Detailed Course Information

Sets, Logic, Probability

• Using the "If-then" Rule
• Using the "If-then-not" Rule
• Antecedent or Consequent of a Conditional Sentence and Denial of a Sentence Whose Connective is "Not"
• Rules of Adjunction and Simplification
• Inferences about Disjunctions – The "Or" Rule
• Probabilities of Symmetrical and Asymmetrical Spinners
• Probability of Outcomes and Events
• Probability of Extended Outcomes and Events
• Intersection or Union of Two Events is also an Event
• Describing Intersections of Events as Operations on Sets
• Describing Unions of Events as Operations on Sets
• Probability of an Event that is an Intersection of Two Events
• Probability of an Event that is an Union of Two Events
• Using Diagrams to Show Operations on Sets
• Using Diagrams to Show Operation on More than two Sets

• Multiplication is Commutative and Associative
• Division is not Associative
• Distributive Law for Multiplication and Division
• Identity Element in Addition and Subtraction
• Identity Element in Multiplication and Division
• Giving Reason for Each Equation by Law
• Multiplication Using the Distributive Law
• Multiplication of a Single Digit and a 3 or 4 Digit Number
• Multiplication of Single Digit and 2 Digit Number, Shortened Notation
• Multiplication of a 2 Digit Number by a 2 Digit Number
• Multiplication of a 2 Digit by a 3 Digit Number, Shortened Notation
• Multiplication with Money, Word Problems
• Multiplication (3 Digit by 3 Digit, 3 digit by 4 Digit, 4 Digit by 4 Digit)
• Division as Inverse of Multiplication
• Multiplication Tables are also Division Tables
• Estimation and Division
• Word Problems involving Division
• Multiples
• Finding Factors
• Prime Numbers and Factors
• Multiplying Multiples of Ten
• Multiplying Multiples of Ten by Multiples of Ten
• Dividing by Multiples of Ten
• Multiplying Tens and Hundreds
• Division of Tens and Hundreds
• Estimating to the Nearest Multiple of Ten
• Checking Division with Multiplication

• Expressing Improper Fractions as Whole or Mixed Numbers
• Renaming Fractions
• Equal Fractions
• Multiplying Fractions
• Common Multiples
• Finding the Least Common Multiple
• Least Common Denominator in Adding and Subtracting Finding the Least Common Denominator and Rewriting Fractions
• Addition and Subtraction with Unlike Denominators
• Addition and Subtraction of Fractions, Column Form
• Whole Numbers, Fractions, Mixed Numbers on a Number Line with Addition
• Addition of Fractions with Unlike Denominators or Mixed Numbers
• Addition of Mixed Numbers, Like Fractions
• Denominators
• Reducing Fractions
• Subtraction of Mixed Numbers
• Subtraction of Mixed Numbers with Unlike Denominators
• Subtraction of Mixed Numbers with Borrowing
• Multiplying a Fraction by a Whole Number
• Distributive Law for Multiplying a Mixed Number by a Whole Number
• Operations on Fractions and Mixed Numbers
• Introduction to Multiplicative Inverse
• Division of Fractions
• Dividing Fractions and Whole Numbers by Fractions
• Multiplying and Dividing Mixed Numbers by Fractions and Decimal Fractions
• Converting Decimals to Fractions
• Finding Decimals on the Number Line, Patterns of Decimal Numbers
• Addition and Subtraction of Fractions and Decimals
• Using Decimals to Name More Place Values
• Expressing Decimals as Addition of Fractions
• Addition of Decimals
• Addition of Fractions and Addition of Decimals, Column Form
• Expressing Improper Fractions as Mixed Numbers and Subtraction of Decimal Fractions
• Addition and Subtraction of More than Two Places
• Expressing Fractions as Decimals
• Money and Decimals

• Writing a Mathematical Sentence to Correspond to an English Sentence
• Omitting the Multiplication Sign in an Expression
• Expressing English Sentences as Mathematical Sentences
• Simplifying Expressions Using the Distributive Law
• Simplifying Expressions and Word Problems
• Introduction of the Metric System: Kilometers, Decimeters, Meters, Centimeters, Millimeters
• Metric Conversion
• Ordered Pairs and Rules
• Rule for Finding the Second Member of an Ordered Pair
• Finding the Rule by Looking at the Set of Ordered Pairs
• Definition of a Function
• Graphs of Sets of Ordered Pairs
• Making a Table of Ordered Pairs

• Describing Geometric Figures as the Union of Line Segments
• Definition of a Plane
• Base and Height of a Triangle
• Area of a Triangle
• Area of Triangular and Rectangular Regions
• Definition of an Octagon and Comparison of Areas of square, circle, pentagon and octagon
• Average of Measurement
• Introduction to Ratios in Geometry
• Symmetry, Convex, and Concave 2D Figures
• Lines of Symmetry
• Plane Intersecting an Object
• Examples of Planes Cutting Objects
• Planes of Symmetry
• Definition of Axis of Symmetry
• Line is Axis of Symmetry then Plane Perpendicular to the Line Always Intersects the Figure in a Circle
• Naming Angles
• Congruent Angles
• Measuring Angles to the Nearest Degree
• Face Up and Face Down Positions
• Flips
• Rotations