Dickinson ISD 7 th Grade PAP/STEM Math Summer Assignment All Dickinson Pre-AP/Advanced students are expected to maintain and advance their mathematical skills over the summer. Studies have shown that there is an effect known as the Summer Slide where students lose some of their achievement gains from the previous year during the summer. We want to avoid this phenomenon by helping your student keep their math skills sharp and continuing to develop the skills necessary for success in 7 th PAP math including: Integer fluency Rational Number Fluency Solving 2-step equations Rate of Change A few recommendations for success: Encourage students to work about 3-5 problems at one sitting and to watch the videos if they need additional support. The packet is not designed to be completed all at one time, and it will not be nearly as effective at preventing summer slide if done that way. Encourage your child to show their work neatly. Students will only receive credit if work is shown for each item. We realize some students procrastinate until the end of the summer to work on the packet, but even working it right before they come back to school is still better than not doing it at all. At least, students review and refresh their math skills before coming back. Students must turn in completed packet on the first day of school. Work must be shown for each problem. Within the first two weeks of school, teachers will assess students understanding of concepts/skills practiced within the packet. The receipt of this Summer Assignment by your student does not indicate their placement into a PAP class for 2018-19 school year. Placement decisions will be communicated this summer through your child s campus. If I need a fresh copy of the packet, I can go to this website http://tiny.cc/b7r1sy Or I can use this QR code to get to the packet.
TOPIC OF STUDY VIDEO RESOURCE QR code INTEGER FLUENCY http://tiny.cc/xfs1sy FRACTION FLUENCY http://tiny.cc/kis1sy DECIMAL FLUENCY http://tiny.cc/z2s1sy SOLVING EQUATIONS http://tiny.cc/m4s1sy RATE OF CHANGE http://tiny.cc/j6s1sy 2
NAME: Integer Fluency 1. 9 + 13 2. ( 7)( 5) 3. 718 ( 6) 4. 3 ( 7) 5. 9 18 6. 30 3 7. 8( 7) 8. 18 + ( 13) 9. 9 ( 5) 10. 19 + 11 11. 6 ( 15) 12. 54 ( 6) 3
NAME: Integer Fluency 1. 19 + ( 7) 2. 40 8 3. 7 + ( 11) 4. 72 18 5. 14 ( 11) 6. 9 + 18 7. 14( 7)) 8. 12 + ( 9) 9. 46 ( 2) 10. 8 + ( 22) 11. 45 9 12. 9 + ( 3) 4
NAME: State the integer that best describes each situation. 1. 5 yard gain 2. A withdrawal of $40 3. The stock rose 8 points. 4. 20 seconds before blastoff 5. A bill for $15 6. A profit of $22 7. 9 below zero 8. 125 feet below sea level 9. A bank deposit of $35 10. Sea level 11. The temperature rose 10. 12. I owe my friend $20. 5
Name: 1. When Steve woke up, his temperature was 102 F. Two hours later is was 3 lower. What was his temperature then? Applications with Integers 2. An elevator is on the twentieth floor. It goes down 11 floors and then up 5 floors. What floor is the elevator on now? 3. A deep-sea exploring ship is pulling up a diver at the rate of 25 feet per minute. The diver is 20 feet below sea level. How deep was the diver 10 minutes ago? 4. If it is 5 outside and the temperature will drop 17 in the next six hours, how cold will it get? 5. Josie has $47 left on her checking account. If she writes a check for $55, what will Josie s balance be? 6. Joe is playing a game with a regular number cube. If the number that is rolled is even, he will win 4 times the number that comes up. He rolls a 3. Express the result of his winnings as an integer. 