Grade Seven. Classroom. Strategies. Blackline Masters

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1 Grade Seven Classroom Strategies Blackline Masters Classroom Strategies Blackline Master I - Page

2 Page Classroom Strategies Blackline Masters

3 Scientific Notation Square Puzzle. x 0 0,00,000 0, x 0.0 0, x 0 0,000. x 0. x 0. x x x 0. x 0 0, x 0.0 x 0.0 x 0.0 x x 0. x 0.0 x 0.0 x 0. x 0,000. x 0 0. x 0. x 0. x 0 6,00,000. x 0,000 0,00. x 0. x 0.0 x 0. x 0 0,000 0,00..0 x x x 0, ,000 Classroom Strategies Blackline Master I - Page

4 Name Date Mathematical Message - I Write each number below in decimal from. Then place the numbers in numerical order. When the numbers are in order, the code letters will spell out a message. Exponential Form Code Letter Decimal Form Numerical Order Message 0. x 0 H.6 x 0 A 0.0 x 0 R. x 0 O 0. x 0 A.0 x 0 space. x 0 E.7 x 0 O 0.0 x 0 M 0. x 0 I. x 0 W. x 0 L.0 x 0 space 0.8 x 0 P. x 0 space 0. x 0 T. x 0 T. x 0 S. x 0 O 0. x 0 space Page Classroom Strategies Blackline Master I -

5 Mathematical Message - II Name Date Place the numbers below in numerical order. If you wish, you may change the numbers to decimal form for easy comparison. When the numbers are in order, the code letters will spell out a message. Number List Code Letter Decimal Form Numerical Order Message / M 0.6 E 9 / I / A 0 / 6 N 9 / N / T / 0 C / space / 0 E.0 space.7 A 6 / R.0 T / 6 N / 0 H 0.09 H / 0 L / L 8 / 9 T 0. space / 00 D / W. I 9 / L 8 / G / H 0.7 P / O 7 / K.9 space / I / 8 I. I / A / S.0 space Classroom Strategies Blackline Master I - Page

6 Page 6 Classroom Strategies Blackline Master I - Spaceship Shape Up Put the spaceship pieces together. Make sure that wherever two or more rhombuses touch, the fractions or decimals are equivalent as shown below. The rhombuses should be placed inside each hexagon so that each one has the shading shown below

7 Classroom Strategies Blackline Master I - Page Each completed hexagon should have the shading shown here. That is, white at the top, darker shade at the bottom, and medium shade at the right side

8 Finish Start Rational Race Page 8 Classroom Strategies Blackline Master I -6

9 Rational Number Cards Classroom Strategies Blackline Master I - 7 Page 9

10 Rational Number Cards Page 0 Classroom Strategies Blackline Master I - 8

11 Rational Number Cards Classroom Strategies Blackline Master I - 9 Page

12 Fractions, Decimals, and Percent Hexagon Puzzle % 0 % 7% % 0. % 0% 0% % 90% / % % 0% 60% % % % 6% 8 0 9% 9 0 0% 9/6 8% 8 % /8 0. Page Classroom Strategies Blackline Master I - 0

13 Name Date Recipe Workout Complete the charts to reduce or increase the number of servings. Chicken and Tortilla Casserole Number of Servings Number of boneless chicken breast halves 8 Jars of salsa verde Cups of light sour cream Cups of half and half Corn tortillas / Cups of shredded cheddar cheese Cups of grated parmesan cheese / Chocolate Chip Cookies Dozens. 7.. Sticks of Butter Cups of sugar Cups of brown sugar / / Eggs Teaspoons of vanilla Teaspoons of salt / Teaspoons of baking soda Cups of flour / Cups of chocolate chips Classroom Strategies Blackline Master I - Page

14 Page Classroom Strategies Blackline Master I - Integer Race Move ahead spaces Move ahead spaces Finish Start

15 Integer Computation Square Puzzle (- + 7) 0-7(- + 6) (-) (-) -() + 9 -() - 7 -(7-0) -7 + (-)(-) (-8 - ) (-)() () -6(6) (-9) 0-9(-) (8) (-) - 6 -(-) (- + 8) () + (-) + (-) -(- + 0) (0-8) ( - 0) -6 (-6) (-) Classroom Strategies Blackline Master I - Page

