1. Week 1 Problem Solving
1.1. Place Values, origin of decimal system
1.2. Meaning of addition, subtraction, multiplication, and division
1.3. whole number in context of our decimal place
1.4. Problem solving
2. Week 2 Numeration Systems
2.1. Base 10
2.2. Different Bases
2.3. Expanded Notation
3. Week 3 Whole number operations addition and subtraction
3.1. Addition
3.1.1. Properties
3.1.1.1. Associative
3.1.1.2. Identity
3.1.1.3. Communitivie
3.1.2. Algorithms
3.1.2.1. Standard American Algorithm
3.1.2.2. Partial Sums
3.1.2.3. Partial Sums with emphasis on place values
3.1.2.4. Left to Right
3.1.2.5. Expanded form
3.1.2.6. Lattice
3.2. Subtraction
3.2.1. Algorithms
3.2.1.1. American Standard
3.2.1.2. European - Mexican
3.2.1.3. Expanded Notation
3.2.1.4. Left to right
3.2.1.5. Reverse Indian
3.2.1.6. Integer Subtraction
4. Week 4 Whole numbers multiplication & division
4.1. Mulitiplication
4.1.1. Properties
4.1.1.1. Identity
4.1.1.2. zero property of multiplication
4.1.1.3. Distributive
4.1.1.4. Associative
4.1.1.5. Communitive
4.1.2. Algorithms
4.1.2.1. Standard
4.1.2.2. Expanded notation
4.1.2.3. Place Value
4.1.2.4. Lattice
4.2. Division
4.2.1. Algorithms
4.2.1.1. Standard
4.2.1.2. Standard algorithm w/emphasis on place value
4.2.1.3. alternate algorithm for divison
5. Week 5 Mental Strategies
5.1. Addition
5.1.1. Left to Right
5.1.2. Compensation
5.1.3. Compatible numbers
5.1.4. Breaking up and Bridging
5.2. Subtraction
5.2.1. Left to right
5.2.2. Breaking Up and Bridging
5.2.3. Compensation
5.2.4. Compatible Numbers
5.3. Multiplication
5.3.1. Compatible Numbers
5.3.2. Left to Right
5.4. Division
6. Week 6 Review/Test
7. Week 7 Divisibility
7.1. Important terminology
7.1.1. 10 is divisible by 5 or 5 divides 10
7.1.2. 5 is a divisor of 10
7.1.3. 5 is a factor of 10
7.1.4. 10 is a multiple of 5
7.2. Divisibility Rules
7.2.1. Ending
7.2.2. Sum of Digits
7.2.3. Other
7.2.4. Last Digits
7.2.5. Special numbers
7.3. Prime Numbers
7.3.1. composite
7.3.2. prime
7.3.3. special names
7.3.4. neither
8. Week 9 Fractions
8.1. Models
8.1.1. Surface area (region)
8.1.2. Length
8.1.3. Set of things