6th Grade Objective 1.04 Corrective Instruction Problems
1. Ten students went to a pizza parlor together. They 2. Sarah and her uncle, Takota, went fishing in the Grand 3. Brainstorm and write five fractions between 4. The chess club is cleaning a very littered
ordered eight small pizzas. River, and each caught one fish. Sarah’s fish was 5/8 of a 8/10 and 5/4. section of highway. Each day the members
a) How much will each student receive if they share the foot long and Takota’s was 2/3 of a foot long. Which is clean 1 ¾ miles of highway. After four days of
pizzas equally? Express your answer as a fraction and as longer? Explain. hard work, Lakeisha says they have cleaned
a decimal. If Sarah and Takota measured their fish in decimals, 28/4 miles of highway. Glenda says they have
b) Explain how you thought about the problem. Draw a would it be easier for them to tell which fish is longer? cleaned 7 miles of roadway. Who is right?
picture that would convince someone that your answer is Explain. Why?
correct.
5. The Lappans buy three large sandwich wraps to serve 6. Three neighbors are sharing a rectangular strip of land 7. A store offers a discount of 30% on all 8. Bryce and Rachel are collecting food for the
at a picnic. Nine people in all will be at the picnic. Show of for a garden. They divide the land into 24 equal-sized reference books. local food bank. Bryce’s goal is to collect 32
three different ways to cut sandwiches so that each pieces. What fraction of the land does each person get if a) If a dictionary costs $12.00 before the items. Rachel’s goal is to collect 24 items.
person gets an equal share. they share it equally? Write the answer in more than one discount, what is the amount of the discount? Suppose Rachel and Bryce each meets their
way. b) If a book on insect identification originally goal. What fraction of Bryce’s goal does
costs $15.00, how much will you have to a pay Rachael collect?
for it?
9. A survey asked cat owners, “Does your cat have bad 10. Billie goes to the fabric store to buy material and 11. Gregory walks 1.8 miles from his home to 12. Julie has a bread recipe that calls for 1.75
breath?” Out of the 200 cat owners’ surveyed, 80 other items she needs for a project. She has $16.95 to school. Halfway between his home and school pounds of flour.
answered yes to this question. What percent of the cat spend. The material costs $8.69. A container of craft glue there is a music store. This morning, he wants a) She wants to make this recipe three times.
owners answered no? costs $1.95. A package of craft paper is $4.29. to stop at the store before school. Right now he How much flour does she need?
a) Estimate how much it will cost to buy the material, is 0.36 miles away from home. b) She has no flour at home. How many 5-
glue, and craft paper. a) How much more does he need to walk, in pound bags of flour should she buy to make
Billie also finds a package of ribbon that cost $2.89. miles, to get to the store? the recipe three times?
Based on your estimate in part (a), how much more b) How many miles does he have left to walk to C) A ton is 2,000 pounds. Estimate how many
money does she need if she buys the ribbon? Explain. school? loaves of bread she could make with a ton of
flour.
13. Aaron plans to buy new flooring for his rectangular 14. Tom plants corn in 0.4 of his vegetable garden. Of the 15. Ashley eats five 5.525-ounces slices of 16. Li Ming’s allowance for transportation is
office. His office is 7.9 meters by 6.2 meters. corn section, 0.75 is early sweet corn and the rest is later- watermelon in a contest at the picnic. How $12.45. How many times can she ride the bus
A) How many square meters of floor space does his maturing sweet corn. many ounces of watermelon does she eat? if it costs $0.75 a trip?
office have? a) What part of his garden does Tom plant in early corn?
b) Suppose flooring costs $5.90 per square meter. How b) What part does he plant in late corn?
much will the new flooring cost for Aaron’s office?
17. Akiko’s dog has three puppies. They weigh 2.6 18. Angie is making wreaths to sell at a craft show. She 19. Arif and Keisha go to a restaurant for dinner. 20. Last season Farmer Sam picked 1 ¾
pounds, 2.74 pounds, and 3.1 pounds. How much more has 6.5 yards of ribbon. Each wreath has bow made from Their meals total $13.75. The sales tax is 5%. bushels of tomatoes from his kitchen garden
does the heaviest puppy weigh than the lightest puppy? 1 1/3 yards of ribbon. How many bows can she make? How much tax is added to the bill? and 14 1/3 bushels from his canning garden.
b) They wanted to leave a 15% tip based on the About how many total bushels of tomatoes did
bill and the tax combined. How much should he harvest?
they leave? Explain.
21. Phillip plans to paint a highway stripe that is 9/10 of a 22. There are 12 baby rabbits at the pet store. Gabriella 23. Suppose you mix 5/8 cup of wheat flour with 24. Maria uses 5 1/3 gallons of gas to drive to
mile long. He is 2/3 of the way done when he runs out has 5 ½ ounce of parsley to feed the rabbits as treats. 1 ¾ cups of white flour. Do you have enough for work and back four times.
paint. How long is the stripe he painted? She wants to give each rabbit the same amount. How a recipe that calls for 2 ½ cups of flour? a)How many gallons of gas does Maria use in
much parsley does each rabbit get? one round trip to work?
b)Maria’s car gets 28 miles to the gallon. How
many miles is her round trip to work?
Adapted from Connected Mathematics