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NYS COMMON CORE MATHEMATICS CURRICULUM Module Overview Lesson. Grade 5 Module 1,Place Value and Decimal Fractions. In Module 1 students understandings of the patterns in the base ten system are extended from Grade 4 s. work with place value to include decimals to the thousandths place In Grade 5 students deepen their. knowledge through a more generalized understanding of the relationships between and among adjacent. places on the place value chart e g 1 tenth times any digit on the place value chart moves the digit one. place value to the right 5 NBT 1 Toward the module s end students apply these new understandings as. they reason about and perform decimal operations through the hundredths place. Topic A opens the module with a conceptual exploration of the multiplicative patterns of the base ten system. using place value disks and a place value chart Students notice that multiplying by 1 000 is the same as. multiplying by 10 10 10 Since each factor of 10 shifts the digits one place to the left multiplying by 10. 10 10 which can be recorded in exponential form as 103 5 NBT 2 shifts the position of the digits to the. left 3 places thus changing the digits relationships to the decimal point 5 NBT 2 Application of these place. value understandings to problem solving with metric conversions completes Topic A 5 MD 1. Topic B moves into the naming of decimal fraction numbers in expanded unit e g 4 23 4 ones 2 tenths 3. hundredths and word forms and concludes with using like units to compare decimal fractions Now in. Grade 5 students use exponents and the unit fraction to represent expanded form e g 2 102 3 4. 200 34 5 NBT 3 Further students reason about differences in the values of like place value units. and express those comparisons with symbols and Students generalize their knowledge of rounding. whole numbers to round decimal numbers in Topic C initially using a vertical number line to interpret the. result as an approximation and then eventually moving away from the visual model 5 NBT 4. In the latter topics of Module 1 students use the relationships of adjacent units and generalize whole. number algorithms to decimal fraction operations 5 NBT 7 Topic D uses unit form to connect general. methods for addition and subtraction with whole numbers to decimal addition and subtraction. e g 7 tens 8 tens 15 tens 150 is analogous to 7 tenths 8 tenths 15 tenths 1 5. Topic E bridges the gap between Grade 4 work with multiplication. and the standard algorithm by focusing on an intermediate step. reasoning about multiplying a decimal by a one digit whole. number The area model with which students have had extensive. experience since Grade 3 is used as a scaffold for this work. Topic F concludes Module 1 with a similar exploration of division of. decimal numbers by one digit whole number divisors Students. solidify their skills with an understanding of the algorithm before. moving on to long division involving two digit divisors in Module 2. The Mid Module Assessment follows Topic C The End of Module. Assessment follows Topic F,Module 1 Place Value and Decimal Fractions. 2015 Great Minds eureka math org This work is licensed under a. G5 M1 TE 1 3 0 06 2015 Creative Commons Attribution NonCommercial ShareAlike 3 0 Unported License. NYS COMMON CORE MATHEMATICS CURRICULUM Module Overview Lesson. Notes on Pacing for Differentiation, If pacing is a challenge consider the following modifications and omissions Consolidate Lessons 9 and 10. because these lessons devote a day each to adding and subtracting with decimals If students are fluent with. addition and subtraction with whole numbers and their understanding of decimal place value is strong from. Grade 4 Module 6 and Grade 5 Module 1 Topic B practicing both addition and subtraction with decimals can. be done in one lesson Begin assessing students skill with addition and subtraction with whole numbers. during the fluency activity of Lesson 5 and spend a series of days doing so. Focus Grade Level Standards,Understand the place value system. 5 NBT 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. 5 NBT 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. Module 1 Place Value and Decimal Fractions, 2015 Great Minds eureka math org This work is licensed under a.

G5 M1 TE 1 3 0 06 2015 Creative Commons Attribution NonCommercial ShareAlike 3 0 Unported License. NYS COMMON CORE MATHEMATICS CURRICULUM Module Overview Lesson. 5 NBT 3 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. b Compare two decimals to thousandths based on meanings of the digits in each place. using and symbols to record the results of comparisons. 5 NBT 4 Use place value understanding to round decimals to any place. Perform operations with multi digit whole numbers and with decimals to hundredths 1. 5 NBT 7 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, Convert like measurement units within a given measurement system. 5 MD 1 Convert among different sized standard measurement units within a given measurement. system e g convert 5 cm to 0 05 m and use these conversions in solving multi step real. world problems 2,Foundational Standards, 4 NBT 1 Recognize that in a multi digit whole number a digit in one place represents ten times what it. represents in the place to its right For example recognize that 700 70 10 by applying. concepts of place value and division, 4 NBT 3 Use place value understanding to round multi digit whole numbers to any place. 4 NF 5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100 and. use this technique to add two fractions with respective denominators 10 and 100 Students. who can generate equivalent fractions can develop strategies for adding fractions with unlike. denominators in general But addition and subtraction with unlike denominators in general is. not a requirement at this grade For example express 3 10 as 30 100 and add 3 10 4 100. 4 NF 6 Use decimal notation for fractions with denominators 10 or 100 For example rewrite 0 62 as. 62 100 describe a length as 0 62 meters locate 0 62 on a number line diagram. 4 NF 7 Compare two decimals to hundredths by reasoning about their size Recognize that. comparisons are valid only when the two decimals refer to the same whole Record the. results of comparisons with the symbols or and justify the conclusions e g by using a. visual model, The balance of this cluster is addressed in Module 2. The focus in this module is on the metric system to reinforce place value and writing measurements using mixed units This standard. is addressed again in later modules,Module 1 Place Value and Decimal Fractions.

