Chapter 5: Division and Proportion in Algebra Lesson 5: Ratios.

Slides:

Advertisements

Similar presentations

Lesson 26 Percent of a Quantity

Advertisements

Holt CA Course Percent of Change Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

Ratio, Proportion, and Percent

5-2 Identifying and Writing Proportions Warm Up Problem of the Day

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.

Ratio Lesson 4-1 and Proportion.

7-3 Proportions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

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.

Ratios and Unit Rates Lesson 6-1 & 6-2.

Lesson Objective: I can… Restate a ratio in terms of its value.

9-3 6 th grade math Finding a Percent of a Number.

Chapter 23 Review Adv. Math. Find the % of the number. 75% of 120.

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?

Linear equations and Inequalities UNIT 3. Section 1 Solving One-Step Equations and Inequalities Use the opposite operation to isolate a variable Be sure.

A B C A comparison of two values that are measured using different units is known as a ______________ rate ratio proportion End Review I NEED HELP!

2-6 Ratios and Proportions

Preparation for NS1.4 Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips.

Percent Increase and Decrease

Unit Three Ratios and Proportional Relationships Why do we learn vocabulary in math??

ratio percent Write fractions as percents and percents as fractions.

Lesson 3- using rules of exponents The exponent, tells the number of times that the base is used as a factor 2 3 is defined as 2 times 2 times 2.

Section 3.9 Percents Mr. Beltz & Mr. Sparks. Ratio A PERCENT is a ratio that compares a number to 100. You can write a percent as a FRACTION, DECIMAL,

Review. 1) 45% of 355 is what? Translate: Change the percent to a decimal What does “of” mean? What does “is” mean? What does “what” mean? Do the math.

Chapter 7 Proportional Reasoning Section 7.1 The Concept of Ratio.

1/29/13. Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation x + 5 x + 6 x =

Introduction to Percents

Bell Ringer 11-7 ( Do in notebook) 5 minutes 1. Express 20% as a fraction in lowest terms and as a decimal Express 134% as a decimal. Express 6.5%

Basic Operations & Applications Unit. Solving Arithmetic Problems Involving Percent Types of percent problems -What (number) is m% of n? -m is what percent.

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

Ratios, Rates and Unit Rates Honors Math – Grade 7.

Fractions, Decimals, and Percents

Course Ratios and Proportions Warm Up Write each fraction in lowest terms

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

Today’s subject is… Ratios and Percents Mr. Whalen.

Lesson 9 Solving Problems Using Ratios, Rates, Proportions, and Percents.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 7–5) Then/Now New Vocabulary Key Concept: Percent of Change Example 1: Find the Percent of Change.

Chapter 7 Proportional Reasoning

Chapter 4 Fractions, Decimals, and Percent.. Day 1.

Unit 1 Ratios and Unit Rates Unit 1 Ratios and Unit Rates.

APPLICATIONS OF PERCENT Chapter 6. Fractions, Decimals, & Percents A percent is a ratio that compares a number to 100 To change a decimal to a percent,

Holt CA Course Percent of a Number 6-4 Percent of a Number NS1.4 Calculate given percentages of quantities and solve problems involving discounts.

4-3 Identifying and Writing Proportions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.

Ratios and Proportional Relationships Unit Rates and Complex Fractions Proportional ? ConstantofProportionality Proportions by Equations Multistep Ratio.

7-3 Proportions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

Course Ratios and Proportions 5-1 Ratios and Proportions Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson.

Pre-Algebra 7-1 Ratios and Proportions Warm Up Write each fraction in lowest terms. Pre-Algebra 7-1 Ratios and Proportions

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

5-4 Identifying and Writing Proportions Warm Up Problem of the Day

Holt Algebra Percent Increase and Decrease Find percent increase and decrease. Objective.

Proportions #27. A proportion is an equation that shows two equivalent ratios. Read the proportion = as “two is to one as four is to two.” 2 1 __ 4 2.

Transparency 8 Click the mouse button or press the Space Bar to display the answers.

Chapter 3 – Solving Linear Equations Algebra I A - Meeting 16 Section 3.5 – Write Ratios and Proportions Ratio – uses division to compare to quantities.

MATH SOL 7.4 Rates, Ratios, and Proportions

Example 1 Use Ratios Brandy paid $6.75 for 3 pounds of mixed nuts. At this price how much would 5 pounds cost? Let x represent the price for 5 pounds of.

Applications of Percents

8th Grade Math Chapter 6 Review

5-4 Identifying and Writing Proportions Warm Up Problem of the Day

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Ratios and Proportions

Percent Increase and Decrease

Proportion and Percents

Math 5-7: Percent of Change

Rational Numbers, Factors, and Multiples Part 2

By, Mrs. Muller Proportions.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Ratio, Proportion, and Percent

Calculating: Discount Prices

Fifth Grade Math Course I

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Presentation transcript:

Chapter 5: Division and Proportion in Algebra Lesson 5: Ratios

Vocabulary Ratios Ratios – are _______________________________ of ____________ quantities with the ________________ type of units. (example: length of side a of a square compared to the length of side b of another square would be ) Ratios can be written as ______________, ____________ or ________________. Ratios are most commonly written as _______________. comparisons sametwo fractionsdecimals percents fractions

Vocabulary Tax rate - is the __________of the tax amount to the selling price. ( ) Discount rate – is the _________of the discount amount to the original price. ( ) ratio

Example 2: It takes Mrs. Sweet hour to get to school each day. It takes her daughter only 10 minutes to get to her school where she also teaches Math. Find the ratio comparing the daughter’s time to Mrs. Sweet’s time.

Ratios and Percents Example 3: A TV that normally sells for $400 is on sale for $340. The tax on the sale price is $23.80, so the total cost with tax is $ a) Find the discount rate. b)Find the tax rate. c) Including tax, how much would a customer save by buying the TV on sale?

Using Ratios to Set Up Equations Example 4: Instructions for preparing a lemonade drink call for 3 parts of water for each part of lemonade concentrate. How much of each ingredient is needed to make 10 gallons of lemonade?

Example 5: Susan is painting her bedroom wall pink. To get the desired pink color, she must mix 1 part red paint with 3 parts of white. How much white paint and red paint is needed to make 5 gallons of the pink paint?

Changing Ratios If the numerator or denominator changes in a ratio, then the ratio changes as well. For instance, Ben is 6 years old and his little sister Ella is 2. The ratio of Ben’s age to Ella’s age is. Ben is 3 times as old as Ella. In two years, the ratio changes to. Now Ben is only 2 times as old.

Example 6: Suppose a team has won 15 of its first 38 games. How many games must it win in a row to bring its winning percentage to at least 0.500?

5-Minute Check What is a ratio? How is it different from a rate? How do you find the percent discount? How do you find the percent tax? Tell whether the fractions equal the ratio of 4 to 3.