Draw a number bond and write the number sentence to match the tape diagram.
Question 2
2.
Lesson 1
Draw and label tape diagrams to model each number sentence.
Question 3
3.
Lesson 2
Step 1: Draw and shade a tape diagram of the given fraction.
Step 2: Record the decomposition of the fraction in three different ways using number sentences
Question 4
4.
Lesson 3
Decompose each fraction modeled by a tape diagram as a sum of unit fractions.
Write the equivalent multiplication sentence.
Question 5
5.
Lesson 3
Draw a tape diagram and record the given fraction’s decomposition into unit fractions as a multiplication sentence.
Question 6
6.
Lesson 4
The total length of the tape diagram represents 1. Decompose the shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
Question 7
7.
Lesson 4
Draw a tape diagram to prove the following statement.
Question 8
8.
Lesson 5
Draw horizontal lines to decompose each rectangle into the number of rows as indicated. Use the model to give the shaded area as both a sum of unit fractions and as a multiplication sentence.
Question 9
9.
Lesson 5
Draw an area model to show the decomposition represented by the number sentence below. Represent the decomposition as a sum of unit fractions and as a multiplication sentence.
Question 10
10.
Lesson 6
The rectangle below represents 1. Draw horizontal lines to decompose the rectangle into eighths. Use the model to give the shaded area as a sum and as a product of unit fractions. Use parentheses to show the relationship between the number sentences.
Question 11
11.
Lesson 7
Draw two different area models to represent 1 fourth by shading. Decompose the shaded fraction into (a) eighths and (b) twelfths. Use multiplication to show how each fraction is equivalent to 1 fourth.
Question 12
12.
Lesson 8
Use multiplication to create an equivalent fraction for the fraction below.
Question 13
13.
Lesson 8
Determine if the following is a true number sentence. If needed, correct the statement by changing the right-hand side of the number sentence.
Question 14
14.
Lesson 9
In the first area model, show 2 sixths. In the second area model, show 4 twelfths. Show how both fractions can be composed, or renamed, as the same unit fraction. Express the equivalent fractions in a number sentence using division.
Question 15
15.
Lesson 10
Draw an area model to show why the fractions are equivalent. Show the equivalence in a number sentence using division.
Question 16
16.
Lesson 11
Partition a number line from 0 to 1 into sixths.
Write a number sentence using multiplication to show what fraction represented on the number line is equivalent to 2/6.
Write a number sentence using division to show what fraction represented on the number line is equivalent to 2/6.
Question 17
17.
Lesson 12
Plot the following points on the number line without measuring.
Question 18
18.
Use the number line in Problem 17 to compare the fractions by typing >, ˂, or = in the blanks.
1/4 _______ 1/2
8/10 _______ 3/5
1/2 _______ 3/5
1/4 _______ 8/10
Question 19
19.
Lesson 13
Place the following fractions on the number line given.
Question 20
20.
Lesson 13
Compare the fractions using >, ˂, or =.
5/4 _______10/7
5/4 _______16/9
16/9 _______10/7
Question 21
21.
Lesson 14
Draw tape diagrams to compare the following fractions:
Question 22
22.
Lesson 14
Use a number line to compare the following fractions:
Question 23
23.
Lesson 15
Draw an area model for each pair of fractions, and use it to compare the two fractions by writing >, <, or = on the line.
Question 24
24.
Lesson 15
Draw an area model for each pair of fractions, and use it to compare the two fractions by writing >, <, or = on the line.
Question 25
25.
Lesson 16
Solve. Use a number bond to decompose the difference. Record your final answer as a mixed number.