# Prep 2011 workshop Math for Elementary Education

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* Problem Solving Strategies | * Problem Solving Strategies | ||

** General Strategies | ** General Strategies | ||

− | |||

** Patterns | ** Patterns | ||

** Algebra | ** Algebra | ||

** Logical Reasoning | ** Logical Reasoning | ||

+ | |||

* Sets and Functions | * Sets and Functions | ||

+ | ** Sets and Set Operations | ||

+ | ** Counting with Sets and Venn Diagrams | ||

+ | ** Functions and Their Properties | ||

+ | ** Function Applications | ||

+ | |||

* Numeration Systems | * Numeration Systems | ||

+ | ** Ancient Numeration Systems | ||

+ | ** The Hindu-Arabic System | ||

+ | ** Bases Other than Ten | ||

+ | |||

* Whole Number Arithmetic | * Whole Number Arithmetic | ||

+ | ** Addition | ||

+ | ** Subtraction | ||

+ | ** Multiplication | ||

+ | ** Division | ||

+ | |||

* Number Theory | * Number Theory | ||

− | * Fractions and Rational Numbers | + | ** 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 | * Decimals and Real Numbers | ||

− | * Proportions | + | ** Irrational and Real Numbers |

− | * Percents | + | ** Decimal Computation and Applications |

+ | |||

+ | * Proportions and Percents | ||

+ | ** Ratios and Proportions | ||

+ | ** Percents | ||

=== Second Term === | === Second Term === | ||

* Coordinate Geometry | * Coordinate Geometry | ||

+ | ** Cartesian Coordinate System | ||

+ | ** Graphing and Applications | ||

+ | ** Connecting Algebra and Geometry | ||

+ | |||

* Geometric Figures | * Geometric Figures | ||

+ | ** Figures in the Plane | ||

+ | ** Polygons | ||

+ | ** Figures in Space | ||

+ | |||

* Symmetry and Transformations | * Symmetry and Transformations | ||

+ | ** Similarity Transformations | ||

+ | ** Types of Symmetry | ||

+ | ** Tiling the Plane | ||

+ | |||

* Measurement: Length, Area and Volume | * Measurement: Length, Area and Volume | ||

− | * | + | ** Units of Measure |

+ | ** Area and Perimeter | ||

+ | ** Pythagorean Theorem | ||

+ | ** Similarity | ||

+ | ** Volume and Surface Area | ||

+ | |||

* Statistics | * Statistics | ||

+ | ** Organizing Data | ||

+ | ** Populations and Sampling | ||

+ | ** Measures of Center | ||

+ | ** Measures of Variation | ||

+ | ** Measures of Relative Standing | ||

+ | |||

* Probability | * Probability | ||

+ | ** Introduction to Probability | ||

+ | ** Principles of Counting | ||

+ | ** Theoretical Probability | ||

+ | ** Random Variables and Expected Value |

## Latest revision as of 15:55, 24 June 2011

## Contents |

# Working page for the Math for Elementary Education group at PREP 2011

## Preliminary Topic List - 2011-06-23

### 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