IM 7.2.12 Lesson: Using Graphs to Compare Relationships

Find the product mentally.
[math]\frac{2}{3}\cdot\frac{1}{2}[/math]
[math]\frac{4}{3}\cdot\frac{1}{4}[/math]
[math]4\div\frac{1}{5}[/math]
[math]\frac{9}{6}\div\frac{1}{2}[/math]
Diego, Lin, and Mai went from the ticket booth to the bumper cars. Use each description to complete the table representing that person’s journey.
Diego left the ticket booth at the same time as Tyler. Diego jogged ahead at a steady pace and reached the bumper cars in 30 seconds.
Lin left the ticket booth at the same time as Tyler. She ran at a steady pace and arrived at the bumper cars in 20 seconds.
Mai left the booth 10 seconds later than Tyler. Her steady jog enabled her to catch up with Tyler just as he arrived at the bumper cars.
Draw a graph of all four people’s journeys (including Tyler's from the other day).
[list][*]Drag the names to the correct lines to label them.[/*][*]If you choose to, you can use the Paint Brush tool to change the color of each line. Select the tool, click on a color in the palette below the graph, and then click on a line. Click on the Move tool (the arrow) before changing to a new paint brush color.[/*][*]You can hide any points you create with the checkbox below the graph.[/*][/list][br]Which person is moving the most quickly? How is that reflected in the graph?
Write equations to represent each person’s relationship between time and distance.
Meteoroid Perseid 245 and Asteroid x travel through the solar system. Explore the applet to learn about the distance they had each traveled after a given time.
Is Asteroid x traveling faster or slower than Perseid 245? Explain how you know.
The graph shows the price of different lengths of two types of rope.
[img]data:image/png;base64,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[/img][br][br]If you buy $1.00 of each kind of rope, which one will be longer? Explain how you know.
Close

Information: IM 7.2.12 Lesson: Using Graphs to Compare Relationships