Detailed Course Information

Sets, Logic, Probability

• Definition of a Set; Set Operations; Set Description
• Word Problems Involving Set Descriptions
• Union of Sets/Intersection of Sets/Difference of Sets
• Word Problems Involving Set Operations
• Disjoint and Overlapping Sets
• Symbolic Language for Union and Intersection
• Roster Notation for Solutions to Set Operations
• Infinite and Finite Sets; Equal and Equivalent Sets
• Proper Subsets
• Inferences in Informal Language; About Numbers
• Inferences from a Pair of Sentences: Using Complex Premise, Using a Negative Premise
• Definition of Atomic and Molecular Sentences; Conduction and Disjunction; Conditional Sentences; Denial; Premise and Conclusions
• Application of “If – Then” Rule

• Addition with Regrouping: Pictorial Models
• Subtraction with Regrouping: Pictorial Models
• Introduction of Factors and Products
• Determining the Missing Factor
• Division by One
• Division as the Inverse Operation of Multiplication
• Using the Operation of Multiplication to Check Division
• Solving Division Equations of the Form ax=b
• Rewriting Word Problems as Division Equations
• Introduction to the Use of Parentheses
• Distributive Law for Multiplication over Addition
• Determining Products Using the Distributive Law
• The Multiplication Table
• Multiply 1Digit Times 2, 3 Digit Numbers
• Distributive Law for Division over Multiplication
• Selecting the Appropriate Reasons for Statements in a Proof
• More on Place Value and Reading Numerals
• Ones /Tens/ Hundreds/ Thousands/ Ten
• Thousands/ Hundred Thousands/ Millions
• Word Problems Involving Large Numerals
• Division with Remainder; Estimation in Division
• The Number Line; Positive / Negative Numbers
• Addition of Positive and Negative Numbers
• Using the Number Line and in Word Problems
• Comparing Positive and Negative Numbers
• Less Than/Greater Than
• Division by: Multiples of 10; 1, 2 Digit into 3, 4 Digit with/without Remainder
• Choosing the Correct Operation
• Commutative and Associative Law for Addition
• Subtraction is Neither Associative nor Commutative

• Temperature: Pictorial Models; Celsius/Fahrenheit
• Liquid Measure Units, customary: Teaspoon, Tablespoon, Ounce, Cup, Pint, Quart, Gallon
• Liquid Measure Equivalencies and Conversions
• Weight Measure Units, customary: Ounce, Pound, Hundredweight, Ton
• Weight Measure Equivalencies and Conversions
• Linear Measure Equivalencies
• Money Exchanges: Nickels, Dimes, Quarters, Half Dollars
• Time Zones; Word Problems with 24 Hour Clock
• Conversions from 24 Hour to 12 Hour Time
• Measurement as an Approximation and Rounding
• Drawing to Scale; Perimeter and Area
• Introduction to the Metric System: Kilometer, Meter, Decimeter, Centimeter, Millimeter
• Comparing Metric Units and Metric Conversions
• The Coordinate System; Horizontal and Vertical Axes
• Origin and Ordered Pairs; locating Ordered Pairs
• Plotting Points on a Coordinate System
• Bar Graphs

• Definition of Points, Lines, Segments, Rays
• Definition and Naming of Angles and Vertices
• Definition of Congruent Angles; Right Angles
• Definition of Interior Angles of a Rectangle
• Lines of Symmetry: Circle, Ellipse, and Triangle
• Definition of Scalene Triangle
• Geometric Constructions
• Perpendicular line segments and bisectors; Parallel Lines
• Prisms: Rectangular, Triangular, Pentagonal, Hexagonal
• Pyramids: Rectangular, Triangular, Pentagonal, Hexagonal
• Definition of Plane and Space Figures
• Definition of Chord and Diameters of Circles
• Concave and Convex Space Figures
• Definition of Volume

• Equivalent Fractions
• Pictorial Models/Representation on the Number Line
• Addition/Subtraction: Fractions with Number Line
• Addition/Subtraction: Fractions with Like Denominators
• Comparing Fractions: Like and Unlike Denominators
• Addition of Whole Numbers and Fractions
• Pictorial Models and Using Number Line
• Expressing Fractions as Mixed Numbers
• Addition and Subtraction of Mixed Numbers
• Fractional Parts of Sets of Objects
• Proper and Improper Fractions
• Fractions that Equal Whole Numbers
• Multiplication and Division of Fractions