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Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.2 Understand and Use the Simple and Compound Interest Formulas 11.3 Understand Consumer Loans and how Finance Charges work 11.4 Understand, Calculate Future Values and Determine to Accumulate a Certain Value of Annuities 11.5 Calculate Payoff and Unpaid Balance and Construct a Schedule for an Amortized Loan

Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

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Page 1: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

Welcome to Unit 3Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.2 Understand and Use the Simple and

Compound Interest Formulas 11.3 Understand Consumer Loans and how

Finance Charges work 11.4 Understand, Calculate Future Values and

Determine to Accumulate a Certain Value of Annuities

11.5 Calculate Payoff and Unpaid Balance and Construct a Schedule for an Amortized Loan

Page 2: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

11.1 PERCENTS

Objectives:Understand the meaning of percentMake conversions between percent, decimals and fractions.Apply the percent equation to solve problems Apply the percent of change formulas

Page 3: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

Where do you see % in the real world?

Page 4: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

What does percent mean?

derived from the Latin “per centum” with means “per hundred”

How do you convert between decimal, fractions and percents?

Page 5: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

Class work

Worksheet #’s 1 – 15 odd

Page 6: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

Everybody get up!

Using the index cards find your fraction, decimal and percent equivilance.

Page 7: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

Understand the percent equation.

36% of 20 is what?

7% of what is 9?

Page 8: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

The percent equation

%

100

is

of

Page 9: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

The percent wheel

P = part

% = percent

W = whole

Page 10: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

You try

#’s 33 – 39 odd

Page 11: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

Tax and Discount

Original Price of an SUV $55, 595 Employee Discount 10% Tax: 7%

Page 12: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

You Try

#’s 19, 21, & 23

Page 13: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

Example 1 – Percent of Change

This year tuition at Good Old State was $7965 and for next year the board of trustees has decided to raise the tuition to $8435. What is the percent of increase in the tuition?

Page 14: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

Percent of Change

Percent of change =

new amount – base amount

base amount

Percent Increase Positive answer

Percent Decrease Negative answer

Page 15: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

Problem 1

Last month the average price per gallon of gasoline was $3.41, and this month the average is $3.54. Find the percent of increase to the nearest tenth of a percent.

Page 16: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

Percent of Change in Advertising

Example 2: Monte’s Autorama is having and End of the Year Clearance in which the TV ads proclaim that all cars are sold at 5% markup over the dealer’s cost. Monte has a new Exfinity for sale for $18,970 and you find that this model cost the dealer $17,500. Is Monte being honest in his advertising?

Page 17: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

Percent markup formula

Percent of markup =

selling price – dealer cost

dealer cost

Page 18: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

Problem 3

The dealer cost for a certain model of a new car is $17,450. The dealer claims that all his cars are sold at 4% markup. The dealership is advertising this same model for $18,250. Is the dealer being honest in his advertising?

Page 19: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

Class work (to be collected) pg. 624 #’s pg. 624 (10, 14, 18, 20, 24,

28, 40, 42, 46, 48, 52, 58, 64

Page 20: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas

homework

HW – pg. 624 11, 13, 19, 21, 25, 29, 31, 33; 35-57odd and 63

Page 21: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas
Page 22: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas
Page 23: Welcome to Unit 3 Consumer mathematics: The mathematics of everyday life 11.1 – Percent 11.1 11.2 Understand and Use the Simple and Compound Interest Formulas