HRCE Updated Pacing Guide *Updated Sept 2025*
Mathematics Progression: Grades 6 - 9
Math 7 Retrieval Practice Grids A: English, French Grids B: English, French
N05 Students will be expected to demonstrate an understanding of adding and subtracting positive fractions and mixed numbers, with like and unlike denominators, concretely, pictorially, and symbolically (limited to positive sums and differences). [C, CN, ME, PS, R, V]
Performance Indicators
N05.01 Use benchmarks to estimate the sum or difference of positive fractions or mixed numbers.
N05.02 Model addition and subtraction of given positive fractions or given mixed numbers, using concrete and pictorial representations, and record symbolically.
N05.03 Determine the sum or difference of fractions mentally, when appropriate.
N05.04 Determine the sum of two given positive fractions or mixed numbers with like denominators.
N05.05 Determine the difference of two given positive fractions or mixed numbers with like denominators.
N05.06 Determine a common denominator for a given set of positive fractions or mixed numbers.
N05.07 Determine the sum of two given positive fractions or mixed numbers with unlike denominators.
N05.08 Determine the difference of two given positive fractions or mixed numbers with unlike denominators.
N05.09 Simplify a given positive fraction or mixed number by identifying the common factor between the numerator and denominator.
N05.10 Simplify the solution to a given problem involving the sum or difference of two positive fractions or mixed numbers.
N05.11 Solve a given problem involving the addition or subtraction of positive fractions or mixed numbers, and determine if the solution is reasonable.
N05 On s’attend à ce que les élèves montrent qu’ils comprennent l’addition et la soustraction de fractions et de nombres fractionnaires de signe positif, avec des dénominateurs semblables ou différents, sous forme concrète, sous forme imagée et sous forme symbolique (en se limitant aux sommes et aux différences positives). [C, L, CM, RP, R, V]
Indicateurs de rendement
N05.01 Utiliser des points de repère pour faire une estimation de la somme ou de la différence de fractions ou de nombres fractionnaires positifs.
N05.02 Modéliser l’addition et la soustraction de fractions ou de nombres fractionnaires positifs de signe positif de façon concrète et les noter sous forme symbolique.
N05.03 Utiliser le calcul mental pour déterminer la somme de fractions ou la différence entre fractions, quand cela est approprié.
N05.04 Déterminer la somme de deux fractions ou de nombres fractionnaires de signe positif ayant un dénominateur commun.
N05.05 Déterminer la différence entre deux fractions ou nombres fractionnaires de signe positif ayant un dénominateur commun.
N05.06 Déterminer un dénominateur commun pour les fractions ou les nombres fractionnaires de signe positif d’un ensemble donné.
N05.07 Déterminer la somme de deux fractions ou de nombres fractionnaires de signe positif ayant des dénominateurs différents.
N05.08 Déterminer la différence entre deux fractions ou nombres fractionnaires de signe positif ayant des dénominateurs différents.
N05.09 Simplifier une fraction ou un nombre fractionnaire de signe positif donné en déterminant le facteur commun au numérateur et au dénominateur.
N05.10 Simplifier la solution d’un problème qui comprend la somme de deux fractions ou de nombres fractionnaires de signe positif ou la différence entre deux fractions ou nombres fractionnaires de signe positif.
N05.11 Résoudre un problème donné comportant l’addition ou la soustraction de fractions ou de nombres fractionnaires de signe positif et vérifier la vraisemblance de la solution.
Additional Resources and Activities for N05 (adding and subtracting fractions and mixed numbers):
HRCE Marking Rubric for 7N05 - This rubric 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.
Fraction Addition and Subtraction *Updated December 2024* Google Slides (As Jamboard is no longer available, the following have been created for use with technology, or to be printed as hard copy for each student)
Fraction Pyramids - English, French This Google slides contains fraction addition pyramids. Each block in the pyramid should contain the sum of the two blocks below it. Given starting values, students are tasked to complete the pyramid.
Adding Fractions Math Menu :English, French In this activity, students are given 8 constraints to try to match when creating addition of fractions questions. Their job is to try to create enough questions to satisfy all 8 constraints collectively. You can also try this in a Desmos Adding Fractions Menu Math Activity.
Adding and Subtracting Fractions with unlike denominators Part 1 and Part 2 - A series of fraction addition questions presented visually. These questions were created with https://apps.mathlearningcenter.org/fractions/ .
Fraction Addition Scavenger Hunt - This scavenger hunt contains 12 fraction addition questions. The solution to each question leads students to the next question in the loop. Once students have completed the loop of 12 questions, they are finished.
Adding and Subtracting Fractions Review/Practice Activity Grid - A grid of 4 different activities for students to choose from. Links to both English and French Activities included on the slide.
Fraction Magic Squares from Don Steward - In a magic square, each row, column and diagonal sum to the same value. These magic squares use fractions. This activity is hosted on Don Steward's website.
Fraction Fill-In game - Students take turns colouring in parts of a fraction wall given the results of the roll of dice. The first student to colour in their whole board wins.
Fraction Flags - Ask students to create their own flags by decomposing a rectangle into at least 8 sections using straight lines. Colour these sections using four different colours. Calculate what fraction of the whole flag is represented by each colour.
The Fraction Challenge Desmos activity English, French - In this activity, students will practice adding and subtracting fractions. They will create expressions to match given criteria (e.g., the greatest value, the least positive value, etc.). Students will reason abstractly and structurally, arguing that their expressions are the greatest or least possible.
Half is in the Middle from Don Steward - Students are presented with number lines with the number 1/2 in the middle. Students then use another number on the number line to determine the value of the missing number. A google slides of these questions.
Pixel Art: English, French: A self-checking activity for students to practice adding and subtracting fractions.
The Kentucky Center for Mathematics has Fraction Talks prompts and resources for use.
Unit 5 Cumulative Review
Adding Fractions Review Questions from Miss Konstantine - Students have a variety of type and difficulty of fraction addition questions on one Google slide.
Add 'Em Up Activity - Fraction Addition and Subtraction - Students work in small groups (typically four students) to solve a set of problems. Students add up their solutions to the four problems to see if this sum matches the sum at the center of the sheet. If the numbers match then they have all four questions correct. If not, they work together to find their mistake(s). For more information on Add 'Em Up activities, check out Sara VanDerWerf's post.
Fraction Operations Scavenger Hunt - This scavenger hunt contains 12 fraction addition and subtraction questions (both proper fractions and mixed numbers). There are also several word problems. The solution to each question leads students to the next question in the loop. Once students have completed the loop of 12 questions, they are finished.