Finish Start Rational Race Go back Move ahead and go again 4 2 Classroom Strategies Blackline Master I - Page 7
/ of 24 / 5 + 4 / 5 / 5 5 / 7 8 0% of 75 2 / 5 / 2 of 2 / 5 / 7 6.4 7.5 / 5 40.2 4 2 / of 24 6 / 2 4.8 6 2 Page 74 Classroom Strategies Blackline Master I - 2
2 / / 4 of 6 / 7 + 5 / 7 6 9 / 7 / 2 + / 4 2 / 5 / 6 25% of 6 / 4 / 5 4 / 2 of 2 / 7 24.2.2.4 6 / 7 20.48 Classroom Strategies Blackline Master I - Page 75
.2.4 / 4 of 44 / 8 of 40.08 5 7 / 9 + 6 / 9 / 2 + 5 / 6 / 4 / 6 4 / 9 / / 8 50% of 8.8 / of 2 / 7 24.2 4.4 4 / 7 200 Page 76 Classroom Strategies Blackline Master I - 4
.2.8 5 / 6 of 2 22 /.6 0 66 / 9 of 6 5 / 2 + / 2 / + 5 / 6 7 / / 6 2 / 9 / 4 5% of 40 / 5 of 45 / 79 / 7 6 9 / 79 Classroom Strategies Blackline Master I - 5 Page 77
0.5..7 5 / 8 of 2 60.2 20 4 / 2 / 7 of 42 4 / 5 + 2 / 5 28 6 / 5 / + 4 / 9 2 / 5 5 / 26 75% of 40 7 / 9 / 0 Page 78 Classroom Strategies Blackline Master I - 6
/ 7 of 5 / 7 48.4.0.7 5 / 7 20.02 7 / 9 of 45 60 / 5 / 2 of 48 5 00 4 5 / 6 + 5 / 6 2 / - / 9 2 / 9 / 0 2 / 5 / 9 / 5 Classroom Strategies Blackline Master I - 7 Page 79
0% of 20 / 4 of 28 / 7 2.7 6 7 / 7 0.5.2 2 / 5 of 45 42 / 2.6 8 84 / 5 of 45 / 8 + 7 / 8 5 / 8 + / 4 9 / 4 / 8 Page 80 Classroom Strategies Blackline Master I - 8
Four friends order pizza. The bill comes to $24.6. How much should Joe pay for his share of the bill? Bill buys 7 movie tickets for him and his friends. The total cost is $5.70. How much will his six friends reimburse him for their tickets? $6.09 $0.60 $75 John and his brother Joe agree to buy a bicycle together. Joe agrees to pay 5 / 8 of the price, / 2 now and / 2 later. If the bike costs $240, how much will Joe pay now? When buying a stereo on credit, Ralph has to pay 0% down. How much is his down payment if the total price is $52? A pizza is divided into 8 slices. Rose eats three of them. Her friends agree to pay for the amount they eat. Rose has only half enough money to pay for her share. If the pizza costs $6, how much money does Rose have? Ralph likes to play video games. If each game costs a quarter and he has $2.50, how times can he play? $5.20 $ 50 In Sam s town, a movie ticket used to cost $4.50. The price of a ticket just went up 20%, How much does it cost now? Lois wants to buy a book that costs $6.90. She has saved only 2 / of the price. How much has she saved? $5.40 $24.60 0 Mary promises herself to walk 5 miles while on summer vacation. If she has time only to walk / 2 mile per day, how many days will this take? Classroom Strategies Blackline Master I - 9 Page 8
At a park, ten tickets cost $8.00. It takes five tickets to ride the roller coaster and three to ride the ferris wheel. What is the cost of these two rides? At a pizza parlor, a large pizza costs $6. John orders / 4 of a pizza and his date orders / 2 of one. If John pays for both, how much does he owe? $6.40 $20 $20 Doug s father agrees to buy a stereo for Doug, if he will pay for 2 / 5 of it. Doug can pay his share in six equal payments. If the stereo costs $00, how much is Doug s first payment? When buying a bicycle on credit, Ralph has to pay 25% down. How much is his down payment if the total price is $68? Mary needs to buy a lot of plastic hearts for a project she is working on. If each heart costs 40 cents and she has a total of $2, how many can she buy? $92 0 $8 Ralph wants to buy special patches for the 5 members in his motorcross club. If the patches cost $.20 each, how much will 5 cost? In Sam s town, sales tax is 6%. How much is the tax on a $0 item? Lois wants to leave a 5% tip on a restaurant bill of $8. How much is the tip? Two sisters buy a book for $2.50 and a CD for $8.50. How much is each sister s half of the total? $5.40 $2.70 $0.50 Page 82 Classroom Strategies Blackline Master I - 40
