TOPIC : NUMBER SEQUENCE

1. + and –
× and ÷ Problem Solving
Place Value
Reasoning
Week 2 Day 4
Menu
What fraction of the
leaves are orange?
Reveal answer
Is Alison correct?
Explain your reasoning.
Reveal answer
1009
What numbers are hidden
on the number line?
709 1209
1109
909
809
Reveal answer
254 + 125 =
2200
3600 – 1400 =
379
Reveal answer
11 4 = 44
72 8 = 9
of the
tractors are
red.

2. TOPIC: Number Sequence and Patterns.
LESSON OBJECTIVE(S)
1. All of you will be able to
differentiate between positive and
negative whole numbers(integers).
2. Most of you will be able to
recognize and extend number
sequence.
3. Some of you will be able to
create a reasonable sequence and
pattern.
KEY WORDS
1. integers
2. temperature
3. sequence
4. patterns
5. increasing
6. decreasing
7. rules

3. 9/29/2023

4. _ _
9/29/2023

5. _ _ _

6. _ _ _

7. Negative Numbers
The temperature
scale is often seen
vertically.
As the temperature
goes below freezing
we use negative
numbers.
0
1
2
3
4
5
6
- 1
- 2
- 3
- 4
- 5
- 6
Water freezing
Getting warmer
Getting colder

8. _ _ _

10. _ _ _

11. _ _ _

12. _ _ _

13. _ _ _

14. _ _ _

15. _ _ _

16. _ _ _

17. _ _ _

18. _ _ _

19. _ _ _

20. _ _ _

21. _ _ _
10mins

22. 22
9/29/2023 9:51 AM
ADD A FOOTER 22
• SEE mark scheme
9/29/2023 9:51 AM
ADD A FOOTER 22
CORRECTION OF STUDENTS’ ACTIVTY
afl (RAG RATING)
15 minutes
80% +
60% - 79%
59% & below

23. 23
9/29/2023 9:51 AM
ADD A FOOTER 23
PLENARY
5mins
1. Differentiate between a positive number and a negative number
2. Explain the term integers.
3. Explain the ‘rules’ in adding and subtracting integers.

24. 24
9/29/2023 9:51 AM
ADD A FOOTER 24
DAY 2

25. + and –
× and ÷ Problem Solving
Place Value
Reasoning
Week 3 Day 5
Menu
Reveal answer
884, 881, 880, 808, 888, 800
What is this time
on a 12-hour
digital clock?
Put these numbers in order from
smallest to greatest:
Is Henry correct?
Explain your reasoning.
Reveal answer
6:10
800, 808, 880, 881, 884, 888
Reveal answer
6500 + 1000 =
250
1000 – 750 =
7500
Reveal answer
4 6 = 24
44 4 = 11
If I count back from
60 in sixes, I will
say the number 30.

26. Success Criteria
Aim
• I can order negative numbers.
• I can identify negative numbers on a number
line.
• I can put negative numbers in order.

27. Ordering Negative Numbers
We know that any number below 0 is a negative number.
Negative numbers are the opposite of positive numbers. Positive
numbers increase above 0, and negative numbers decrease below 0.
The greater the negative number, the further below 0 it is, and the
lower it is.
We can see this by using a number line.
The further below zero that we go, the greater the negative numbers get.
0

28. Ordering Negative Numbers
Which of these negative numbers is lowest?
-12
-20 is furthest below 0. It is the lowest number.
-2 -20

29. Number Lines
Can you order these numbers on the number line? Point to where you think a
number should go, then click the number. Watch it move to the right place.
-5 0 3
-3 2 1
-1
4
-4 -6
-2
As you can see, negative numbers are still in numerical order.
They are the opposite of positive numbers.

30. Number Lines
These numbers are mixed up. Can you put them in order on the number line?
First, point to where you think each number will go, then click the number to
watch it move to the correct position…
Look at the numbers already on the number line to help you position
the mixed up numbers.
-4 0 4
3 -1
-2
2 1
-3

31. Number Lines
Can you identify the number each arrow points to?
Click each arrow to find the answer.
-6 0 4
-5 -1

32. Number Lines
Now identify the numbers these arrows point to.
Click each arrow to find the answer.
-14 0 6
-12 -8 -2 2

33. Spin the Wheel!
Spin this wheel 5 times to get 5 numbers.
Can you put them in descending order
(from highest to lowest)?
Click the button to reveal the correct order.
Spin
-5 1 -18 -1 -15
Order

34. Spin the Wheel!
Spin this wheel 5 times to get 5 numbers.
Can you put them in descending order
(from highest to lowest)?
Click the button to reveal the correct order.
Spin
-9 -20 3 -5 -10
Order

35. Negative Number Maze
These aliens need you to help them get back to their home planet!
Start at any of the 3 aliens at the bottom of your Negative Number Maze Activity Sheet.
Follow the trail of negative numbers up to guide each alien back to their planet.

36. classwork

37. Dive in by completing your own activity!
Diving into Mastery

38. Tricky Temperatures
This alien recorded the temperature on their home planet at the same time
every day for a week.
Day Monday Tuesday Wednesday Thursday Friday Saturday Sunday
Temperatur
e
-13 C -4 C 2 C -10 C -5 C 1 C -19 C
Which was the coldest day? Which was the warmest day?
Sunday was the coldest day
with a temperature of -19°C.
Wednesday was the warmest
day with a temperature of 2°C.

39. Tricky Temperatures
This alien recorded the temperature on their home planet at the same time
every day for a week.
Day Monday Tuesday Wednesday Thursday Friday Saturday Sunday
Temperatur
e
-13 C -4 C 2 C -10 C -5 C 1 C -19 C
Can you put the temperatures in order from warmest to coldest?
Wednesda
y
Saturday Tuesday Friday Thursday Monday Sunday
2 C 1 C -4 C -5 C -10 C -13 C -19 C

40. 40
9/29/2023 9:51 AM
ADD A FOOTER 40
• SEE mark scheme
9/29/2023 9:51 AM
ADD A FOOTER 40
CORRECTION OF STUDENTS’ ACTIVTY
afl (RAG RATING)
15 minutes
80% +
60% - 79%
59% & below

41. 41
9/29/2023 9:51 AM
ADD A FOOTER 41
DAY 3

42. + and –
× and ÷ Problem Solving
Place Value
Reasoning
Week 3 Day 3
Menu
Reveal answer
What is the
missing number?
Use either greater than or
less than to complete this statement:
Reveal answer
Is Henry correct?
Explain your
reasoning.
Reveal answer
9 8 = 72
24 6 = 4 1062
I have more acorns
than Alison.
404 407
Reveal answer
2900
2600 + 300 =
765
872 – 107 =
1162
762 962
862 1262
658 is 685.
less than

43. 9/29/2023
Learning Objective
To find the next number in a sequence,
including decimal and Fraction sequences.

44. Finding the term by term rule
Each number in a sequence is called a term.
What you need to add to or subtract from a
term in a sequence to make the next term is
called the rule.
You can express the rule like this: +2
1 3 5 7 9 11 13
A sequence is a list of numbers or objects in a special order.

45. Finding the rule
On your whiteboards write down the rule and then
the next three terms.
1. 2 5 8 ? ? ?
2. 4 10 16 ? ? ?
3. 15 13 11 ? ? ?

46. Finding the rule
Answers
1. 2 5 8 11 14 17 +2
2. 4 10 16 22 28 34 +6
3. 15 13 11 9 7 5 -
2

47. 9/29/2023
Look at these number sequences carefully can you
guess the next 2 numbers?
What about guess the rule?
30 40 50 60 70 80
17 20 29
26
23 32
---------------------------------------------------------------------------------------------------------------------
---------------------------------------------------------------------------------------------------------------------
48 41 34 27 20 13
+10
+3
-7

48. 9/29/2023
Can you work out the missing numbers in each of
these sequences?
50
30
175
150
125
100
75
---------------------------------------------------------------------------------------------------------------------
50 70 90 110 130
---------------------------------------------------------------------------------------------------------------------
171
176
181
186
191
196
---------------------------------------------------------------------------------------------------------------------
256
266
276
286
296
306
+25
+20
-5
-10

49. 9/29/2023
Now try these sequences – think carefully and guess the
last number!
1 2 16
4 7 11
3
---------------------------------------------------------------------------------------------------------------------
12 24 48 96
6
---------------------------------------------------------------------------------------------------------------------
0.5 2 3.5 5 6.5 8
---------------------------------------------------------------------------------------------------------------------
7 -5
-2
1
4 -8
+1, +2,
+3 …
double
+ 1.5
-3

50. 9/29/2023
This is a really famous number sequence which was
discovered by an Italian mathematician a long time ago.
It is called the Fibonacci sequence and can be seen in many
natural things like pine cones and sunflowers!!!
1 1 2 3 5 8 13 21 etc…
Can you see how it is made? What will the next number
be?
34!
See if you can
find out
something
about
Fibonacci!

51. The next numbers are
34 55 89 144 233 377 610 987 1597
So what is the rule?
You add the last two numbers
together to get the next number!
This number sequence is called
Fibonacci numbers.

