Grade 7
Students in Grade 7 expand their computational fluency and proportional reasoning using rational numbers (including fractions, decimals, percentages, and negative values). As such, the emphasis is ratios & proportions, use of common geometric formulas and solving equations with whole number solutions. Student begin using symbolic logic (algebra) to communicate multi-step problem solving. Visual models include graphing on a number line and a cartesian plane, array/area models of multiplication/factors and visual patterns with input/output tables.
In the table below, you will find instructional resources organized by theme as well as according to discrete skills for Grade 7 Math (ie. Multiples, Ratios, Integers, etc.)
Note:
Operational Fluency refers to ease of recognition of which operation is required for a given problem and Computational Fluency (the proficient use of various models and strategies to perform the desired operation)
Brochure with common models and strategies used to develop operational fluency in Grades 6 & 7
| Common Models for Grade 7 Virtual Math Manipulatives | Number Grids Number Line Cartesian Plane | Math Glossary Word Wall (Vocabulary) Math Glossary (K-8) | Area/Array Model Multiplication Table Bar Model and Grid Model (for fractions) |
| Communicating and Representing | Math Number Talks Provocations Examples | Math Questions to Promote Thinking | |
| Benchmarks / Estimation 10 steps to estimate reasonably | Estimation Mysteries (by Steve Wyborney) Grade Range Chart Whole Number Pickle Game Compare benchmark fractions (ie. using fraction bars) | Fractions and integers on a number line Fraction Bingo Teaching Fractions Using Lego Bricks | You Cubed Fraction Puzzles Splats! (with Money, Fractions) |
Reasoning and Analyzing Mathematical Reasoning Twist Model Poster | 3-Act Tasks and Thinking Tasks 3-Act Examples | Open Middle Problems (Kaplinksy) Open Middle - Challenging math problems worth solving | Visual Patterns Tasks |
| Operational Fluency Addition / Subtraction Multiplication / Division True Scale Multiplication Grids | Pythagorean Tables (Multiplication) Yohaku Junior Puzzles (Additive and Multiplicative) | Prime Factor Puzzles and Games Kakooma Multiplication Puzzle Tarsia Puzzle Multiplication Facts | Array/Area model of multiplication Lesson Array Capture Game Shikaku Puzzles |
| Fractions, Decimals | Decimal Pickle Game Rules and Template Roll and Round Game Greater Than, Less Than Fractions Game | Sample Fraction Splats Lesson Teaching Fractions Using Lego Bricks | Probability of Independent Events (Experimental and Theoretical) |
| Ratios / Proportions | Ratio Tables Unit Chats Tiled Area Tasks | Represent Decimals and Fractions on a Grid | Sample Ratio Lesson Plan |
| Understand and Solve (Equations) | Solve Mojis, Math Mojis | Math Mobiles (model solving equations with whole numbers) | Algebra and Visual Patterns |
| Connecting and Reflecting Culturally Sustaining Pedagogy Interweaving Math Poster | Connecting to Place Exploring West Coast Ecosystems Land and Resource Stewardship (Greenways, Forest School, etc.) Land-based, experiential learning
| Connecting to Language Using counting words, colour words, and other words to describe shape, quantity, and location (in Kʷak̓ʷala and Lik̓ʷala, English, French, and/or ayʔaǰuθɛm) Contact the Indigenous Education Department for more information. IndigenousEd@sd72.bc.ca French Resources (Page Under Development) | Connecting to Culture and Community Learning from members of various Indigenous communities: Liǧʷiɫdax̌ʷ (We Wai Kai, Wei Wai Kum), Xwémalhkwu (Homalco), Klahoose, Tlowitsis, Comox, Métis, etc.) Contact the Indigenous Education Department for more information. IndigenousEd@sd72.bc.ca FNESC Math First Peoples Guide |
| Planning for Proficiency BIG IDEAS K-9 | Unit Planning Template Connecting Curricular Competencies to Depth of Knowledge (Summary Table) | Fractions Iceberg Concept Map (p.1) Multiplication Iceberg Concept Map (p.2) Algebraic Reasoning Concept Map (p.3) | Skills Trajectories (Multi-Grade Proficiency Tables) Fraction, Decimal, Percent Trajectory Mathematical Modelling Trajectory Measurement Trajectory |
Instructional and Assessment Routines
| Common Formative Numeracy Assessment (CFNA) Section 8 of the District Numeracy Framework SNAP Number Sense Instructional Routine SNAP Grades 2-9 5 Indicators of Decimal Understanding (NCTM article) | Grade 6-9 Numeracy Sampler Pack Sampler Pack Table of Contents Essential Skills Numeracy Self-Assessment (From Human Resources and Skills Development Canada) |
| Games for Fluency Building in Math BEAM Math Games for Grades 5-7 | High-Yield Routines for Middle School Math Curated list with links to recommended resources |
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