Cosmetology PLC Webinar: CTE Math

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1 Welcome! Cosmetology PLC Webinar: CTE Math March, 2013

2 Using Literacy and MAX Teaching Strategies to Support Mathematics Understanding

3 Cosmetology Technical Vocabulary with Math Meaning Salary Stationary guideline Commission Traveling guideline Gross / net pay Formula Sales Tax Ratio Angle Concave Apex Convex Cutting line Diagonal Elevation Horizontal Graduation Vertical Line Volume Perimeter Diameter

4 Leveraging Language to Support Math Teaching Several instructors have indicated that their students use composition books in class for math assignments as well as writing activities. How can we combine a math problem with a writing exercise?

5 Multiple Representations using Cosmetology Data

6 Salon Supplies

7 Product Use

8 Salon Business

9 Misc.

10 Problem Solving Strategies

11 Sample Word Problems Denise Nenni & Amy Sassos, Central Westmoreland

12 Sample Word Problems Gross pay the amount of pay earned BEFORE tax deductions. You work 40 hours a week. Minimum wage is $7.50 hr. Your employer is paying you 30% commission based on a $ / week quota. Your sales for the week totaled $ How much is your gross pay? Based on the previous scenario, your sales for the week totaled $ How much is your gross pay? Julie is paid straight commission on a 45% basis. She worked 40 hours this week and received $ gross on her paycheck. What was Julie s gross hourly rate? Mary Heim, Northumberland County CTC

13 Sample Word Problems To use a thermal iron to its best advantage, it is important that the hair length be more than three times the diameter of the rod. Example: A thermal iron with a 1½ inch diameter is for use on hair that is 4 ½ inches long. A thermal iron is ¾ inch in diameter. How long should the hair be to get a strong curl? You are working on hair that is 12 inches long. What diameter rod should you use? Stacey Rudy, Berks Career & Technology Center

14 Sample Word Problems There is a product sale with multiple discounts. The product is on sale for 50% off. Today only you receive an additional discount of 20%. If you received a coupon in the mail you may use the coupon for an additional 5% off. How much would you pay after all of the discounts if the product originally costs $20.00? What would be the total amount after adding the 6% sales tax? Sandy Zulick, Indiana County

15 Sample Word Problems Deloris is an image consultant for Career Directions. She receives 65% commission on all consultations she completes. Her services for the month of August totaled $ What is her gross pay? OPI nail polishes are made at a rate of 300 bottles an hour. How long will it take to produce enough polish to fill 10 cases of nail polish if there are 144 bottles to a case? Melissa Chapman, York

16 Sample Word Problems Look at the 90⁰ roller angles, determine what sides of the triangle you are given and solve for the missing part. 1. A roller is pulled up creating a 90⁰ angle. The hair that is pulled up is 12 long. You hold your come across the base of the triangle. You have a 4 come. What is the length of the hypotenuse? Draw the triangle. 2. A roller is pulled up creating a 90⁰ angle. The hair that is pulled up is 10 long. You hold your comb across the hypotenuse of the triangle. You have a 9 comb. What is the length of the triangle leg? Draw the triangle. Lisa Hughes, Reading Muhlenberg

17 Sample Word Problems The price for thermal styles in the salon is $15.50 each. On Monday you did 7 thermal styles. Tuesday you did 9, and Thursday you did 11. How many total thermal styles did you do that week? What was the total brought in for your thermal styles? What was the average number of thermal styles you did per day? If your commission rate if 45%, what would you make on those styles? If your tax rate is 12%, what would be withheld for taxes? Stacey Rudy, Berks Career & Technology Center

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