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


Theme Essential Question:



Essential Questions:
5NF.5a

  • 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:
  1. 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.
  1. 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.


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


Multicultural Concepts
Ethnicity/Culture | Immigration/Migration | Intercultural Competence | Socialization | Racism/Discrimination
High Yield Strategies
Similarities/Differences | Summarizing/Notetaking | Reinforcing/Recognition | Homework/Practice |
Non-Linguistic representation | Cooperative Learning | Objectives/Feedback |
Generating-Testing Hypothesis | Cues, Questions, Organizers







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:
http://nlvm.usu.edu/en/nav/grade_g_1.html


Smartboard Lessons, Promethean Lessons

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.

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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