7. Justin was playing football. He scored a touchdown by running 53 yards. Then he made a first down of 17 yards. Finally, he caught a screen pass but lost 10 yards on the play. What was the total yardage gained by Justin? 8. The elevation of Mt. Everest is 29,028 feet. The elevation of the Dead Sea is -485 feet. What is the difference in the elevation between Mt. Everest and the Dead Sea? 9. In golf, a player s score is calculated by how far they are from par. It is better to be below par. If par is 63 strokes on a certain golf course and you are 3 strokes below par, what would your total score be? 6
1. While watching a football game, Lin decided to list yardage gained as positive integers and yardage lost as negative integers. After these plays, Lin recorded 14, -7 and 9. What was the net gain or loss? Applications with Integers 2. Pythagoras was born about 582 BC. Isaac Newton was born in 1643 AD. How many years apart were they born? 3. Two golfers completed one round of golf. The first golfer had +6 above par and the second golfer had -3 below par. How many more strokes did the first golfer take? 4. What is the balance as a result of having a credit of $84 and a debit of $29? 5. The freezing point of water is 32 F. Tim added potassium and found out that the freezing point went down by 8 F. What was the freezing point of the water with the added potassium? 6. The city s budget is $8,000,000. The city actually spends $12,000,000. What is the city s deficit? 7. The local movie theater reported losses of $475 each day for three days. What was the loss for the three days? 8. A scuba diver swam 96 feet beneath the surface of the lake. He then climbs up 49 feet. What is his depth now? 9. Sonny has $75 to spend. The purchase he wants to make requires $93. If he borrows the extra money that he needs, how much does he need to borrow? 7
NAME: Order of Operations (PEMDAS or GEMDAS) 1. 3 + 4 5 2. (4 2 + 8) 2 3. 15 5 + 2 4. 10 + 2 3 6 3 5. 18 + 5(5 9) 2 6. 10 5 2 + (9 14) 7. (13 2) (5 7) 6 8. 29 (7 2 9) 5 9. 65 2 7 + 9 3 10. ( 6)(2) + ( 8 4) 11. 8 ( 3) + 33 ( 3) 12. 3 + 9 2) ( 8) 1 8
Fractions- Please simplify the following fractions 1. 14 18 2. 80 100 3. 18 36 4. 20 25 5. 27 36 6. 40 45 7. 63 81 8. 50 75 9. 17 51 9
Fractions- Use <, >, or = to compare the two fractions for # s 1-5 For # s 6-9, change the mixed numbers into improper fractions 1. 3 4 9 16 2. 2 5 3 10 3. 1 3 1 2 4. 10 16 5 8 5. 7 8 15 16 6. 5 7 8 7. 9 2 3 8. 2 1 2 9. 12 2 5 10
Fractions For # s 1-5, change the mixed numbers into improper fractions For # s 6-7, order the fractions from smallest to largest. For # s 8-9, order the fractions from largest to smallest. 1. 27 8 2. 13 5 3. 93 8 4. 66 7 5. 25 2 6. 3 4, 3 7, 2 3 7. 1 7, 3 14, 3 28 8. 8, 3, 13 11 4 22 9. 7 8, 35 64, 5 16 11
Multiply the Fractions and simplify if possible. 1. 1 8 2 3 2. 1 2 4 5 3. 3 5 10 11 4. 6 1 3 5. 5 9 9 6. 10 1 2 7. 1 3 12 8. 15 16 8 10 9. 2 1 3 5 2 5 10. 1 2 2 1 8 11. 2 4 5 5 12. 6 2 3 9 12
Divide the Fractions and simplify if possible. 1. 2 3 5 63 2. 9 10 1 2 3. 3 4 1 4 4. 2 3 8 5. 6 1 2 6. 3 4 4 7. 8 1 5 6 8. 5 2 5 1 9 10 9. 8 1 3 5 6 10. 5 7 8 4 11. 16 2 3 13 1 6 12. 3 4 2 1 3 13
