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.