3.NF.3a-d Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

Think about the problem. Use the picture on the next slide to help Sophie and Felix Sophie has soccer practice 6 days a week for 30 minutes Felix has soccer practice 3 days a week for 1 hour One week Sophie only had four days of practice That same week Felix only had 2 days of practice Who practiced soccer longer? Think about the problem. Use the picture on the next slide to help

Minutes of soccer practice for Sophie and Felix Use the picture below to help Who had more practice time? 30 60 The practiced the same amount of time

Minutes of soccer practice for Sophie and Felix Use the picture below to help Who had more practice time? They had the same amount of practice time 30 60 The practiced the same amount of time

Name the shaded fraction different ways ¾ and 12/16

Shade 2/3 of the rectangle in different ways

Maggie drew two pictures below. She said ¼ is bigger than ½ . Is she correct? While it is true that the shaded region on the right has a smaller area than the shaded region on the left, the picture doesn't help us to compare 1/4 and 1/2 . The reason is that the two wholes have different areas, and are thus different sizes. In order to correctly compare these two fractions, we need to draw a picture of them with the same sized whole. The picture on the next slide correctly shows that 1/2 is greater than 1/4 :

When comparing fractions we need to compare the same whole She said ¼ is bigger than ½ . Is she correct? While it is true that the shaded region on the right has a smaller area than the shaded region on the left, the picture doesn't help us to compare 1/4 and 1/2 . The reason is that the two wholes have different areas, and are thus different sizes. In order to correctly compare these two fractions, we need to draw a picture of them with the same sized whole. The picture on the next slide correctly shows that 1/2 is greater than 1/4 :

Show 2/3 is equal to 4/6 using a number line I I I I I I I 0 1 Allow students to work with a partner and draw a number line to prove the equality. Then click though to show the answer You can also click once to reveal a number line that you can annotate with the help of the students

Show 2/3 is equal to 4/6 using a number line I I I I I I I 0 1 Annotate this picture to show the sections of 2/3 and 4/6

Show 2/3 is equal to 4/6 using a number line I I I I I I I 0 1 Annotate this picture to show the sections of 2/3 and 4/6

Show 2/3 is equal to 4/6 using a number line I I I I I I I 0 1 Annotate this picture to show the sections of 2/3 and 4/6