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Hueneme Elementary School District Staff Development Day #3 March 10, 2014

Hueneme Elementary School District Staff Development Day #3 March 10, 2014. CCSS Mathematic Unit of Study Grade 3. Introductions. Peter Frank. Courtney Fitzgerald. Year at a Glance …. Unit 1 : Number Sense Unit 2: Patterns in Multiplication and Division Unit 3:

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Hueneme Elementary School District Staff Development Day #3 March 10, 2014

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  1. Hueneme Elementary School DistrictStaff Development Day #3March 10, 2014 • CCSS Mathematic Unit of Study • Grade 3

  2. Introductions • Peter Frank Courtney Fitzgerald

  3. Year at a Glance….. • Unit 1 : • Number Sense • Unit 2: • Patterns in Multiplication and Division • Unit 3: • Relationships Between Multiplication and Division • Unit 4: • Geometry: Shapes, Area, and Perimeter • Unit 5: • Fractions • Unit 6: • Measurement and Data

  4. Grade 3: Math Unit of Study #3 • Title: • Relationships between Multiplication and Division • Length: • @ 30 days Key Points *Explore the relationships between multiplication and division. *Explore Fact Families and develop a knowledge of the Basic Facts (from 1 – 10) *Apply properties of operations as strategies to multiply and divide. (Commutative, Associative, and Distributive property.) *Know that any division problem can be solved using multiplication facts. *Solve real-world problems

  5. Essential Standards Guaranteed: Taught and Assessed (Re-taught if necessary) • 3.OA.1. Interpret products of whole numbers; 5 X 7 is 5 groups of 7 objects. • 3.OA.2. Interpret whole-number quotients of whole numbers; 56/8 is 56 objects partitioned equally into 8 shares. • 3.OA.3. Use multiplication and division within 100 to solve word problems use drawings, equations, and symbols for the unknown number. • 3.OA.4. Determine the unknown whole number in a multiplication or division equation; 8 X ? = 48, 5 = 􀃍 / 3, 6 X 6 = ?. • 3.OA.5. Apply properties of operations as strategies to multiply and divide. Commutative, Associative, and Distributive property. • 3.OA.6. Understand division as an unknown-factor problem. • 3.OA.7. Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division. • By the end of Grade 3, know from memory all products of two one-digit numbers.

  6. Supporting Standards (Taught in conjunction with the Essential Standards) • 3.OA.8. Solve two-step word problems, using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using rounding, mental computation and estimation strategies . • 3.OA.9. Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. • 3.MD.1. Tell and write time to the nearest minute and measure time intervals in minutes. • 3.MD.2. Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). • 3.MD.3. Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. • 3.MD.4. Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units—whole numbers, halves, or quarters.

  7. Enduring Understandings and Essential Questions Essential Questions • Enduring Understandings A statement about the concept behind the content that we want students to transfer to different learning experiences and subject areas. Basic facts and algorithms for operations with rational numbers use notions of equivalence to transform calculations into simpler ones. The same number sentence (e.g. 12-4 = 8) can be associated with different concrete or real-world situations, AND different number sentences can be associated with the same concrete or real-world situation. Questions based on the Enduring Understanding that teachers can use during instruction and assessment. * How are multiplication and division related? * What patterns of multiplication can we discover by studying a times table chart? * What strategies are there to help learn and memorize multiplication facts? * What strategies can help you solve real world multiplication and division problems? * How can you use multiplication facts to solve unknown factor problems?

