# ALEX Lesson Plan

## Gallon Man Meets Fraction Friend: An Introductory Lesson on Adding Fractions with Unlike Denominators

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This lesson provided by:
 Author: Deborah Hill System: Blount County School: Locust Fork Elementary
General Lesson Information
 Lesson Plan ID: 32651 Title: Gallon Man Meets Fraction Friend: An Introductory Lesson on Adding Fractions with Unlike Denominators Overview/Annotation: This hands-on, minds-on activity helps students use what they already know about customary measurement (CCRS 2010 #18 [5.MD.1]: Convert among different-sized standard measurement units within a given measurement system.) to help them add and subtract fractions with like and unlike denominators.
Associated Standards and Objectives
Content Standard(s):
 Mathematics MA2015 (2016) Grade: 5 11 ) Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. [5-NF1] Example: 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.) NAEP Framework NAEP Statement:: 8NPO3a: Perform computations with rational numbers. NAEP Statement:: 8NPO6b: Provide a mathematical argument to explain operations with two or more fractions. Alabama Alternate Achievement Standards AAS Standard: M.AAS.5.11- Use a model to add and subtract fractional parts with like denominators. Mathematics MA2015 (2016) Grade: 5 12 ) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally, and assess the reasonableness of answers. [5-NF2] Example: Recognize an incorrect result 2/5 + 1/2 = 3/7 by observing that 3/7 < 1/2. NAEP Framework NAEP Statement:: 4NPO3f: Solve application problems involving numbers and operations. NAEP Statement:: 8NPO3a: Perform computations with rational numbers. NAEP Statement:: 8NPO6b: Provide a mathematical argument to explain operations with two or more fractions. Alabama Alternate Achievement Standards AAS Standard: M.AAS.5.12- Solve word problems involving addition and subtraction of fractions with like denominators.

Local/National Standards:

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers (NCTM 3-5).

Primary Learning Objective(s):

Students will represent fractions and add fractions with like and unlike denominators using pieces of Fraction Friend and their own body.

Mathematical Practice Standards:

1. Make sense of problems and preserver in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others.

4.  Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning.

Preparation Information
 Total Duration: 31 to 60 Minutes Materials and Resources: Gallon Man (commercial or student made), construction paper (five colors for each child: purple, red, orange, blue, and yellow), and magic markers, students’ journals and pencils. Technology Resources Needed: Computer with Internet access and digital document camera (ELMO) Background/Preparation: Students need to understand customary capacity. Students should be able to convert gallons to quarts, pints, and cups.  Group students heterogeneously in groups of 2 to 4 so that they may work with a partner and discuss their findings as a group.http://www.educationworld.com/a_lesson/dailylp/dailylp/gallon_man.shtml
Procedures/Activities: