Introduction
A numeric number pattern is a sequence of numbers that follow a specific pattern. An example of a numeric pattern is one where there is a constant difference between consecutive terms. In other words, the same number would be added to or subtracted from each consecutive term.
A geometric number pattern is formed with shapes or diagrams.
Remember:
In grade 7 you learnt that a numeric pattern is known as a sequence and that the numbers of the sequence are determined by a certain rule. You also learnt that the numbers of a sequence are called the terms of the sequence.
Task
Complete the activities below:
Activity 1:
Study the table and answer the questions that follow:
| Term number | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| Term value | 4 | 7 | 10 | 13 |
1.1 Give the value of the first term.
1.2 Determine the constant difference.
1.3 Determine the general Term. (Tn)
1.4 Determine the 15th term.
1.5 Which term will be equal to 70?
Activity 2:
Determine the next TWO terms and the general Term (Tn) for each of the following sequences:
2.1 31; 41; 51; ......
2.2 18; 27; 36 ......
2.3 0,3; 0,5; 0,7 ......
2.4 84; 72; 60; 48; ......
2.5 -7; -5; -3; -1; ......
* Watch this video to assist with Activities.
Process
When completing your activity, make sure you do the following:
Step 1
- Read each question carefully.
- Refer to practice examples in your textbook. (pages 46-49)
Step 2
- Watch video
Step 3
- Complete your activity and double-check your work.
- Scan your answers and submit them to the provided email adress.
- Make sure it includes your name, surname, and grade.
Email address: 218252765balierc@gmail.com
Evaluation
When completing the activity pay attention to the mark allocation for each question.
| Activity 1 | (mark allocation) |
|---|---|
| 1.1 | [1] |
| 1.2 | [3] |
| 1.3 | [4] |
| 1.4 | [2] |
| 1.5 | [4] |
| Activity | ( mark allocation) |
|---|---|
| 2.1 | [6] |
| 2.2 | [6] |
| 2.3 | [6] |
| 2.4 | [6] |
| 2.5 | [6] |
*This work will also be part of your summative assessment at the end of the term.
The memorandum will be provided after submission. Please make corrections where needed.
Conclusion
We covered number patterns.
Important to remember:
You can describe a pattern in different ways, for example:
- using words, "add 3 to the previous term"
- using words and numbers, " 3 x the position of the term + 1."
- using an expression, "3 x n + 1, where n is the position of the term or a natural number."
Credits
Mathematics Today: Grade 8 ( Learners book)
Maths Handbook and Study Guide: Grade 8
Teacher Page
This lesson was developed to assist learners with the topic of number patterns as most learners struggle with number patterns because of their lack of reading with understanding, especially when we combine numbers and letters in word problems.
The aim is that learners will be more confident when doing similar types of problems.
The level of difficulty of the question was not really as important as the comprehension. So once learners grasp this we can now move on to more complex questions.