1. A stack of boards is 21 inches high. Each board is 1 3 4 inches thick. How many boards are there? Applications with Fractions 2. A satellite makes 4 revolutions of the earth in one day. How many revolutions would it make in 6 1 2 days? 3. If a bookshelf is 28 1 8 inches long, how many 1 7 8 inch thick books will it hold? 4. Deborah needs to make 16 costumes for the school play. Each costume requires2 1 yards of 4 material. How many yards of material will she need? 5. Belinda baked 9 pies that weigh 20 1 pounds total. 4 How much does each pie weigh? 6. DJ Iglesias is going to serve 1 3 of a whole pizza to each guest at his party. If he expects 24 guests, how many pizzas will he need? 7. A recipe for cookies requires 2 cup of butter. 3 Rama wants to make 3 4 of the recipe. How many cups of butter should Rama use to make the cookies? 8. A baby weighed 7.25 lb at birth. At the end of 8 months, the baby weighed 2 1 2 times its birth weight. How many pounds did the baby weigh at the end of 8 months? 9. A pet store had 4 cats to feed. If they only had onefifth of a bag of cat food and each cat got the same amount, what fraction of the bag would each cat get? 14
Add or Subtract Fractions 1. 2 4 + 3 6 2. 5 6 + 3 8 3. 7 9 + 2 3 4. 3 4 1 2 5. 3 5 1 3 6. 7 8 2 3 7. 8 4 5 + 8 1 10 8. 1 2 3 + 3 7 9. 16 5 8 + 11 12 15
Add or Subtract Fractions 1. 2 4 + 3 6 2. 5 6 + 3 8 3. 7 9 + 2 3 4. 3 4 1 2 5. 3 5 1 3 6. 7 8 2 3 7. 8 4 5 + 8 1 10 8. 1 2 3 + 3 7 9. 16 5 8 + 11 12 16
Add or Subtract Fractions 1. 3 4 5 + 6 2 3 + 5 11 15 2. 12 1 7 8 2 3 3. 14 2 1 9 4. 5 5 6 + 10 12 5. 6 4 7 8 6. 11 3 5 5 7. 2 4 8 + 1 2 3 8. 12 2 3 + 7 3 7 9. 16 5 8 1 11 12 17
Fraction Applications 1. Find the total width of 3 boards that are 1 3 4 inches wide, 7 8 inches wide, and 1 1 2 inches wide. 2. A 7.15H tire is 6 5 8 inches wide and a 7.15C tire is 4 3 4 inches wide. What is the difference in their widths? 3. If 3 1 ounce of cough syrup 2 is used from a 9 1 ounce 4 bottle, how much is left? 4. I set a goal to drink 64 ounces of water a day. If I drink 10 1 ounces in the 3 morning, 15 1 ounces at 2 noon, and 20 5 ounces at 6 dinner, how many more ounces of water do I have to drink to reach my goal for the day? 5. Three sides of a parking lot measure the following lengths: 108 1 4 feet, 162 3 8 feet, and 143 1 feet. If the 2 distance around the lot is 518 15 feet, find the fourth 16 side. 6. Gabriel wants to make 5 banners for the parade. He has 75 feet of material. The size of four of the banners are 12 1 ft, 16 1 3 ft, 11 ft and 3 6 4 14 1 2 ft. How much material is left for the fifth banner? 18
Operations with Decimals 1. 36.12 + 5.792 2. 8.9 + 2.14 + 7.1 3. 3.6 + 5.27 + 8.93 4. 5.002 4.3 5. 0.91 2.7 6. 4.6(3.9) 7. 36.78 2.4 8. 58.5 10.4 9. 32 0.23 10. 0.16614 0.78 11. 0.0527 0.85 12. Nina and 3 friends ate lunch at a café. They decided to split the bill evenly. The total bill was $17.84. How much was each person s share? 19
Solve 2 step equations 1. 2(n + 5) = 2 2. 9n + 1 = 80 3. 9n + 1 = 80 4. 2 = 2 + n 4 5. 144 = 12(n + 5) 6. 10 6n = 104 7. 8 + n 4 = 5 8. 243 = 9(10 + n) 9. n+15 16 = 1 20
NAME 1. Rate of Change WORK SPACE. WORK SPACE 21
Please sign and return to your student s current Math teacher. My child and I have received notice of the summer assignment for PAP math. We understand that the completion date for this assignment is August 20, 2018. Parent Printed Name Parent signature Student printed name Student Signature Student Grade next year Student School next year Date 6th Math Teacher s Name ******NOTE: If you do not wish to have your child enrolled in PAP Math next year, please contact the counselor at your child s school. 22