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Sets, Functions, and Reasoning

2.1 Sets and Venn Diagrams: Illustrates set relations and operations through Venn diagrams and attribute pieces. Subsections: Sets and Their Elements; Relationships between Sets; Operations on Sets; Problem-Solving Application. One-page Math Activity: Sorting and Classifying Attribute Pieces

2.2 Functions and Graphs: Presents examples of functions, introduces the rectangular coordinate system and linear and nonlinear functions, and contains examples for interpreting graphs. Subsections: Functions; Graphs of Functions; Interpreting Graphs; Problem Solving Application. One-page Math Activity: Number Sequences from Geometric Patterns

2.3 Introduction to Deductive Reasoning: Presents an introduction to deductive reasoning and illustrates valid and invalid reasoning with Venn diagrams. Subsections: Deductive Reasoning; Venn Diagrams; Conditional Statements; Reasoning with Conditional Statements; Problem-Solving Application. One-page Math Activity: Deductive Reasoning Game
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Imagine a coordinate system that has a hidden polygon and all you are given is the slopes of its sides. How many points will it take you to determine its location? This is a challenge you may enjoy.
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In This Chapter

Sets, Functions, and Reasoning
Hunting for Hidden Polygons
Internet Resources

Sets and Venn Diagrams
Bibliography
Math Investigation
Writing/Discussion Problems

Functions and Graphs
Bibliography
Math Investigation
Writing/Discussion Problems

Introduction to Deductive Reasoning
Bibliography
Math Investigation
Writing/Discussion Problems








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