Ratio and Proportions Essential Questions

Slides:

Advertisements

Similar presentations

Warm Up  Materials Needed: tape measure, pencil, and paper  With the assistance of your group members, record the following measurements:  Your wrist.

Advertisements

7.1 Ratios and Proportions

Before: October 20, An artist sketches a person. She is careful to draw the different parts of the person’s body in proportion. What does proportion.

CN #3 Ratio and Proportion

6.1 – Ratios, Proportions, and the Geometric Mean

8.1, 2, 7: Ratios, Proportions and Dilations

Unit 8 Similarity Ratios, Proportions, Similar Polygons

Bellwork – 1/6/15. Unit 6: Section 6.1 Ratios, Proportions, and the Geometric Mean (Starts on Page 356)

Ratio and Proportion.

7.1 Ratio and Proportion Textbook page 357.

7-1 Ratio and Proportion Warm Up Lesson Presentation Lesson Quiz

Objectives Write and simplify ratios.

Chapter 6.1: Similarity Ratios, Proportions, and the Geometric Mean.

Ratio and proportion. Definition of a ratio If a and b are two quantities that are measured in the same units, then the ratio of a to b is a/b. If a and.

7-1 Ratio and Proportion Warm Up Lesson Presentation Lesson Quiz

Comparing Ratios of Perimeters and Areas Of Similar Figures.

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 =

Geometry Section 6.1 Ratios, Proportions, and the Geometric Mean.

7.1 Ratio and Proportion Objectives: I will be able to…

Warm-Up Solve each equation for x. 1) 3x = 5 2) 2x – 1 = 10 3) 5x + 3x = 14.

Ratios & Proportions 7-1 Geometry FRIDAY, Nov. 4.

7-1 Using Proportions Recognize and use ratios and proportions.Recognize and use ratios and proportions. Apply the properties of proportions.Apply the.

4.1 Ratio and Proportion Ratio – comparison of two numbers by division. –Can be written: a to b a : b where b ≠ 0. If a and b represent quantities measured.

Solve the following proportions. a = 9 b = 7 c = 6 d = 6.

Chapter 6.1 Notes: Ratios, Proportions, and the Geometric Mean Goal: You will solve problems by writing and solving proportions.

Geometry 6-1 Big Idea: Use Ratios & Proportions. A comparison of two numbers Ratio A comparison of two numbers Ex.1) ½, 1:2 Ex.2) 3, 3:4 4.

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

Course: Geometry pre-IB Quarter: 2nd

Chapter 7 Vocab Review. 1. Write the generic formula (proportion) for geometric mean (x) of two positive numbers a & b.

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.

A ratio is a comparison of two quantities using division. The ratio of quantities a and b can be expressed as a to b, a : b, or, where b ≠ 0. Ratios are.

EquationsFunctionsInequalities Domain & Range Polynomials.

RIGHT TRIANGLE CONGRUENCE WORKSHEET. RATIOS AND PROPORTIONS.

7-1 Ratios and Proportions Class Notes and Examples.

8.1 Ratio and Proportion Geometry Ms. Reser.

8.1 Ratio and Proportion Geometry--Honors Mrs. Blanco.

Introduction to Ratio, Proportion, and Similarity.

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.

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.

Entry task…. 1) The table below gives the wins and losses of a baseball team. In which year did the team have the best record? Explain. YearWinsLoses

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,

Chapter 8.1 Notes Ratio – if a and b are 2 quantities that are measured in the same units, then the ratio of a to b is a/b. (i.e. a ratio is a fraction)

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

simplify radical expressions involving addition and subtraction.

Ratios, Proportions, & Geometric Mean

Ratios, Proportions, and the Geometric Mean

7.1 Ratio and Proportions Pg 356

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.

Ratios and Proportions

8.1 Ratio and Proportion.

7.7: Perimeters and Areas of Similar Figures

Ratio and Proportion Unit IIA Day and 8.2.

Chapter 7-1: Proportions

LEARNING GOALS – LESSON 7:1 EXAMPLE 1A: WRITING RATIOS

8.1 Ratio and Proportion.

8.1 Exploring Ratio and Proportion

Section 7-1 Ratios and Proportions

7-1 Vocabulary Ratio Proportion Extremes Means Cross products.

Chapter 7: Proportions and Similarity

Ratio Ratio – a comparison of numbers A ratio can be written 3 ways:

Ratios, Proportions, and the Geometric Mean

Lesson 13, 18, 39, & Investigation 4: Introduction to Triangles

Lessons 4.1 & 5.5: Introduction to Triangles

7.1 Notes Ratios and Proportions

Ratios, Proportions, and the Geometric Mean

7.2 Ratios and proportions

6.1 Ratios, Proportions, and the Geometric Mean

7.1 Ratio and Proportion.

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

Chapter 8 Similarity.

Presentation transcript:

Ratio and Proportions Essential Questions How do we find and simplify the ratio of two numbers? How can we use proportions to solve real world problems?

Ratios A comparison of two or more numbers that use addition Usually expressed in lowest terms: Are expressed without units Convert to “like” units so they cancel Ratios with unlike units are called unit rates such as mpg, mph, etc… Probability – the ratio of the number of successful outcomes to the number of total incomes

Example of ratios If 7 students in one class have pets and 18 do not, what is the ratio of the number of students who have pets to the total number of students?

Example of Ratios In an art class, 12 students report that drawing is their favorite medium. If there are 18 students in the class, what is the ratio of students who prefer drawing to the total number of students?

Comparing Ratios An orchard has 80 apple trees and 60 peach trees. Analyze the orchard’s mix of fruit trees. Does the orchard have a higher ratio of apple trees to the total number of trees? Or does the orchard have a higher ratio of peach trees to the total number of trees?

Proportions An equation that equates 2 ratios. Solved by setting the product of the means equal to the product of the extremes. a and d are the extremes, b and c are the means then ad = bc

Proportions Use cross-products to solve.

Using ratios Find x if the triangles are similar (sides are proportional to each other) x 45 20 30

Using Ratios Perimeter of a rectangle is 60. Ratio of length to width is 3:2. Find the length and width. Think of the length as “3x” and the width as “2x.” 3x + 3x + 2x + 2x = 60 10x = 60 x = 6 So the length is 3(6) = 18 and the width is 2(6) = 12.

Using Ratios The measure of the angles in this triangle is the extended ratio of 1:2:3. What are the measures of the angles? x + 2x + 3x = 180 6x = 180, so x = 30. 1 = 30, 2 = 60, 3 = 90

Using Ratios B If AB:BC is 7:4, find m. 19m + 3 12m A C

Factoring Review…..Yikes…..

Homework Worksheet