Seventh Grade Spiraling Review Week 1 of First Six Weeks
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- Garey Martin
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1 Week of First Six Weeks Note: Record all work in your math journal. Day Indicate if each of the given numbers below is equivalent to, less than, or greater than. Justify each response. 0.0, 0 4.7, %,, 0%, 0.0, Day 3 4, 0.0, 0%, 8, 4, 3., 0.0,, %, a) Place the given numbers in the appropriate column in the table below. Between 0 and Equal to Between and Greater than b) Justify each placement. Which of the two fractions 7 8 or 9 0 is closest in value to? Explain. Jane states that 0% and % are both equivalent to. a) Is this statement correct or incorrect? b) Justify your response. Use Calculators a) Convert the following fractions 00, 0 and to decimals. b) Use these as benchmarks to place a decimal point in a reasonable position so that each decimal is equivalent to the given fractions in the table below c) Use a calculator to convert each fraction to a decimal and verify your response to part a. 0, TESCCC 03/9/ page of 0
2 Week of First Six Weeks Note: Record all work in your math journal. Day. Use integers to represent each given situation. Justify your response. a) 7 meters below sea level b) A gain of yards c) A loss of 3 dollars. Write an expression using integers to represent the given situation. a) An income of 0 dollars, spend 6 dollars, earn dollars, buy a meal for dollars Day Draw a line segment. Let the length of the line segment represent 00%. Use the line segment to indicate where you would place the given amounts if $0 represents 00% of the money you earned during the week for babysitting. What percent of your earnings does each amount represent? Justify your response. a) $ b) $.0 c) $37.0 a) Write an integer to represent degrees below 0 F. b) Write an integer to represent 3 degrees below 4 F. c) Draw a number line to show the correct placement of the integers for parts a and b. Create a geometric model to represent: a) the square root of 8 b) the square root of 44 Use Calculators Convert each decimal to a fraction. Write the percent form of the fraction and decimal. Use a calculator to check your solutions. a) 0.07 b) 0.0 c) 0.00 d) , TESCCC 03/9/ page of 0
3 Week 3 of First Six Weeks Note: Record all work in your math journal. Write each given value as a percent. Justify your response. Day a) b) 3 % 4 % Day Are the following statements true or false? Explain why or why not. a) 3 3% b) % a) List the following values in ascending order.,, 0.0, %, 0.06%, 8, %, 7 4 %, 0 3, 7% c) Indicate which values (if any) are equivalent. Justify your response. Let a and b represent integers not equal to 0. Give examples for a and b to complete the table below. a, b: integers 0 True Example False Example a > b > 0 0 > b > a Indicate if the fraction is between and or greater than. Justify your response. Use Calculators a) b) c) d) Use a calculator to convert each fraction to a decimal. 0, TESCCC 03/9/ page 3 of 0
4 Week 4 of First Six Weeks Note: Record all work in your math journal. Day Day Earned Spent Tuesday $ $8 Wednesday $ $ Thursday $0 $0 a) Write an expression from the information in the table to represent how much money Sheila has by the end of Thursday if she had $48 on Monday. Day Indicate if the given percent is closest to 0, 4,, or 3. Justify each response. 4 a) 48% b) % c) 7% d) 3% e) 80% Model each given expression using two-color counters, draw a diagram of the model, and write an equation to show the solution. a) ( 4) + b) 3 + ( 6) c) ( ) + ( 4) Use Calculators Look at the expression below: 7² (4 4) a) According to the order of operations, which step would come first in order to evaluate this expression? b) Use the order of operations to find the value of the expression. a) Use compatible numbers to estimate each sum b) Use a calculator to find the each sum. c) How do the calculated sums compare to your estimated sums? 0, TESCCC 03/9/ page 4 of 0
