Grade 5 – Unit 1 (38 Days) Words Important for This Unit Subject Specific Words Computation Conclusive Add Algorithm Area Model

Franklin Township Public Schools Math Guidance Document

Grade 5 – Unit 1 (38 Days) Words Important for this Unit Subject Specific Words Computation Conclusive add algorithm area model

Evaluate Emphasize array (rectangular array) base (of an exponent) base-ten number system

Proportion Valid base-ten numeral braces brackets

resources decimal decimal fraction decimal point

difference dividend divisible

divide divisor equation

estimate evaluate expanded form

exponent (power) expression greater than

grouping symbol hundredth(s) improper fraction

less than long division multiple

multiply numerical expression Order of Operations

parentheses partial product partial quotient

pattern period place value

powers of ten product quotient

reasonableness remainder rounding

standard form sum tenth(s)

thousandth(s)

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Franklin Township Public Schools Math Guidance Document

Grade 5 – Unit 1 (38 Days) Topic & # Content Standards & Math Critical Knowledge & Skills Possible Resources Days Practices Order of 5.OA.A.1. Use parentheses, Obj. We are learning to: Evaluate numerical -Example Order of Operations Anchor Chart Operations: brackets, or braces in expressions that contain parentheses, brackets and -provide examples and non-examples 5 days numerical expressions, and braces. -5.OA.A.1 Using Operations and Parentheses evaluate expressions with -5.OA.A.1 Bowling For Numbers these symbols. Essential Question: Why do we need order in what -Bryantschools.org Common Core Resources -mrnussbaum.com CC we do? MP.1 Make sense of problems -mrnussbaum.com Save The Royals Game and persevere in solving them. -Order of Operations Rap MP.5 Use appropriate tools Suggested Formative Assessment: -Flocabulary Order of Operations strategically. -5.OA.A.1 Watch out for Parentheses 1 -Flocabulary.com: PEMDAS MP.8 Look for and express -Howard County 5.OA.1 -Kahn Academy Videos regularity in repeated -iReady -Math is Fun – Using Brackets reasoning. -North Carolina 5.OA.1 Tasks -Illuminations – Order of Operations Bingo

Suggested Mentor Text: -Shared Drive: 5.OA.1 Documents

-K-5 Math Teaching Resources: Target Number Dash Numerical Expressions Clock

-LearnZillion Resources 5.OA.1 5.OA.1 5.OA.1 5.OA.1

-Howard County Centers 5.OA.1

-EnVisions 2.0 Lessons: 13-1 Order of Operations 13-2 Evaluate Expressions

-EngageNY Module 4: Lesson 10 Evaluate Expressions with Parentheses Lesson 33 Create Story Contexts for Numerical Expressions and Tape Diagrams & Solve

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Franklin Township Public Schools Math Guidance Document Expressions: 5.OA.A.2. Write simple Obj. We are learning to: Write numerical expressions -Example Simple Expressions Anchor Chart (or 4 days expressions that record when given a verbal description or word problem; activity…) calculations with numbers, interpret numerical expressions without evaluating -Bryantschools.org Common Core Resources and interpret numerical them. -order-of-operations-activity expressions without -MentalMathGame evaluating them. -Mathplaygound.com Essential Question: Math is a different language. For example, express the -Seeing is Believing calculation “add 8 and 7, How do we translate verbal ideas to the language of -Words to Expressions then multiply by 2” as 2 × (8 mathematics? -Kahn Academy Videos + 7). Recognize that 3 × (18932 + 921) is three times Suggested Formative Assessment: -Shared Drive: as large as 18932 + 921, -5.OA.A.2 Comparing Products 5.OA.2 Documents without having to calculate -5.OA.A.2 Video Game Scores the indicated sum or -Howard County 5.OA.2 -K-5 Math Teaching Resources: product. -iReady Equivalent Expressions Match -North Carolina 5.OA.2 Tasks MP.1 Make sense of problems -LearnZillion Resources 5.OA.2 5.OA.2 5.OA.2 and persevere in solving them. Suggested Mentor Text: MP.2 Reason abstractly and -Howard County Centers 5.OA.2 quantitatively. MP.7 Look for and make use of -EnVisions 2.0 Lessons: structure. 13-3 Write Numerical Expressions MP.8 Look for and express 13-4 Interpret Numerical Expressions regularity in repeated reasoning -EngageNY Module 2: Lesson 3 Write & Interpret Numerical Expressions Using Visual Models Place 5.NBT.A.1. Recognize that Obj. We are learning to: Explain that a digit in one -Example Powers of Ten Anchor Chart Value: 5 in a multi-digit number, a place represents 1/10 of what it would represent in -Example Decimal Place Value Anchor Chart days digit in one place the place to its left and ten times what it would Create place value chart and model the value of a represents 10 times as represent in the place to its right. digit as it moves from place to place much as it represents in the (greater/smaller) place to its right and 1/10 -5.NBT.A.1 Which number is it? Essential Question: How does the position of a digit of what it represents in the -Bryantschools.org Common Core Resources place to its left. in a large number affect its value? -PBS Video -Mr. Nussbaum - Decimals of the Caribbean - Game MP.2 Reason abstractly and Suggested Formative Assessment: -Mr. Nussbaum - Place Value Pirates - Game quantitatively. -5.NBT.A.1 Millions and Billions of People -Learn Alberta – Place Value Lessons

