Understanding Proportions

Slides:



Advertisements
Similar presentations
Lesson 2-5 Example Use a factor tree to write the numerator as a product of prime numbers. Example = 2 ● 2 ● 2 ● 3.
Advertisements

3-6 Solve Proportions Using Cross Products
4-1 Ratios & Proportions.
Equivalent Ratios and Rates
8-2 6th grade math Proportions.
Introduction to Proportions & Using Cross Products Lesson 6-3 & 6-4.
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.
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.
Unit Three Ratios and Proportional Relationships Why do we learn vocabulary in math??
1 Math Solving Proportions. 2 Vocabulary ► Proportion—an equation that shows that two ratios are equivalent. ► Cross Product—the product of the numerator.
Proportional Reasoning Today you will learn to: test if ratios can form a proportion. use cross products. M7.A.2.2.3: Use proportions to determine if two.
Percents and Fractions. Vocabulary A percent is a ratio that compares a number to 100. It means “per 100.” 49 out of 100 is 49%.
Warm up:Write each fraction in simplest form.
Welcome to this IRSC Adult Education Live Virtual Lesson Diana Lenartiene, Ed. S. moderator/instructor.
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,
Using Proportions Lesson 4-1. Ratio: The comparison of two numbers (written in Algebra as a fraction) Proportion: When two ratios are equal to each other.
Solving Proportions. 2 ways to solve proportions 1. Equivalent fractions (Old) Cross Products (New)
1. What Are You Learning? I CAN solve proportions. 2.
1. 2. Check Homework Homework: Book: pg. 36; 7-8.
Mixed Numbers and Improper Fractions Lesson 3-5. Vocabulary A proper fraction has a numerator that is less than its denominator. An improper fraction.
Monday October 18,2010 Review for Benchmark Assessment on Rates, Ratios and Proportions.
Cross Products and Proportions
  A ratio is a way to compare two quantities that are measured in the same units by using division  45 : 100 Ratio.
Part of a set or part of a whole. 3 4 =Numerator the number of parts = Denominator the number that equals the whole.
Solving a Proportion by “Cross” Multiplying
Finding a Percent of a Number
Finding Proportions using Cross Multiplication
Students will be able to simplify fractions and ratios (5-4).
A proportion is an equation that states two ratios are equal
6.3 Solving Proportions Using Cross Products
Equivalent Ratios.
Geometry Chapter 7 section 1.
Proportions.
Lesson 5.2 Proportions Students will be able use cross multiply to determine if the two ratios are equivalent.
Fractions IV Equivalent Fractions
Equivalent ratios.
Proportions TeacherTwins©2014.
Solving Proportions.
Warm-up October 26, 2017 Factor: 66B + 12A – 14
Fractions IV Equivalent Fractions
Fractions IV Equivalent Fractions
Proportions Determine if the ratios can form a proportion. , b. a.
Equivalent Fractions Lesson 3-4.
Finding a Percent of a Number
Equivalent Fractions.
Fractions IV Equivalent Fractions
By, Mrs. Muller Proportions.
Chapter 5: Graphs & Functions
Making Equivalent Fractions.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Proportions Chapter 5 Section 5.3.
Fractions IV Equivalent Fractions
How do I solve a proportion?
7.RP.2 Recognize and represent proportional relationships between quantities. 7.RP.2a Decide whether two quantities are in a proportional relationship.
Fractions IV Equivalent Fractions
Fractions IV Equivalent Fractions
Bell Work: Compare each fraction using <, =, or >
I CAN write equivalent fractions
Problem of the Day The last time you bought pizza, 3 pizzas were enough to feed 7 people. At that rate, how many pizzas should you buy for a party for.
Fractions IV Equivalent Fractions
Lesson 6 Ratio’s and Proportions
Fractions IV Equivalent Fractions
Finding Proportions using Cross Multiplication
Objective: Learn to use a table to find equivalent ratios and rates.
Fractions IV Equivalent Fractions
Fractions IV Equivalent Fractions
Using Cross Products Chapter 3.
Equivalent Fractions.
Presentation transcript:

Understanding Proportions Lesson 6-3

Vocabulary A proportion is an equation stating that two ratios are equal. To prove that two ratios form a proportion, you must prove that they are equivalent. To do this, you must demonstrate that the relationship between numerators is the same as the relationship between denominators.

Examples: Do the ratios form a proportion? Yes, these two ratios DO form a proportion, because the same relationship exists in both the numerators and denominators. 7 21 , 10 30 x 3 ÷ 4 8 2 No, these ratios do NOT form a proportion, because the ratios are not equal. , 9 3 ÷ 3

Completing a Proportion Determine the relationship between two numerators or two denominators (depending on what you have). Execute that same operation to find the part you are missing.

Example ÷ 5 35 7 = 40 8 ÷ 5

Homework Time