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Mixed Numbers and Area Models

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



Examples, videos, and solutions to help Grade 4 students learn how to use the area model and number line to represent mixed numbers with units of ones, tenths, and hundredths in fraction and decimal forms.

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 6

Download Worksheet for Common Core Grade 4, Module 6, Lesson 6

Lesson 6 Concept Development

Problem 1: Represent mixed numbers with units of ones, tenths, and hundredths using area models.

Problem 2: Represent mixed numbers with units of ones, tenths, and hundredths on a number line.

Problem 3: Match the unit form of a mixed number to its decimal and fraction forms.



Lesson 6 Problem Set

1. Shade the area models to represent the number, drawing horizontal lines to make hundredths as needed. Locate the corresponding point on the number line. Label with a point and record the mixed number as a decimal.

2. Estimate to locate the points on the number lines.

3. Write the equivalent fraction and decimal for each of the following numbers.
a. 1 one 2 hundredths
b. 1 one 17 hundredths
c. 2 ones 8 hundredths
d. 2 ones 27 hundredths
e. 4 ones 58 hundredths
f. 7 ones 70 hundredths

4. Draw lines from dot to dot to match the decimal form to both the unit form and fraction form. All unit forms and fractions have at least one match, and some have more than one match.


Lesson 6 Homework

1. Shade the area models to represent the number, drawing horizontal lines to make hundredths as needed. Locate the corresponding point on the number line. Label with a point and record the mixed number as a decimal.

2. Estimate to locate the points on the number lines.

3. Write the equivalent fraction and decimal for each of the following numbers.
a. 2 ones 2 hundredths
b. 2 ones 16 hundredths
c. 3 ones 7 hundredths
d. 1 one 18 hundredths
e. 9 ones 62 hundredths
f. 6 ones 20 hundredths

4. Draw lines from dot to dot to match the decimal form to both the unit form and fraction form. All unit forms and fractions have at least one match, and some have more than one match.

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