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:

Interpret multiplication as scaling (resizing) by:

Comparing the size of a product to the size of one factor on the basis of the size

Of the other factor, without performing the indicated multiplication.

Explaing why multiplying a given number by a fraction greater than 1 results in a product

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.

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

Students will understand that when you increase or decrease one of the factors in a

multiplication problem, the product will also increase or decrease.

Students will understand that multiplying greater factors results in greater products and

multiplying lesser factors results in lesser products.

Students can compare products mentally. For example, 4 x 9 is greater than 2 x 9

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

Students can draw a model to compare the size of products based on various factors.

NF.5b

Students will understand that multiplying a fraction greater than 1 and a given number

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

Students will understand that multiplying a fraction less than 1 and a given number results

in a product smaller than the given number. Examples: 3 x 1/4 = 3/4 3/4 < 3

Students will realize that multiplying a fraction less than 1 times a fraction less than 1

results in a number less than either fraction. Examples: 1/2 x 1/2 = 1/4 1/4 < 1/2

Students will practice multiplying fractions less than 1 by a whole number or fractions greater

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.

Students can draw models of multiplication of fractions by given numbers to compare the size

of products.

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

the whole is broken; therefore, as the size of the denominator increases, the size of the pieces decreases. Procedural:

Students can multiply whole numbers.

Representational:

Students can multiply using area models or arrays.

AEGOM Lesson G6M008 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 G6M009 Divide Fractions & Mixed Num Dividing fractions and mixed numbers. Apply to contextual problems.

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

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

Grade: 5 Unit: 4 Week 8 Content: 5.NF.5a and 5.NF.5b Dates: 2/11-2/15Theme Essential Question:Essential Questions:5NF.5a

5NF.5b

guess, check, and reviseto solve problems with fractions?Standards:- Comparing the size of a product to the size of one factor on the basis of the size

Of the other factor, without performing the indicated multiplication.- Explaing why multiplying a given number by a fraction greater than 1 results in a product

greater than the given number (recognizing multiplication by whole numbers greater than1 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.

Objectives:NF.5a

NF.5b

guess, check, and revise.NF.5a

- Students will understand that when you increase or decrease one of the factors in a

multiplication problem, the product will also increase or decrease.- Students will understand that multiplying greater factors results in greater products and

multiplying lesser factors results in lesser products.- Students can compare products mentally. For example, 4 x 9 is greater than 2 x 9

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

- Students will understand that multiplying a fraction greater than 1 and a given number

results in a product greater than the given number. Examples: 2 x5/4= 10/4 OR 2-1/210/4 > 2 OR 2-1/2 > 2

- Students will understand that multiplying a fraction less than 1 and a given number results

in a product smaller than the given number. Examples: 3 x 1/4 = 3/4 3/4 < 3- Students will realize that multiplying a fraction less than 1 times a fraction less than 1

results in a number less than either fraction. Examples: 1/2 x 1/2 = 1/4 1/4 < 1/2- Students will practice multiplying fractions less than 1 by a whole number or fractions greater

than 1 by a whole number to show how the products are affected. For example, 1/6 x 9 is lessthan 1/3 x 9 because 1/6 is less than 1/3.

- Students can draw models of multiplication of fractions by given numbers to compare the size

of products.- 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

the whole is broken; therefore, as the size of the denominator increases, the size of thepieces decreases.

Procedural:

- Students can multiply whole numbers.

Representational:Assessment:Product:1.Key Questions (match Standard)2.Observable Student Behaviors (Performance)Mathematical PracticesVocabularyNF.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)

HomeworkTerminology for TeachersMulticultural ConceptsEthnicity/Culture |Immigration/Migration |InterculturalCompetence |Socialization |Racism/DiscriminationHigh Yield StrategiesSimilarities/Differences |Summarizing/Notetaking |Reinforcing/Recognition |Homework/Practice |Non-Linguistic representation |CooperativeLearning |Objectives/Feedback |Generating-TestingHypothesis |Cues,Questions,OrganizersResources

ResourcesProfessional TextsHoughton Mifflin Harcourt On Core Mathematics

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

Literary TextsInformational TextsRead It, Draw It, Solve It!By Elizabeth D. Miller Grade 4-5 LessonsInvestigations in Number, Data, and Space for the Common Core State Standards, SessionsArt, Music, and MediaGames:ManipulativesNumbers and Operations 3-5—Rectangular Multiplication:

http://nlvm.usu.edu/en/nav/grade_g_1.htmlSmartboard Lessons, Promethean LessonsAEGOM Lesson G6M008Multiplying 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 G6M009Divide Fractions & Mixed Num Dividing fractions and mixed numbers. Apply to contextual problems.

AEGOM Lesson G5M005Multiply and Divide Whole Numbers Develop and analyze strategies for multiplying and dividing numbers.

AEGOM Lesson G5M013Factors and Multiples Develop an understanding of multiples and factors and use to solve problems.

http://www.internet4classrooms.com/skills_5th_math.htm

Fraction Review

http://exchange.smarttech.com/details.html?id=a365b5ba-bae0-4a9a-8219-1b5f34a71070

Reviews basic fractions concepts while helping to put Humpty Dumpty back together again

Multiplication of Fractions

http://exchange.smarttech.com/details.html?id=207fbabc-e53d-46e6-bfe3-18a6bfef9a88

This is a lesson on the multiplication of fractions.

Everyday Math - Grade 5 - Unit 5 - Lesson 3

http://exchange.smarttech.com/details.html?id=3635edeb-a216-44ca-b669-86784c9fb51f

Comparing and Ordering Fractions. Review equivalent fractions; and to provide experience with comparing and ordering fractions.

EDM 5th 5.2

http://exchange.smarttech.com/details.html?id=98987f3c-5615-4bfe-97f3-07582b56d998

EDM 5.2, Fifth grade

EDM 5th 5.1

http://exchange.smarttech.com/details.html?id=82346834-1163-4cd7-aaa4-a05ca77fc89e

EDM 5.1 for fifth grade curriculum

Other Activities, etc.Odyssey Lessons –

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