52. 9/29/2023
Fibonacci’s number pattern can also be seen
elsewhere in nature:
•with the rabbit population
•with snail shells
•with the bones in your fingers
•with pine cones
•with the stars in the solar system

53. 9/29/2023
Guess my rule!
For these sequences I have done 2 maths functions!
3 7 31
15 63 127
x2 -1
2 33
17
9
5
3
x2 +1

54. 2 4 6 8 10 ________
1
/
1 3 5 7 9 ________
2/
25 50 75 100 125 ________
3/
1 4 9 16 25 --------
4/
5 9 13 17 21 ________
5/
8 14 20 26 32 ________
6/
1 3 6 10 15 --------
7/
7mins
TASK 1 Complete the number sequence

55. Double vision
• Imagine that we have two robots to help us make patterns
• The output of machine 1 is input to machine 2
13
22
25
3 + 1
12
21
24
Machine 1 Machine 2
4
7
8

56. Double Vision
• Imagine that we have two robots to help us make patterns
• The output of machine 1 is input to machine 2
11
7
39
4 − 5
16
12
44
Machine 1 Machine 2
4
3
11

57. TASK 2
• Here are two stage machines
• What is the output since we know the input?
5
2
4
8
a
7
5
10
7
b
6
6
3
1
c
+ 6
16
26
46
- 11
24
59
38
- 5
31
13
1

58. Exercises 8
• Here are two stage machines
• What is the output since we know the input?
2
6
8
10
a
5
45
55
75
b
7
42
21
35
c
+ 2
5
6
7
- 5
4
6
10
+ 6
12
9
11

59. 59
9/29/2023 9:51 AM
ADD A FOOTER 59
• SEE mark scheme
9/29/2023 9:51 AM
ADD A FOOTER 59
CORRECTION OF STUDENTS’ ACTIVTY
afl (RAG RATING)
15 minutes
80% +
60% - 79%
59% & below

60. 60
9/29/2023 9:51 AM
ADD A FOOTER 60
DAY 4

61. Problem Solving
Summer 5 Tuesday
Menu
Reasoning
Reveal answer
How many lines of symmetry
does an equilateral triangle
have?
3
Is Alison correct?
Explain your reasoning.
+ and − Place Value Reveal answer
What number is one
thousand less?
× and ÷
1010
Reveal answer
3 9 8 = 216
26 8 =
Reveal answer
Reveal answer
3 remainder 2
2 0 1 1
+ 4 5 0 3
6 5 1 4
If I round 8450 to the
nearest thousand, I will
round up because of the
digit 5.
2010

63. Number Sequences
-35
Next
Number
Next
Number
Next
Number
Next
Number
Go
Go
Go
Go
-30 -25 -20 -15 -10 -5 0 5
30 24 18 12 6 0 -6 -12 -18
20 17 14 11 8 5 2 -1 -4
-1.2 -0.9 -0.6 -0.3 0 0.3 0.6 0.9 1.2

64. Number Sequences
260
Next
Number
Next
Number
Next
Number
Next
Number
Go
Go
Go
Go
210 160 110 60 10 -40 -90 -140
-40 -33 -26 -19 -12 -5 2 9 16
0.25 0.5 0.75 1 1 .25 1.5 1.75 2 2.25
1 2 4 8 16 32 64 128 256

65. 65
9/29/2023 9:51 AM
ADD A FOOTER 65
8mins

66. Other Number Patterns
• Consider the following pattern using dots.
• The name of the above sequence is TRIANGLE NUMBERS
1 3 6 10 15
+2 +3 +4 +5

67. Other Number Patterns
• Consider the following pattern using squares..
1 4 9 16 25
+3 +5 +7 +9
1 1
2 2
3 3
4 4
5 5

68. Number Patterns - Matches
• Gareth uses matches to produce hexagon patterns
• Draw a rough draft
• of the next two patterns.
Pattern 1 Pattern2
Pattern 3

69. Number Patterns - Matches
• Gareth uses matches to produce hexagon patterns
Pattern 4
Pattern 5

70. 70
9/29/2023 9:51 AM
ADD A FOOTER 70
ACTIVITY
5mins

71. 71
9/29/2023 9:51 AM
ADD A FOOTER 71
• SEE mark scheme
9/29/2023 9:51 AM
ADD A FOOTER 71
CORRECTION OF STUDENTS’ ACTIVTY
afl (RAG RATING)
15 minutes
80% +
60% - 79%
59% & below

72. Patterns and sequences
Now try these patterns:
3, 7, 11, 15, 19, …, …
128, 64, 32, 16, 8, …, …
1000, 100, 10, 1, …, …
5, 15, 45, 135, …, …

73. Success Criteria
Aim
• I can identify and represent numbers in different ways.
• I can say how many thousands are in a given number.
• I can say how many hundreds are in a given number.
• I can say how many tens are in a given number.
• I can say how many ones are in a given number.
• I can show numbers in a range of representations.