Chapter 3-9 Proportions –pgs 148-151 9M5:Solve problems involving rates.

Slides:

Advertisements

Similar presentations

Ratio Notes A ratio is a comparison of two numbers by division. Each number in a ratio is called a term. Ratios can be written three ways and SHOULD ALWAYS.

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.

Scale Drawings.

Ratio and Proportion.

Ratio Lesson 4-1 and Proportion.

Problem of the Day 1) Find the Length of the missing side.

6-8 Scale Drawings How did they do that????.

Proportions, Ratio, Rate and Unit Rate Review

Rates, Ratios, and Proportions

A rate is a ratio of two quantities with different units, such as Rates are usually written as unit rates. A unit rate is a rate with a second.

Chapter 5 Ratios, Rates, Proportions

Chapter 5 Ratios, Rates, Proportions

2.5 Solving Proportions Write and use ratios, rates, and unit rates. Write and solve proportions.

Convert Unit ____ Section 1.3 and intro to 1.4 (Proportions)

6.2.1 Use Proportions to solve Geometry Problems.

7 th Grade Pre-algebra Chapter 6 Notes. 6.1 Ratios and Rates Vocabulary Ratio: a comparison of two numbers by division. Rate: a ratio of two measurements.

Chapter 8 Lesson 1 Objective: To write ratios and solve proportions.

Ratios: a comparison of two numbers using division

5-1 Objective: Solving proportions.

Transparency 6 Click the mouse button or press the Space Bar to display the answers.

Unit 3, Lesson 7: Scale Drawings. Scale drawings are used to represent objects that are either too large or too small for a life size drawing to be useful.

7-4 Scale Drawings p  Indicator – M4 Solve problems involving scale factors.

2.6 Ratio, Proportion, and Percent

Solving Proportions 4-2 Bell work: Find two ratios that are equivalent to each given ratio , ,

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

Lesson 3.6- Ratios and Proportions, pg. 155 Objectives: To determine whether two ratios form a proportion. To solve proportions.

6.2 Use Proportions to Solve Geometry Problems. Objectives UUUUse properties of proportions to solve geometry problems UUUUnderstand and use scale.

2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Proportions Similar Figures PercentsApplications.

11.1 Ratios and Proportions Solve proportions. Proportion – equates two ratios extreme mean This proportion is read as “a is to b as c is to d.” You must.

Transparency 3 Click the mouse button or press the Space Bar to display the answers.

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

RATIOS AND PROPORTIONS

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 4 Rates, Ratio, and Proportions.. Ratio- Is the comparison of two quantities that have the same units, often written in fraction form.Is the comparison.

Rates, Ratios, and Proportions

Notes Over 11.1 Proportions Vocabulary Proportion - an equation that states that two ratios are equal. Cross Product Property - the product of the extremes.

Cross Products and Proportions

Transparency 3 Click the mouse button or press the Space Bar to display the answers.

Chapter 6.2 Notes: Use Proportions to Solve Geometry Problems Goal: You will use proportions to solve geometry problems.

Lesson 7-4 Pages Scale Drawings Lesson Check 7-3.

3.9 Proportions Goal to solve problems involving proportions.

Holt Algebra Rates, Ratios, and Proportions 2-6 Rates, Ratios, and Proportions Holt Algebra 1 Lesson Quiz Lesson Quiz Lesson Presentation Lesson.

 A fraction is a part of a whole  The numerator is the top number of the fraction (it represents the part)  The denominator is the bottom number of.

Vocabulary ratio: a comparison of two numbers through division often expressed as a fraction. Proportion: An equation that states that two ratios are equal.

Chapter 3 Unit Question What are the uses of division in Algebra?

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.

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

Holt Algebra Rates, Ratios, and Proportions Warm Up Solve each equation. Check your answer. 1. 6x = m = y =18.4 Multiply. 6.7.

2.1 Rates, Ratios, and Proportions EQ: How can I use units to understand problems and guide the solution of proportions?

Understanding Ratios Proportions We will solve problems using ratios and proportions.

RATIOS and PROPORTIONS Objectives: Set up Proportions Solve Proportions.

Objective Today you will learn how to change a fraction to a decimal and a percent!

Scale Drawing/Scale Models

3.9 Continued….Word Problems Involving Proportions

4.7 Ratios, Proportions, & Converting Units of Measure

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

Ratio and _________.

Rates (unit Rate) Ratio Solving

3.5 Writing Ratios & Proportion

Scale Drawings Sec 5. 2-B pg

Goal: The learner will use proportions to find measures of objects.

8.2 Problem Solving with Proportions

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

Algebra 1 Section 3.2.

7.1 Ratio and Proportion.

To Start: 10 Points Find the unit price of 40 gallons of gas for $132 $3.30 per gallon There are 64 boys and 72 girls in the 7th grade. Find the ratio.

5-1 Objective: Solving proportions.

Presentation transcript:

Chapter 3-9 Proportions –pgs M5:Solve problems involving rates

Proportion 2 ratios (fractions) that are equal. Ex:

Cross Products Product of opposite numerators and denominators are equal (for equal fractions) 36 We use this property to solve a proportion! =

Notes Use cross products to solve Used for many types of problems (unit rate, scale drawings ratios…..) any time two units are being compared Set up word problems in words first!!!!

Example #1 Solve for x. 60 = 3x = x

Example #2 A certain car can travel 180 miles on 12 gallons of gas. How far can this car travel on 20 gallons of gasoline? Set up in words Now solve!

Example 3 A blue print is drawn so that ¼ in is 1 foot of the original size. If the actual kitchen is 14 feet long, how long will it appear on the print? Set up in words i = The kitchen on print is 3 ½ inches

Example 4 Twenty deer are tagged and released into the wild. On a hunt in that area 3 of the 25 deer killed are tagged. What is the approximate population of deer in that area? Set up in words = 3x 167 ≈ x About 170 deer in area

Example 5 The ratio of boys to girls in a class is 3:2. If there are 210 students, how many are girls? This one is tricky! What is being compared? 3 boys and 2 girls is 5 students Now Solve!!

Assignment 3-9/ /22-34e,35-43,45,46,55-59,61 (Omit 39)