# ModelCourses/Math for Elementary Education

From WeBWorK

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* Percents | * Percents | ||

− | + | = Second Term = | |

− | + | === [[ModelCourses/Math4Teachers/FirstTerm/CoordinateGeometry|Coordinate Geometry]] === | |

− | + | :[[file21|Problem set for this unit]] | |

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− | * | + | * Cartesian Coordinate System |

− | * | + | * Graphing and Applications |

− | * | + | * Connecting Algebra and Geometry |

− | + | ||

− | + | === [[ModelCourses/Math4Teachers/FirstTerm/GeometricFigures|Geometric Figures]] === | |

− | + | :[[file21|Problem set for this unit]] | |

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− | * | + | * Figures in the Plane |

− | * | + | * Polygons |

− | * | + | * Figures in Space |

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− | + | ||

− | + | === [[ModelCourses/Math4Teachers/FirstTerm/SymmetryTransformations|Symmetry and Transformations]] === | |

− | + | :[[file22|Problem set for this unit]] | |

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− | * | + | * Similarity Transformations |

− | ** Introduction to Probability | + | * Types of Symmetry |

− | + | * Tiling the Plane | |

− | + | ||

− | + | === [[ModelCourses/Math4Teachers/FirstTerm/Measurement|Measurement: Length, Area and Volume]] === | |

+ | :[[file23|Problem set for this unit]] | ||

+ | |||

+ | * Units of Measure | ||

+ | * Area and Perimeter | ||

+ | * Pythagorean Theorem | ||

+ | * Similarity | ||

+ | * Volume and Surface Area | ||

+ | |||

+ | === [[ModelCourses/Math4Teachers/FirstTerm/Statistics|Statistics]] === | ||

+ | :[[file24|Problem set for this unit]] | ||

+ | |||

+ | * Organizing Data | ||

+ | * Populations and Sampling | ||

+ | * Measures of Center | ||

+ | * Measures of Variation | ||

+ | * Measures of Relative Standing | ||

+ | |||

+ | === [[ModelCourses/Math4Teachers/FirstTerm/Probability|Probability]] === | ||

+ | :[[file25|Problem set for this unit]] | ||

+ | |||

+ | * Introduction to Probability | ||

+ | * Principles of Counting | ||

+ | * Theoretical Probability | ||

+ | * Random Variables and Expected Value | ||

=[[ModelCourses|Other Model Courses]]= | =[[ModelCourses|Other Model Courses]]= |

## Revision as of 15:43, 14 December 2011

Mathematics for Elementary Educators

PREP 2011 Model Course

Prepared by Mike Diehl and Jonathan Duncan

## Contents |

## Description

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.

## To Do

- Finish writing/finding problems (have approximately 240, need approximately 30 more)
- Write set header files
- Create PDF files for homework assignments
- Tag written problems for NPL
- Write solutions
- Shamelessly copy Multi-variable Calculus wiki layout

## 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