Ratios & Rates of Change Chapter 11, Section 2, 3, 4.

Slides:

Advertisements

Similar presentations

Ratios and Unit Rates.

Advertisements

Ratios and Rates. ratio – is a comparison of two numbers or more values. Example: 1:3.

Ratios and Rates. ratio – a comparison of two numbers by division written in several different forms.

Solving Problems Involving Equivalent Ratios

Ratios Rates and Unit Rate

Proportions, Ratio, Rate and Unit Rate Review

Examples: 12 out of 20, 12 boys and 8 girls

Understanding Proportion. Ratio A ratio is the comparison of two numbers by division. A classroom has 16 boys and 12 girls. Also written as16 boys, 16:12.

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.

Ratios and Proportions

Section 4-1 p. 156 Goal – to express ratios as fractions - to determine unit rates.

Cheaper ways to shop From now on shop cheaper!! Cheaper shopping saves your money!! This PowerPoint will give you advice on how to shop cheaper.

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.

Representing Ratios as Concrete Models & Fractions Lesson 2 3 rd 6 Weeks TEKS 6.3B.

Warm-up Use the distributive property & simplify 1) 2(2x – 3) + 2x =

Students and Teachers will be able to  Understand What is Ratio, Rate & Proportion ?  Make the difference between Ratio, Rate and Proportion  Solve.

Ratios Using Data. Ratio is a comparison of two numbers, Usually written as a fraction a/b, where a and b are the numbers First number in the numerator.

Ratios and Rates. ratio – a comparison of two numbers by division written in several different forms.

 A ratio is the comparison of two numbers by division.  A classroom has 16 boys and 12 girls.  Also written as16 boys, 16:12 or 16 to girls 

Ratio, Rate, Proportion, and Percent. Ratio  Comparison of two numbers by division  Can be written three different ways 4 to 9 4 :

Ratios, Rates, Distance and Proportions TSW write and simplify ratios. TSW determine unit rate. TSW calculate rates involving cost per unit to determine.

Using Multiplication & Division to Solve Problems Involving Rates TEKS 6.2C Lesson 7 (2 nd 6 Weeks)

Ratio A ratio is a _________of ____ separate but related quantities.

5-1 Objective: Solving proportions. A ratio is the comparison of two numbers written as a fraction. An equation in which two ratios are equal is called.

Ratios Lesson 7 – 1. Vocabulary Ratio: a comparison of two numbers (quantities) by division Equivalent Ratios: ratios showing the same relationship between.

What is a ratio, rate, and unit rate?

Lesson Topic: From Ratios to Rates & From Rates to Ratios Lesson Objective: I can… Recognize that they can associate a ratio of two quantities. Identify.

Unit 1 Ratios and Unit Rates Unit 1 Ratios and Unit Rates.

A comparison of two quantities by division. You can write a ratio three different ways.

RP Unit 1a: Ratios & Proportional Reasoning. Greatest Common Factor A factor is a number that you multiply by another number to get a product. Example:

NS 1.3. CST problems remember Ratios A ratio is a comparison of two things…. - boys to girls - cats to dogs - ears to robots and can be written as a.

When comparing two objects of the same proportion... Proportional Relationships Proportion: a statement that two ratios are equal.

Students will be able to : Identify the similarities and differences between rates and ratios Make links between rates and ratios, and direct proportion.

Part 1: Concrete Models Tape Diagrams

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.

December 19, 2012 Please get out a pencil and your notes journal, and clear your desk. Please be ready as soon as the bell rings!!!!

A ratio is a comparison of two or more quantities in the same category. Example: A ratio of boys to girls or A ratio of apples to oranges A ratio of cars.

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.

Ratios & Proportions Unit 1. Learning Target: I can recognize and represent proportional relationships between quantities. Essential Question: How can.

Vocabulary ratio: a comparison of two numbers through division often expressed as a fraction. Proportion: An equation that states that two ratios are equal.

Ratios and Rates. ratio – A ratio is a comparison of two or more quantities. Ratios may be written in colon form ( 1:2 ) or in fraction form ( 1/2 ).

An in Depth Look at Ratios and Proportions and Their Applications.

Bits & Pieces I, II, III. Benchmarks An easy number to work with that can be used to estimate the size of other numbers. easy reference points X 0, ½,

Understanding Ratios Proportions We will solve problems using ratios and proportions.

Ratio A ratio is the comparison of two numbers by division.

Equivalent Ratios By, Mrs. Muller.

DO NOW (not later): Compare the number of boys to girls in the class.

POD Find your pulse. We are going to count how many beats your heart makes in 2 minutes. Teacher will keep the time. You keep count. Write your results.

Ratios, Rates, & Unit Rates

Ratios and Rates.

Ratio & Unit Rate.

A way to compare 2 qualities Usually written as fractions

Ratios and Rates.

Ratios and Rates.

Understanding Proportion

Chapter 7-4 Using Percent Proportions

Understanding Proportion

Understanding Proportion

Section 3.1 Ratios and Rates

Understanding Proportion

Understanding Proportion

6-1: Ratios and Rates.

Chapter 3: Solving Equations

A comparison of one quantity to another quantity

Chapter 7-1 Ratios and Rates

Understanding Proportion

To Start: 10 Points Find the unit price of 40 gallons of gas for $132 $3.30 per gallon There are 64 boys and 72 girls in the 7th grade. Find the ratio.

Presentation transcript:

Ratios & Rates of Change Chapter 11, Section 2, 3, 4

Ratio A ratio is a comparison of like or unlike quantities. It can compare a part to a part, a part to a whole, or the whole to a part. Does this sound like something else we have studied about? A FRACTION This can be written as a fraction (3/9) or 3 to 9 or 3:9.

Practice Let’s write a ratio of the number of people with blond hair to the number of people with black hair. Boys to girls Basketball players to non basketball players

Equal Ratios We can find equal ratios that show the same comparison. For the ratio 18:

Rates A rate is a ratio that compares unlike units. A common rate is miles per hour. If the comparison is to one unit, it is called a unit rate. Example: Give the unit rate for 22 laps in 5 minutes. 22 laps = laps 5 minutes 1 minute

Practice Write each rate as a unit rate. 15 books in 3 weeks 8 visits in 5 days

Constant or Vary What does constant mean? What does vary mean? Constant-to stay the same Vary-to change