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Arithmetic Patterns and Systems

Answer Keys Here

Aligned To Common Core Standard:

Grade 3 Operations - 3.OA.9

How to Identify Arithmetic Patterns or Systems In Data Sets? Number pattern is a sequence or series of numbers where two consecutive numbers are linked through a mathematical relationship. In numbers and sequencing, the arithmetic patterns and systems are the simplest forms. It is a pattern that is formed using simple addition and subtraction. There is a common difference, "d" between two consecutive numbers in an arithmetic pattern. Identifying an arithmetic pattern within a data set can get tricky, but these simple tools can make it very simple and easy. Hundreds Chart - The hundreds chart comprises of 10 rows and 10 columns and counts from 1 to 100. The chart helps in finding out the common difference between two consecutive terms of a pattern. You can use the chart vertically, horizontally, and even diagonally to identify patterns. Addition Chart- The addition chart is another very helpful tool to identify arithmetic patterns in a data set. There are three principles of addition that we can clearly see in an addition chart are; - The sum of two even numbers is always even - The sum of two odd numbers is always even - The sum of an odd and an even number is always odd Number Line- The number line is the last and a very useful tool in identifying number patterns. It uses "terms" and not common differences to identify a pattern in a data set. Students learn how to find patterns in data through the help of these worksheets.

Printable Worksheets And Lessons

Homework Sheets

The first set requires you to explain the pattern and the second is looking for the outcomes.

  • Homework 1- Explain the rule to the patterns below.
  • Homework 2- Debby practices her free throws. Every day she takes 20 shots from the foul line. The table below shows how many shots she made.
  • Homework 3- Complete missing segments of the input/output charts.

Practice Worksheets

We mix in the input/output charts. We get a lot of requests for those.

  • Practice 1- Based on the rule that is provided; write the next 4 numbers in the pattern.
  • Practice 2- Write the next 3 numbers of the pattern and state the rule.
  • Practice 3- For each pattern below describe the rule in place.

Math Skill Quizzes

The quizzes will look for you to determine the patterned rule among other things.

  • Quiz 1- Complete the input/output charts based on the rules.
  • Quiz 2- Fill in the missing numbers and name the rule for each pattern.