Year 4 Maths: Writing a Sequence from a Rule

Introduction

Hello Year 4! Today, we are going to learn how to write a sequence from a rule. A sequence is a list of numbers that follow a certain pattern. The rule tells us how to get from one number to the next. Let’s dive in!

What is a Sequence?

A sequence is a group of numbers arranged in a specific order. You can think of it like a pattern or a set of steps that we follow.

Example of a Sequence

Let’s look at a simple sequence:

2, 4, 6, 8, 10

In this sequence, each number is increased by 2. So, if we know the rule is “add 2,” we can continue the sequence.

Writing a Sequence from a Rule

Steps to Write a Sequence:

1. Identify the starting number. This is the first number in your sequence.
2. Look at the rule. This tells you how to change the starting number to get to the next number.
3. Use the rule. Apply the rule repeatedly to find the next numbers in the sequence.

Example of Writing a Sequence

Starting Number: 5

Rule: Add 3

1. Start with 5.
2. 5 + 3 = 8 (second number)
3. 8 + 3 = 11 (third number)
4. 11 + 3 = 14 (fourth number)
5. 14 + 3 = 17 (fifth number)

So, the sequence is: 5, 8, 11, 14, 17.

Key Rules

• Starting Number: Always begin with the first number.
• Rule: This is what you will do over and over to get the next number.
• Write Down: Keep writing the numbers until you reach the desired amount.

Tips and Tricks

1. Check Your Work: After you write the sequence, go back and check if you followed the rule correctly.
2. Use Counters: Sometimes it helps to use counters or blocks to see the numbers visually.
3. Practice: The more you practice, the better you will get at it!

Questions

Easy Level Questions

1. Starting number: 1, Rule: Add 1. Write the first five numbers.
2. Starting number: 3, Rule: Add 2. Write the first five numbers.
3. Starting number: 0, Rule: Add 5. Write the first five numbers.
4. Starting number: 4, Rule: Add 4. Write the first five numbers.
5. Starting number: 10, Rule: Subtract 1. Write the first five numbers.
6. Starting number: 2, Rule: Add 3. Write the first five numbers.
7. Starting number: 6, Rule: Add 1. Write the first five numbers.
8. Starting number: 5, Rule: Add 2. Write the first five numbers.
9. Starting number: 8, Rule: Subtract 2. Write the first five numbers.
10. Starting number: 1, Rule: Add 4. Write the first five numbers.
11. Starting number: 7, Rule: Add 3. Write the first five numbers.
12. Starting number: 12, Rule: Subtract 3. Write the first five numbers.
13. Starting number: 9, Rule: Add 1. Write the first five numbers.
14. Starting number: 2, Rule: Add 2. Write the first five numbers.
15. Starting number: 15, Rule: Subtract 5. Write the first five numbers.
16. Starting number: 4, Rule: Add 1. Write the first five numbers.
17. Starting number: 3, Rule: Subtract 1. Write the first five numbers.
18. Starting number: 0, Rule: Add 1. Write the first five numbers.
19. Starting number: 10, Rule: Add 10. Write the first five numbers.
20. Starting number: 6, Rule: Subtract 6. Write the first five numbers.

Medium Level Questions

1. Starting number: 2, Rule: Multiply by 2. Write the first five numbers.
2. Starting number: 1, Rule: Add 5. Write the first five numbers.
3. Starting number: 3, Rule: Add 4. Write the first five numbers.
4. Starting number: 10, Rule: Subtract 2. Write the first five numbers.
5. Starting number: 5, Rule: Add 3. Write the first five numbers.
6. Starting number: 4, Rule: Multiply by 3. Write the first five numbers.
7. Starting number: 6, Rule: Add 6. Write the first five numbers.
8. Starting number: 10, Rule: Subtract 3. Write the first five numbers.
9. Starting number: 7, Rule: Add 2. Write the first five numbers.
10. Starting number: 12, Rule: Subtract 4. Write the first five numbers.
11. Starting number: 1, Rule: Multiply by 3. Write the first five numbers.
12. Starting number: 9, Rule: Add 1. Write the first five numbers.
13. Starting number: 2, Rule: Add 2. Write the first five numbers.
14. Starting number: 8, Rule: Subtract 1. Write the first five numbers.
15. Starting number: 15, Rule: Add 5. Write the first five numbers.
16. Starting number: 5, Rule: Multiply by 2. Write the first five numbers.
17. Starting number: 11, Rule: Subtract 1. Write the first five numbers.
18. Starting number: 4, Rule: Add 3. Write the first five numbers.
19. Starting number: 0, Rule: Add 6. Write the first five numbers.
20. Starting number: 10, Rule: Add 1. Write the first five numbers.

