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Mastering Percentages: Proportional Relationships and Calculations

Practice converting percentages to decimals, determine proportional relationships from tables, calculate discounts, and apply sales tax. Enhance your math skills with step-by-step problem-solving techniques.

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Mastering Percentages: Proportional Relationships and Calculations

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  1. Warm Up – 11/19 Convert these percentages into decimals: 34% = 80% = 24% = 75% = 4% =

  2. Focus Problem - Practice • The table below gives the price for different numbers of books. Do the numbers in the table represent a proportional relationship? If so, what is the constant of proportionality?

  3. Focus Problem – On your own! • The table below gives the time it took to travel a certain amount of miles. Do the numbers in the table represent a proportional relationship? If so, what is the constant of proportionality?

  4. Teaching Point • By the end of this class, scholars will be able to calculate _________ and _________

  5. Steps • Identify what the problem is asking (total price or just the discount/markdown) • Set up proportion • Subtract discount/markdown from original price • A sweater is marked down 33% off the original price. The original price was $37.50. What is the sale price of the sweater?

  6. Steps • Identify what the problem is asking (total price or just the discount/markdown) • Set up proportion • Subtract discount/markdown from original price • Erin bought 4 CDs for Rosa. Each CD usually costs $10 but if you buy 4 you get 10% off. How much did she pay for the CDs?

  7. Steps • Identify what the problem is asking • Set up proportion • Subtract discount from original price • Dontavious went to the mall to buy a pair of jeans. He finds a pair that were originally $30. They are now 20% off. What is the new price of the jeans? • How much would he pay with 6% sales tax?

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