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- Estimate the sums. Then solve the following problems using pencil and paper. Show your work. Check to see if your answers are reasonable.
- 2 + 3 =
- 2 + 1 =
- 4 + 2 =
- Explain how you know your answer for Question 3D is reasonable.
Use mental math or paper and pencil to solve the problems. Use an estimate or fraction circle pieces to check the reasonableness of your answers. Write your answers in simplest form. Do not leave any improper fractions.
- Ana ran 1 miles at soccer practice on Monday and 1 miles on Tuesday. How many miles did she run in total? Did she run closer to 2, 3, or 4 miles?
- Rosa has 3 inches of ribbon. Luis has 2 inches of ribbon. They need 6 inches for a project. Will they have enough if they combine ribbons? Explain how you decided.
- Jerome had leftover snacks to add to a snack mix. He put 3 cups of pretzels together with 1 cups of peanuts. How many cups did he have to add to the snack mix? Did he add about 4, 5, or 6 cups to the mix?
- Describe a method for adding mixed numbers to a partner. You may need to use some of these words: equivalent, common denominator, mixed number, improper fraction, and simplest form. Use 1 + 2 as an example to help explain this method.
Check-In: Questions 9–13
Solve the following problems using paper and pencil or mental math. Write your answers in simplest form. Do not leave any improper fractions.
- 2 + 4 =
- 4 + 1 =
- 1 + 3 =
- Look back at Question 10. Is your answer reasonable? Should it be more than 6 or less than 6? Explain.
- Show how to solve the problem in Question 11 with fraction circle pieces. Does your answer make sense?