Unit 6 Measuring Length Time Liquid Volume And Weight — Unit Plan

TitleAssessment
Lesson 1
Measure in Halves of an Inch
Length in Half Inches
What is the length of the rectangle?
A ruler measuring a rectangle in inches.
Show Solution
72\frac{7}{2} inches or 3123\frac{1}{2} inches
Lesson 2
Measure in Fourths of an Inch
Which Ruler?
  1. Andre says it would be best to use the ruler marked in quarter inches to measure this pencil. Do you agree? Explain your reasoning.
    Pencil and 2 rulers.
  2. What is the length of the pencil to the nearest fourth of an inch?
Show Solution
  1. Sample response: Yes. The ruler marked in quarter inches is best because the tip of the pencil falls in between the half-inch marks.
  2. 5345 \frac{3}{4} inches or 234\frac {23}{4} inches
Lesson 3
Measure in Halves and Fourths of an Inch
How Long?

What is the length of the worm in inches?

inch ruler

Show Solution
3343\frac{3}{4} or 154\frac{15}{4} inches
Lesson 4
Interpret Measurement Data on Line Plots
Interpret and Choose

Select all the statements that are true about the measurements in the line plot.

<span>Line plot from 0 to 12 by ones. Hash marks by halves. Horizontal axis, length of leaves in inches.</span>
Line plot from 0 to 12 by ones. Hash marks by halves. Horizontal axis, length of leaves in inches. Beginning at 4 and a half, the number of X’s above each number is 3, 1, 0, 0, 5, 0, 0, 4, 0, 0, 2, 3, 0, 0, 2.

  1. Five leaves had a length of 6126\frac{1}{2} inches.
  2. Six leaves had a length of 9129\frac{1}{2} inches.
  3. There were a total of 12 leaves measured.
  4. There were 20 leaves measured.
  5. The shortest leaf was 5 inches long.
  6. The shortest leaf was 4124\frac{1}{2} inches long.
Show Solution
A, D, F
Lesson 5
Represent Measurement Data on Line Plots
Complete the Line Plot

The list shows lengths of leaves in inches. Use the measurements to complete the line plot.

  • 2342\frac{3}{4}
  • 3
  • 2
  • 3143\frac{1}{4}
  • 4124\frac{1}{2}
  • 3143\frac{1}{4}
  • 2342\frac{3}{4}
  • 2122\frac{1}{2}

<p>Line plot. Length of leaves in inches. Scale 0 to 5, evenly spaced tick marks. First tick mark, 0. Last tick mark, 5.</p>

Show Solution

Line plot.

Section A Check
Section A Checkpoint
Problem 1

How long is the pencil?

A pencil measured by a ruler, in inches.

Show Solution
5145\frac{1}{4} or 214\frac{21}{4} inches
Problem 2

Here are some pencil lengths in inches. Use the measurements to complete the line plot.

  • 3243\frac{2}{4}
  • 2122\frac{1}{2}
  • 2342\frac{3}{4}
  • 4144\frac{1}{4}
  • 3123\frac{1}{2}

  • 3143\frac{1}{4}
  • 2
  • 3143\frac{1}{4}
  • 2122\frac{1}{2}
  • 4124\frac{1}{2}

Line plot<span>. 0 to 5 by ones. Horizontal axis, length in inches. Hash marks by fourths.</span>

Show Solution
Line plot.
Note: Students may not include a title on the line plot.
Lesson 6
Estimate and Measure Weight
About a Kilogram

Select all the objects that could have a weight of about 1 kilogram.

  1. a bicycle
  2. a book
  3. a marble
  4. a pencil
  5. a bunch of bananas
Show Solution
B and E
Lesson 7
Introduction to Liquid Volume
Volume of a Container Reflection

What did you learn about the volume of a container and how to measure it?

Show Solution
Sample response: The volume of a container is how much liquid is needed to fill it. You can use a unit and count how many times you have to use it to fill up a container. It can be hard to compare the volume of liquid if we don’t use the same unit. Liters are units of volume.
Lesson 8
Estimate and Measure Liquid Volume
Measure in Liters

What is the volume of the liquid shown in each image?

1
A container measuring water in liters.


____________________

2
A container measuring water in liters.


____________________

Show Solution
  1. 3 liters
  2. 1121\frac{1}{2} liters (or equivalent)
Section B Check
Section B Checkpoint
Problem 1

Which fruit weighs about 1 kilogram?

A.1 blueberry
B.1 pineapple
C.1 grape
D.1 raspberry

Show Solution
1 pineapple
Problem 2

Select 2 items that weigh about 1 gram.

A. a piece of gum
B. a notebook
C. a door key
D. a pen cap
E. a toothbrush

Show Solution
A, D
Problem 3

Select all the containers that show 3123\frac{1}{2} liters of water.

A.
A container measuring water in liters.
B.
A container measuring water in liters.
C.
A container measuring water in liters.
D.
A container measuring water in liters.
E.
A container measuring liquid in liters, partially filled.
Show Solution
A, C
Lesson 9
Time to the Nearest Minute
Times Like These

1
Analog clock.


What time is shown? _______________

2
Analog clock.


Show 10:13 a.m. on the clock.

Show Solution
  1. 6:22
Analog clock.
Lesson 10
Solve Problems Involving Time (Part 1)
Soccer Time

Clare leaves school at 3:25 p.m. Her soccer practice begins at 4:15 p.m. How much time does she have between school and practice? Explain or show your reasoning.

Show Solution

50 minutes. Sample response: 3:25 to 3:30 is 5 minutes. Then it’s 45 minutes to 4:15.

Lesson 11
Solve Problems Involving Time (Part 2)
Time and Time Again

Solve each problem. Explain or show your reasoning.

  1. Jada had a dance class on Saturday. It started at 10:30 a.m. and ended at 11:48 a.m. How long was her dance class?
  2. Another day, Jada finished her dance class at 11:55 a.m. The class was 40 minutes long. What time did her class start?
Show Solution
  1. 78 minutes or 1 hour and 18 minutes. Sample response: I started at 10:30 and jumped 30 minutes to 11:00, 30 more minutes to 11:30, 15 minutes to 11:45, and then 3 minutes to 11:48. I jumped a total of 78 minutes.
  2. 11:15 a.m. Sample response: 5540=1555 - 40 = 15
Section C Check
Section C Checkpoint
Problem 1

Show 11:49 a.m. on the clock.

Show Solution

analog clock

Problem 2

Tyler had to wait in line for a roller coaster. He entered the line at 9:35 a.m. and got on the roller coaster at 10:19 a.m. How long did Tyler wait? Explain or show your reasoning.

Show Solution

44 minutes. Sample response: I counted up 25 minutes from 9:35 to get to 10:00, then counted 19 more minutes to get to 10:19. 25+19=4425 + 19 = 44.

Lesson 12
Ways to Represent Measurement Situations
Which Diagram Matches?

Which diagram matches this situation? Explain your reasoning.

A pumpkin farmer used 52 liters to water 13 seedlings equally. How much water was used on each seedling?

A
Diagram. Rectangle divided into 13 parts, each labeled with a question mark. Total, 52.

B
<p>Diagram. Rectangle partitioned into 2 parts. Total length, 52. First part labeled 13. Second part has dashed outline, not labeled.</p>

Show Solution
A. Sample response: The diagram has 13 parts and each part represents a seedling, but we don’t know how much water each seedling got.
Lesson 13
Problems with Missing Information
Winner, Winner

The winning pig weighed 48 kilograms when his owner decided to show him at the fair. At the fair weigh-off, the pig weighed 124 kilograms. How much weight did the pig gain? Explain or show your reasoning.

Show Solution

76 kg. Sample response:

48+2=5048 + 2 = 50
50+50=10050 + 50 = 100
100+24=124100+24=124
2+50+24=762+50+24=76

Lesson 14
What Makes Sense in the Problem?
A Show at the Carnival
  1. A show at the carnival starts at 2:45 p.m. and lasts 47 minutes. What time does the show end? Explain or show your reasoning.
  2. Another show that is 24 minutes long ends at 5:10 p.m. Kiran says that the show starts before 4:40 p.m. Do you agree? Explain or show your reasoning.
Show Solution
  1. 3:32 p.m. Sample responses:
    • From 2:45, it is 15 minutes from 2:45 to 3:00 and another 30 minutes to 3:30. That's 45 minutes, so 47 minutes from 2:45 would be 3:32.
    • I know that 60 minutes from 2:45 is 3:45, and 47 minutes is 13 minutes before 3:45, which is 3:32 p.m.
  2. No. Sample response:
    • I know that 4:40 is 30 minutes from 5:10 p.m. If the show is shorter than 30 minutes, it must have started after 4:40.
    • I know that 20 minutes before 5:10 is 4:50, so 24 minutes before 5:10 is 4:46, which is after 4:40.
Lesson 15
Ways to Solve Problems and Show Solutions
Problem Solving Reflection

Choose a prompt to respond to. Write a few sentences to reflect on problem solving.

  • The most important part of problem solving is to remember . . .
  • The most important thing to remember when solving problems like we did in this unit is . . .
  • The math in this unit reminded me of _____ from outside of school because . . .

Show Solution
Answers vary.
Lesson 16
Design a Game
No cool-down
Section D Check
Section D Checkpoint
Problem 1

Select the situation that the diagram represents.

A.There are 2 bottles of water. Each bottle has 7 liters of water. How many liters of water are there altogether?
B.Han put 14 liters of water in 7 bottles. He put the same amount in each bottle. How many liters of water did Han put in each bottle?
C.Clare has 7 bottles of water and Jada has 2 bottles. How many bottles of water do they have altogether?
D.

There are 7 bottles of water. Each bottle has 2 liters of water. How many liters of water are there altogether?

Show Solution

There are 7 bottles of water. Each bottle has 2 liters of water. How many liters of water are there altogether?

Problem 2

A farmer picked 96 kilograms of apples one day. He put the apples in 6 boxes, and the filled boxes all had the same weight.

How many kilograms of apples are in each box? Explain or show your reasoning.

Show Solution
16 kilograms
Sample response: I know 6×10=606 \times 10 = 60 and 6×6=366 \times 6 = 36 so 6×16=60+366 \times 16 = 60 + 36. Since 6 groups of 16 kg is 96 kg, there were 16 kilograms in each box.