# Into Math Grade 3 Module 9 Lesson 1 Answer Key Identify Number Patterns on the Addition Table

We included HMH Into Math Grade 3 Answer Key PDF Module 9 Lesson 1 Identify Number Patterns on the Addition Table to make students experts in learning maths.

## HMH Into Math Grade 3 Module 9 Lesson 1 Answer Key Identify Number Patterns on the Addition Table

I Can identify number patterns on an addition table. I can use the Identity and Commutative Properties of Addition to complete equations.

Jamie uses an addition table to find sums. As he records the sums in the table, he sees a pattern. What pattern could he describe?

Complete the addition table.

Turn and Talk Shade all squares that have a sum of 6 in the table. Explain a pattern you notice.

1. Jon uses patterns to find sums in an addition table.

A. Jon finds 0 + 3 and 5 + 0. Write other sums with 0 as one addend.
B. What pattern do you see when you find the sum of any number and o?
_____________
_____________
C. Jon finds 2 + 4 and 4 + 2. Choose a column and a row with the same addend. Write the sums. Record the equations.
_____________
_____________

Think: Look at the row for 5, write: 5 + 0 = 5, 5 + 1 = 6, 5 + 2 = 7, and so on.
Look at the column for 5, write: 0 + 5 = 5, 1 + 5 = 6, 2 + 5 = 7,and so on.

D. What pattern do you see in the equations you wrote?

Connect to Vocabulary
The Identity Property of Addition states that the sum of any number and zero is that number. The Commutative Property of Addition states that you can add two or more numbers in any order and get the same sum.

Turn and Talk Describe any other patterns you can use to find sums in the addition table.

Step It Out

2. Lea uses an addition table to explore even and odd numbers.

A. Choose a row with an even addend. Shade the sums that are even. What even or odd patterns do you see ¡n the addends and sums?
B. Choose a row with an odd addend. Shade the sums that are odd. 6
What even or odd patterns do 8 you see in the addends and sums?

Turn and Talk How can you decide if the sum of two addends will be even or odd?

Check Understanding Math Board

Question 1.
Use the Identity Property of Addition to find the sum. Then use the Commutative Property of Addition to write a related fact.
9 + 0 = ____ ____
Identity Property:
9 + 0 = 9
Commutative Property:
9 + 0 = 0 + 9 = 9

Explanation:
The addition of two numbers 9 and  is 9
In Commutative Property the addition of two numbers 0+9 and 9+0 is 9.

Is the sum even or odd? Write even or odd.

Question 2.
8 + 4 = ___
8 + 4 = 12

Explanation:
The  addition of 8 and 4 is 12
12 is an even number.

Question 3.
6 + 3 = ___
6 + 3 = 9

Explanation:
The  addition of 6 and 3 is 9
9 is an odd number.

Question 4.
7 + 9 = ___
7 + 9 = 16

Explanation:

The  addition of 7 and 3 is 9
16 is an even number.

Question 5.
Reason Mulan and Emily are playing a board game. They both start on the same space. Mulan moves 3 spaces and 8 spaces in her first two turns. Emily moves 8 spaces and 3 spaces in her first two turns. Compare the positions of Mulan and Emily after their first two turns. Explain.

Mulan moves in first turn =3
Mulan moves in second turn=8
Emily moves in first turn =8
Emily moves in second turn=3
The total moves of mulan in first and second turn is 3+8=11
The total moves of emily in first and second turn is 8+3=11
So they both are at the same positions.

Is the sum even or odd? Write even or odd.

Question 6.
5 + 4 _______
5 + 4 = 9

Explanation:
The  addition of 5 and 4 is 9
9 is an odd number.

Question 7.
1 + 9 _______
1 + 9 = 10

Explanation:
The  addition of 1 and 9 is 10
10 is an even number.

Question 8.
4 + 6 ____
4 + 6 = 10

Explanation:
The  addition of 4 and 6 is 10
10 is an even number.

Use the Identity Property of Addition to complete the equation.

Question 9.
0 + 4 = ___
Identity Property:
0+a =a
0+4= 4

Explanation:
The  addition of 0 and 4 is 4.

Question 10.
1 + 9 = ___
1 + 9 =10

Explanation:
The  addition of 1 and 9 is 10.

Question 11.
3 = ___ + 10
3 = -7 + 10

Explanation:
The  subraction of -7 from 10 is 3.

Find the sum. Use the Commutative Property of Addition to write the related addition fact.

Question 12.
5 + 7 = ___
Commutative Property:
a+b=b+a
5+7=7+5=12

Explanation:
The  addition of both 5 +7 and 7+5 and is 12.

Question 13.
4 + 10 = ___
Commutative Property:
a+b=b+a
4+10= 10+4=14

Explanation:
The  addition of both 4+10 and 10+4 and is 14.

Question 14.
6 + 8 = ___
Commutative Property:
a+b=b+a
6+8=8+6=14

Explanation:
The  addition of both 6+8 and 8+6 and is 14.

Question 15.
Critique Reasoning Ryan says that the sum of two odd addends is an odd number. Is Ryan correct? Explain.