Page 7 Take 1 minute to discuss with your table group.

What things did you wonder or notice about the first graph? What things did you wonder or notice about the second graph? What similarities or differences do you see when comparing both graphs? What similarities or differences do you see when comparing both graphs?

QUESTIONS (Part 1): 1. How do the slopes of line g and line f compare? 2. What does the point (0,0) represent in this graph? . 3. Which line shows the relationship (between x and y) of traveling faster? How do you know?

QUESTIONS (Part 2): 1. A red line will be drawn on the screen. What does this line show us about time? . . 2. Two green points will be drawn on line g and line f in relation to the red line. What does each green point tell us in this graph?

QUESTIONS (Part 3): . 1. A red line will be drawn on the screen. What does this line show us about distance traveled? . 2. Two green points will be drawn on line g and line f in relation to the red line. What does each green point tell us in this graph?

Page 8  Please lightly draw in the position lines shown.

Page 8

Ant: At 0 seconds, the ant has moved _____ centimeters. Page 8 Ladybug: At 0 seconds, the ladybug has moved _____ centimeters. Ant: At 0 seconds, the ant has moved _____ centimeters.

Ant: At 2 seconds, the ant has moved _____ centimeters. Page 8 Ladybug: At 2 seconds, the ladybug has moved _____ centimeters. Ant: At 2 seconds, the ant has moved _____ centimeters.

Ant: At 4 seconds, the ant has moved _____ centimeters. Page 8 Ladybug: At 4 seconds, the ladybug has moved _____ centimeters. Ant: At 4 seconds, the ant has moved _____ centimeters.

Distance Traveled (in cm) Distance Traveled (in cm) Time Elapsed (in seconds) Distance Traveled (in cm) Time Elapsed (in seconds) 0 0 0 0 0 0 ( , ) 0 0 ( , ) 4 2 6 2 4 2 ( , ) ( , ) 6 2 ( , ) ( , ) 8 4 8 4 12 4 ( , ) 12 4 ( , ) 12 6 12 6 18 6 ( , ) 18 6 ( , )

Distance Traveled (in cm) Distance Traveled (in cm) Time Elapsed (in seconds) ( , ) 0 0 0 0 4 2 4 2 8 4 8 4 12 6 12 6 6 5 4 3 2 1 Distance Traveled (in cm) Time Elapsed (in seconds) ( , ) 0 0 0 0 6 2 6 2 12 4 12 4 18 6 18 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

QUESTIONS: 1. Lines u and v also show the positions of the two bugs. Which line shows the ladybug’s movement? Which line shows the ant’s movements? Explain your reasoning. Are you ready for more? How fast is each bug traveling? How does the speed of the bug relate to the slope of the line? Will there ever be a time when the ant is twice as far away from the start as the ladybug? Explain. Imagine another bug is traveling at a speed that is double that of the ladybug. Make a new chart for that bug. Plot the ordered pairs for each point you created, then connect the points and label the line w. Page 8

Page 9 Which graph goes with which rider? Who rides faster? 48 44 40 36 32 28 24 20 16 12 8 4 Without labels we can’t even tell which line is Kiran and which is Mai! Without labels and scale on the x-axis and y-axis, we can’t use graphs like these to answer questions like: Which graph goes with which rider? Who rides faster? If Kiran and Mai start a bike trip at the same time, how far are they after 24 minutes? How long will it take each of them to reach the end of the 12 mile bike path? 1 2 3 4 5 6 7 8 9 10 11 12 13 14

With labels being added to graph. Page 10

Page 12 How could an x/y table be useful in this problem? 0.2 1 0.4 2 0.6 3 0.8 4 1.0 5

Page 12 Priya’s rate of jogging

2. A you-pick blueberry farm offers 5 lbs of blueberries for $12. 00 2. A you-pick blueberry farm offers 5 lbs of blueberries for $12.00. You may purchase any quantity you choose at this rate. Page 13 NOTE: This question has been modified. Please cross off the original quantity and price and replace with the ones shown in blue and red. Find five ordered pairs (x,y) that represent solutions to this problem, then graph the relationship. 5 12 (5,12)