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

Slides:



Advertisements
Similar presentations
Review Chapter 4.
Advertisements

Lesson 6-2 Using Proportions Pgs What you will learn: Solve proportions Use proportions to solve real- world problems.
7.1 Ratios and Proportions
CN #3 Ratio and Proportion
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.
EXAMPLE 2 Using the Cross Products Property = 40.8 m Write original proportion. Cross products property Multiply. 6.8m 6.8 = Divide.
EXAMPLE 3 Standardized Test Practice. EXAMPLE 3 Standardized Test Practice SOLUTION The flagpole and the woman form sides of two right triangles with.
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.
Find the slope of the line through each pair of points.
7.6 – Solve Exponential and Log Equations
6.2.1 Use Proportions to solve Geometry Problems.
7-1 Ratio and Proportion Warm Up Lesson Presentation Lesson Quiz
Ratio and Proportion cdcd abab = proportion: two ratios that are equal to each other. cross products of proportions are equal (b)(c) = (a)(d) Review: 2323.
Algebra 1 Notes 3.6 Warm Up Vocabulary 3.6 Ratio: Comparison of two numbers by division. Can be expressed 3 ways. Proportion: Equation stating.
4.2 Solving Rational Equations 1/30/2013. Vocabulary Rational Equation: Equation that shows two rational expressions or fractions are equal. Example:
Chapter 7: Similarity.
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 =
Warm Up 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. 3. 4x + 5x + 6x = 45 4.
Solving Rational Equations Section 7.5 beginning on page 392.
11.1 Ratio and Proportion Objectives: 1.Review ratios 2.Write proportions 3.Solve proportions 4.Use proportions in real life Vocabulary: proportions.
Problem Solving in Geometry with Proportions
I can use proportions to solve problems involving scale.
Solve the following proportions. a = 9 b = 7 c = 6 d = 6.
Scale Drawings & Models
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.
Unit 7 Similarity. Part 1 Ratio / Proportion A ratio is a comparison of two quantities by division. – You can write a ratio of two numbers a and b, where.
Geometry The beginning is the most important part of the work. Plato
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)
Section 4-4 p. 170 Goal – to use proportions to solve problems.
Rational Equations Section 8-6.
Solve and graph on number line.. 2(m + 3.2) + 0.1(2.6m -.2) = 12.8.
Practice 2.2 Solving Two Step Equations.
Prerequisite Skills VOCABULARY CHECK 40 ANSWER What is the least common denominator of and ? Which equation is a direct variation equation,
2.8 – Proportions & Similar Figures “I can solve proportions using scale factors.” “I can find missing side lengths of similar figures.”
Cross Products and Proportions
2.1 – Linear and Quadratic Equations Linear Equations.
Lesson 6-1 Proportions. Objectives Write ratios Use properties of proportions.
Holt Geometry 7-1 Ratio and Proportion Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve.
EXAMPLE 4 Solve an equation with an extraneous solution Solve 6 – x = x. 6 – x = x ( 6 – x ) = x – x = x 2 x – 2 = 0 or x + 3 = 0 0 = x + x – 6 2.
Find the slope of the line through each pair of points.
7.1 OBJ: Use ratios and proportions.
2-1: Properties of Similar Polygons
Copyright © 2014 Pearson Education, Inc.
Finding a Percent of a Number
A proportion is an equation that states two ratios are equal
Ratios and Proportions
Algebra Bell-work 9/1/17 1.) 3x – 3 – x = 2x – 3 2.) 3x – 7 = 3x + 5
Warm Up(On a Separate Sheet)
Scale drawing.
A quadratic equation is written in the Standard Form,
Lesson 6.1 How do you find ratios and unit rates?
7-1 Vocabulary Ratio Proportion Extremes Means Cross products.
Bell Ringer Throw Back Thursday
2 Understanding Variables and Solving Equations.
} 2x + 2(x + 2) = 36 2x + 2x + 4 = 36 4x + 4 = x =
8.5 Solving Rational Equations
By, Mrs. Muller Proportions.
8.5 Solving Rational Equations
Solving a Radical Equation
Goal: The learner will use proportions to find measures of objects.
Solving Multi Step Equations
Problem Solving in Geometry with Proportions
Solving Multi Step Equations
PROPORTIONS.
7.1 Ratio and Proportion.
11-5 Solving Rational Equations
Ch. 2 Vocabulary 12.)Proportion 13.) Cross products (of proportion)
Using Cross Products Chapter 3.
Presentation transcript:

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

Notes Over 11.1 Using the Cross Product Property and Checking Solutions Solve the proportion and check for extraneous solutions.

Notes Over 11.1 Using the Cross Product Property and Checking Solutions Solve the proportion and check for extraneous solutions.

Notes Over 11.1 Using the Cross Product Property and Checking Solutions Solve the proportion and check for extraneous solutions.

Notes Over 11.1 Writing and Using a Proportion 4. You are making a scale model of a sailboat. The boat is 20 feet long and 15 feet high. Your scale model will be 18 inches high. How long will it be? length height in.

Notes Over 11.1