Grade 8
Students in Grade 8 expand their computational fluency and proportional reasoning to include percentages and fractions with unlike denominators. The emphasis is on using ratios & proportions and common geometric formulas for area and volume, as well as solving equations with whole number solutions. Student practice using symbolic logic (algebra) to communicate multi-step problem solving. Visual models include a number line and a cartesian plane with values less than zero, tree and table models of multiplication/factors and visual patterns represented as input/output tables.
In the table below, you will find instructional resources organized by theme as well as according to discrete skills for Grade 8 Math
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 (Prior Learning)
| Prior Learning (Grade 6 & 7) | Number Grids Whole Number Pickle Game Fractions and Integers on a number line Greater Than, Less Than Fractions Game | Represent Decimals and Fractions on a Grid Decimal Pickle Game Rules and Template | Area/Array Model Multiplying using Rectangles Array Capture Game Shikaku Puzzles Multiplication Table Bar Model and Grid Model (for fractions) Compare benchmark fractions (ie. using fraction bars) |
| Common Models for Grade 8 Virtual Math Manipulatives | Number Line Cartesian Plane Visual Patterns | Math Glossary Word Wall (Vocabulary) Math Glossary (K-8) | Array/Area model of multiplication Lesson True Scale Multiplication Grids |
| Communicating and Representing | Math Number Talks Provocations Examples | Math Questions to Promote Thinking | |
| Benchmarks / Estimation | Perfect Squares and Cubes Benchmarks for time, distance, temperature | 10 steps to estimate reasonably Estimation Mysteries (by Steve Wyborney) Grade Range Chart | Finding the Mode (Central Tendency) - the most common value in a data set |
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 (patterns to tables to algebraic forms) |
| Operational Fluency Multiplication / Division True Scale Multiplication Grids | Prime Numbers and Factorization Prime Factor Puzzles and Games Square and Cube Roots | Pythagorean Tables (Multiplication) Tarsia Puzzle Multiplication Facts | Scale Factor (x2, x10, x1000, etc.) Unit Rates (km/h, $/L, etc.) |
| Order of Operations with fractions | Concrete representations of operations with fractions: Dividing with a Rectangle bar/pie/number line for add/subtract Making Sense of Fraction Addition Subtracting Negatives without Tricks area/window for multiply/divide | Abstract (Symbolic) representations of operations with fractions (may include standard algorithms and mnemonic devices) | Central tendency: Calculating Mean and Median Application: Calculate Probability of 2 Independent Events (Theoretical) |
| Fractions / Ratios / Proportions / Percentages | Sample Fraction Splats Lesson Unit Chats Tiled Area Tasks | Solving Proportions Ratio Tables Sample Ratio Lesson Plan | Financial Literacy (best buys) Calculate taxes and tips |
| Understand and Solve (Equations) | Solve Mojis, Math Mojis
| Math Mobiles (model solving equations with whole numbers)
| Algebra and Visual Patterns (write equations to represent patterns)
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| Measurement & Geometric Reasoning | Dimensions of common 2D shapes
Deriving 6 Area Formulas from the Area of a Rectangle | Connecting 2-D shapes and 3-D objects
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| 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 FNESC Math 8 & 9 Resource |
| 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 Gaps 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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