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Beginning Algebra Made Useful
Charlene E. Beckmann, Ph.D.
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Contents
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Front Matter
Colophon
Preface
Publisher's Note
1
Getting Ready to Learn Mathematics
Learning How to Learn Mathematics
Thinking Together and Mathematical Mindset
Connecting Mathematics Through Representations
Flexibility with Numbers and Order of Operations
Four Fours Problem, Extended
Generalizations and Variables: Patterns in the 100s Chart
More with Patterns and Variables: Rectangular Patterns in the 100s Chart
Patterns and Variables: Justifying Patterns with Algebra
Algebra and Number Puzzles
2
Proportional Reasoning and Linear Functions
Representations: Graphs, Data, and Algebra through Children's Literature
Creating and Critiquing Graphs
Interpreting and Creating Graphs: The Hare and the Tortoise
Graphs, Tables, and Linear Functions: Analyzing a Race
Proportional Reasoning Every Day
Distinguishing Proportional Relationships from Other Linear Relationships
The Meanings of Slope and
y
-Intercept, Connecting Graphs and Equations
Linear Functions: Big Ideas
Analyzing Tile Patterns
3
Using Linear Functions to Solve Problems
Linear Equations Arising in Practical Situations
Solving Linear Equations: Packaging Stacked Cups
Eyeballing Lines of Best Fit
Linear Regression and Lines of Best Fit
Systems of Equations
More Systems of Equations
Using Quantity Rate Value Tables to Determine Equations
4
Introduction to Quadratic Functions
Another Type of Function?
Functions Arising from the Products of Two Lines
Multiplying Linear Factors and Factoring Quadratic Expressions
Rates of Change of Quadratic Functions
Function Families
What Do You Know about Functions?
Authored in PreTeXt
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Chapter
1
Getting Ready to Learn Mathematics
1.1
Learning How to Learn Mathematics
1.2
Thinking Together and Mathematical Mindset
1.3
Connecting Mathematics Through Representations
1.4
Flexibility with Numbers and Order of Operations
1.5
Four Fours Problem, Extended
1.6
Generalizations and Variables: Patterns in the 100s Chart
1.7
More with Patterns and Variables: Rectangular Patterns in the 100s Chart
1.8
Patterns and Variables: Justifying Patterns with Algebra
1.9
Algebra and Number Puzzles
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