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Lessons for Grade 4
Common Core For Grade 4
Examples, solutions, and videos to help Grade 4 students learn how to add a fraction less than 1 to, or subtract a fraction less than 1
from, a whole number using decomposition and visual models.
Common Core Standards: 4.NF.1,
4.NF.2,
4.NF.3,
4.NBT.6,
4.NF.4a,
4.MD.4
NYS Common Core Grade 4 Module 5, Lessons 22
Worksheets for Grade 4
Lesson 22 Concept Development
Problem 1: Add a fraction less than 1 to a whole number using a tape diagram.
Problem 2: Subtract a fraction less than 1 from a whole number using a tape diagram.
Problem 3: Given three related numbers, form fact family facts.
Problem 4: Subtract a fraction less than 1 from a whole number using decomposition.
Lesson 22 Problem Set
1. Draw a tape diagram to match each number sentence. Then complete the number sentence.
a. 3 + 1/3
b. 4 + 3/4
c. 3 - 1/4
d. 5 - 2/5
2. Use the following three numbers to write two subtraction and two addition number sentences.
a. 6, 6 2/8, 3/8
b. 4/7, 9, 8 3/7
3. Solve using a number bond. Draw a number line to represent each number sentence. The first one has
been done for you.
a. 4 - 1/3
b. 5 - 2/3
c. 7 - 3/8
d. 10 - 4/10
4. Complete the subtraction sentences using number bonds.
a. 3 - 1/10 =
b. 5 - 3/4 =
c. 6 - 5/8 =
d. 7 - 3/9 =
e. 8 - 6/10 =
f. 29 - 9/12 =
Lesson 22 Homework
1. Draw a tape diagram to match each number sentence. Then complete the number sentence.
a. 2 + 1/4
b. 3 + 2/3
c. 2 - 1/5
d. 3 - 1/4
2. Use the following three numbers to write two subtraction and two addition number sentences.
a. 4, 4 5/8, 5/8
b. 2/7, 5 5/7, 6
3. Solve using a number bond. Draw a number line to represent each number sentence. The first one has
been done for you.
a. 4 - 1/3
b. 8 - 5/6
c. 7 - 4/5
d. 3 - 3/10
4. Complete the subtraction sentences using number bonds.
a. 6 - 1/4 =
b. 7 - 2/10 =
c. 5 - 5/6 =
d. 6 - 6/9 =
e. 3 - 7/8 =
f. 26 - 7/10 =
Check out our most popular games!
Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.
Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.
Penguin Solitaire
Penguin Solitaire is a fun game that aims to move all cards to the foundations to build four full sequences. There are two versions here: Penguin (Tuxedo) and Penguin (Original).
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