16 0 Integer Computation Triangle Puzzle - - (-7) (6 - ) -8-7(-) (-) ( - 6) (-) - 7(8) -6 - (-) - 9(-) -6 -(-0) () (-9) -( - (-)) - (8) ( - 0) -8-8() + (-) -() (-6) - (-) (-7) (-) - (-6) - 8(-) - Page 6 Classroom Strategies Blackline Master I -

17 Cooperative Problem Solving Cards -- Proportions Problem John has an economy car. John figures that It costs him $0 to make a trip of 0 miles. Problem John s sister s car cost a bit more to operate. She figures that she spends five cents more than John to drive each mile. Problem How many miles can the sister travel for a cost of $8.00? Problem The 7 th grade class needs to raise $8.00 per person to pay for a class trip. Problem The class decides to sell boxes of candy. Each box of candy sold will bring a profit of $.0 to the class. Problem If 90 people want to go on the trip, how many boxes of candy must be sold? Classroom Strategies Blackline Master I - Page 7

18 Cooperative Problem Solving Cards -- Proportions Problem Central Middle School has a special car that the mascot drives at games, pep rallies, and parades. The car can drive. the length of the football field (00 yards) in four minutes. Problem The school is thinking of using the mascot car in a parade down Main St. Main St. is. miles long. Problem How long will it take the mascot car to drive the length of main street? (80 feet per mile) Problem A city aquarium has $8,000 budgeted for animal food. Problem The aquarium is going to soon get additional animals which will increase the cost of food to $ per hour. Problem How many weeks will this budget last? Page 8 Classroom Strategies Blackline Master I - 6

19 Cooperative Problem Solving Cards -- Proportions Problem Amy figures that it costs her 0 cents per cookie to make her favorite recipe. Problem Each cookie weighs about oz. She wants to ship four dozen cookies to her brother. Problem The shipping rate is 7 cents per pound. Problem How much will it cost her to make and ship the cookies? Problem 6 On a certain school spirit day, Mrs. Thomas notices that of her students are wearing school colors. Problem 6 The school has 0 8th graders, 0 7th graders and 0 6th graders. th Problem 6 If you use Mrs. Thomas class to get an estimate, what is a good guess for the total number of students wearing school colors? Classroom Strategies Blackline Master I - 7 Page 9

20 Cooperative Problem Solving Cards -- Proportions Problem 7 A rectangular garden is 0 feet long and feet wide. Problem 7 The gardener has used 0 bricks to make a border along the longest edge of the rectangle. Problem 7 How many bricks will be needed for the entire perimeter? Problem 8 A huge poster of Arnold Schwarzeneggar is in front of the local movie theatre. Problem 8 The poster shows the distance between Arnie s eyes to be inches. The true distance between his eyes is.6 inches. Problem 8 If Arnie is 6 feet tall, how tall is his picture on the poster? Page 0 Classroom Strategies Blackline Master I - 8

21 Cooperative Problem Solving Cards -- Proportions Problem 9 Mark is going to make a graph comparing the age of a tortoise to its speed. Problem 9 The oldest tortoise is 0 years old and travels only foot per minute. Problem 9 The fastest tortoise is only years old but travels 0 feet per minute. Problem 9 Mark is using a graph grid with 0 spaces in both the horizontal and vertical direction. What scales should he use on both axes? Problem 0 The school nurse has read that 0% of all students miss school due to cold or flu during a school year. Problem 0 In her school there are 0 6th graders, 00 7th graders, and 7 8th graders. Problem 0 What is the best estimate for the number of students who will miss at least one day of school due to cold or flu? Classroom Strategies Blackline Master I - 9 Page

22 Pictorially Proportional George bought six identical pairs of jeans for a total of $0 not including tax. Sam has to work five weeks to save a total of $0. How much would four pairs of jeans cost? What about 0 pairs? The Gap *Jeans *Jeans *Jeans *Jeans *Jeans *Jeans Subtotal $0.00 Tax Total $ $ $ $ $ How long will he have to work to save a total of $800? $60? At the end of days, a company has received 70 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 8 tables? 80 tables? Page Classroom Strategies Blackline Master I - 0

23 Thousand Mile Race Cards in Play Team Team Team Score Hazards or Stockpiled Cards Classroom Strategies Blackline Master I - Page

24 % of 0 0% of 00 % of % of 00 0% of 00 0% of % of 60 0% of 600 0% of % of 00 7% of 0 0% of Page Classroom Strategies Blackline Master I -

