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

Slides:

Advertisements

Similar presentations

Adding and Subtracting Fractions with Like Denominators.

Advertisements

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.

Ratio and Proportion.

Ratio Lesson 4-1 and Proportion.

Chapter 5 Ratios, Rates, Proportions

Chapter 5 Ratios, Rates, Proportions

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.

4.3 Solving Proportions and Applications of Proportions 1 Solving equations of the form a  x = b Before we begin solving proportions, we’ll begin by solving.

Ratios: a comparison of two numbers using division

ratio percent Write fractions as percents and percents as fractions.

Bell Work Kara is planning to drive from New York to San Francisco in her car. Kara started to fill out the table below showing how far in miles she can.

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

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

Percents and Fractions. Vocabulary A percent is a ratio that compares a number to 100. It means “per 100.” 49 out of 100 is 49%.

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

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.

Lesson 1.1 Using Variables. 1.1 – Using Variables Goals / “I can…” Model relationships with variables Model relationships with equations.

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.

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.

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.

Do Now. Unit 7: Ratios, Rates and Proportions What we will learn and be able to: Compute unit rates involving ratios with a fraction in the denominator.

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

Solving a Proportion by “Cross” Multiplying

Converting units within a measurement system 6.4(H)

Write and Solve Proportions

Finding Proportions using Cross Multiplication

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

RATIOS and PROPORTIONS

A proportion is an equation that states two ratios are equal

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

Lesson 4 – Represent Proportional Relationships with Equations

Chapter 5 Ratios, Proportions, and Percents

Ratios and Proportions

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

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

Solving Two-Step Equations

6 Ratio, Proportion, and Line/Angle/Triangle Relationships.

Ratio and _________.

6.4 Problem Solving with Proportions

Fractions Subtracting Like Denominators

Proportions, Ratio, Rate and Unit Rate Review

Rates (unit Rate) Ratio Solving

Proportions, Ratio, Rate and Unit Rate Review

Equivalent ratios.

Proportions TeacherTwins©2014.

Fractions: Subtracting Like Denominators

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

Warm-up October 26, 2017 Factor: 66B + 12A – 14

Proportions Determine if the ratios can form a proportion. , b. a.

2 Understanding Variables and Solving Equations.

3.5 Writing Ratios & Proportion

Direct Variation Direct Variation: y y

Fractions VI Adding Like Denominators

Which fraction is the same as ?

Old Thoughts…… Proportional relationships have a constant ratio, or unit rate. The graph of a proportional relationship is a straight line that passes.

Sec 5-1D. Solve Proportions

How do I solve a proportion?

Fractions VII Adding Like Denominators

Problem of the Day The last time you bought pizza, 3 pizzas were enough to feed 7 people. At that rate, how many pizzas should you buy for a party for.

Percents, Fractions, and Decimals

Algebra 1 Section 3.2.

Ratios and Proportions

Understanding Proportions

Finding Proportions using Cross Multiplication

Fractions VII Subtracting Like Denominators

Solving Proportions Identify and use ratios to compare quantities; understand that comparing quantities using ratios is not the same as comparing.

1. The car used 3 gallons of gas to travel 175 miles.

Using Cross Products Chapter 3.

Presentation transcript:

Bell Work: Compare each fraction using <, =, or > 3/5 7/9 1/3 5/15 4/9 2/3 8/48 1/8 14/25 14/25

Understanding Proportions

What is a proportion? A proportion is an equation stating that two ratios are equal.

Examples: Do the ratios form a proportion? Yes, these two ratios DO form a proportion, because the same relationship exists in both the numerators and denominators. 7 21 , 10 30 x 3 ÷ 4 8 2 No, these ratios do NOT form a proportion, because the ratios are not equal. , 9 3 ÷ 3

You Try… Example 1: 9/10, 27/30 If you simplify, 27/30 = 9/10, so YES, THESE RATIOS ARE PROPORTIONAL!

You Try… Example 2: 72/81, 7/9 8/9 = 7/9 NO!

You Try… Example 3: 2/5, 8/20 2/5 = 2/5 YES!

To complete a proportion… Write a rate for what you “KNOW” Equals sign Follow same order & set up second rate using a variable for what you “DON’T KNOW”

Example ÷ 5 35 7 = 40 8 ÷ 5

Example 4: A hybrid car can travel 260 miles using 5 gallons of gas. How many miles can it go using 15 gallons of gas? Step 1 Step 2 Step 3 = x mi X = 260 x 3 X = 780 260 mi 15 gal 5 gal