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Least Common Denominator

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Least Common Denominator EACH CHAPTER INCLUDES: • Prescriptive targeted strategic intervention charts. • Student activity pages aligned to the Common Core State Standards. • Complete lesson plan pages with lesson objectives, getting started activities, teaching suggestions, and questions to check student understanding. Grade 5 Targeted Strategic Intervention Grade 5, Chapter 9 Based on student performance on Am I Ready?, Check My Progress, and Review, use these charts to select the strategic intervention lessons found in this packet to provide remediation. Am I Ready? If Then Where is this Students miss use this Strategic Concept concept in Exercises… Intervention Activity… My Math? 9-A: Find the Greatest Chapter 8, 1-7 Simplest form 5.NF.5 Common Factor Lesson 3 Prep for Grade 4, 8-14 9-B: Mixed Numbers Improper fractions Chapter 8, 5.NF.4 Lesson 10 Check My Progress 1 If Then Where is this Students miss use this Strategic Concept concept in Exercises… Intervention Activity… My Math? Prep for Chapter 9, 3-5 9-C: Fraction of a Whole Round fractions 5.NF.2 Lesson 1 9-D: Common Add like and unlike 5.NF.1, Chapter 9, 6-11 Denominators fractions 5.NF.2 Lessons 2 and 5 9-E: Fractions in Subtract like Chapter 9, 12-14 5.NF.2 Simplest Form fractions Lesson 3 Check My Progress 2 If Then Where is this Students miss use this Strategic Concept concept in Exercises… Intervention Activity… My Math? 9-F: Subtract Like Subtract unlike 5.NF.1, Chapter 9, 5-7 Fractions fractions 5.NF.2 Lesson 7 9-G: Estimate the Value Estimate sums and Chapter 9, 8-10 5.NF.2 of Fractions differences Lesson 9 Review If Then Where is this Students miss use this Strategic Concept concept in Exercises… Intervention Activity… My Math? 9-H: Fractions on a Prep for Chapter 9, 6-8 Round fractions Number Line 5.NF.2 Lesson 1 9-I: Least Common 5.NF.1, Chapter 9, 9-17 Add fractions Denominator 5.NF.2 Lessons 2 and 5 9-J: Simplest Form and Estimate and 5.NF.1, Chapter 9, 18-23 Common Denominators subtract fractions 5.NF.2 Lessons 3 and 7 Name Find the Greatest Common Factor Lesson 9-A List the factors. What Can I Do? I want to find the greatest What are the factors of 12 and 18? common factor of two numbers. Factors of 12 1 × 12, 2 × 6, 3 × 4 Factors of 18 1 × 18, 2 × 9, 3 × 6 List the factors in order for each number. 12 1, 2, 3, 4, 6, 12 18 1, 2, 3, 6, 9, 18 Find the common factors. 1, 2, 3, 6 are factors of both 12 and 18. Find the greatest common factor (GCF). 6 is the greatest common factor of both 12 and 18. List factors. 1. List factors of 10. 2. List factors of 15. 3. List factors of 20. Find the common factors of each pair of numbers. 4. 10 and 15 5. 15 and 20 6. 10 and 20 Find the greatest common factor for each pair of numbers. 7. 10 and 15 8. 15 and 20 9. 10 and 20 Inc. © The McGraw-Hill Companies, Copyright 2276_S_G5_C09_SI_119817.indd76_S_G5_C09_SI_119817.indd 276276 112/07/122/07/12 55:41:41 PPMM Program: SI_Chart Component: SE PDF Pass Vendor: Laserwords Grade: 5 USING LESSON 9-A Name Find the Greatest Common Factor Lesson 9-A Lesson Goal • Find the common factors and List the factors. greatest common factor (GCF) of What Can I Do? I want to find the greatest What are the factors of 12 and 18? two numbers. common factor of two numbers. What the Student Needs to Factors of 12 1 × 12, 2 × 6, 3 × 4 Know Factors of 18 1 × 18, 2 × 9, 3 × 6 • Find factors. List the factors in order for each number. • Find the greatest number in a 12 1, 2, 3, 4, 6, 12 group of numbers. 18 1, 2, 3, 6, 9, 18 Find the common factors. Getting Started 1, 2, 3, 6 are factors of both 12 and 18. • Have students think of as many Find the greatest common factor (GCF). pairs of numbers as they can that 6 is the greatest common factor of both 12 and 18. have the following products. 9 (1×9, 3×3) List factors. 14 (1×14, 2×7) 1. List factors of 10. 1, 2, 5, 10 27 (1×27, 3×9) 2. List factors of 15. 1, 3, 5, 15 What Can I Do? 3. List factors of 20. 1, 2, 4, 5, 10, 20 Read the question and the response. Find the common factors of each pair of numbers. Then read and discuss the examples. 4. 10 and 15 1, 5 5. 15 and 20 1, 5 6. 10 and 20 1, 2, 5, 10 Ask: • How were the factors of 12 found? Find the greatest common factor for each pair of numbers. (Find pairs of numbers that have 7. 