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.

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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)

Assessing Proficiency

Step by Step Guide: How to Create Analytic Rubrics Using AI
How_to_AI_rubric_creation.docx

Sample Analytic Rubric:

Understanding and Solving in Math 5

Sample Analytic Rubric:

Communicating and Representing in Math 3

Sample Analytic Rubric:

Reasoning and Analyzing in Math 8

Self-Reflection Template:

"Myself in Math"

	Curricular Competencies
Planning for Proficiency BIG IDEAS K-9	Understanding & Solving (activate curiosity, play, practice, recall)	Communicating & Representing (use vocabulary, notation & draw visualizations)	Reasoning & Analyzing (Use logic, infer missing information, use & interpret patterns, compare, equate, convert) Mathematical Reasoning Twist Model Poster	Connecting & Reflecting (Consolidate understanding, think creatively, connect ideas, seek challenges)
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 Bar Model and Grid Model (for fractions) Compare benchmark fractions (ie. using fraction bars)	Area/Array Model Multiplying using Rectangles Array Capture Game Shikaku Puzzles Multiplication Table	Connecting Math to the World Time-Related Vocabulary Math Glossary
Common Models for Grade 8 Virtual Math Manipulatives Desmos 4-function Calculator	Number Line Cartesian Plane Visual Patterns Multiplication Grid True Scale Multiplication Grids	Math Glossaries Word Wall (Vocabulary) Math Glossary (K-8) Time-Related Vocabulary Math Glossary Factor Trees Math Number Talks Provocations Examples Math Questions to Promote Thinking	Array/Area model of multiplication Lesson True Scale Multiplication Grids Circular Model for Prime Factors (Notice and Wonder Activity) Good Questions for Grade 6,7,8 (Carole Fullerton)	Connection to Self & Family Model of Family Tree and Circle of Ancestors Division Contexts (Write problems for a given context)
Number Sense Benchmarks / Estimation	Benchmarks / Estimation Perfect Squares and Cubes Benchmarks for time, distance, temperature 10 steps to estimate reasonably Estimation Mysteries (by Steve Wyborney) Grade Range Chart	3-Act Tasks and Thinking Tasks 3-Act Examples Visual Patterns Tasks (patterns to tables to algebraic forms)	Open Middle Problems (Kaplinksy) Open Middle - Challenging math problems worth solving	Real World Data Connection Finding the Mode (Central Tendency) - the most common value in a data set quadrasalmon.ca Local Salmon Counts
Operational Fluency Multiplication / Division Addition / Subtraction Order of Operations with fractions	Prime Numbers and Factorization Prime Factor Puzzles and Games Identify Perfect Squares and Perfect Cubes	True Scale Multiplication Grids Pythagorean Tables (Multiplication) Tarsia Puzzle Multiplication Facts 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	Assessing Priority (planning a logical sequence) Abstract (Symbolic) representations of operations with fractions (may include standard algorithms and mnemonic devices, ie. PEDMAS/GEMDAS) Square Root Symbol (Representing a relationship, not an operation) Desmos Scientific Calculator	Scale used in mapping Scale Factor (x2, x10, x1000, etc.) Connection to Financial Literacy Unit Rates (km/h, $/L, etc.) Connection to Probability & Statistics Central tendency: Calculating Mean and Median Real World Data: Calculate Probability of 2 Independent Events
Partitive Reasoning Fractions / Ratios / Proportions / Percentages	Sample Fraction Splats Lesson Unit Chats Tiled Area Tasks	Solving Proportions Ratio Tables Sample Ratio Lesson Plan	Shoe Sale Task "Would You Rather" Style Problems	Connections to Financial Literacy Best buys Calculate taxes and tips
Equations	Solve Mojis Math Mojis two-step equations with integer coefficients, constants, and solutions evaluate expressions using substitution	Math Mobiles (model solving equations with whole numbers) write and encode contexts as mathematical expressions ex. Pythagorean Theorem	Algebra and Visual Patterns (write equations to represent patterns) discrete linear relations (extended to larger numbers, limited to integers)
Measurement (Shape & Space)	Construct 2D shapes and 3D objects using common tools (ruler, pencil, grid paper, isometric dot-grid) Angles and Polygons Geotemplet Puzzle	Deriving 6 Area Formulas from the Area of a Rectangle Identify and Describe 2-D shapes and 3-D objects Apply Pythagorean Theorem to Right Triangles	Geometric Reasoning Connecting 2-D shapes and 3-D objects construction, views, and nets of 3D objects surface area and volume of regular solids, including triangular and other right prisms and cylinders	Connection to Work and Careers Floorplan of a house Scale drawings Drafting & design work (blueprints)
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 Beaches (Various) Islands (Quadra, Cortes, Reade) Forests (Beaver Lodge Lands, etc. Wetlands (Various) Rivers (Fish Hatchery, Quinsam River) School Gardens Seasonal Round and 13 Moons Calendar Lessons (Resources Under Development)	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) 13 Moons of Klahoose, Tla'amin, Holmalco and Komox (Poster) 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	Connecting to Work and Careers Forestry Math Task (Area and Estimation) Metric Measurement & Conversion Tasks

Instructional and Assessment Routines

Formative Assessment

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)
Essential Skills Numeracy Self-Assessment (From Human Resources and Skills Development Canada)

Proficiency Tables and Concept Maps (Concrete to Abstract)

Skills Trajectories

Games for Gaps

High-Yield Routines for Middle School Math
- Curated list with links to recommended resources
Grade 6-9 Numeracy Sampler Pack
Sampler Pack Table of Contents