Home Mathematics Modeling mathematical ideas: developing strategic competence in elementary and middle school

MORE RELATED RICH PROBLEMS TO EXPLORE

• 1. Mike’s Cycle Shop sells bicycles and tricycles. One day there are a total of 50 wheels in the store. There are the same number of bicycles and tricycles in the store. How many bicycles are available for sale in Mike’s shop that day? Show your thinking in numbers, words, and pictures! How can you convince someone you are correct?
• 2. On Joe’s farm, he raises chickens and cows. One day he counts the number of legs of all the animals on his farm, and he counts 28 feet. Joe goes to bed at 8 o’clock every night. What could Farmer Joe have for animals? Show your thinking in numbers, words, and pictures. How can you convince someone you are correct?
• 3. John’s shop sells bicycles and tricycles. One day there are a total of 176 wheels and 152 pedals in the shop. How many bicycles are available for sale in John’s shop that day? Show your thinking in numbers, words, and pictures! How can you convince someone you are correct?
• 4. Kris spent \$131 on shirts. Fancy shirts cost \$28 and plain shirts cost \$15. If she bought a total of seven then how many of each kind did she buy?
• 5. Nancy is selling hats and caps. The caps cost \$2 and hats cost \$3. She needs to make at least \$500. Write an inequality to represent the income from the hats and caps sold.
• 6. Dan and Nick want to buy their mother a birthday present next month. Dan has been saving quarters and Nick has been saving dimes in their piggy bank. Dan has saved 28 quarters and Nick has saved 40 dimes. The brothers agree to take a coin out of their wallet each day and put it in a piggy bank for their mother’s birthday present. One day, when they looked into each other’s wallets, they saw that Nick had more money than Dan. When this happened, how many days had they been saving for their mother’s gift?

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