  8. Academic Vocabulary(Explicitly taught throughout the course of the unit) Tier 3 Tier 2 multiply divide interpret equal calculate record explain predict estimate solve reason whole number product quotient divisor dividend factor commutative property associative property distributive property array number model

  9. Chapter 1 of 3 Days: @ 10 (Chapter = series of lessons/tasks)MULTIPLICATION • Focus Standards Essential Questions 3.OA.1. Interpret products of whole numbers, e.g., interpret 5 X 7 as the total number of objects in 5 groups of 7 objects each. 3.OA.3. Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem 3.OA.5.Apply properties of operations as strategies to multiply and divide. (Commutative, associative, & distributive properties.) 3.OA.7.Fluently multiply and divide within 100, by the end of Grade 3, know from memory all products of two one-digit numbers Enduring Understandings *Multiplication can be demonstrated through a rectangular array *Multiplication is repeated addition and follows a pattern * * What patterns of multiplication can we discover by studying a times table chart? * What strategies are there to help learn and memorize multiplication facts? Learning Objectives *Interpret and describe a given multiplication problem as the total number of objects in a group by the number of groups. (OA.1) *Apply commutative property of operations as a strategy to multiply. (OA.5) *Use multiplication to solve real world situations using equal groups, arrays, and measurement quantities. (OA.3)

  10. Suggested Resources for Chapter 1MULTIPLICATION • Everyday Mathematics • * EDM Skills Links (BlueBook) pages 29, 38, 39, 41, 42, 48, 53, 58, 60, 68, 75, 80, 91, 94, 101 • * EDM Lessons: 4.1, 4.2, 4.5, 4.6, 4.7, 7.1, 7.2, 7.3, 7.5, 7.6, 7.8, 9.2, 9.3, 9.4, 9.5, 9.9, 9.11, 9.12 • * EDM Games and Projects: Baseball Multiplication, Multiplication Bingo, Top-It: Multiplication, Beat the Computer: Multiplication • Math Routines • * Multiplication Timed Tests (ex: Rocket Math) • * EDM math message and slate routines • Literature (Fiction/Informational Text) • * Bats on Parade by Appely (arrays, multiplication) • * Artic Fives Arrive by Pinczes (skip counting) • * How Many Ants? by Brimner (skip counting) • * The Multiplying Menace: The Revenge of Rumpelstiltskin by Calvert (multiplication adventure) • Homework • *Daily Practice of basic facts • Online Lessons • http://www.apples4theteacher.com/math/multiplication/kids-books/ • http://www.apples4theteacher.com/math/multiplication/flashcards/ • * • Videos/Interactives/Games • *School House Rock - Multiplication • * http://nlvm.usu.edu/en/nav/vlibrary.html • * I have, Who has? • Quiz- Quiz- Trade • http://m.youtube.com/watch?v=xrFEJa2R24s (multiply by 9, cowboy song) • * • Other - iPad Apps • Math Bingo, Mathboard, Bubbles +x • *https://itunes.apple.com/us/app/math-bingo-for-kids/id507126705?mt=8 • *https://itunes.apple.com/us/app/mathboard-addition/id381884632?mt=8 • *https://itunes.apple.com/us/app/addition-multiplication-number/id467091416?mt=8

  11. Chapter 2 of 3 Days: @10(Chapter = series of lessons/tasks)DIVISION • Focus Standards Essential Questions 3.OA.2.Interpret whole-number quotients of whole numbers 3.OA.5.Apply properties of operations as strategies to multiply and divide 3.OA.6.Understand division as an unknown-factor problem. Enduring Understandings *Division is the inverse of multiplication *Division is solving an un-known factor *Basic facts and algorithms for operations with rational numbers use notions of equivalence to transform calculations into simpler ones. • How are multiplication and division related? • How can you use multiplication facts to solve unknown factor problems? • How do the properties help us solve multiplication and division problems? • How can you use your knowledge of multiplication and division to solve an unknown factor? • How can you apply knowledge of division to real life situations? • How can you determine what information is essential to solving the problem? • Learning Objectives • Interpret whole-number quotients with no remainders. (3.OA.2) • Apply properties of operations as strategies to multiply and divide. (Commutative, Associative, and Distributive property.)(3.OA.5) • Understand division as an unknown-factor problem. (3.OA.6) • Use division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities. (3.OA.3)

  12. Suggested Resources for Chapter 2DIVISION • Everyday Mathematics • * EDM Skills Links (BlueBook) pages 39, 53, 58, 68, 73, 91, 101. • * EDM Lessons: 4.3, 4.4, 4.6, 7.6, 9.7, 9.8 • * EDM Games and Projects: Baseball Multiplication, Multiplication Bingo, Top-It: Multiplication, Beat the Computer: Multiplication • Math Routines • * Multiplication Timed Tests (ex: Rocket Math) • * EDM math message and slate routines • Literature (Fiction/Informational Text) • *The Doorbell Rang by Hutchins (dividing) • *Divide and Ride by Murphy (dividing) • *One Hundred Angry Ants by Pinczes (dividing, arrays) • Homework • *Daily Practice of basic facts • Online Lessons • http://www.apples4theteacher.com/math/division/. (Printable Flash Cards, Vocabulary, Word Search, Worksheets, Book Review) • Videos/Interactives/Games • *School House Rock - Multiplication • * http://nlvm.usu.edu/en/nav/vlibrary.html • * I have, Who has? • Quiz- Quiz- Trade • Other - iPad Apps: • Math Bingo, Mathboard, Bubbles +x • *https://itunes.apple.com/us/app/math-bingo-for-kids/id507126705?mt=8 • *https://itunes.apple.com/us/app/mathboard-addition/id381884632?mt=8 • *https://itunes.apple.com/us/app/addition-multiplication-number/id467091416?mt=8

  13. Chapter 3 of 3Days: @ 10(Chapter = series of lessons/tasks)REAL-WORLD PROBLEMS (multi. & division) • Focus Standards Essential Questions 3.OA.4. Determine the unknown whole number in a multiplication or division equation relating three whole numbers . 3.OA.5. Apply properties of operations as strategies to multiply and divide. 3.OA.7. Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division Enduring Understandings *Multiplication and division are inverses of each other and can be used to solve real world problems * Patterns, skip counting, basic facts, and other methods can be used to solve multiplication and division problems • How can you use estimation to adjust your answer for better accuracy and precision? • How can you use patterning, skip counting, basic facts, missing factors, decomposing and square numbers to understand multiplication and division? • What strategies can help you solve real world multiplication and division problems? • Learning Objectives • Students will fluently and accurately multiply and divide from 1 to 100. (3.OA.7) • Solve two-step word problems using variables and assess the reasonableness using estimation, rounding, and mental computation. (3.OA.8) • Students will apply concepts of multiplication and division in real life applications.

  14. Suggested Resources for Chapter 3REAL-WORLD PROBLEMS (multi. & division) • Everyday Mathematics • *EDM Skills Links (BlueBook) pages 32, 33, 75, 80, 95, 99, 100. • *EDM Lessons: 4.5, 4.8, 4.9, 7.3, 7.7, 7.9, 9.1, 9.7, 9.8, 9.9, 9.10 • *EDM Games and Projects: Baseball Multiplication, Multiplication Bingo, Top-It: Multiplication, Beat the Computer: Multiplication, CA Project 8 • Math Routines • * Multiplication Timed Tests (ex: Rocket Math) • * EDM math message and slate routines • Literature (Fiction/Informational Text) • * The Great Divide by Dodds (division) • * The Multiply Menace Divides by Calvert (division) • * A Remainder of One by Pinczes (division with remainders) • Homework • *Daily Practice of basic facts • Online Lessons • http://www.apples4theteacher.com/math/division/ • (Printable Flash Cards, Worksheets, Book Review) • Videos/Interactives/Games • *School House Rock - Multiplication • *http://nlvm.usu.edu/en/nav/vlibrary.html • * I have, Who has? • * Quiz- Quiz- Trade • Other - iPad Apps: • Math Bingo, Mathboard, Bubbles +x • *https://itunes.apple.com/us/app/math-bingo-for-kids/id507126705?mt=8 • *https://itunes.apple.com/us/app/mathboard-addition/id381884632?mt=8 • *https://itunes.apple.com/us/app/addition-multiplication-number/id467091416?mt=8

  15. Assessment • Formative Summative • Teacher created/selected • Measured Progress: Testlets • Teacher created/selected • Measured Progress: Benchmarks • Smarter Balanced Assessment (3-8)

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