Presentation is loading. Please wait.

Presentation is loading. Please wait.

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

Published byPeregrine Greer Modified over 9 years ago

Similar presentations

Presentation on theme: "Proportional Reasoning Section 2.3. Objectives:  To solve problems using proportional reasoning.  Use more than one method to solve proportional reasoning."— Presentation transcript:

1 Proportional Reasoning Section 2.3

2 Objectives:  To solve problems using proportional reasoning.  Use more than one method to solve proportional reasoning problems.

3 What Is A Proportion?  Proportions are two ratios set equal to each other  Example:

4 How Do You Know If A Proportion Is True?  The cross-products of the ratios must be equal. Ex. Cross-Product… 4 x 10 = 40 and 5 x 8 = 40 It is a proportion!

5 Proportions & Variables  Proportions may contain a variable.  Example:

6 Solving Proportions That Contain Variables  To solve for the variable you… CROSS MULTIPLY Step 1 Step 2 Step 3 Step 4 Step 5

7 Your Turn… Solve the following proportion:

8 Word Problems Using Proportions There is a ratio of 8 boys to 12 girls in a classroom. How many girls would there be if there were 12 boys in the classroom?

9 Homework 2.3 Proportions Worksheet

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

Similar presentations

2.6 – Ratios & Proportions.

2.6 – Ratios & Proportions.
Proportions, Ratio, Rate and Unit Rate Review

Proportions, Ratio, Rate and Unit Rate Review
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.

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.
+ Cross Multiplication Objective: We will learn to use cross multiplication to solve a proportion. We will use cross multiplication to check whether two.

+ Cross Multiplication Objective: We will learn to use cross multiplication to solve a proportion. We will use cross multiplication to check whether two.
How do I solve a proportion?

How do I solve a proportion?
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.

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.
Chapter 8 Lesson 1 Objective: To write ratios and solve proportions.

Chapter 8 Lesson 1 Objective: To write ratios and solve proportions.
Proportions Section 6.2. A proportion is a statement that two ratios or rates are equal. Solving Proportions If and are two ratios, then If and are two.

Proportions Section 6.2. A proportion is a statement that two ratios or rates are equal. Solving Proportions If and are two ratios, then If and are two.
3.5 – Solving Systems of Equations in Three Variables.

3.5 – Solving Systems of Equations in Three Variables.
Catalyst Thursday, October 6, 2011 Of the 75 teachers at a school, 15 teach mathematics. What percent of the teachers at the school teach mathematics?

Catalyst Thursday, October 6, 2011 Of the 75 teachers at a school, 15 teach mathematics. What percent of the teachers at the school teach mathematics?
PERCENT PROPORTIONS Using Proportions 4-1. Vocabulary Review Ratio: The comparison of two numbers (written in Algebra as a fraction) Proportion: When.

PERCENT PROPORTIONS Using Proportions 4-1. Vocabulary Review Ratio: The comparison of two numbers (written in Algebra as a fraction) Proportion: When.
Warm-up Given these solutions below: write the equation of the polynomial: 1. {-1, 2, ½)

Warm-up Given these solutions below: write the equation of the polynomial: 1. {-1, 2, ½)
Objective Students will solve proportions Chapter 8, lesson 2 (8-2).

Objective Students will solve proportions Chapter 8, lesson 2 (8-2).
Warm up Lesson 3.1 Solve the following equations: 1. -5(3z + 7) = -8z 2. 3y + 12 = -(6 – 2y) 3. 8a = -4(5a + 7) 4. 10(3b – 1) = -2(b - 3) 1. -5 = z 2.

Warm up Lesson 3.1 Solve the following equations: 1. -5(3z + 7) = -8z 2. 3y + 12 = -(6 – 2y) 3. 8a = -4(5a + 7) 4. 10(3b – 1) = -2(b - 3) = z 2.
Proportions. Proportion – two equal ratios 1 = 4 3 = 15 2 8 5 25 7 = 21 a = c 8 24 b d.

Proportions. Proportion – two equal ratios 1 = 4 3 = = 21 a = c 8 24 b d.
Ratio, Rate, Proportion, and Percent. Ratio  Comparison of two numbers by division  Can be written three different ways 4 to 9 4 : 9 4 9.

Ratio, Rate, Proportion, and Percent. Ratio  Comparison of two numbers by division  Can be written three different ways 4 to 9 4 :
When two pairs of numbers such as (3, 2 and 6, 4) have the same ratio, we say that they are proportional. The equation states that the pairs 3, 2 and 6,

When two pairs of numbers such as (3, 2 and 6, 4) have the same ratio, we say that they are proportional. The equation states that the pairs 3, 2 and 6,
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.

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.
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.

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.

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

Similar presentations

Ads by Google