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**UNIT TEST ON PROPORTIONAL REASONING**

VOCABULARY LIST UNIT TEST ON PROPORTIONAL REASONING

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**RATIO A COMPARISON OF 2 NUMBERS OFTEN WRITTEN IN FRACTION FORM**

WHAT IS THE RATIO OF GIRLS TO BOYS IN THE CLASSROOM?

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**RATE A COMPARISON OF 2 DIFFERENT KINDS OF UNITS (MILES PER HOUR)**

WRITE THE TIME PER CLASS PERIOD AS A RATE

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RATE OF CHANGE DESCRIBES HOW ONE QUANTITY CHANGES IN RELATION TO ANOTHER CAN EASILY BE SEEN BY THE CHANGES ON A GRAPH

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SLOPE RATE OF CHANGE BETWEEN 2 POINTS ON A LINE (CHANGE IN Y / CHANGE IN X)

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**PROPORTION AN EQUATION THAT SHOWS 2 EQUIVALENT RATIOS**

IF THERE WERE 50 BOYS IN THIS CLASS, HOW MANY GIRLS WOULD THERE BE? (USE THE RATIO FROM THE FIRST SLIDE)

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**DIRECTLY PROPORTIONAL**

HAVING A CONSTANT RATIO PIZZA HUT IS OFFERING PIZZAS FOR $ 10 EACH (ANY SIZE, TOPPING, CRUST). IF YOU ORDER 4 PIZZAS, HOW MUCH WILL IT COST? IS THE RELATIONSHIP BETWEEN NUMBER OF PIZZAS AND TOTAL PRICE DIRECTLY PROPORTIONAL?

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**NONPROPORTIONAL NO CONSTANT RATIO BETWEEN QUANTITIES**

NUMBER OF ITEMS ORDERED AT AN ONLINE STORE TOTAL AMOUNT PAID 10 $49.95 7 $14.87 4 $24.95 15 $ 0.89

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**INVERSELY PROPORTIONAL**

As one quantity becomes smaller, the other becomes larger. An example is the relationship between the speed and time it takes to travel a fixed distance. If you drive 60 mph, you can drive 60 miles in 1 hour. If you drive 30 mph, it will take you 2 hours to drive the same 60 miles. Speed in mph Time in hours /3 1 Inversely proportional relationships have a constant of proportionality. It can be found from a combination of the speed and time that works for all pairs of speed and time. What is the constant of proportionality for the above relationship? How does this relate to the graph of the data? How long will it take you to drive 60 miles if you drive at 2 mph? 25 mph? 65 mph? How fast must you drive to cover the 60 miles in 5 hours? 3 hours?

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SCALE FACTOR RATIO OF THE LENGTHS OF 2 CORRESPONDING SIDES OF 2 SIMILAR POLYGONS 6.25 5 8 10

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**RATIO OF AREAS = SCALE FACTOR SQUARED (TIMES ITSELF)**

RATIO OF VOLUMES = SCALE FACTOR CUBED (TIMES ITSELF TWICE) SCALE FACTOR = 4 RATIO OF AREAS = SCALE FACTOR = 3/4 RATIO OF VOLUMES =

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Algebra1 Direct Variation

Algebra1 Direct Variation

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