6. Circle fractions that are more than.

Transcription

1 Standard: 18.NF.1 explain why a fraction a/b is equivalent to a fraction (n x a/n x b) by using visual fraction models with attention to how the number and size of the parts differ even though the two fractions themselves are the same size; use this principle to recognize and generate equivalent fractions 19.NF.2 compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model 1. Chloe made a pan of brownies. Her brother ate 4 of the brownies. Which fraction represents the amount eaten? Shade the diagram to show your answer. A. 5/9 2. Which picture shows 2/3? A. B. B. 4/5 C. 4/9 D. 9/4 C. D. 3. A pie is cut into 8 pieces. ¾ of the pie has been eaten. What fraction of the pie is left? Prove. A. 2/8 B. 2/6 C. 6/8 D. 4/8 4. Which of the following is NOT an equivalent fraction for ½? A. 6/12 B. 2/4 C. 8/10 D. 50/ Plot the following fractions on the number line below: and 6. Circle fractions that are more than. Put an X on fractions less than

2 7. Look at the model below and find the model that shows an equivalent fraction. Then write a fraction for each picture. 8. Ava, Kierra, and Victoria ate exactly three-fourths of their candy bars. Ava ate 3 pieces, Kierra ate 6 pieces, and Victoria ate 9 pieces. How is this possible? Explain how you got your answer using pictures and words. ******************************* A. B. C. D.

3 9. Jayden used 20 colored tiles to make a design above his stove. 15/20 of his tiles were green. What is an equivalent fraction for the green tiles? A. C. B. D. 10. The fraction strips show. Which is an equivalent fraction? A. 2/3 B. 5/6 C. 8/10 D. 9/ Which symbol makes this sentence true? 2/4 2/8. Shade the diagram to prove your answer. 12. Which sentence is NOT true? a. > b. < A. > C. = B. < D. + c. > d. < 13. Ingrid bought 6 gallons of juice. One-half are orange juice. One-third is apple juice, and the rest is grape juice. Is there more orange juice, apple juice or grape juice? _ Explain your solution using pictures and words.

4 CHALLENGE 14. Which fraction is closest to one whole? a. c. b. d. Explain or show how you know. 15. Anthony ordered a personal pan pizza. It was cut into 4 pieces, and he ate 2 of them. His brother Dieon ordered a medium pizza and ate 4 of the 8 pieces. Anthony says they both ate the same amount because and both equal. Is Anthony correct? Explain how you know. 16. Put in order from least to greatest:,,, Prove your answer by plotting the fractions on the number lines. Decide which two fractions to plot together on each number line. Label each fraction. 17. Zemyah and her sister decorated a dozen eggs. They colored of the eggs blue, of the eggs yellow, and of the eggs green. Were there any eggs left to color pink? Of which color do they have the most eggs? Prove your answers.

5 Answer Key 1. Chloe made a pan of brownies. She and her brother each ate 2 brownies. Which fraction represents the amount eaten? Shade the diagram to show your answer. A. 5/9 B. 4/5 C. 4/9 2. Which picture shows 2/3? A. B. C. D. 9/4 D. 3. A pie is cut into 8 pieces. ¾ of the pie has been eaten. What fraction of the pie is left? Prove. A. 2/8 B. 2/6 C. 6/8 D. 4/8 4. Which of the following is NOT an equivalent fraction for ½? A. 6/12 B. 2/4 C. 8/10 D. 50/ Circle fractions that are more than. Put an X on fractions less than

6 7. Find the equivalent fraction for the picture represented. Write a fraction for each picture. 4/5 8. Ava, Kierra, and Victoria ate exactly three-fourths of their candy bars. Ava ate 3 pieces, Kierra ate 6 pieces, and Victoria ate 9 pieces. How is this possible? Explain how you got your answer using pictures and words. ******************************** A. 9/15 B. 12/15 C. 7/10 _Ava s candy bar was cut into 4 pieces and she ate 3 of them (3/4). Kierra s candy bar was cut into 8 pieces, and she ate 6 of them. 6/8 = 3/4. Victoria s candy bar was cut into 12 pieces, and she ate 9 of them. 9/12 = 3/4. D. 6/12

7 9. Jayden used 20 colored tiles to make a design above his stove. 15/20 of his tiles were green. What is an equivalent fraction for the green tiles? A. C. B. D. 10. The fraction strips show. Which is an equivalent fraction? A. 2/3 B. 5/6 C. 8/10 D. 9/ Which symbol makes this sentence true? 2/4 2/8. Shade the diagram to prove your answer. 12. Which sentence is NOT true? a. > b. < A. > C. = B. < D. + c. > d. < 13. There is more orange juice. 1/2 of 6 is 3, so 3/6 of the juice is orange juice (1/2 = 3/6). 1/3 =2/6, so 2 of the gallons are apple juice. There is more orange juice. Or Or Or Ap Ap Gr

8 CHALLENGE: Teachers may use the challenge questions to differentiate instruction. Advanced students may be required to answer them; other students may use the questions during guided reading groups with varying levels of scaffolding 14. a. c. b. d. One possible explanation: Think about how big the pieces are that are left over the smaller the left over piece, the closer to one whole. The first 3 fractions have only one piece left over. 1/5 is larger than 1/6, which is larger than 1/10, so 1/10 is the closest of the first three choices. 5/8 has 3 pieces left over, so it s 3 pieces away from being 1 whole. 5/8 is also very close to 4/8, so it s just a little more than half. It would not be close to one whole. 15. Anthony is incorrect. Fractions are only equal if the size of the whole is the same. Anthony s 2/4 equals 1/2, but it is much smaller than Dieon s 4/8 because Anthony s personal pan pizza is much smaller than a medium pizza. Even if both boys ate ½, they didn t eat the same amount. Anthony s pizza Dieon s pizza 16. Put in order from least to greatest: 17. If they divide the 12 eggs into 4 equal groups to make 1/4, there will be 3 in each group. 3 of the eggs are blue. If I divide the 12 eggs into 3 equal groups (1/3), there will be 4 in each group. 4 eggs are yellow. If I divide the eggs into 6 equal groups (1/6), there will be 2 in each group. 2 eggs are green = 9. Yes, 3 eggs can be pink because = 12. They have the most yellow eggs. b b b g y y p p p g y y 0 1