Unit Rates and ProportionsKathleen Kent

How can we use unit rates and proportions in real life?

Class Survey Have you ever played a game in which you collect

money for completing different tasks? (Examples include Jurassic Park Builder, Ice Age

Village, Bejeweled Blitz, Monopoly, etc.)

A – yes B – no

Do you have a strategy when playing these games? A – yes B – no

Unit Rates Think Fractions! In a unit rate, the bottom number is ALWAYS 1! Example: minimum wage is $7.25/hour

Unit Rates – Problem 2

A – 30 miles per inch B – 15 miles per inch C – 30 inches per mile D – 15 inches per mile

Proportions Set up two equivalent rates in order to solve for an

unknown Cross multiply to find the unknown Always be consistent with ratios! Example: 5 apples / 4 oranges = 3 apples / x oranges

Solving Proportions - Problem 2

A – a =9 B – a = 3 C – a = 18 D – a = 2

Class Project Which game would you like to analyze to find uses of

unit rates and proportions? A – Jurassic Park Builder B – Temple Run C – Bejeweled Blitz

Jurassic Park Builder Considerations

Which dinosaurs earn the most money per minute? If one dinosaur makes 5000 coins and another 10000

with a 4% bonus, how much of a bonus do I need to make the first dinosaur earn the same amount as the second?

If I upgrade my crops harbor, will I be making more food in less time? Does the production increase or decrease?

Temple Run Considerations

Is it better to buy the one time use Resurrection Wings or save up for the ultimate ones?

What is the best upgrade and why? Who collected the most coins per meter?

Sara – 455 coins in 1000 meters Bob – 100 coins in 250 meters June – 248 coins in 500 meters

Bejeweled Blitz Considerations

Which colored gem earns the most money? How do special gems (Kanga Ruby, Phoenix, Blazing

Steed, etc.) affect the cost and the score system? Do I earn more points with a fire gem or a lightening

gem? How do I earn the most coins in a minute?