4.3.1Ma


 * Grade 4 Unit 3: **


 * Grade: 4 Unit: 3 Week: 1 Content: Math – Multiply/Divide (Wk 5) **


 * Dates: October 29 – November 2 **


 * Theme Essential Question **** : How and when do we apply multiplication and division to solve mathematical problems? **


 * Essential Questions: **


 * How can I develop strategies for multiplication and division that involve breaking apart numbers?
 * How can I use known multiplication combinations to solve division problems?
 * How can I determine the effect on the product when a factor is doubled or halved?
 * How can I represent a multiplication or division problem with pictures, diagrams, or models (arrays)?


 * Standards **


 * 4.OA .1 ** Interpret a multiplication equation as a comparison, e.g., interpret 35=5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.


 * 4.OA.2 ** Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.


 * 4.NBT.5 ** Multiply a whole number of up to four digits by a 1-digit whole number, and multiply two 2-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.


 * 4.NBT.6 ** Find whole number quotients and remainders with up to 4-digit dividends and 1-digit divisors using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.


 * Objectives **


 * I will be able to develop strategies for multiplication and division that involve breaking apart numbers.
 * I will be able to use known multiplication combinations to solve division problems.
 * I will be able to determine the effect on the product when a factor is doubled or halved.
 * I will be able to represent a multiplication or division problem with pictures, diagrams, or models (arrays).


 * Assessment **


 * ** Product **
 * Students can draw a rectangular array or an area model that will illustrate their understading of how to find whole number quotients with or without remainders.
 * Use centimeter cubes or snap blocks cubes and index cards to illustrate multi-digit whole number equations with or without remainders.
 * Students can create a song or rap to help remember divisibility rules for 2’s, 5’s, and 10’s.
 * Create a board game to demonstrate knowledge of divisibility rules for 2’s, 5’s, and 10’s and also to give practice for remembering rules [|www.basic-mathematics.com/divisibility-rules-games.html]


 * On going assessment type: **


 * Illustrate/write a story problem (containing a variety of operations) given by the teacher to represent the use of remainders. For example… There are 54 students who will be going on a field trip. If only 10 students can be on a bus, how many buses are needed to transport all students?


 * Key Questions **


 * Can the student develop strategies for multiplication and division that involve breaking apart numbers.
 * Can the student use known multiplication combinations to solve division problems.


 * Can the student determine the effect on the product when a factor is doubled or halved.
 * Can the student represent a multiplication or division problem with pictures, diagrams, or models (arrays).


 * Observable student behaviors **


 * The student will be able to develop strategies for multiplication and division that involve breaking apart numbers.


 * The student will be able to use known multiplication combinations to solve division problems.
 * The student will be able to determine the effect on the product when a factor is doubled or halved.
 * The student will be able to represent a multiplication or division problem with pictures, diagrams, or models (arrays).

1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||
 * ** Mathematical Practices **


 * Vocabulary **

Equation Verbal statements Multiplicative comparison *Interpret *Represent *Model *Compare *Relate ||
 * ** Math ** ||
 * Multiplication


 * Suggested Activities **


 * __ Math Investigations – __ Unit 3 Multiple Towers and Divison Stories: Lessons 4.1-4.5. These lessons focus on developing strategies for multiplying that involve breaking apart numbers, using known multiplication combinations to solve division problems, determining the effect on the product when a factor is doubled or halved, and representing a multiplication or division problem with pictures, diagrams, or models (arrays).
 * __ On Core Mathematics- __ Lessons 41 (Student book pgs. 81-82) 4.NBT.6; Lesson 44 (Student book pgs. 87-88) 4.NBT.6


 * Homework **


 * Terminology for Teachers **

||  ||
 * || ** Multicultural Concepts **
 * E ** thnicity/**C**ulture | **I**mmigration/**M**igration | **I**ntercultural **C**ompetence | **S**ocialization | **R**acism/**D**iscrimination
 * High Yield Strategies **
 * S ** imilarities/**D**ifferences | **S**ummarizing/**N**otetaking | **R**einforcing/**R**ecognition | **H**omework/**P**ractice |
 * N ** on-**L**inguistic representation | **C**ooperative **L**earning | **O**bjectives/**F**eedback |
 * G ** enerating-**T**esting **H**ypothesis | **C**ues, **Q**uestions, **O**rganizers

Resources


 * Resources **


 * Professional Texts **


 * __ Math Investigations __

**Literary Texts**

**Informational Texts**

**Art, Music, and Media**


 * Algebra-$2.99

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 * All Skills-$2.99

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 * Fractions-$.99

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 * Universal Converter-Free

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 * Geometry-$.99

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 * Calculator-Free

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 * Flash Card X and / facts-Free

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 * Multiplication-Free

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 * Multiplication-Free

[|http://itunes.apple.com/us/app/math-circus/id407115296?mt=8#]


 * Add,subtract,multiply,divide-$2.99

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 * Fractions-Free

[|http://itunes.apple.com/us/app/pizza-fractions-beginning/id374084320?mt=8#]


 * Math-General-$1.99

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 * Manipulatives **


 * Games **

**Videos**

**Sight Words**

**Smartboard Lessons****, Promethean Lessons**


 * 4.NBT.5 **


 * Practice using the lattice method of multiplication

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 * 4.NBT.6 **


 * Basic divisibility rules/introduction

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 * Review of division rules, need prior knowledge for this activity

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 * Quick introduction to division

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 * 4.OA.1 **


 * Review for different ways to represent a multiplication problem

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 * A game to review multiplication

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 * A game to review multiplication

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 * Other Activities, etc. **


 * __ Everyday Counts Partner Games- __ Keep the Leftovers pp. 24-25, Quotient Comparing pp. 52-53
 * __ Thinkfinity __


