We included **H****MH Into Math Grade 5 Answer Key**** PDF** **Module 4 Lesson 1 Write Numerical Expressions** to make students experts in learning maths.

## HMH Into Math Grade 5 Module 4 Lesson 1 Answer Key Write Numerical Expressions

I Can write a numerical expression to model a real-world situation, and I can interpret a numerical expression.

**Spark Your Learning**

A drum line is made up of 14 fourth-grade drummers and 12 fifth-grade drummers. The fourth-grade drummers stand in a line, and the fifth-grade drummers stand in a line behind them.

Draw a visual model of the situation. Describe how you can represent how many more drummers are in fourth grade than in fifth grade.

Answer:

2 more in fourth grade,

Explanation:

Given a drum line is made up of 14 fourth-grade drummers and 12 fifth-grade drummers. The fourth-grade drummers stand in a line,

and the fifth-grade drummers stand in a line behind them.

Drawn a visual model of the situation above,

Represented by drawing 2 more drummers are in fourth grade than in fifth grade as 14 – 12 = 2.

**Turn and Talk** How do you know which operation to use for a situation?

Answer:

Carefully reading and understanding,

Explanation:

The best way to determine what operations I will need to introduce to the values that are presented in the problem is to read the problem

carefully and look for words that indicate what is being asked. There are many different types of words and phrases that will indicate a certain operation.

**Build Understanding**

1. Every day Thora practices each page of this music 6 times.

**Draw a visual model to show the number of pages Thora practices each day. Explain your visual model.**

A. Which operation describes the situation? How do you know?

Answer:

Addition operation,

Explanation:

Given every day Thora practices each page of this music 6 times.

Drawn a visual model to show the number of pages Thora practices each day so same page is drawn 6 times, addition operation describes the situation as it is 6 times

we add same page 6 times suppose if it is page 1 we take as page 1 + page 1 + page 1 + page 1 + page 1 + page 1 = 6 times same page 1.

**Connect to Vocabulary**

You can model a context mathematically using a numerical expression. A numerical expression is a mathematical phrase that uses only numbers and operation signs.

B. How can you model the number of pages express of music Thora practices each day using a numerical expression? ___

C. Describe what the numbers and operation sign in your numerical expression represent.

__________________________

__________________________

Answer:

B. Numerical expression 1 + 1 + 1 + 1 + 1 + 1 = 6,

C. number 1 and +,

Explanation:

B. The number of pages express of music Thora practices each day using a numerical expression is

1 + 1 + 1 + 1 + 1 + 1 = 6,

C. The numbers and operation sign in my numerical expression is 1 means same page 1 and sign is + means we add same page 6 times.

**Turn and Talk** How would the expression change if Thora practices the same number of pages for 5 days?

Answer:

6 pages X 5,

Explanation:

Given if the expression change if Thora practices the same number of pages for 5 days it will change by multiplication sign as 6 pages X 5.

2. Mr. Lopez bought a snack 2 times this week while watching the drum line practice. Both days he started with the same amount of money and had $3 left after he bought his snack.

A. How can you model the amount of money Mr. Lopez spent in one day? Write a numerical expression.

__________________________

B. How can you model the amount of money he spent on snacks? Write a numerical expression for each day.

__________________________

C. How can you model the amount of money he spent in 2 days using a single numerical expression? Use two operation signs and parentheses in your numerical expression.

__________________________

D. How do you know where to place the parentheses in your numerical expression?

Answer:

A. x – y =$3,

B. y,

C. 2(x – y)= 2 X $3,

D. While repeating,

Explanation:

Given Mr. Lopez bought a snack 2 times this week while watching the drum line practice. Both days he started with the same amount of money and had $3 left after he bought his snack.

A. Let x be the amount of money Mr. Lopez had for each day and y is the amount of snack,

so the numerical expression for one day is x – y =$3.

B. The amount of money he spent on snacks,

Numerical expression for each day is y.

C. The amount of money he spent in 2 days using a single numerical expression is 2(x – y)= 2 X $3.

D. To place the parentheses in my numerical expression if the same expression is repeated.

**Turn and Talk** Suppose there were no parentheses in your numerical expression from Part C. Would the answer be the same? Why or why not?

Answer:

Answer may vary

Explanation:

If there were no parentheses in my numerical expression from part C – 2(x – y)= 2 X $3, answer may vary it would have been

2x – y = 2 X $3, instead of 2 days amount y spend may be considered for one day.

**Check Understanding Math Board**

**Write a numerical expression to model the situation.**

Question 1.

Beverly has 2 pens. She buys 1 more pen.

Answer:

x = 2 + 1,

Explanation:

Given Beverly has 2 pens.

She buys 1 more pen, numerical expression to model the situation is supposed x be total number of pens Beverly have in all are x = 2 + 1.

Question 2.

Two students share 8 markers equally.

Answer:

x = 8 ÷ 2,

Explanation:

Given two students share 8 markers equally let x be the share so x = 8 ÷ 2.

**On Your Own**

Question 3.

**Model with Mathematics** Fifteen ensembles, or groups of musicians, perform in the summer parade. Each group has the same number of performers as shown. Write a numerical expression that models the total number of performers in the parade.

Answer:

15x

Explanation:

Given fifteen ensembles, or groups of musicians, perform in the summer parade. Each group has the same number of performers as shown. A numerical expression that models the total number of performers in the parade are let x be the number of groups so 15x.

**Write a numerical expression to model the words.**

Question 4.

Add 28 and 15.

Answer:

43,

Explanation:

Given to add 28 to 15 we will get

28

+15

43.

Question 5.

Subtract 1 from 12 and then multiply the difference by 4.

Answer:

44,

Explanation:

Given to subtract 1 from 12 and then multiply the difference by 4 is (12 – 1) X 4 = 11 X 4 = 44.

Question 6.

**Reason** Clarence deletes 1 of 17 folders of photos from a computer. He puts an equal number of the remaining folders onto two computer drives. Write a numerical expression to model the situation. How do you know your answer is correct?

Answer:

(17 -1) ÷ 2,

Explanation:

Given Clarence deletes 1 of 17 folders of photos from a computer. He puts an equal number of the remaining folders onto two computer drives, Numerical expression to model the situation is (17 – 1) ÷ 2, the answer is correct because first we will subtract 1 folder and remaining folders we are dividing by 2 we will get exact results.

**I’m in a Learning Mindset!**

What is still unclear about numerical expressions?

____________________________

____________________________

____________________________

Answer:

Is the expression correct or not,

Explanation:

If we recheck the results then we will be clear about numerical expression otherwise we think expression is still unclear.