# Grade Five Chapter 6 Add and Subtract Fractions with Unlike Denominators Overview & Support Standards:

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1 rade Five Chapter 6 Add and Subtract Fractions with Unlike Denominators Overview & Support Standards: Use equivalent fractions as a strategy to add and subtract fractions. 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. For example, 2/3 + 5/4 = 8/ /12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.) 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. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2. Write and interpret numerical expressions. 5.OA.2.1 Express a whole number in the range 2-50 as a product of its prime factors. For example, find the prime factors of 24 and express 24 as 2x2x2x3. Note: Use fraction models or equations to represent the problem, as stated in Standard. *Students need multiple opportunities throughout the chapter to use visual fraction models and make connections between the models and the equation. Suggested Routines: Students need multiple opportunities throughout the chapter to use visual fraction models and make connections between the models and the equation. The use of bars for fraction models is suggested in place of circle/pie models, which are difficult for accurate representations. Manipulatives: mathboard fraction bars/fraction strips

2 Vocabulary: sum difference benchmark common denominator common multiples equivalent fractions simplest form mixed number Strategies for Chapter: grade-five chapter of the Mathematics Framework: Color Coding: reen () The lesson accurately reflects the Framework standard(s). ellow () - This lesson includes notes to refer to while planning the lesson. Red (R) - This lesson does not accurately reflect the Framework standard(s). Skip the lesson. Essential Question: How can you add and subtract fractions with unlike denominators? Lesson-by-Lesson Overview: Lesson #, Standard Title Materials Vocab Notes Show What ou Know 6.1 Addition with Unlike Denominators, Fraction Bars/Fraction Strips pg. 254 Note About the Math o Math TE pg. 235A

3 6.2 Subtraction with Unlike Denominators, Fraction Bars/Fraction Strips pg OA.2.1 Estimate Fraction Sums and Differences pg. 262 Use number lines as a tool to estimate fractions using benchmark numbers. Factors Note About the Math o Math TE pg. 265A pg Common Denominators and Equivalent Fractions If students are finding it difficult to find factors for products, students can build arrays with unit cubes into equal rows and columns. As they build different arrays of the same number, they should write down the corresponding factors. pg. 270

4 6.6 Add and Subtract Fractions Note About the Math o Math TE pg. 273A pg. 274 Mid Chapter Checkpoint 6.7 Add and Subtract Mixed Numbers pg Subtraction with Renaming Note About the Math o Math TE pg. 283A pg. 285

5 6.9 Patterns with Fractions This lesson can be omitted because patterns with fractions is not a content standard. However, it can be used as an opportunity to activate SMPs 7 & 8 or for additional practice adding and subtracting fractions with unlike denominators (including mixed numbers) Practice Addition and Subtraction pg. 288 Note EL Strategy o Math TE pg. 291 pg Use Properties of Addition pg. 296 Chapter Test If lesson 6.9 was not taught, please omit problems 9 and 11 from the Chapter 6 Review/Test.

6 Reteach Options Look over your Chapter 4 Assessment to determine standards/areas of need. Reteach standards from this unit to help meet students need. Some ideas for reteach activities are listed below: P164A can be used for Error Analysis for reteach for student interventions (Personal Math Trainer - can be used by students digitally) Reteach Blackline Masters for this chapter. Math centers or math games focused on unit standards Small group instruction focused on a single standard using the Intensive Intervention materials Whole group instruction focused on a single standard My Favorite No (Teaching Channelhttps:// ) Rewrite student work with an error and work as a class to identify positives in the work and areas that need to be revised Select 1 3 problems to resolve in their groups and discuss whole class. We want new learning to occur on this day that helps students over misconceptions. Complete the Performance Task from o Math! In the Assessment Book in small groups. Share strategies and discuss whole class. Use the Reteach activities based on standards that need intervention.

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