Rates and measurement Block 1 Student Activity Sheet

Transcription

1 Block 1 Student Activity Sheet 1. Complete the table below. Use the table, map, and graph to describe the field trip. Can you explain how the bus traveled in terms of distance, time, and speed? Speculate why the bus was faster or slower in parts. Section Time Distance M.P.H. 0 to 20 min. 20 to 40 min. 40 to 50 min. 50 to 55 min. 55 to 75 min. 75 to 90 min. Total (0 to 90 min.) Page 1 of 2

2 Block 1 Student Activity Sheet 2. Sharonda and Casey decide to plan a shuttle race that they will hold when they get back to school. It works like this: the starter begins timing when one teammate starts walking heel-toe from the start/finish line to the return line. At the return line, the teammate walks backward heel-toe back to the start/finish line where the next teammate begins walking heel-toe in the same manner. The third teammate takes up where the second left off and finishes the race. Use their data to graph their results, and/or conduct your own shuttle race and graph your results. Page 2 of 2

3 Block 2 Student Activity Sheet 1. Now that you have had a chance to experiment with Terrence skateboarding consider the following questions: a. What happens when you drag Terrence at a slow, steady rate away from the motion detector? b. How does the graph change when you drag him toward the motion detector? c. What does the graph look like when you drag him at a fairly slow, steady rate away from the motion detector? d. How does the graph change when you drag him at a faster, steady rate away from the motion detector? e. When Terrence doesn't move, what does the graph look like? Page 1 of 5

4 Block 2 Student Activity Sheet 2. Study the graph below. How will you move Terrence to make a graph that matches this one? Page 2 of 5

5 Block 2 Student Activity Sheet 3. Study the graph below. How will you move Terrence to make a graph that matches this one? Page 3 of 5

6 Block 2 Student Activity Sheet 4. If 7 large avocadoes cost $5.00. What is the price for 1 avocado? Round your answer to the nearest hundredth. 5. What is the skateboarder s rate for the last 4 seconds? Page 4 of 5

7 Block 2 Student Activity Sheet 6. Check your understanding by solving the puzzle below Page 5 of 5

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9 Block 3 Student Activity Sheet 1. The school flagpole is 28.5 feet tall. How many yards is that? a. Sketch a tape diagram to represent the situation. b. Write and label a proportion to represent the situation. Page 1 of 3

10 Block 3 Student Activity Sheet 2. REINFORCE If a building is 5.5 yards tall, how many feet is that? Page 2 of 3

11 Block 3 Student Activity Sheet 3. Here is a chart of common conversion factors. Use it to convert the following measurements. 20 quarts = gallons 1,500 grams = milligrams 3.5 pints = cups 4 miles = yards 10 miles = feet Page 3 of 3

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13 Block 4 Student Activity Sheet 1. Madison and Dylan are trying to determine how fast their toy car travels. After some data collecting and measuring, they have concluded that the car travels about 37 inches per second. Now they would like to convert this rate to miles per hour. Help them find the speed of the toy car in miles per hour. 37 inches 1 second = miles hour 2. A car is driving 60 miles per hour. You want to find the car's speed in feet per second. What two conversion rates do you multiply by to find the equivalent of 60 miles per hour in feet per second? 60 minutes 1 hour 5280 feet 1 mile 1 mile 5280 feet 60 seconds 1 minute 1 hour 3600 seconds 3600 seconds 1 hour 3. Write an expression to change 30 yards per minute into feet per second. 30 feet 1 second i 1 minute 60 seconds 3 feet 1 yard Page 1 of 2

14 Block 4 Student Activity Sheet REINFORCE Convert the following rate units: 4. Convert 60 miles per hour to yards per minute. 5. Convert 3000 feet per second to yards per minute. 6. Convert 45 miles per hour to feet per hour. 7. Convert 15,000 miles per hour to miles per second. 8. Convert 600 feet per second to miles per hour. 9. Convert 15 miles per hour to feet per second. Page 2 of 2

15 Block 6 Student Activity Sheet 1. You are a highway patrol officer, seated on a motorcycle, on a curvy section of Highway 1, high on the cliffs above the Pacific Ocean. The posted speed limit on the road is 55 miles per hour. You are monitoring traffic with a radar gun. You know the first exit off the road is 3.4 miles up ahead. A car speeds past you and your radar gun indicates it is traveling 68 miles per hour. You try to start your motorcycle, but it won t start. Finally, 30 seconds later, your cycle starts. You need to travel fast to catch the car before the exit 3.4 miles ahead, where the car could get off the highway. At what average speed do you need to go, to catch the speeding car before it reaches the exit? Is it safe for you? Explain. Page 1 of 3

16 Block 6 Student Activity Sheet 2. REINFORCE In 1963, Bob Hayes ran the 100-yard dash in 9.1 seconds. In 2008, Usain Bolt ran the 100-meter dash in 9.69 seconds. (1 yard = meters and 1 meter = yards). Which man is faster for the 100-meter race? By how many seconds will the faster man win? Explain. Page 2 of 3

17 Block 6 Student Activity Sheet 3. REINFORCE A cheetah can run 70 miles per hour. A lion can run 50 miles per hour. Suppose the lion challenged the cheetah to a 100-yard dash. Explain who will win, and by how many yards. Show any calculation used to determine your answer and explain your process. Page 3 of 3

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