Topic 15 Solving Measurement Problems. Exam Intervention Booklet

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1 Topic 15 Solving Measurement Problems Exam Intervention Booklet

2 Intervention Lesson H11 Counting Money Gary has a $1 bill, a quarter, 2 dimes, a nickel, and a penny. When you count money, start with the bill or coin of greatest value. Then count on to find the total. 1. Count Gary s money. $1.00 $ How much money does Gary have? 3. Write $1.51 in words. one dollar and cents 4. Ty has a $1 bill, a half-dollar, 2 quarters, and 3 dimes. Count Ty s money. $1.00 $ How much money does Ty have? 6. Who had more money, Gary or Ty? Intervention Lesson H11 105

3 Intervention Lesson H11 Counting Money (continued) Write the total value in dollars and cents five-dollar bill, 3 quarters, 9. 1 one-dollar bill, 1 half-dollar, 1 nickel, 2 pennies 4 nickels, 8 pennies one-dollar bill, 2 quarters, five-dollar bill, 1 one-dollar bill, 4 dimes, 3 nickels, 1 penny 1 quarter, 4 dimes, 3 nickels Compare the amounts. Write,, or. 12. $ quarters, 2 dimes 13. $ dimes, 1 nickel quarters, 6 dimes $ half-dollars, 3 nickels $ Reasoning Anita and Ted both have $1.49, but each have different coins. What coins could each have? 106 Intervention Lesson H11

4 Intervention Lesson H12 Making Change Ivan bought a plastic dinosaur for $3.68. He paid with a $5 bill. Answer 1 to 10 to find how much change Ivan received. To make change, start with coins that will make it easier to skip count. Count up to the amount you paid. 1. Start with $3.68. Count on with pennies until you get to an amount that ends in 0 or 5. $3.68, $3.69, 2. How many pennies did you count? 3. How much are 2 pennies worth? $0. 4. Count on from $3.70 with dimes. $3.70,,, 5. How many dimes did you count? 6. How much is 3 dimes and 2 pennies worth? $0. 7. Count on from $4.00 with one-dollar bills until you get to the $5.00 Ivan paid. $4.00, 8. How many dollar bills did you count? 9. How much is 1 dollar bill, 3 dimes and 2 pennies worth? $. Intervention Lesson H12 107

5 Intervention Lesson H12 Making Change (continued) 10. How much change did Ivan receive? List the coins and bills you would use to make change. Then write the change in dollars and cents. 11. Cost: $1.40 Amount paid: $ Cost: $3.17 Amount paid: $ Cost: $0.76 Amount paid: $ Cost: $1.33 Amount paid: $ Reasoning Beverly bought a gallon of juice for $2.69. She used three $1 bills. Give two ways to show the change. Circle the one that uses the fewest coins. 108 Intervention Lesson H12

6 Intervention Lesson I48 Rectangles with the Same Area or Perimeter Materials colored pencils or crayons. Ms. Arellano s class is making a sand box shaped like a rectangle for the kindergarten class. They have 16 feet of wood to put around the sand box. What length and width should the sand box be so it has the greatest area? Each of the rectangles in the grid at the right has a perimeter of 16 feet. Find which rectangle has the greatest area by answering 1 to Complete the table. The formula for area of a rectangle is A w. Rectangle Length Width Area (square units) W X Y Z 2. What are the length and width of the rectangle with the greatest area? 3. What length and width should Ms. Arellano s class use for the sand box? 4. Reasoning Tracy told Tomas that if a two rectangles have the same perimeter, they have the same area. Is Tracy correct? Explain your reasoning. Mr. Katz has 30 carpet squares to make a reading area in his classroom. Each square is one foot on a side. He wants to make the area in the shape of a rectangle with the least possible border. How should he arrange the carpet squares? Intervention Lesson I48 185

7 Intervention Lesson I48 Rectangles with the Same Area or Perimeter (continued) Each of the rectangles on the grid at the right has an area of 30 square feet. Find which one has the least perimeter by answering 5 to What is the perimeter of Rectangle 1? P 2 2w 2( ) 2(5) feet 6. What is the perimeter of Rectangle 2? P 2 2w 2( ) 2(3) feet 7. What is the length and width of the rectangle with the least perimeter? 8. How should Mr. Katz arrange the carpet squares? Draw a rectangle with the same area as the one shown. Then find the perimeter of each Reasoning Marco has 36 feet of fencing, what is the greatest area that can he can fence? 186 Intervention Lesson I48

8 Intervention Lesson I62 Making Line Plots A year is sometimes divided into 1st quarter: January to March quarters, as show at the right. 2nd quarter: April to June 3rd quarter: July to September 1. Take a survey by asking, Which 4th quarter: October to December quarter of the year were you born? Write the number of the quarter each person answers in the grid. Quarter of the Year You Were Born 2. What are all of the possible quarters that can be said? Answer 3 to 7 to make and use a line plot of the data. 3. Draw a line. Below the line, list in order, all the possible quarters that could be said. 4. Write Number of Birthdays by Quarter below the line plot. 5. For each quarter that was said, mark an X above that quarter on the number line. If more than one X needs to be placed above a quarter, stack them in a single column. 6. Which quarter has the most number of birthdays? 7. How many birthdays are after the 2nd quarter? Intervention Lesson I62 213

9 Intervention Lesson I62 Making Line Plots (continued) The nature club leader took a survey of the number of birdfeeders each member had made during camp. The results are shown in the table. 8. Make a line plot to show the data. Birdfeeders Made During Camp Member Made Member Made Ivan 4 Luther 5 Chloe 4 Marco 5 Stacey 3 Victoria 6 Victor 6 Chi 7 Tony 5 Wesley 5 Manny 6 Wendy 5 9. How many members made 4 birdfeeders? 10. How many members made 2 birdfeeders? 11. What was the most number of birdfeeders made by a member? 12. How many members made 5 or 6 birdfeeders? 13. How many members made less than 6 birdfeeders? 14. Did more members make more than 5 birdfeeders or less than 5 birdfeeders? 15. Reasoning By looking at the line plot, if one more person attended camp, do you think that person would probably make 4 birdfeeders or 5 birdfeeders? Explain. 214 Intervention Lesson I62

10 Intervention Lesson J18 Use a Simpler Problem, Table, and Pattern Materials color tiles, 10 for each student Roger is putting up a row of mirror tiles in his entry way, as show at the right. The tiles are squares, 1 foot on each side. How many feet of wood trim does he need to go around 10 tiles in a row? Solve by answering 1 to 6. Answer 1 and 2 to understand the problem. 1. What do you know from reading the problem? The tiles are square and each side is long. Roger is putting tiles in a row. 2. What do you need to find? Answer 3 to 5 to plan and solve the problem. You can solve simpler problems, put the solutions in a table, and find a pattern to extend the table in order to solve the problem. 3. Find the feet of trim needed for 3 tiles, 4 tiles, and 5 tiles in a row. You may want to use the picture above. Write the answers in the table below. Number of tiles Feet of trim What is the pattern in the table? 5. Use the pattern to complete the table. How many feet of wood trim does Roger need to go around 10 tiles in a row? Intervention Lesson J18 73

11 Intervention Lesson J18 Use a Simpler Problem, Table, and Pattern (continued) Answer 6 to look back at how you solved the problem. 6. Reasoning Was it easier to use simpler problems, a table, and a pattern than it would have been to solve by drawing a picture of 10 tiles in a row? What if there were 50 tiles in a row? Complete each table. Solve each problem. 7. Suppose Mr. Lange had a rope 50 feet long and wanted to cut it into 25 equal pieces. How many cuts would it take? Pieces Cuts The Washington Stars signed up for a single elimination soccer tournament. This means that 2 teams play and the loser is eliminated. There are 8 entries in the tournament. How many games must be played to determine the champion? Teams Games During the grand opening of a craft store, every fourth customer was given a discount coupon. Every tenth customer was given a discount coupon and a gift. During the grand opening, 120 people visited the store. How many coupons and gifts were given away? Customers Gifts Coupons Intervention Lesson J18

Use Inchworms. Measure each item. inches. inches. Find each item. Estimate the length. Use Inchworms to measure the length. 4.

Lesson 1 Measurement and Data Use Inchworms. Measure each item. 1. inches 2. Find each item. Estimate the length. Use Inchworms to measure the length. inches 3. one side of a book Estimate: inches Actual: