2015-2016 Curriculum Blueprint Grade: 5 Course: Mathematics Topic 2 – Add and Subtract Decimals to Hundredths Flexible Time Line 8 days Topic Overview Topic 2 focuses on deep understanding of decimal addition and subtraction to the hundredths place. The students will use visual models and strategies, including the standard algorithms. Vertical Progression 4th Grade: The students will be able to perform whole-numbers operations, multiply fractions, and write fractions in decimal notation. 6th Grade: The students will be able to evaluate expression including decimals and exponents and fluently complete operations with both whole-numbers and decimals. Learning Goal Essential Question Students will be able to estimate decimal sums and differences, as well as add and How can sums and differences of decimals be estimated? subtract decimals through the use of various strategies. What are the standard procedures for adding and subtracting decimals? Topic 2 Scale How can sums and differences be found mentally? Textbook Correlation Recommended Instructional Sequence Essential Vocabulary *Be selective in choosing problems aligned to the standards Step 1: Problem-Based Learning “Solve and Share” Associative Property within the topic. Lessons and problems used for instruction Problem-Based Learning Lesson Flow Map of Addition and assessment should be determined through collaborative Conceptual understanding is developed when mathematics is Commutative unit planning. introduced in the context of solving a real problem in which Property of Addition ideas related to the new content are embedded. Conceptual compatible numbers Topic 2: Add and Subtract Decimals to Hundredths understanding results because the process of solving a problem compensation Lesson 2-1: Mental Math requires students to connect their prior knowledge with the new Lesson 2-2: Estimate Sums and Differences concept or procedure (Charles, R., Bay-Williams, J., et al., 2016). Lesson 2-3: Use Models to Add and Subtract Decimals Lesson 2-4: Add Decimals (combine with Lesson 2-5) Each lesson in the book begins with a Solve and Share. See the Lesson 2-5: Subtract Decimals (combine with Lesson 2-4) links below for additional tasks to be used as needed: Lesson 2-6: Add and Subtract Decimals Lesson 2-7: Math Practices and Problem Solving: Model with Math Formative Assessment System (MFAS) Tasks by Standard Math Illustrative Mathematics Tasks by Standard Step 2: “Visual Learning Bridge” Enhance student learning by connecting student thinking and solutions from the Solve and Share to the new ideas of the lesson through the use of the worked-out problem in the textbook. Deconstructed Standards MAFS.5.NBT.1.4 (DOK 1) Use place value understanding to round decimals to any place. Use knowledge of base ten and place value to round decimals to any place. *Focus on addition and subtraction in this unit for standard below MAFS.5.NBT.2.7 (DOK 2) Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Add, subtract, multiply, and divide decimals to hundredths using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. (multiplication and division will be addressed in Topic 4 and Topic 6) Relate the strategy to a written method and explain the reasoning used to solve decimal operation calculations. Math Practice Standard(s) Link to Mathematical Practice Standards Rubric MAFS.K12.MP.4.1 Model with mathematics. MAFS.K12.MP.7.1 Look for and make use of structure. Additional Resources & Links Higher Order Questions & Writing Connections Link to Webb’s DOK Guide Georgia Units *Higher order questions should be utilized to foster a deep, conceptual Unit 2: Adding and Subtracting with Decimals understanding of the topic. Encouraging students to express their Ten is the Winner mathematical thinking in writing helps them solidify their learning. It All Adds Up Check This Why is place value important when adding and subtracting whole numbers and decimals? EngageNY - Module 1 How can you use your understanding of adding and subtracting Topic D: Lessons 9-10 whole numbers to add and subtract decimals? Why is it important to be able to estimate decimal value? www.PearsonRealize.com: How can mental math help me in solving decimal addition and Home School Connection subtraction problems? Reteach to Build Understand Pages How can I solve decimal addition and subtraction problems using Professional Development Videos models? Write to explain how you used your understanding of place value to Marzano Proficiency Scales Bank solve the problem. Identify the error made in the given solution strategy. Write to Math Formative Assessment System (MFAS) Tasks by Standard explain what error was made and how to correct the error. CPALMS - MFAS includes tasks and rubrics that the teacher can implement with their students. Illustrative Mathematics Tasks by Standard The site illustrates standards with impeccably crafted tasks, videos, lesson plans, and curriculum modules. Common Core Flip Books: Provides additional information and sample problems for every standard FSA Test Item Specifications Spiral Review *Consistent review of previously learned standards allows students multiple opportunities to master and build fluency with mathematical concepts and procedures. www.pearsonrealize.com Daily Review 2-1 through 2-7
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