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Solving Proportional Equations

Solving Proportional Equations . Saturday, June 7, 2014 We are learning to…solve problems that involve proportional reasoning. When is using the Equivalent Ratios Method not a good idea?. Terri eats 13 grapes in 23 minutes. At this rate how many grapes will she eat in 37 minutes?

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Solving Proportional Equations

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  1. Solving Proportional Equations Saturday, June 7, 2014 We are learning to…solve problems that involve proportional reasoning.

  2. When is using the Equivalent Ratios Method not a good idea? • Terri eats 13 grapes in 23 minutes. At this rate how many grapes will she eat in 37 minutes? • Solve this proportional reasoning problem using the Equivalent Ratios Method. • When might using the equivalent ratios method not be the best way to find the solution to a proportional relationship problem?

  3. Solving Proportional Equations • Today we are going to use our equation solving skills to solve proportional relationships. • When solving equations: • To eliminate ADDITION we used: • To eliminate SUBTRACTION we used: • To eliminate MULTIPLCATION we used: • To eliminate DIVISION we will use: • The goal when solving any equation is to isolate the variable. SUBTRACTION ADDITION DIVISION MULTIPLICAT`ION

  4. How would you isolate the variable for the equation ? 1/3x (3) (3) = 1/3x x 1/3x CHECK:

  5. How would you isolate the variable without creating a drawing? CHECK! Are these equivalent fractions? (7) (7) Use the Distributive Property

  6. How would you isolate the variable without creating a drawing? CHECK! Are these equivalent fractions? (4) (4) Multiply by the Numerator: Divide by the Denominator:

  7. How would you isolate the variable without creating a drawing? Multiply by the Numerator: Divide by the Denominator: (5) (5) How many times does 9 go into 40 without going over? 4 whole times (36), with 4 left over So…

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