Unit 4: Proportions

PercentApplications February 29, 2016

Unit 4:

Proportions

Percent

Problems

Ratios

Proportions

Proportional

Equations

Unit

Rates

Simplifying

FractionsGraphing

Bank

Interest

Percent

Tools

Vocabulary

Conversions

% proportion and % equation

Percent

Applications

Simple Interest

Sales Tax & Tipping

Markups and Discounts


Before Use equivalent forms of fractions, decimals, and percents to solve problems

Now

Next Solve problems involving percent of a number

Estimate percents based on prior knowledge of conversions

641

1/100

%dec

dec

dec

dec

%

%

%


100% of something means all of it. 1% of something means 1/100th of it. To calculate a percent of something, we are calculating a fractional part.

"Percent" literally means "per 100" (divide by 100).

For example, 50% of something means 50/100 which simplifies to 1/2.

What is 50% of 12?

1% of something means 1/100th (divide by 100)

What is 1% of 200?

To find 10% of something, simply divide by 10:

10% = 10/100 = 1/10.

For example, 10% of 340 people is 34.

Also 10% of $2.30 is $0.23. Remember to divide by 10, just move

the decimal point one space to the left.

To find 1% of something, divide by 100 (move the decimal point two

spaces to the left.)

For example 1% of 200 kg is 2kg.

Also 1% of 2.30 is 0.023

.


To find 2% of a quantity, first find 1% and then double the result.

For example, 2% of $6:

First find 1% by dividing by 100: $0.06

Now double that number: $0.12

How do you think you could find 20% of a number?

x

TSW calculate the percent of a number and solve problems

involving percent using a percent proportion.

Do NOW: Take out HW1) What is 10% of 54? 2) What is 1% of 54?

3) What is 11% of 54?

4) What is 80% written as a fraction?

5) Solve for x:


Before Estimate percent based on prior knowledge of conversions

Now

Next Solve problems involving percent using percent equation.

Solve problems using involving percent using percent proportion

Think of a fraction as a part of a whole:

4 out of 5 is 80%

part 4 = 80whole 5 100Example 1:Find the %:

What percent of 5 is 4? Set up a proportion: 4 = n

Example 2: Find the Part

What number is 80% of 5? Set up a proportion: p = 80

Example 3: Find the whole

4 is 80% of what number? Set up a proportion: 4 = 80

5 100

5 100

w 100


Shopping at the mall, I found a cute jacket that is 25% the original price of $55. How much of $55 is 25%?

When buying a new car, the salesman asked me what sort of discount I was looking for. The MSRP of the car is $38,000, but I can only afford $30,000. What % discount would that be?

Another dealer offered me $2200 off the same car. What % of $38,000 is that?

Do Now: Take out midterm corrections

1) Write 3/5 as a fraction over 100.

2) Solve for x:


Objective: TSW solve percent problems using the percent equation.

Before Solve problems involving percent using proportions

Now Solve problems involving percent using equations

NextSolve problems involving percent of change and percent error


Objective: TSW solve problems

involving % using the % equation.

Do Now: Take out HWSolve for x: Homework:

1) 3 = 6n Mid-chapter check

2) p = 0.5 X 6

3) 3 = 0.5w

Percent

Tools

Vocabulary

Conversions


Percent

Applications

Simple Interest

Sales Tax & Tipping



Objective: TSW solve percent problems using the percent equation.

Before Solve problems involving percent using proportions

Now Solve problems involving percent using equations

NextSolve problems involving percent of change and percent error

The percent equation:

3 out of 6 is 50%

part 3 = 50whole 6 100Example 1:Find the %

3 is what percent of 6? Equation: 3 = p X 6

Example 2: Find the part

What number is 50% of 6? Equation: n = 0.50 X 6

Example 3: Find the whole

3 is 50% of what number? Equation: 3 = 0.50 X n

"is" becomes =

"what" becomes variable

"of" becomes x


Exit:

1) What are the two ways to solve a percent problem?

2) Which of the two do you prefer to use and why?

3) Is one better or easier to use in certain situations?

Objective: TSW solve problems involving

percent increase and percent decrease.

Do Now: Take out HW1) Convert to a decimal: 25% 3.5% 0.8%

2) Several weeks ago the price of gasoline

at Cumberland Farms was $1.899.

Today the price is $1.759

How much did gas prices go up or down?

