5.4.8Ma


 * Grade: 5 Unit: 4 Week 8 Content: 5.NF.5a and 5.NF.5b Dates: 2/11-2/15 **


 * Theme Essential Question: **

5NF.5a
 * Essential Questions: **


 * How does the size of the prodct compare to the size of one factor when multiplying fractions?

5NF.5b


 * How can you use the strategy //guess, check, and revise// to solve problems with fractions?


 * Standards: **

Of the other factor, without performing the indicated multiplication. greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and realating the principle of fraction equivalence a/b=(nxa)/(nxb) to the effect of multiplying a/b by 1. ||
 * Interpret multiplication as scaling (resizing) by:
 * 1) Comparing the size of a product to the size of one factor on the basis of the size
 * 1) Explaing why multiplying a given number by a fraction greater than 1 results in a product


 * Objectives: **

NF.5a
 * Relate the size of the product compared to the size of one factor when multiplying fractions.

NF.5b


 * Solve problems uing the strategy //guess, check, and revise.//

NF.5a multiplication problem, the product will also increase or decrease. multiplying lesser factors results in lesser products. because 4 is greater than 2. Example: 6 x 9 = 54 3 x 9 = 1/2 x 54 because 3 is 1/2 of 6 6 x 24 = 144 2 x 24 = 1/3 x 144 because 2 is 1/3 of 6 NF.5b results in a product greater than the given number. Examples: 2 x **5/4** = 10/4 OR 2-1/2 10/4 > 2 OR 2-1/2 > 2 in a product smaller than the given number. Examples: 3 x 1/4 = 3/4 3/4 < 3 results in a number less than either fraction. Examples: 1/2 x 1/2 = 1/4 1/4 < 1/2 than 1 by a whole number to show how the products are affected. For example, 1/6 x 9 is less than 1/3 x 9 because 1/6 is less than 1/3. of products. || the whole is broken; therefore, as the size of the denominator increases, the size of the pieces decreases. Procedural: Representational:
 * * Students will understand that when you increase or decrease one of the factors in a
 * Students will understand that multiplying greater factors results in greater products and
 * Students can compare products mentally. For example, 4 x 9 is greater than 2 x 9
 * Students can draw a model to compare the size of products based on various factors. ||
 * * Students will understand that multiplying a fraction greater than 1 and a given number
 * Students will understand that multiplying a fraction less than 1 and a given number results
 * Students will realize that multiplying a fraction less than 1 times a fraction less than 1
 * Students will practice multiplying fractions less than 1 by a whole number or fractions greater
 * Students can draw models of multiplication of fractions by given numbers to compare the size
 * * Students will understand relationships between the size of the factors and products.
 * Students will understand that a denominator indicates the number of pieces into which
 * Students can multiply whole numbers.
 * Students can multiply using area models or arrays. ||


 * Assessment: **
 * Product: **


 * 1. **** Key Questions (match Standard) **
 * 2. **** Observable Student Behaviors (Performance) **


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


 * Vocabulary **

NF.5a Scaling, Array, Factors, Products, X means “of”

NF.5b increase, decrease, product, factors, arrays, fraction greater than 1, improper fraction, fraction less than 1, proper fraction, mixed number


 * Suggested Activities ** [see Legend to highlight MCO and HYS]

Odyssey: Multiply Fractions Lesson (Found in Assignment Archive under District)
 * Homework **


 * Terminology for Teachers **

** 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 || ||
 * ||  ** Multicultural Concepts **

Resources

************************************************************************************************************
 * Resources **
 * Professional Texts **

Houghton Mifflin Harcourt On Core Mathematics

School Mathematics, Teaching Developmentally, Third Edition; John A. Van de Walle


 * Literary Texts **


 * Informational Texts **

// Read It, Draw It, Solve It! // By Elizabeth D. Miller Grade 4-5 Lessons

// Investigations in Number, Data, and Space for the Common Core State Standards, Sessions //


 * Art, Music, and Media **


 * Games: **


 * Manipulatives **

Numbers and Operations 3-5—Rectangular Multiplication: __ [] __


 * Smartboard Lessons, Promethean Lessons **

Multiplying Mixed Numbers Multiply a mixed number by a mixed number; multiply a whole number by a mixed number. Apply to solve contextual problems
 * AEGOM Lesson G6M008 **

Divide Fractions & Mixed Num Dividing fractions and mixed numbers. Apply to contextual problems.
 * AEGOM Lesson G6M009 **

Multiply and Divide Whole Numbers Develop and analyze strategies for multiplying and dividing numbers.
 * AEGOM Lesson G5M005 **

Factors and Multiples Develop an understanding of multiples and factors and use to solve problems.
 * AEGOM Lesson G5M013 **

[]

Fraction Review [] Reviews basic fractions concepts while helping to put Humpty Dumpty back together again Multiplication of Fractions [] This is a lesson on the multiplication of fractions. Everyday Math - Grade 5 - Unit 5 - Lesson 3 [] Comparing and Ordering Fractions. Review equivalent fractions; and to provide experience with comparing and ordering fractions. EDM 5th 5.2 [] EDM 5.2, Fifth grade

EDM 5th 5.1 [] EDM 5.1 for fifth grade curriculum


 * Other Activities, etc. **

Odyssey Lessons –

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