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Math Patterns from Rule Sets Worksheets

A mathematical pattern is just a series of values that in part or whole repeats. All definable patterns follow some set of guidelines or a strict rule set that indicates when and how to change from one piece of data to the next or in groups. The people that can create these patterns are many, but the people that can not only identify them, but make sense of them for other people are valuable assets for an organization. In the corporate world those people are Titans and often have very successful careers. In this series of worksheets and lessons we will work on not only writing patterns from scratch but identifying and interpreting those that are written by others.

Aligned Standard: Grade 5 Operations - 5.OA.3

  • 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.
  • Answer Keys - These are for all the unlocked materials above.

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.

How Do You Spot a Pattern in Data Sets?

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. If you look even further, you will quickly realize that there is a rule in here. It is a simple four sentence that flow in order and once they complete, they repeat.

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.

The real world is littered with patterns as well. We can often make sense of these through the use of math. Once we have identified and analyzed a pattern it can be used to make accurate predictions of future outcome. In math patterns are often presented to the reader without the help of any context. Most often we are given a string of seemingly random data and asked to make sense of it.

The best way to find patterns in data sets is simply air them out. What I mean by that is write them well spaced out. Then go back and identify any difference from one piece of data to the next. Once you analyze one string of the data, go back and see if there is a pattern to the string. If you have multiple strings, that makes it even easier. Remember the most important part is at the element level, take your time and state clearly what changes from one piece of data to the next.

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.

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