`


Before Solve problems involving percent using equations

NowSolve problems involving percent of change and percent error

Next Apply our knowledge of percent and percent change in a project next week

New vocab today:

percent of change

percent of increase

percent of decrease

percent error


Objective: TSW apply their understanding of percentages and calculate percent changes from economic data using a spreadsheet that they create and format. TSW investigate the topic of economic class in the United States.

Do Now: Take out HW1) Jack has been training for a marathon and runs for 2 hours each day. On Day 1, he was able to run 10 miles in 2 hours. On Day 30, he was able to run 15 miles in 2 hours. What is the percent increase in miles run from Day 1 to Day 30?2) Estimate 48% of 85,000,000,000,000. [48% is the share the top 1% owns; actual US wealth is about 85 trillion (wsj)]

`

Objective: TSW interpret data and charts

from a spreadsheet to draw conclusions and

form an opinion.

Do Now: 1) A $100 scarf is on sale for 20% off.

What is the new price?

2) A $1000 computer is on sale for $800.

What % off is that?

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Homework:

Percent Review


Exit ticket – how did analyzing data for this project enhance your understanding of percents and percent change?

Objective: TSW demonstrate masteryof percentage concepts including percentproportion, percent equation, percentchange, and percent error

Do Now: Take out HWIn the pick up bin. Please turn in to

me when finished.

`

Homework:

none


Objective: TSW apply prior knowledgeof percents to solve problems involving financial literacy, specifically sales taxand tips

Do Now: Take out HW 1) What is 20% of 100?2) What is 100 + (20% of 100)?3) What is 120% of 100?

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Homework:

Independent Practice

#1-6, 13

Unit 4:

Proportions

Percent

Problems

Ratios

Proportions

Proportional

Equations

Unit

Rates

Simplifying

FractionsGraphing

Bank

Interest


Percent

Tools

Vocabulary

Conversions


Percent

Applications

Simple Interest

Sales Tax & Tipping


Before Use percent proportion and percent equation to solve problems involving percents

Now Solve problems involving sales tax and tip

Next Solve problems involving markup and dicsounts


Vocabulary


Quick Check:

What is the total cost of a sweatshirt if

the regular price is $42 and the sales tax

is 5.5%?


Objective: TSW apply prior knowledgeof percents to solve problems involving markup and discount.

Do Now: Most jewelry stores markup their jewelry 100%.That means the necklace you buy for $100only costs the store $50. Their profit is $50.Let's say the Diamond District offers more competitive prices and only marks up their jewelry by 75%. How much would they chargefor the same necklace?

Homework:


# 1,2, 6, 11, 21, 23-26

Percent

Tools

Vocabulary

Conversions


Percent

Applications

Simple Interest

Sales Tax & Tipping




Now Solve problems involving percent markup and discount

Next Solve problems involving simple interest

Vocabulary:


Objective: TSW apply prior knowledgeof percents to solve problems involving financial literacy, specifically simple interest

Do Now: Take out HW 1) What is 3% written as a decimal?2) What is 3% of 580?3) What is 6/12 written as a decimal??

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Homework:


# 1-5, 13; Challenge 9,10

Percent

Tools

Vocabulary

Conversions


Percent

Applications

Simple Interest

Sales Tax & Tipping


`



Now Solve problems involving simple interest

Next Review, quiz, performance task, review, Unit Test (percents)

https://www.youtube.com/watch?v=mV6YaTbNvvE

https://www.youtube.com/watch?v=mV6YaTbNvvE


Vocab:

principal

simple interest

Arnold puts $580 into a savings account. The accout

pays 3% simple interest. How much interest will he

earn in 5 years? 6 months?


Quick Check:1. Jenny puts $1,560 into a savings account. The account pays 2.5% simple interest. How much interest will she earn in 3 years?

2. Marcos invests $760 into a savings account. The account pays 4% simple interest. How much interest will he earn after 5 years?

Working in pairs: complete worksheet on simple interest.


Exit Ticket:

Ian has $100 in his bank account that earns 5% interest. How much money will he have in one year?

Objective: TSW demonstrate masteryof percentage concepts in a performance task.

Do Now: (in the P/U bin):

Take out HW

Turn Do Now into me.

`

Homework:

study for quiz

review worksheet


Objective: TSW review concepts related

to percentages, including % proportion, %

equation, %change, % error, tax & tip,

discount & markup, and simple interest.

Do Now: Take out HWA new bike helmet costs $23.99. It is on sale

at Dick's at 15% off. If the tax rate is 6.35%, what is

my final price?

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Homework:

study for Test;

complete study

guide.

Unit 4: Proportions

Documents

Transcript of Unit 4: Proportions