Grades: 3‒5

Students use logical reasoning skills to arrange circles so that the numbers they enclose equal a given target sum. Students must consider if and how the circles should overlap, so that some numbers appear in up to three circles simultaneously. Sketchpad generates random challenges for the students, or they can create their own problems to share.

OBJECTIVES

- Given a collection of possible addends, students will select those numbers whose sum matches a given target value.
- Students will use logical reasoning to arrange sets of addends so that the numbers satisfy several conditions simultaneously.

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

3.OA9

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