G6 2.1 Counting and sequences

Multiple Choice

What’s the rule? Sequence: 0.5, 1.0, 1.5, 2.0

• The rule is to add 1.0 to the previous number.
• The rule is to add 0.5 to the previous number.
• The rule is to multiply the previous number by 2.
• The rule is to subtract 0.5 from the previous number.

​2.1 Counting and Sequences

By KHAIRUNNISA NUR FITHRIANI

​Let’s spot patterns and rules in number sequences!

Today, you will learn to:"

1. Count forward and backward in constant steps (positive, negative, fractions & decimals)

2. Use repeated addition or multiplication to find and apply a position-to-term rule

Friendly reminder: “These help us solve patterns in real life!”

New Words to Remember...

• Term: a number in the sequence (e.g. 6, 12, 18, 24)

• Position: where the number appears (e.g. 12 is in position 2)

• Term-to-term rule: what we add/subtract/multiply to get the next term

• Position-to-term rule: how to calculate the term from its position (e.g. 6 × position)

Fill in the Blanks

Let’s Look at This Sequence: 6, 12, 18, 24...

What’s the term-to-term rule?

Multiple Choice

Let’s Look at This Sequence: 6, 12, 18, 24...

“What’s the position-to-term rule?”

• 12 + position

• 6 + position

• 3 × position

• 6 × position

Word Cloud

What word do you think of when you hear “sequence”?

Poll

Have you used sequences in real life?

• Yes – money, steps, recipes

• Not sure

• Not yet

Drag and Drop

What’s the 4th term in this sequence? 5, 10, 15, ​

Placeholder

Drag these tiles and drop them in the correct blank above

20

25

30

35

15

16

21

40

Let's now answer some Getting Started Questions

Fill in the Blanks

These patterns of dots show the first three square numbers. Write the first ten square numbers

Drag and Drop

Given the first term and the term-to-term rule, write down the first six terms of each sequence.

a. First term: 4, term to term rule: add 7



​

Placeholder

,​

Placeholder

, 18 , ​

Placeholder

, ​

Placeholder

,​

Placeholder

Drag these tiles and drop them in the correct blank above

4

11

25

32

39

7

15

19

29

17

Drag and Drop

Given the first term and the term-to-term rule, write down the first six terms of each sequence.

b. First term: 2, term-to-term rule: add 9

2, ​

Placeholder

, ​

Placeholder

,​

Placeholder

,​

Placeholder

,​

Placeholder

Drag these tiles and drop them in the correct blank above

11

20

29

38

47

23

30

10

48

13

Fill in the Blanks

The numbers in this sequence increase by equal amounts each time. What are the three missing numbers?

1,.....,......,......., 13

Match

Match sequence to its rule:

• 2, 4, 6

• 10, 20, 30

• -1, -3, -5

Add 2 or 2 × n

10 × n

Subtract 2

• Add 2 or 2 × n

• 10 × n

• Subtract 2

Open Ended

Look at this sequence: 1.5, 2.0, 2.5, 3.0... What’s the pattern and rule?

Open Ended

A robot moves forward by 1.25 meters every second. How far will it go after 5 seconds?

Poll

Which rule feels easier for you?

• Term-to-term

• Position-to-term

• Both are okay

Word Cloud

One word to describe how you feel about sequences now?

Open Ended

Create your own number sequence. Write the term-to-term and position-to-term rules.

Please open your Learner's book and answer questions no 1-5 on page 23-25. You can discuss with your deskmate.