Solving Problems Involving Equivalent Ratios

Slides:



Advertisements
Similar presentations
Chapter 6 Review A ratio compares 2 quantities.
Advertisements

Ratio, Proportion, and Percent
Eighth Grade Math Ratio and Proportion.
Rates, Ratios, and Proportions
Ratio and Proportions. Ratio of a to b The quotient a/b if a and b are 2 quantities that are measured in the same units can also be written as a:b. *
Ratios, Proportions and Unit Rate Objective is to: write ratios and find equivalent ratios use rates and unit rates to compare quantities.
Proportions, Ratio, Rate and Unit Rate Review
Ratio Notes A ratio is a comparison of two numbers by division. Each number in a ratio is called a term. Ratios can be written three ways and SHOULD ALWAYS.
Solve for the variable:
Bell Work: Simplify (-12) – (-3)
Writing and Solving Proportions. Proportions Proportion is an equation stating that two ratios are equivalent. Proportional are two quantities that form.
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.
estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement.
Ratios and Proportions
Using Ratios (Proportions) to Make Predictions
November 17, 2011 You will need: – Whiteboard/eraser/marker – Math book – Notebook – Calculator Bell Ringer: A number cube is rolled once. Find each probability.
7 th Grade Pre-algebra Chapter 6 Notes. 6.1 Ratios and Rates Vocabulary Ratio: a comparison of two numbers by division. Rate: a ratio of two measurements.
Proportions Using Equivalent Ratios. What is a proportion?  A proportion is an equation with a ratio on each side. It is a statement that two ratios.
Ratios can be written three different ways. Example: Sarah was practicing free throws and made 3 shots out of 10. 3:10 3 to 10 three to ten ratio: a comparison.
An in Depth Look at Ratios and Proportions and Their Applications.
Proportions in Word Problems. Proportion Word Problems If you can buy one can of pineapple chunks for $2 then how many can you buy with $10? – First set.
Representing Ratios as Concrete Models & Fractions Lesson 2 3 rd 6 Weeks TEKS 6.3B.
Solving Proportions by Creating Equivalent Ratios Wednesday, October 07, 2015 We are learning to…use proportional reasoning to solve problem situations.
Ratios, Rates, and Unit Rates Ratios Number of Boys Number of Girls Ratio of Boys to Girls Class 1 Class 2 Are these ratios in the table equivalent?
Write and Solve Proportions Lesson Ten boys and 15 girls ran a mile under seven minutes in P.E. a)Write the ratio of boys to girls who ran a mile.
Solving Proportions. EXAMPLE 1 Solve the proportion x =. Solving Proportions METHOD - Use equivalent ratios x = X 5 = 60,
Rename the fraction in lowest terms. Exercise = =
3.5 – Solving Systems of Equations in Three Variables.
Ratios and rates Warm Up
Chapter 7 Proportional Reasoning Section 7.1 The Concept of Ratio.
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.
Converting Measures Lesson 5 (4 th 6 Weeks) TEKS 6.4A & 6.8D.
Percents. Warm-Up Today, we will begin class with Activity 1. I need for you to: Pick up Hoop Shoot Activity from the front of the room. Crumple up two.
Proportional Reasoning Section 2.3. Objectives:  To solve problems using proportional reasoning.  Use more than one method to solve proportional reasoning.
Ratio A ratio is a _________of ____ separate but related quantities.
Solving Proportions. 2 ways to solve proportions 1. Equivalent fractions (Old) Cross Products (New)
Chapter 10 L10-1 Notes: Ratios. Vocabulary A ratio is a comparison of two numbers by division.
Chapter 9: Lesson 4: Solving Percent Problems with Proportions
Chapter 10: Lesson 4: Solving Percent Problems with Proportions
Percent of change. Find the percent of change from a 28 to a 21 Step 1: Subtract = 7 Step 2: Make a fraction Difference Original amount 7 28 Step.
Ratios Lesson 7 – 1. Vocabulary Ratio: a comparison of two numbers (quantities) by division Equivalent Ratios: ratios showing the same relationship between.
 In a bag of 8 apples, 2 of the apples are green. In a bag of 4 apples, 1 is green. Is this a proportional relationship?
LESSON How can you use tables, graphs, and equations to represent proportional situations? Representing Proportional Relationships.
Proportions Lesson 6-3. A proportion is an equation stating that two ratios are equivalent. Determine if the quantities in each pair of rates are proportional.
Proportional and Non-proportional Relationships. An equation stating that two ratios are equivalent is called a proportional. 200 Miles 4 Hours 50 Miles.
MTH 231 Section 7.3 Proportional Reasoning. Overview In grades K – 4, a main focus is the development of the additive principles of arithmetic. In the.
Ratios, Rates & Proportions Warm Up Complete the handout.
Ratios and Unit Rates. Today’s Objective Use ratios and unit rates to model, describe and extend problems in context.
Vocabulary ratio: a comparison of two numbers through division often expressed as a fraction. Proportion: An equation that states that two ratios are equal.
Lesson 53: Ratio Word Problems Students will use ratio boxes to organize the data in ratio word problems Use proportions to solve ratio problems.
Holt Algebra Rates, Ratios, and Proportions Warm Up Solve each equation. Check your answer. 1. 6x = m = y =18.4 Multiply. 6.7.
Ratios and Proportions Ratio: A comparison of two quantities. Example: the ratio of a to b is, where b =0 Proportion: A proportion is formed when you.
Ratios, Proportions and Similar Figures Ratios, proportions and scale drawings.
An in Depth Look at Ratios and Proportions and Their Applications.
October 1, 2012 Ratios and Proportions
2.2 Solving Systems of Equations in 3 Variables
Simplifying Fractions
DO NOW (not later): Compare the number of boys to girls in the class.
Proportions and Percent Equations
Lesson 5.2 Proportions Students will be able use cross multiply to determine if the two ratios are equivalent.
Using Proportions to solve Problems
Lesson 7.1 How do you write ratios and find unit rates?
Ratios, Rates and Unit Rate Chapter 4 Review and Practice
Warm-up October 26, 2017 Factor: 66B + 12A – 14
Warm Up Imagine a family has three children. 1) What is the probability the family has: 3 girls and 0 boys 2 girls and 1 boy 1 girl and 2 boys 0 girls.
Ratio, Proportion, and Percent
Write a function for this table.
Proportion Guided Notes
Lesson 6 Ratio’s and Proportions
Chapter Five: Ratios and Proportions
Presentation transcript:

Solving Problems Involving Equivalent Ratios Lesson 3 (3rd 6 Weeks) TEKS 6.2C

Ratio Comparison of two quantities 7 to 10 = 7:10 = 7/10 = 0.7

Proportion Two equivalent ratios or rates 2 6 = 5 15 These ratios are equivalent. (proportional)

Use this method to solve problems involving ratios and rates EX: The volley ball team has a 3:2 ratio of girls to boys. If there are 12 boys on the team, how many girls are on the team? 1.Write the original ratio as a fraction in a ratio table. 3 2

EX: The volley ball team has a 3:2 ratio of girls to boys EX: The volley ball team has a 3:2 ratio of girls to boys. If there are 12 boys on the team, how many girls are on the team? 2. Label the terms. 3. Write an equivalent ratio with 12 boys and unknown number of girls. Use a variable for the unknown number of girls. 4. Solve for the variable. x 6 girls 3 g 18 boys 2 12 x 6

Example 2: Sue made 7 out of every 10 free throws during the last 6 games of the basketball season. If she made 21 free throws, how many did she attempt? x 3 made 7 21 attempted 10 a 30 x 3