Do Now Please write this in your math journal: Percent: the number of parts per 100. Percent Change: the ratio that compares the amount of change to the original amount. Percent Increase: the percent a quantity increases from its original amount. Percent Decrease: the percent a quantity decreases from its original amount. Percent Error: the ratio that describes how far an estimate is from the actual amount.

Fast-forward years. You’ve finished your schooling and one thing you want to do is buy a house. You find one you like and the cost is $190,000. Most house loans are 30-year loans. How much money do you think you will pay for the house, once you add in the interest due on your loan of $190,000? House Price: $190,000 Interest Paid over 30 years: $ 156,574 Total Cost: $346,574

Unit 8 Problem Solving With Proportional Relationships Learning Objectives: Set up and solve multi-step problems involving: –Simple interest and tax problems –Markups, markdowns, and discounts –Gratuities, commissions, and fees –Percent increase and decrease and percent error

Percent of Change Learning Objectives: - Find percent increase and decrease Vocabulary: Percent: the number of parts per 100. Percent Change: the ratio that compares the amount of change to the original amount. Percent Increase: the percent a quantity increases from its original amount. Percent Decrease: the percent a quantity decreases from its original amount. Percent Error: the ratio that describes how far an estimate is from the actual amount.

Percent of Increase and Decrease

The result is a decimal. How do we change a decimal to a percentage?

Let’s practice. 1.Find the percent of increase: 10 to When the first U.S. census was taken in 1790, the population was 3,939,300. Today, our population is approximately: 323,000,000. Find the percent of increase. Round to the nearest percent. (Remember – we have to write the decimal as a percent)

A student took a math test at the beginning of her 7 th grade year and scored 63 points out of 100. At the end of the year she took a similar test and scored 91 points out of 100. Find the percent of increase in her test score

Given what we’ve learned about finding the percent of increase, see if you can determine the percent of decrease for the below problems to In 1967, there were 3,384 drive-in movie theaters in the United States. In 1997, there were 360 drive-in theaters. Find the percent of decrease in the number of drive-in theaters. Round to the nearest 10 th. Determine each percent of change. Round to the nearest 10 of a percent. Label your answer increase or decrease. 3.5 to 1 ¼ to

Wrapping Up Take one minute to think about what you learned during today’s lesson. After a minute, share your thoughts with your neighbor. Be prepared to share what you learned with the class

Summary You should know: - how to find percent increase and decrease (percent of change) In Your Planner: Homework: Page Problems 1, 2, 7, 8, 10, 11, 17, 21, 22, 28. You will run in to many obstacles in life. Don’t get discouraged. Don’t limit yourself by not giving 100% to everything you do. Bring a Calculator.

Activity Materials – Balloons, white board, dry erase marker and eraser. Divide into groups of 3. Blow up 3 balloons and tie them. Place 1 desk in the middle of your group, with all group members standing. Goal is to keep all 3 balloons in the air without any hitting the ground. One member of the team will be given a problem to work. When answered correctly, the team member returns to the balloon task and the next team member is given a math problem to work. Each team member must show their work on the white board. If the team member doing the math problem needs help, they must ask the other two team members. The two team members can answer, but must keep their balloons in the air.