PROPORTIONS Section 1.6 We will use proportions to analyze proportional relationships and to solve real-life problems.

Slides:

Advertisements

Similar presentations

3-6 Solve Proportions Using Cross Products

Advertisements

Can we go on! You have 5 minutes to complete check-up.

Rules for Converting Units

Proportions, Ratio, Rate and Unit Rate Review

Chapter 5 Ratios, Rates, Proportions

Direct Variation.

8-2 6th grade math Proportions.

Introduction to Proportions & Using Cross Products Lesson 6-3 & 6-4.

Writing and Solving Proportions. Proportions Proportion is an equation stating that two ratios are equivalent. Proportional are two quantities that form.

Using Cross Products Lesson 6-4. Cross Products When you have a proportion (two equal ratios), then you have equivalent cross products. Find the cross.

Can we go on! You have 5 minutes to complete check-up.

How do I solve a proportion?

Solving Percent Problems Using Proportions

Lesson 1-1 Example Example 1 Karen bought a dress that cost $32. She paid 7% in sales tax. How much did she pay in tax? 1.Write the percent proportion.

8-3 6 th grade math Solving Proportions Using Cross Products.

Solving Percent Problems Section 6.5. Objectives Solve percent problems using the formula Solve percent problems using a proportion.

1 Math Solving Proportions. 2 Vocabulary ► Proportion—an equation that shows that two ratios are equivalent. ► Cross Product—the product of the numerator.

PRESENTATION 9 Ratios and Proportions

Proportional Reasoning Today you will learn to: test if ratios can form a proportion. use cross products. M7.A.2.2.3: Use proportions to determine if two.

Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators.

Ratios and Proportions An introduction. Ratios express relationships 1 dozen eggs $ cups of flour 1 cake This expresses the relationship that 1.

Warm up Lesson 3.1 Solve the following equations: 1. -5(3z + 7) = -8z 2. 3y + 12 = -(6 – 2y) 3. 8a = -4(5a + 7) 4. 10(3b – 1) = -2(b - 3) = z 2.

Fraction to Decimal and Percent. Fraction to Decimal 2. Divide 1 2 EX 1) = 1. Make denominator a power of 10. OR X X 5 10 ?5 5 Put numerator behind decimal.

Chapter 12 Final Exam Review. Section 12.4 “Simplify Rational Expressions” A RATIONAL EXPRESSION is an expression that can be written as a ratio (fraction)

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 :

When two pairs of numbers such as (3, 2 and 6, 4) have the same ratio, we say that they are proportional. The equation states that the pairs 3, 2 and 6,

Section 3-4: Ratio and Proportion Objectives: 1)To find ratios and rates 2)To solve proportions.

Writing Equations For Proportions Day 6.

Solving Proportions. 2 ways to solve proportions 1. Equivalent fractions (Old) Cross Products (New)

1. What Are You Learning? I CAN solve proportions. 2.

PODPOD advanced Kobe runs from baseline to baseline (94ft) in 4 seconds to score the game winning basket. How many miles per hour does he run? basic 25.

Proportions & Unit Rate 7 th Grade Math. 1. Melanie and Valerie went shopping last week. Melanie bought twice as many shirts as Valerie. If Valerie bought.

Finding a Percent of a Number

Monday October 18,2010 Review for Benchmark Assessment on Rates, Ratios and Proportions.

Direct Variation Equation for direct variation:. Page 6 Steps: 1.Set up a proportion 2.Cross multiply and solve for variable Since x varies directly as.

Solving Proportions 4-3. Vocabulary Cross product- for two ratios, the product of the numerator in one ratio and the denominator in the other.

Cross Products and Proportions

  A ratio is a way to compare two quantities that are measured in the same units by using division  45 : 100 Ratio.

Proportional and Non-proportional Relationships. An equation stating that two ratios are equivalent is called a proportional. 200 Miles 4 Hours 50 Miles.

3.9 Proportions Goal to solve problems involving proportions.

Understanding Proportion. Ratio A ratio is the comparison of two numbers by division. A classroom has 16 boys and 12 girls. Also written as16 boys, 16:12.

Proportions From Tables. Hours WorkedPay You have been hired by your neighbor to babysit their children Friday night. You are paid.

+ Directly Proportional. + Directly proportional: as one amount increases, another amount increases at the same rate. Hence, the straight line when we.

1.6 SOLVE PROPORTIONAL RELATIONSHIPS OBJECTIVE: USE PROPORTIONS TO SOLVE PROBLEMS PROPORTIONS – BRAIN POP.

Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +

Algebra 1 Foundations, pg 136  Students will be able to solve and apply proportions.

Proportions How to Write and Solve Them. PROBLEM: I saw at Office Depot that pencils were priced at a dozen for $1.50 How much is it for one pencil? How.

Direct Variation If two quantities vary directly, their relationship can be described as: y = kx where x and y are the two quantities and k is the constant.

Solving a Proportion by “Cross” Multiplying

Connect Ratios and Rates to Multiplication and Division

2-6 Ratio and Proportion Goal:

Finding a Percent of a Number

A proportion is an equation that states two ratios are equal

2-7 Solving Proportions.

Finding a Percent of a Number

Lesson 5.2 Proportions Students will be able use cross multiply to determine if the two ratios are equivalent.

Section 5.3A Solving Proportions Section 5.3A Solving Proportions

Lesson 3.1 How do you solve one-step equations using subtraction, addition, division, and multiplication? Solve one-step equations by using inverse operations.

Percent of Change By, Mrs. Muller.

Finding a Percent of a Number

Section 5.3A: Similar Triangles

How do I solve a proportion?

Write a proportion that compares hours of work to pay.

Understanding Proportions

Using Cross Products Chapter 3.

Presentation transcript:

PROPORTIONS Section 1.6 We will use proportions to analyze proportional relationships and to solve real-life problems.

WHAT THE HECK IS A PROPORTION? A relationship between two ratios that are _______________. WHAT DOES A PROPORTION LOOK LIKE? 4 = b 6 3

WHAT IS A PROPORTION USED FOR? To find an ______ value in one ratio when given another ______ ratio. HOW DO WE SOLVE A PROPORTION? We find the ________, where we multiply the numerator of one ratio with the denominator of the other ratio.

*Step 1: Find the cross products *Step 2: Compare the cross products 2 = LET’S PRACTICE DETERMINING IF TWO RATIOS ARE PROPORTIONAL 30 YES!

*Step 1: Find the cross products *Step 2: Compare the cross products 15 = LET’S PRACTICE DETERMINING IF TWO RATIOS ARE PROPORTIONAL NO!

Is the following ratio proportional? 4 = WHITE BOARD TIME!!

Is the following ratio proportional? 6 = WHITE BOARD TIME!!

Is the following ratio proportional? 1 = WHITE BOARD TIME!! 24 32

Try on your Own 1. The ratio of 7 th grade students to 8 th grade students in a soccer league is 17:23. If there are 200 students in all, how many are in the 7 th grade?

Try on your Own 2. After 2 hours, the air temperature had risen 8 degrees. Write and solve a proportion to find the amount of time it will take at this rate for the temperature to rise and additional 13 degrees.

Use Unit Rate You can also use the unit rate to write an equation expressing the relationship between two proportional quantities. Example: Olivia bought 6 containers of yogurt for $7.68. Write an equation relating the cost c to the number of yogurts y. How much would Olivia pay for 10 yogurts at this same rate?

Practice Solve each proportion: 1. k = = n Evarado paid $1.12 for a dozen eggs at his local grocery store. Determine the cost of 3 eggs.

Essential Question How do you solve a proportion? ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________