Fraction Equivalence and Decimal Numbers


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Lesson Plans and Worksheets for Grade 4
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Common Core For Grade 4




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Examples, videos, and solutions to help Grade 4 students learn how to use understanding of fraction equivalence to investigate decimal numbers on the place value chart expressed in different units.

Topic B: Tenths and Hundredths

Common Core Standards: 4.NF.5, 4.NF.6, 4.NBT.1, 4.NF.1, 4.NF.7, 4.MD.1

NYS Common Core Grade 4, Module 6, Lesson 8

Worksheets for Grade 4

Lesson 8 Concept Development
Problem 1: Represent numbers in unit form in terms of different units using the area model.
Problem 2: Represent numbers in unit form in terms of different units using place value disks.
Problem 3: Decompose mixed numbers to express as smaller units.




Lesson 8 Problem Set

  1. Use the area model to represent 250/100. Complete the number sentence.
    b. In the space below, explain how you determined your answer to (a).
  2. Draw place value disks to represent the following decompositions.
    2 ones = ________ tenths
    2 tenths = ________ hundredths
    1 one 3 tenths = ____ tenths
    2 tenths 3 hundredths = ____ hundredths
  3. Decompose the units to represent each number as tenths.
    a. 1 = ____ tenths
    b. 2 = ____ tenths
    c. 1.7 = _____ tenths
    d. 2.9 = _____ tenths
    e. 10.7 = _____ tenths
    f. 20.9 = _____ tenths
  4. Decompose the units to represent each number as hundredths.
    a. 1 = _____ hundredths
    b. 2 = _____ hundredths
    c. 1.7 = _____ hundredths
    d. 2.9 = _____ hundredths
    e. 10.7 = _____ hundredths
    f. 20.9 = _____ hundredths
  5. Complete the chart. The first one has been done for you.


Lesson 8 Homework

  1. Use the area model to represent 220/100. Complete the number sentence.
    b. In the space below, explain how you determined your answer to (a).
  2. Draw place value disks to represent the following decompositions.
    5 ones = ________ tenths
    7 tenths = ________ hundredths
    2 ones 4 tenths = ____ tenths
    8 tenths 3 hundredths = ____ hundredths
  3. Decompose the units to represent each number as tenths.
    a. 1 = _____ tenths
    b. 2 = _____ tenths
    c. 1.3 = _____ tenths
    d. 2.6 = _____ tenths
    e. 10.3 = _____ tenths
    f. 20.6 = _____ tenths
  4. Decompose the units to represent each number as hundredths.
    a. 1 = _____ hundredths
    b. 2 = _____ hundredths
    c. 1.3 = _____ hundredths
    d. 2.6 = _____ hundredths
    e. 10.3 = _____ hundredths
    f. 20.6 = _____ hundredths
  5. Complete the chart. The first one has been done for you.

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