WORKING WITH FRACTIONS AND WHOLE NUMBERS February 11, 2015

ACT 1: ACT 2: ACT 3:ACT 3: Why FRACTIONS?????????????

Today’s Dilemma… Carolina is making her special banana pudding recipe. She is looking for her cup measure, but can only find her quarter cup measure.

What all does our dilemma involve, so far? Recipe Cup measure Quarter cup measure

Today’s Dilemma… Carolina is making her special banana pudding recipe. She is looking for her cup measure, but can only find her quarter cup measure. Here is what Carolina needs:

Today’s Dilemma… We only have a quarter cup measure  How many quarter cups does she need for the sour cream?

What MATH does our dilemma involve? Whole numbers Unit Fractions Finding how many groups within the whole

What is a UNIT FRACTION? EXAMPLE: ¼ NON-EXAMPLE: ¾ Unit Fraction: fraction with a NUMERATOR of ONE and a whole number denominator.

What operation will we use? EXAMPLE: How many groups of ___ within ___? NON-EXAMPLE: 3 groups of 4 3 __ 4 = 12 6 groups of ½ 6 __ ½ = 3 Groups Within: DIVISION

Today’s Dilemma…  How many quarter cups does she need for the sour cream? Draw a picture to illustrate your solution, and write an equation that represents the situation.

Today’s Dilemma…  How many quarter cups does she need for the milk? Draw a picture to illustrate your solution, and write an equation that represents the situation.

Today’s Dilemma…  Carolina does not remember in what order she added the ingredients but the last ingredient added required 12 quarter cups. What was the last ingredient Carolina added to the pudding? Draw a picture to illustrate your solution, and write an equation that represents the situation.

So…If we want to find out how many groups WITHIN, we ________! How many groups of ½ are within 7? How many groups of ¼ are within 4? How many 1/3 cups are in 8 cups? How many 1/5 cups are in 5 cups? YOU try! How many groups of 1/3 are within 9? How many 1/8 cups are in 3? DIVIDE

Draw models to find the quotient for each question.

5) A cookie recipe uses ¼ cup of butter for each batch. How many batches of cookies can you make with 2 cups of butter? Draw models to solve and then explain, in words, how you got your final answer.

6) A beekeeper sells honey in 6-ounce jars. One serving of honey is ½ ounce. How many servings of honey is in each jar? Draw models to solve and then explain, in words, how you got your final answer.

Next’s Dilemma… After a class potluck, Emily has three equally sized apple pies left and she wants to divide them into eight equal portions to give to eight students who want to take some pie home.

Draw a picture showing how Emily might divide the pies into eight equal portions. Explain how your picture shows eight equal portions. What fraction of a pie will each of the eight students get? Explain how the answer to (b) is related the division problem 3÷8.