Grades: 4‒5

Students construct fractions on a number line that add up to different target sums, all greater than one. Given lists of possible numerators and denominators, students must build the fractions using only those numbers. Students identify strategies for constructing the sums using the fewest possible addends.

OBJECTIVES

- Students will develop strategies for adding fractions with like denominators to reach given target sums larger than one.
- Students will decompose improper fractions into sums of a whole number and a fractional part.

COMMON CORE CONNECTIONS

Mathematical Practices

(1) Make sense of problems and persevere in solving them; (2) Reason abstractly and quantitatively; (3) Construct viable arguments and critique the reasoning of others; (5) Use appropriate tools strategically; (7) Look for and make use of structure.

Content Standards

4.NF3, 4