Ratios

Ratios and Percentcc.6.rp.1cc.rp.3aAssignment #6

Essential Question: How do you write ratios and equivalent ratios?RatioA ratio is a comparison of two numbers by division. The two numbers in a ratio are called terms. A ratio can be written in several different ways

Examples 5 dogs to 3 cats 5 to 35:35/3Writing Ratios

Use the table to write the following ratios1. pretzels to bagels chips 3 different ways

2. pretzels to the total party mix 3 different ways

3.bagel chips to peanuts 3 different ways

Party Mix Make 8 cups4 cups of pretzels2 cups of bagel chips1 cup of cheese crackers1 cup of peanutsEquivalent RatiosRatios that name the same comparison. Find equivalent ratios by multiplying or dividing both terms of a ratio by the same number.

Example2/7 = 4/14When multiplying the numerator and the denominator by 28/24=2/6When dividing the numerator and the denominator by 4Find Equivalent RatiosFind the 2 equivalent ratio for each of the following ratios using multiplication and division.

3/125/258/246/99/45Independent WorkComplete the equivalent ratio5/6= ?/24= 8/?30/6= ?/3

Find 3 ratios equivalent to the given ratios6/824/18Ratio Tables, and Graphsday 2assignment #7 1/15/15Common Core Class HandoutLets Reflect!How much does Brand A cost per ounce?

How much does Brand B cost per ounce?

Which is a better buy? Why?

Describe another method to compare costs.TESTING 1/16/15Day 3 Post TESTRatio Tables and GraphsDay 4 Complete Independent WorksheetEnd of quarter 2 make up workMake up Day!Retest and Makeup Day 1/17/15Ratio Tables and Graphs Review1/20/15Please place post test on the back desk and begin to work on Independent Work.

Assignment #8Use the chart to answer the following Questions

What is the ratio of cats to dogs?What is the ratio of the total amount of animals compared to the amount of birds?What is the ratio of the number of fish to the number of cats?Animal Fun28Cats8Dogs3Fish10Birds5Hamsters2Assignment 8 continuedFind one equivalent ratio for each ratio given(use your notes to find out how to find equivalent ratios)5:133 to 205 t016/103/354/25200:503:154/100Unit Rates1/22/15 Assignment #9How can you use unit rates to solve problems and make comparisons?

Comparing PricesShana is at the grocery store comparing two brands of juice . Brand A costs $3.84 for a 16 ounce bottle Brand B costs $4.50 for a 25 ounce bottle.

To compare the costs, Shana must compare prices for equal amounts of juice. How can she do this?Complete the TablesBrand AOuncesPrice $163.8481.92421Brand BOuncesPrice $254.5051Lets Reflect!How much does Brand A cost per ounce?

How much does Brand B cost per ounce?

Which is a better buy? Why?

Describe another method to compare costs.Try thisAbby can buy an 8pound bag of dog food for $7.40 or a 4 pound bag of the same dog food for $5.38. which is a better buy?VocabularyRate a ratio of two quantities that have different units

Unit Rate- a rate in which the second quantity is one unit. When the first quantity in a unit rate is sometimes called a unit price or unit cost.

Calculating Unit RatesTo find the unit rate, divide both quantities in rate by the same number so that the second quantity is 1

1. Maria pays $60 for 5 music lessons. What is the cost per lesson?$60/5 lessons

2. The cost of 3 candles is $19.50. What is the unit price?$19.50/3 candles

3. Michael walks 30 meter s in 20 seconds. How many meters doesMichael walk per second?

1/29/30Assignment #12Ratio Wrap upIndependent work Holt Text BookRd pg 392-393Do page 394 #1-24

Extra Credit Spiral Review pg 395 (5 pts test or 2.5 pts quiz)Fractions and DecimalsAssignment #13Step 1:When turning a fraction to a decimal you divide the numerator by the denominatorStep 2: add a decimal and a zero to the dividend and then you add a decimal to the quotient

Try these17/25 14/20 3/8

PercentA percent is a ratio that compares a number to 100. The symbol % is used to show percent.

For example17% is equivalent to17/10017:10017 to 100

62.5% is equivalent to62.5/10062.5:10062.5 to 1ooWriting a Percent as FractionStep 1: write the percent as a fraction (hint: the denominator is always 100)15%= 15/100

Step 2: Simplify the fraction15/100Divide the numerator and the denominator by the same number1551005Simplified to 3/20

Percent to a Fraction300%300% as a fraction300/100Divide the numerator 100Divide the denominator 1ooThe fraction is simplest form 3/1

Percent to Fraction and Fraction to Decimal10%Step 1 write as a fractionStep 2 simplify fractionStep 3 write as a decimal by dividing the numerator by the denominator

Guided Practicewrite each percent as a fraction and a decimal85%

3%

450%Fractions as PercentAssignment #14Guided PracticeWrite each fraction as a Decimal and as a percent

P

Percent Problems Finding the percent of a number(2/4/15 assignment #14)

A sporting goods store received a shipment of 400 baseball gloves and 30% were left handed. How many left handed gloves were in the shipment?

Method 1 (finding the percent of a number)Guided PracticeA lacrosse team played 30 games and won 80% of the games. How many games did the team win?

Step 1

Step 2

Step 3Method 2 (finding a percent of a number)A girls softball team has 3 pitchers. The pitchers make up 20% of the team. How many total players are on the softball team? Step 1: identify the partsStep 2: turn the percent into a decimalStep 3: multiply by the whole to find the partTry these