3 x 5 is greater than 5. x 8 is greater than 8. 1 x 10 is less than 10 x 7 is less than 7. x 21 is less than 21. x 4 is greater than 4 3 = = =

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2 x 8 is greater than 8 5 x 5 is greater than 5 x 0 is less than 0 x 7 is less than x is less than x is greater than 5 6 = x = x5 x5 7 8 x6 = = x6 8 x x 9 0

3 . Edward had 0 baseball cards. If he gave equal numbers of cards to his 8 friends and kept what was left, how many cards did each person get?. If Randy shared apples between 8 people in her class and kept the leftovers, how many apples did each classmate get?. If Carlos divided 5 pencils between 5 people in his class and kept what was left, how many pencils did each person get?. Apple slices come in packages of. Denise ate slices. How many whole packages of apple slices did she eat and how many apple slices does she have left? 5. Steven wants to split a collection of model cars into groups of 6. He has cars. How many groups of 6 can be created? 6. Bonnie has 0 tickets. If she shares them among friends, how many tickets does each friend get? 7. Ashley is inviting 8 friends to a party. She has dozen cookies. She plans to share them equally and give the ones leftover to her brother. How many cookies will each friend get? How many will she have to give to her brother? 8. Fruit snacks come in a box of 7. Travon ate 5 fruit snacks. How many whole boxes did he eat and how many fruit snacks does he have left?

4 . When Max got home from school yesterday, he went into the kitchen to get a snack. There was of a pan of brownies on the counter. Max ate of what was left. What part of the pan of brownies did Max eat?. Brittany s mom had a big garden last summer. She planted corn and tomatoes in of the garden. She planted lettuce in of the garden. She used of the last of the garden for flowers. How much of the garden did she use for flowers?. Dontrelle was getting a new rug for his bedroom. His dad said that the rug would cover of half the floor. How much of the floor did the rug cover?. Maria had 8 7 of a box of candy left from her birthday. She gave half of what she had left to her little sister. How much of the box of candy did her little sister get? 5. Marco had 8 of a pizza left from dinner the night before. He gave half of what was left to a friend. How much of a pizza did his friend get?

5 Dividing Fractions Using Pattern Blocks Make a flip chart as the one provided making sure you have three sections to work with. Draw a Dividing Fractions Problem Card. Write the problem number in the corner of one of your outside sections. Use the fraction pattern blocks to model the problem. (Use the hexagon as one whole.) After modeling the problem, trace the model on the front part of one of the sections. Open the first fold. On the top part of the fold, write the answer to your problem. On the bottom part, explain how you got your answer. Remember when dividing a fraction by a fraction to read the problem as saying How many 6 are in? 6 is the same 5.NF.6

6 Flip Chart for Dividing Fractions Using Pattern Blocks

7 . Bill, Rasheed, and Juan own a hobby 5 shop. Juan owns of the shop. Rasheed 8 owns twice as much as Bill. What fraction of the shop does Bill own?. Chef Lee made a recipe of soup which yields 0 cups. If he puts cups of soup in each serving, how many servings does he have?. It is miles around Westwood Park s bike trail. After skating the trail 5 times, Bonnie lost a wheel. About how many miles had she skated?. Show how to divide rectangular candy bars so that three friends may share them equally. What fractional part of a candy bar will each receive?

8 5. For a fund raiser, the sixth grade boxed 5 pounds of pecans. If each box weighed of a pound, how many boxes were there? 6. A package of ground beef weighs lb. A second package weighs lb. Together will there be enough to make 6 quarter-pound hamburgers? Explain how you know. 7. Show how to divide half a watermelon Into equal pieces. What fractional part of the whole melon does each piece represent? 8. Draw a rectangle. Shade the rectangle to show of. What fractional part of the polygon is of?

9 9. The Titanic is miles below the 5 surface of the Atlantic Ocean. If you dive at the rate of miles per hour, how long would it take you to get to the ship? 0. Coach Jones has been cutting ribbons to attach to award medals. She has of a yard left. When two give their ribbons to Coach Jones, she has a total of of a yard. What length of ribbon would be needed to make seven student award medals?. Mrs. Smith has of an acre of yard. She plants grass on of it. What fractional part of an acre is Mrs. Smith s grass?. Each pizza crust uses 8 5 cups of flour. If you have 5 cups of flour, how many pizzas can you make?

