HAZLETON AREA SCHOOL DISTRICT DISTRICT UNIT/LESSON PLAN Teacher Name : Cvammen Subject : Math Start Date(s): 12/14 Grade Level (s): Fifth Building : Heights-Terrace Unit Plan Unit Title: Fractions Essential Questions: How can I use equivalent fractions to add and subtract fractions and mixed numbers? What strategies do I use to multiply fractions and mixed numbers? How can I recognize when the product of two fractions is greater or less than the given number? What strategies can I use to divide fractions? Standards: Standard: CC.2.1.5.C.1 Use the understanding of equivalency to add and subtract fractions. Descriptor: M05.A‐F.1.1 Solve addition and subtraction problems involving fractions (straight computation or word problems). Eligible Content: M05.A-F.1.1.1 Add and subtract fractions (including mixed numbers) with unlike denominators. (May include multiple methods and representations.) Example: 2/3 + 5/4 = 8/12 + 15/12 = 23/12 Standard: CC.2.1.5.C.2 Apply and extend previous understandings of multiplication and division to multiply and divide fractions. Descriptor: M05.A-F.2.1 Solve multiplication and division problems involving fractions and whole numbers (straight computation or word problems). Eligible Content: M05.A-F.2.1.1 Solve word problems involving division of whole numbers leading to answers in the form of fractions (including mixed numbers). M05.A-F.2.1.2 Multiply a fraction (including mixed numbers) by a fraction. M05.A-F.2.1.3 Demonstrate an understanding of multiplication as scaling (resizing). Example 1: Comparing the size of a product to the size of one factor on the basis of the size of the other factor without performing the indicated multiplication. Example 2: Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number. M05.A-F.2.1.4 Divide unit fractions by whole numbers and whole numbers by unit fractions. Summative Unit Assessment: Unit 6 District Exam Students will: Add like fractions and solve word problems involving the addition of like fractions. Summative Assessment Objective Assessment Method (check one) ____ Rubric ___ Checklist X Unit Test X Group X Student Self-Assessment Subtract like fractions and solve word problems involving the subtraction of like fractions. ____ Other (explain) Use models to add unlike fractions. Add unlike fractions and solve word problems involving the addition of unlike fractions. Use models to subtract unlike fractions. Subtract unlike fractions and solve word problems involving the subtraction of unlike fractions. Solve problems by determining reasonable answers. Explore adding mixed numbers using models. Add mixed numbers and solve word problems involving the addition of mixed numbers. Subtract mixed numbers and solve word problems involving the subtraction of mixed numbers. Use fraction equivalence to subtract with renaming. Explore how to find part of a number. Estimate products of fractions using compatible numbers and rounding. Explore multiplying whole numbers and fractions using models. Multiply whole numbers and fractions. Explore using models to multiply a fraction by a fraction. Multiply fractions. Multiply mixed numbers. Interpret multiplication of fractions as scaling. Divide whole numbers by unit fractions using models. Use bar diagrams to divide whole numbers by unit fractions. Use bar diagrams to divide unit fractions by whole numbers. Solve problems by drawing a diagram. Day Objective (s) Add like fractions and solve word problems involving the addition of like fractions. DOK LEVEL 1 2 3 Grouping DAILY PLAN Activities / Teaching Strategies Explanation W Study Island PACCS 3a Guided Practice S Subtract like fractions and solve word problems involving the subtraction of like fractions. Independent Practice Use models to add unlike fractions. Study Island Text Chapter 9 Lesson 2 – 8, 10 - 13 I Centers 1 Add unlike fractions and solve word problems involving the addition of unlike fractions. Materials / Resources Accelerated Math CC Grade 5 Objectives 48 – 57, 60 – 61, 63 - 64 Assessment of Objective (s) FormativeThumbs Up/Down Fingers Showing Correct Multiple-Choice Answers Checking Study Work Teacher Questioning Summative- Written Quiz Student Self - AssessmentChecking Answers on Written Work Pair/Share Use models to subtract unlike fractions. Subtract unlike fractions and solve word problems involving the subtraction of unlike fractions. Solve problems by determining reasonable answers. Explore adding mixed numbers using models. Add mixed numbers and solve word problems involving the addition of mixed numbers. Subtract mixed numbers and solve word problems involving the subtraction of mixed numbers. Use fraction equivalence to subtract with renaming. 2 See above 3 See above 4 See above 5 See above 6 See above 7 See above 8 See above 9 See above 10 See above 11 See above 12 See above 13 See above 14 See above 15 See above Explore how to find part of a number. 1 2 3 Estimate products of fractions using compatible numbers and rounding. Explanation W Guided Practice S Independent Practice Text Chapter 10 Lessons 1 - 7 I Centers Explore multiplying whole numbers and fractions using models. 16 Study Island PACCS 3b Accelerated Math CC Grade 5 Objectives 72 – 75, 78 - 79 Study Island FormativeThumbs Up/Down Fingers Showing Correct Multiple-Choice Answers Checking Study Work Teacher Questioning Summative- Written Quiz Student Self - AssessmentChecking Answers on Written Work Pair/Share Multiply whole numbers and fractions. Explore using models to multiply a fraction by a fraction. Multiply fractions. Multiply mixed numbers. 17 See above 18 See above 19 See above 20 See above 21 See above 22 See above 23 See above 24 See above 25 See above 26 Interpret multiplication of fractions as scaling. 1 2 3 Explanation W Guided Practice S Independent Practice I Study Island PACCS 3b Text Chapter 10 Lessons 8 FormativeThumbs Up/Down Fingers Showing Correct Multiple-Choice Answers Checking Study Work Teacher Questioning Centers Accelerated Math CC Grade 5 Objective 77 Study Island Summative- Written Quiz Student Self - AssessmentChecking Answers on Written Work Pair/Share 27 See above Divide whole numbers by unit fractions using models. Use bar diagrams to divide whole numbers by unit fractions. 28 Use bar diagrams to divide unit fractions by whole numbers. Solve problems by drawing a diagram. Explanation Study Island PACCS 3c Guided Practice 1 2 3 W Independent Practice S FormativeThumbs Up/Down Fingers Showing Correct Multiple-Choice Answers Checking Study Work Teacher Questioning Text Chapter 10 Lessons 9 - 12 Summative- Written Quiz Centers I Study Island 29 See above 30 See above 31 See above 32 See above 33 See above Accelerated Math CC Grade 5 Objectives 80 - 86 Student Self - AssessmentChecking Answers on Written Work Pair/Share