We included HMH Into Math Grade 5 Answer Key PDF Module 12 Lesson 3 Represent and Interpret Measurement Data in Line Plots to make students experts in learning maths.
HMH Into Math Grade 5 Module 12 Lesson 3 Answer Key Represent and Interpret Measurement Data in Line Plots
I Can make a line plot to display data in fractional measurements and use the line plot to solve problems.
Step it Out
Question 1.
Students measured different amounts of water into their beakers for an experiment. If the total amount of water ¡s redistributed equally, how much water will be n each beaker?
A. Complete the line plot by recording the data for the beakers. The first two amounts have been recorded.
Answer:
Explanation:
A line plot is a graph that displays data using a number line.
For creating a line plot, we have to create a number line that includes all the values in the data set.
B. How many cups of water are in the beakers that contain \(\frac{1}{4}\) cup of water?
Answer:
There are 6 cups of water are in the beakers that contain \(\frac{1}{4}\) cup of water
There are 6 marks on the line plot that shows 6 cups of water.
C. What is the total number of cups of water?
Answer:
1.5 + 0.5 + 1.5 + 1.25 +1.5+ 1.75 = 8
Explanation:
There are 8 cups of water in the beakers.
D. How many beakers are there?
Answer:
There are 12 beakers
Which are holding some amount of water.
E. Redistribute the water equally among all the beakers. How many cups of water will be in each beaker?
Answer:
\(\frac{2}{3}\)
Explanation:
There are 8 cups of water and 12 beakers
so, shared 8 cups of water among 12 beakers each beaker get \(\frac{2}{3}\) cups of water.
Turn and Talk How would the redistribution change if there were four more beakers with 1\(\frac{1}{2}\) cups of water in each beaker?
Answer:
Explanation:
12 + 4 = 16 beakers
and 8 cups of water and 1\(\frac{1}{2}\) x 4 = 6
8 + 6 = 14 cups of water
14 cups of water shared among 16 beakers.
\(\frac{7}{8}\) cups of water in each beaker.
Question 2.
Lamar divides three 2-pound boxes of cherries into smaller boxes. The first box is divided into boxes weighing \(\frac{1}{8}\) pound each, the second box is divided into boxes weighing \(\frac{1}{4}\) pound each, and the third box is divided into boxes weighing \(\frac{1}{2}\) pound each.
Find the number of \(\frac{1}{8}\)-, \(\frac{1}{4}\)-, and \(\frac{1}{2}\)-pound cherry boxes. Then graph the results on a line plot.
A. Use division to find the number of \(\frac{1}{8}\)-pound, \(\frac{1}{4}\)-pound, and \(\frac{1}{2}\)-pound boxes that were made from the three original 2-pound boxes of cherries.
Answer:
B. Make a line plot. Include a title to describe what you are counting. Then plot an X for each \(\frac{1}{4}\)-pound, and \(\frac{1}{2}\)-pound cherry box.
Answer:
C. How many more \(\frac{1}{8}\)-pound cherry boxes are there than \(\frac{1}{2}\)-pound cherry boxes?
Answer:
Turn and Talk Explain why there are more \(\frac{1}{8}\)-pound cherry boxes than \(\frac{1}{2}\)-pound cherry boxes.
Answer:
Check Understanding
Question 1.
Charles poured different amounts of milk into some bowls. Show the amounts on the line plot.
Answer:
Question 2.
What is the total amount of milk that Charles poured?
Answer:
5 x \(\frac{1}{4}\) = \(\frac{5}{4}\)
2 x \(\frac{1}{8}\) = \(\frac{2}{8}\)
2 pints is the total amount of milk that Charles poured
Question 3.
If Charles redistributed the milk equally among the bowls, how much milk would he pour into each bowl?
Answer:
he has to distribute 2 pints in 8 bowls that is \(\frac{1}{4}\) in each bowl.
On Your Own
Question 4.
A scientist records the weights of her mineral specimens. Make a line plot to display the data.
Answer:
Use your line plot for 5-7.
Question 5.
What is the total weight of the mineral specimens?
Answer:
8 ounces is the total weight of the mineral specimens
Question 6.
What is the combined weight of the \(\frac{1}{2}\)-ounce and 1 \(\frac{1}{2}\)-ounce specimens?
Answer:
\(\frac{1}{2}\) + 1\(\frac{1}{2}\)
= \(\frac{4}{2}\)
= 2
Question 7.
How much more do the 1\(\frac{1}{2}\)-ounce specimens weigh than the \(\frac{1}{2}\)-ounce specimens?
Answer:
\(\frac{3}{2}\)–\(\frac{1}{2}\)
= 1 more ounce that specimens weigh than the \(\frac{1}{2}\)-ounce specimens
Use the line plot for 8-11.
Anita grows aquatic plants in jars. The jars hold different amounts of water. Anita records the amounts of water the jars hold in a line plot.
Question 8.
What is the total liquid volume of the water in the jars?
Answer:
1 + 3 + 6 + 1 + 1 = 12
Question 9.
How many more jars have 2 gallons of water than have 1\(\frac{1}{2}\) gallons?
Answer:
2 more jars have 2 gallons of water than have 1\(\frac{1}{2}\) gallons
Question 10.
How much water is in all the \(\frac{1}{4}\)-gallon jars?
Answer:
\(\frac{1}{2}\) is in all the \(\frac{1}{4}\)-gallon jars
Question 11.
If Anita transfers the water in the 1-gallon jars to \(\frac{3}{4}\)-gallon jars, how many \(\frac{3}{4}\)-gallon jars does she need?
Answer:
3 gallons of 1 gallons that is transferred to \(\frac{3}{4}\)-gallon jars,
so, 4 more gallons are there in \(\frac{3}{4}\)-gallon jars,
Question 12.
Reason Michaeia records the amount of water in 15 beakers. She determines that she must redistribute 3 fluid ounces to each beaker for all of them to have an equal amount. Then she realizes that the total amount of water is actually 5 fluid ounces more than she first calculated. What happens to the amount she equally redistributes? Explain.
Answer: