2.3 Measuring Length
Unit Goals
- Students measure and estimate lengths in standard units and solve measurement story problems within 100.
Section A Goals
- Measure length in centimeters and meters.
- Represent and solve one-step story problems within 100.
Section B Goals
- Measure length in feet and inches.
- Represent and solve one- and two-step story problems within 100.
Section C Goals
- Represent numerical data on a line plot.
Section A: Metric Measurement
Problem 1
Pre-unit
Practicing Standards: 1.MD.A.2
How many connecting cubes long is the rectangle?
Solution
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Problem 2
Pre-unit
Practicing Standards: 1.OA.A.1
Jada has 16 red counters. She has 7 fewer yellow counters than red counters. How many yellow counters does Jada have? Show your reasoning with words, pictures, or numbers.
Solution
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Problem 3
Pre-unit
Practicing Standards: 1.MD.A.1
- Which rectangle is the longest?
- Which rectangle is the shortest?
Solution
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Problem 4
Pre-unit
Practicing Standards: 1.NBT.C.4
Find the value of each expression.
- \(52 + 30\)
- \(38 + 9\)
- \(35 + 16\)
- \(85 - 7\)
Solution
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Problem 5
How many centimeters long is each rectangle?
Solution
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Problem 6
Here is a rectangle.
- How many centimeters wide is the rectangle?
- How many centimeters tall is the rectangle?
Solution
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Problem 7
How many centimeters long is each side of the triangle? Label each side.
Solution
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Problem 8
Here is a rectangle.
-
Estimate how many centimeters long the rectangle is.
____________ cm
-
Measure the rectangle and record the measurement.
____________cm
- How does your estimate compare to the actual length?
Solution
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Problem 9
- Is the python longer or shorter than the animals you measured?
- Is the python longer or shorter than the alligator and adult cobra together?
Solution
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Problem 10
Solution
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Problem 11
Exploration
Here are 2 rectangles.
- Which rectangle do you think is longest?
- Measure with a centimeter ruler to check your guess.
Solution
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Problem 12
Exploration
- Look for objects in the classroom that are about 1 centimeter long. Measure them and see how close they are to 1 centimeter.
- Look for objects in the classroom that are about 1 meter long. Measure them and see how close they are to 1 meter.
Solution
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Section B: Customary Measurement
Problem 1
- What do you know about inches?
- What is the length of the rectangle in inches?
Solution
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Problem 2
- An adult hippopotamus is 13 units long. Are the units inches or feet? Explain your reasoning.
- A piece of chalk is 2 units long. Are the units inches or feet? Explain your reasoning.
Solution
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Problem 3
- What is the length of this rectangle in centimeters?
- Write an equation to show your thinking.
Solution
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Problem 4
Solution
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Problem 5
- Diego has a piece of ribbon that is 95 centimeters long. He cuts off a piece that is 28 centimeters long. How much ribbon does Diego have left?
- Then Diego cuts off another piece that is 39 centimeters long. How much ribbon does Diego have left now?
Solution
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Problem 6
Exploration
Complete the table with objects in the classroom or at home that you think will match the given measurements.
Object I measured | Estimated Measurement | Actual Measurement |
---|---|---|
7 centimeters | ||
7 inches | ||
7 feet | ||
7 meters |
Solution
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Problem 7
Exploration
If all of your classmates stand side to side with your arms stretched out, about how long of a line do you think you can make? Explain your reasoning including the unit of measure you choose.
Solution
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Section C: Line Plots
Problem 1
The line plot shows the lengths of some pencils in centimeters.
- How long is the longest pencil? How long is the shortest?
- What is the most common pencil length?
Solution
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Problem 2
The table shows the lengths of different students' shoes in inches. Complete the line plot with the shoe length data.
Student | Shoe length in inches |
---|---|
Andre | 7 |
Clare | 7 |
Diego | 8 |
Elena | 8 |
Lin | 6 |
Mai | 7 |
Tyler | 9 |
Solution
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Problem 3
The line plot shows the lengths some students jumped in inches.
- What is the longest jump? What about the shortest?
- How much longer is the longest jump than the shortest jump?
- How many measurements are shown in the graph?
Solution
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Problem 4
Exploration
Create and label a line plot for foot lengths so that all of these statements are true:
- There are 7 total foot lengths.
- The most common foot length measured was 6 inches.
- The difference between the longest foot and the shortest foot was 4 inches.
Solution
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Problem 5
Exploration
Here are wingspans of some butterflies in Diego's collection.
Diego still has 2 more lengths to record. Which of these could change when Diego records these lengths? Explain your reasoning.
- The most common measurement
- The total number of measurements
- The longest measurement
- The shortest measurement
Solution
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