It will provide your students with plenty of practice in placing and identifying fractions on a number line. The answers are included.
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Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Explain why a fraction 𝘢/𝘣 is equivalent to a fraction (𝘯 × 𝘢)/(𝘯 × 𝘣) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
Represent a fraction 𝘢/𝘣 on a number line diagram by marking off 𝘢 lengths 1/𝘣 from 0. Recognize that the resulting interval has size 𝘢/𝘣 and that its endpoint locates the number 𝘢/𝘣 on the number line.