Hard Level Questions

1. Starting number: 2, Rule: Multiply by 3. Write the first five numbers.
2. Starting number: 5, Rule: Subtract 4. Write the first five numbers.
3. Starting number: 3, Rule: Add 7. Write the first five numbers.
4. Starting number: 12, Rule: Subtract 5. Write the first five numbers.
5. Starting number: 1, Rule: Multiply by 4. Write the first five numbers.
6. Starting number: 8, Rule: Add 5. Write the first five numbers.
7. Starting number: 10, Rule: Subtract 2. Write the first five numbers.
8. Starting number: 6, Rule: Multiply by 2. Write the first five numbers.
9. Starting number: 2, Rule: Subtract 1. Write the first five numbers.
10. Starting number: 15, Rule: Add 3. Write the first five numbers.
11. Starting number: 0, Rule: Add 4. Write the first five numbers.
12. Starting number: 7, Rule: Multiply by 2. Write the first five numbers.
13. Starting number: 4, Rule: Add 6. Write the first five numbers.
14. Starting number: 9, Rule: Subtract 4. Write the first five numbers.
15. Starting number: 5, Rule: Multiply by 3. Write the first five numbers.
16. Starting number: 3, Rule: Add 8. Write the first five numbers.
17. Starting number: 10, Rule: Subtract 1. Write the first five numbers.
18. Starting number: 8, Rule: Multiply by 2. Write the first five numbers.
19. Starting number: 2, Rule: Add 9. Write the first five numbers.
20. Starting number: 12, Rule: Multiply by 1. Write the first five numbers.

Answers

Easy Level Answers

1. 1, 2, 3, 4, 5
2. 3, 5, 7, 9, 11
3. 0, 5, 10, 15, 20
4. 4, 8, 12, 16, 20
5. 10, 9, 8, 7, 6
6. 2, 5, 8, 11, 14
7. 6, 7, 8, 9, 10
8. 5, 7, 9, 11, 13
9. 8, 6, 4, 2, 0
10. 1, 5, 9, 13, 17
11. 7, 10, 13, 16, 19
12. 12, 9, 6, 3, 0
13. 9, 10, 11, 12, 13
14. 2, 4, 6, 8, 10
15. 15, 10, 5, 0, -5
16. 4, 5, 6, 7, 8
17. 3, 2, 1, 0, -1
18. 0, 1, 2, 3, 4
19. 10, 20, 30, 40, 50
20. 6, 0, -6, -12, -18

Medium Level Answers

1. 2, 4, 8, 16, 32
2. 1, 6, 11, 16, 21
3. 3, 7, 11, 15, 19
4. 10, 8, 6, 4, 2
5. 5, 8, 11, 14, 17
6. 4, 12, 36, 108, 324
7. 6, 12, 18, 24, 30
8. 10, 7, 4, 1, -2
9. 7, 9, 11, 13, 15
10. 12, 8, 4, 0, -4
11. 1, 3, 9, 27, 81
12. 9, 10, 11, 12, 13
13. 2, 4, 6, 8, 10
14. 8, 7, 6, 5, 4
15. 15, 20, 25, 30, 35
16. 5, 10, 20, 40, 80
17. 11, 10, 9, 8, 7
18. 4, 7, 10, 13, 16
19. 0, 6, 12, 18, 24
20. 10, 11, 12, 13, 14

Hard Level Answers

1. 2, 6, 18, 54, 162
2. 5, 1, -3, -7, -11
3. 3, 10, 17, 24, 31
4. 12, 7, 2, -3, -8
5. 1, 4, 16, 64, 256
6. 8, 13, 18, 23, 28
7. 10, 8, 6, 4, 2
8. 6, 12, 24, 48, 96
9. 2, 1, 0, -1, -2
10. 15, 18, 21, 24, 27
11. 0, 4, 8, 12, 16
12. 7, 14, 28, 56, 112
13. 4, 12, 36, 108, 324
14. 9, 5, 1, -3, -7
15. 5, 15, 45, 135, 405
16. 3, 11, 19, 27, 35
17. 10, 9, 8, 7, 6
18. 8, 16, 32, 64, 128
19. 2, 11, 20, 29, 38
20. 12, 12, 12, 12, 12

Feel free to ask questions if you are unsure about anything! Happy learning!