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Number and
Operations—1.3.D
Algebraic Reasoning—1.5.G
MATHEMATICAL PROCESSES
1.1.C, 1.1.F
Name
4.5
HANDS ON
ALGEBRA
?
Add in Any Order
Essential Question
Why can you add addends in any order?
Hands
On
Explore
Explore
© Houghton Mifflin Harcourt Publishing Company
Use
to model the addition sentence.
Draw to show your work.
Math Talk
Mathematical Processes
FOR THE TEACHER • Direct children to do the
following. Use connecting cubes to show 2 + 3
and then 3 + 2.
Module 4
How is 2 + 3 = 5 the
same as 3 + 2 = 5?
Explain how it is
different.
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139
Model
Model and
and Draw
Draw
Write the addition
sentence.
The order of the addends changes.
What do you notice about the sum?
1 + 3 = 4
addends
—
C C
—
—
sum
Share
Share and
and Show
Show
Use
to add.
Color to match.
Write the sum.
Change the order of the
addends. Color to match.
Write the addition sentence.
1.
2+3=—
—
C C
—
—
2+4=—
—
C C
—
—
4+1=—
—
C C
—
3.
140
one hundred forty
—
© Houghton Mifflin Harcourt Publishing Company
2.
Name
Problem
Problem Solving
Solving
Use
. Write the sum.
Circle the addition sentences
in each row that have the same
addends in a different order.
4.
1+2=—
1+3=—
2+1=—
5.
1+5=—
4+2=—
2+4=—
6.
Multi-Step Choose addends
to complete the addition sentence.
Change the order. Write the numbers.
— + — = 10
© Houghton Mifflin Harcourt Publishing Company
7.
— + —=—
Multi-Step Write two addition
sentences that tell about the picture.
—
C C
—
—
C C
—
—
—
Module 4 • Lesson 5
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141
Mathematical Processes
M
Daily
Daily Assessment
Assessment Task
Task
Model ¥ Reason ¥ Communicate
M
Choose the correct answer.
8. The picture shows Omar’s shells.
The addition sentence 5 + 3 = 8
tells about the picture. What
other addition sentence tells
about the picture?
3+3=6
5+2=7
3+5=8
9. Analyze Pam knows that 4 + 1 = 5.
Which other addends have a sum of 5?
1+4
5+1
4+5
10. Gabe wrote 4 + 3 = 7. He put the addends
in a different order. Which is the addition
sentence he wrote?
2+5=7
11.
3+4=7
3 + 7 = 10
TEXAS Test Prep Which shows the same
4+1=5
2+3=5
3+5=8
3+2=5
TAKE HOME ACTIVITY • Ask your child to use small objects of
the same kind to show 2 + 4 and 4 + 2, and then explain to you
why the sums are the same. Repeat with other addition sentences.
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© Houghton Mifflin Harcourt Publishing Company
addends in a different order?
Number and Operations—1.3.D
Algebraic Reasoning–1.5.G
MATHEMATICAL PROCESSES 1.1.C, 1.1.F
Homework
and Practice
4.5
HANDS ON
ALGEBRA
Name
Add in Any Order
. Write the sums. Circle the addition
Use
sentences in each row that have the same
addends in a different order.
1.
1+4=—
4+1=—
1+5=—
2.
3+4=—
4+2=—
4+3=—
Problem
Problem Solving
Solving
Write or draw to solve.
3. Write two addition
sentences that tell about
the picture.
© Houghton Mifflin Harcourt Publishing Company
—
C C
—
—
—
C C
—
—
4. Multi-Step Choose addends to complete
the addition sentence. Change the order.
Write the numbers.
—
Module 4
+
—
=9
—
+
—
=
—
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143
TEXAS Test Prep
Lesson
Lesson Check
Check
Choose the correct answer.
5. The picture shows Lexi’s
pets. The addition
sentence 3 + 6 = 9 tells
about the picture. What
other addition sentence
tells about the picture?
6 + 4 = 10
6+3=9
3+5=8
6. Colin writes 2 + 1 = 3. Which other
addends could he write that have a
sum of 3?
3+1
1+2
2+3
7. Which shows the same addends in a
different order?
4+2=6
4+1=5
2+6=8
2+4=6
the addends in a different order. Which
of these could be the addition sentence
she wrote?
4 + 6 = 10
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3 + 7 = 10
4+2=6
© Houghton Mifflin Harcourt Publishing Company
8. Carly wrote 6 + 4 = 10. Then she put