K.9)
- 8.B4 apply percentage increase and decrease in problem situations
  - Percent of change (8-K.10)
  - Percent of change: word problems (8-K.11)
- 8.B5 add and subtract fractions concretely, pictorially, and symbolically
  - Add and subtract rational numbers (8-F.2)
  - Add and subtract rational numbers: word problems (8-F.3)
- 8.B6 add and subtract fractions mentally, when appropriate
  - Add and subtract rational numbers (8-F.2)
  - Add and subtract rational numbers: word problems (8-F.3)
- 8.B7 multiply fractions concretely, pictorially, and symbolically
  - Multiply and divide rational numbers (8-F.5)
  - Multiply and divide rational numbers: word problems (8-F.6)
- 8.B8 divide fractions concretely, pictorially, and symbolically
  - Multiply and divide rational numbers (8-F.5)
  - Multiply and divide rational numbers: word problems (8-F.6)
- 8.B9 estimate and mentally compute products and quotients involving fractions
  - Estimate products and quotients of fractions and mixed numbers (7-J.8)
- 8.B10 apply the order of operations to fraction computations, using both pencil and paper and the calculator
  - Evaluate numerical expressions involving rational numbers (8-F.8)
- 8.B11 model, solve, and create problems involving fractions in meaningful contexts
  - Add and subtract rational numbers: word problems (8-F.3)
  - Multiply and divide rational numbers: word problems (8-F.6)
- 8.B12 add, subtract, multiply, and divide positive and negative decimal numbers with and without the calculator
  - Add and subtract rational numbers (8-F.2)
  - Multiply and divide rational numbers (8-F.5)
- 8.B13 solve and create problems involving addition, subtraction, multiplication, and division of positive and negative decimal numbers
  - Add and subtract rational numbers: word problems (8-F.3)
  - Multiply and divide rational numbers: word problems (8-F.6)
- 8.B14 add and subtract algebraic terms concretely, pictorially, and symbolically to solve simple algebraic problems
- 8.B15 explore addition and subtraction of polynomial expressions, concretely and pictorially
  - Model and solve equations using algebra tiles (8-X.3)
  - Write and solve equations that represent diagrams (8-X.4)
- 8.B16 demonstrate an understanding of multiplication of a polynomial by a scalar, concretely, pictorially, and symbolically
  - Simplify linear expressions (8-W.16)

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8 Number Concepts/Number and Relationship Operations

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

8.A1 model and link various representations of square root of a number

8.A2 recognize perfect squares between 1 and 144 and apply patterns related to them

8.A3 distinguish between an exact square root of a number and its decimal approximation

8.A4 find the square root of any number, using an appropriate method

8.A5 demonstrate and explain the meaning of negative exponents for base ten

8.A6 represent any number written in scientific notation in standard form, and vice versa

8.A7 compare and order integers and positive and negative rational numbers (in decimal and fractional forms)

8.A8 represent and apply fractional percents, and percents greater than 100, in fraction or decimal form, and vice versa

8.A9 solve proportion problems that involve equivalent ratios and rates

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

8.B1 demonstrate an understanding of the properties of operations with integers and positive and negative rational numbers (in decimal and fractional forms)

8.B2 solve problems involving proportions, using a variety of methods

8.B3 create and solve problems which involve finding a, b, or c in the relationship A% of b = c, using estimation and calculation

8.B4 apply percentage increase and decrease in problem situations

8.B5 add and subtract fractions concretely, pictorially, and symbolically

8.B6 add and subtract fractions mentally, when appropriate

8.B7 multiply fractions concretely, pictorially, and symbolically

8.B8 divide fractions concretely, pictorially, and symbolically

8.B9 estimate and mentally compute products and quotients involving fractions

8.B10 apply the order of operations to fraction computations, using both pencil and paper and the calculator

8.B11 model, solve, and create problems involving fractions in meaningful contexts

8.B12 add, subtract, multiply, and divide positive and negative decimal numbers with and without the calculator

8.B13 solve and create problems involving addition, subtraction, multiplication, and division of positive and negative decimal numbers

8.B14 add and subtract algebraic terms concretely, pictorially, and symbolically to solve simple algebraic problems

8.B15 explore addition and subtraction of polynomial expressions, concretely and pictorially

8.B16 demonstrate an understanding of multiplication of a polynomial by a scalar, concretely, pictorially, and symbolically

8 Patterns and Relations

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

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

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

8.C3 construct and analyse tables and graphs to describe how change in one quantity affects a related quantity

8.C4 link visual characteristics of slope with its numerical value by comparing vertical change with horizontal change

8.C5 solve problems involving the intersection of two lines on a graph

8.C6 solve and verify simple linear equations algebraically

8.C7 create and solve problems, using linear equations

8 Shape and Space

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

8.D1 solve indirect measurement problems, using proportions

8.D2 solve measurement problems, using appropriate SI units

8.D3 estimate areas of circles

8.D4 develop and use the formula for the area of a circle

8.D5 describe patterns and generalize the relationships between areas and perimeters of quadrilaterals, and areas

8.D6 calculate the areas of composite figures

8.D7 estimate and calculate volumes and surface areas of right prisms and cylinders

8.D8 measure and calculate volumes and surface areas of composite 3-D shapes

8.D9 demonstrate an understanding of the Pythagorean relationship, using models

8.D10 apply the Pythagorean relationship in problem situations

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

8.E1 demonstrate whether a set of orthographic views, a mat plan, and an isometric drawing can represent more than one 3-D shape

8.E2 examine and draw representations of 3-D shapes to determine what is necessary to produce unique shapes

8.E3 draw, describe, and apply transformations of 3-D shapes

8.E4 analyse polygons to determine their properties and interreleationships

8.E5 represent, analyse, describe, and apply dilations

8 Data Management and Probability

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

8.F1 demonstrate an understanding of the variability of repeated samples of the same population

8.F2 develop and apply the concept of randomness

8.F3 construct and interpret circle graphs

8.F4 construct and interpret scatter plots and determine a line of best fit by inspection

8.F5 construct and interpret box-and-whisker plots

8.F6 extrapolate and interpolate information from graphs

8.F7 determine the effect of variations in data on the mean, median, and mode

8.F8 develop and conduct statistics projects to solve problems

8.F9 evaluate data interpretations that are based on graphs and tables

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

8.G1 conduct experiments and simulations to find probabilities of single and complementary events

8.G2 determine theoretical probabilities of single and complementary events

8.G3 compare experimental and theoretical probabilities

8.G4 demonstrate an understanding of how data is used to establish broad probability patterns

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