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.
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Section A: Metric Measurement

Problem 1

Pre-unit

Practicing Standards:  1.MD.A.2

How many connecting cubes long is the rectangle?

Connecting cube tower and a rectangle with equal length. connecting cube tower has 10 yellow cubes and 4 blue cubes.

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

ARectangle.

BRectangle.

CRectangle.

  1. Which rectangle is the longest?

  2. 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.

  1. \(52 + 30\)
  2. \(38 + 9\)
  3. \(35 + 16\)
  4. \(85 - 7\)

Solution

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Problem 5

How many centimeters long is each rectangle?

  1. Rectangle

  2. rectangle.

Solution

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Problem 6

Here is a rectangle.

Rectangle.
  1. How many centimeters wide is the rectangle?
  2. 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.

Triangle.

Solution

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Problem 8

Here is a rectangle.

Rectangle.

  1. Estimate how many centimeters long the rectangle is.

    ____________ cm

  2. Measure the rectangle and record the measurement.

    ____________cm

  3. How does your estimate compare to the actual length?

Solution

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Problem 9

A python is a snake that grows up to 9 meters in length.
  1. Is the python longer or shorter than the animals you measured?
  2. Is the python longer or shorter than the alligator and adult cobra together?

Solution

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Problem 10

Andre's snake is 85 centimeters long. His lizard is 28 centimeters long. How many centimeters longer is Andre's snake than his lizard? Show your thinking.

Solution

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Problem 11

Exploration

Here are 2 rectangles.

Two rectangles.
  1. Which rectangle do you think is longest?
  2. Measure with a centimeter ruler to check your guess.

Solution

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Problem 12

Exploration

  1. Look for objects in the classroom that are about 1 centimeter long. Measure them and see how close they are to 1 centimeter.
  2. 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

  1. What do you know about inches?
  2. What is the length of the rectangle in inches? 
Rectangle.

Solution

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Problem 2

  1. An adult hippopotamus is 13 units long. Are the units inches or feet? Explain your reasoning.
  2. A piece of chalk is 2 units long. Are the units inches or feet? Explain your reasoning.

Solution

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Problem 3

  1. What is the length of this rectangle in centimeters?
    Rectangle above a ruler. Rectangle begins above Ruler at 17 and ends at 32.

  2. Write an equation to show your thinking.

Solution

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Problem 4

Mai is making a headband from a piece of fabric. The fabric is 71 centimeters long. Mai cuts off 18 centimeters of the fabric. How many centimeters long is the fabric that is left?

Solution

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Problem 5

  1. 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?
  2. 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.

 Line plot from 0 to 14 by ones. Horizontal axis labeled pencil length, in centimeters. Beginning at 5, the number of x’s above each increment is 2, 3, 4, 3, 2, 0, 1.

  1. How long is the longest pencil? How long is the shortest?
  2. 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

Line plot from 0 to 14 by ones. Horizontal axis, Shoe lengths, in inches.  

Solution

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Problem 3

The line plot shows the lengths some students jumped in inches.

Line plot from 25 to 45 by ones. Horizontal axis, jump length, in inches. Beginning at 28, the number of x’s above each increment is 1, 0, 2, 0, 4, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1.

  1. What is the longest jump? What about the shortest?
  2. How much longer is the longest jump than the shortest jump?
  3. 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:

  1. There are 7 total foot lengths.
  2. The most common foot length measured was 6 inches.
  3. 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.

Line plot from 5 to 15 by ones. Horizontal axis labeled wingspan, in centimeters. Beginning at 6, the number of x’s above each increment is 2, 1, 1, 0, 2, 1, 5, 2, 0, 1.

Diego still has 2 more lengths to record. Which of these could change when Diego records these lengths? Explain your reasoning.

  1. The most common measurement
  2. The total number of measurements
  3. The longest measurement
  4. The shortest measurement

Solution

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