powerpoint presentation of ratio and proportion

R: Ratio Tables

F: Quiz/Proportions (Tape)

M: Double Number Lines (Review Tape)

T: Cross Multiply (Review Double)

W: Review Cross & Quiz

F: Review (Activity)

T: Percents

Unit Two:� Ratios and Proportions

Quiz Friday.

8 questions.

Covers our Days 1 and 2 lessons

(ratios and tables)

10 minutes to complete.

Order Matters!

Writing Ratios Examples

Writing Ratio Examples

For each picture, write a sentence to describe a ratio relationship between two quantities.

Name the ratio using math symbols.

1. Stars to moons.

2. Bugs to grasshoppers .�

3. Cones to scoops of ice cream.

4. Puppies to kittens.

5. Apples to pieces of fruit .

6. Clownfish to starfish .

7. Yellow cars to red cars.

8. Satellites to cell phones . �

9. Sneakers to basketballs . �

• Pizzas to delivery people. �
• Wheels to bicycles. �
• Skateboards to things with wheels .

Opening Assignment

7.1 Ratio Worksheet

Word Problem

The table shows how much bus fare costs for different sized groups.

Unlike you, Mr. Lasseter and Sofia Vergara have lots of friends. How much would their group of 700 people cost to ride the bus?

Using Tables to Examine Ratios

Complete the Tables Below.

Proportions

Essential Question :

“How did proportions kill Osama Bin Laden?”

A proportion is an equation showing two ratios are equal.

In a proportion, if the ratios are equivalent. Then the cross-products are equal.

You will see 3 ways to solve proportions:

Tape Diagrams

Double Number Lines

• Cross-Multiplication and Equations.

Are these ratios proportional?

https://learnzillion.com/lessons/589-solve-ratio-problems-using-a-tape-diagram

http://www.mathplayground.com/tb_ratios/thinking_blocks_ratios.html

Tape Diagram

• A tape diagram looks like a piece of tape and shows the relationship in a given ratio
• It is also called:
• Strip diagram
• Fraction Strip
• Length model
• Tape diagrams work very well to show PART to PART and PART to WHOLE ratios
• School A has 500 students, which is 2 ½ times as many students as School B. How many more students attend school A?

Tape Diagram - Example

Keenan has 25 homework assignments per week. Of the 25, five of the assignments are for math and the other assignments are for other subjects. In 125 total assignments, how many non-math assignments  does Keenan have?

• Draw a tape diagram by making a bar to indicate the total number of assignments. Partition off five assignments and label them math.
• What is the ratio of math assignments to total assignments each week?
• What is the ratio of math assignments to total assignments?
• How many assignments are non-math?
• Other assignments to total assignments?
• Math assignments to other assignments?

Turn and talk: Which ratio was needed to solve this problem? Why?

1. For every two tulips in a flower arrangement there are three gardenias. There are 15 flowers in the flower arrangement. How many flowers are gardenias?

2. For every piece of broccoli Davante eats, his mother will give him half of a Chips Ahoy cookie. How many pieces of broccoli does Davante need to eat to get three Chips Ahoy cookies?

3. Read the problem below. Then choose the correct ratio to solve the problem. 

In his garden, Mr. Lasseter has two cucumbers for every six cherry tomatoes. In the garden, there are currently 80 vegetables (cucumbers and cherry tomatoes) growing. How many of the vegetables are cucumbers?

https://learnzillion.com/lessons/609-solve-missing-values-in-ratio-problems-using-a-double-number-line

Example Problem:

Mr. Lasseter goes on 114 Taco Bell dates with Amanda Seyfried for every 24 movies he watches. If he watches 168 movies, how many Taco Bell dates does he go on?

Double Number Line Example 2

Mr. Lasseter punches 7 students for every 17 students he kicks. If he kicked 153 students, how many did he punch?

Solving Proportions by Cross Multiplication

Now try with a word problem.

How did Ratios and Proportions kill Bin Laden?

Spies could see a tall man but not a face.

They knew Osama was tall from pictures.

They measured the heights of shadows and set up a proportion to determine the height of the “mysterious tall man.”

The height of a building is 20 feet . The height of the building’s shadow is 80 feet . The height of the man’s shadow is 26 feet tall. How tall is the man ?

Ratio and Proportion Quiz Wednesday

• Tape Diagram-1
• Double Number Line-1
• Cross-Multiplication-3
• Definitions-2
• 10 problems---15 minutes ONLY!

Log-In to Google Classroom.

Visit the Ratio/Proportion Website.

Complete as much as you can in 10 minutes.

Complete Worksheet 6-2 (both sides).

