Five pages of the logical Venn diagrams found in reasoning workbooks, where the question is how groups relate before anything is sorted. Page 1 picks one of three diagrams for twelve pairs of groups: one inside the other, overlapping, or apart. Page 2 picks one of six diagrams for nine sets of three groups, such as Animals, Birds and Owls. Page 3 reads two nested diagrams and completes sentences with All, Some or No. Page 4 draws a labeled diagram for six sets of groups. Page 5 answers questions about counts in nested and separate circles, where some parts have to be empty.
Ask two questions for every pair of groups: Is every A a B? Is every B an A? Yes to one means one circle goes inside the other; no to both means overlap or apart, and then ask whether anything can be both. Page 3 is a natural lead-in to talking about how all squares are rectangles but only some rectangles are squares. Page 4 makes a good partner task: one draws, the other checks with the two questions.
Play a quick game in the car or at dinner: name two groups, like dogs and pets or apples and bananas, and ask whether the circles would overlap, sit inside each other, or stay apart. Ask for a reason each time.
This pack supports the following Common Core State Standards for Mathematics:
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Logical reasoning with Venn diagrams of groups that sit inside each other, overlap or stay apart. Students pick the diagram that fits two or three groups, finish sentences with All, Some or No and draw diagrams of their own.
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