prep Task Cards Numbers and Operations Created by: Danielle Krantz Revised 2014 6 th Grade Math
Teacher Notes This is a set of 40 task cards to review Reporting Category 1 with your students before the STAAR test. The cards cover the following TEKS (4 questions per TEK): 6.2 Number and operations. The student applies mathematical process standards to represent and use rational numbers in a variety of forms. The student is expected to: 6.2A classify whole numbers, integers, and rational numbers using a visual representation such as a Venn diagram to describe relationships between sets of numbers; 6.2Bidentify a number, its opposite, and its absolute value; 6.2C locate, compare, and order integers and rational numbers using a number line; 6.2D order a set of rational numbers arising from mathematical and real-world contexts; and 6.2E extend representations for division to include fraction notation such as a/b represents the same number as a b where b 0. 6.3 Number and operations. The student applies mathematical process standards to represent addition, subtraction, multiplication, and division while solving problems and justifying solutions. The student is expected to: 6.3A recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values; 6.3B determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one; 6.3C represent integer operations with concrete models and connect the actions with the models to standardized algorithms; 6.3D add, subtract, multiply, and divide integers fluently; and 6.3E multiply and divide positive rational numbers fluently. Most are also dual-coded to include the process standards as well (6.1 A-G) This set of task cards has been created without a background image to save ink! Simply print on colored cardstock and laminate for continued use each year.
Card 1 (6.2A) In which categories would the following values fall? Select from rational, integer, and/or whole number. Use the Venn Diagram to help you. -2 Rational Integer Whole Card 2 (6.2A) In which categories would the following values fall? Select from rational, integer, and/or whole number. Use the Venn Diagram to help you. 1 Rational Integer Whole Card 3 (6.2A) In which categories would the following values fall? Select from rational, integer, and/or whole number. Use the Venn Diagram to help you. Rational 1 3 Integer Whole Card 4 (6.2A) In which categories would the following values fall? Select from rational, integer, and/or whole number. Use the Venn Diagram to help you. -4.5 Rational Integer Whole
Card 5 (6.2B) Which numbers have an absolute value of 7? a) -7 b) 7 c) Both -7 and 7 Card 6 (6.2B) If you used -25 to represent 25 feet below sea level, what would 0 represent? Card 7 (6.2B) What is the value of 3.5? a) -3.5 b) 3.5 c) -0.35 d) 0.35 Card 8 (6.2B) What is the value of - 3 + 4? a) -1 b) 1 c) -7 d) 7
Card 9 (6.2C) Using the number line below, order the rational numbers from least to greatest. -3, ½, -1.5, 2 1 3, 0.2 Card 10 (6.2C) Using the number line below, order the rational numbers from least to greatest. 5 2, 31 2, -0.45, -4.5, 0.52 Card 11 (6.2C) Using the number line below, order the rational numbers from least to greatest. - 1 3, 1.5, - 11 4, 21 5, 5 4 Card 12 (6.2C) Using the number line below, order the rational numbers from least to greatest. 6 3, -1.75, 3 4, 2.2, - 8 3
Card 13 (6.2D) Jamie picked 5 slips of paper with values on them. She needs to order them from greatest to least. Which value would be the 3 rd in the list? 1, -0.75, 2, -33.3%, 0.1 2 5 Card 14 (6.2D) Jennifer has a balance of -$5.40 in her checking account and Jack has a balance of -$7.25. Write an inequality statement showing who has less money and explain. Card 15 (6.2D) Which of the following lists of numbers is in order from least to greatest? Card 16 (6.2D) Which of the following lists of numbers is in order from greatest to least? a) -5, 1, 0, 2, 4 4 3 1 b) 4 3 c) 0, 1, 4, 2, -5 4 3 d) -5, 0, 1, 4, 2 4 3 a) -3, 3 4, 0, 3, 5 2 b) 3, 0, 3 4, 5 2, -3 c) 3, 5, 3, 0, -3 2 4 3 d), 0, -3, 3, 5, 4 2
Card 17 (6.2E) A group of 3 friends are sharing 2 pounds of chocolate at a picnic. Write a division problem and a fraction to show this situation. Then, solve to find the amount of chocolate that each friend receives. Card 18 (6.2E) Sarah has 2 cats and 4 dogs. She has $27 to spend on pet toys at the store and wants to get one for each pet. How much can she spend on each animal? Write your answer as a fraction and as an amount in dollars/cents. Card 19 (6.2E) Jason and his 3 roommates share the cost of the $125 electric bill evenly. Write a fraction to show how much each person will have to pay. Then, solve to find the amount in terms of dollars and cents that each roommate will have to pay. Card 20 (6.2E) How would you classify the value 27 3? a) Whole number b) Integer c) Rational number d) Whole, integer, and Rational number
Card 21 (6.3A) How many tenths are there in the fraction 4 5? a) 4 b) 5 c) 8 d) 10 Card 22 (6.3A) Eight people share 1 pound of trail mix. 2 What fraction of a pound does each person receive? a) 1 8 pound b) 1 2 pound c) 1 16 pound d) 2 8 pound Card 23 (6.3A) Josie made a bowl of fruit salad for a party. Her brother ate 1 of the fruit before her 3 friends came over. Which expression describes the amount of fruit salad each of Josie s 6 friends will be able to eat? Card 24 (6.3A) Richard divides 3 by 1 and Rashad 4 2 divides 3 by 1. Which friend will get the 4 8 greater quotient? Why? a) 6 1 3 1 b) 6 3 c) 6 2 3 2 d) 6 3
Card 25 (6.3B) Without solving, tell whether the product will be greater than or less than the original factor. Card 26 (6.3B) Without solving, tell whether the product will be greater than or less than the original factor. 1 2 x 3 4 2 1 4 x 1 4 Card 27 (6.3B) Without solving, tell whether the product will be greater than or less than the original factor. 10 x 5 4 Card 28 (6.3B) Without solving, tell whether the product will be greater than or less than the original factor. 1 8 x 8
Card 29 (6.3C) Which expression has the same value as -4 + (-3)? a) -4 3 b) 4 + 3 c) -4 (-3) d) 3 + (-4) Card 30 (6.3C) Which of the following expressions has the greatest value? a) -3 + 7 4 b) 3 7 4 c) -3 + 7 (-4) d) 3 (-7) + 4 Card 31 (6.3C) Model the expression -4 + 6 on the number line below: What is the sum of the two integers? Card 32 (6.3C) Which number can you add to 7 to get a sum of -2? a) 5 b) -5 c) 9 d) -9
Card 33 (6.3D) Romy started with $50 in his savings account. On Monday, he deposited $75. A few days later, he withdrew $20. On Friday he deposited $220 and $35. How much should he deposit if he wants to have at least $500 in his account? a) $40 b) $100 c) $140 d) $360 Card 34 (6.3D) A hiker is 345 feet above sea level and a diver is 35 feet below sea level. How far apart are they? a) 310 feet b) 380 feet c) -310 feet d) -380 feet Card 35 (6.3D) Cara is climbing down the side of a mountain that is 500 meters high. If it took her 10 minutes, how many meters per minute did she travel? a) 5 meters per minute b) 10 meters per minute c) 50 meters per minute d) 5000 meters per minute Card 36 (6.3D) Which expression will result in a positive number? a) A positive number multiplied by a negative number b) A negative number divided by a positive number c) A positive number divided by a negative number d) A negative number multiplied by a negative number
Card 37 (6.3E) A rectangular garden has a width of feet and an area of 143.5 square 10 1 4 feet. What is the length of the garden? a) 13 feet b) 14 feet c) 15 feet d) 16 feet Card 38 (6.3E) Jerry has 155 pennies. Mark has 1 2 5 times as many pennies in his jar. How much money is in Mark s jar? a) $1.55 b) $2.14 c) $2.17 d) $2.95 Card 39 (6.3E) Michael uses paper clips that are 3 inch long 4 and lays them in a straight line from end to end that measures 30 inches in length. If each paper clip costs $0.04, what is the cost of the paper clips he used for his project? a) $1.34 b) $1.60 c) $1.95 d) $2.79 Card 40 (6.3E) In preparation for a party, Alex bought 50 candles for $0.45 each. His sister bought 140 candles for the same price. How much more money did she spend on her candles? a) $22.50 b) $40.50 c) $63.00 d) $85.50
Answer Key 1. integer/rational 2. Whole/integer/rational 3. Rational 4. Rational 5. C 6. At sea level 7. B 8. A 9. -3, -1.5, 0.2, ½, 2 1/3 10. -4.5, -0.45, 0.52, 5/2, 3½ 11. -11/4, -1/3, 5/4, 1.5, 2 1/5 12. -8/3, -1.75, ¾, 6/3, 2.2 13. 0.1 14. -7.25<-5.40 15. D 16. C 17. 2/3; 2 3, 2/3 lb 18. 27/6; $4.50 19. 125/4; $31.25 20.D 21. C 22. C 23. D 24. Rashad; he is dividing ¾ into smaller pieces than Richard. 25. Less than 26. Less than 27. Greater than 28. Greater than 29. A 30. D 31. 2 32. D 33. C 34. B 35. C 36. D 37. B 38. C 39. B 40. B
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