2015 Great Minds eureka math org This work is licensed under a. G5 M1 TE 1 3 0 06 2015 Creative Commons Attribution NonCommercial ShareAlike 3 0 Unported License. NYS COMMON CORE MATHEMATICS CURRICULUM Module Overview Lesson. 4 MD 1 Know relative sizes of measurement units within one system of units including km m cm kg. g lb oz l ml hr min sec Within a single system of measurement express measurements. in a larger unit in terms of a smaller unit Record measurement equivalents in a two column. table For example know that 1 ft is 12 times as long as 1 in Express the length of a 4 ft. snake as 48 in Generate a conversion table for feet and inches listing the number pairs 1 12. 4 MD 2 Use the four operations to solve word problems involving distances intervals of time liquid. volumes masses of objects and money including problems involving simple fractions or. decimals and problems that require expressing measurements given in a larger unit in terms. of a smaller unit Represent measurement quantities using diagrams such as number line. diagrams that feature a measurement scale,Focus Standards for Mathematical Practice. MP 6 Attend to precision Students express the units of the base ten system as they work with. decimal operations expressing decompositions and compositions with understanding e g 9. hundredths 4 hundredths 13 hundredths I can change 10 hundredths to make 1 tenth. MP 7 Look for and make use of structure Students explore the multiplicative patterns of the base. ten system when they use place value charts and disks to highlight the relationships between. adjacent places Students also use patterns to name decimal fraction numbers in expanded. unit and word forms, MP 8 Look for and express regularity in repeated reasoning Students express regularity in. repeated reasoning when they look for and use whole number general methods to add and. subtract decimals and when they multiply and divide decimals by whole numbers Students. also use powers of ten to explain patterns in the placement of the decimal point and. generalize their knowledge of rounding whole numbers to round decimal numbers. Overview of Module Topics and Lesson Objectives,Standards Topics and Objectives Days. 5 NBT 1 A Multiplicative Patterns on the Place Value Chart 4. 5 NBT 2 Lesson 1 Reason concretely and pictorially using place value. 5 MD 1 understanding to relate adjacent base ten units from millions to. thousandths, Lesson 2 Reason abstractly using place value understanding to relate. adjacent base ten units from millions to thousandths. Lesson 3 Use exponents to name place value units and explain patterns. in the placement of the decimal point, Lesson 4 Use exponents to denote powers of 10 with application to.

metric conversions,Module 1 Place Value and Decimal Fractions. 2015 Great Minds eureka math org This work is licensed under a. G5 M1 TE 1 3 0 06 2015 Creative Commons Attribution NonCommercial ShareAlike 3 0 Unported License. NYS COMMON CORE MATHEMATICS CURRICULUM Module Overview Lesson. Standards Topics and Objectives Days, 5 NBT 3 B Decimal Fractions and Place Value Patterns 2. Lesson 5 Name decimal fractions in expanded unit and word forms by. applying place value reasoning, Lesson 6 Compare decimal fractions to the thousandths using like units. and express comparisons with, 5 NBT 4 C Place Value and Rounding Decimal Fractions 2. Lessons 7 8 Round a given decimal to any place using place value. understanding and the vertical number line, Mid Module Assessment Topics A C assessment day return day 2.

remediation or further applications 1 day,5 NBT 2 D Adding and Subtracting Decimals 2. 5 NBT 3 Lesson 9 Add decimals using place value strategies and relate those. 5 NBT 7 strategies to a written method, Lesson 10 Subtract decimals using place value strategies and relate those. strategies to a written method,5 NBT 2 E Multiplying Decimals 2. 5 NBT 3 Lesson 11 Multiply a decimal fraction by single digit whole numbers. 5 NBT 7 relate to a written method through application of the area. model and place value understanding and explain the. reasoning used, Lesson 12 Multiply a decimal fraction by single digit whole numbers. including using estimation to confirm the placement of the. decimal point,5 NBT 3 F Dividing Decimals 4, 5 NBT 7 Lesson 13 Divide decimals by single digit whole numbers involving easily.

identifiable multiples using place value understanding and. relate to a written method, Lesson 14 Divide decimals with a remainder using place value. understanding and relate to a written method, Lesson 15 Divide decimals using place value understanding including. remainders in the smallest unit, Lesson 16 Solve word problems using decimal operations. End of Module Assessment Topics A F assessment day return day 2. remediation or further applications 1 day,Total Number of Instructional Days 20. Module 1 Place Value and Decimal Fractions, 2015 Great Minds eureka math org This work is licensed under a.

G5 M1 TE 1 3 0 06 2015 Creative Commons Attribution NonCommercial ShareAlike 3 0 Unported License. NYS COMMON CORE MATHEMATICS CURRICULUM Module Overview Lesson. Terminology,New or Recently Introduced Terms,EXPRESSION EQUATION. Exponent how many times a number is to be used in a AND NUMBER SENTENCE. multiplication sentence Please note the descriptions for the. Millimeter a metric unit of length equal to following terms which are frequently. one thousandth of a meter misused, Thousandths related to place value Expression A number or any. combination of sums,differences products or, Familiar Terms and Symbols 3 divisions of numbers that. evaluates to a number e g 3,greater than less than equal to. 4 8 3 15 3 as distinct from, Base ten units place value units an equation or number.

Bundling making renaming changing regrouping sentence. trading Equation A statement that two,expressions are equal e g 3. Centimeter cm a unit of measure equal to one 12 5 b 20 3 2 5. hundredth of a meter Number sentence also addition. Digit any of the numbers 0 to 9 e g what is the value subtraction multiplication or. Grade 4 Module 6 and Grade 5 Module 1 Topic B practicing both addition and subtraction with decimals can be done in one lesson Begin assessing students skill with addition and subtraction with whole numb ers during the fluency activity of Lesson 5 and spend a series of days doing so Focus Grade Level Standards

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