Gizmos for Alberta - Mathematics: Grade 7 (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.

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

7.1.1: : Students analyze positive and negative numbers.

7.1.1.1: : Relate the absolute value of positive and negative numbers, including decimal numbers and fractions, to their positions on the number line.

7.1.1.2: : Convert between fractions and decimal numbers, including negative numbers.

7.1.1.3: : Compare and order positive and negative numbers, including decimal numbers and fractions.

7.1.2: : Students apply operations to positive and negative numbers.

7.1.2.1: : Distinguish the meaning of the symbol, ?, represented in a numerical expression.

7.1.2.2: : Add and subtract any two integers.

7.1.2.4: : Solve problems involving addition and subtraction of integers.

7.1.3: : Students interpret perfect squares and perfect cubes.

7.1.3.2: : Express a perfect square as repeated multiplication and a power.

7.1.3.3: : Recall perfect squares within 144 and their square roots, limited to natural numbers.

7.1.3.4: : Solve problems involving perimeter and area of squares, limited to side lengths that are natural numbers.

7.1.3.8: : Solve problems involving volume of cubes, limited to edge lengths that are natural numbers.

7.1.4: : Students interpret multiplication and division of positive fractions and of positive decimal numbers.

7.1.4.1: : Model multiplication of fractions.

7.1.4.3: : Multiply two fractions.

7.1.4.4: : Compare products of fractions in various equivalent forms, including simplest form.

7.1.4.6: : Relate a number to its reciprocal.

7.1.4.8: : Divide a natural number by a fraction and vice versa.

7.1.4.9: : Divide a fraction by a fraction.

7.1.4.12: : Multiply and divide decimal numbers, including dividing a natural number by a decimal number.

7.1.4.13: : Solve problems involving decimal numbers, including in real-world situations.

7.1.5: : Students analyze multiplicative relationships between equivalent ratios.

7.1.5.1: : Generate equivalent ratios by iterating or partitioning a ratio.

7.1.5.2: : Determine the factor that relates equivalent ratios.

7.1.5.3: : Determine an unknown value related to a given equivalent ratio.

7.1.5.6: : Determine a percentage of a natural number by iterating or partitioning benchmark percentages.

7.1.5.8: : Solve problems involving proportional reasoning in real-world situations.

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

7.2.1: : Students apply equivalence to solving linear equations.

7.2.1.1: : Simplify algebraic expressions on one or both sides of an equation, using algebraic properties, including the distributive property.

7.2.1.2: : Solve linear equations with algebraic terms on both sides of the equation.

7.2.1.3: : Verify the solution to a linear equation by substituting the solution into any equivalent equation.

7.2.1.4: : Solve problems involving real-world situations, using linear equations.

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

7.3.1: : Students analyze the structure and relationships of geometric objects.

7.3.1.5: : Investigate angle relationships at the intersection of two straight lines.

7.3.1.6: : Identify corresponding angles at intersections of parallel lines and a transversal.

7.3.1.8: : Model angle relationships, using hands-on materials or a digital geometry environment.

7.3.1.9: : Solve problems involving angle relationships at intersections.

7.3.1.10: : Identify corresponding sides and corresponding angles of congruent polygons.

7.3.1.11: : Identify congruent angles and congruent line segments indicated with symbols in congruent polygons.

7.3.1.12: : Verify that geometric objects are congruent, using symbolic notation.

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

7.4.1: : Students interpret and explain area and circumference of circles.

7.4.1.1: : Create circles, given the radius, using a compass or a digital geometry environment.

7.4.1.2: : Investigate the relationship between the circumference of a circle and its diameter.

7.4.1.5: : Calculate the area and circumference of a circle, given its radius or diameter and using 3.14 as an approximation for pi.

7.4.1.6: : Solve problems involving circumference and area of circles.

7.4.2: : Students analyze volume of right prisms and right cylinders.

7.4.2.1: : Relate the name of a prism to the shape of its base.

7.4.2.2: : Differentiate the lateral faces and lateral surfaces from the bases of prisms and cylinders oriented in various ways.

7.4.2.3: : Model volume of rectangular prisms by iterating the volume of a single layer, using hands-on materials or a digital geometry environment.

7.4.2.4: : Calculate the volume of rectangular prisms, triangular prisms, and cylinders.

7.4.2.6: : Determine the height of rectangular prisms, triangular prisms, and cylinders, given volume and area of the base.

7.4.2.7: : Solve problems involving volume of prisms and cylinders.

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

7.5.1: : Students interpret functions through domain and range.

7.5.1.2: : Describe the domain and range of a function.

7.5.1.5: : Determine whether a relation is a function.

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

7.6.1: : Students interpret sample data.

7.6.1.1: : Identify the population for a statistical question.

7.6.1.3: : Describe a representative sample for a population in relation to a statistical question.

7.6.1.4: : Explain the process for obtaining a representative sample by using a chosen random sampling method.

7.6.1.5: : Determine mean, median, mode, and range for a set of quantitative data collected from a representative sample.

7.6.1.6: : Compare statistics from two different samples of the same population.

7.6.1.7: : Draw conclusions about a population, using statistics from a representative sample.

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

7.7.1: : Students interpret theoretical and experimental probability.

7.7.1.1: : Describe favourable outcomes for a given event.

7.7.1.2: : Describe one outcome as more or less likely than another outcome.

7.7.1.3: : Describe situations where not all events are equally likely.

7.7.1.4: : Explain certain and impossible events.

7.7.1.5: : Express, in various ways, the theoretical probability for each of the possible outcomes in a situation.

7.7.1.6: : Predict the experimental probability of an event, using theoretical probability.

7.7.1.7: : Collect data from multiple trials of an experiment with equally likely outcomes.

7.7.1.8: : Simulate situations by generating a sample space.

7.7.1.9: : Determine the experimental probability of an event.

7.7.1.10: : Compare the experimental probability to the theoretical probability for a given event.

7.7.1.11: : Relate probability to decision making in various situations.

Correlation last revised: 7/23/2025

Alberta - Mathematics: Grade 7

Mathematics Curriculum - DRAFT | Adopted: 2025