2014-2015 Curriculum Blueprint Grade: 5 Course: Math Approximate Time: 10 days Unit 3: Expanding Understanding of Place Value Decimals Learning Goal Students will extend their understanding of the concepts and patterns in the base ten number system of place value to include decimal values to thousandths and powers of ten. Link to Decimal Concepts Learning Scale (remove rounding under 3.0) Unit Overview Students expand their previous understanding of place value to include decimal numbers. Grade 5 is the last grade in which the NBT domain appears. Later work in the base-ten system relies on the meanings and properties of operations. This also contributes to deepening understanding of computation and algorithms in the new domains that start in Grade 6. Essential Question(s) How can understanding place value help you solve problems involving decimals? How can you represent the relationship between adjacent base ten units from millions to thousandths? Focus Standards Bullets are the deconstructed standards These should be used to develop concise learning statements/daily objectives/scales. Grade 5 Test Item Specifications Vertical Progression http://www.turnonccmath.net/ K-8 Learning Trajectories (This could be used to determine remediation needs or enrichment opportunities) MAFS.5.NBT.1.1 (DOK 1) Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Recognize that in a multi-digit number, a digit in the one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. 4th grade Students recognize that multi-digit whole numbers a digit in one place represents ten times what it represents to its right. Students compare decimals through hundredths. MAFS.5.NBT.1.2 (DOK 2) Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Translate between powers of 10 written as 10 raised to a whole number exponent, in expanded form, and standard notation. Explain the patterns in the number of zeros of the product when multiplying a number by powers of 10. Explain the relationship of the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Represent powers of 10 using whole number exponents. MAFS.5.NBT.1.3.a (DOK 2) Read, write, and compare decimals to thousandths. a) Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000). Read and write decimals to thousandths using base-ten numerals, number names, and expanded form. 6th grade Students understand that positive and negative numbers are used together to describe quantities having opposite directions or values, use positive and negative numbers to represent quantities in real world situations Resources *Be selective in choosing problems aligned to the standards within each lesson. Textbook Correlation 4th Grade Go Math Textbook 8.6 Place Value relationships 8.7 Model Thousandths 8.8 Decimals to Thousandths 5th Grade Go Math Textbook 4.1 Introduction to Exponents Supplemental Resources These resources may provide students with experiences aligned to the full intent of the standards. It is important to access many of these resources during the planning process. Essential Vocabulary Base-ten Pattern numeral Place Compare Powers of 10 Decimal Thousandth Decimal point Value Digit Whole number Expanded form Exponent Higher Order Questions/Stems How can you represent a quantity as a multiple of ten? Why is that number greater than the other? How can we use models to demonstrate decimal values? Updated 08/18/14 pg. 1 2014-2015 Curriculum Blueprint Grade: 5 Course: Math Approximate Time: 10 days Unit 3: Expanding Understanding of Place Value Decimals Mathematical Practice Standards Link to Mathematical Practice Standards Rubric MAFS.K12.MP.6.1 Attend to precision. MAFS.K12.MP.7.1 Look for and make use of structure. 5th Grade Common Core Flip Book Provides additional information and sample problems for every standard Engage B NY Module 1 Topic a and b (Place Value and Decimal Fractions) Georgia Unit 1 - Patterns R Us (see Patterns R Us p. 54) Performance Task - Decimals Video - Intro to Decimals (log into Safari Montage) Video - Place Value Decimals (Safari Montage) Learnzillion - Tutorial on Decimal Place Value Decimal Place Value - Interactive Game Illustrative Mathematics Tasks Search for tasks by standard Why is place value different from digit value? How does the position of a number determine its value? Writing Connections Write to explain and justify how you reached your answer. Compare and Contrast two numbers according to their place value. Write to explain why the position of a number determines the value. Writing Template Tasks These template tasks are designed from the Mathematical Practice Standards. When filled in, these templates become teaching tasks that create opportunities for teaching literacy skills in mathematics. Link to Problem Solving Rubric Link to Webb’s DOK Guide Florida Interim Assessment Item Bank and Test Platform Updated 08/18/14 pg. 2
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