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Welcome to 7 th Grade Math Class Connect

Welcome to 7 th Grade Math Class Connect. Mrs. Tatom January 18, 2012. Today’s Objective. 7.3.A - Patterns, relationships, and algebraic thinking. The student solves problems involving direct proportional relationships. The student is expected to:

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Welcome to 7 th Grade Math Class Connect

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  1. Welcome to 7th Grade Math Class Connect Mrs. Tatom January 18, 2012

  2. Today’s Objective 7.3.A - Patterns, relationships, and algebraic thinking. The student solves problems involving direct proportional relationships. The student is expected to: Estimate and find solutions to application problems involving percent Where Can I Find This? Study Island: 2A OLS: Unit 9 – Lessons 12, 13, and 14

  3. Proportions Can Be Used with Percents Too! Tax - How much tax on a purchase? Tips– How much tip to leave at a restaurant? Discounts -How much will an item cost with a discount? Commission – How much money will a salesperson make on sales?

  4. Percents? • A percent means parts per hundred. • In math, the % symbol stands for percent! • A percent can be written as a fraction by dividing by 100. 43% = 43/100 • …or a decimal by moving the decimal to the left twice. 43% = .43

  5. How is a Percent Written in a Proportion? ~ Percent 25% Percent 95% Percent 82.5%

  6. How to Set Up Percent Proportions… Tax-> Tip-> Discount-> Commission-> General % Problems->

  7. Example 1: Tax Problem! An IPOD Touch is priced at $299, and the sales tax is 8.3%. What is the total cost of the IPOD Touch?

  8. Example 2: Tip Problem! A restaurant bill comes to $28.35. Find the total cost of the meal if there is a 20% tip left on the total.

  9. Example 3: Discount Problem! Bath and Body Works scented oil usually costs $7.50 a bottle. This week it is on sale for $4.00. What is the percent of discount on the scented oil?

  10. Example 4: Commission Problem! An electronics salesperson sold $15,486 worth of computers last month. She makes 3 % commission on all sales and earns a monthly salary of $1200. What was her total pay?

  11. Example 5: Generic Problem! Yolanda’s club has 35 members. Its rules require that 60% of them must be present for any vote. At least how many members must be present to have a vote?

  12. Let’s Practice! The cost of Matt and Natalie’s dinner was $27.35. They want to leave a 20% tip. Which of the following is closest to the amount of the tip they want to leave? • $4.00 • $4.50 • $5.00 • $5.50

  13. Let’s Practice! A company published 110 books last year, and 8 of them became best-sellers. Which best represents the percent of books the company published last year that did NOT become best-sellers? • 7% • 8% • 93% • 102%

  14. Let’s Practice! c Mrs. Loya sponsors the Spanish club at Central Middle School. The club has 8 members who are sixth graders, 12 members who are seventh graders, and 10 members who are eighth graders. What perent of the Spanish Club members are seventh graders? • 40% • 30% • 26% • 10%

  15. Let’s Practice! Of the 850 students at Brown Middle School, 38% are in the school band. How many students are in the school band? • 32 • 527 • 323 • 812

  16. Let’s Practice! Bradley answered 80% of the questions on his Science test correctly. There were 30 questions on the test. How many questions did Bradley NOT answer correctly on the test? • 6 • 18 • 24 • 20

  17. Let’s Practice! The seventh grade students at Alaniz Middle School went on a field trip. At lunch 17 students drank lemonade. This represented 20% of the students on the field trip. How many students were on the field trip? • 20 • 37 • 85 • 117

  18. Let’s Practice! • Jake spent a total of $20 on the items below. What percent of the $20 did Jake spend on movie tickets? • 2 movie tickets for $6 each • 1 bag of popcorn for $3.50 • 2 drinks for $2.25 each • 40% • 12% • 60% • 8%

  19. Let’s Practice! Mario answered 75% of the 40 problems on his history homework correctly. How many problems on his homework did he answer correctly? • 19 • 30 • 28 • 10

  20. Let’s Practice! There are 280 students in the seventh grade at Oak Middle School. If 15% of the seventh graders belong to the school choir, how many seventh graders at Oak Middle School belong to the choir? • 19 • 28 • 42 • 56

  21. Let’s Practice! A salesperson sells 50 acres of land for $900 an acre. If he earns 10% commission, how much will he make?

  22. Let’s Practice! Solomon paid $215.21 for a recent hotel stay. He wants to leave a 10% tip. Which of the following is closest to the amount he wants to leave as a tip?  • $24.00 • $21.50 • $19.00 • $26.50

  23. Let’s Practice! Clark filled 190 cups for a drink station along a race route. He filled 160 cups with water and the rest with sports drink. Which is closest to the percent of the cups that were filled with sports drink? • 16% • 30% • 84% • 19%

  24. Thanks for coming! Have a wonderful day!

  25. Power Half Hour! Raise your hand if you have a question! I will be right with you!

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