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Franklin Township Public Schools Math Guidance Document MP.6 Attend to precision. -Howard County 5.NBT.1 MP.7 Look for and make use of -iReady -Shared Drive: structure. -North Carolina 5.NBT.1 Tasks 5.NBT.1 Documents

Suggested Mentor Text: -K-5 Math Teaching Resources: Comparing Digits Place Value by Danielle Carroll Place Value Concentration Place Value by Newbridge Decimal Place Value Strategies

-LearnZillion Resources 5.NBT.1 5.NBT.1 5.NBT.1 5.NBT.1 5.NBT.1

-Howard County Centers 5.NBT.1

-EnVisions 2.0 Lessons: 1-2 Understand Whole Number Place Value 1-3 Decimals to Thousandths 1-4 Understand Decimal Place Value

-EngageNY Module 1: Lesson 1 Reason Concretely and Pictorially Using Place Value Lesson 2 Reason Abstractly Using Place Value Place Value 5.NBT.A.2. Explain patterns Obj. We are learning to: Explain patterns in the -Example Powers of Ten Anchor Chart – Powers of in the number of zeros of number of zeros in the product when a whole -Cosmic Voyage Clip - narrated by Morgan Freeman 10: 3 days the product when number is multiplied by a power of 10; represent -Powers of 10 - Charles and Ray Eames (original multiplying a number by powers of 10 using whole-number exponents. movie clip) powers of 10, and explain -The Scale of the Universe - Powers of Ten - patterns in the placement Demonstration Model – Essential Question: Are there patterns to big of the decimal point when a -Bryantschools.org Common Core Resources decimal is multiplied or numbers? -BrainPop: scientific notation divided by a power of 10. -Scientific Notation Use whole-number Suggested Formative Assessment: -Worksheets (TPT) exponents to denote -Howard County 5.NBT.2 -OnlineMathLearning.com powers of 10. -iReady -YouTube Base 10 -North Carolina 5.NBT.2 Tasks -YouTube PV Video MP.2 Reason abstractly and -Literacy Connection: On Beyond a Million: An quantitatively. Suggested Mentor Text: Amazing Math Journey

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Franklin Township Public Schools Math Guidance Document MP.6 Attend to precision. On Beyond a Million: An Amazing Math Journey by MP.7 Look for and make use of David M. Schwartz -Shared Drive: structure. Millions, Billions, & Trillions: Understanding Place 5.NBT.2 Documents Value by David A. Adler Count To a Million by Jerry Pallotta -K-5 Math Teaching Resources: Multiplying A Whole # by Power of 10 If You Made a Million by David M. Schwartz Multiplying A Decimal by Power of 10 Dividing Whole # by Power of 10

-LearnZillion Resources 5.NBT.2 5.NBT.2 5.NBT.2 5.NBT.2 5.NBT.2

-Howard County Centers 5.NBT.2

-EnVisions 2.0 Lessons: 1-1 Patterns with Exponents and Powers of 10 3-1 Multiply Greater Numbers by Powers of 10 4-1 Multiply Decimals by Powers of 10

-EngageNY Module 1: Lesson 3 Use Exponents to Name Place Value Units Place Value 5.NBT.A.3. Read, write, and Obj. We are learning to: Compare two decimals to -Example Comparing Decimals Anchor Chart – Decimals: compare decimals to thousandths using >, =, and < for numbers presented -Example Number Forms Anchor Chart (include Read, thousandths. as base ten numerals, number names, and/or in decimals) Write, 5.NBT.A.3a. Read and expanded form. -Example Place Value Anchor Chart (include Compare: 4 write decimals to decimals and base ten numerals) -Model comparing decimals using number lines, days thousandths using Essential Question: How does the position of a digit base-ten pieces and using equivalent denominators base-ten numerals, in a small number affect its value? -Bryantschools.org Common Core Resources number names, and -Learn Alberta – Comparing Decimals Lessons expanded form, e.g., Suggested Formative Assessment: -Kahn Academy Video 347.392 = 3 × 100 + 4 × -5.NBT.A.3 Placing Thousandths on the Number Line -Worksheets (TPT) 10 + 7 × 1 + 3 × (1/10) + -Howard County 5.NBT.3 -YouTube Video 9 × (1/100) + 2 × -iReady -Study Jams -OnlineMathLearning.com (1/1000). -North Carolina 5.NBT.3 Tasks -Bridges in Math Multiplying Decimals (Powers of 5.NBT.A.3b. Compare Suggested Mentor Text: 10)

