| Describe in detail what you need | Provide me with a lesson plan that includes a do now, mini lesson, practice, and exit ticket on the following: review how to solve problems using proportional reasoning including unit rate, scaling factors, and inverse proportionality. Mini lesson: problem-solving with proportional relationships |
| How many pages | 1 |
At the end of the lesson, students will be able to:
On the board, write the following problem:
If it takes 3 hours for 4 people to paint a house, how long will it take for 6 people to paint the same house?
Give students 5 minutes to solve the problem on their own.
Today, we will be reviewing proportional reasoning concepts including unit rate, scaling factors, and inverse proportionality.
A unit rate is a ratio in which the second term is 1. It is used to compare two or more quantities. For example, if a car travels 100 miles in 2 hours, we say the unit rate is 50 miles per hour (100/2=50).
A scaling factor is a number that scales or multiples a quantity. It is used to find a missing value in a proportional relationship. For example, if a recipe calls for 2 cups of flour to make 6 cookies, we can use the scaling factor to find out how much flour is needed to make 12 cookies.
Inverse proportionality is a relationship between two variables in which an increase in one variable results in a decrease in the other variable. For example, if we increase the speed of a car, the time it takes to travel a certain distance decreases.
Hand out the practice problems worksheet. Work through the first problem together, and then allow students to work on the remaining problems on their own or in pairs.
On the exit ticket handout, write the following problem:
A train travels 450 miles in 6 hours. What is the unit rate of the train?
Give students 5 minutes to solve the problem on their own before collecting their exit tickets.
Find a real-life situation where proportional reasoning can be applied. Write a short paragraph explaining the situation and how proportional reasoning can be used to solve it.
Today, we reviewed how to solve problems using proportional reasoning including unit rate, scaling factors, and inverse proportionality. Remember to apply these concepts in real-life situations. See you next time!