Let’s Practice!
Which models show equivalent fractions?
Goal:
Goal:
We have been practicing how to create models to prove that 2 fractions are equivalent. In this next game, you will choose the models that show equivalent fractions. Remember, the models should be the same size and shape, and they should be partitioned correctly!
Which fractions are equivalent?
Which circles prove \({ \frac{1}{3} }\) and \({ \frac{2}{6} }\) are equivalent fractions?
Two circles.
First circle is partitioned into 3 parts with 1 parts filled in.
Second circle is partitioned into 6 parts with 3 parts filled in.
Two circles.
First circle is partitioned into 3 parts with 1 parts filled in.
Second circle is partitioned into 6 parts with 3 parts filled in.
Two circles.
First circle is partitioned into 3 parts with 1 parts filled in.
Second circle is partitioned into 6 parts with 3 parts filled in.
The correct circles have equal parts, and their colored sections take up the same amount of space.
The correct circles have equal parts, and their colored sections take up the same amount of space.
The correct circles have equal parts, and their colored sections take up the same amount of space.
Which number lines prove \({ \frac{4}{8} }\) and \({ \frac{2}{4} }\) are equivalent fractions
Two number lines.
Top number line from 0 to 1 with 9 marks in between. Marks are labeled from \({ \frac{0}{8} }\) to \({ \frac{8}{8} }\) with a dot on \({ \frac{4}{8} }\).
Bottom number line from 0 to 1 with 5 marks in between. Marks are labeled from \({ \frac{0}{4} }\) to \({ \frac{4}{4} }\) with a dot on \({ \frac{2}{4} }\).
Two number lines.
Top number line from 0 to 1 with 9 marks in between. Marks are labeled from \({ \frac{0}{8} }\) to \({ \frac{8}{8} }\) with a dot on \({ \frac{6}{8} }\).
Bottom number line from 0 to 1 with 5 marks in between. Marks are labeled from \({ \frac{0}{4} }\) to \({ \frac{4}{4} }\) with a dot on \({ \frac{2}{4} }\).
Two number lines.
Top number line from 0 to 1 with 9 marks in between. Marks are labeled from \({ \frac{0}{8} }\) to \({ \frac{8}{8} }\) with a dot on \({ \frac{4}{8} }\).
Bottom number line from 0 to 1 with 5 marks in between. Marks are labeled from \({ \frac{0}{4} }\) to \({ \frac{4}{4} }\) with a dot on \({ \frac{1}{4} }\).
The correct number lines have dots that line up and have equal parts.
The correct number lines have dots that line up and have equal parts.
The correct number lines have dots that line up and have equal parts.
Which rectangles prove \({ \frac{3}{6} }\) and \({ \frac{1}{2} }\) are equivalent fractions?
Two rectangles.
Top rectangle is partitioned into 6 parts with 3 filled in.
Bottom rectangle is partitioned into 2 parts with 1 filled in.
Two rectangles.
Top rectangle is partitioned into 6 parts with 3 filled in.
Bottom rectangle is partitioned into 2 parts with 1 filled in.
Two rectangles.
Top rectangle is partitioned into 6 parts with 3 filled in.
Bottom rectangle is partitioned into 2 parts with 1 filled in.
The correct rectangles have equal parts, and their colored sections take up the same amount of space.
The correct rectangles have equal parts, and their colored sections take up the same amount of space.
The correct rectangles have equal parts, and their colored sections take up the same amount of space.
Which number lines prove \({ \frac{0}{2} }\) and \({ \frac{0}{8} }\) are equivalent fractions?
Two number lines.
Top number line from 0 to 1 with 7 marks in between. Marks are labeled from \({ \frac{0}{6} }\) to \({ \frac{6}{6} }\) with a dot on \({ \frac{2}{6} }\).
Bottom number line from 0 to 1 with 3 marks in between. Marks are labeled from \({ \frac{0}{2} }\) to \({ \frac{2}{2} }\) with a dot on \({ \frac{1}{2} }\).
Two number lines.
Top number line from 0 to 1 with 3 marks in between. Marks are labeled from \({ \frac{0}{2} }\) to \({ \frac{2}{2} }\) with a dot on \({ \frac{0}{2} }\).
Bottom number line from 0 to 1 with 9 marks in between. Marks are labeled from \({ \frac{0}{8} }\) to \({ \frac{8}{8} }\) with a dot on \({ \frac{0}{8} }\).
Two number lines.
Top number line from 0 to 1 with 9 marks in between. Marks are labeled from \({ \frac{0}{8} }\) to \({ \frac{8}{8} }\) with a dot on \({ \frac{0}{8} }\).
Bottom number line from 0 to 1 with 5 marks in between. Marks are labeled from \({ \frac{0}{4} }\) to \({ \frac{4}{4} }\) with a dot on \({ \frac{1}{4} }\).
The correct number lines have dots that line up and have equal parts.
The correct number lines have dots that line up and have equal parts.
The correct number lines have dots that line up and have equal parts.
Which squares prove \({ \frac{4}{4} }\) and \({ \frac{8}{8} }\) are equivalent fractions?
Two rectangles.
Top rectangle is partitioned into 3 parts with 3 filled in.
Bottom rectangle is partitioned into 8 parts with 8 filled in.
Two rectangles.
Top rectangle is partitioned into 4 parts with 4 filled in.
Bottom rectangle is partitioned into 8 parts with 8 filled in.
Two rectangles.
Top rectangle is partitioned into 4 parts with 4 filled in.
Bottom rectangle is partitioned into 8 parts with 8 filled in.
The correct squares have equal parts, and their colored sections take up the same amount of space.
The correct squares have equal parts, and their colored sections take up the same amount of space.
The correct squares have equal parts, and their colored sections take up the same amount of space.
You got # out of # correct. Click the Retry button for another attempt.
You got a perfect score. Great job!
Which shapes show equivalent fractions? Click the shapes below to find out!
Two rectangles.
Left rectange is partitioned into 8 parts with 6 filled in.
Right rectange is partitioned into 4 parts with 3 filled in.
Two rectangles.
Left rectange is partitioned into 8 parts with 6 filled in.
Right rectange is partitioned into 4 parts with 3 filled in.
😀 Yes! These shapes show \({ \frac{6}{8} }\) and \({ \frac{3}{4} }\) are equivalent fractions because both shapes are squares, they are partitioned into equal parts, and the purple sections take up the same amount of space.
Two rectangles.
Left rectange is partitioned into 8 parts with 6 filled in.
Right rectange is partitioned into 4 parts with 3 filled in.
Two rectangles.
Left rectange is partitioned into 8 parts with 6 filled in.
Right rectange is partitioned into 4 parts with 3 filled in.
🤔 These shapes are not partitioned into equal parts, so they do not show equivalent fractions.