RATIO AND PROPORTIONS UNIT MULTIPLICATIVE THINKING RATIO BOY! CCSS.6.RP.3: Use ratio (and rate) reasoning to solve real-world and mathematical problems.

Slides:

Advertisements

Similar presentations

Auditorium Problem 6.RP - Understand ratio concepts and use ratio reasoning to solve problems. 7.RP - Analyze proportional relationships and use them.

Advertisements

Algebra IA – Chapter 2 Problems for Today.

SOLUTION EXAMPLE 2 Standardized Test Practice Corresponding side lengths are proportional. KL NP = LM PQ KL 12m = 10m 5m5m KL= 24 Write a proportion. Substitute.

DO NOW ft 4ft On a Sunny Day, a person who is 6ft tall casts a 4ft shadow. This is proportional to the height of a nearby flagpole which casts.

8-1 Converting Customary Units Learn to convert customary units of measure.

George Washington’s Nose

3-5: Proportions and Similar Figures

Introduction Congruent triangles have corresponding parts with angle measures that are the same and side lengths that are the same. If two triangles are.

Daily Review 1. Using the distributive property rewrite the sum of as a multiple of a sum whose addends have no common factors of the following.

Ratios. What does a ratio do? O A ratio compares values. O It tells us how much of one thing there is compared to another thing. O There are 3 orange.

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.

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.

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

Chapter 4 Ratios and Proportions.

1-9 applications of proportions

Welcome to Math 6 +-x Problem Solving Using Indirect Measurement

Copyright © Cengage Learning. All rights reserved. Rational Expressions and Equations; Ratio and Proportion 6.

LESSON 8.3B: Applications OBJECTIVE: To solve real-life problems using similar triangles/indirect measurement.

Similar figures have exactly the same shape but not necessarily the same size. Corresponding sides of two figures are in the same relative position, and.

Math Similar Figures.

If I want to find the height of the tree, what measures do I need to know?

Warm Ups 1) A student has completed 12 out of 34 homework assignments. At this rate, how many assignments would the student complete out of 85 assignments.

Equivalent Ratios CCSS.6.RP.3: Use ratio (and rate) reasoning to solve real-world and mathematical problems (by reasoning about tables of equivalent ratios).

Proportional Reasoning Section 2.3. Objectives:  To solve problems using proportional reasoning.  Use more than one method to solve proportional reasoning.

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

Problems of the Day 1) 2)Challenge: Two triangles are similar. The ratio of the lengths of the corresponding sides is If the length of one side of the.

More Applications of Proportions SIMILAR FIGURES.

Warm Up Find two ratios that are equivalent to each given ratio , , , , Possible.

Proportions & Similar Figures. Proportions A proportion is an equation that shows two equivalent ratios. NS 1.3.

Chapter 7 Proportional Reasoning Section 7.2 Proportional Variation and Solving Proportions.

Indirect Measurement Lesson 4-7.

P.O.D. Use your knowledge of proportions to solve for x = x 24 3  24 = 8  x 72 = 8x ÷8 9 = x Use your knowledge of proportions to solve for t.

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

Bell Work. In this section, you have solved many equations. Sometimes these equations were given to you. Other times they came from specific situations.

Entry Task: Work ONLY problems 3 & 4 on the sheet on your tables.

5-5 Similar Figures Matching sides are called corresponding sides A B C D E F 1.) Which side is corresponding to ? 2.) Which side is corresponding to ?

Proportional Reasoning

2.3 - Direct Variation.

Warm Up 1) Find the slope of a line that goes through the points (-3, 5) and (11, -2) 2) Write the equation of a horizontal line that goes through the.

Ratios, Rates & Proportions Warm Up Complete the handout.

Do Now Find the missing sides. 1) 15 5 y ) x – 2 32 y = 7x = 26.

MA.912.A.5.4: Solve algebraic proportions. The length to height ratio of a rectangular window is 5 inches to 4 inches. What is the height of this window.

Aim: How do we solve proportion problems?

Do Now Find the missing sides. y = 7 x = 26 2) 1) x – y

Ratio and proportions Project A ratio buddy!

Lesson 8.8 Similar Polygons

Similarity and Indirect Measurement

Similar Polygons & Scale Factor

Ratios and Proportions

Lesson 6.5 Similarity and Measurement

Warm Up 1. Points (7, y) and (1, 3) are on a line that have a slope of 2/5 . Find the value of y. 2. Which of the following equations represent a direct.

Similar Polygons & Scale Factor

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

Similar Figures To find an unknown side length in similar figures:

Similar Polygons & Scale Factor

Warm-Up New Seats After you find your seat take a worksheet from the front table and work on the sides with the triangles Take out blue sheet when finished.

9.2 Notes: Solving Right Triangles

2.3 - Direct Variation.

What scale factor is used to solve this problem?

Main Idea and New Vocabulary Key Concept: Similar Figures

Geometry Topics Name: __________________________

Similar Figures and Indirect Measurement

Main Idea and New Vocabulary Key Concept: Similar Figures

Similar Figures The Big and Small of it.

Proportion Guided Notes

Similarity and Indirect Measurement

Similar Polygons & Scale Factor

Presentation transcript:

RATIO AND PROPORTIONS UNIT MULTIPLICATIVE THINKING RATIO BOY! CCSS.6.RP.3: Use ratio (and rate) reasoning to solve real-world and mathematical problems (by reasoning about tables of equivalent ratios). Be ready to learn: on your desk…pencil, Journal, glue… Essential Question: How could you use tables to relate quantities?

RATIO BOY NOTICES THE LENGTH OF HIS SHADOW AT A CERTAIN TIME OF DAY.

FIND RATIO BOY IN THE CLASSROOM. MEASURE HIS HEIGHT AND THE LENGTH OF HIS SHADOW USING STANDARD UNITS OF MEASURE. RECORD THE RESULTS OF YOUR MEASUREMENTS IN YOUR JOURNAL ON THE PROVIDED WORKSHEET.

CHECK THE RESULTS OF YOUR MEASUREMENTS. Ratio Boy is 2 feet tall. Ratio Boy’s shadow is 6 feet long.

DISCUSS WITH YOUR PARTNERS A METHOD OF SOLVING THIS QUESTION. IF A TREE CASTS A SHADOW OF 60 FEET, HOW TALL IS THE TREE IF IT IS THE SAME TIME OF DAY THAT RATIO BOY SEES HIS SHADOW AND THE SHADOWS ARE PROPORTIONAL? What is the height of the tree? “h” The tree’s shadow is 60 feet long.

DISCUSS WITH YOUR PARTNERS A METHOD OF SOLVING THIS QUESTION. IF A TREE CASTS A SHADOW OF 72 FEET, HOW TALL IS THE TREE IF IT IS THE SAME TIME OF DAY THAT RATIO BOY SEES HIS SHADOW AND THE SHADOWS ARE PROPORTIONAL? What is the height of the tree? “h” The tree’s shadow is 72 feet long.

Share out! Discuss how your solved these problems. Could we easily find the height of any tree if we measured the length of the shadow and could measure the height of a shorter tree? Let’s build a ratio table to show how to find the height of a tree. Length of shadows Height of trees206

Check your work. Discuss how your solved these problems. Could we easily find the height of any tree if we measured the length of the shadow and could measure the height of a shorter tree? Let’s build a ratio table to show how to find the height of a tree. Length of shadows Height of trees

Practice Complete the Ratio Boy handout.