G8. CLS8_9.1-9.2 : Sequences and functions

Warming Up Activity (WUA)

Introduction to sequences

​Ms. Fatmawati, S.Si., M.Ed., Gr.

Open Ended

Describe the rule of the following sequence...

0, 13, 26, 39, ...

Multiple Choice

The next term in the sequence 0, 13, 26, 39, ...

• 39
• 65
• 52
• 78

Open Ended

Describe the rule of the following sequence...

1.0, 1.3, 1.6, 1.9, ...

Multiple Choice

The next THREE terms in the sequence 1.0, 1.3, 1.6, 1.9 are ...

• 2.2, 2.5, 2.8
• 1.2, 1.5, 1.8
• 1.5, 1.8, 2.1
• 2.0, 2.3, 2.6

Lower Secondary Mathematics
Chapter 9:
Sequences and functions

​Ms. Fatmawati, S.Si., M.Ed., Gr.

9.1 Generating sequences

9.1 Generating sequences

Sequences Vocabulary

• Sequence - an ordered list of numbers -

• Term - each number in a sequence arithmetic sequence - each term is found by adding the same number to the previous term.

Pair Work

​https://bit.ly/pairwork01

Multiple Choice

0.3, 0.9, 1.2, 1.5, ...

A pattern of numbers like this is called:

• sequence

• session

• sentence

Multiple Choice

The term-to-term rule of a sequence is

divide by 2 and then add 3.

The first term is 8.

Which if these numbers is not a term in this sequence?

• 7.5

• 7

• 6.5

Math Response

Enter the next term in this sequence.

25, 26.5, 28, 29.5,

Type answer here

Correct Answer: 31

Deg^°

Rad

Math Response

The first term in a sequence is 3.

Each term is 0.5 less than the one before.

What would be the second term?

Type answer here

Correct Answer: 2.5

Deg^°

Rad

Multiple Choice

The term-to-term rule of a sequence is

multiply by 3 and then subtract 4.

The first term is 3. What would be the next two terms?

• 5, 11
• 6, 14
• 4, 10
• 2, 8

Multiple Choice

Enter numbers to complete the missing terms of this sequence.

• 1

• 2

• 3

• 4

Multiple Choice

Find the first two terms of the sequence

• 5.2, 12.6
• 8.9, 15.3
• 11.1, 18.5
• 6,9, 10.3, 23.7

Fill in the Blanks

​

,​

24, 23.6,​

, ​

, 22.4

Multiple Choice

Write the first three terms of each of these sequences.

first term is 8

term-to-term rule is: multiply by 2 then subtract 5

• [8, 9, 14]
• [8, 12, 20]
• [8, 10, 15]
• [8, 11, 17]

Multiple Choice

Write the first three terms of each of these sequences.

The first term is 15, term-to-term rule is: subtract 9 then multiply by 3

• [15, 6, 18]
• [15, 12, 36]
• [15, 24, 72]
• [15, 18, 54]

Multiple Choice

Write the first three terms of each of these sequences.

The first term is 12, term-to-term rule is: divide by 2 then add 5

• 12, 10, 8
• 12, 11, 10.5
• 12, 13, 14
• 12, 9, 7.5

Multiple Choice

The first three terms of a sequence are 8, 10, 14, …

Find the correct term-to-term rule

• multiply by 3 then subtract 14

• divide by 2 then add 6

• subtract 3 then multiply by 2

• subtract 2 then multiply by 3

Conclusion

Surely, Now i can ....

• generate increasing and decreasing linear sequences.

• can find the term-to-term rule.

9.2 Finding rules for sequences

​This pattern is made from blue squares.

1. Write the sequence of the numbers of squares.

2. Write the term-to-term rule.

3. Draw the next pattern in the sequence.

4. Explain how the sequence is formed.

5. Work out the position-to-term rule.

Students practice from coursebook page: 207-208

Draw

Write down your answer!

Multiple Choice

The multiples of which number should be used to find the position-to-term rule?

• 3

• 4

• 5

• 6

Multiple Choice

What is the term-to-term rule for this pattern?

• add 4

• add 3

• add 2

• add 1

Fill in the Blanks

How many matches are needed each time a new hexagon is added to the pattern?

Multiple Choice

Write down your answer!

• 45
• 22
• 30
• 51

Multiple Choice

The rule linking the position to the term is:

• multiply the position by 2 to find the term.

• add 2 to the position to find the term.

• square the position and then add 1 to find the term.

• none of the above.

Draw

Write down your answer!

Conclusion

Surely, Now i can ....

• find the position-to-term rule.