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In this lesson, we will discuss how to generate and identify numerical patterns and ordered pairs, and how to graph ordered pairs.
See the fact file below for more information on the numerical patterns or alternatively, you can download our 29-page Numerical Patterns worksheet pack to utilise within the classroom or home environment.
Key Facts & Information
- In this section, we will first tackle about relationships of numbers and basic numerical patterns.
- 2, 4, 6, 8, 10
- What can you say about the numbers listed above?
- Yes, they are even numbers.
- What else?
- Notice how if you add 2 to 2, you’ll get 4. Then, if you add 2 to 4, you’ll get 6. Then, adding 2 to 6 will give you 8 and adding 2 to 8 will give you 10.
- That is an example of a basic numerical relationship.
- Notice how we always have 2 variables: the number or variable we are looking at and the number or variable we will get or is trying to get.
- 2, 4, 6, 8, 10
- Now, we can establish the pattern.
- Y = X + 2
- Note that once we get the Y value which is 4, the arrow moves. Our new X would be equal to 2 and the new Y would then be 6.
- Another way to express number patterns is by using tables.
- What do you think is the pattern (or the relationship between X and Y)?
- It seems complicated, doesn’t it?
- The best way to identify the pattern is to first identify the possible operations (addition, subtraction, multiplication, division).
- Notice how the numbers in the Y column are all larger than the numbers in the X column.
- We can therefore say that the possible operations are addition and multiplication.
- Now, we also have to understand that the pattern is consistent per row.
- Let us now look at the Y column.
- Notice that the difference between 11 and 14 is 3, and the difference between 14 and 17 is also 3.
- We can therefore assume that one of the numbers involved in the pattern is 3.
- Now, let us find out the relationship per row.
- Given 1 as X, how could we get 11 as Y? There are many possibilities, one of which is to add 10 to 1. But notice how that would not make sense for the next row.
- Then, we can go back to the number we guessed a while ago, which is the number 3.
- If we multiply all the numbers under X by 3, we will get 3, 6, and 9.
- Now, given these new numbers, can we find a relationship between them and the numbers under Y?
- Yes, we can. If we add 8 to 3, we will get 11. If we add 8 to 6, we will get 14. And if we add 8 to 9, we will get 17.
- From those, we can therefore conclude that the pattern is:
- Y = 3X + 8
- In this section, since we have already established relationships between numbers and patterns, we will try to understand ordered pairs.
- ORDERED PAIRS – Two numbers written in certain order.
- Ordered pairs are written as (x,y).
- Now, let’s use the table from the previous section.
- We now have 3 ordered pairs: (1, 11), (2, 14), and (3, 17).
- An ordered pair contains the coordinates of a point in the coordinate system.
- There are two axes in the Cartesian coordinate plane, the X and Y axis.
- The X axis is determined by the horizontal line. The number describing this axis says how far along the point is.
- The Y axis is determined by the vertical line. The number describing this axis says how far up the point is.
- How do we plot coordinates?
- Let us first plot (1,11). Remember that we have to look at the horizontal line (x-axis) for the first number and at the vertical line (y-axis) for the second number.
- From 0, since we have 1 as our first number, we will move one step to the right.
- From 0, since we have 11 as our second number, we will move 11 steps upward.
- The red point is at the (1,11) coordinate.
- Now, let us plot (2,14).
- Like what we did for (1,11), we will look at (2,14) the same way.
- We will move 2 steps to the right and 14 steps upward.
- The blue point is at the (2,14) coordinate.
Numerical Patterns Worksheets
This is a fantastic bundle which includes everything you need to know about the numerical patterns across 21 in-depth pages. These are ready-to-use Numerical Patterns worksheets that are perfect for teaching students about the numerical patterns and ordered pairs, and how to graph ordered pairs.
Complete List Of Included Worksheets
- Lesson Plan
- Numerical Patterns
- What Do You Think?
- Find Y
- Fill It
- Plot Them All
- What Shape?
- Your Own
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Link will appear as Numerical Patterns Facts & Worksheets: https://kidskonnect.com - KidsKonnect, July 3, 2020
Use With Any Curriculum
These worksheets have been specifically designed for use with any international curriculum. You can use these worksheets as-is, or edit them using Google Slides to make them more specific to your own student ability levels and curriculum standards.