New Brunswick

8.N Number

• Develop number sense

  • 8.N1 Demonstrate an understanding of perfect squares and square roots, concretely, pictorially and symbolically (limited to whole numbers).

    • Square roots of perfect squares (8-G.11)
    • Relationship between squares and square roots (8-G.13)

  • 8.N2 Determine the approximate square root of numbers that are not perfect squares (limited to whole numbers).

    • Estimate square roots (8-G.12)

  • 8.N3 Demonstrate an understanding of percents greater than or equal to 0%.

    • Convert between percents, fractions and decimals (8-K.1)
    • Compare percents to fractions and decimals (8-K.2)
    • Find what percent one number is of another (8-K.3)
    • Find what percent one number is of another: word problems (8-K.4)
    • Estimate percents of numbers (8-K.5)
    • Percents of numbers and money amounts (8-K.6)
    • Percents of numbers: word problems (8-K.7)
    • Compare percents of numbers (8-K.8)
    • Solve percent equations (8-K.9)
    • Percent of change (8-K.10)
    • Percent of change: word problems (8-K.11)
    • Percent of a number: tax, discount and more (8-L.4)
    • Find the percent: tax, discount and more (8-L.5)
    • Sale prices: find the original price (8-L.6)
    • Estimate tips (8-L.8)

  • 8.N4 Demonstrate an understanding of ratio and rate.

    • Understanding ratios (8-I.1)
    • Unit rates (8-I.6)

  • 8.N5 Solve problems that involve rates, ratios and proportional reasoning.

    • Identify equivalent ratios (8-I.2)
    • Write an equivalent ratio (8-I.3)
    • Ratio tables (8-I.4)
    • Equivalent ratios: word problems (8-I.5)
    • Equivalent rates (8-I.7)
    • Use tape diagrams to solve ratio word problems (8-I.9)
    • Compare ratios: word problems (8-I.10)
    • Compare rates: word problems (8-I.11)
    • Ratios and rates: word problems (8-I.12)
    • Do the ratios form a proportion? (8-I.13)
    • Do the ratios form a proportion: word problems (8-I.14)
    • Solve proportions (8-I.15)
    • Unit prices (8-L.2)
    • Unit prices: find the total price (8-L.3)

  • 8.N6 Demonstrate an understanding of multiplying and dividing positive fractions and mixed numbers, concretely, pictorially and symbolically.

    • Multiply fractions and whole numbers (8-D.13)
    • Multiply two fractions using models (8-D.14)
    • Multiply fractions (8-D.15)
    • Multiply fractions: word problems (8-D.16)
    • Multiply mixed numbers (8-D.17)
    • Multiply mixed numbers: word problems (8-D.18)
    • Divide whole numbers by unit fractions using models (8-D.19)
    • Divide whole numbers and unit fractions (8-D.20)
    • Divide fractions (8-D.21)
    • Divide fractions: word problems (8-D.22)
    • Divide mixed numbers (8-D.23)
    • Divide mixed numbers: word problems (8-D.24)

  • 8.N7 Demonstrate an understanding of multiplication and division of integers, concretely, pictorially and symbolically.

    • Integer multiplication and division rules (8-C.7)
    • Multiply and divide integers (8-C.8)
    • Complete multiplication and division sentences with integers (8-C.9)

8.PR Patterns & Relations

• Use patterns to describe the world and solve problems

  • 8.PR1 Graph and analyze two-variable linear relations.

    • Graph proportional relationships (8-J.8)
    • Interpret graphs of proportional relationships (8-J.9)
    • Constant rate of change (8-Z.4)
    • Complete a table and graph a linear function (8-Z.6)
    • Graph a line from an equation (8-Z.7)
    • Interpret the graph of a linear function: word problems (8-Z.8)

• Represent algebraic expressions in multiple ways

  • 8.PR2 Model and solve problems using linear equations of the form: ax = b; x/a = b, a ≠ 0; ax + b = c; x/a+ b = c, a ≠ 0; and a(x + b) = c concretely, pictorially and symbolically, where a, b and c are integers.

    • Model and solve equations using algebra tiles (8-X.3)
    • Solve one-step equations (8-X.6)
    • Solve two-step equations (8-X.7)
    • Solve equations: word problems (8-X.12)

8.SS Shape & Space

• Use direct and indirect measurement to solve problems

  • 8.SS1 Develop and apply the Pythagorean theorem to solve problems.

    • Pythagorean theorem: find the length of the hypotenuse (8-S.1)
    • Pythagorean theorem: find the missing leg length (8-S.2)
    • Pythagorean theorem: find the missing leg or hypotenuse length (8-S.3)
    • Pythagorean theorem: find the perimeter (8-S.4)
    • Pythagorean theorem: word problems (8-S.5)
    • Converse of the Pythagorean theorem: is it a right triangle? (8-S.6)

  • 8.SS2 Draw and construct nets for 3-D objects.

    • Nets of three-dimensional figures (8-T.2)

  • 8.SS3 Determine the surface area of: right rectangular prisms; right triangular prisms; and right cylinders to solve problems.

    • Surface area of prisms and cylinders (8-U.11)

  • 8.SS4 Develop and apply formulas for determining the volume of right prisms and right cylinders.

    • Volume (8-U.10)

• Describe 3-D objects and 2-D shapes, and analyze the relationships

  • 8.SS5 Draw and interpret top, front and side views of 3-D objects composed of right rectangular prisms.

    • Front, side and top view (8-T.3)

• Describe and analyze position and motion of objects and shapes

  • 8.SS6 Demonstrate an understanding of tessellation by: explaining the properties of shapes that make tessellating possible; creating tessellations; and identifying tessellations in the environment.

8.SP Statistics & Probability

• Collect, display and analyze data to solve problems

  • 8.SP1 Critique ways in which data is presented.

• Use experimental or theoretical probabilities to solve problems

  • 8.SP2 Solve problems involving the probability of independent events.

    • Probability of independent events (8-CC.8)