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Illustrative Math
Grade 8
Let’s study some graphs.
Illustrative Math Unit 8.3, Lesson 1 (printable worksheets)
The following diagram shows how to graph a proportional relationship from a story.
What do you notice? What do you wonder?
A ladybug and ant move at constant speeds. The diagrams with tick marks show their positions at different times. Each tick mark represents 1 centimeter.
The ladybug is traveling at 2 cm/s.
The ant is traveling at 3 cm/s.
At anytime t, the ladybug would be 2t cm from the start and the ant would be 3t from the start.
It is not possible to find a time t such that
2 · 2t = 3t
Refer to the tick-mark diagrams and graph in the earlier activity when needed.
The Open Up Resources math curriculum is free to download from the Open Up Resources website and is also available from Illustrative Mathematics.
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