Grades 6–7 Skill Standards: CCSS 7.SP — set reasoning

Sorting with Venn Diagrams (Grades 6–7)

A Venn diagram sorts items by their properties. Two overlapping circles create four regions: only-A, only-B, both (the overlap), and neither (outside). Sorting a number like 6 by "even" and "greater than 5": it's even and greater than 5, so it goes in the overlap.

What it is

Understanding venn diagrams & sets

A Venn diagram sorts items by their properties. Two overlapping circles create four regions: only-A, only-B, both (the overlap), and neither (outside). Sorting a number like 6 by "even" and "greater than 5": it's even and greater than 5, so it goes in the overlap.

Key Idea

A Venn diagram sorts items by their properties. Two overlapping circles create four regions: only-A, only-B, both (the overlap), and neither (outside). Sorting a number like 6 by "even" and "greater than 5": it's even and greater than 5, so it goes in the overlap.

Worked Example

Seeing it in action

1
Worked example

Sort 6 by "even" (A) and "greater than 5" (B).

6 is even ✓ and greater than 5 ✓ → it belongs in the overlap (both A and B).

Visual model
A only · both · B only · neither

Sort by whether each property is true.

Interactive Check

Try a few

Sort 3 by "even" and ">5"
Answer: neither

odd, and not >5.

Sort 8 by "even" and ">5"
Answer: both
Sort 4 by "even" and ">5"
Answer: A only

even, but not >5.

Free game

Two-Ring Outpost

A calm two-circle Venn diagram game for sorting sets and practicing AND/OR logic.

Play: Two-Ring Outpost

Ready for the interactive lab?

Practice venn diagrams & sets in Numeris with instant feedback.

Practice this skill in the Lab

Put the reasoning on paper.

Try six fraction, angle, perimeter and area questions with explained answers, for grades 4–6.

Free printable · 3 pages
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Free Math Sample

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