Lesson 5

Arm Span vs. Height

Est. Class Sessions: 4–5
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Standards for Mathematical Practice

MP1.
Make sense of problems and persevere in solving them.
MP2.
Reason quantitatively.
MP4.
Model with mathematics.
MP5.
Use appropriate tools strategically.
MP7.
Look for and make use of structure.

Students collect data to model the relationship between the arm span and height of their classmates. They then use these models to make predictions and generalizations.

Content in this Lesson

  • Making a bar graph using categorical data [E3].
  • Representing the variables and the procedures of an investigation in a drawing.
  • Measuring length in inches.
  • Finding the median of a data set represented in a point graph [E6].
  • Making a point graph using ordered pairs [E5].
  • Reading a table or graph to find information about a data set [E7].
  • Translating between bar and point graphs and real-world situations [E8].
  • Making predictions and generalizations about a data set using a median [E9].
  • Making predictions and generalizations about a data set using a data table and graph [E10].
  • Identifying the important information and the question in a problem [MPE1].
  • Showing a problem's solution [MPE5].
  • Demonstrating fluency with addition facts [E11].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

Student Guide
Student Activity Book

Teacher Resources

Teacher Guide - digital

Supplies for Student Groups

4 yardsticks or metersticks (with inches on one side) at each station (at least 3 stations are recommended)
rulers
calculators
red pen or marker
blank sheet of paper

Materials for the Teacher

Display of Jerome's Family: Hand Lengths and Heights Master (Teacher Guide)
1 prepared class data table (see Materials Preparation), Four-Column Data Table (Teacher Guide)
Display of Point Graph: What's Wrong Here? Master (Teacher Guide)
1 sheet of poster-size graph paper for class graph or display of Centimeter Graph Paper Master (Teacher Guide)
masking tape
Display of Math Practices (Student Guide) Reference
Unit 1 Assessment Record
Math Facts Class Record

Materials Preparation

Set Up Measurement Stations. Set up at least three Arm Span vs. Height stations for your students to collect data. Since students will measure in inches, you may use either yardsticks or metersticks that have inches on one side. At each station, tape two metersticks vertically on a wall for measuring height. Tape two metersticks horizontally for measuring arm span. Make the height of the horizontal metersticks appropriate to the heights of your students' shoulders. One way to tape the metersticks is shown in Figure 1. In this case, students must add the reading on one meterstick to the length (to the nearest inch) on the other meterstick. The reading on one meterstick will be 39 inches, which must be added to the reading on the second meterstick. If yardsticks are used, they may be lined up edge-to-edge. Students must add the reading on the second yardstick to 36 inches. As an alternative to using metersticks or yardsticks, attach a tape measure to the wall. If the tape measure is long enough, students will avoid addition errors when measuring their arm span or height. It is important that the tape measure be attached to the wall to avoid sagging and variability in how students stand.

Figure 1: Setting up measurement station with metersticks

Prepare Data Collection Table. Create a four-column data table on poster-size paper or prepare a display of the Four-Column Data Table in the Teacher Guide. Label the columns with the following headings: Name, Arm Span (S), Height (H), and Ordered Pairs as seen in the Collect section of the Student Guide pages. Post this in a convenient location where students can easily record their data. Number of displays depends on the number of students in your class.

Rulers. Copy and cut out rulers using the Centimeter and Inch Ruler Master if needed for DPP item R.

TIMS Tip

To keep students organized during the lesson, help them create a lab packet at the start of the lesson. The lab packet can include a blank sheet of paper for the picture, a copy of the Centimeter Graph Paper Master and the Four-Column Data Table Master, and several sheets of lined paper for student responses to the questions in the Student Guide.

Assessment in this Lesson

Assessment Expectation Assessed Math Practice Assessed
Arm Span vs. Height
Student Guide Pages 34–41
with corresponding
Feedback Box
Teacher Guide - digital
E5.
Make a point graph using ordered pairs.
E7.
Read a table or graph to find information about a data set.
E8.
Model real-world situations with bar and point graphs.
E9.
Make predictions and generalizations about a data set using a median.
E10.
Make predictions and generalizations about a data set using a data table and graph.
Arm Span vs. Height Peer Review of Question 6
Student Guide
Page 40
MPE1.
Know the problem. I read the problem carefully. I know the questions to answer and what information is important.
MPE5.
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.
More Arm Span vs. Height Data with Feedback Box
Teacher Guide - digital
E6.
Find the median of a data set represented in a table, graph, or line plot.
E7.
Read a table or graph to find information about a data set.
E8.
Model real-world situations with bar and point graphs.
E9.
Make predictions and generalizations about a data set using a median.
E10.
Make predictions and generalizations about a data set using a data table and graph.
DPP Item O
Addition Test: Doubles, 2s, 3s

Teacher Guide - digital
E11.
Demonstrate fluency with the addition facts.
DPP Item Q
Addition Test: More Addition Facts

Teacher Guide - digital
E11.
Demonstrate fluency with the addition facts.
DPP Item T
Favorite Sandwiches

Teacher Guide - digital
E3.
Make a bar graph using categorical data.