Chapter 5 Ratios, Proportions, and Percents

Slides:

Advertisements

Similar presentations

Proportions, Ratio, Rate and Unit Rate Review

Advertisements

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.

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

Chapter 5: Ratios, Rates & Proportions Section 3

Proportions Section 6.2. A proportion is a statement that two ratios or rates are equal. Solving Proportions If and are two ratios, then If and are two.

Ratios: a comparison of two numbers using division

1 ratios 9C5 - 9C6 tell how one number is related to another. may be written as A:B, or A/B, or A to B. compare quantities of the same units of measurement.

Chapter 5: Ratios, Rates & Proportions Section 3

Converting Fractions to Decimals

Chapter 11 Sections 11.1, Rational Expressions.

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

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

§ 2.3 The Multiplication Property of Equality. Martin-Gay, Beginning Algebra, 5ed 22 Multiplication Property of Equality If a, b, and c are real numbers,

Section 2.1 Solving Equations Using Properties of Equality.

Chapter 2 Section 6. Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Ratio, Proportion, and Percent Write ratios. Solve proportions.

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

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

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

PRE-ALGEBRA. Lesson 6-2 Warm-Up PRE-ALGEBRA “Proportions” (6-2) What is a “proportion”? What is the “extremes of the proportion”? What is the “means.

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.

ALGEBRA READINESS LESSON 6-5 Warm Up Lesson 6-5 Warm-Up.

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

Multistep Equations Learning Objectives

MTH 231 Section 7.3 Proportional Reasoning. Overview In grades K – 4, a main focus is the development of the additive principles of arithmetic. In the.

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.

Algebra 1 Chapter 2 Section : Solving Proportions A ratio is a comparison of two quantities. The ratio of a to b can be written a:b or a/b, where.

ALGEBRA READINESS LESSON 7-1 Warm Up Lesson 7-1 Warm-Up.

Ratios and Proportions Notes. Ratios A ratio compares two numbers or two quantities. The two numbers being compared are called terms. A ratio can be written.

Holt Algebra Percents 2-8 Percents Holt Algebra 1 Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Warm Up Warm Up.

5-2 to 5-5 Proportions What You’ll Learn To determine if to ratios are proportional To solve for a variable in a proportion.

WARM UP The least common denominator of the fractions and is

Finding Proportions using Cross Multiplication

2-6 Ratios and Proportions

Algebra Mrs. Hubbard.

Solving Linear Equations and Inequalities

Chapter 2 Equations and Inequalities in One Variable

Simplest Form of a Fraction

Click the mouse button or press the Space Bar to display the answers.

Lesson 85 Warm Up Pg. 441.

6.3 Solving Proportions Using Cross Products

Algebra Bell-work 9/1/17 1.) 3x – 3 – x = 2x – 3 2.) 3x – 7 = 3x + 5

Ratios and Proportions

Solving Equations Containing Fractions

Proportions, Ratio, Rate and Unit Rate Review

6.2 Proportions.

Proportions, Ratio, Rate and Unit Rate Review

Proportions TeacherTwins©2014.

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

Using Proportions.

Finding the Percent of a Number

5.1 Ratios, Rates, & Proportions

Unit 6: Ratios: SPI : Solve problems involving ratios, rates, and percents Remember to have paper and pencil ready at the beginning of each.

How do you use proportions to find unknown values?

Proportions Chapter 5 Section 5.3.

Sec 5-1D. Solve Proportions

How do I solve a proportion?

Problems of the Day 1.) 2) y = 18 3) All real Numbers 4) a = – 1

5.1 Ratios, Rates, & Proportions

Bell Work: Compare each fraction using <, =, or >

Algebra 1 Section 3.2.

Ratios and Proportions

Section 4.4 Simplifying Fractions

Lesson 6 Ratio’s and Proportions

Finding Proportions using Cross Multiplication

Multiplying fraction- Cross multiplication method

What is a “ratio”? How do you write a ratio?

Proportions Chapter 7 Section 7.2.

5-1 Objective: Solving proportions.

Ch. 2 Vocabulary 12.)Proportion 13.) Cross products (of proportion)

Using Cross Products Chapter 3.

Presentation transcript:

Chapter 5 Ratios, Proportions, and Percents Section 2: Proportions

Warm Up: What are the three ways of writing a ratio? I drove 489 miles from San Diego to San Jose, California. I had a full tank of 16 gallons of gas in my tank when I left San Diego. I now have ¼ of a tank left. How many miles to 1 gallon did drive?

Proportion An Equality of TWO Ratios. For Example: 6/9 = 8/12 The ratios are equivalent. Which means they reduce to the same fraction in it’s simplest form!

Try This On For Size…a/b = c/d Multiplication Property of Equality (Method 1) (get the denominators to be the same  what is done to the bottom is done to the top) b/b = 1 and d/d = 1 (cancel out stuff on the top and bottom that are the same) ad and bc are called the Cross Products of the proportion a/b = c/d.

Get Common Denominators and Multiply TOP and BOTTOM. PROOF OF PROPORTIONS: Multiplication Property of Equality! If a/b = c/d Simplify Get Common Denominators and Multiply TOP and BOTTOM. Then Cancel!

Cross Product: The Easy Way (Method 2) In a proportion, the cross products of the two ratios are equal! Arithmetic: 6/9 = 8/12 if, 6•12 = 9•8 72 = 72 Algebra: a/b = c/d if, a•d = c•b ad = cb You can use Cross Product to find variables in proportions to make the proportions true.

Try the Two Ways to Find Variables in Proportions: X/9 = 4/6 Method 1: Multiplication Property of Equality. (Common Denominator) Method 2: Cross Product. (Cross Multiply)

Solve Using Your Favorite Method

Do the two Ratios form a Proportion? Two ratios form a proportion if the cross product are equal. Tell me whether each pair of ratios form a proportion by your Favorite Method. 15/20 and 5/7 Yes or No? 7/12 and 17.5/30 Yes or No?

You Can Use Proportions to Solve Word/World Problems One hundred nautical miles equals about 115 standard, or statue, miles. To the nearest mile, how far in statue miles is 156 nautical miles? Let d = distance in statue miles. 100/115 = 156/d 100d = 115(156) d = 179 Proportion  two ratios that are equal. Written as Cross Product Divide Each Side by 100. 156 nautical miles is about 179 statue miles.