# ModelCourses/Math for Elementary Education

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+ | Mathematics for Elementary Educators<br /> | ||

+ | PREP 2011 Model Course<br /> | ||

+ | Prepared by Mike Diehl and Jonathan Duncan<br /> | ||

+ | |||

+ | This is a model course for a two-term Mathematics for Elementary Educators course. | ||

+ | Below is a list of topics and sub-topics arranged in an order that is common for | ||

+ | many texts on the subject. In parentheses after each sub-topic is the path to a | ||

+ | PDF version of the homework assignment created for that topic. | ||

+ | |||

== List of Topics == | == List of Topics == | ||

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** Functions and Their Properties | ** Functions and Their Properties | ||

** Function Applications | ** Function Applications | ||

− | |||

* Numeration Systems | * Numeration Systems | ||

** Ancient Numeration Systems | ** Ancient Numeration Systems |

## Revision as of 09:48, 26 June 2011

Mathematics for Elementary Educators

PREP 2011 Model Course

Prepared by Mike Diehl and Jonathan Duncan

This is a model course for a two-term Mathematics for Elementary Educators course. Below is a list of topics and sub-topics arranged in an order that is common for many texts on the subject. In parentheses after each sub-topic is the path to a PDF version of the homework assignment created for that topic.

## List of Topics

### First Term

- Problem Solving Strategies
- General Strategies
- Patterns
- Algebra
- Logical Reasoning

- Sets and Functions
- Sets and Set Operations
- Counting with Sets and Venn Diagrams
- Functions and Their Properties
- Function Applications

- Numeration Systems
- Ancient Numeration Systems
- The Hindu-Arabic System
- Bases Other than Ten

- Whole Number Arithmetic
- Addition
- Subtraction
- Multiplication
- Division

- Number Theory
- Divisibility
- Tests for Divisibility
- Primes and Prime Factorization
- Greatest Common Divisors and Least Common Multiples

- Integers, Fractions, and Rational Numbers
- Integer Operations
- Modeling Fractions
- Fractional Number Sense
- Fraction Operations

- Decimals and Real Numbers
- Irrational and Real Numbers
- Decimal Computation and Applications

- Proportions and Percents
- Ratios and Proportions
- Percents

### Second Term

- Coordinate Geometry
- Cartesian Coordinate System
- Graphing and Applications
- Connecting Algebra and Geometry

- Geometric Figures
- Figures in the Plane
- Polygons
- Figures in Space

- Symmetry and Transformations
- Similarity Transformations
- Types of Symmetry
- Tiling the Plane

- Measurement: Length, Area and Volume
- Units of Measure
- Area and Perimeter
- Pythagorean Theorem
- Similarity
- Volume and Surface Area

- Statistics
- Organizing Data
- Populations and Sampling
- Measures of Center
- Measures of Variation
- Measures of Relative Standing

- Probability
- Introduction to Probability
- Principles of Counting
- Theoretical Probability
- Random Variables and Expected Value