## Function and Chart Patterns

#### Aligned To Common Core Standard:

**Grade 5 Operations** - 5.OA.B.3

What Are Function and Chart Patterns?
In simplest definitions, a function in mathematics relates to an output and an input. It can be related to a machine that requires an input and provides you with output, where the output is somehow related to the input. In mathematics, f(x) is a function. It is a classic and age-old way of defining and writing a function in mathematics.
Other than f(x), other examples of writing functions are: x^{2} (squaring), x^{3} + 1, it is also a function
sine, cos, and tangent are examples of functions used in geometry.
On the other hand, chart patterns are regular patterns in mathematics used to show a consistent pattern of numbers. The patterns displayed in the form of a chart are commonly known as chart patterns. They feature varying patterns of shapes, numbers and objects. The pattern can be of any mathematical operation and can be represented in a form of series. Chart patterns helps students learn counting, assist in number recognition, adding and subtracting and even discovering number patterns.
Students learn how to identify and complete patterns that are based in a function or data chart.

### Printable Worksheets And Lessons

- Determining Math Input / Output Patterns Step-by-step Lesson- The overall goal is to find the difference and then apply it.
- Making Sense of Patterns Guided Lesson - We present you with all the different problem types here.
- Making Sense of Patterns Guided Lesson Explanation - This two pager allows you see your way all the problem types.
- Patterns In Tables Worksheet 1 - Find the rule followed by the chart pattern in each table.
- Math Patterns Independent Practice 1 - This is a different angle to see the patterns from.

#### Horizontal Input/Output Sheets

This is the format that you will see most problems for on tests.

- Homework 1 - Determine which rule best represents the expression used by the function machine.
- Homework 2 - Find the difference between the input and output values on the chart.
- Homework 3 - You can use any variable you wish to demonstrate the input. In this case we will use the variable x to display the input.

#### Practice Worksheets

You can shut off the all the color on these sheets by turning off "Background Printing". Just another option for you.

- Practice 2 - Circle the number sentence that best matches each function chart. Assume input is R.
- Practice 3 - Determine the difference between each input and output value.

#### Math Skill Quizzes

The first two quizzes are function charts and the last quiz is just a pattern rule.