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.

**Spark Your Learning**

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?

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C. Jon finds 2 + 4 and 4 + 2. Choose a column and a row with the same addend. Write the sums. Record the equations.

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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 = ____ ____

Answer:

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 = ___

Answer:

8 + 4 = 12

Explanation:

The addition of 8 and 4 is 12

12 is an even number.

Question 3.

6 + 3 = ___

Answer:

6 + 3 = 9

Explanation:

The addition of 6 and 3 is 9

9 is an odd number.

Question 4.

7 + 9 = ___

Answer:

7 + 9 = 16

Explanation:

The addition of 7 and 3 is 9

16 is an even number.

**On Your Own**

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.

Answer:

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 _______

Answer:

5 + 4 = 9

Explanation:

The addition of 5 and 4 is 9

9 is an odd number.

Question 7.

1 + 9 _______

Answer:

1 + 9 = 10

Explanation:

The addition of 1 and 9 is 10

10 is an even number.

Question 8.

4 + 6 ____

Answer:

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 = ___

Answer:

Identity Property:

0+a =a

0+4= 4

Explanation:

The addition of 0 and 4 is 4.

Question 10.

1 + 9 = ___

Answer:

1 + 9 =10

Explanation:

The addition of 1 and 9 is 10.

Question 11.

3 = ___ + 10

Answer:

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 = ___

Answer:

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 = ___

Answer:

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 = ___

Answer:

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.

Answer:

No, the sum of two odd addends is an odd number is a wrong answer because

The sum of two odd addends 3+1=4

The sum of two odd addends 9+11=20

So the sum of two odd addends is an even number.

**I’m in a Learning Mindset!**

What strategy did I use to find patterns with even and odd addends?

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