Detailed Course Information

Numbers and Number Theory

• Review of Sets
• Sets and Numbers
• Intersection of Sets
• Definition of Subset
• Sets as Subsets of Other Sets
• Equal Sets
• Introduction to Set Builder Notation
• Union and Difference of Sets Using Set Variables
• Finite and Infinite Sets
• Review of Place Value
• Ones/Tens/Hundreds/Thousands
• Pictorial Models
• Exploring Addition Using Sets as Models
• Exploring Multiplication Using Sets as Models
• Skip Counting by 2, 3, 4, 5, 10
• Counting Forward and Backward by 2, 3, 4, 5,10
• Counting Patterns
• Ordinal Numbers
• Ordering Months, Days of Week

• Defining and Naming Line Segments
• Constructing Segments, Triangles and Quadrilaterals
• Classifying Geometric Shapes
• Concave and Convex Shapes
• Vertex and Vertices
• Inside/Outside of a Figure
• Intersection of Segments and Shapes

• Review of Fractions
• Exploring Equal Parts
• Parts of Regions
• Fractional Part 1/2, 1/3, 1/4
• Fractional Part 2/3, 3/4
• Pictorial Models of Fractions
• Modeling Unit Fractions Less Than One by
• Selecting and Shading Halves, Thirds,
• Fourths, Tenths of Regions
• Comparing and Ordering Unit Fractional Pieces
• Fractional Portions of Figures
• Addition of Fractions

• Review of time, digital time
• Conversion from feet to inches
• Conversion from inches to feet
• Definition/abbreviation for one dozen

• Identifying and Counting Coins

• Coins and Bills
• Converting Money From Decimal to Dollar and Cent Form
• Converting Money From Dollars and Cents to Decimal Form
• Money Equivalencies; Adding Money

• Review of Basic Addition Facts
• Adding 1, 2, 3 Digit Numbers
• Addition with/without Regrouping
• Application of Addition to Word Problems with/without Regrouping
• Addition Equations with One or Two Variables
• Writing Equations Containing One or Two Variables From Word Problems
• Solving Word Problems Without Equations
• Review of Basic Subtraction Facts
• Subtract 1, 2, 3 Digit Numbers
• Relation of Subtraction Facts to Sets
• Mental Arithmetic
• Relationship Between Addition and Subtraction
• Horizontal and Column Addition and Subtraction
• Application of Subtraction to Word Problems
• Multiplication as Repeated Addition
• Multiplication Facts
• The Multiplication Table
• Multiplication and Word Problems
• Multiplication Equations, Mixed Position of the Variable
• Choosing the Correct Arithmetic Operation
• Addition, Subtraction, Multiplication
• Solving Pairs of Equations (One Addition, One Subtraction) Using Two Variables
• Writing Equations From Word Problems
• Solving Word Problems Given Too Much Information
• Solving Basic Inequalities Involving the < and > Symbol
• Area and Square Units