Detailed Course Information

Sets, Logic, Probability

• Definition of a Set and the Empty Set
• Members of a Set
• Definition of Equal Sets
• Definition of Union of Sets
• N Notation
• Symbolic Notation for Union/Intersection
• Describing sets Using Set Notation
• Definition of Subsets
• Determining Subsets of Sets
• Subsets and "Less Than"
• Union of Sets as a Model for Addition
• Difference of Sets as a Model for Subtraction
• Using Sets to Introduce Multiplication
• Set Operations
• Union of Sets is Associative
• Answers in Set Notation

• Review of Addition and Subtraction Facts
• Counting From 101 to 200

• Thousands/Hundreds/Tens/Ones
• Even and Odd Numbers
• Review of Less Than and Greater Than
• Addition of 2 and 3 Digit Numbers
• Column Addition, Two and Three Digit Numbers
• Addition/Subtraction with/without Regrouping
• Pictorial Models for Regrouping
• Introduction to the Operation of Division
• Multiplication and Division Facts
• Checking Division by Multiplication
• Concept of Zero in Multiplication
• Products and Factors
• The Multiplication Table
• Concept of Length, Width, and Area
• Variables in Multiplication
• Multiplication by Powers of Ten
• Word Problems Involving One or More Steps
• Addition and Subtraction
• Multiplication and Division
• Average of Positive Integers
• Word Problems Involving Average
• Choosing the Correct Operation
• Adding Fractions
• Pictorial Models
• Like and Unlike Denominators
• Money Amounts in Decimal Notation
• Money Exchanges: Coins and Bills
• Dollars to Cents and Cents to Dollars
• Addition and Subtraction with Money
• Solving Word Problems Involving Money
• Introduction of the "not equal" Sign
• Introduction of the Word Binary
• Commutative Law for Addition and Multiplication
• Division and Subtraction are not Commutative
• Operations on Sets and the Commutative Law
• Associative Law for Addition and Multiplication
• Using the Associative Law in Multiplication
• Operations on Sets and the Associative Law
• Division and Subtraction are not Associative
• Distributive Law in Multiplication
• Determining Reasons for Equivalencies

• Numerator and Denominator
• Review of Fractional Parts of Numbers
• 1/2, 1/3 , 1/4, 2/3, 3/4 and Pictorial Models
• Fractions and Whole Numbers Represented on the Number Line
• Addition of Fractions Using the Number Line
• Measurement, Graphs, and Equations
• Mathematical Sentences and Corresponding English Sentences
• Forming Mathematical Equations from English Sentences
• Solving Equations by Substituting Values for Variables
• Units of Linear Measure, Customary: Inch, Foot, Yard, Rod, Mile

• Teaspoon, Tablespoon, Ounce, Cup, Pint, Quart, Gallon
• Time: Second, Minute, Hour, Day and Digital Time
• Time Before and Time After
• Calendar: Day, Week, Month, Year, Decade, Century

• Concept of Inside and Outside of a Geometric Figure
• Convex and Concave Plane Figures
• Points of Intersection
• Vertices of Geometric Figures
• Using Given Points to Construct: Square, Rectangle, Triangle, Pentagon, Quadrilateral
• Perimeter
• Recognizing/Drawing Lines of Symmetry: Triangle, Circle, Parallelogram, Rectangle, Ellipse, Square
• Drawing Lines of Symmetry
• Recognizing Vertices/Sides
• Spatial Views: Shape, Size, and Position