Gizmos for Alberta - Mathematics: Grade 8 (Mathematics Curriculum - DRAFT adopted 2025)

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

8.1: : Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculations.

8.1.1: : Students interpret rational and irrational numbers.

8.1.1.1: : Express rational numbers as fractions and decimal numbers.

8.1.1.2: : Classify natural numbers, integers, and rational numbers.

8.1.1.3: : Relate a rational number to its position on the number line.

8.1.1.4: : Compare and order rational numbers.

8.1.1.5: : Determine a rational number between any two given rational numbers.

8.1.1.6: : Investigate fractions that result in repeating decimals.

8.1.1.7: : Add, subtract, multiply, and divide any two rational numbers.

8.1.1.8: : Assess the reasonableness of a sum, difference, product, or quotient, using estimation.

8.1.1.10: : Solve problems involving rational numbers in real-world situations.

8.1.1.13: : Approximate an irrational number as a rounded decimal.

8.1.1.14: : Express an irrational number as an exact value.

8.1.1.16: : Compare and order real numbers.

8.1.2: : Students interpret square roots of perfect and non-perfect squares.

8.1.2.1: : Classify positive rational numbers as perfect squares or non-perfect squares.

8.1.2.2: : Express perfect and non-perfect squares as repeated multiplication and as powers.

8.1.2.4: : Approximate the square roots of non-perfect squares, within 144.

8.1.2.5: : Determine the area of a square, given the side length.

8.1.2.6: : Determine the side length of a square, given its area.

8.1.2.7: : Solve problems involving perimeter and area of squares.

8.1.3: : Students analyze multiplicative relationships within ratios.

8.1.3.1: : Describe one quantity in a ratio as a multiple of the other.

8.1.3.2: : Determine the constant of proportionality for a given ratio.

8.1.3.3: : Generate equivalent ratios for a given constant of proportionality.

8.1.3.4: : Determine the missing quantity in a ratio, given the constant of proportionality.

8.1.3.5: : Solve problems that involve quantities related by a constant of proportionality, including in real-world situations.

8.2: : Algebra: Generalizing arithmetic with expressions, equations, and inequalities supports problem solving in real-world situations.

8.2.1: : Students interpret powers in single-variable algebraic terms.

8.2.1.1: : Express an algebraic term as multiplication of a coefficient and variable factors and vice versa.

8.2.1.2: : Justify that an algebraic expression is a polynomial.

8.2.1.4: : Classify a polynomial according to number of terms.

8.2.1.5: : Relate the value of the exponent in an algebraic term to the degree of the algebraic term.

8.2.1.6: : Name algebraic terms according to degree.

8.2.1.7: : Determine the degree of a polynomial.

8.2.1.9: : Add and subtract monomials by combining like terms.

8.2.2: : Students solve single-variable linear equations involving rational numbers.

8.2.2.1: : Express an equation with rational coefficients as an equivalent equation with integers.

8.2.2.2: : Solve equations with rational coefficients.

8.2.2.4: : Solve linear equations, including with parentheses and variables on both sides of the equation.

8.2.3: : Students interpret inequalities.

8.2.3.2: : Model inequalities on the number line.

8.2.3.3: : Verify, by substitution, whether a number is a solution of an inequality.

8.2.3.4: : Represent a real-world situation as an inequality.

8.3: : Geometry: The properties of geometric objects are explained through justification and proof.

8.3.1: : Students interpret similarity through scale factor.

8.3.1.1: : Determine the scale factor of similar geometric objects.

8.3.1.2: : Determine whether geometric objects are similar, given a scale factor.

8.3.1.3: : Solve problems involving areas of similar geometric objects.

8.3.1.4: : Solve problems involving scale factor in real-world situations.

8.3.1.5: : Dilate a geometric object in the Cartesian plane, given dilation centre (0, 0) and a scale factor, using hands-on materials or a digital geometry environment.

