Number and Operations-Fractions

Extend understanding of fraction equivalence and ordering.
4.NF.1 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.
Tasks
4.NF.1 Task 1: Equivalent Pizzas
4.NF.1 Task 2: Comparing Ropes
4.NF.1 Task 3: Trading Blocks
4.NF.1 Task 4: Splitting to Make Equivalent Fractions
4.NF.1 Task 5: Fraction Rectangles
4.NF.1 Task 6: Tiling the Patio
4.NF.1 Task 7: Weird Piece of Cake

4.NF.2 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.
Tasks
4.NF.2 Task 1: The Whole Matters
4.NF.2 Task 2: Enough Soda
4.NF.2 Task 3: Which is Bigger?
4.NF.2 Task 4: Pattern Blocks
4.NF.2 Task 5: Who's on the Bus?
4.NF.2 Task 6: Who Has More Gum?