We included **HMH Into Math Grade 5 Answer Key PDF** **Module 19 Lesson 5 Identify and Graph Relationships and Patterns **to make students experts in learning maths.

## HMH Into Math Grade 5 Module 19 Lesson 5 Answer Key Identify and Graph Relationships and Patterns

I Can write and graph ordered pairs on a coordinate grid using two numerical patterns.

**Step It Out**

Question 1.

In math class, Fernando learns that the rule “Add 1” to the side length of a triangle with equal side lengths results in the rule “Add 3” to the perimeter.

A. Write the values generated by these rules in the table.

Answer:

Explanation:

Side lengths by adding one: 0, 1, 2, 3, 4

perimeters by adding three: 0, 3, 6, 9, 12

B. Use the values in the table to write ordered pairs that relate the side length to the corresponding perimeter.

Answer:

By the values from the above table:

(0,0), (1, 3), (2, 6), (3, 9), (4, 12)

C. Graph the ordered pairs on the coordinate grid.

Answer:

D. How does the perimeter relate to side length?

Answer:

1 x 3 = 3

2 x 3 = 6

3 x 3 = 9

multiples of 3 are the perimeter lengths.

**Turn and Talk** What are some other ordered pairs that could fit the pattern? How do you know?

Answer:

(5, 15) and (6,18)

Because these are the 6th and 7th coordinate pairs of the given pattern

Question 2.

A science class uses salt and water to make a saltwater battery. The table shows the amount of salt needed for the amount of water used.

A. How does the amount of salt needed relate amount of water used?

Answer:

For every process we have to increase by one spoon

3 + 1 = 4

6 + 2 = 8

9 + 3 = 12

12 + 4 = 16

15 + 5 = 20 as on

B. Use the values in the table to write ordered pairs.

Answer:

(0, 0), (3, 4), (6, 8), (9, 12), (12, 16)

C. Label the axes. Graph the ordered pairs on the coordinate grid.

Answer:

D. If the class uses 15 cups of water, how much salt does the class need?

Answer:

20 spoons of salt is needed

Explanation:

For every process we have to increase by one spoon

3 + 1 = 4

6 + 2 = 8

9 + 3 = 12

12 + 4 = 16

15 + 5 = 20 as on

**Turn and Talk** If one group of students uses 2 teaspoons of salt, how much water does the group use? Explain how you know.

Answer:

One and half cup of water is used according to the pattern

for every half cup one spoon of salt is used.

**Check Understanding**

Question 1.

Fernando also learns in math class that the rule “Add 1” to the side length of a pentagon with equal side lengths results in the rule “Add 5” to the perimeter. Write four ordered pairs that relate the side length of a pentagon to the perimeter of the pentagon.

Answer:

Explanation:

For one pentagon there will be 5 sides

and for 2 pentagons there will be ten sides

so, 5 sides for each.

(1, 5), (2, 10), (3,15), (4, 20), (5, 25)

**Use the table for 2-4.**

Question 2.

Use the values in the table to write ordered pairs.

Answer:

(0, 0), (1, 8), (2 , 16)

Explanation:

Miss rosy works in gas station for one hour she earns 8 dollars

for every hour “add 8” is used.

order pairs are formed according to the pattern.

Question 3.

Graph the ordered pairs. Label the axes.

Answer:

Explanation:

Graph is plotted according to the order pairs on the coordinate grid.

Question 4.

What would be the earnings for 4 hours of work?

Answer:

for 4 hours Miss rosy earns 32 dollars

Explanation:

Miss rosy works in gas station for one hour she earns 8 dollars

for every hour “add 8” is used.

order pairs are formed according to the pattern.

**On Your Own**

Question 5.

For each person, $10 is added to the bill.

Complete the table.

Use the values in the table to write ordered pairs.

Answer:

Explanation:

for one person it is $10

by following the pattern for 2 persons the bill will be $20 and so on.

What would be the amount of the bill for 6 people?

Answer:

for one person it is $10

by following the pattern for 2 persons the bill will be $20 and for 6 persons the the bill will be $60.

Question 6.

**STEM** In an experiment, vinegar and iodine are mixed together to make a clear liquid. After 1 minute, the clear liquid changes to a dark liquid. The table shows the amount of iodine needed for the amount of vinegar used.

Graph the ordered pairs represented in the table. Label the axes.

Answer:

Explanation:

The order pairs are plotted on the coordinate grid

and graph is plotted .

How much iodine is needed for 10 teaspoons of vinegar?

Answer:

for 10 teaspoons of vinegar we need 15 drops of iodine is used to get the clear liquid

How much vinegar is needed for 12 drops of iodine?

Answer:

from the above table we can say that for 12 drops of iodine we need 8 spoons of vinegar.

Question 7.

**Use Structure** The graph shows the distance Cora walks.

Write the ordered pairs that correspond to the points in this graph.

Answer:

(0, 0), (1, 3), (2, 6), (3, 9), (4, 12), (5, 15)

Explanation:

The distance walked by Cora for one hour she walks 3 miles

and for every hour she walks 3 miles.

How is the distance Cora walks related to the amount of time she walks?

Answer:

The distance walked by Cora for one hour she walks 3 miles

and for every hour she walks 3 miles.