Good Morning Learners and welcome back to our Third Term. In today's lesson we will be focusing on the new topic which is Linear number patterns. Watch the 3:49 minutes video below on how to solve a linear number pattern in a sequence, please pay attention. After you have watched the video you are expected to understand the terminology and solve a linear number pattern.

"Mathematics is the most beautiful and most powerful creation of the human spirit."Stefan Banach, Polish mathematician

THANK YOU :)

Task

Before completing the task go to PROCESS for recap. Please answer the following questions based on the explanation that was made on the video that you have already watched. Please go through the assessment and marks are allocated and the questions are made clear.

"Work and you’ll get what you need; work harder and you’ll get what you want." - Prabakaran Thirumalai

TASK 8

DATE : 02 SEPTEMBER 2021 MARKS : 13

Question 1

1. Consider the linear sequence: 5; 8; 11; b; 17;...

1.1 Write down the value of b. (2)

1.2 Determine the nth term of the sequence. Tn=pn + q (2)

1.3 Calculate the value of the 15th term of the sequence. (2)

1.4 Which term in the sequence is equal to 83? (2)

In order to solve question 2.2, first watch the video below for recap and answer the question once you are done.

Question 2

2. Consider the number pattern below created by using the numbers of the sequence 2; 6; 10; 14; 18; ...

2

6 10

14 18 22

26 30 34 38

42 .... .... .... ....

2.1 Calculate the SUM of the numbers on the 8th row. (3)
2.2 Determine the mean of the numbers in the 20th row (2)

WELL DONE!!

Process

Since number pattern sequence was done on the previous grade which is Grade 9, watch the video below to recap the steps on how number sequences are generated before going through the examples below

Number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers.

For example:

0, 5, 10, 15, 20, 25, ...

Here, we get the numbers in the pattern by skip counting by 5. Given are the steps to identify a number pattern.

To solve the problems of number pattern, we need first to find the rule being followed in the pattern.

To find out the rule, we need to see the first few numbers in the series.

Try to see the difference between consecutive numbers, it will help us understand the relationship between the numbers.

Example 1:

· 11, 17, 23, 29, 35, 41, 47, 53

In this pattern, we see that every term in the sequence has grown or increased by 6 or the difference between any two consecutive numbers is 6. So, we can get the next term by adding 6 to the previous term.

Example 2:

· 18, 15, 12, 9, 6, 3

In this number pattern, we can see that every term in the sequence has reduced by 3 or 3 has been subtracted from every number compared to its previous one. So, we can subtract 3 from the previous term to get the next term.

In the above two examples, the number pattern is formed by a common difference in all its terms.

Patterns with dots

Some problems for the pattern can also involve a pattern of dots, where we need to find out the number and position of the dots in the pattern.

For example:

RESOURCES

Use the following links below for additional knowledge and understanding of the concept. Some are previous years question papers with memorandum.

Mark Allocation for the given task. The marks are allocated based on the question as shown.

Question 1

Mark allocation

Q1.1

x2 answer (2)

Q1.2

x1 p value

x1 q value (2)

Q1.3

x1 substitute

x1 answer (2)

Q1.4

x1 Tn

x1 answer (2)

Question 2

Mark allocation

Q1.1

x1 general term

x1 substitute

x1 answer (3)

Q1.2

x1 substitute

x1 answer (2)

TOTAL MARKS : 13

Conclusion

Learners, it is important to understand the lesson and ask if you have questions. Marks allocation for the task are posted on the EVALUATION page so that you can check your work carefully before you submit. I have listed my email and consultation hours on the teachers page. Number patterns on the end-year paper contains 15% of the paper. Prepare yourself. I have shared with previous question papers in order to prepare yourselves when final examination has arrived. The due date for the task 8 is 07 SEPTEMBER 2021 23:59. . Watch the video below for further rules in number patterns

“If you work hard enough and assert yourself, and use your mind and imagination, you can shape the world to your desires.” – Malcolm Gladwell, author.

Credits

ADDITIONAL VIDEOS

Teacher Page

If you have any questions regarding to the task or further explanation, don't hesitate to contact me on the following details

For face to face consultation, I will be in my class during the following hours, please follow COVID-19 safety precautions, NO MASK, NO ENTRY and sanitize before entering the venue

Room number : 1.68

Time : 10:00- 13:00

From Monday to Thursday

"Curiosity has its own reason for existence" - Albert Einstein