Unit 6: Ratios and Unit 6: Ratios and PercentPercent

Review from your time with Review from your time with crazy Mr. Steadcrazy Mr. Stead

• Which of the following images are… - Percentages? - Decimals? - Fractions? - Ratios?

Write 0.50 as…Write 0.50 as…• A percent• A fraction• A ratio

Review on FractionsReview on Fractions• How many different ways do you

know how to write them?• What are equivalent fractions? - 2/4 = 1/2• Do you know how to write mixed

numbers?

What is A Ratio?What is A Ratio?• Comparison of any two quantities - ex: 4 apples and 2 bananas - How would we write this as a ratio?

• Create this ratio using snakes and ladders: - 2:5 - 3:7 - 4:2

Two TermsTwo Terms• Ratio – Comparison of two quantities

(amounts) measures in the same units - 4:3

• Term - The two numbers in a ratio. - Neither number can be zero - ex: The 4 and 3 above

Answer This QuestionAnswer This Question• The Easter Bunny left 6 Hershey

Kisses and some Jujubes. The ratio of kisses to jujubes was 3:2. Altogether, how many Hershey Kisses and Jujubes did the Easter Bunny leave?

Another QuestionAnother Question• The ratio of men to women in a

family is 2:3.• The ratio of men to the entire family

is 2:5• How many women are in the family?

(Exclude all pets :P)

Appropriate Ratio LanguageAppropriate Ratio Language• 3:2 - 3 to 2 - 3 for every two

• Why might you have this ratio as 4:1, or as 1:4? - BBBBG B= boy G=girl

• What are equivalent ratios for the following numbers?

6:4• 8:16• 9:20

Make a Doodle By Row!Make a Doodle By Row!• Make a sketch showing: - Row 1:The Ratio of boys to girls in the class - Row 2: Desks to students - Row 3: Pencils in class to paper in an exercise

book - Row 4: Teachers in school to students in class

Look at the Following Look at the Following Nutrition LabelsNutrition Labels

• What are the ratios for: - Calories to Calories - Fat to Fat - Carbohydrates to Carbohydrates

When Do We Use Ratios in When Do We Use Ratios in Real-Life Situations?Real-Life Situations?

• Maps - Ratios shows distance on a map - ex: 1:1000 – 1cm = 1000km

• Mixing gas and oil inchainsaws

- 50:1 - For every 50L of gas, 1Lof oil is needed

Part/Part and Part/Whole Part/Part and Part/Whole RatiosRatios

• For example… - There are 5 boys and 13 girls (oh,

boy…) in our class - The whole, or total number of students

is 18 - One part of the whole is the 5 boys - The other part is the 13 girls 13+5 = 18!!!

Part/PartPart/Part• What is the ratio of boys to girls? - 5:13

• What is the ratio of girls to boys? - 13:5

Part/WholePart/Whole• What is the ratio of boys to the

entire class? - 5:18

• What is the ratio of girls to the entire class?

- 13:18

QuestionQuestion• Write out your full name• Add up the total number of letters• Add up the total number of vowels• Add up the total number of consonants

• What is the ratio of vowels to consonants? Is this part/part or part/whole?

• What is the ratio of vowels to your total number of letters? Is this part/part or part/whole?

• What is the ratio of consonants to the total number of letters?

More on Equivalent RatiosMore on Equivalent Ratios• In this diagram: - X000 - X000 - X000 - Write equivalent ratios to this diagram. Explain

your thinking.• For the following ratios, find an equivalent ratio

that has one of the terms as 20 - 4:6 - 10:30 - 3:5 - 4:5

QuestionsQuestions• Page 179: 1• Page 180: 3,7• Page 181: 10,11,13,15