Instructional time: 30 days

**Big Ideas**:

- Recognizing Proportional Relationships Both Graphically and In Tables
- Unit Rate and Constant of Proportionality
- Equations of Proportional Relationships
- Rates and Ratios Involving Fractions
- Solving Proportions
- Unit Rate as a Scaling Factor and Applying to to Scale Lengths and Areas

**7.1.1**: **Proportional Relationships (Focus: 7.RP.2a)**

Introduction to Unit Rate- Recognizing if a data set, represented in a table or graph, is proportional

**7.1.2: Unit Rate and Constant of Proportionality (Focus: 7.RP.2b, 7.RP.2c, 7.RP.2d, 7.EE.4a)**

- Relating the Unit Rate and Constant of Proportionality
- Representing proportional relationships with an equation
- Understanding how to find
**k**from y=kx

**7.1: Mid Unit Assessment**

**7.1.3: Ratios and Rates Involving Fractions (Focus: 7.RP.1, 7.RP.3, 7.EE.4a)**

- Finding unit rates involving fractions.
- Equations and graphs of proportional relationships involving fractions
- Multi-step ratio problems
- Solving proportions

**7.1.4: Ratios of Scaling Drawings (Focus: 7.RP.2b, 7.G.1)**

- Relating unit rate to scale factors
- Scaling lengths and areas using scaling factors

**Resources**

- Glencoe – California Mathematics Grade 7, Chapter 4 – lessons 4.1-10
- National Library of Virtual Manipulatives – http://nlvm.usu.edu/en/nav/grade_g_3.html
- NCTM Tools Activities – http://www.nctm.org/resources/content.aspx?id=32702
- TI Math– http://education.ti.com/calculators/timathnspired/US/Activities/Subject?sa=1008
- Geometer’s Sketchpad – http://dynamicgeometry.com/
- Illustrative Mathematics
- 7.RP.1 Molly’s Run http://illustrativemathematics.org/illustrations/828
- 7.RP.2 Music Companies, Variations 1 – http://illustrativemathematics.org/illustrations/95