Names Date Alien Test Taking On the planet Nomarc, students take tests without pencils. They mark their answers with small dots or rings. See whether you and a partner can make 00% on this test. No pencils or calculators allowed. Use only the rings or dots provided by your teacher to mark the test. Find each correct answer.. 9-0.4 a) 0.5 b) 8.6 c) 8.4 d) 9.4 2. 2.4 + 7.2 + 24 a).60 b) 6.0 c) 2.6 d).6. + 5 a) b) 2 c) d) 2 2 2 2 4. 8 + 2 a) 6 b) 5 c) d) 5 9 9 8 9 9 9 5. 7-4 a) b) c) 5 d) 5 2 2 8 4 8 4 6. 0 x.5 a) 6.05 b) 59.2 c) 60.5 d) 592 7. 0.47 +.56 a).0050 b) 0.50 c).907 d).626 8. 72. x.2 a) 7. b) 86.52 c) 7.0 d) 865.2 9. 5.2 + 0.045 + 7 a) 7.5 b).4 c) 2.245 d) 22.245 0. 6 + 4.05-0.6 a) 4.82 b).75 c) 9.44 d) 20.66 Classroom Strategies Blackline Master I - 4 Page 8
Name Date Mini Review - Fractions Use these numbers to answer questions - 4. 2 / 0 4 / 5 2 / 2 9 / 20 / 2 /. Which number above is largest? 2. Which is smallest?. Which is closest to the number 2? 4. Which is closest to the number / 2? Find the answers to the problems below. 5. / 7 + 2 / 7 6. / 5 + / 5 7. 5 / + 2 / 8. / 8 + 7 / 8 9. 7 / 2 + / 2 0. 9 / 0-9 / 0. / 4 - / 4 2. 5 / 6 + 2 /. / 5 + 7 / 8 4. 7 / 2 + 2 / 8 5. / 2-5 / 6 6. / 4-2 / 5 Page 84 Classroom Strategies Blackline Master I - 42
Name Date Mini Review Fractions (cont.) 7. / 8 2 / 5 8. / 4 / 7 9. 2 / 5 / 4 20. 4 / 5 4 / 2. 2 5 / 8 2 / 4 Estimate each answer to the nearest whole number. Explain your estimation technique. 22. 2 7 / 8 + 7 / 2 + 5 5 / 8 + 9 / 20 2. 2 / 5 2 9 / 20 8 8 / 9 Problem Solving. Be sure to explain your work. 24. Marcia has seven packages of peanuts; each contains 2 / cups. Marcia needs six cups of peanuts to make peanut brittle. How many more cups does she need? 25. Linda has 6 2 / yards of ribbon which she has cut into four equal pieces. From one of these pieces she cuts a strip that is 8 inches long. How much is left in that piece? Classroom Strategies Blackline Master I - 4 Page 85
Name Date Mini Review - Decimals Use the numbers below to answer questions -4..5002.5.5047.98.2. Circle the largest number. 2. Underline the smallest number.. Which number is closest to /2? 4. Which number is closest to.2? Give the answer to each problem below. Show your work. 5. 6.02 +.05 + 8 6. 0.04 + 2. + 7 7. 6-4.26 8..8-2.4 9. 25.4-0.045 0. 75 x 0.. 0.25 x 6.4 2..2 x.25. 6.4 4 4..25 0.5 5. 2. 0.7 6. 6.4 2 Page 86 Classroom Strategies Blackline Master I - 44
Name Date Mini Review Decimals (cont.) Estimate the answer to each problem below to the nearest whole number. Explain your estimation technique. 7. 25.000 + 4.48 + 6.5 + 7.90 8. 2.75-7.67 + 8.25 + 5.67 9. 49.98 x 2.004 9.99 20. 6 x 0.249 + 25 x 0.20000 Estimate the answer to each problem below. Explain your work. 26. The cost of gasoline is $.249 per gallon. If Mark buys four gallons, about how much will this cost? 27. When John drives to work, he follows a route that is 2. miles long. He likes to return over a different route that is.4 miles long. About what distance does he drive, to and from work, over a period of 2 days? Classroom Strategies Blackline Master I - 45 Page 87
Name Date Mini Review - Percents Put the numbers in order from smallest to largest.. 50% / 5 / 2 / 8 0.52 0% 0.7489 75% 0. 2. 0.58 6 / 25 0% 60% 0.265 0. 7 /0 25% / Complete the chart below. Fraction Decimal Percent. / 5 4. 0.25 5. / % 6. 2 / 7. 0.8 8. 40% 9. / 4 0. 0.9 Solve each problem below.. How many hearts would be 50% of the hearts above? 2. How many stars would be 75% of the stars above?. If the smiley faces shown are only 25% of all the ones on a chart, how many are on the chart? 4. The stars shown above are only 0% of the ones on a flag. How many are on the flag? Page 88 Classroom Strategies Blackline Master I - 46
Problem Discussion Cards Problem Ralph and his brother are at a carnival. They separate from each other at the ferris wheel at :00 pm, and they agree that they will each check back at the ferris wheel from time to time to see whether the other is ready to leave. Ralph checks the ferris wheel every 5 minutes, and his brother, Joe, checks in every 24 minutes. At what time will they meet at the ferris wheel again? Would it have been better if Joe had checked in every 25 minutes? When would they have met again? Explain. Problem 2 The managers of a refreshment stand are going to buy hotdogs and buns. The buns come in packages of 24 or 0. The hotdogs come in packages of 8 or 40. The owners want to buy