Modeling Addition & Subtraction Using Pictures, Words, and Numbers

1. Modeling Addition & Subtraction Using Pictures, Words, and Numbers Lesson 4 (2nd 6 Weeks) TEKS 6.2A

2. Model Shows the relationship between the fractions in the problem The model may be an actual model; such as one using colored squares; a picture, an equation, or an expression

3. Mike bought a family size bag of M&Ms. He gave ¼ of the bag to his brother and 1/3 of the bag to his mom. Which strip is shaded to represent the amount of the bag he had remaining after he gave some to his brother and mom? A. B. C. D.

4. Mike bought a family size bag of M&Ms. He gave ¼ of the bag to his brother and 1/3 of the bag to his mom. Which strip is shaded to represent the amount of the bag he had remaining after he gave some to his brother and mom? A. B. C. D. We need to figure out how much he gave away to find out how much he has left.

5. Mike bought a family size bag of M&Ms. He gave ¼ of the bag to his brother and 1/3 of the bag to his mom. Which strip is shaded to represent the amount of the bag he had remaining after he gave some to his brother and mom? A. B. C. D. We need to add together how much he gave away.

6. Mike bought a family size bag of M&Ms. He gave ¼ of the bag to his brother and 1/3 of the bag to his mom. Which strip is shaded to represent the amount of the bag he had remaining after he gave some to his brother and mom? A. B. C. D. To add the two fractions we need to find a common denominator.

7. Mike bought a family size bag of M&Ms. He gave ¼ of the bag to his brother and 1/3 of the bag to his mom. Which strip is shaded to represent the amount of the bag he had remaining after he gave some to his brother and mom? A. B. C. D. Our common denominator is 12. 1 3 3 1 4 4 x x = = 4 12 3 4 12 3

8. Mike bought a family size bag of M&Ms. He gave ¼ of the bag to his brother and 1/3 of the bag to his mom. Which strip is shaded to represent the amount of the bag he had remaining after he gave some to his brother and mom? A. B. C. D. If he gave away 7 , how much does he have left? 3 4 7 12 + = 12 12 12

9. Mike bought a family size bag of M&Ms. He gave ¼ of the bag to his brother and 1/3 of the bag to his mom. Which strip is shaded to represent the amount of the bag he had remaining after he gave some to his brother and mom? A. B. C. D. How much more do we need to add to 7 to make 12? This will make 1 whole.

10. Mike bought a family size bag of M&Ms. He gave ¼ of the bag to his brother and 1/3 of the bag to his mom. Which strip is shaded to represent the amount of the bag he had remaining after he gave some to his brother and mom? A. B. C. D. Mike has 5 left. Which model shows that? 12

11. Mrs. Kay brought a bag of assorted Halloween candy. Mrs. Kay found 1 of the candy were chocolate, 2 of the candy was gum, and 1 of the candy were suckers. Which expression represents the fraction of the candy that were not chocolate, gum or suckers? A. B. 6 5 3 1 2 1 1 2 1 1 1 - - - + C. + + 6 5 3 6 5 3 1 2 1 1 2 1 1 1 - - + - D. 1 1 - - - - - 6 5 3 6 5 3

12. Mrs. Kay brought a bag of assorted Halloween candy. Mrs. Kay found 1 of the candy were chocolate, 2 of the candy was gum, and 1 of the candy were suckers. Which expression represents the fraction of the candy that were not chocolate, gum or suckers? A. 6 5 3 1 2 1 The 1 represents the 1 bag of candy. 1 1 - - - + 6 5 3 A says we are subtracting the chocolate, and gum but adding the suckers.

13. Mrs. Kay brought a bag of assorted Halloween candy. Mrs. Kay found 1 of the candy were chocolate, 2 of the candy was gum, and 1 of the candy were suckers. Which expression represents the fraction of the candy that were not chocolate, gum or suckers? B. 6 5 3 B says we are subtracting the chocolate, but then adding the gum and then subtracting the suckers 1 2 1 1 1 - - + - 6 5 3

14. Mrs. Kay brought a bag of assorted Halloween candy. Mrs. Kay found 1 of the candy were chocolate, 2 of the candy was gum, and 1 of the candy were suckers. Which expression represents the fraction of the candy that were not chocolate, gum or suckers? 6 5 3 1 2 1 C. + + 6 5 3 C has us just adding the different types of candy. This won’t tell us what is not chocolate, gum or suckers.

15. Mrs. Kay brought a bag of assorted Halloween candy. Mrs. Kay found 1 of the candy were chocolate, 2 of the candy was gum, and 1 of the candy were suckers. Which expression represents the fraction of the candy that were not chocolate, gum or suckers? 6 5 3 D has subtracting the 3 types of candy from the whole. 1 2 1 D. 1 1 - - - - - 6 5 3

16. Mitch and Jay both were reading “The Warlock” for their book report. By Tuesday, Mitch had read 7/10 of the book and Jay had read 2/5 of the book. Which strip is shaded to show how much more of the book Mitch has read then Jay has? A. B. C. D.

17. Mitch and Jay both were reading “The Warlock” for their book report. By Tuesday, Mitch had read 7/10 of the book and Jay had read 2/5 of the book. Which strip is shaded to show how much more of the book Mitch has read then Jay has? A. B. C. D. To figure out how much more Mitch read then Jay, we need to subtract.

18. Mitch and Jay both were reading “The Warlock” for their book report. By Tuesday, Mitch had read 7/10 of the book and Jay had read 2/5 of the book. Which strip is shaded to show how much more of the book Mitch has read then Jay has? • A. • B. • C. • D. To figure out the common denominator we can just count how many pieces the whole is cut into.

19. Mitch and Jay both were reading “The Warlock” for their book report. By Tuesday, Mitch had read 7/10 of the book and Jay had read 2/5 of the book. Which strip is shaded to show how much more of the book Mitch has read then Jay has? • A. • B. • C. • D. 2 2 4 7 4 3 x - = = 5 2 10 10 10 10

20. Rick calculated the sum of 3 and 1 . Which best describes the error in the calculation? Error in rewriting the sum in reduced form Error in adding the numerators of the equivalent fractions Error in determining the common denominator Error in generating equivalent fractions with a common denominator 8 6 3 1 9 3 12 1 + = + = = 8 6 24 24 24 2

21. Rick calculated the sum of 3 and 1 . Which best describes the error in the calculation? • Error in rewriting the sum in reduced form 8 6 3 1 9 3 12 1 + = + = = 8 6 24 24 24 2 12 12 1 That is correct. ÷ = 24 12 2

22. Rick calculated the sum of 3 and 1 . • Which best describes the error in the calculation? • Error in adding the numerators of the equivalent fractions 8 6 3 1 9 3 12 1 + = + = = 8 6 24 24 24 2 That is correct. 9 + 3 = 12

23. Rick calculated the sum of 3 and 1 . • Which best describes the error in the calculation? • Error in determining the common denominator 8 6 3 1 9 3 12 1 + = + = = 8 6 24 24 24 2 8: 8 , 16 , 24 That is correct. 6: 6 , 12 , 18 , 24

24. Rick calculated the sum of 3 and 1 . Which best describes the error in the calculation? • Error in generating equivalent fractions with a common denominator 8 6 3 1 9 3 12 1 + = + = = 8 6 24 24 24 2 3 3 9 1 4 4 x x = = 8 3 24 6 4 24 That one is correct. D is my answer