The Attributes of Data and Units of Measure - Step-by-Step Lesson

Transcription

1 The Attributes of Data and Units of Measure - Step-by-Step Lesson Lesson 1 Investigation Problem: Mary is traveling from her home towards her sister s home on a fast rocket. Her sister is traveling from her home toward Mary s home on a bullet train. The distance between Mary and her sister s home is 180 miles. A chart could be used to include all the data necessary for writing an equation. min Mary 60miles 5 min Mary s sister 70miles 7 min a. Complete the miles per min column of the chart. b. Who will reach the other person s home first? c. Mary and her sister have to go to the florist s shop. They drive Mary s car at 60 miles per hour. The shop is 200 miles away from their house. How long will it take to reach the shop? Explanation: a) min Mary 60miles 5 min 12 Mary s sister 70miles 7 min 10 Miles per min = Distance / Time Mary = 60 / 5 = 12 miles per min Sister = 70 / 7 = 10 miles per min

2 b) Mary goes 60/5 = 12 miles per minutes and her sister goes 70/7 = 10 miles per minutes. So they cover 180 miles in: Mary = = 15 min Mary s Sister = = 18 min So her sister makes it to Mary s home first. c) 200 miles 60 mph = time in hours 3.33 hours

3 The Attributes of Data and Units of Measure - Guided Lesson Complete the following problems: 1) There is a team who has a monthly budget of $275.The table shows prices of items, they have to buy for daily use. Date Number of Items 25 July 30 $45 Total Price of Item Purchased 26 July 50 $ July 60 $108 Average price of one item a. Complete the price of one item column of the chart. b. Find if the expenses exceed the budget and by how much? c. On which day did they buy the most expensive items? 2) Three students on bicycles leave their school building to go home. They have to cover 80 miles. A chart would be used to include all the data necessary for writing an equation. Student Miles driven Time in Minutes One 15 miles 4 min Two 17 miles 6 min Three 16 miles 7 min Miles per minute a. Complete the miles per minute column of the chart. b. Who will get home first? c. The same three students have to go to a chocolate shop which is 100 miles away from their house. How long will it take the fastest person to get there, if they kept their current pace?

4 3) Jordon can burn 200 calories in 20 minutes by walking at a speed of 2 miles per min. Mike can burn 180 calories in 25 minutes by walking at a speed of 4 miles per min. Student calories Time in Minutes Jordon min Mike min calories per minute a. Who burns calories faster? b. If Jordon walks 20 minutes, at the same pace, how many calories will he burn?

5 The Attributes of Data and Units of Measure - Guided Lesson Explanation Explanation#1 a) Divide the total price by the number of items. Date Number of Item Total Price of Item Purchased Price per item 25 July July July Price of per item = Total Price of Item Purchased / Number of Item 25 July = 45 / 30 = 1.5 price of per item 26 July = 130 / 50 = 2.6 price of per item 27 July = 108 / 60 = 1.8 price of per item b. Total price of item purchased is = $283 We have a total budget of $275 So, the expenses were exceeded by = $8 So the answer is: $8. C. We are looking for the day with the highest price per item. 26 July = 130 / 50 = 2.6 price of per item So on 26 July he bought expensive items.

6 Explanation#2 Student Miles driven Time in Minutes One 15 miles 4 min Two 17 miles 6 min Three 16 miles 7 min Miles per minutes Miles per minutes = Miles Driven / Time in minutes One = 15 / 4 = 3.75 Miles per minutes Two = 17 / 6 = 2.83 Miles per minutes Three = 16 / 7 = 2.28 Miles per minutes b) The student moving the fastest will get home first. It will be student one. c) The fastest person is moving at 3.75 mile per minute. So, they will cover 100 miles in Student one = = minutes Explanation#3 a) Calories burned per minutes = Jordon = = 10 Calories burned per minute Mike = = 7.2 Calories burned per minute Jordon burns calories faster. b) We know that Jordon burns 10 calories per minute at that pace. If he walks 20 minutes the number of calories he burns would be: 20 x 10 = 200 calories