See Mr. Lasseter for help.

Move Around a Little…

Find the following ratios around the room:

• Boys to Girls
• Tennis Balls to Desks
• Computers to Chairs
• Dinosaurs to Baseballs.
• Flags to Basketball Goals
• Words on the Word Wall to # of units.
• Doors to Windows
• Brooms to Dustpans
• Teachers to students.
• Blue shoes to red shoes.
• Glasses to No Glasses.
• Paddles Mirrors
• Blue Storage Buckets to Clear Storage Buckets

A rate compares two quantities that have different units of measure.

Miles per Hour

Price per Pound

Problems per Minute

Dollars per Hour

To find the rate…

Rate Word Problems

Which day did Mr. Lasseter run faster?

Water rushes over Niagara Falls at the rate of 180 million cubic feet every 30 minutes. How much water goes over the falls in 1 minute?

6 million ft 3

Rates and Ratios

Be Prepared

On your desk…

1 sheet of notebook paper.

Last night’s homework.

Nothing else.

Unit Rate Review

http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-rates/v/finding-unit-rates

http://www.ixl.com/math/grade-7/unit-rates

Solve the problems on notebook paper as we go.

Complete the Unit Rates with Speed and Price-Matching Worksheet.

Answer My Questions!

How many cents are in $1?

How many years are in a century?

What does the word “per” mean?

What does percent mean?

For every 100

Change These Fractions to Percent.

Changing Percent to a Fraction

How do we change a decimal to a percent?

Move the Decimal Place Two Places to the Right (Multiply by 100)!

Test Tuesday!

Lots of Word Problems

Percent Problems

“How do I extract information from a word problem to solve?”

Joke of the Day

What does a house full of happy cats smell like?

Write This Down!

Percent Word Problems

Example Two: Read Carefully

You May Sometimes Multiply to Find a Percent!

Change the percent to a decimal and multiply.

Find 20% of 150.

0.20 × 150 =

Find 15% of 200.

Find 120% of 80.

Word Problem!

There are 560 students at PGM. If 35% want to grow up to be like Mr. Lasseter, how many want to be like Mr. Awesomeness (A.K.A. Mr. Lasseter)?

196 want to be like Mr. Lasseter . They never will be as cool as him.

Mr. Lasseter is so dreamy!

Exercise-It is Good For You.

Catwoman is 25% of the way through her exercises (being a criminal is hard work). If she has exercised for 20 minutes so far, how much longer does she have to work out?

She still has 60 minutes to go.

Using Percent

Anytime you shop, eat at a restaurant, or spend any money, you are using percent.

Three examples are:

Mr. Lasseter’s Gangsta Polka Music Store

Mr. Lasseter is selling albums for 10% off the regular price. What will you pay for the new Taylor Swift album that costs $14.99?

$14.99 × 0.10 = 1.499

$14.99 – 1.499 = 13.491

Mr. Lasseter and Kat Dennings are on a date to Hip Hop Chicken & Fish. The bill is $13.95. Mr. Lasseter wants to leave a 15% tip. How much will his total bill be?

13.95 × 0.15 = 20.0925

13.95 + 2.0925 =

Mr. Lasseter is buying a kitten for Katy Perry. It costs $79.65. The sales tax is 6%. About how much will the total cost of the kitten be?

79.65 × 0.06 = 4.779

79.65 + 4.779 =

The Biggest Problem Ever!

Mr. Lasseter is buying a new dress for Anna Kendrick. Here are his 3 options:

Which option will cost the least?

Which option will cost the most?

Which did you choose? Explain why?

Option 1: $61.60

Option Two: $61.08

Option Three: $63.60

Option 2 costs the least.

Option 3 costs the most.

Mr. Lasseter would buy all three because Anna loves him.

Advertisement Project

• Test Grade.
• Pick an item and find its price. You will have to draw it (no cutting and pasting).
• Create an advertisement for your product.
• Pick a discount percentage (it must be shown on the advertisement).

Today’s Schedule

• Finish Your Advertisement- 10 minutes .
• Shopping-Pick a classmate and do the math for his or her advertisement (put on your paper)- 10 minutes .
• Check your math with a calculator (if you have one). Tape on the wall outside. Turn in your half sheet for your grade- 10 minutes . Lockers and Restroom .
• Begin your test review. When everyone finishes the advertisement, we will step outside to work with Ms. Waller’s class- 30 minutes .
• Test tomorrow. 15 problems. 45 minutes only.

Unit Two Test Review

15 questions.

45 minutes.

Show all work.

When finished:

• Visit your Google Classroom to complete 2 surveys and 1 SME session.
• Measure your height on the paper up front.

