Multistep Percent Problems

Analyzing Percents

Learning Goal:

Today I will be able to convert between fractions, decimals, and percent by solving multistep percent problems to calculate tax and gratuities, markup/markdowns, commission, percent increase and decrease.

Multiple Select

Overall, how do you feeling about solving percent problems so far?

• I feel good and can work on my own most of the time.

• I can work alone most of the time but might need some assistance.

• I need more practice

• I do not understand percents

^{What are some ways that percentages are used in everyday life?}

Percentages are all around us. They are so common in our everyday lives that we may not even realize when we are using them! Can you think of a time when you have used them outside of the classroom?

​Percent %

• Remember the symbol when your write a percent: %

• Percent means out of 100

• A percent is a PART -to- WHOLE comparison

Multiple Choice

Percentage is out of ...

• 1

• 10

• 100

• 1000

Multiple Choice

37% means ....

• 37 out of 10

• 37 out 0f 1

• 37 out of 100

• 37 out of 1000

​Analyze Percents of Numbers

​You can use equivalent ratios to find the percent of a number.

• Remember that a percent is a ratio that relates a number to 100.

Multiple Choice

Find 0.8% of 1,046.

• 8.3

• 8.36

• .836

• 8.368

Connect Percent and Proportion

• ​You can use proportions to solve different types of percent problems.

• There are three values in a percent problem - the percent, the part, and the whole.

• If you know two of these values, you can set up a proportion to find the third value.

Multiple Choice

24.94 s 29% of what number?

• 68

• 86

• 72

• 27

Multiple Select

Learning Goal:

Can I convert between fractions, decimals, and percent by solving multistep percent problems to calculate tax and gratuities, markup/markdowns, commission, percent increase and decrease.

Do you feel that you are on you way to meetng your learning goal so far?

• yes

• almost there

• maybe, not sure

• no

​Percent Equation

Multiple Choice

There are 45 students who play a woodwind instrument in the school band. Of these, 18 play the saxophone. What percent of these students play the saxophone?

• 40%

• 0.4%

• .40%

• 0.04%

​Percent Change and Percent Error

Multiple Choice

Melissa estimated that she would red 250 pages last week. She read 290 pages. What is the percent error of Melssa's estmate? Round to the nearest whole percent?

• about 9%

• about 14%

• about 10%

• about 7%

​Markup and Markdown

​You can use the percent equation to solve markup and markdown problems.

Multiple Choice

Journey wants to buy a sweater that had an original price of $55. The sweater iis now discounted 20% and the sales tax rate is 5.5%. How much will Journey pay for the sweater?

• $420.46

• $42.46

• $46.42

• $4.62

Simple ​Interest

You consider four quantities when solving problems involving simple interest.

• initial amount, or principal, p

• interest rate, r

• time, t

• amount of simple interest, I

Multiple Choice

Ramir put $700 into a Certificate of Deposit (CD) account that earns 1.8% interest each year. What will the interest of the CD account be after 6 years?

• $756

• $75.60

• $7.56

• $76.50

Multiple Choice

Is it an increase or decrease?

12 inches to 36 inches

• increase

• decrease

​Examples:

Multiple Choice

45 is what percent of 60?

• 75

• 25

• 70

• 60

Multiple Choice

What is 65% of 40?

• 2400

• 16

• 66.7

• 24

Multiple Choice

Calculate the percent increase. Round to the nearest percent.

Original 12:

New: 15

• 20%

• 0.25%

• 0.2%

• 25%

​Group Activty

Directions:

​You and your group members will explore the Orange Pod Mall where you will work with percentages in a variety of formats to create a deeper understanding

of how percentages are used in everyday life.

1. Each person in the group will have a project packet, calculator and clipboard. Immediately write your name and date on the cover sheet.

2. Your group must begin at the designated starting point.

3. Once you are done at that store you can browse to next available store. You will browse the mall until all stores have been visited.

4. You must browse and complete worksheets for at least 3-4 stores today.

5. You must browse the mall with your group! Please do not wander off.

​Groups:

​Group 1:

Start at Food Court

Q

Christian

Kenton

Derek

​Group 2:

Start at Shoe Shopping

Thelma

Jennfer

Taysha

Dennis

​Group 3:

Start at Clothes Shopping

Melissa

Layla

Zimena

Emma

​Group 4:

Start at Computer Shopping

John

Myonna

Zariah

​Group 5:

Start at Supply Shopping

Haley

Alliyia

Sadiyah

James

​Group 6:

Start at Taking out a Loan

Zeeshawn

Ramir

Keleechi

Javon