enough of each so that there is exactly one bun for every hotdog with none left over. They have to order enough to make at least 400 hotdogs. No matter which size package they buy, the buns cost ten cents each and the hotdogs cost 25 cents each. Which size package and how many of each should they buy to meet all their conditions? Problem Susan and Jim collect baseball cards. Susan has her cards in an album with two rows of five cards on each page. Jim s album has three rows of four cards on each page. They have the same number of cards, and neither of them has any empty spaces on a page. They have at least 400 cards. What is the smallest number of pages possible in each book? Problem 4 A set of 00 open lockers is numbered from -00. Sarah comes by and closes all the lockers with even numbers. Then, Sarah walks past the lockers again and checks the ones numbered with multiples of. If the locker is closed, she opens it, if it is open, she closes it. She repeats this with the multiples of 4, 5, 6, and so on to 00. When she has finished, which lockers will be open? Explain how you know. Classroom Strategies Blackline Master I - 47 Page 89
Pictorially Proportional George bought six identical pairs of jeans for a total of $240 not including tax. Sam has to work five weeks to save a total of $240. How much would four pairs of jeans cost? What about 20 pairs? The Gap 0-0-2002 *Jeans *Jeans *Jeans *Jeans *Jeans *Jeans Subtotal $240.00 Tax Total $ $ $ $ $ How long will he have to work to save a total of $4800? $60? At the end of 2 days, a company has received 270 complaints. How many complaints can they expect during the next week? the next eight weeks? In a restaurant with 6 tables, five waiters are required for the night shift. How many waiters are needed if the restaurant expands to 48 tables? 480 tables? 2 4 5 6 7 8 9 0 2 4 5 6 7 8 9 20 2 Page 90 Classroom Strategies Blackline Master I - 48
Name Date Percent Model 00% 0% Classroom Strategies Blackline Master I - 49 Page 9
Percent Model Example Problem What is 75% of 000? 00% 000 75%? 500 0% 00 First locate 75% on the left scale and shade the rectangle to show how much 75% is. Since the total amount of the numeric scale is 000, we write 000 on the right scale opposite 00% We then estimate a few points on the numeric scale such as, 50% = 500, 0% = 00. We then need to estimate the value on the numeric scale when this cup is filled to the 75% level. We can easily see that the answer should fall between 500 and 000. A better estimate might be 2000. The left and right scales are proportional. 000 = 00%, and we do not know what equals 75%, but we can see the proportion x = 75. This proportion can be solved to yield the answer 2250. 000 00 Page 92 Classroom Strategies Blackline Master I - 50
Percent Model Example Problem 2 80 is what percent of 250? 00% 250 25? 80? 0% 25 Set up the right scale to have 250 at the top. Mark a few easily found points such as 50% = 25, 0% = 25. Estimate where 80 would fall. Fill the cup to this level. About what percentage is equal to the 80 level on the numeric scale? Is it bout 0%? The left and right scales are proportional. 250 = 00%, and we do not know what equals 80, but we can see the proportion x = 00. 80 250 This proportion can be solved to yield the answer 2%, If our calculations had given us an answer far from 0%, we would have reason to suspect our calculations and look for a mistake. Classroom Strategies Blackline Master I - 5 Page 9
Percent Model Example Problem 70 is 20% of what number? 00%? 0% 20% 70 5 Set up the scales so that 70 = 20%. That means the 20% on the percentage scale should be opposite the 70 on the numeric scale. Shade the rectangles to this level. The number we seek is the number opposite 00% on the percentage scale. Estimate a few points on the numeric scale. If 20% = 70, then 0% = 5. 00% must be 50. This can be proved by the proportion below. The left and right scales are proportional. 70 = 20%, and we do not know what equals 00%, but we can see the proportion x = 70. The answer is 50. 00 20 Page 94 Classroom Strategies Blackline Master I - 52