 * 4.OA.1: **


 * ** 4.NBT.5, 4.OA.1: Factor Findings **

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Creating Factor Posters to Be Utilized as Resources in the Classroom


 * ** 4.OA.4, 4.OA.1, 4.OA.2: All About Multiplication **

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Exploring the Meanings and Representations of Multiplication


 * 4.OA.2: **


 * ** 4.NBT.2, 4.NBT.4, 4.OA.3, 4.NBT.5, 4.OA.2: Count on Math **

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Developing Number Sense through Estimation and Data Collection


 * ** 4.OA.3, 4.NBT.2, 4.NBT.1, 4.NBT.4, 4.OA.2, 4.NBT.5, 4.NBT.6: Money Makers **

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Designing and Running a Profitable Business


 * ** 4.NBT.2, 4.NBT.4, 4.OA.3, 4.NBT.5, 4.OA.2: Count on Math **

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Developing Number Sense through Estimation and Data Collection


 * ** 4.OA.3, 4.NBT.2, 4.NBT.1, 4.NBT.4, 4.OA.2, 4.NBT.5, 4.NBT.6: Money Makers **

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Designing and Running a Profitable Business


 * ** 4.NBT.2, 4.NBT.4, 4.OA.2: Accessing and Investigating Population Data **

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Using Population Pyramids and Creating Graphs of State Population Data


 * ** 4.OA.4, 4.OA.1, 4.OA.2: All About Multiplication **

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Exploring the Meanings and Representations of Multiplication


 * ** 4.OA.4, 4.OA.1, 4.OA.2: All About Multiplication **

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Exploring the Meanings and Representations of Multiplication


 * 4.NBT.5: **


 * ** 4.NBT.5: Multiply and Conquer **

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Visualizing 2 × 1 and 2 × 2 Multiplication Using the Distributive Property and Arrays


 * ** 4.NBT.5: Factor Trail Game **

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Using a Game to Help Students Practice Factoring


 * ** 4.MD.1, 4.OA.4, 4.NBT.5: Running Races **

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Mastering Multiplication Facts While Investigating Linear Relationships


 * ** 4.NBT.2, 4.NBT.4, 4.OA.3, 4.NBT.5, 4.OA.2: Count on Math **

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Developing Number Sense through Estimation and Data Collection


 * ** 4.OA.3, 4.NBT.2, 4.NBT.1, 4.NBT.4, 4.OA.2, 4.NBT.5, 4.NBT.6: Money Makers **

[]

Designing and Running a Profitable Business


 * 4.NBT.6: **


 * ** 4.OA.3, 4.NBT.2, 4.NBT.1, 4.NBT.4, 4.OA.2, 4.NBT.5, 4.NBT.6: Money Makers **

[]

Designing and Running a Profitable Business


 * Odyssey **


 * Level 4 Math: 4.OA.1 **

Odyssey Lessons at odysseyelem.pcssd.org (My District)


 * Interpreting Multiplication Equations ||
 * Activity Quiz: Interpreting Multiplication Equations ||
 * Describing Multiplication Situations ||
 * Activity Quiz: Describing Multiplication Situations ||


 * Level 4 Math: 4.OA.2 **

Odyssey Lessons at odysseyelem.pcssd.org (My District)
 * Multiplication Word Problems ||
 * Activity Quiz: Multiplication Word Problems ||
 * Division Word Problems ||
 * Activity Quiz: Division Word Problems ||
 * Partial Contributions ||
 * Another Fine Product ||
 * Shipshape ||
 * Top Secret ||
 * 3 by 2 ||
 * Quiz: 3 by 2 ||
 * Problem Solving with Multiplication ||
 * Quiz: Problem Solving with Multiplication ||
 * 2 Digit Divisors with 3 Digit Dividends ||
 * Quiz: 2 Digit Divisors with 3 Digit Dividends ||
 * Applying Division: Interpreting Remainders ||
 * Quiz: Applying Division: Interpreting Remainders ||
 * Story Problems ||
 * Quiz: Story Problems ||
 * Solving Equations with Multiplication ||
 * Quiz: Solving Equations with Multiplication ||
 * Solving Equations with Division ||
 * Quiz: Solving Equations with Division ||
 * A Puzzling Problem ||
 * Apple-licious ||


 * Level 4 Math: 4.NBT.5 **

Odyssey Lessons at odysseyelem.pcssd.org (My District)


 * Tabletop Product ||
 * Lesson Quiz: Multiply 2-digits by 1-digit ||
 * Construction Area ||
 * Lesson Quiz: Introduction to Multiplication ||
 * Partial Contributions ||
 * Lesson Quiz: Partial Products ||
 * Another Fine Product ||
 * Lesson Quiz: Multiply Large Numbers ||
 * Under Construction ||
 * Lesson Quiz: Area ||
 * Problem Solving with Multiplication ||
 * Quiz: Problem Solving with Multiplication ||


 * Level 4 Math: 4.NBT.6 **

Odyssey Lessons at odysseyelem.pcssd.org (My District)


 * Dividing Donations ||
 * Lesson Quiz: Division Facts ||
 * The S.P.A.C.E. Division ||
 * Lesson Quiz: Divide 2-digits by 1-digit ||
 * What Does it Mean to Divide? ||
 * Activity Quiz: What Does it Mean to Divide? ||
 * Strategies for Solving Division Problems ||
 * Activity Quiz: Strategies for Solving Division Problems ||
 * It's a Flea's Home ||
 * Lesson Quiz: Dividing with 1-digit Divisors ||
 * Waste Not ||
 * Quiz: Waste Not ||
 * Applying Division: Interpreting Remainders ||
 * Quiz: Applying Division: Interpreting Remainders ||
 * The Banking Solution ||
 * Apple-licious ||

Click [|here] for word document of template.


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