A proportion is a statement of equality of two or more ratios Remember: A ratio is a comparison of two numbers by division.

Slides:

Advertisements

Similar presentations

Wednesday, March 12 Equivalent Ratios. Objective: To understand how to prove fractions are equivalent.

Advertisements

Direct Variation Chapter 5.2.

Math 015 Section 7.4 Proportions. Obj: To determine whether a proportion is true A proportion is a statement of equality between two ratios or between.

Math 009 Unit 5 Lesson 4. Obj: To determine whether a proportion is true A proportion is a statement of equality between two ratios or between two rates.

SOLVING EQUATIONS WITH VARIABLES ON BOTH SIDES

Ratio Lesson 4-1 and Proportion.

Proportions and Ratios

A proportion is a mathematical statement showing that two ratios are equal. A proportion is written as an equation with a ratio on each side of the equal.

Ratios Rates and Unit Rate

Proportions, Ratio, Rate and Unit Rate Review

Chapter 5 Ratios, Rates, Proportions

Chapter 5 Ratios, Rates, Proportions

 Lesson Objective: NCSCOS 4.01 – Students will know how to solve problems using direct variation.

1 Percent Proportion. 2 Percent Means ‘of a hundred’

Ratio and Proportion A ratio is a comparison of numbers. The ratio of squares to stars can be expressed in three different ways: ★★★★ Using the word “to”-

10/30/14 Warm up Adding Tax to Cost How much change will you get when buying a sweater for $29.95 plus 8.5% sales tax and paying with forty dollars?

RATES, RATIOS AND PROPORTIONS NOTES. DEFINITIONS A ratio is a relationship between two numbers of the same kind. A proportion is a name given to two ratios.

Lesson 4-1 Ratio and Proportion

2-6 Ratios and Proportions

Using the Conversion Factor

Algebra 1 Notes 3.6 Warm Up Vocabulary 3.6 Ratio: Comparison of two numbers by division. Can be expressed 3 ways. Proportion: Equation stating.

PRESENTATION 9 Ratios and Proportions

1 Percent Proportion. 2 Percent Means ‘of a hundred’

Proportions. Proportion – two equal ratios 1 = 4 3 = = 21 a = c 8 24 b d.

Ratio, Rate, Proportion, and Percent. Ratio  Comparison of two numbers by division  Can be written three different ways 4 to 9 4 :

§ 2.7 Ratios and Proportions. Angel, Elementary Algebra, 7ed 2 Ratios A is a quotient of two quantities. Ratios provide a way to compare two numbers.

SWBAT… calculate ratio and proportion problems

4.1 Ratio and Proportion Ratio – comparison of two numbers by division. –Can be written: a to b a : b where b ≠ 0. If a and b represent quantities measured.

4-4 Solving Proportions Learn to solve proportions by using cross products.

5-1 Objective: Solving proportions. A ratio is the comparison of two numbers written as a fraction. An equation in which two ratios are equal is called.

What does it mean to be proportional? When two ratios are equal, they are PROPORTIONAL Example: 2 = x 6 = 30 2 x 15 = 30 Look! There cross Products.

Chapter 4 Rates, Ratio, and Proportions.. Ratio- Is the comparison of two quantities that have the same units, often written in fraction form.Is the comparison.

Anne is painting her house light blue

Dimensional Analysis. Measurement Ratios In order to use dimensional analysis, you have to understand that you need to use ratios that have a value of.

When comparing two objects of the same proportion... Proportional Relationships Proportion: a statement that two ratios are equal.

PROPORTIONS 6-2. VOCABULARY Proportion – equality of two ratios Cross Products – the results when you cross multiply.

Complex fractions are fractions that have fractions within them. They are either in the numerator, the denominator, or both. Divide complex fractions.

Applications of Proportions. Sec. 1 Ratio and Rates A ratio is a comparison of two quantities by division. You can write a ratio in three different ways.

Vocabulary ratio: a comparison of two numbers through division often expressed as a fraction. Proportion: An equation that states that two ratios are equal.

 A comparison of two quantities  Often expressed as a fraction.

Holt Algebra Rates, Ratios, and Proportions Warm Up Solve each equation. Check your answer. 1. 6x = m = y =18.4 Multiply. 6.7.

1. Simplify each side SOLVING EQUATIONS WITH VARIABLES ON BOTH SIDES 2. Get rid of variable on right side 3. Solve two step equation Get rid of parentheses,

Rate It Simplify It Solve ItPotluck Fraction Fun.

3 3 x =5 When you see a Multiplication problem, you can use the DIVISION Property of Equality to solve it! Remember – a FRACTION means to divide! CHECK.

Ratio A ration is a comparison between two numbers. We generally separate the two numbers in the ratio with a colon(:). Suppose we want to write the ratio.

Problem Solving Ms. Crusenberry

Ratio and Proportion Ms. Crusenberry

2-6 Ratios and Proportions

Bell Ringers Solve the following two step linear equations. Show your work. 1.