two decimals to

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Franklin Township Public Schools Math Guidance Document thousandths based on On Beyond a Million: An Amazing Math Journey by -Shared Drive: meanings of the digits David M. Schwartz 5.NBT.3 Documents in each place, using >, Millions, Billions, & Trillions: Understanding Place -K-5 Math Teaching Resources: =, and < symbols to Value by David A. Adler Count To a Million by Jerry Pallotta Hunt for Decimals record the results of Representing Decimals If You Made a Million by David M. Schwartz comparisons. Comparing Decimals

MP.2 Reason abstractly and -LearnZillion Resources 5.NBT.3a 5.NBT.3a quantitatively. 5.NBT.3a 5.NBT.3b 5.NBT.3b 5.NBT.3b 5.NBT.3b MP.4 Model with mathematics. MP.5 Use appropriate tools -Howard County Centers 5.NBT.3 strategically. MP.6 Attend to precision. -EnVisions 2.0 Lessons: MP.7 Look for and make use of 1-5 Compare Decimals structure. -EngageNY Module 1: Lesson 4 Use Place Value to Denote Powers of Ten Lesson 5 Name Decimal Fractions in Expanded, Unit and Word Forms Lesson 6 Compare Decimal Fractions to the Thousandths Place Value 5.NBT.A.4. Use place value Obj. We are learning to: Round decimals to any -Example Rounding Decimals Anchor Chart - Rounding: understanding to round place value. -Model rounding decimals; demonstrate finding 3 days decimals to any place. decimals between numbers on a number line Essential Question: When is estimation more -Practice rounding through estimation word appropriate than finding the ‘right’ answer? problems. MP.2 Reason abstractly and -Bryantschools.org Common Core Resources Essential Question: What are strategies to make a quantitatively. -Rounding practice MP.6 Attend to precision. reasonable estimate? -Math-Play.Com MP.7 Look for and make use of -Exit Ticket structure. Suggested Formative Assessment: -OnlineMathLearning.com -5.NBT.A.4 Rounding to Tenths and Hundredths -Howard County 5.NBT.4 -Shared Drive: -iReady 5.NBT.4 Documents -North Carolina 5.NBT.4 Tasks -K-5 Math Teaching Resources: Suggested Mentor Text: Rounding Decimals on a Number Line

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Franklin Township Public Schools Math Guidance Document Roll and round – Nearest Tenth

-LearnZillion Resources 5.NBT.4 5.NBT.4 5.NBT.4 5.NBT.4

-Howard County Centers 5.NBT.4

-EnVisions 2.0 Lessons: 1-6 Round Decimals

-EngageNY Module 1: Lesson 7 Round Decimals to Any Place Using a Vertical Number Line Lesson 8 Round Decimals to Any Place Using a Vertical Number Line Multiply 5.NBT.B.5. Fluently multiply Obj. We are learning to: Use the standard algorithm -Example Multiplication Strategies Anchor Chart Multi-Digit multi-digit whole numbers to multiply a whole number of up to a four digits by -Model and demonstrate multiplying whole Whole using the standard a whole number of up two digits. numbers using the standard algorithm Numbers – algorithm. -Use visual models for students who are struggling: Standard *(benchmarked) Essential Question: How does my knowledge of basic partial products or area model -Really cool visual area model on grid paper. Algorithm: operations help me solve problems? MP.2 Reason abstractly and -Bryantschools.org Common Core Resources 7 days quantitatively. -Learn Alberta - Multiplying Lessons MP.6 Attend to precision. Suggested Formative Assessment: -Mathplaygound.com MP.7 Look for and make use of -5.NBT.B.5 Elmer's Multiplication Error -Mult & Div game structure. -Howard County 5.NBT.5 -SoccerShootout MP.8 Look for and express -iReady -Word Problems (TPT) regularity in repeated -North Carolina 5.NBT.5 Tasks -Multiplying Steps (TPT) reasoning. -Partial Products Video Suggested Mentor Text: -Area Model Each Orange Had 8 Slices: A Counting Book by Paul -Partial Products/Area Model Tutorials Giganti -Kahn Academy Video (lattice method)

