Proportions.

Slides:

Advertisements

Similar presentations

Ratio and Proportion.

Advertisements

Proportions  A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal.  3 = 6 is an example of a proportion.

PROPORTIONS. What are proportions?  An equation in which two ratios are equal is called a proportion  A proportion can be written using colon notation.

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

Percent Equations When fractions are equal or proportional:

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.

+ Cross Multiplication Objective: We will learn to use cross multiplication to solve a proportion. We will use cross multiplication to check whether two.

How do I solve a proportion?

Finding a Percent of a Number Lesson 6-7. Using a Proportion Set up a proportion that uses the percent over 100. Cross multiply to write an equation.

1.3 “Solving Linear Equations” Steps: 1.Isolate the variable. 2.To solve when there is a fraction next to a variable, multiply both sides by the reciprocal.

5-1 Objective: Solving proportions.

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

Ratios, Proportions. A ratio can be written in a variety of ways. You can use ratios to compare quantities or describe rates. Proportions are used in.

Ratios, Proportions, and Similar Triangles. Ratios Ratios are like fractions The ratio 1:4 means 1 part to 4 parts and is equivalent to the fraction (part:part)

Chapter 7: Similarity.

Objective Students will solve proportions Chapter 8, lesson 2 (8-2).

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.

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.

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

Organize Binders -Move ch. 3 notes to “old notes” -Move review sheet to “review” -Move Quiz to “quiz” -Throw away old homework.

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

Proportional Reasoning Section 2.3. Objectives:  To solve problems using proportional reasoning.  Use more than one method to solve proportional reasoning.

Proportions Mrs. Hilton’s Class. Proportions What are proportions? - If two ratios are equal, they form a proportion. Proportions can be used in geometry.

Bellwork: Solve for x Ratio and Proportion Students will be able to: 1. Recognize and work with ratios and proportions. 2. Find a fourth proportional.

Using Proportions Lesson 4-1. Ratio: The comparison of two numbers (written in Algebra as a fraction) Proportion: When two ratios are equal to each other.

Rates, Ratios, Proportions & Unit Rate By Colin C.

RATIOS are just Comparisons You can write ratios three different ways. The Fraction Way a b The Colon Way a:b The Written Way a to b “a” is the first object.

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

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

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.

Chapter 9: Lesson 4: Solving Percent Problems with Proportions

Chapter 10: Lesson 4: Solving Percent Problems with Proportions

7-3 Solving Proportions (p ) Indicator  m4.

PROPORTIONS Created by Trudy Magennis. Let’s review! What are proportions? An equation in which two ratios are equal is called a proportion An equation.

Finding a Percent of a Number

4.8 – Solving Equations with Fractions

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

Cross Products and Proportions

PROPORTIONS Objective:Learn how to solve proportions.

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

Ms. Ryan MCATC Medical Math  A ratio is composed of 2 related numbers separated by a colon.  A statement of how two numbers compare.  A.

ANSWER is 25% of what number ANSWER 40% 4.What percent of 90 is 36? ANSWER d = 4 ANSWER x = Solve:

Module 7 Test Review. Understanding Ratios Ratios can be written in three ways –Using the word “to” 18 to 13 –As a fraction –Using a colon : 18:13 Write.

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.

Finding a Percent of a Number

Solving Linear Equations and Inequalities

Finding a Percent of a Number

A proportion is an equation that states two ratios are equal

Lesson 85 Warm Up Pg. 441.

DO NOW (not later): Compare the number of boys to girls in the class.

Proportions and Percent Equations

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.

Ratio and _________.

Converting Repeating Decimals to Fractions

Objective: Understand what proportions are, setting the up and solving

Finding a Percent of a Number

Finding a Percent of a Number

Lesson 6 Ratio’s and Proportions

5-1 Objective: Solving proportions.

Using Cross Products Chapter 3.

Presentation transcript:

Proportions

What are proportions? An equation in which two ratios are equal is called a proportion A proportion can be written using colon notation like this a : b :: c : d or as the more recognizable (and useable) equivalence of two fractions. _ a__ = _ c__ b d

Proportions Means Extremes 6 x 5 = 3 x 10 30 = 30

Proportions Determine if the following are proportions. 1) 2)

Proportions 3 x 60 = 5 x 36 4 x 15 = 8 x 8 180 = 180 60 64 Yes, it is a proportion. No, it is not a proportion.

Solving Proportions 4 = 24 y 30 4(30) = 24y 120 = 24y 24 24 5 = y 24 24 5 = y 1. Cross Multiply 2. Solve for the variable.

Solving Proportions y 8 8(10) = 5y 80 = 5y 5 5 16 = y 10 = 5 5 5 16 = y 1. Cross Multiply 2. Solve for the variable

Try one on your own… 3 = 12 y 28

And another… 6 = 12 n 24