8.3.1.6: : Determine the coordinates of the vertices of a similar polygon, given dilation centre (0, 0), a scale factor, and the coordinates of the polygon’s vertices.

8.3.1.7: : Verify that geometric objects are similar, using the Cartesian plane or straight lines.

8.3.2: : Students analyze and explain triangle problems, using theorems.

8.3.2.1: : Justify unknown interior angle measures in triangles, using angle theorems.

8.3.2.2: : Prove that a geometric object is a triangle, given the three side lengths.

8.3.2.3: : Prove that a triangle is a right triangle, using hands-on materials or a digital geometry environment.

8.3.2.4: : Determine an unknown side length in a right triangle, given any two side lengths, using the Pythagorean theorem.

8.3.2.5: : Illustrate a problem involving triangles, using hands-on materials or a digital geometry environment.

8.3.2.6: : Solve problems involving triangles, using theorems.

8.4: : Measurement: Attributes such as length, area, volume, and angle are quantified by measurement.

8.4.1: : Students analyze the surface area of right 3-D shapes, using 2-D models.

8.4.1.2: : Calculate the surface area of various polyhedrons and cylinders, using a 2-D model.

8.4.1.3: : Solve problems involving surface area of polyhedrons and cylinders.

8.4.1.5: : Relate each shape on a net to the corresponding face of a 3-D shape.

8.4.1.8: : Recognize the orthographic drawing and isometric drawing related to a given 3-D shape, and vice versa.

8.4.1.9: : Create orthographic drawings for 3-D shapes, with or without a digital geometry environment.

8.4.1.10: : Model 3-D shapes related to given orthographic drawings and isometric drawings.

8.5: : Functions: Functions model relationships between changing quantities in real-world situations.

8.5.1: : Students relate linear functions to equations and graphs.

8.5.1.1: : Calculate the slope of a line, given two points on the line.

8.5.1.4: : Investigate how b and m in the equation y = mx + b affect the vertical position and steepness of a graph.

8.5.1.5: : Prove that the slope of a vertical line is undefined.

8.5.1.6: : Distinguish between graphs of linear and non-linear functions.

8.5.1.7: : Investigate how variations of slope and y-intercepts contextually affect the rate of change of a linear function.

8.5.1.9: : Graph a linear function, given slope and one point on the line.

8.5.1.10: : Solve problems involving rate of change from various representations modelling real-world situations.

8.5.1.11: : Prove that a linear function has exactly one x-intercept.

8.5.1.12: : Express, as an ordered pair, the x- and y-intercepts of a linear function from a graph or equation.

8.5.1.13: : Express a linear function as an equation in slope-intercept form, given the graph.

8.5.1.14: : Graph a linear function, given the equation.

8.5.1.15: : Express a horizontal or vertical line as an equation.

8.5.1.16: : Graph horizontal and vertical lines.

8.6: : Statistics: The science of collecting, analyzing, visualizing, and interpreting data can inform understanding and decision making.

8.6.1: : Students analyze distributions, using shape.

8.6.1.1: : Describe the shape of distributions.

8.6.1.2: : Explain the effects of changing the size of the intervals in a histogram on the interpretation of the shape of a distribution.

8.6.1.3: : Represent distributions, using histograms with equal intervals.

8.6.1.4: : Compare the shape of distributions from two different samples of the same population.

8.6.1.6: : Represent data, using a circle graph.

8.6.1.7: : Analyze circle graphs to solve problems.

8.7: : Probability: Modelling randomness and quantifying the likelihood of events can inform decision making where uncertainty exists.

8.7.1: : Students interpret probability of independent and dependent events.

8.7.1.1: : Determine whether two events are independent or dependent.

8.7.1.2: : Determine the probability of two or more independent events by modelling the sample space.

8.7.1.3: : Determine the probability of two dependent events by modelling the sample space.

Correlation last revised: 7/23/2025

Alberta - Mathematics: Grade 8

Mathematics Curriculum - DRAFT | Adopted: 2025