# "Make the Equation" Puzzles using Fractions

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Common Core Standards
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Given 3 numbers and an answer, how can you create an expression using each number exactly once which equals the provided answer? For example: Use the numbers 1/100, ½ and 50 to create an expression equal to 4950. The operators +, -, x, ÷ can be used. Similar to the game “24”, but these puzzle use fractions and the answers vary.

The first 10 problems use whole numbers written as fractions (2/1, 3/1, and 4/1) to help reinforce fraction arithmetic skills: Students are can check their work using the whole numbers.

The remaining problems use benchmark and base 10 fractions to build fluency which can be extended to decimals and percents.

The .ZIP file includes 3 Microsoft Word .DOCX files:

1. MakeTheEquation_Fractions_CardDeck: The puzzles are formatted as double-sided cards with answers on the back. PRINTING INSTRUCTIONS: When printing, print double-sided and DO NOT adjust the margins. No content will be cut off; the card deck file use table cell margins instead of paper margins.

2. MakeTheEquation_Fractions_1perpage: One puzzle printed per page. For use posted on wall.

3. MakeTheEquation_Fractions_QandAnswerKey: A compact list of the puzzles and answers. For your reference, or cut and paste puzzles to use on your worksheets or quizzes.

Use these problems as challenge problems, or extra credit or work for early finishers. Keep the deck or the list at the front of the room to use as a whole-class break from other work.

Or, post 1 (or 10) of them on your classroom wall. A colleague of mine has students write down their solutions and hand them in. At the end of the week, she picks a winner from among the correct answers.

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