## Generating Math Patterns From Rules

#### Aligned To Common Core Standard:

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

**How do you spot a math pattern in data?** -
Most of you must have heard the story of the itsy-bitsy spider that went up the waterspout. When the rain came, it washed the spider out. Out came the sun, and the rain was all dried, and the itsy-bitsy spider went up the spout. This song is the perfect personification of a mathematical pattern. The song has a pattern that indicates actions being repeated again and again.
You can easily spot math patterns in any data if there truly is a pattern to be identified. Some of the factors that can help you identify patterns are actions, shapes, color, or some other kind of pattern. These factors or variables repeat themselves – everywhere.
Think of any song you have heard or a game that you have played in the past or even your daily life routine. The lyrics in a song, press of a button during a game boss fight, and the things you do on a daily basis, everything has a pattern. Even the grocery store near you has a particular pattern of keeping things on the shelf.

### Printable Worksheets And Lessons

- Math Rule Tables Step-by-step
Lesson- This is the real start of algebra. Replace the variables
with the numbers.

- Guided Lesson - Read
a graph and see how it relates to math rules. Find coordinates and
see which rule matches up with the graph.

- Guided Lesson Explanation
- I use visuals (a graph) to explain the first one, I hope you're
a quick learner to grab and understand the two problems.

- Practice Worksheet -
Five rule tables to complete and name the shape at the coordinates
that are given.

- Matching Worksheet - Replace a variable and find the one that has the matching answer.

#### Homework Sheets

I made sure that a nice solid example is provided for you. They are 2 operations mostly.

- Homework 1 - Evaluate each of the math rule systems.
- Homework 2 - Which shape is at (2, 2)?
- Homework 3 - Study the graph and see at which point 1 lies on y axis. The 1 lies on '5' on x axis. The blank would then be filled with an 5.

#### Practice Worksheets

These are two-sided problems. See if you can pass through them with ease.

- Practice 1 - Solve the systems for functions such as: Function: d = 8c + 10
- Practice 2 - Which shape is at (6, 5)?
- Practice 3 - Use the graph to complete input output table.

#### Math Skill Quizzes

You are given a fixed variable. We would refer to these as plug and chug problems. Not sure if that is politically correct nowadays though.

- Quiz 1 - Solve by assuming b = 9
- Quiz 2 - Locate the shape in each case.
- Quiz 3 - A mixed review of all the skills found here.