 • #### BIOGRAPHY REPORTS • #### COMMON CORE STATE STANDARDS • #### UNIT 9 - PERCENTS • #### BIOGRAPHY REPORT PROJECT • #### ENERGY • #### INDUSTRIAL REVOLUTION # Mrs. Tait's & Mrs. Fleischhauer's Class

### Unit 7 (BIM Math) - Understand Fraction Equivalence and Comparison

Chapter 7 - Understand Fraction Equivalence and Comparison

In this chapter, your student is learning different strategies for writing equivalent fractions and comparing fractions. The lessons address how to use multiplication and division to find equivalent fractions, as well as how to compare fractions using benchmarks and equivalent fractions. The vocabulary words for this chapter are: benchmark, common factor, equivalent, and equivalent fractions.

• Pull out your recipe book and look for meal recipes with a variety of fraction sizes, like a soup that requires various seasonings. Before you and your student start cooking, change some of the ingredient quantities to familiarize your student with a variety of fractions. For example, you can change 1 cup to 3/3 cup, or  1/4 teaspoon to  2/8 teaspoon to give more “fraction flavor” to your recipe!
• Invite your student to be your recipe reader. Choose a fraction from your recipe’s ingredient list, and then ask your student, “What is an equivalent fraction for [3/4 cup]?” Encourage them to use multiplication to find an equivalent fraction. Next, choose a fraction with a numerator and denominator that are both divisible by the same one-digit number, such as 6/12. (You may need to add this fraction to your recipe!) Continue by asking, “What are two equivalent fractions for [6/12 cup]? How can you use division to find equivalent fractions?”
• Then, help your student compare two fractions from a recipe by comparing them to a commonly used benchmark number, such as 1/2 or 1. (For example, 3/8 <  1/2 and 2/3  > 1/2, so 3/8  < 2/3.)
• Challenge your student to compare two fractions by rewriting one of them with either the same numerator or denominator as the other fraction, and have them explain how they know which fraction is greater.
• As a final challenge, choose three fractions from your recipe list for your student. Then, ask your student to order them from least to greatest!

By the end of this chapter, your student should feel confident with the learning targets and success criteria on the next page.

Have a great time cooking with fractions!

 Lesson Learning Target Success Criteria 7.1 Model Equivalent Fractions Model and write equivalent fractions. ·       I can use an area model to find equivalent fractions. ·       I can use a number line to find equivalent fractions. ·       I can write equivalent fractions. 7.2 Generate Equivalent Fractions by Multiplying Use multiplication to find equivalent fractions. ·       I can multiply a numerator and a denominator by a chosen number. ·       I can multiply to find equivalent fractions. ·       I can explain why multiplication can be used to find equivalent fractions. 7.3 Generate Equivalent Fractions by Dividing Use division to find equivalent fractions. ·       I can find the factors of a number. ·       I can find the common factors of a numerator and denominator. ·       I can divide to find equivalent fractions. 7.4 Compare Fractions Using Benchmarks Compare fractions using benchmarks. ·       I can compare a fraction to a benchmark of  or 1. ·       I can use a benchmark to compare two fractions. 7.5 Compare Fractions Compare fractions using equivalent fractions. ·       I can compare numerators and denominators of two fractions. ·       I can make the numerators or the denominators of two fractions the same. ·       I can compare fractions with like numerators or like denominators.    (all pictures from everydaymathonline.com)