#
Grade 3 Math Samples

## Non-Common Core

### Place Value Unit

#### Place Value Unit

The Place Value Unit involves understanding and representing the relative position, magnitude and relationships within the numeration system in order to answer questions such as:

- How can you use the additive property of place value (expanded notation) to decompose the number 54,321?
*(50,000 + 4,000 + 300 + 20 + 1)*

- How can you use the base ten property of place value to explain the relationship between each of the digits in the number 55,555?
*(Each number is worth 10 times the number to its right and one-tenth the number to its left.)*

- How can you use the multiplicative property of place value to describe the meaning of each digit in the number 54,321?
*(Since the 4 is in the thousands place, multiplying the 4 times 1,000 gives the value of the 4 in the number.)*

- What other ways can you use ten thousands, thousands, hundreds, tens, and ones to represent a number without changing its value?
*(Methods might include using objects, pictorial models, and numbers, including non-standard partitioning of the number in a variety of ways.)*

## Common Core

### 3.OA.A.3

#### 3.OA.A.3

Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

## TEKS (for Texas)

### Multiplication Unit

#### Multiplication Unit

The Multiplication Unit involves identifying a variety of models to represent the process of multiplication in order to learn how to use it to solve problems. Questions to answer may include:

- How do multiplication situations differ from addition situations?

- How do equal-sized groups model multiplication situations in the world outside the classroom? What real-world examples of equal-sized groups can you think of?

- How do arrays and area models represent multiplication situations in the world outside the classroom? What real-world examples of arrays can you think of?

- Given a multiplication equation, how can you create a situation to match it?

TEKS standards covered: 3.4D, 3.4E, 3.4F, 3.4G