Students will be able to:
explain whether a situation represents a proportional relationship.
use representations to find entry points into problems.
By recognizing proportional quantities, you can use what you know about proportional relationships to solve problems.
Think about how two quantities are related before you decide to use proportional reasoning to solve a problem.
When Evie is 2 years old, Josh is 6 years old.
Josh is 4 years older than Evie.
Josh is 3 times as old as Evie.
In 2 years:
When Evie is 4 years old, Josh is 8 years old.
Josh is still 4 years older than Evie.
Josh is now 2 times as old as Evie.
You cannot use proportional reasoning to solve this problem because Josh's age is not a constant multiple of Evie's age.