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Lessons for Grade 4
Common Core For Grade 4
Examples, videos, and solutions to help Grade 4 students learn how to model the equivalence of tenths and hundredths using the area model and number disks.
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 5
Worksheets for Grade 4
Lesson 5 Concept Development
Problem 1: Simplify hundredths by division.
Problem 2: Model hundredths with an area model.
Problem 3: Compose hundredths to tenths using number disks and then represent with a number bond.
Problem 4: Use numbers disks to represent a decimal fraction.
Write the equivalent decimal in unit form.
Lesson 5 Problem Set
1. Find the equivalent fraction using multiplication or division. Shade the area models to show the
equivalency. Record it as a decimal.
2. Complete the number sentences. Shade the equivalent amount on the area model, drawing horizontal
lines to make hundredths.
a. 37 hundredths = _____tenths + ____ hundredths
Fraction form: ______
Decimal form: ______
b. 75 hundredths = ____ tenths + ____ hundredths
Fraction form: ______
Decimal form: ______
3. Circle hundredths to compose as many tenths as you can. Complete the number sentences. Represent
each with a number bond as shown.
4. Use both tenths and hundredths number disks to represent each number. Write the equivalent number
in decimal, fraction, and unit form.
Lesson 5 Homework
1. Find the equivalent fraction using multiplication or division. Shade the area models to show the
equivalency. Record it as a decimal.
2. Complete the number sentences. Shade the equivalent amount on the area model, drawing horizontal
lines to make hundredths.
a. 36 hundredths = _____tenths + ____ hundredths
Decimal form: _________
Fraction form: _________
b. 82 hundredths = ____ tenths + ____ hundredths
Decimal form: _________
Fraction form: _________
3. Circle hundredths to compose as many tenths as you can. Complete the number sentences. Represent
each with a number bond as shown.
4. Use both tenths and hundredths number disks to represent each number. Write the equivalent number
in decimal, fraction, and unit form.
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