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Skills Covered

Sort numbers by three rules at once
Use odd and even numbers and multiples of 3 and 5
Read the eight parts of a three-circle diagram

Answer questions about one, two, all three, or none
Add the parts of a circle to find its total
Sort shapes by sides, shading and square corners

How to Use This Pack

Five pages that take the Venn diagram to three circles. Pages 1 and 2 sort sixteen numbers from a number bank, two in each of the eight parts, with the first number done as an example. Pages 3 and 4 read diagrams that show how many children are in each school club and play each sport, with six questions each: only one, exactly two, all three, none, and how many in all. Page 5 sorts twelve numbered shapes by whether they have 4 sides, are shaded, and have a square corner.

In the Classroom

Before page 1, test one number aloud against all three rules: Is 21 odd? Is it a multiple of 3? Is it greater than 15? Three yes answers put it in the very middle. Show how each "no" moves the number out of that circle. On page 3, have students shade a whole circle with a pencil before adding its parts, so they see that the art club includes four numbers, not one.

At Home

Pick three questions about your family, like "Wears glasses?", "Likes pizza?" and "Has a pet?", and sort everyone into a three-circle diagram drawn on paper. Then ask who is in all three circles and who is in none.

Tips for Success

Test every number against all three rules before writing it
The very middle is for numbers that fit all three rules
A circle's total is all four of its parts added together
Exactly two means a part where only two circles overlap
Use a square corner of a sheet of paper to check corners on page 5

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

2.OA.C.3 Decide if up to 20 objects are odd or even (match them in twos or skip count by 2s); write evens as doubles.
3.OA.D.9 Spot patterns in addition tables, times tables and other arithmetic, and explain them with properties, like why multiples of 5 end in 0 or 5.
3.G.A.1 See that shapes like rhombuses, rectangles and squares share features, such as four sides, that make them all quadrilaterals; draw quadrilaterals outside those groups.

Three-Circle Venn Diagrams

3rd Grade

A 5-page pack of three-circle Venn diagrams for 3rd grade. Sort numbers by odd and even, multiples of 3 and 5, and greater or less than; read diagrams of school clubs and sports to answer questions about one, two, all three, or none; and sort shapes by their sides, shading, and square corners. Every page comes in color and in black and white. Answer keys included.

Download PDF

What’s Included

5 worksheets in color and in black and white, with answer keys (15 pages)
Two number sorts with sixteen numbers and a worked example
Two read-the-diagram pages with six questions each
A shape sort with twelve shapes

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Free to print and share

This worksheet is free to download, print, copy, and hand out in your classroom or at home. You do not need to create an account, and there are no watermarks on the PDF.