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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

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
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?
solving proportional equations1
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

how would you isolate the variable without creating a drawing
How would you isolate the variable without creating a drawing?

CHECK!

Are these equivalent fractions?

(7)

(7)

Use the Distributive Property

how would you isolate the variable without creating a drawing1
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:

how would you isolate the variable without creating a drawing2
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…