Decide if each statement is true or false. Be prepared to explain your reasoning.

1. To subtract different fractions from , Noah draws jumps on number lines.
   

   

   Number line. 13 evenly spaced tick marks. First tick mark, 0. Seventh, 1. Thirteenth, 2. Arrow from point at twelfth tick mark, labeled eleven sixths to fifth tick mark.

   

   Number line. 13 evenly spaced tick marks. First tick mark, 0. Seventh, 1. Thirteenth, 2. Arrow from point at twelfth tick mark, labeled eleven sixths to ninth tick mark.

   

   Number line. 13 evenly spaced tick marks. First tick mark, 0. Seventh, 1. Thirteenth, 2. Arrow from point at twelfth tick mark, labeled eleven sixths to seventh tick mark.

   1. The first diagram shows how he finds . What is the value of ?
   2. Write an equation to show the difference represented by each of Noah’s diagrams.
2. Here is another diagram Noah draws:

   

   Number line. 13 evenly spaced tick marks. First tick mark, 0. Seventh, 1. Thirteenth, 2. Arrow from point at twelfth tick mark, labeled eleven sixths to sixth tick mark.

   Which equations could the diagram represent? Explain your reasoning.

3. Use a number line to represent each difference and find its value.

   1. 

   2. 

   3. 

Use a number line to represent each difference and find its value.

Here are 4 number lines, each with a point on it. Label each point with the fraction it represents.

The points you labeled are your targets. Follow these directions for each number line:

• Pick a card from the set given to you. Locate and label the fraction on the number line.
• From that point, draw one or more jumps to reach the target. What do you need to subtract? Label each jump you draw.
• Write an equation to represent the difference of your two fractions.