Assess Yourself
How well do you understand the ideas in this lesson?
Goal:
Goal:
Are you ready to take this lesson's quiz? These questions will help you find out. Go back to the lesson if you do not know an answer.
Which number lines prove \({ \frac{2}{3} }\) and \({ \frac{4}{6} }\) are equivalent fractions?
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Two number lines.
Top: Number line from 0 to 1 with 4 marks in between. Marks are labeled from \({ \frac{0}{3} }\) to \({ \frac{3}{3} }\) with a dot on \({ \frac{2}{3} }\).
Bottom: 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 \({ \frac{4}{6} }\).
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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 \({ \frac{8}{8} }\).
Bottom: 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 \({ \frac{2}{6} }\).
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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 \({ \frac{2}{2} }\).
Bottom: Number line from 0 to 1 with 4 marks in between. Marks are labeled from \({ \frac{0}{3} }\) to \({ \frac{3}{3} }\) with a dot on \({ \frac{2}{3} }\).
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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 \({ \frac{4}{6} }\).
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 \({ \frac{6}{8} }\).
Yes! The dots on these number lines make a straight line from \({ \frac{2}{3} }\) to \({ \frac{4}{6} }\).
Sorry, that is not correct. The dots on these number lines do not line up.
Sorry, that is not correct. The dots on these number lines do not line up.
Sorry, that is not correct. The dots on these number lines do not line up.
Which models show \({ \frac{2}{2} }\) is equivalent to \({ \frac{8}{8} }\)?
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Two rectangles.
Top: Rectangle partitioned into 4 parts with 1 filled in.
Bottom: Rectangle partitioned into 8 parts with 2 filled in.
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Two rectangles.
Top: Rectangle partitioned into 2 parts with 2 filled in.
Bottom: Rectangle partitioned into 8 parts with 6 filled in.
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Two rectangles.
Top: Rectangle partitioned into 2 parts with 2 filled in.
Bottom: Rectangle partitioned into 8 parts with 8 filled in.
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Two rectangles.
Top: Rectangle partitioned into 4 parts with 1 filled in.
Bottom: Rectangle partitioned into 8 parts with 6 filled in.
Sorry, that is not correct. These shapes show that \({ \frac{1}{4} }\) is equivalent to \({ \frac{2}{8} }\).
Sorry, that is not correct. These models show \({ \frac{2}{2} }\) and \({ \frac{6}{8} }\).
Yes! These shapes show that \({ \frac{2}{2} }\) is equivalent to \({ \frac{8}{8} }\).
Sorry, that is not correct. These shapes show \({ \frac{1}{4} }\) and \({ \frac{6}{8} }\).
Which fractions are equivalent according to these models?
- \({ \frac{0}{4} = \frac{2}{2} }\)
- \({ \frac{2}{3} = \frac{1}{2} }\)
- \({ \frac{1}{8} = \frac{4}{6} }\)
- \({ \frac{4}{8} = \frac{3}{6} }\)
Sorry, that is not correct. These are not the fractions shown in the models.
Sorry, that is not correct. These are not the fractions shown in the models.
Sorry, that is not correct. These are not the fractions shown in the models.
Correct! \({ \frac{4}{8} }\) is equivalent to \({ \frac{3}{6} }\) because they name the same amount.
Which number lines prove \({ \frac{3}{6} }\) and \({ \frac{2}{4} }\) are equivalent fractions?
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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 \({ \frac{3}{6} }\).
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 \({ \frac{2}{4} }\).
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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 \({ \frac{3}{6} }\).
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 \({ \frac{2}{4} }\).
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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 \({ \frac{3}{6} }\).
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 \({ \frac{2}{4} }\).
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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 \({ \frac{3}{6} }\).
Bottom: Number line from 0 to 1 with X5 marks in between. Marks are labeled from \({ \frac{0}{4} }\) to \({ \frac{4}{4} }\) with a dot on \({ \frac{2}{4} }\).
Yes! These number lines have equal parts, and the dots line up.
Sorry, that is not correct. These number lines do not have equal parts.
Sorry, that is not correct. These number lines do not have equal parts.
Sorry, that is not correct. These number lines do not have equal parts.
Which number lines prove \({ \frac{1}{2} }\) and \({ \frac{4}{8} }\) are equivalent fractions?
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Two number lines.
Top: Number line from 0 to 1 with 3 marks in between. Marks are labeled from \({ \frac{}{} }\) to \({ \frac{}{} }\) with a dot on \({ \frac{}{} }\).
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 \({ \frac{3}{4} }\).
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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 \({ \frac{1}{2} }\).
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 \({ \frac{4}{8} }\).
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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 7 marks in between. Marks are labeled from \({ \frac{0}{6} }\) to \({ \frac{6}{6} }\) with a dot on \({ \frac{2}{6} }\).
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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 \({ \frac{8}{8} }\).
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 \({ \frac{1}{2} }\).
Sorry, that is not correct. The dots on these number lines do not line up, and they do not have equal parts.
Yes! The dots on these number lines make a straight line from \({ \frac{1}{2} }\) to \({ \frac{4}{8} }\), and they have equal parts.
Sorry, that is not correct. The dots on these number lines do not line up, and they do not have equal parts.
Sorry, that is not correct. The dots on these number lines do not line up, and they do not have equal parts.
Which models show \({ \frac{2}{4} }\) is equivalent to \({ \frac{1}{2} }\)?
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Rectangle partitioned into 6 equal parts with 2 filled in.
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Two number lines.
Top: Number line from 0 to 1 with 4 marks in between. Marks are labeled from \({ \frac{0}{3} }\) to \({ \frac{3}{3} }\) with a dot on \({ \frac{0}{3} }\).
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 \({ \frac{0}{4} }\).
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Two number lines.
Top: 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 \({ \frac{2}{4} }\).
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 \({ \frac{1}{2} }\).
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Two rectangles.
Top: Rectangle partitioned into 6 equal parts with 6 filled in.
Bottom: Rectangle partitioned into 2 equal parts with 2 filled in.
Sorry, that is not correct. These shapes show that \({ \frac{1}{3} }\) is equivalent to \({ \frac{2}{6} }\).
Sorry, that is not correct. These number lines show that \({ \frac{0}{3} }\) is equivalent to \({ \frac{0}{4} }\).
Yes! These number lines show that \({ \frac{2}{4} }\) is equivalent to \({ \frac{1}{2} }\).
Sorry, that is not correct. These shapes show that \({ \frac{6}{6} }\) is equivalent to \({ \frac{2}{2} }\).
Which fractions are equivalent according to these models?
- \({ \frac{3}{4} = \frac{1}{6} }\)
- \({ \frac{5}{8} = \frac{2}{4} }\)
- \({ \frac{2}{3} = \frac{1}{8} }\)
- \({ \frac{2}{6} = \frac{1}{3} }\)
Sorry, that is not correct. These are not the fractions shown in the models.
Sorry, that is not correct. These are not the fractions shown in the models.
Sorry, that is not correct. These are not the fractions shown in the models.
Correct! \({ \frac{2}{6} }\) is equivalent to \({ \frac{1}{3} }\) because they name the same amount.
Which number lines prove \({ \frac{1}{2} }\) and \({ \frac{2}{4} }\) are equivalent fractions?
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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 \({ \frac{1}{2} }\).
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 \({ \frac{2}{4} }\).
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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 \({ \frac{1}{2} }\).
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 \({ \frac{2}{4} }\).
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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 \({ \frac{1}{2} }\).
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 \({ \frac{2}{4} }\).
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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 \({ \frac{1}{2} }\).
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 \({ \frac{2}{4} }\).
Sorry, that is not correct. These number lines do not have equal parts.
Yes! These number lines have equal parts, and the dots line up.
Sorry, that is not correct. These number lines do not have equal parts.
Sorry, that is not correct. These number lines do not have equal parts.
Which number lines prove \({ \frac{4}{8} }\) and \({ \frac{1}{2} }\) are equivalent fractions?
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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 3 marks in between. Marks are labeled from \({ \frac{0}{2} }\) to \({ \frac{2}{2} }\) with a dot on \({ \frac{1}{2} }\).
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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 \({ \frac{4}{6} }\).
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 \({ \frac{1}{4} }\).
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Two number lines.
Top: Number line from 0 to 1 with 4 marks in between. Marks are labeled from \({ \frac{0}{3} }\) to \({ \frac{3}{3} }\) with a dot on \({ \frac{2}{3} }\).
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 \({ \frac{0}{2} }\).
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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 \({ \frac{8}{8} }\).
Bottom: 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 \({ \frac{1}{6} }\).
Yes! The dots on these number lines make a straight line from \({ \frac{4}{8} }\) to \({ \frac{1}{2} }\).
Sorry, that is not correct. The dots on these number lines do not line up.
Sorry, that is not correct. The dots on these number lines do not line up.
Sorry, that is not correct. The dots on these number lines do not line up.
Which models show \({ \frac{0}{3} }\) is equivalent to \({ \frac{0}{4} }\)?
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Two number lines.
Top: 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 \({ \frac{2}{4} }\).
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 \({ \frac{1}{2} }\).
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Two rectangles.
Top: Rectangle partitioned into 8 parts with 2 filled in.
Bottom: Rectangle partitioned into 4 parts with 1 filled in.
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Two rectangles.
Top: Rectangle partitioned into 3 parts with 0 filled in.
Bottom: Rectangle partitioned into 4 parts with 0 filled in.
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Two number lines.
Top: 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 \({ \frac{3}{4} }\).
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 \({ \frac{6}{8} }\).
Sorry, that is not correct. These number lines show that \({ \frac{2}{4} }\) is equivalent to \({ \frac{1}{2} }\).
Sorry, that is not correct. These shapes show that \({ \frac{2}{8} }\) is equivalent to \({ \frac{1}{4} }\).
Yes! These shapes show that \({ \frac{0}{3} }\) is equivalent to \({ \frac{0}{4} }\).
Sorry, that is not correct. These number lines show that \({ \frac{3}{4} }\) is equivalent to \({ \frac{6}{8} }\).
Summary
Questions answered correctly:
Questions answered incorrectly: