## MTH211 Foundations of Elementary Math 1

### Fun with whole numbers.

Notes on Whole Numbers
Fall 2019

### Chapter 2: Sets and Reasoning

Outcomes

• Construct viable arguments and critique the reasoning of others.
• Understand and use stated assumptions, definitions, and previously established results in constructing arguments.
• Make conjectures and build a logical progression of statements to explore the truth of their conjectures.

#### § 2.1 Sets and Venn Diagrams

Main Topics

• Set
• Attribute
• Membership
• Venn diagrams
• Universal Set
• Disjoint Sets
• Equal
• Equivalent
• One-to-one Correspomdence
• Finite vs. Infinite
• Set Operations
• Intersection A cap B
• Union A cup B
• Complement A'
##### Math Activity 2.1: Sorting and Classifying Attribute Pieces

Purpose: Use attribute pieces to sort and classify according to shared characteristics.

Materials: Attribute Pieces

You can open the image above in a new tab to print it and cut the pieces out, or use the app below.

1. Make a pattern with attribute pieces by changing only one attribute at a time.
You can draw the shapes and/or use abbreviations like SGH for Small Green Hexagon.
How long of a sequence can you make?
2. Make a pattern with attribute pieces by changing two attributes at a time.
How long of a sequence can you make?
3. Pick two attributes.
Make a Venn diagram for the two sets.
Please the attribute pieces in the correct location.
Draw this with abbreviations for the pieces like LBT for Large Blue Triangle.
4. Pick three attributes.
Make a Venn diagram for the three sets.
Please the attribute pieces in the correct location.
Draw this with abbreviations for the pieces like LBT for Large Blue Triangle.

You can use the app below if you don't have this set of attribute pieces printed and cut out.

To use the app, select a Venn diagram button, then select "Click" to see the different attribute options. You can always make up your own attribute like "not  circle" or "primary paint color". Then drag shapes to the correct location.

open app in new tab