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Table of Contents
Much like shapes, numbers can have patterns too! When dealing with number patterns, there are two possible scenarios, with a stated rule or without a stated rule. All number patterns have rules. However, some may not directly state the rule.
See the fact file below for more information on the number patterns or alternatively, you can download our 17-page Operations & Algebraic Thinking: Number Patterns CCSS 4.OA.5 worksheet pack to utilise within the classroom or home environment.
Key Facts & Information
LEARNING OBJECTIVE:
- At the end of the lesson, students will be able to generate a number or shape pattern that follows a given rule, as well as identify apparent features of the pattern that were not explicit in the rule itself.
A NOTE FOR THE TEACHER:
- When teaching Number Patterns, keep in mind the following:
- Remind the student now and then of factors in Multiplication.
- When dealing with Number Patterns, it is best to visually demonstrate the equations.
- Try to incorporate as many visual aids as possible.
THEORY:
- Much like shapes, numbers can have patterns too! When dealing with number patterns, there are two possible scenarios, with a stated rule or without a stated rule. All number patterns have rules. However, some may not directly state the rule.
- Essentially, a rule is the explicit statement of the pattern for the series. A rule can sound something like, “Add 5 per number, while starting at 6, until you reach 31”. With that, the pattern that we would generate is 6, 11, 16, 21, 26, 31.
- We can see how a rule works like every other rule in everyday life; it is something that needs to be followed.
- As we can see, if the number pattern has a stated rule, it is very easy to generate the next number / missing number in the pattern.
- When facing patterns without a stated rule, we need to rely more on our critical thinking. Usually, in this type of scenario, all other numbers are given except one, and it is up to us to generate the one missing number. An easy way to solve this is to look at the existing numbers.
- We can look at how much is in between each number to deduce what the missing number in the pattern may be. After determining a possible missing number, we can test out the possible number to see if it matches with the other numbers.
- For example, given the patterns 1, 3, 5, x, 9, 11. Let us take a look at the available numbers we have and choose 2. For this example, let us take a look at numbers 1 and 3. We can see that there is a difference of 2 between those two numbers. Given that, let us now test our possible number (2) with the other numbers in the pattern to see if our possible number fits the unstated rule.
- If we look at the numbers 9 and 11, we can see that the difference is once again 2; thus, we can say that the number 2 satisfies the unstated rule. We can now get the missing number by adding 2 to the previous number, which is 5. Our missing number, is therefore, 7.
Operations & Algebraic Thinking: Number Patterns CCSS 4.OA.5 Worksheets
This is a fantastic bundle that includes everything you need to know about Operations & Algebraic Thinking: Number Patterns across 17 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 4.OA.5 for Operations & Algebraic Thinking: Number Patterns.
Table of contents:
- A lesson plan
- Warm-up activity
- Math theory explained
- Assisted learning activities
- Independent learning activities
- Extension activities and games
- Answer keys
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