Add progression of fractions.

Fractions Interpret ¾ in as many ways as possible. What activities would be helpful for students when trying to understand multiple ways of looking at ¾?

Rational Number Interpretations of 3/4 Part-Whole Comparisons with Unitizing “3 parts out of 4 equal parts” Measure “3 (1/4 units)” Operator “3/4 of something” Quotient “3 divided by 4” Ratio “3 to 4”

Create Pattern Block Relationships For example: 1 red = 3 green 1 red = 1 green + 1 blue 4 blue = 2 red + 2 green

Pattern Blocks If what is , 1 + ? + = http://math.rice.edu/~lanius/Patterns/

Pattern Blocks If what is , 1 + ? + = http://math.rice.edu/~lanius/Patterns/

Pattern Blocks If what is , 1 + ? = http://math.rice.edu/~lanius/Patterns/

Fractions Here is ¾ of a shape: Show how the whole shape might look: Bridges to Classroom Mathematics

Fractions Here is 3/2 of a shape: How might ½ the shape look? How might the whole shape look? Bridges to Classroom Mathematics

Fractions with Pattern Blocks Build a triangle that is 1/3 green and 2/3 red. Build a triangle that is 2/3 red, 1/9 green, and 2/9 blue.

Fractions with Pattern Blocks Using ten shapes total (red, blue, yellow, green), create one larger shape. If the total area of the shape created is 1, then what are the fractional areas of each piece?

Practice Reena has 4 candies left. If those candies are 2/3 of the number she had before she started eating them, what was her original number? Lamon, S. (2008). Teaching Fractions and Ratios for Understanding

Fractions Revisited Jose spent ⅖ of his money on a CD. The CD cost $12. How much money did he have at first?

Fair Share How do you divide 4 cookies among 6 people evenly? In your groups, write 2 fair share word problems to use with your students.

Brownie Problem I invited 8 people to a party (including me), and I had only 3 brownies. How much did each person get if everyone got a fair share? We were still really hungry, and I finally found 2 more brownies in the bottom of the cookie jar. They were kind of stale, but we ate them anyway. This time how much brownie did each person get? How much brownie had each person eaten altogether? http://www.terc.edu/ourwork/elementarymath.html

Comparing Fraction Which is greater, ¾ or 2/7? Think in terms of cookies and people. Yesterday we had 3 cookies for 4 people. Today we have fewer cookies and more people. Of course each person will get less. 2/7 < 3/4 Lamon, S. (2008). Teaching Fractions and Ratios for Understanding

Comparing Fractions Now you try: Compare ⅚ and ¾. Now you try: Compare ⅝ and 8/12, using the Egyptian Method