Chapter 7: Similarity.

Slides:

Advertisements

Similar presentations

9-1: Using Ratios and Proportions. R ATIO : A comparison of two numbers by division ▫ Ratios can be written a variety of ways  45 to 340  45:340  45.

Advertisements

7.1 Ratios and Proportions

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.

Chapter 5 Ratios, Rates, Proportions

Chapter 5 Ratios, Rates, Proportions

Writing and Solving Proportions. Proportions Proportion is an equation stating that two ratios are equivalent. Proportional are two quantities that form.

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

Finding a Percent of a Number Lesson 6-7. Using a Proportion Set up a proportion that uses the percent over 100. Cross multiply to write an equation.

7.1 Ratio and Proportion Textbook page 357.

Homework: Chapter 10-1 Page 499 # 1-27 Odds (Must Show Work)

5-1 Objective: Solving proportions.

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 =

{ Section 8.1 Ratio and Proportion OBJECTIVE: To write ratios and solve proportions To write ratios and solve proportions BIG IDEA:Proportionality ESSENTIAL.

6.1.1 RATIOS, PROPORTIONS, AND THE GEOMETRIC MEAN Chapter 6: Similarity.

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.

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

Chapter 10 L10-1 Notes: Ratios. Vocabulary A ratio is a comparison of two numbers by division.

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.

Finding a Percent of a Number

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

Ms. Ryan MCATC Medical Math  A ratio is composed of 2 related numbers separated by a colon.  A statement of how two numbers compare.  A.

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.

Similar Triangles Triangles that have the same shape but not necessarily the same size. Corresponding angles are congruent. Meaning they have the same.

3.9 Proportions Goal to solve problems involving 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.

Groundhog Day A 16 inch tall groundhog emerges on Groundhog Day near a tree and sees its shadow. The length of the groundhog’s shadow is 5 inches, and.

CHAPTER 7: SIMILARITY 7.1 Ratio and Proportion. A RATIO is… A comparison of a number “a” and a nonzero number “b” using division Ratios can be written.

Using Proportions Math 8 Feb. 9.  We can use what we know about ratios and proportions to solve word problems Ratio  A comparison of two or more quantities.

Algebra 1 Section 11.1 Solve proportions A ratio is a comparison of two quantities. A proportion is an equation that sets two ratios equal. = Find the.

CHAPTER 7.1 RATIO AND PROPORTION. RATIO A ratio compares two numbers by division. The ratio of two numbers a and b can be written as a to b; a:b; or a/b,

Ratios & Proportional Relationships. Ratios Comparison of two numbers by division. Ratios can compare parts of a whole or compare one part to the whole.

Finding a Percent of a Number

Skills practice 9 handout (1 – 12) odd and 13 – 22 (all)

Copyright © 2014 Pearson Education, Inc.

Solving Linear Equations and Inequalities

Finding a Percent of a Number

A proportion is an equation that states two ratios are equal

Before: March 28, 2016 An artist sketches a person. She is careful to draw the different parts of the person’s body in proportion. What does proportion.

Proportions and Percent Equations

Lesson 5-1: Using Proportions

Finding a Percent of a Number

Section 8.1 Ratio and Proportion

Section 8.1 Ratio and Proportion

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

Lesson 5-1 Using Proportions.

Section 5.3A Solving Proportions Section 5.3A Solving Proportions

2-6 Ratios and Proportions

Ratio and _________.

Using Proportions.

Finding the Percent of a Number

Objective: Understand what proportions are, setting the up and solving

Finding a Percent of a Number

Finding a Percent of a Number

Lesson 5-1 Using Proportions.

Percents Chapter 7 Section 7.5.

Lesson 5-1: Using Proportions

Section 8.1 Ratio and Proportion

Lesson 6 Ratio’s and Proportions

Warm Up Find the slope of the line through each pair of points.

5-1 Objective: Solving proportions.

Ratio A ratio is a comparison of two numbers such as a : b. Ratio:

Using Cross Products Chapter 3.

Presentation transcript:

Chapter 7: Similarity

7-1 Ratios and Proportions Objective To write ratios and solve proportions

Write the ratio in simplest form. A comparison of two numbers Notation: words, colon, fraction or decimal (b 0) Proportion: An equation stating two ratios are equal Example: Write the ratio in simplest form.

Solving a Proportion Steps: 1. Cross multiply 2. Divide Solve the following proportions:

Additional Examples 6120 = 24(x + 50) 714 = 21(x – 23)

Example 1 In a photograph, Dan is 2.5 inches tall and his sister Emma is 1.5 inches tall. Dan’s actual height is 70 inches. What is Emma’s actual height? Dan’s picture height Dan’s actual height 2.5 70 = 1.5 x Emma’s picture height Emma’s actual height 2.5x = 105 x = 42 inches

Extremes and Means The first and last numbers in a proportion are the extremes. The middle two numbers in a proportion are the means.

Properties of Proportions

Write an equivalent proportion. 7-1 p. 436: 15-31 odd