Videos to Help

https://www.youtube.com/watch?v=ROqs3okFh1E

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Math Subject for Middle School - 8th Grade: Ratio, Proportion and Percentages

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Ratio and Proportion

Dec 14, 2012

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Ratio and Proportion. Prepared by: Josephine Libron. Objectives:. 1. Define ratio and proportion 2. Identify ways in writing ratios 3. Find equal ratios 4. Solve problems involving ratio and proportion using Microsoft Office Word. 5. Make a reflection using PowerPoint Presentation.

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Presentation Transcript

Ratio and Proportion Prepared by: Josephine Libron

Objectives: 1. Define ratio and proportion 2. Identify ways in writing ratios 3. Find equal ratios 4. Solve problems involving ratio and proportion using Microsoft Office Word. 5. Make a reflection using PowerPoint Presentation.

Is it good to compare things?

When quantities have different measurements, how can they be compared?

Ratio - is a comparison of two quantities

Two equal ratios form a PROPORTION.

Ratios and Proportions can be written as a Fraction. We can also use the colon ( : ) in writing ratios and proportions.

Let’s Practice! Write the ratio or proportion using colon. 1.) 3 cups of sugar for every 5 cups of Flour 2.) 2 men for every 5 cups of rice 3.) 1 book for every 2 pupils 4.) 4/8 = ½ 5.) 3/7 = 12/28

Let’s Check! Click the Button to find the answers.

Answers 1.) 3:5 2.) 2:5 3.) 1:2 4.) 4:8 = 1:2 5.) 3:7 = 12:28

Equal Ratios To find equal ratios, multiply or divide the given ratio by a fraction equal to 1.

Examples • 2 3 Solution: Multiply 2 to the given ratio 2 2 x 2 = 4 3 2 6 Therefore, 2 = 4 3 6

8 • 24 • Solution: Divide 8 to the given ratio • 8 • 8 ÷ 8 = 1 • 24 8 3 • Therefore, 8 = 1 • 24 3

Let’s Practice! • Write a ratio equal to each 1.) 1/5 2.) 10/12 3.) 1:2 4.) 2:3 5.) 3:4

Let’s check! Click the Button to find the answers

Answers 1.) 2 4.) 8 : 12 10 2.) 30 5.) 15 : 20 36 3.) 3 : 6

Let’s Apply 1. Girlie can make five rag dolls from six discarded socks. Write four ratios equal to this.

Journal #1 Make a journal about the topic and write your learning insights.

Proportion • A proportion is a statement that two ratios are equal. • In a proportion, the product of the means is always equal to the product of the extremes =

To find the missing part of the proportion: • Multiply the given ratio by a fraction equal to 1 or use the cross product method • Multiply the means or the extremes. Then divide by the third given number

Examples: 1.) 8 = 32 7 n Solution: Use the cross product method 8n= 224 8n = 224 divide both side by 8 8 n = 28 therefore, 8 = 32 7 28

2.) 3 : 5 = n : 25 Solution: Multiply the means or the extremes 3 : 5 = n : 25 3 x 25 = 75 5 x n = 75 n = 75 ÷ 5 n = 15

Let’s Practice A. Find n. Use cross products 1. n = 18 2. 5 = 13 10 4 10 n B. Find n. 1. 20 : 24 = n : 6 2. 12 : 28 = n : 42

Answers • A. • ) 45 • ) 26 • B. • ) 5 • ) 18

Let’s Apply 1. Empty cans sell at P0.75 for 4. How many does Lina have to sell to earn P11.25?

Solving Problem Involving Ratio and Proportion

Remember: There are basic steps in solving a problem : Understand, Plan, Carry out the plan and Check.

Problem For every 3 metres of bamboo sticks, three boys can make 5 frames of Christmas lanterns. How many lantern frames can they make with 15 metres of bamboo sticks?

Assignment : Solve : (Show the basic steps in solving a problem.) 1. Three times a recipe calls for 5 cups of milk. How many cups of milk will be needed for 12 times the recipe? 2. Two out of three booths sell rag dolls. If there are 27 booths, how many of these sell rag dolls?

Activities • Make a summary of the whole lesson that has been tackled for the week. • Give an example of at least 5 real life problems involving ratio and proportion with the solutions following the basic steps in problem solving. (Write this in the Microsoft Word) • Make a reflection based on the lesson for the whole week using PowerPoint presentation.

Finalization of making PowerPoint and the Microsoft Word Activities

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Ratio and Proportion Powerpoint

Subject: Mathematics

Age range: 7-11

Resource type: Other

Last updated

2 July 2018

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