Ratios and Proportional Relationships Unit Rates and Complex Fractions Proportional ? ConstantofProportionality Proportions by Equations Multistep Ratio.

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Presentation transcript:

Ratios and Proportional Relationships

Unit Rates and Complex Fractions Proportional ? ConstantofProportionality Proportions by Equations Multistep Ratio & % Vocabulary

Category 1 1 min. Unit Rates and Complex Fractions

1 min. Unit Rates and Complex Fractions

Category 1 1 min. Unit Rates and Complex Fractions 20

Category 1 1 min. Unit Rates and Complex Fractions

Category 1 2 min. Unit Rates and Complex Fractions

Yes 1 min. 30 sec. Proportional?

No, when x is 0, y is 4 Proportional? 1 min. 30 sec.

Yes Proportional? 1 min. 30 sec.

2 min. Proportional? No, when x is 0, y is 6

2 min. Proportional? No, there is no Constant of Proportionality

45 sec. ConstantOfProportionality The perimeter of a square is proportional to the length of its sides. This relationship can be expressed by the equation P = 4s. What is the constant of proportionality and what does it mean? Constant of Proportionality is 4. y is always 4 times the value of x.

10 45 sec. ConstantOfProportionality

30 sec. 2 2 ConstantOfProportionality

1 min. 2 2 ConstantOfProportionality

2 min. ConstantOfProportionality

1 min. Bob rented a bike for 2 days. The cost for the rental came to $30. Write an equation expressing the total cost (c) by the number of days (d). c = 15d Proportions by Equations

A factory can complete a 2500 units of their product in 20 days. Express the amount of units (u) of their product can be completed in (d) days. u = 125d 1 min. Proportions by Equations

1 min. A student can complete 15 math problems in 25 minutes. Write an equation expressing the numbers of problems (p) a student can complete in (m) minutes. Proportions by Equations

b = 0.4d 1 min. 30 sec. A wood shop can complete 2 model boats in 5 days. Write an equation expressing the number of boats (b) the can complete in (d) days. Proportions by Equations

Mr. Turos can grade 3 papers in 8 minutes. Write an equation expressing the number of papers (p) Mr. Turos can complete in (m) minutes. p = 0.375m 2 min. Proportions by Equations

Tim had 60% of all the baseball cards ever made by Bob’s Publishing Company. If he has 960 cards, how many had Bob’s Publishing Company made? W = min. Multistep Ratio & %

r = 37.5% Beth ate 6 apples. There were 16 in the refrigerator. What percent did she eat? 1 min. Multistep Ratio & %

p = 18 1 min. Danny likes 30% of all the cartoons out right now. If there are 60 cartoons out, how many does he like? Multistep Ratio & %

Mr. Myers has 12 students that earned an F on their projects. There are 30 students in the class. What percent got an F? r = 40% 2 min. Multistep Ratio & %

Two Part Question: A Pair of boots normally sells for $129. There is a sale going on for 20% off. What is the discount? What is the sale price? Discount: $25.80 Sales Price: $ Discount: $25.80 Sales Price: $ min. Multistep Ratio & %

A ratio that compares two different kinds of measured quantities such as miles per hour or dollars per pound. Rate 1 min. Vocabulary

A quantity x is proportional (directly) to another quantity y, then x is written as x = ky. Constant of Proportionality 45 sec. Vocabulary

A comparison of two numbers by division, it can be written 3 different ways: as a fraction, colon, and with the word “to”. Ratio 1 min. Vocabulary

A fraction where the numerator, denominator or both contain a fraction. Complex Fraction 1 min. Vocabulary

The result of multiplying a number by an integer. Multiple 2 min. Vocabulary

Three Step Question If a TV having Original Price of $426, is discounted by 15%, what will be the, the discount, the sales price, and the amount the customer will pay if sales tax is 7.5%? Three Step Question If a TV having Original Price of $426, is discounted by 15%, what will be the, the discount, the sales price, and the amount the customer will pay if sales tax is 7.5%? 500 points 2 min. Discount: $63.90 Sales Price: $ Total with Tax: Discount: $63.90 Sales Price: $ Total with Tax: