What do you notice? What do you wonder?

Here’s a diagram of fraction strips, with two blank strips added.

1. Use one blank strip to show tenths. Label the parts. How did you partition the strip?

2. Use the other blank strip to show twelfths. Label the parts. How did you partition the strip?

3. Jada says, “I notice that 1 of the parts is the same size as 2 of the  parts and 3 of the parts. So, , , and must be equivalent fractions.” Jada’s reasoning is correct.

   Find a fraction in the diagram that is equivalent to each of the following fractions. Be prepared to explain your reasoning.

1. The point on this number line shows the fraction .

   

   Label the tick marks on each number line.

   

   

   

2. You will locate , , and on one of the number lines.

   1. Which number line would you use for each fraction? Be prepared to explain your reasoning.

   2. Locate and label each fraction (, , and ) on a different number line.

3. Locate and label each fraction on one of the number lines.