Ratios and Percent cc.6.rp.1 cc.rp.3a Assignment #6 Essential Question: How do you write ratios and equivalent ratios?

Ratio A 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 3 5:3 5/3

Writing Ratios Use the table to write the following ratios 1 Writing Ratios Use the table to write the following ratios 1. 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 cups 4 cups of pretzels 2 cups of bagel chips 1 cup of cheese crackers 1 cup of peanuts

Equivalent Ratios Ratios that name the same comparison. Find equivalent ratios by multiplying or dividing both terms of a ratio by the same number. Example 2/7 = 4/14 When multiplying the numerator and the denominator by 2 8/24=2/6 When dividing the numerator and the denominator by 4

Find Equivalent Ratios Find the 2 equivalent ratio for each of the following ratios using multiplication and division. 3/12 5/25 8/24 6/9 9/45

Independent Work Complete the equivalent ratio 5/6= ?/24 ¼= 8/? 30/6= ?/3 Find 3 ratios equivalent to the given ratios 6/8 24/18

Ratio Tables, and Graphs day 2 assignment #7 1/15/15 Common Core Class Handout

Lets 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 1/16/15 Day 3 Post TEST

Ratio Tables and Graphs Day 4 Complete Independent Worksheet End of quarter 2 make up work

Make up Day! Retest and Makeup Day 1/17/15

Ratio Tables and Graphs Review 1/20/15 Please place post test on the back desk and begin to work on Independent Work.

Assignment #8 Use 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 Fun 28 Cats 8 Dogs 3 Fish 10 Birds 5 Hamsters 2

Assignment 8 continued Find one equivalent ratio for each ratio given (use your notes to find out how to find equivalent ratios) 5:13 3 to 20 5 t01 6/10 3/35 4/25 200:50 3:15 4/100

Unit Rates 1/22/15 Assignment #9 How can you use unit rates to solve problems and make comparisons?

Comparing Prices Shana 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 Tables Brand A Ounces Price $ 16 3.84 8 1.92 4 2 1 Brand B Ounces Price $ 25 4.50 5 1

Lets 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 this Abby 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?

Vocabulary Rate – 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 Rates To 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 does Michael walk per second?

1/29/30 Assignment #12 Ratio Wrap up Independent work Holt Text Book Rd pg 392-393 Do page 394 #1-24 Extra Credit Spiral Review pg 395 (5 pts test or 2.5 pts quiz)

Fractions and Decimals Assignment #13 Step 1:When turning a fraction to a decimal you divide the numerator by the denominator Step 2: add a decimal and a zero to the dividend and then you add a decimal to the quotient Try these 17/25 14/20 3/8

Percent A percent is a ratio that compares a number to 100. The symbol % is used to show percent. For example 17% is equivalent to 17/100 17:100 17 to 100 62.5% is equivalent to 62.5/100 62.5:100 62.5 to 1oo

Writing a Percent as Fraction Step 1: write the percent as a fraction (hint: the denominator is always 100) 15%= 15/100 Step 2: Simplify the fraction 15/100 Divide the numerator and the denominator by the same number 15÷5 100÷5 Simplified to 3/20

Percent to a Fraction 300% 300% as a fraction 300/100 Divide the numerator ÷100 Divide the denominator ÷1oo The fraction is simplest form 3/1

Percent to Fraction and Fraction to Decimal 10% Step 1 write as a fraction Step 2 simplify fraction Step 3 write as a decimal by dividing the numerator by the denominator

Guided Practice write each percent as a fraction and a decimal 85% 3% 450%

Fractions as Percent Assignment #14 Writing a fraction as a percent when the denominator is a factor of 100. 7 20 = 100 Step 1 Solve by finding the numerator How do we find the numerator? Step2 Use the fraction to find the percent How do we find the percent?

Guided Practice Write each fraction as a percent 3 10 2 25 12 30

Write each fraction as a Decimal and as a percent 27 50 250 100 11 16

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) Step 1 identify the parts Percent = Whole= Part= Step 2 find what is missing What is the problem asking for ? Step 3 Set up the problem 𝑖𝑠 𝑜𝑓 = 𝑝𝑎𝑟𝑡 𝑤ℎ𝑜𝑙𝑒

Guided Practice A lacrosse team played 30 games and won 80% of the games. How many games did the team win? Step 1 Step 2 Step 3

Method 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 parts Step 2: turn the percent into a decimal Step 3: multiply by the whole to find the part

Try these Use method 1( 𝑖𝑠 𝑜𝑓 = 𝑝𝑎𝑟𝑡 𝑤ℎ𝑜𝑙𝑒 ) 20% of 180 80% of 40 Use Method 2 (multiplying percent and whole number) 75% of 480 20% of 45