PROPORTIONS.

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Presentation transcript:

PROPORTIONS

PROPORTIONS An equation stating that two ratios are equal.

First way to determine if a ratio is proportional… Write both ratios in simplest form and see if they are equal.

Determine whether the ratios in each pair can form a proportion by writing each ratio in simplest form.

For each class, look at the ratio of the number of students who saw a movie to the total number of students. Can the ratios form a proportion? Did You See a Movie This Weekend? Class Yes Total Number A 10 24 B 25 60

Second way to determine if a ratio is proportional… Show that a common multiplier connects their numerators and denominators.

Determine whether the ratios in each pair can form a proportion by finding a common multiplier.

Third way to determine if a ratio is proportional… Cross Products Property Found by multiplying the numerator of one ratio by the denominator of the other ratio.

Determine whether the ratios in each pair can form a proportion by using cross products.

Use any method to solve. A certain shade of green paint requires 4 parts blue to 5 parts yellow. If you mix 16 quarts of blue paint with 25 quarts of yellow paint, will you get the desired shade of green? Explain.

SOLVING PROPORTIONS

Oranges are 6 for $2.34. Find the cost of 8 oranges. FIRST METHOD…(using unit rates) Step 1: Find the unit price. Step 2: Multiply the unit price by the number of oranges.

Postcards cost $2.45 for 5 cards. How much will 13 cards cost?

Swimming goggles cost $84. 36 for a case of 12 Swimming goggles cost $84.36 for a case of 12. At this rate, how much will it cost to get new goggles for 17 members of a swim team?

Oranges are 6 for $2.34. Find the cost of 8 oranges. SECOND METHOD…(using cross products) Step 1: Set-up a proportion. Step 2: Find the cross product Step 3: Solve

Solve using cross products.

Solve using cross products.

Solve using mental math.

Solve using mental math.