Kerry's Grade 9 Applied Fractions Planning Map

Key planning suggestions: Use the Fractions Learning Pathways (FLP) to support planning. Punctuate instruction (revisit and extend) with two to five lessons per month focusing on fractions concepts in order to develop and solifidy ideas. Embed fractions throughout the curriculum to allow students opportunities to deepen understanding, by reinforcing and extending concepts over time.

 Topic Comparing Fractions Working with Equivalence Week Week 1 Week 2-3 Concepts on FLP Unit FractionsComparing Fractions Unit FractionsComparing FractionsOperations: Addition and Subtraction Tasks (including extensions and revisits) Assessment: Informal diagnostic assessment Living Number Line (Unit A) Counting Game (Unit D): emphasize fractional unit and fractions as quantities that can be counted. Comparing and Ordering Fractions Lesson Comparing Fractions Tasks (Comp A - E): select tasks that emphasize the use of the number line model. Assessment: formal diagnostic Desktop fractions (Unit B): emphasize the connection between number line and area models. Brownie Sharing (Unit B): emphasize equi-partitioning. Building to Operations with Relational Rods (Op E) Building a Stage (Op D) Opportunities to Connect Across Strands Number Sense and Algebra Measurement and Geometry area, perimeter, and volume

 Topic Operations with Fractions Fractions as Ratios and Proportions Week Week 4 Week 5-8 Concepts on FLP Comparing FractionsOperations: Addition and Subtraction Comparing FractionsOperations: Addition and Subtraction Tasks (including extensions and revisits) Recipe Task (Comp A) OP Quick Prompts (Op A - E): select prompts to emphasize building models appropriate to the context (e.g., area models for brownies, volume models for strawberries, and number lines for banners). Building Flags (Op B): emphasize equi-partitioning, the whole, equivalence, and fraction operations. Generate as many representations for 2⁄5 as possible: emphasize equivalence with set representations. Opportunities to Connect Across Strands Measurement and Geometry composite figures and optimization Number Sense and Algebra unit rate

 Topic Fractions as Rate Fractional Thinking Supporting Algebra Fractional Thinking Supporting Geometry Week Week 9-12 Slope of a Line Week 13-15 Week 15-17 Concepts on FLP Comparing Fractions Operations: Addition and SubtractionOperations: Multiplication and Division Operations: Multiplication and Division Tasks (including extensions and revisits) Assessment: use post test to determine areas of need Slope of a Line (Comp E): emphasize ordering fractions in different contexts. Continue to select tasks from cells based on assessment for learning information.   Ensure that students have opportunities to solve prompts with and without contexts.   Students will benefit from opportunities to visualize representations of operations. Continue to select tasks from cells based on assessment for learning information.   Embed fractional thinking to solve problems involving angle geometry (e.g., determine the measure of each angle in a regular octagon). Opportunities to Connect Across Strands Analytic Geometry direct and partial variations finding the equation of a line Measurement and Geometry linking equation solving to measurement Number Sense and Algebra Geometry

Based on research of Dr. Cathy Bruce, Trent University and Ontario Ministry of Education