Place Value

1. Positional Property

1.1. A place value chart is an essential tool that can help students visualize the position of each digit in a number

1.2. Place value columns have names

1.2.1. Ones, tens, hundreds and so on.

1.3. A digit's value is the digit multiplied by the value of its place

1.4. A digit is a symbol that is used for positional notation

2. Partitioning

2.1. Numbers can be partitioned in fmultiple ways

2.1.1. Standard-When a number partitioned by place value can be represented in a number of ways, such as base ten, part-whole models and bar models

2.1.2. Flexible Partitioning- breaks the numbers down in different ways using known number and multiple facts.

2.2. It supports students by breaking down big numbers into more manageable numbers to help them be more confident in the addition of larger numbers before they move on to column addition

3. Comparing and Ordering Numbers

3.1. Ordering a list of numbers means stating the numbers from the least to the greatest or from the greatest to the least.

3.2. Comparing” in math is the process in which we observe similar properties of different persons or objects or things

4. Patterns

4.1. Our place value system is based on a pattern of tens

4.2. Patterns help us build other numbers

4.3. Numbers are arranged into groups of three called periods

4.4. Each place value increases ten times the value of the place to its right)

5. Big Ideas

5.1. Equivalence

5.1.1. Numbers can be named in equivalent ways using place value For example 3 hundreds 5 tens is equivalent to 35 tens (Charles, 2005)

5.2. Base Ten Property

5.2.1. Each place value to the left of another is ten times greater than the one to the right for example: 100 = 10 x 10 (Charles, 2005).