25 % of 80 0% of 7 0% of % of 800 0% of 0 90% of $ /% of 0 7% of 60 80% of % of 8 0% of 6 % of 0 Classroom Strategies Blackline Master I - Page

26 % of 7 0% of 800 0% of % of 0% of 80 80% of % of 6 7% of 80 0% of $ % of $.00 0% of $.00 90% of $.0 Page 6 Classroom Strategies Blackline Master I -

27 % of / % of $.08 0% of / % of $ / % of 0 7% of % of 00 7% of 80 0% of $ % of 90 80% of % of 600 Classroom Strategies Blackline Master I - Page 7

28 STOP STOP STOP STOP STOP STOP CHASE CHASE CHASE CHASE STOP STOP Page 8 Classroom Strategies Blackline Master I - 6

29 GO GO GO GO GO GO GO GO GO CHASE STOP GO Classroom Strategies Blackline Master I - 7 Page 9

30 Rational Review Triangle Puzzle 60 divided by 0.6 / of 9 (/ + /) / 00% of 6 60 x of 00 / 8 0% of 60 / of 8 / /7 9 / of 00 0 / of divided by 00 60% of 0 % of 60 0 / of 60 / of 7 /8 + /8 % of 8 0 / 0 /7 of 0 / 0 60( / + / ) / of 6 of 60 / 8 /8 of % of 0 90% of 0 00 / + 6 / % os 0 0 / of % of Page 0 Classroom Strategies Blackline Master I - 8

31 Square Root Hexagonal Puzzle X = X = X =. X =.6 X - = 6 X = 6 X = 8 9 X + = X = X = 9 X + = 0 X = 60 X - = 9 X = X = X = 7 7 X - = 6.6 X - = Classroom Strategies Blackline Master I - 9 Page

32 Square Shake 6 squares Name Date squares on each side on each side 6 = = 6 Estimate 7 = = 6 squares 6 on each side 9 squares 9 squares 9 squares 7 on each side 6 = 6 6 = 6 Estimate 8 9 = 7 7 = 9 Estimate the following: Estimate the positive solution to the following equations.. x =. x = 0. x =. x = Page Classroom Strategies Blackline Master I - 0

33 Name Date Rational Number Review - Integer Check-up No Calculator Find each answer below. Show your work = (-0) =. + (-) = = (-8) = (-00) = = (-) = (-9) = = (-) =. 7 - (-) =. - x 6 =. -9 x (-7) =. 6 x (-) = 6. - x 7 = x (-) = x (-9) = 9. - = (-9) =. (-7) =. - 7 =. - (-) =. 6 (-) =. + (-8) + (-9) + = (-) (-) = 7. - ( - 7) = (7 - ) = Classroom Strategies Blackline Master I - Page

34 Rational Review Ratio, Proportion, Interest Ratio and Proportion Name Date. The first 0 customers at a football game ordered 0 cups of hot chocolate. How much hot chocolate might be needed for the night if the refreshment stand expects to have 000 customers?. In a certain science experiment, 0 mg of sulfur was used to make 0. liters of acid. If there is 00 mg of sulfur in the lab, how many liters of acid could be made?. At Disneyworld, customers pass through the gates in 8 hours. How many customers would be expected in 0 minutes? Percent (Discounts, taxes, commissions, simple interest). A pair of jeans normally sells for $. If the jeans are marked % off, what is the Discount? What will be the final price?. John makes $6. an hour. If he gets a % raise, how much more will he earn? What will be his new hourly rate? 6. George makes a % commission on all he sells. If he sells $0 worth of merchandise, how much will he make? 7. Greta makes a 6% commission on her real estate sales. If she sells a house for $0,000, how much money will she make? 8. Belks Store has a shirt priced at $.0. If there is 7% sales tax on the shirt, how much will the tax be? What will be the final price? 9. Mary must pay % income tax on the money she earns. If she earns $,000 in a year, how much tax will she pay? 0. A certain bank pays % interest on a savings account. If Mark leaves $7 in the bank for a year, how much interest will he earn? How much money will be in his account?. Mr. Jones agrees to lend $00 to his son to buy a car. However, he expects to be paid 8% interest. If the son earns enough money to pay back the loan in 6 months, how much interest will he owe? What is the total amount the son will repay? Page Classroom Strategies Blackline Master I -

Summer Math Learning Packet for Students Entering. Grade 6. SFTitle I

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