10 and 15 5 8. 15 and 20 5 9. 10 and 20 10 Inc. © The McGraw-Hill Companies, Copyright 12 as their product.) • How can you find the common factors of 12 and 18? (Look for numbers that are listed as factors for both 12 and 18.) • How can you tell 6 is the greatest 276_S_G5_C09_SI_119817.indd 276 12/07/12 5:41 PM common factor? (If 6 is compared to the other common factors 1, 2 WHAT IF THE STUDENT NEEDS HELP TO and 3, 6 is the largest number.) Try It Find Factors Find the Greatest Number • Ask: Can the greatest common • Have the student think of pairs in a Group of Numbers factors of two numbers be one of of numbers that multiply togeth- • Tell the student to draw a the two numbers? (Yes, for er to receive a product. Remind number line and then locate example: the greatest common him or her that the numbers each number on the line. factor of 6 and 24 is 6.) that are multiplied together are Remind the student that the • Have students share their called factors. For example, greatest number is the number strategy for finding the greatest in the number sentence that is farthest to the right on common factor. 6 × 3 = 18, the factors are 6 the number line. and 3. • Review ordering numbers. Have • Provide practice with students compare the digits in multiplication facts the student the greatest place first, then the has not yet mastered. digits in the next place, and so on. 2277_T_G5_C09_SI_119817.indd77_T_G5_C09_SI_119817.indd 227777 77/18/12/18/12 99:38:38 AAMM Program: SI_Chart Component: TE PDF 2nd Vendor: Laserwords Grade: 5 Name Mixed Numbers Lesson 9-B Write a number and a fraction. What Can I Do? I want to write mixed A mixed number includes a whole number and a numbers. fraction. The whole number shows the number of wholes. The fraction shows the number of remaining parts. To write the mixed number, write the whole number and the fraction together. Write the whole number first. This model shows 2 whole rectangles shaded. 1 __ It also shows 4 rectangle shaded. All together, the model shows the mixed 1 __ number 2 4 . Complete each sentence. Then write each mixed number. 1. 2. There are wholes. There is whole. The fraction is . The fraction is . The mixed number is . The mixed number is . Copyright © The McGraw-Hill Companies, Inc. © The McGraw-Hill Companies, Copyright 2278_279_S_G5_C09_SI_119817.indd78_279_S_G5_C09_SI_119817.indd 278278 112/07/122/07/12 77:01:01 PPMM Program: SI_Chart Component: SE PDF Pass Vendor: Laserwords Grade: 5 Name Complete each sentence. Then write each mixed number. Lesson 3. 4. 9-B There are wholes. There are whole. The fraction is . The fraction is . The mixed number is . The mixed number is . Write each mixed number. 5. 6. 7. 8. 9. 10. 11. 12. Copyright © The McGraw-Hill Companies, Inc. The McGraw-Hill Companies, © Copyright 2278_279_S_G5_C09_SI_119817.indd78_279_S_G5_C09_SI_119817.indd 279279 112/07/122/07/12 77:02:02 PPMM Program: SI_Chart Component: SE PDF Pass Vendor: Laserwords Grade: 5 USING LESSON 9-B Name Mixed Numbers Lesson 9-B Lesson Goal • Model and write mixed numbers. Write a number and a fraction. What Can I Do? I want to write mixed A mixed number includes a whole number and a What the Student Needs to numbers. fraction. The whole number shows the number of wholes. The fraction shows the number of Know remaining parts. • Model whole numbers and To write the mixed number, write the whole fractions. number and the fraction together. Write • Understand that mixed numbers the whole number first. combine a whole number and a This model shows fraction. 2 whole rectangles shaded. 1 It also shows __ rectangle Getting Started 4 shaded. • Review fractions with students. All together, the model shows the mixed 1 Draw a square on the board and number 2 __ . divide it into four equal parts. 4 3 __ Complete each sentence. Then write each mixed number. Write 4 on the board. Ask: How can 3 __ 1. 2. I shade 4 of this square? (Shade 3 3 __ out of the 4 parts.) Is 4 more or less 3 __ than 1? (less) Is 4 more or less than 0? (more) There are 3 wholes. There is 1 whole. 1 2 • Draw a number line on the board. __ __ 2 3 Label 0, 1, 2, 3, and 4. Ask: Where The fraction is . The fraction is . 1 2 1 3 __ 1 __ __ The mixed number is 2 .
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