Difference between revisions of "Prep 2011 workshop Math for Elementary Education"

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** 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
  +
** Addition and Subtraction of Fractions
  +
** Multiplication and Division of Fractions
  +
 
* 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
  +
** Volume and Surface Area
  +
 
* Congruence and Similarity
  
* Congruence and Similarity
  +
** Congruent Triangles
  +
** Similarity
  +
 
* 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

Revision as of 16:24, 23 June 2011

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
    • Pictures
    • 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
    • Addition and Subtraction of Fractions
    • Multiplication and Division of Fractions
  • 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
    • Volume and Surface Area
  • Congruence and Similarity
    • Congruent Triangles
    • Similarity
  • 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
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