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Generating Math Patterns From Rules

5.OA.3
Answer Keys Here

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.