Ratios and Proportional Relationships

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