The Mathematics 7 Outcomes At-a-Glance document identifies the most recent version of course outcomes and indicators.
The Mathematics 7 Curriculum Document (Unit 6: English, French) provides essential background information and includes suggestions for assessment, teaching and learning strategies, and learning tasks.
The HRCE Updated Pacing Guide *Updated Sept 2025* is a reference tool that provides teachers with suggested timing for curricular topics. Teachers are encouraged to use their professional judgement and consider the needs of their students when planning for instruction.
The Mathematics Progression: Grades 6 - 9 document identifies when, and how, concepts are developed over time.
HRCE Marking Rubrics (7PR03 , 7PR06, 7PR07) can be used for a variety of purposes such as a resource to create learning goals, a tool for student self assessment and on-going, formative assessment, creating report card comments, summative assessment of achievement, and/or as a support in giving descriptive feedback to students.
Math 7 Retrieval Practice Grids A: English, French Grids B: English, French
PR03 Students will be expected to demonstrate an understanding of preservation of equality by modelling preservation of equality, concretely, pictorially, and symbolically applying preservation of equality to solve equations [C, CN, PS, R, V]
Performance Indicators
PR03.01 Model the preservation of equality for each of the four operations, using concrete materials and/or pictorial representations; explain the process orally; and record the process symbolically.
PR03.02 Write equivalent forms of a given equation by applying the preservation of equality, and verify using concrete materials (e.g., 3b = 12 is equivalent to 3b + 5 = 12 + 5 or 2r = 7 is equivalent to 3(2r) = 3(7).
PR03.03 Solve a given problem by applying preservation of equality.
PR06 Students will be expected to model and solve, concretely, pictorially, and symbolically, problems that can be represented by one-step linear equations of the form x + a = b, where a and b are integers. [CN, PS, R, V]
Performance Indicators
PR06.01 Represent a given problem with a linear equation, and solve the equation using concrete models.
PR06.02 Draw a visual representation of the steps required to solve a given linear equation.
PR06.03 Solve a given problem using a linear equation and record the process.
PR06.04 Verify the solution to a given linear equation using concrete materials and diagrams.
PR06.05 Substitute a possible solution for the variable in a given linear equation into the original linear equation to verify the equality.
PR07 Students will be expected to model and solve, concretely, pictorially, and symbolically, where a, b, and c are whole numbers, problems that can be represented by linear equations of the form
ax + b = c
ax = b
x/a = b, where a is not equal to 0 [CN, PS, R, V]
Performance Indicators
PR07.01 Represent a given problem with a linear equation, and solve the equation using concrete models.
PR07.02 Draw a visual representation of the steps used to solve a given linear equation.
PR07.03 Solve a given problem using a linear equation and record the process.
PR07.04 Verify the solution to a given linear equation using concrete materials and diagrams.
PR07.05 Substitute a possible solution for the variable in a given linear equation into the original linear equation to verify the equality.
RR03 On s’attend à ce que les élèves montrent qu’ils comprennent la préservation de l’égalité en faisant les choses suivantes : modéliser la préservation de l’égalité sous forme concrète, imagée et symbolique; appliquer la préservation de l’égalité pour résoudre des équations. [C, L, RP, R, V]
Indicateurs de rendement
RR03.01 Modéliser la préservation de l’égalité pour chacune des quatre opérations mathématiques à l’aide de matériel de manipulation ou d’une représentation imagée, expliquer la marche à suivre à l’oral et la prendre en note sous forme symbolique.
RR03.02 Rédiger les formes équivalentes d’une équation donnée en appliquant la préservation de l’égalité et vérifier le résultat à l’aide de matériel concret [p. ex. : 3b = 12 est équivalent à 3b + 5 = 12 + 5 ou 2r = 7 est équivalent à 3(2r) = 3(7)].
RR03.03 Résoudre un problème donné en appliquant la préservation de l’égalité.
RR06 On s’attend à ce que les élèves modélisent et résolvent, sous forme concrète, imagée et symbolique, des problèmes qu’on peut représenter sous la forme d’équations linéaires à une inconnue du type x + a = b, avec a et b qui sont des nombres entiers. [L, RP, R, V]
Indicateurs de rendement
RR06.01 Représenter un problème donné sous la forme d’une équation linéaire et le résoudre à l’aide de matériel concret.
