MPS Mathematics – 2016-2017 Lesson Pacing Guide – Grade 5 enVisionmath2.0 Topic 5: Use Models and Strategies to Divide Whole Numbers Common Core State Standards for Mathematics Mathematical Practice Standards Weeks 11-12 Mathematical Content Standards Domain: Number and Operations in Base Ten Cluster: 5.NBT.B Perform operations with multi-digit whole numbers and with decimals to hundredths. Standard(s): 5.NBT.B.6 MP.1 MP.2 MP.3 MP.4 MP.5 MP.6 Cluster: 5.NBT.A Understand the place value system. Standard(s): 5.NBT.A.2 MP.7 MP.8 All 8 standards are connected to content and addressed within lessons; see TE for examples. A specific lesson is devoted to standard(s) in bold. Topics 2-6 Content Focus Topics 2-6 focus on deep understanding of whole-number and decimal operations. Students use the standard multiplication algorithm to fluently multiply multi-digit numbers. They use models and strategies, including standard algorithms, to divide with 2-digit numbers divisors and to perform all four operations on decimals through hundredths. In Topic 5, students use patterns to divide by multiples of 10, and students estimate quotients. Students use area models, partial quotients, and the relationship between multiplication and division to find quotients of multi-digit whole numbers. This work leads to use of the standard algorithm for dividing multi-digit whole numbers. Multiply and Divide Whole Numbers Divide Using Models and Partial Quotients Divide Using the Standard Algorithm For more details see enVisionmath2.0 Grade 5 Teacher Edition, Topics 2-6 Math Background: Focus (TE p. 55A-B) Program Materials To fully develop the mathematical concepts in this unit, the suggested pacing has been extended. This extended time period includes assessments, which can be used as evidence for the district Standards-Based Report Card. The components of each lesson support the daily use of the MPS instructional design (LESA) with multiple opportunities to explore and summarize. The components of each lesson are outlined below, with recommendations for teachers to support meaningful learning for students and maximize instructional time. As always, teachers should make instructional decisions based on students’ needs and professional judgement. Created 6/2016 Page 1 of 2 MPS Mathematics – 2016-2017 Lesson Pacing Guide – Grade 5 enVisionmath2.0 Topic 5 10 days Topic Essential Questions: What is the standard procedure for division and why does it work? Topic Opener: Review What You Know; Home-School Connection; Vocabulary Review Activity; Optional: Math and Science Project Visual Learning Problem-Based Launch-Explore-Summarize Assess and Differentiate Lessons Math Practices Learning Launch-Explore-Summarize Convince Guided Independent Launch-Explore-Summarize Me Practice Practice and Problem Solving Lesson 5.1 yes yes 1-3 10-11, 17-19 26-32 Lesson 5.2 yes yes 1-3 14-16 23-28 Lesson 5.3 yes yes 1-2 6-9 13-19 Lesson 5.4 yes yes 1-3 7-10 17-24 Lesson 5.5 yes yes 1-4 5, 11-13 14-19 Lesson 5.6 yes yes 1-5 9-11 15-20 Lesson 5.7 yes yes 1-4 12-15 16-21 Lesson 5.8 yes yes all 4-5 6-10 Differentiate based on the results of Quick Check Differentiate based on the results of Quick Check Differentiate based on the results of Quick Check Differentiate based on the results of Quick Check Differentiate based on the results of Quick Check Differentiate based on the results of Quick Check Differentiate based on the results of Quick Check Differentiate based on the results of Quick Check Fluency Practice: optional, as needed; consider using outside the math block Vocabulary Review: optional, as needed; consider using outside the math block Reteaching: optional, as needed Assessments: There are multiple assessment options for each topic; these are available in the Student’s Edition, the Assessment Sourcebook, and/or as an Online Assessment. Teachers can choose which to use (or use more than one to vary assessments, minimize student copying, and/or provide retake opportunities). See Teacher’s Edition Program Overview p. 73 for details. Topic Assessment Topic Performance Assessment Additional Resources Available on Pearson EasyBridge Online Platform Grade Level Math Practices and Problem Solving Handbook Math Practices Animations Teaching Tools ELL Toolkit Math Diagnosis and Intervention System (MDIS) Topic Level Animated Math Stories (Gr K-2) Problem Solving Reading Mats Game Center Lesson Level Daily Common Core Review (optional) Today’s Challenge (optional) Visual Learning Animation Plus Evidence for Standards-Based Grading Created 6/2016 Page 2 of 2
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