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Learning Goal

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Solve multi-step real-life and mathematical problems with positive and negative rational numbers

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7.EE.B.3

7.EE.B.3 -- Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.

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7.EE.B.3 -- Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.

What you'll learn

  1. Identify the operations and sequence of steps needed to solve a multi-step real-world problem
  2. Select appropriate forms of rational numbers (fractions, decimals, or whole numbers) for each step
  3. Convert between forms of rational numbers strategically to simplify computation
  4. Apply properties of operations to calculate efficiently with mixed-form rational numbers
  5. Use mental computation and estimation to assess whether an answer is reasonable
  6. Communicate a solution strategy clearly, explaining each step's purpose

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1

Solving multi step problems

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