We included **H****MH Into Math Grade 1 Answer Key**** PDF** **Module 3 Lesson 6 Determine Equal and Not Equal** to make students experts in learning maths.

## HMH Into Math Grade 1 Module 3 Lesson 6 Answer Key Determine Equal and Not Equal

I Can draw and write to show whether an equation is true or false.

**Step It Out**

1. How can you use objects to show that this equation is true?

10 – 6 = 2 + 2

A.

Answer:

B. Solve each side of the equation.

10 – 6 = ___ and 2 + 2 = ___.

C. Are both sides equal? Yes No

D. Is the equation true? Yes No

Explanation:

I used counters to show the equations 10 – 6 and 2 +2

10 – 6 = 4 and 2 + 2 = 4

Yes, both the sides are equal

Yes, the equation 10 -6 = 2 +2 is ture.

**Step It Out**

2. Is this equation true or false?

5 + 1 = 9 – 4

A. Find the difference or sum on both sides of the equation.

5 + 1 = ___ and 9 – 4 = ___

B. Are both sides equal? ___

C. Is the equation true or false? ___

Answer:

The equation 5 + 1 = 9 – 4 is false

Explanation:

Find the sum on both sides of the equation

5 + 1 = 6

9 – 4 = 5

Both the sides are not equal

So, the equation 5 + 1 = 9 – 4 is false.

3. Is this equation true or false?

4 + 3 + 1 = 6 + 2

A. Find the sum on both sides of the equation.

4 + 3 + 1 = ___ and 6 + 2 = ___

B. Are both sides equal? ____

C. Is the equation true or false? ___

Answer:

The equation 4 + 3 + 1 = 6 + 2 is true.

Explanation:

Find the sum on both sides of the equation

4 + 3 + 1 = 7 + 1 = 8

6 + 2 = 8

both the sides are equal

So, the equation 4 + 3 +1 = 6 + 2 is true.

4. Circle the equations that are true.

3 + 5 = 8 + 1 6 – 2 = 1 + 3 8 = 10 – 2

9 – 2 = 4 + 3 7 + 3 = 2 + 6 12 = 12

Answer:

Explanation:

I drew circles around the equations that are equal

The equations will be equal if both the sides are equal

6 – 2 = 1 + 3 = 4

8 = 10 – 2 = 8

9 – 2 = 4 + 3 = 7

12 = 12

So, all the above equations are equal on both sides.

**Step It Out**

**Find the number to make the equation true.**

5. 3 + 5 = + 3

A. Show your thinking. Draw to complete the visual model.

Answer:

Explanation:

I drew cubes to complete the equation

3 + 5 = 8

So, i drew 5 cubes in the empty box

So, the number 5 makes the equation true equation.

**Check Understanding Math Board**

Question 1.

Write the number that makes the equation true.

2 + 3 = 1 + 4 True False

Answer:

2 +3 = 1 + 4 = 5

The number 5 makes the equations true

Explanation:

2 + 3 = 5

1 + 4 = 5

So, the equation 2 +3 = 1 + 4 is true

The number 5 makes the equation true.

**On Your Own**

**Reason Is the equation true or false? Circle your answer. Draw to show how you know.**

Question 2.

7 + 1 = 4 + 4 True False

Answer:

Explanation:

I drew to show the sums 7 + 1 and 4 + 4

The equation 7 + 1 = 4 + 4 is true.

So, i drew a circle around the word true.

Question 3.

6 – 2 = 0 + 4 True False

Answer:

Explanation:

I drew to show the sums 6 – 2 and 0 + 4

The equation 6 – 2 = 0 + 4 is true.

So, i drew a circle around the word true.

**Attend to Precision Circle True or False.**

Question 7.

7 + 3 = 9 + 1 True False

Answer:

Explanation:

I drew to show the sums 7 + 3 and 9 + 1

The equation 7 + 3 = 9 + 1 is true.

So, i drew a circle around the word true.

Question 8.

6 = 11 – 4 True False

Answer:

Explanation:

I drew 11 – 4

The difference is 7

So, 6 = 11- 4 is false equation

I drew a circle around the word false.

