Unit Overview
Unit one focuses on ratios and proportions. Beginning with reintroducing students to the meaning of a ratio and equivalent ratios, students work toward understanding and applying proportional relationships. The second half of the unit then builds upon this and gets students working with scale. The following structure is outlined by EngageNY.
Topic A: Proportional Relationships
- Lesson 1: An Experience in Relationships as Measuring Rate
- Lesson 2: Proportional Relationships
- Lessons 3–4: Identifying Proportional and Non-Proportional Relationships in Tables
- Lessons 5–6: Identifying Proportional and Non-Proportional Relationships in Graphs
Topic B: Unit Rate and the Constant of Proportionality
- Lesson 7: Unit Rate as the Constant of Proportionality
- Lessons 8–9: Representing Proportional Relationships with Equations
- Lesson 10: Interpreting Graphs of Proportional Relationships
Mid-Module Assessment
- Practice Assessment
- Re-engagement Activity
- Assessment: Topics A through B
Topic C: Ratios and Rates Involving Fractions
- Review: Multiplying Fractions and Mixed Numbers
- Lessons 11–12: Ratios of Fractions and Their Unit Rates
- Lesson 13: Finding Equivalent Ratios Given the Total Quantity
- Lesson 14: Multi-step Ratio Problems
- Lesson 15: Equations of Graphs of Proportional Relationships Involving Fractions
Topic D: Ratios of Scale Drawings
- Lesson 16: Relating Scale Drawings to Ratios and Rates
- Lesson 17: The Unit Rate as the Scale Factor
- Lesson 18: Computing Actual Lengths from a Scale Drawing
- Lesson 19: Computing Actual Areas from a Scale Drawing
- Lesson 20: An Exercise in Creating a Scale Drawing
- Lessons 21–22: An Exercise in Changing Scales
End-of-Unit Assessment
- Assessment: Topics A through D