Detailed Course Information

Numbers and Number Theory

• Definition of a Set
• Set Notation
• Recognizing a Set
• Members or Elements of a Set
• The Empty Set
• Equal Sets
• Equivalent and Nonequivalent Sets
• Union of Sets
• Symbol for Union of Sets
• Counting the Elements in a Set
• Matching Numbers to Objects (sets)
• Addition as a Parallel Operation to Union of Sets
• Union of Sets to Model Real World Situations
• Difference of Sets: Taking Things Away
• Comparing Sets; Same, More, Fewer
• Ordering Whole Numbers; Before, After and Between
• Numbers in Sequence
• Concept of Zero
• Addition of Two and Three Numbers
• Counting Whole Numbers
• Counting, 1 - 50
• Counting, 51 - 100
• Counting by Twos, 2 - 20
• Counting by Threes, Fours, and Fives
• Counting by Tens, 10 - 100
• Counting in Sequence
• Counting Backwards
• Naming and Identifying Numbers with Ordinal Number Names
• Place Value
• Exploring Tens and Ones
• Addition and Place Value
• Subtraction and Place Value
• Two-Digit Addition, Sums to Ninety

• Recognizing the Cent Sign
• Equivalent Value of Coins
• Identifying Penny, Nickel, and Dime
• Counting, Matching, and Choosing Money
• Solving Money Problems Using Penny, Nickel, and
• Dime to Buy Given Objects

• Telling Time to the Nearest Hour
• Identifying the Correct Clock
• Identifying the Correct Time
• Measurement in Inches and Feet
• Addition and Subtraction
• Exploring Addition
• Using Concrete Models
• Using Pictorial Models
• Basic Addition Facts
• Basic Subtraction Facts
• Addition with Numerals Only
• Addition with Sets and Numerals
• Addition with Sets Only
• Subtraction with Numerals Only
• Subtraction with Sets and Numerals
• Subtraction with Sets Only
• Vertical Addition
• Horizontal Addition
• Vertical Subtraction
• Horizontal Subtraction
• Missing Addends
• Using a Number Sentence
• Introduction to Variables in Equations, Mixed Positions, Sums to Nine
• Writing Addition and Subtraction Equations
• Pairs of Addition and Subtraction Equations
• Operations on Both Sides of an Equation
• Addition, Set Notation for Numbers
• Subtraction, Set Notation for Numbers
• Mental Arithmetic

• Parts of Whole Objects and Sets of Objects
• Exploring Equal Parts
• Halves, Thirds, Fourths
• Pictorial Models
• Fractional Notation
• Numerator, Denominator

• Familiar Shapes
• Triangles
• Circles
• Squares
• Rectangles
• Inside and Outside
• Same Shape and Size
• Same Shape but Different Size
• Perimeter
• Drawing Figures
• Selecting Points to Draw Segments
• Measurement of Line Segments