Ratio A ratio is the comparison of two numbers by division.

Proportions An equation that states that two ratio are equal is called a proportion. These are proportions:

Dimensional Analysis-”Bridge”

RATIOS and PROPORTIONS

3.9 Continued….Word Problems Involving Proportions

Ratios and Rates Chapter 7.

Lesson 4 – Represent Proportional Relationships with Equations

Solve: 3x + 2 = 6x – 1 a.) -1 b.) 1/3 c.) 1.

Proportions, Ratio, Rate and Unit Rate Review

Proportions, Ratio, Rate and Unit Rate Review

Proportions and Measurements

Percent Proportion.

7th Grade Math with Mrs. Davidson

Multiplying/Dividing Fractions

Chapter 5: Proportions.

Sec 5-1D. Solve Proportions

6-1: Ratios and Rates.

Ratio and Proportion.

Percent Proportion.

Writing Proportions Notes - Day 2

Bellwork A scale model of the Statue of Liberty is 15 inches tall. If the Statue of Liberty is 305 feet tall, find the scale of the model. A map has.

Presentation transcript:

A proportion is a statement of equality of two or more ratios Remember: A ratio is a comparison of two numbers by division

 Cartoons  Food and Nutrition  Fashion Design  Maps  Artists  Metric System

 tionandpercent/proportions/

Find the two things you are comparing!! First Step:

Suppose it takes 48 chicken fingers to feed Mr. Young’s 4th grade class of 20 students. How many chicken fingers would be needed for 30 students?

And the answer is……. Chicken Fingers and Students Chicken Fingers Students OR Students Chicken Fingers As a Ratio this looks like…..

Jane ran 100 meters in 15 seconds. How long did she take to run 1 meter?

And the Answer is…. Meters and Seconds MetersSeconds OR SecondsMeters As a Ratio this looks like…..

A car travels 125 miles in 3 hours. How far would it travel in 5 hours?

And the answer is…. Miles and Hours As a Ratio this looks like….. MilesHours OR Hours Miles

Make the two ratios (fractions) that you know Second Step:

Suppose it takes 48 chicken fingers to feed Mr. Young’s 4th grade class of 20 students. How many chicken fingers would be needed for 30 students? First Step: Chicken FingersStudents OR StudentsChicken Fingers

Suppose it takes 48 chicken fingers to feed Mr. Young’s 4th grade class of 20 students. How many chicken fingers would be needed for 30 students? And the answer is…. Chicken Fingers48 X AND Students20 30

FYI Can you flip the ratio so that students were on top and chicken fingers were on bottom? YES! If you flip the ratios so that students are on top and chicken fingers were on bottom you must just be careful to do this for all your ratios. Therefore then 48/20 would change to 20/48 and x/30 would become 30/x.

Chicken Fingers 48 X AND ---- Students OR Students AND Chicken Fingers 48 X

Jane ran 100 meters in 15 seconds. How long did she take to run 1 meter? MetersSeconds OR SecondsMeters First Step:

Jane ran 100 meters in 15 seconds. How long did she take to run 1 meter? And the answer is….. Meters AND Seconds 15 X

A car travels 125 miles in 3 hours. How far would it travel in 5 hours?

And the answer is….. Miles 125 X AND Hours 3 5

Third Step: Set the two ratios EQUAL to each other

1. Chicken Fingers Students X ---- AND X = Suppose it takes 48 chicken fingers to feed Mr. Young’s 4th grade class of 20 students. How many chicken fingers would be needed for 30 students?

Jane ran 100 meters in 15 seconds. How long did she take to run 1 meter?

And the answer is…… 1.Meters Seconds 2. Meters AND Seconds 15 X = X

A car travels 125 miles in 3 hours. How far would it travel in 5 hours?

And the answer is….. 1. Miles Hours 2. Miles 125 X AND Hours X =

Fourth Step: Cross Multiply

Cross Multiply means that you MULTIPLY DIAGONALLY across….. …….Like crisscross apple sauce when you are sitting And then….. Set the two products (ANSWERS) EQUAL to each other 4X = 63

Fifth Step: Solve for X!!!

48 X =

And the answer is…. 30 students would eat 72 chicken fingers

= X

And the answer is… (100)(X)= (15)(1) 100X= 15 X= 15/100 X=.15 It took Jane.15 seconds to run a meter = X

125 X =

(125)(5) = (3)(X) 625 = 3X 625/3=X X= In 5 hours the car would have traveled miles. 125 X =

Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons.

1. What are you comparing? Liters and Lemons LitersLemons OR LemonsLiters Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons.

2. What are your two ratios? Liters 3 X AND Lemons Set the two ratios equal to each other 3 X ---- = Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons.

4. Cross Multiply 3 X ---- = (4)(X) = (3)(8) Solve 4X= 24 X= 24/4 X= 6 You will need 6 liters of water for 8 lemons.

3 gallons of paint cover 900 square feet. How many gallons will cover 300 square feet?

The answer is 1 gallon of paint for 300 square feet.