10 7. The distance around the lake is 8 miles. If Eve rides her bike around the lake three times, how far will she have pedaled?. Marie is making picture frames that are 5 inches wide and 6 inches long. She puts silver ribbon around the edge of each one. If she makes of them, how many feet of ribbon will she need? 5. After Annie s birthday party, there were pizzas left. Marie gave half of the leftover pizza to her friend to take home. Annie ate of what was left. How much pizza did she eat? 6. A recipe to make 5 dozen cookies calls for: cups of flour cups of sugar cups of peanut butter cup of butter

11 Answer Key for Cards. Bill owns 8, Rasheed owns 8, and Juan owns servings. Best estimate might be miles x 5 trips or miles. Dividing each bar into fourths makes a total of 9 fourths. Each friend can have 5. 5 boxes. 6. The hamburger is only enough for 5 quarter-pound hamburgers. 7. Diagrams will vary. Answer is 8. of = or. hours or hrs min of a yard. One half of an acre is planted with grass. pizzas miles. feet 5. Annie ate one-third of a pizza 6. cups of flour cup of sugar cup peanut butter cup butter

12 Cards Choose a Card. On the paper provided, summarize the problem. Using numbers or models solve the problem and explain in words how you got your answer. Repeat the above steps more times. Activities from NCDPI 6 th Grade Week-by-Week Essentials 5.NF.6

13 Fraction True or False Draw a card. Write the number of the problem down on your paper. Read the statement on it. Is the statement true or false? Write whether you think the statement is true or false and why? Repeat the steps above four more times. of is greater than 5.NF.5b

14 Fractions as Division Problems Fractions are actually division problems. 6 (For example: 5 is the same as 6 5.) Draw three rectangles on your paper. Divide each rectangle into parts. Draw a word problem card. Write the number of the problem in the first part of the rectangle. Write the problem as a fraction in the second part of the rectangle. Solve the problem in the third part. On the back of your paper, pick one of the problems and explain:. Why you wrote the fraction you did in the second part?. How do you write the answer to your problem as a fraction or mixed number and why? 5.NF.

15 Materials List for Fifth Grade Centers Name of Activity Standard Materials Needed Dividing Fractions Using Pattern Blocks Cards 5.NF.6 5.NF.6 Dividing Fractions Using Pattern Blocks Cards for Dividing Fractions Using Pattern Blocks Pattern Blocks (including Fraction Blocks) Fraction Bars can be used Flip Chart for Dividing Fractions Using Pattern Blocks (Pictures included) Paper Pencil Cards (includes answer key) Activity Paper Any Manipulatives you see fit Fraction True or False 5.NF.5b Fraction True or False Cards for Fraction True or False Fractions as Division Problems 5.NF. Fractions as Division Problems Cards for Fractions as Division Problems Multiplying Fractions on the Geoboard Parts of Parts and 5.NF.6 5.NF.6 Multiplying Fractions on the Geoboard Cards for Multiplying Fractions on the Geoboard Geoboards Different colored rubber bands Paper Pencil Parts of Parts Parts of Parts Square In Graph Paper colors of counters Paper Pencil

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20 Multiplying Fractions on the Geoboard Work with a partner. Choose one of the story problems and do the following. Write the problem number on the paper provided. Record an estimate. What do you think the answer will be and why? Use the geoboard to solve the problem. Draw what your solution looked like on the geoboard on your paper. Write a description of what happened that includes the answer. Write a multiplication equation to match. From Bridges in Mathematics Grade 5 Supplement 5.NF.6

21 Parts of Parts Use the inch grid paper and cut a x grid to work the following problems. From Scholastic Mega-Fun Fractions 5.NF.6

22 Parts of Parts Use the inch grid paper and cut a 6 x 6 grid to work the following problems. From Scholastic Mega-Fun Fractions 5.NF.6

23 Name Square-Inch Grid Scott Foresman-Addison Wesley