Activities

1. Write an equation that represents the fraction

2. Write an expression that represents the mixed number as a sum of fractions.

3. Write an equation that shows another way to represent and draw a model that supports your answer.

4. Shade the figure to show and explain.
   

   

5. Find all the ways that you can represent as expressions. (You do not need to count reversals, for example 3+2 is the same as 2+3.)

6. The square below is divided up into equal pieces.  Does the expression represent the amount of the square that is shaded?  Explain.  Write another example of an expression that would represent the shaded part of the square and explain why it is correct.

Answer Key/Rubric

1. Acceptable responses may include, but are not limited to:

2. Acceptable responses may include, but are not limited to:

3. Answers may vary.  Acceptable responses may be similar to one shown below:

4. Reasons for shading might include, but are not limited to:

• Shaded one whole block to show a whole number one
• Shading is equal to shading one whole
• Shading 6 out of the eight blocks on the bar is the same as

5. All the ways to represent :

6. Yes, the expression that is given represents the shaded region of the square. 

Reasons might include, but are not limited to:

• The numerators add up to 55
• The denominators are both 100 and the square is broken into 100 equal parts
• When you add all the fractions you get the amount that is shaded in

Additional expressions may vary but must meet the following criteria:

• Denominators must be 100
• All the numerators have to add up to 55
• When you add the fractions up you need to get
• Possible expression: