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

Slides:

Advertisements

Similar presentations

Ratio and Proportions. Ratio of a to b The quotient a/b if a and b are 2 quantities that are measured in the same units can also be written as a:b. *

Advertisements

CN #3 Ratio and Proportion

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

Objectives Write and simplify ratios.

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

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.

Geometry Chapter Ratios and Proportions. Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6,

7.1 Ratio and Proportion Textbook page 357.

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

Objectives Write and simplify ratios.

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

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

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

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.

Holt Geometry 7-1 Ratio and Proportion 7-1 Ratio and Proportion Holt Geometry.

Bell Work 1/22/13 1) Simplify the following ratios: a)b)c) 2) Solve the following proportions: a)b) 3) A map in a book has a scale of 1 in = 112 miles,

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

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

Problem Solving in Geometry with Proportions

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.

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.

Course: Geometry pre-IB Quarter: 2nd

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

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

RIGHT TRIANGLE CONGRUENCE WORKSHEET. RATIOS AND PROPORTIONS.

 Students will be able to write and solve ratios  Students will be able to write and solve proportions.

8.1 Ratio and Proportion Geometry Ms. Reser.

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

Ratio and Proportion Day 8. Day 8 Math Review Math Review Quiz Day.

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.

Holt Geometry 7-1 Ratio and Proportion 7-1 Ratio and Proportion Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson.

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.

7.1 OBJ: Use ratios and proportions.

Ratios, Proportions, & Geometric Mean

7.1 Ratio and Proportions Pg 356

Ratios and Proportions

8.1 Ratio and Proportion.

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

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

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

7-1 Vocabulary Ratio Proportion Extremes Means Cross products.

Chapter 7: Proportions and Similarity

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

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

Objectives Write and simplify ratios.

7.1 Notes Ratios and Proportions

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

Chapter 8 Similarity.

6.1 Ratios, Proportions, and the Geometric Mean

7.1 Ratio and Proportion.

Chapter 8 Similarity.

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

Presentation transcript:

7.1 Ratio and Proportion Objectives: I will be able to… Discover and simplify ratios Discover and solve proportions Solve real life problems using ratios & proportions

Intro Who likes Coca-Cola? Ever wonder how much sugar you are really putting into your body each time you drink one?

Vocabulary or a to b or a : b Ratio: comparison of two quantities. Ratio of a and b (3 ways to write it): or a to b or a : b Because a ratio is a quotient, the denominator cannot be zero

Using Ratios Find the ratio of the length to width if AB = 36 cm and BC = 24 cm. A B D C *Always simplify

Using Ratios The perimeter of an isosceles triangle shown is 56 inches. The ratio of LM : MN is 5 : 4. Find the lengths of the sides and the base of the triangle. L 20in:20in:16in M N

Using Ratios The perimeter of a triangle is 45in and the ratio of side is 1:3:5. Find the length of each side. 5, 15, 25 in In a triangle, angles are in the ratio of 3:4:8. Find each angle. 36°, 48°, 96°

Using Ratios in Real Life The ratio of male students to female students in the drama club at Campbell High School is 3:4. If there are a total of 42 students in the club, how many male and female students are there? 18 males and 24 females

Vocabulary Proportion – two equal ratios made up of means and extremes

Are the following equations proportions? b) c) Simplify each ratio!

Vocabulary Cross Product Property– the product of the extremes equals the product of the means. Means ad = bc Extremes

Solving proportions. a) X = 6 b) y = ½ c) z = -8

Using Proportions in Real Life A construction worker is placing rivets in a new bridge. He uses 42 rivets to build the first 2 feet of the bridge. If the bridge is to be 2200 feet in length, predict the number of rivets that will be needed for the entire bridge. 46, 200 rivets!

Exit Ticket So, how many sugar packets do you think are in a 20-oz. bottle of Coca-Cola? Based on the fact that there are 4 grams of sugar in 1 sugar packet, how many sugar packets are actually in a 20-oz. bottle of Coca-Cola?

Geometry Homework: p. 464 #12-14, 30, 40, 44, 46