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Fractions as Division November 24, 2014 Goal: I will relate fractions as division to fractions of a set! Agenda Application Problem Divide Whole Numbers Fractions as Division Whole Class: Fractions as Division Problem Set Task A star… A wish… Application Problem Olivia is half the age of her brother, Adam. Olivia’s sister, Ava is twice as old as Adam. Adam is 4 years old. How old is each sibling? Use tape diagrams to show your thinking. Divide Whole Numbers 1÷2= 1/2 29÷6= 29/6= 4 5/6 13÷5= 13/5= 2 3/5 5÷4= 5/4= 1 1/4 3÷10= 3/10 Fractions as Division 4÷2= 4/2= 2 6÷4= 6/4= 3/2= 1.5 3÷4= ¾= .75 2÷10= 2/10= .2 6 thirds= 6/3= 2 12 fourths= 12/4= 3 1/3 of 6= • Make an array with 6 counters. • Turn the counters to the red side and split the 6 counters into three equal parts. • What is the division sentence for what you just did? 1/3 of 6= • If I wanted to show 1 third of this set, how many counters should I turn over to yellow? – Turn and talk – This means that 1/3 of 6 is equal to ___2______ What is 2/3 of 6 4 ¼ of 12= 3 Mrs. Smith has 8 apples. She wants to give ¾ of the apples to her students. How many apples will her students get? ¾ x 8/1 8x3= 24 4x1= 4 24/4= 6 6 apples In a class of 24 students, 5/6 are boys. How many boys are in the class? 24/1 x 5/6 24x5= 120 6x1= 6 120/6= 20 boys How many girls? 1/5 x 24 = 4 girls Problem Set • This is an independent assignment. You will have 10 minutes to complete the problem set. • Do your best and turn it in when the timer goes off. New Flooring task • Spokes person • Time keeper • Responsibility • Encourager • Discussion leader A star… A wish Be specific: • Write one thing that you are doing really well with. • Write one thing that you are struggling with.