7 The Attributes of Data and Units of Measure - Independent Practice Worksheet Complete all the problems. 1. Anderson lights two candles that are 16 inches long at the same time. Candle Time Length Melted One 30 min 5 inches Amount Melted per minutes Two 40 min 3 inches a. Complete the length melted per minute column of the chart. b. Which candle will burn out first? 2. Three flights are flying out at 12.00am. The speeds of the flights are indicated below. Flight Kilometer Time Kilometer per min One 420 km 45 min Two 510 km 55 min Three 460 km 50 min a. Complete the Kilometer per hour column of the chart. b. How long will they take to cover 600 km? 3. If Lopez s boat goes 85 miles to an island and he then continues on to here, his distance from the island is at fixed times. Miles Time 35 1 hours 66 2 hours a. How much total distance will he cover? b. After he passed the island, did he drive faster during the first or second hour?

8 4. Garcia, Allen, Nelson, and Mitchell left the airport and traveled toward the mountains. minutes Garcia 40 miles 184 min Allen 55 miles 214 min Nelson 35 miles 246 min Mitchell 45 miles 216 min a. Who got there in the fastest time? b. One of the friends covers a mile in 7.03 minutes, who is it? 5. An ultra sonic bullet train left Miami and traveled towards New York. Distance Time Miles per minute 60 miles 20 min 80 miles 28 min a. Calculate the miles per minute. b. How much distance would the train cover in 30 minutes, if the train is running at a speed of 12 miles/min? 6. Wendy is going for a walk. Tinny is also going for a walk with Jinx. Jinx falls behind, yet Tinny continues. The chart below shows their progress. hour Wendy 15 miles 4 hours Tinny 11 miles 6 hours Jinx 17 miles 7 hours a. Who is walking the fastest? b. Calculate the speed they were travelling (Mph).

9 7. Howard, Watson and Rivera agree to meet in Las Vegas for the weekend. They have to cover 105 miles over the trip. Here is their day 1 progress: hour Howard 65 miles 15 hours Watson 80 miles 20 hours Rivera 72 miles 18 hours a. Who walks faster Watson or Rivera? b. One of the friends walks 4.33 miles in an hour, who is it? 8. James started doing his homework over two days. On day 1 he takes 2 hours to write 20 pages. On day 2 he takes 3 hours to write 30 pages. Pages Times 20 Pages 2 hours 25 Pages 3 Hours a. How many pages did he write in total? b. In which hour did he write the fastest? 9. Powell filled two water bottles that carry different volumes of water. Bottle Time Fill Inches per second One 12 seconds 12 inches Two 13 seconds 10 inches a. Complete the fill per second column of the chart. b. Which will fill first?

10 10. Coleman, Bennett, Perry and Patterson are going for a walk. minute Coleman 26 miles 156 min Bennett 29 miles 212 min Perry 20 miles 210 min Patterson 24 miles 186 min a. Who walks fastest? b. Who will finish a 10 mile walk-a-thon first and how long will it take?

11 The Attributes of Data and Units of Measure - Matching Worksheet Write the letter of the answer that matches the problem. 1. Russell, Bryant and Butler is going for a walk. a. 0.5, 0.5 minutes Russell 50 miles 15 min Bryant 55 miles 20 min Butler 60 miles 25 min a. Who walks fastest? 2. Hamilton cleans two boxes. The size and amount of time is noted below. b. 1.13, 11.3 Box Time Clean Inches per minute One 10 min 5 inches Two 12 min 6 inches a. Complete the rate column of the chart. 3. A train left Delhi and traveled towards Mumbai. c. Russell Distance Time Miles per minute 70 miles 62 min a. Calculate the miles per minute. b. How much distance would the train cover in 10 minutes?