1. Misconceptions
1.1. The value a digit represents when regrouping or renaming
1.2. Treating each digit individually, rather than recognizing multi-digit numbers
1.3. Zero
1.3.1. Students need to recognize 0 as a label for an empty set
2. Future Topics
2.1. Comparing Numbers
2.2. Rounding Numbers
2.3. Regrouping
2.4. Operations
2.4.1. Addition
2.4.2. Subtraction
2.4.3. Multiplication
2.4.4. Division
2.5. Factors
2.6. Fractions and Decimals
3. Key Terms
3.1. Place Value
3.1.1. Digit
3.1.1.1. A symbol that represents a number
3.1.2. Value
3.1.2.1. How much a digit is worth
3.1.2.1.1. Ones, Tens, Hundreds, Thousands, Ten Thousands, Hundred Thousands, etc...
4. Prior Knowledge
4.1. What is a number
4.1.1. Number recognition
4.1.2. Value of cardinal digits (0-9)
4.1.3. Base-10 structure
4.2. Ways to write a number
4.2.1. Standard Form
4.2.2. Word Form
4.2.3. Expanded Form
4.3. Position of Digits
4.3.1. The place or position of a number shows the value it represents
4.3.1.1. Partitioning
4.3.1.1.1. Separating out numbers so that each value can be seen (prerequisit to addition and subtraction)
4.3.1.1.2. Quantity Value - Being able to partition numbers
4.3.1.1.3. Column Value - needed for formal calculations