5 Week of First Six Weeks Note: Record all work in your math journal. Day Draw a diagram to represent each given expression. a) 3 ( ) b) ( ) + ( 3) + c) 3 ( ) + ( 3) Day Draw a diagram to represent each given expression. Write the product. Write a related addition equation. a) 3 x ( 4) b) x ( 3) Write the equivalent fraction and decimal for the given percents. Justify each response. a) 60% b) 33 3 % c) % d) % Clue : The first integer is less than negative 8. Clue : The second integer is 3 less than. Clue 3: The third integer is 8 more than the first integer. a) Use the given clues to identify the three integers. b) Write an equation to show the product of the three integers. c) The product of the three integers is. Use Calculators Write a statement to describe how the given decimal compares to. Justify each response. a) 0.00 b) 0.0 c).0 d) Use a calculator to convert each decimal in parts a, b, and c to a fraction. 0, TESCCC 03/9/ page of 0
6 First Six Weeks Answer Keys (pp. of ) Week Answer Key: Process may vary. Day < 0% < % 00 < Day a) Between 0 and Equal to Between and Greater than 0.0,., % 0%, 0.0, , 8 4 b) 0 00,0.0 00, % 00 both less than, also %, both are equal to, also so 3 4 >, also 4 8 so 8 > 4 so 4 4 > so 4 < 7 8 is 8 from and 9 0 is 0 from. Since 0 < 8, 9 0 is closer to. a) This is incorrect: 0% b) % 0.% and a) and 0.. b) 00 < 6 < so 0.0 < 0.06 < < 9 0 < 0 so 0. < 0.4 < c) See student work , TESCCC 03/9/ page 6 of 0
7 First Six Weeks Answer Keys (pp. of ) Week Answer Key: Process may vary. Day. Use integers to represent each given situation. Justify your response. a. 7 (Sea level is 0 and below sea level is negative, so 7 meters below is -7) b. + (A gain is an increase from the original point and positive, so a gain of yards is +) c. 3 (A loss is a decrease from the original amount and negative, so a loss of $3 is -3). Write an expression to represent the given situation. a (Income is positive, spend is negative, earn is positive, buy is negative) Day $.0 $ $37.0 $0 0% % 0% 7% 00% Sample answer: If $0 is 00%, then half of 00% or 0% would be half of $0 or $. Half of 0% would be % and half of $ would be $.0. 0% plus % would be 7% and $ plus $.0 would be $37.0. a) F b) 7 F c) a) Square root of 8 b) Square root of 44 7 a) % b) % c) % 4 d) % 0, TESCCC 03/9/ page 7 of 0
8 Week 3 Answer Key: Process may vary. Day 3 4 a) 4 00 % b) Day a) True: 3 First Six Weeks Answer Keys (pp. 3 of ) 4 00 % 3% % not 3 % b) False: % % 0.% 0.00 and 0. a), 8, 0 3, 0.06%, %, 0.0 and %, 7 4 %,, 7% b) 0.0 and % are equivalent; Answers may vary. a, b: integers 0 True Example False Example a > b > 0 0 > b > a a 3 and b 3 > > 0 b 3 and a 4 0 > -3 > -4 a 6 and b 7 6 > 7 not > 0 b 3 and a 0 > -3 not > - Indicate if the fraction is between and or greater than. Justify your response. a) > 0. and 0. < between and. b). > greater than c) > 0. and 0.87 < between and. d) See student work. 0, TESCCC 03/9/ page 8 of 0
9 First Six Weeks Answer Keys (pp. 4 of ) Week 4 Answer Key: Process may vary. Day a) Day % a) 48% close to 0% b) % close to 0% c) 7% close to % d) 3% close to 0% e) 80% close to 7% a) ( 4) + b) 3 + ( 6) ( 3) 0%; %; %; c) ( ) + ( 4) ( 6) a) Parentheses: (4 4) b) 7² (4 4) 47 a) Answers may vary b) See student work. c) Estimated sums reasonably close to calculated sums , TESCCC 03/9/ page 9 of 0
10 Week Answer Key: Process may vary. Day a) 3 ( ) Day b) ( ) + ( 3) + c) 3 ( ) + ( 3) First Six Weeks Answer Keys (pp. of ) Put in zero pairs Remove negatives a) 3 x ( 4) ( ) ( ) ( ) b) x ( 3) 6 ( ) ( ) a) 60% b) 33 3 % c) % d) % a) Clue : The first integer is less than negative 8. ( 8) 3 Clue : The second integer is 3 less than. 3 Clue 3: The third integer is 8 more than the first integer b) ( 3) ( ) ( ) c) ( 3) ( ) ( ) a) ; b) 0.0 < 0.; c).0 > 0.; d) See student work. 0, TESCCC 03/9/ page 0 of 0
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