Gr 6 Unit 7 Proportions

Unit 7 Proportions


Content Emphasis/ Big Ideas

In this unit, students build a conceptual understanding of proportional relationships and unit rates. Students make connections between various representations such as verbal descriptions, ratio tables, and graphs. Students will explore proportional relationships in practical situations by using ratio tables. The use of ratio tables is to help students develop a conceptual understanding of the multiplicative relationship of proportions. Students will also visually represent proportional relationships using graphs. The use of tables and graphs builds students prealgebra skills as proportional relationships helps develop the understanding of the slope of a line which will be explored further in Mathematics 7.

Standards:

  • MTH.G6.12a Represent a proportional relationship between two quantities, including those arising from practical situations (PR6)
  • MTH.G6.12b Determine the unit rate of a proportional relationship and use it to find a missing value in a ratio table. (PR6)
  • MTH.G6.12c Determine whether a proportional relationship exists between two quantities. (PR6)
  • MTH.G6.12d Make connections between and among representations of a proportional relationship between two quantities using verbal descriptions, ratio tables, and graphs. (PR6)

Skills:

  1. What are proportions?
  2. Ratio Tables
  3. Unit Rates
  4. Graphing Proportions

What are proportions?

Instructional Videos

Proportional Relationships

Visuals of Proportional vs. Unproportional

Ratio Tables

Instructional Videos

Completing a Ratio Table

Filling in the Ratio Table

Adding & Subtracting on a Number Line

Ratio Table Practice Problems

Unit Rates

Instructional Videos

Unit Rate Examples

Unit Rate Using Ratio Tables

Graphing Proportions

Instructional Video

Proportional Graphs

Graphing Equations (Slope)

Graphing Ratio Tables

Visualizing Ratios on a Graph

Additional Resources:

STMath (60 Minutes recommended per week)

Make Your Own Fraction Manipulative to Use

Math At Home