RR06.02 Tracer une représentation visuelle des étapes requises pour résoudre une équation linéaire.
RR06.03 Résoudre un problème donné à l’aide d’équations linéaires et prendre en note la marche à suivre.
RR06.04 Vérifier la solution d’une équation linéaire donnée à l’aide de matériel concret et de diagrammes.
RR06.05 Substituer la solution possible pour la variable d’une équation linéaire donnée afin d’en vérifier l’égalité.
RR07 On s’attend à ce que les élèves modélisent et résolvent, sous forme concrète, imagée et symbolique, des problèmes qu’on peut représenter sous la forme d’équations linéaires à une inconnue des types suivants, avec a, b et c qui sont des nombres entiers : ax + b = c ax = b, x/a = b [L, RP, R, V]
Indicateurs de rendement
RR07.01 Modéliser un problème donné à l’aide d’une équation linéaire et résoudre l’équation à l’aide de matériel concret.
RR07.02 Dessiner une représentation visuelle des étapes utilisées pour résoudre une équation linéaire.
RR07.03 Résoudre un problème donné à l’aide d’équations linéaires et prendre en note la marche à suivre.
RR07.04 Vérifier la solution d’une équation linéaire à l’aide de matériel concret et de diagrammes.
RR07.05 Substituer la solution possible d’une équation à la variable dans l’équation linéaire originale pour en vérifier l’égalité.
Additional Resources and Activities for PR03 (preservation of equality):
Perservation of Equality lesson and practice Google slides English, French - These Google slides contain an overview lesson on preservation of equality followed by practice questions for students to complete.
SolveMe Mobiles online game - This online game asks students to solve puzzles involving balance scales. They could write an expression or value for each side of the scale.
Equality from Open Middle - Place any digit, 0 through 9, in the boxes below to make a true statement. Each digit can only be used once.
Desmos Activity: Equivalent Expressions - Students sort cards to strengthen their understanding of equivalent expressions. In particular, this activity uses visual representations of algebraic expressions to help students see that expressions are equivalent when they correctly count the same thing.
Desmos Activity: Balancing Act - Make the values on both sides equal.
Additional Resources and Activities for PR06 and PR07 (solve linear equations: x + a = b, ax +b = c, ax = b, x/a + b = c):
Noah's Ark - Mr. Noah wants his Ark to sail along on an even keel. The ark is divided down the middle, and on each deck the animals on the left exactly balance those on the right – all but the third deck. Can you figure out how many SEALS are needed in place of the question mark so that they (and the bear) will exactly balance the six zebras? Julie Reulbach describes using the problem in her math class.
Solving Equations Menu English, French - This is an assessment that can be done virtually. In this set of Google Slides, students select from a menu of options to respond to. Each student answers the questions they have picked and delete any unused slides and pass it in within the Google Classroom.
Desmos Activity: Solving Equations - In this activity, students determine which value of a variable will balance a hanger. It includes one- and two-step equations. Students also have the opportunity to draw their own hangers, and determine what equation is represented by each hanger.
Desmos Activity: Number Sentences - Expressions - A sorting activity where students are given expressions and the sentence to describe them and have to match them up. (paper copy available here).
Desmos Activity: Mystery Area - Prepares students who need an introduction to representing situations by writing expressions with variables.
Desmos Activity: Solving One - Step Equations - Here's an intro activity on solving one-step equations that includes opportunities for organizing work using "Sketch" and "Card Sort" and error analysis using "Sketch". A silent video helps students visualize how a balanced scale can model solving an equation.
Desmos Activity: Breakout! Linear Equations - The game is afoot! Can you escape 19th century London by helping a certain famous detective solve the mystery?
Desmos Activity: Castlevania Solving - Students practice solving equations through randomly generated equations. Screens 2-4 requires 10 correct answers to complete the level. Students will gain a star when they complete the level. The final boss requires students to attack Dracula after each correct answer.