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.

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