Name: 6th Grade Math Date: Cohort: Objective: SWBAT compare two related quantities and represent the ratios in a variety of formats. Do Now what is a ratio? _____________________________________________________________________________ Why do we use ratios? ______________________________________________________________________________ ______________________________________________________________________________ What are some examples of real-world ratios? ______________________________________________________________________________ ______________________________________________________________________________ Vocabulary Ratio: ___________________________________________________________________________________ ___________________________________________________________________________________ Part to Part: ___________________________________________________________________________________ ___________________________________________________________________________________ Part to Whole: ___________________________________________________________________________________ ___________________________________________________________________________________ Whole to Part: ___________________________________________________________________________________ ___________________________________________________________________________________ ___________________________________________________________________________________ Example There are 5 pups, 2 are boys, and 3 are girls Part-to-Part: 2 The ratio of boys to girls is 2:3 or / 3 3 The ratio of girls to boys is 3:2 or / 2 Part-to-Whole: 2 The ratio of boys to all pups is 2:5 or / 5 3 The ratio of girls to all pups is 3:5 or / 5 Guided Practice What is the ratio of oranges to strawberries? What is the ratio of strawberries to oranges? What is the ratio of oranges to total fruit? ______:_______ ______:_______ ______:_______ What is the ratio of strawberries to total fruit? ______:_______ Example: Ratio Relationships Part to Part: student to student Part to Whole: student to class Whole to part: class to student A basket of fruit contains 6 apples, 4 bananas, and 3 oranges. What is their relationship 1) Bananas to Apples _________ to _____________ 2) Bananas and Apples to Oranges _________ to _____________ 3) Oranges to Total Pieces of Fruit _________ to _____________ Independent Practice Ratio Relationships A basket of fruit contains 6 apples, 4 bananas, and 3 oranges. What is their relationship? Bananas to Apples: _______________________________ How do you know? _______________________________________________________________________________ _______________________________________________________________________________________________ Bananas and Apples to Oranges: ______________________ How do you know? _______________________________________________________________________________ _______________________________________________________________________________________________ Oranges to Total Pieces of Fruit: ______________________ How do you know? _______________________________________________________________________________ _______________________________________________________________________________________________ Question Write the ratio What is the relationship of the ratio you wrote? Explain your answer (hint: refer back to your vocabulary) 3 drums for 18 people 4 blue eyed people to 6 brown eyed people 5 boys out of 10 girls For every 6 guppies in the tank there are 3 that are orange Research shows that 1 out of 10 people are left-handed. Explain in words what this means and what does this tell us about the people who are right-handed. Answer using ratio relationships and/or ratios.
