Calculating Speed A)  John is walking down the hall.  He travels 24 meters in 12 seconds.  What is his average speed? ANSWER: 2 m/s.

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Presentation transcript:

Calculating Speed A)  John is walking down the hall.  He travels 24 meters in 12 seconds.  What is his average speed? ANSWER: 2 m/s

Calculating Speed A runner completes a 5K (5,000 m) race in 25 minutes.  What is her average speed in meters per minute? ANSWER: 200 m/min

Calculating Speed A car leaves for its destination at 3:45 and arrives at 5:45.  It traveled 240 miles.  What is the car's average speed? Distance: 120 miles Time: 2 hours ANSWER: 60 mph

Solve These Speed Problems Time (s) Distance (m) 1 20 2 40 3 60 4 80 5 100 What does this look like (Hint: think Math)?

Solve These Speed Problems X and Y points that can be graphed on a coordinate plane Using your graph paper, graph these points. What shape does it form when you connect the points? Time (s) Distance (m) 1 20 2 40 3 60 4 80 5 100

Distance – Time Graphs A straight line means the object is traveling at a constant speed. The steeper the line, the faster the object is moving.

Which story matches the graph? A. Tom took his dog for a walk to the park. He set off slowly and then increased his pace. At the park Tom turned around and walked slowly back home. T I M e B. Tom rode his bike east from his home up a steep hill. After a while the slope eased off. At the top he raced down the other side. C. Tom went for a jog. At the end of his road he bumped into a friend and his pace slowed. When Tom left his friend he walked quickly back home. Distance

C is the correct answer! Time Distance The steep line at the beginning shows that he is walking fast. Time When he sees his friend, he slows down. Then he turns around and goes home (his distance from his starting point decreases). Distance

Used from website: http://www.golfranger.co.uk/speed.html

Making Up Data for a Graph: Estimate the coordinates (x axis = time y axis = distance) 2 4 6 8 10

Matching Cards Take turns at matching pairs of cards. You may want to take a graph and find a story that matches it or you may want to take a story and find a graph that matches it. Each time you do this, explain your thinking clearly and carefully. If you think there is no suitable card that matches, write one of your own. Place your cards side by side on your large sheet of paper, not on top of one another, so that everyone can see them. Be able to explain WHY you matched up the graph with the stories (interpretations). Make sure you leave plenty of space around the cards as, eventually, you will be adding another card to each matched pair.

Sharing Work One student from each group is to visit another group’s poster. If you are staying at your desk, be ready to explain the reasons for your group's matches. If you are visiting another group: Write your card placements on a piece of paper. Go to another group’s desk and check to see which matches are different from your own. If there are differences, ask for an explanation. If you still don’t agree, explain your own thinking. When you return to your own desk, you need to consider as a group whether to make any changes to your own poster.