Gizmos for Nova Scotia - Mathematics: 8th Grade (Mathematics Curriculum adopted 2022)

This correlation lists the recommended Gizmos for this province's curriculum standards. Click any Gizmo title below for more information.

N: : Number

N01: : Students will be expected to demonstrate an understanding of perfect squares and square roots, concretely, pictorially, and symbolically (limited to whole numbers).

N01.01: : Represent a given perfect square as a square region, using materials such as grid paper or square shapes.

N01.03: : Determine whether or not a given number is a perfect square, using materials and strategies such as square shapes, grid paper or prime factorization, and explain the reasoning.

N01.04: : Determine the square root of a given perfect square, and record it symbolically.

N01.05: : Determine the square of a given number.

N02: : Students will be expected to determine the approximate square root of numbers that are not perfect squares (limited to whole numbers).

N02.01: : Estimate the square root of a given number that is not a perfect square, using materials such as square shapes and graph paper and strategies such as using the roots of perfect squares as benchmarks.

N02.02: : Approximate the square root of a given number that is not a perfect square using technology (e.g., a calculator or a computer).

N02.04: : Identify a number with a square root that is between two given numbers.

N03: : Students will be expected to demonstrate an understanding of and solve problems involving percents greater than or equal to 0%.

N03.02: : Represent a given fractional percent using concrete materials and pictorial representations.

N03.05: : Express a given percent in decimal or fraction form.

N03.06: : Express a given decimal in percent or fraction form.

N03.07: : Express a given fraction in decimal or percent form.

N03.08: : Solve a given problem involving percents mentally, with pencil and paper, or with technology, as appropriate.

N04: : Students will be expected to demonstrate an understanding of ratio and rate.

N04.01: : Explain the multiplicative relationship found within a ratio.

N04.02: : Represent a two-term ratio from a given context concretely and pictorially and record using the forms 3:5 or 3 to 5.

N04.04: : Express a part-to-part ratio as a part-to-whole fraction.

N04.05: : Identify and describe ratios and rates (including unit rates) from real-life examples and record them symbolically.

N04.07: : Express a given ratio as a percent, and explain why a rate cannot be represented as a percent.

N05: : Students will be expected to solve problems that involve rates, ratios, and proportional reasoning.

N05.03: : Use pictures, models, or manipulatives to make sense of a proportional situation.

N05.05: : Use multiplicative relationships to compare quantities and to predict the value of one quantity based on the values of another.

N05.06: : Use multiple methods to solve proportional tasks and understand that these methods are related to each other.

N05.08: : Solve a proportion using mental mathematics, pencil and paper, or technology, as appropriate.

N05.09: : Solve a given problem involving rate, ratio, or percent using mental mathematics, pencil and paper, or technology, as appropriate.

N06: : Students will be expected to demonstrate an understanding of multiplying and dividing positive fractions and mixed numbers, concretely, pictorially, and symbolically.

N06.06: : Express a given positive mixed number as an improper fraction and a given positive improper fraction as a mixed number.

N06.07: : Model multiplication of a positive fraction by a whole number concretely and/or pictorially and record the process.

N06.08: : Model multiplication of a positive fraction by a positive fraction concretely and/or pictorially, using an area model, and record the process.

N06.09: : Model division of a positive proper fraction by a whole number concretely and/or pictorially and record the process.

N06.10: : Model division of a whole number by a positive proper fraction concretely and/or pictorially, using an area model, and record the process.

N06.11: : Model division of a positive proper fraction by a positive proper fraction pictorially and record the process.

N06.12: : Generalize and apply rules for multiplying and dividing positive fractions, including mixed numbers.

N06.13: : Symbolically solve a given problem involving positive fractions, taking into consideration order of operations (limited to problems with positive solutions and that exclude exponents).

PR: : Patterns and Relations

PR01: : Students will be expected to graph and analyze two-variable linear relations.

PR01.01: : Determine the missing value in an ordered pair for a given equation.

PR01.02: : Create a table of values by substituting values for a variable in the equation of a given linear relation.

PR01.03: : Construct a graph from the equation of a given linear relation (limited to discrete data).

PR01.04: : Describe the relationship between the variables of a given graph.

PR02: : Students will be expected to model and solve problems, concretely, pictorially, and symbolically, where a, b, and c are integers, using linear equations of the form ax = b; x/a = b, a not equal to 0; ax + b = c; x/a + b = c, a not equal to 0; a(x + b) = c.

PR02.01: : Model a given problem with a linear equation, and solve the equation using concrete models.

PR02.02: : Verify the solution to a given linear equation, using a variety of methods, including concrete materials, diagrams, and substitution.

PR02.03: : Draw a visual representation of the steps used to solve a given linear equation, and record each step. symbolically.

PR02.04: : Solve a given linear equation symbolically.

PR02.05: : Identify and correct an error in a given incorrect solution of a linear equation.

PR02.06: : Apply the distributive property to solve a given linear equation.

PR02.07: : Solve a given problem, using a linear equation, and record the process.

M: : Measurement

M01: : Students will be expected to develop and apply the Pythagorean theorem to solve problems.

M01.01: : Model and explain the Pythagorean theorem concretely, pictorially, or using technology.

M01.02: : Explain, using examples, that the Pythagorean theorem applies only to right triangles.

M01.03: : Determine whether or not a given triangle is a right triangle by applying the Pythagorean theorem.

M01.04: : Determine the measure of the third side of a right triangle, given the measures of the other two sides, to solve a given problem.

M01.05: : Solve a given problem that involves Pythagorean triples.

M02: : Students will be expected to draw and construct nets for 3-D objects.

M02.02: : Construct a 3-D object from a given net.

M02.03: : Draw nets for a given right cylinder, right rectangular prism, and right triangular prism, and verify by constructing the 3-D objects from the nets.

M03: : Students will be expected to determine the surface area of right rectangular prisms, right triangular prisms, and right cylinders to solve problems.

M03.01: : Explain, using examples, the relationship between the area of 2-D shapes and the surface area of a given 3-D object.

M03.02: : Identify all the faces of a given prism, including right rectangular and right triangular prisms.

M03.03: : Identify all the faces of a given right cylinder.

M03.04: : Describe and apply strategies for determining the surface area of a given right rectangular or right triangular prism.

M03.05: : Describe and apply strategies for determining the surface area of a given right cylinder.

M03.06: : Solve a given problem involving surface area.

M04: : Students will be expected to develop and apply formulas for determining the volume of right rectangular prisms, right triangular prisms, and right cylinders.

M04.01: : Determine the volume of a given right prism, given the area of the base.

M04.02: : Generalize and apply a rule for determining the volume of right cylinders.

M04.03: : Explain the connection between the area of the base of a given right 3-D object and the formula for the volume of the object.

M04.04: : Demonstrate that the orientation of a given 3-D object does not affect its volume.

M04.05: : Apply a formula to solve a given problem involving the volume of a right cylinder or a right prism.

G: : Geometry

G01: : Students will be expected to draw and interpret top, front, and side views of 3-D objects composed of right rectangular prisms.

G01.01: : Draw and label the top, front, and side views for a given 3-D object on isometric dot paper.

G01.02: : Compare different views of a given 3-D object to the object.

G01.05: : Build a 3-D block object given the top, front, and side views, with or without the use of technology

Correlation last revised: 3/27/2023

Nova Scotia - Mathematics: 8th Grade

Mathematics Curriculum | Adopted: 2022

N: : Number

PR: : Patterns and Relations

M: : Measurement

G: : Geometry