Question

2 + 5 = 9 – 3 True False

Answer:

Explanation:

I drew to show the sums 2 + 5 and 9 – 3

2 + 5 = 7

9 – 3 = 6

Both are not equal

So, 2 + 5 = 9 – 3 is a false equation

I drew a circle around the word false.

Question 7.

1 + 2 + 6 = 3 + 6 True False

Answer:

Explanation:

I drew to show the sums 1 + 2 + 6 and 3 + 6

The equation 1 + 2 + 6 = 3 + 6 is true.

So, i drew a circle around the word true.

Question 8.

**Construct Arguments** Michael wrote 6 + 7 = 10 – 3. He made a mistake.

A. Explain the mistake Michael made.

_____________________

_____________________

Answer:

Michael wrote 6 + 7 = 10 – 3

His mistake is he used a wrong operation

He should chose addition operation instead of subtraction operation.

B. How could you make the equation true?

_____________________

_____________________

Answer:

Instead of 10 – 3 Michael should use 10 + 3

6 + 7 = 13

10 + 3 = 13

So, 6 + 7 = 10 + 3 = 13.

**Write the number to make each equation true.**

Question 9.

6 = ___

Answer:

6 = 10 – 4

Explanation:

10 – 4 = 6

So, 6 = 10 – 4.

Question 10.

4 + 8 = ___ + 4

Answer:

4 + 8 = 8 + 4

Explanation:

4 + 8 = 12

8 + 4 = 12

So, 4 + 8 = 8 + 4.

Question 11.

___ + 1 = 2 + 2

Answer:

3 + 1 = 2 + 2

Explanation:

2 + 2 = 4

3 + 1 = 4

So, 3 + 1 = 2 + 2.

Question 12.

___ – 1 = 9 – 7

Answer:

3 – 1 = 9 – 7

Explanation:

9 – 7 = 2

3 – 1 = 2

So, 3 – 1 = 9 – 7.

Question 13.

10 – ___ = 4 + 3

Answer:

10 – 3 = 4 + 3

Explanation:

4 + 3 = 7

10 – 3 = 7

So, 4 + 3 = 10 – 7.

Question 14.

6 + ___ = 2 + 3 + 1

Answer:

6 + 0 = 2 + 3 + 1

Explanation:

2 + 3 + 1 = 6

6 + 0 = 6

So, 6 + 0 = 2 + 3 + 1.

Question 15.

4 = ___ – 9

Answer:

4 = 13 – 9

Explanation:

Add 9 and 4

9 + 4 = 13

So, 13 – 9 = 4.

Question 16.

___ + 5 = 2 + 9

Answer:

6 + 5 = 2 + 9

Explanation:

2 + 9 = 11

6 + 5 = 11

So, 6 + 5 = 2 + 9.

Question 17.

**Open Ended** Write numbers to make each equation true.

__ + 6 = 1 + ___

5 + __ = 8 – ___

Answer:

2 + 6 = 1 + 7

5 + 2 = 8 – 1

Explanation:

I wrote the numbers in the equations so that each equation will be true

2 + 6 = 8

1 + 7 = 8

So, 2 + 6 = 1 + 7

5 + 2 = 7

8 – 1 = 7

So, 5 + 2 = 8 – 1.

**On Your Own**

Question 18.

Look at the equation. Use the same numbers. Write a different equation that is true.

Answer:

Explanation:

The given addition equation is 6 + 7 = 13

I used the same numbers 6, 7 and 13

I wrote a subtraction equation 13 – 7 = 6

So, 6 = 13 – 7.

Question 19.

**Reason** Use two cards to write an equation that is true.

Answer:

Explanation:

I drew circles around the cards i used

3 + 9 = 12

8 + 4 = 12

So, 3 + 9 = 8 + 4.

Question 20.

**Reason** Use two cards to write an equation that is true.

Answer:

Explanation:

I circled the two cards that i used

2 + 3 + 4 = 9

15 – 6 = 9

So, 2 + 3+ 4 = 15 – 9.