Objective: Understand what proportions are, setting the up and solving

Slides:



Advertisements
Similar presentations
Proportions  A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal.  3 = 6 is an example of a proportion.
Advertisements

Rational Numbers and Decimals
2.5 Solving Proportions Write and use ratios, rates, and unit rates. Write and solve proportions.
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.
Fractions and Decimals 5.2. Writing a Fraction as a decimal Divide the numerator by the denominator.
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.
7.1 Ratio and Proportion Textbook page 357.
PERCENT PROPORTIONS Using Proportions 4-1. Vocabulary Review Ratio: The comparison of two numbers (written in Algebra as a fraction) Proportion: When.
Fractions, Decimals, and Percents. Percents as Decimals To write a percent as a decimal, divide by 100 and remove the percent symbol. Example 1: 63% 63.
Converting Fractions to Decimals
Chapter 7: Similarity.
Objective Students will solve proportions Chapter 8, lesson 2 (8-2).
Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators.
Organize Binders -Move ch. 3 notes to “old notes” -Move review sheet to “review” -Move Quiz to “quiz” -Throw away old homework.
Ratio, Rate, Proportion, and Percent. Ratio  Comparison of two numbers by division  Can be written three different ways 4 to 9 4 :
2.7 solving proportions Objective: 1. Solve problems using proportions.
Ratios, Proportions. A proportion is an equation that states that two ratios are equal, such as:
Proportional Reasoning Section 2.3. Objectives:  To solve problems using proportional reasoning.  Use more than one method to solve proportional reasoning.
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)
Chapter 9: Lesson 4: Solving Percent Problems with Proportions
Chapter 10: Lesson 4: Solving Percent Problems with Proportions
Section 4-4 p. 170 Goal – to use proportions to solve problems.
Finding a Percent of a Number
Using Equations to Solve Percent Problems
Proportions.
Cross Products and Proportions
Solving equations with fractions and decimals. M + 3⅔ = -4⅝ Solve - 3⅔ M = ³¹/₂₄ M = -8 ⁷/₂₄ ⁷/₂₄.
Ratios, Rates, and Proportions. Ratios Ratios are used to make comparisons. Ratios can be written in three different ways: ◦ Using the word “to” ◦ As.
Proportions How to Write and Solve Them. PROBLEM: I saw at Office Depot that pencils were priced at a dozen for $1.50 How much is it for one pencil? How.
Finding a Percent of a Number
Aim: what you’ll learn Express percents as fractions and vice versa Express percents as decimal and vice versa. Do Now:
Finding Proportions using Cross Multiplication
Ratios and Proportions
Solve Systems of Equations by Elimination
Solving Linear Equations and Inequalities
RATIOS and PROPORTIONS
Finding a Percent of a Number
Using Proportions – Less 6.6
A proportion is an equation that states two ratios are equal
Lesson 85 Warm Up Pg. 441.
Proportions and Percent Equations
2-7 Solving Proportions.
Finding a Percent of a Number
Lesson 5.2 Proportions Students will be able use cross multiply to determine if the two ratios are equivalent.
Section 5.3A Solving Proportions Section 5.3A Solving Proportions
Rates (unit Rate) Ratio Solving
Direct and Inverse variation
Evaluating Expressions
Lesson 7.4e Repeating Decimals
Converting Repeating Decimals to Fractions
Finding a Percent of a Number
Finding a Percent of a Number
Fractions, Decimals & Percentages
Recursive Sequences Objective: Students will be able to identify a recursive sequence and solve problems pertaining to them.
Solving Multiplication Equations
Comparing and Scaling Develop students ability to make intelligent comparisons of quantitative information using ratios, fractions, decimals, rates, unit.
How do I solve a proportion?
Undoing Operations Objective: Students will be able to identify what others have done wrong in a problem and work things backwards.
Exercise Use long division to find the quotient. 180 ÷ 15.
Solving Percent Problems Using Proportions
Learn to solve equations with integers.
PROPORTIONS.
Lesson 6 Ratio’s and Proportions
Finding Proportions using Cross Multiplication
Ratio A ratio is a comparison of two numbers such as a : b. Ratio:
Proportions.
Using Cross Products Chapter 3.
Presentation transcript:

Objective: Understand what proportions are, setting the up and solving

Vocab Ratio Comparison of two numbers, fraction Proportion Equation setting 2 ratios equal to each other Terminating decimal When you divide a ratio and get a decimal that stops Repeating Decimal When you divide a ratio and get a decimal that repeats, 1/3 Variable Letter that stands for a number, can be any letter

Solving A Proportion Main idea Cross Multiply

Examples

Example

Word Problems Read the problem carefully What is given? What do they want you to find?

Example What do you need to find? What is given? Set up the proportion? Each ratio needs to be set up the same Solve and label your answer

Exit Ticket Objective: Understand what proportions are, setting the up and solving On a scale of 1 to 4 do you feel we met our objective? If we didn’t what do we need to improve.

Homework Pg 99 2,3,4,6,8