7-1 Ratios and Proportions. Problem 1: Writing a Ratio The bonsai bald cypress tree is a small version of a full-sized tree. A Florida bald cypress tree.

Slides:



Advertisements
Similar presentations
7-1 Ratio and Proportions. Ratio and Proportion The ratio of one number to another is the quotient when the first number is divided by the second. This.
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.
Congruence and Similarity
EXAMPLE 2 Use a ratio to find a dimension SOLUTION Painting You are planning to paint a mural on a rectangular wall. You know that the perimeter of the.
EXAMPLE 3 Standardized Test Practice.
EXAMPLE 3 Standardized Test Practice. EXAMPLE 3 Standardized Test Practice SOLUTION The flagpole and the woman form sides of two right triangles with.
Today, I will learn the formula for finding the area of a rectangle.
 Similar figures have the same shape, but not necessarily the same size. (((add to vocabulary section of your notebook)))
5-5 Similar Figures Warm Up Problem of the Day Lesson Presentation
Find the slope of the line through each pair of points.
Similar Figures 4-3 Problem of the Day A rectangle that is 10 in. wide and 8 in. long is the same shape as one that is 8 in. wide and x in. long. What.
6.1 – Ratios, Proportions, and the Geometric Mean Geometry Ms. Rinaldi.
6.1 – Ratios, Proportions, and the Geometric Mean
Bellwork – 1/6/15. Unit 6: Section 6.1 Ratios, Proportions, and the Geometric Mean (Starts on Page 356)
This is Math Jeopardy! Proportions Similar Polygons Similar Triangles Ratios Word Problems Miscellaneous
Geometry 7.1 Ratio and Proportion.
Objectives Write and simplify ratios.
5 CM 4 CM Calculation Area = Length times Width (lw or l x W) Note Length of a rectangle is always the longest side.
Similar Figures You will need two different colored highlighters Not all slides are used in the notes.
Evaluating Algebraic Expressions 5-5 Similar Figures Preparation for MG1.2 Construct and read drawings and models made to scale. California Standards.
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.
Warm Up Lesson Presentation Lesson Quiz
Geometry Section 6.1 Ratios, Proportions, and the Geometric Mean.
Ratio and Proportion Ratio - Given two numbers x and y, y  0, a ratio is the quotient x divided by y. A ratio can be written as x to y, x:y, or x/y. All.
Warm-Up Solve each equation for x. 1) 3x = 5 2) 2x – 1 = 10 3) 5x + 3x = 14.
More Applications of Proportions SIMILAR FIGURES.
Ratio and Proportion 7-1.
Geometry 7-2 Solving Similar Δ’s Proportions can be used to find the missing lengths of similar figures. Ex) ΔCAB ~ ΔTRS. Find RT.
Chapter 6.1 Notes: Ratios, Proportions, and the Geometric Mean Goal: You will solve problems by writing and solving proportions.
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.
1 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt Ratios/ Proportions Similar.
EXAMPLE 2 Use a ratio to find a dimension SOLUTION Painting You are planning to paint a mural on a rectangular wall. You know that the perimeter of the.
Course Similar Figures 7-4 Similar Figures Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.
Course Similar Figures Warm Up Solve each proportion. b = y5y5 = p9p9 = m = 4. b = 10y = 8 p = 3 m = 52.
Entry Task: Work ONLY problems 3 & 4 on the sheet on your tables.
7-1 Ratios and Proportions Class Notes and Examples.
 Students will be able to write and solve ratios  Students will be able to write and solve proportions.
Similar Triangles Triangles that have the same shape but not necessarily the same size. Corresponding angles are congruent. Meaning they have the same.
Module 5 Test Review. Solve the following Triangle Angle X: ________ X: __________ Y: ___________.
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.
Jeopardy $100 Similar? Missing SideScale Factor Vocabulary Word Problems $200 $300 $400 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300.
Find the slope of the line through each pair of points.
Warm-ups - Chapter 5 01/12 page 168 #3-8 all (CE)
A ratio compares two numbers by division
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Ratios, Proportions, and the Geometric Mean
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.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
UNIT 8: 2-D MEASUREMENTS PERIMETER AREA SQUARE RECTANGLE PARALLELOGRAM
Ratio & Proportions Practice
Chapter 7-1: Proportions
LEARNING GOALS – LESSON 7:1 EXAMPLE 1A: WRITING RATIOS
7-1 Vocabulary Ratio Proportion Extremes Means Cross products.
Ratio Ratio – a comparison of numbers A ratio can be written 3 ways:
Similar triangles.
Similar Figures Use a proportion to compare similar sides to solve for an unknown length. If each pair of figures is similar, find the length of x
Ratios, Proportions, and the Geometric Mean
7.2 Ratios and proportions
Warm Up Solve each proportion. = = 1. b = y = 8 = = m = 52
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
6.1 Ratios, Proportions, and the Geometric Mean
By- Sabrina,Julianna, and Killian
Similar Figures The Big and Small of it.
7.1 Ratio and Proportion.
Ratio and Proportion Section 7-1.
Warm Up Find the slope of the line through each pair of points.
Using Similar Figures ABC is similar to DEF. Find the value of c. =
Presentation transcript:

7-1 Ratios and Proportions

Problem 1: Writing a Ratio The bonsai bald cypress tree is a small version of a full-sized tree. A Florida bald cypress tree called the Senator stands 118 ft. tall. What is the ratio of the height of the bonsai to the height of the Senator

A bonsai tree is 18 in. wide and stands 2 ft. tall. What is the ratio of the width of the bonsai to its height

Problem 2: Dividing a Quantity Into a Given Ratio

The measures of two supplementary angles are in the ratio 1:4. What are the measures of the angles?

Problem 3: Using an Extended Ratio The lengths of the sides of a triangle are in the extended ratio 3:5:6. The perimeter of the triangle is 98 in. What is the length of the longest side?

The lengths of the sides of a triangle are in the extended ratio 4:7:9. The perimeter of the triangle is 60 cm. What is the length of the longest side?

Problem 4: Solving a Proportion

Problem 5: Writing Equivalent Proportions