# Math Investigations

#### 1 Materials

Paper and pencils

Common objects: desk, chair, notebooks, textbooks

Rulers

Graph paper (optional)

Colored pencils (optional)

Math Investigations II video and VCR

#### 2 Procedures

Tell students that they will learn measuring and graphing skills.

Divide the class into small groups. Tell students that each group will measure the length and width of the objects listed below; they will draw one bar graph showing their lengths and a second bar graph showing the widths.

Objects to Measure

desk

book

notebook

chalkboard

tissue box

Give students time in class to work on the activity. Remind them to measure accurately and record the width and length of each object. This will help them organize the data and have it available when it is time to create the graphs.

You may want to show students "Length," Segment 5 of the video, which explains how to measure an object and how to read a ruler.

#### 3 Graphs

Next, show how to draw a bar graph. You may distribute graph paper, or have students draw the graphs on unlined paper. For the first graph, label the horizontal axis "Object" and the vertical axis "Length." For the second graph label the horizontal axis "Object" and the vertical axis "Width." Students may use a different color for each object.

If students have questions about how to draw a graph, show "Weather," Segment 2, which explains how to make bar graphs and why they are useful.

#### 4 Discussion

After each group has measured the objects and drawn the graphs, bring the students together for a discussion. Did the groups get similar results? What kinds of variations were in the results? What caused the differences?

Conclude by discussing why bar graphs are used to display data. Do students think it is easier to compare data looking at a graph or looking at a chart? Help students understand that a bar graph is a quick way to show results and compare data.

#### 5 Evaluation

Use the following three-point rubric to evaluate students' work during this lesson.

Three points: Students were engaged by the activity and worked effectively in their groups to measure different objects, drew accurate and complete graphs, and participated actively in class discussions.

Two points: Students were somewhat engaged by the activity and worked in their groups to measure different objects, drew partially accurate and mostly complete graphs, and participated in class discussions.

One point: Students were not engaged by the activity and had difficulty working in their groups to measure different objects, did not complete their graphs, and participated minimally in class discussions.