Using Tape Diagrams to model Ratios YOU Friend. QUESTION # 1 (White Boards) : Jeffrey answered 4 out of every 5 questions correctly on a quiz last week.

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Presentation transcript:

Using Tape Diagrams to model Ratios YOU Friend

QUESTION # 1 (White Boards) : Jeffrey answered 4 out of every 5 questions correctly on a quiz last week. How can this be modeled with a tape diagram? What two quantities are being compared here? ______________________ and ________________________ Correct Answers Incorrect Answers How many boxes above should be labeled with a C ? _____ How many with an I ? _____ USE A VARIABLE TO REPRESENT EACH QUANTITY ________________________ and _________________________ C for Correct Answers I for Incorrect Answers 4 1 Label them above in your tape diagram. C C C C I We have determined that we have a ratio between the number of correct answers to the number of incorrect answers. Write the ratio in three different ways. 4:1 4 to 1 4/1

QUESTION # 2 (White Boards) : Felipe answered 2 out of every 9 questions incorrectly on a quiz last week. How can this be modeled with a tape diagram? What two quantities are being compared here? ________________________ and ______________________ Incorrect Answers Correct Answers How many boxes above should be labeled with a I? _____ How many with an C ? _____ USE A VARIABLE TO REPRESENT EACH QUANTITY ________________________ and _________________________ I for Incorrect Answers C for Correct Answers 2 7 Label them above in your tape diagram. I I C C C C C C C We have determined that we have a ratio between the number of incorrect answers to the number of correct answers. Write the ratio in three different ways. 2:7 2 to 7 2/7

QUESTION # 3 (White Boards) : What to quantities are being compared here? _______________ and _____________________ Recommend Don’t Recommend How many boxes above should be labeled with a R ? _____ How many with an D ? _____ USE A VARIABLE TO REPRESENT EACH QUANTITY ____________________ and ___________________________ 4 1 Label them above in your tape diagram. R R R R D How can this survey be modeled in a tape diagram? R for Recommend D for Don’t Recommend If there are 20 dentists in total who were surveyed, use the tape diagram to model an equivalent ratio to the 4:1 ratio shown above. 4/1 = / R R R R R R R R R R R R R R R R D D D D Dentists who recommend Dentists who don’t recommend Dentists who recommend Dentists who don’t recommend 16 4