2 x 2 = Boo: A Set of Spooky Multiplication Stories by -Shared Drive: Loreen Leedy 5.NBT.5 Documents Pizza Counting by Christina Dobson Hershey’s Kisses Multiplication and Division by Jerry -K-5 Math Teaching Resources: Pallotta Multiplication Race (2x3)

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Franklin Township Public Schools Math Guidance Document The Hershey’s Milk Chocolate Multiplication Book by Jerry Pallotta -LearnZillion Resources 5.NBT.5 5.NBT.5 5.NBT.5 5.NBT.5 5.NBT.5

-Howard County Centers 5.NBT.5

-EnVisions 2.0 Lessons: 3-2 Estimate Products 3-3 Multiply 3-Digit by 2-Digit Numbers 3-4 Multiply Numbers with Zeros 3-5 Multiply Multi-Digit Numbers 3-6 Solve Word Problems Using Multiplication

-EngageNY Module 2: Lesson 8 Fluently Multiply Using the Standard Algorithm – Estimate for Reasonableness Lesson 9 Fluently Multiply Using the Standard Algorithm Dividing 5.NBT.B.6. Find whole- Obj. We are learning to: Calculate whole number -Example Long Division Anchor Chart Multi-Digit number quotients of whole quotients of whole numbers with 4-digit dividends -Example Division Strategies Anchor Chart Whole numbers with up to four- and 2-digit divisors; explain and represent -Model and demonstrate steps for division; Numbers – digit dividends and two- calculations with equations, rectangular arrays, and demonstrate modeling with arrays and area models Standard digit divisors, using area models. -Bryantschools.org Common Core Resources strategies based on place - Learn Alberta: Division of Whole Numbers - Video Algorithm: value, the properties of Tutorial 7 days operations, and/or the Essential Question: How does my knowledge of basic -Double Division - Division by a 2-Digit Number - relationship between operations help me solve problems? Algorithm Applet multiplication and division. -Division Steps Bookmark (TPT) Illustrate and explain the Suggested Formative Assessment: -Mult & Div game calculation by using -Howard County 5.NBT.6 *Minutes & Days (higher) equations, rectangular -iReady *SoccerShootout arrays, and/or area models. -North Carolina 5.NBT.6 Tasks *Division Squares (TPT)

MP.2 Reason abstractly and Suggested Mentor Text: -Shared Drive: quantitatively. Bean Thirteen by Math McElligott 5.NBT.6 Documents MP.3 Construct viable The Great Divide: A Mathematical Marathon by Dayle arguments and critique the -K-5 Math Teaching Resources: reasoning of others. Ann Dodds Division Strategy: Partition the Dividend

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Franklin Township Public Schools Math Guidance Document MP.4 Model with mathematics. Divide and Ride by Stuart J. Murphy Estimate the Quotient MP.5 Use appropriate tools The Doorbell Rang by Pat Hutchins Write It, Solve It, Check It strategically. Safari Park by Stuart J. Murphy MP.7 Look for and make use of -LearnZillion Resources 5.NBT.6 5.NBT.6 5.NBT.6 structure. 5.NBT.6

-Howard County Centers 5.NBT.6

-EnVisions 2.0 Lessons: 5-1 Use Patterns and Mental Math to Divide 5-2 Estimate Quotients with 2-Digit Divisors 5-3 Use Models to Divide with 2-Digit Divisors 5-4 Use Partial Quotients to Divide 5-5 Divide by Multiples of 10 5-6 Use Estimation to Place the First Digit of the Quotient 5-7 Divide by 2-Digit Divisors

-EngageNY Module 2: Lesson 18 Use Basic Facts to Estimate Quotients of 2-Digit Divisors Lesson 19 Partial Quotients Lesson 20 Make Connections to a Written Method Lesson 21 Make Connections to a Written Method

Authentic Application: Gr 5 Unit 1 - Authentic Application Million Dollar Project

Additional Unit resources: #Unit 1 5.NBT.1; 5th Grade # Activities; Internet4Classrooms Activities; Bridges in Math Practice Book; Bridges in Math CCSS; Problem Solving cards and Solutions; Math6lab.org; OnlineMathLearning.com; Activity Links; MathGoodies.com; *CCSS Activity Binder; Thinkfinity CC activities; Problem Solving Activities; WatchKnowLearn.org Videos; Softschools.com

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