Math presentation

1. Maths
Fractions
Maths | Fractions | Fraction Number Sequences| Lesson 1 of 1: Fraction Number Sequences

3. Success Criteria
Aim
• To identify and continue fraction sequences.
• I can continue fraction sequences, where the rule is given.
• I can identify the rule for a fraction sequence.
• I can identify missing values in a fraction sequence.

4. Remember It
Sort into proper fractions, improper fractions and mixed numbers.
Proper
fractions
Improper
fractions
Mixed
numbers
2
3
1
4
6
5
6
4
12
5
3
4
6
4
1
2
2
9
11
10
3

5. Remember It
Now, convert the improper fractions into mixed numbers
and mixed numbers into improper fractions.
Improper
fractions
Mixed
numbers
1
4
6
5
6
4
12
5
6
4
1
2
2
10
3
= 2
2
5
= 1
2
4
= 3
1
3
25
4
=
29
6
=
5
2
=

6. Fraction Sequences -
Unit Fractions
We are going to increase by steps of ¼ starting at zero.
0
10
4
9
4
8
4
7
4
6
4
5
4
4
4
3
4
2
4
1
4
What do we mean by ‘increase by steps of ¼’?
The next number in the sequence needs to be ¼ greater.
We could write
the numbers
after ¾ as whole
numbers and
mixed numbers.
1
4
1
1 2
4
1
3
4
1 2 1
4
2
2
4
2

7. Fraction Sequences –
Unit Fractions
We are going to increase by steps of starting at zero.
0
10
5
9
5
8
5
7
5
6
5
5
5
4
5
3
5
2
5
1
5
1
5
1
1 2
5
1
3
5
1
4
5
1 2
1
5
We could write
the numbers
after as whole
numbers and
mixed numbers.
4
5

8. Fraction Sequences –
Unit Fractions
We are going to decrease by steps of ¼ starting at 3.
5
4
6
4
7
4
8
4
4
4
3
4
11
4
3
4
1
2
2
4
1 1
12
4
9
4
10
4
2
4
What do we mean by ‘decrease by steps of ¼’ ?
The next number needs to be ¼ smaller.
If the numbers are improper
fractions, we could write them as
whole numbers or mixed numbers.
3 2 3
4
2 2
4
2 1
4
1
1
4
3

9. Fraction Sequences -
Unit Fractions
Draw this number line. Decrease by steps of starting at 3.
2
3
3
3
4
3
5
3
1
3
8
3
2
3
1
1
3
1 1
3
6
3
7
3
We could write
the fractions as
whole numbers or
mixed numbers.
2 2
3
2 1
3
2
1
3

10. 0 1 2
1
5
1
5
1
4
5
1
2
5
1
2
5
3
5
4
5
3
5
1
5
3
6
3
5
6
3
4
6
3
Can you complete these sequences?
5
5
1
6
4
2
6
4
3
6
4
4
6
4
5
6
4 4
2
6
3
Fraction Sequences -
Unit Fractions
Increase by steps of starting at zero. Add drawings of the
fractions if you wish. Use mixed numbers where possible.
1
5
Decrease by steps of starting at 5. Add drawings of the
fractions if you wish. Use mixed numbers where possible.
1
6

11. What do you notice about this sequence?
What fraction is this sequence increasing by?
The sequence is not increasing by a unit fraction.
In this case, it is increasing by two fifths.
What’s the missing number?
3
5
0
2
5
2
5
2
4
5
2
4
5
1
5
1
3
5
1 2
2 5
1
5
6
3
5
2
1
5
3
4
5
3
2
5
4
3
5
5
Fraction Sequences -
Non-Unit Fractions

12. For some sequences, it can be easier to first calculate the sequence
in improper fractions, then convert to mixed numbers.
Increase by steps of 3/7. First, count in improper fractions.
3
7
3
0
Now, convert to
mixed numbers.
What would be
the next number
in the sequence?
3
7
21
7
6
7
9
7
12
7
15
7
18
7
2
7
1
5
7
1
1
7
2 3
4
7
2
Fraction Sequences -
Non-Unit Fractions

13. Fraction Sequences -
Non-Unit Fractions
0
2
6
4
6
9
7
4
9
7
3
8
4
6
8
4
6
9
7
3
5
5
1
5
5
Complete the missing values.
You can use improper fractions for working out but write
your answers as mixed fractions and whole numbers.
1
2
6
1
2
6
2
2
4
6
1
4
5
4 4
1
8
5
4
8
5
7
8
5
2
8
6
5
8
6
2
5
4
3
5
3
1
5
3

14. Practise Your Sequence Skills
2, 2 , 2 , 2
1
4
2
4
3
4
3 , 3, 2 , 1
2
3
1
3
2
3
5 , 4 , 4 , 3
1
4
3
4
1
4
2 , 3 , 4 , 5
3
4
1
4
2
4
3
4
Decrease by
Decrease by
Increase by
Increase by
2
3
1
2
1
4
3
4
Increase by
2
3
Match the Rule
One rule has not been matched. Write a sequence of your own to match this rule.
Match each sequence to its rule.

15. Practise Your Sequence Skills
2
3
Complete the Sequences
2
3
3
2
3
5
2
3
1
2
3
4
2
3
2
4 6
2
5
4
3
5
5
4
5
4
1
5
5
4
6
1
1
6
1
4
6
3 1
6
3
4
6
2
1
6
2
Complete the missing values:

16. Practise Your Sequence Skills
True or False?
7
8
1
3
8
2
3
8
1
1
8
2
5
8
1
1
8
1
True
Explain your answer.
The proper fractions are repeating. We can see that
there will be no whole number in this sequence.
In this sequence
there will not be a
whole number.

17. Practise Your Sequence Skills
True or False?
2
1
2
2
1
2
1
1
4
2
3
4
1
1
4
1
False
Explain your answer.
This sequence goes up in each time.
1 is the same as 1 .
1
4
1
2
2
4
This sequence is
incorrect because
the denominators
are not all the same.

18. Fraction Sequences
Practise your fraction sequence skills with this activity sheet.

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

20. Spot the Error
Cara has been writing sequences with 1½ in the middle.
She has made one error. Can you spot the mistake?
1
2 2
1
1
2
2
1
2
1
3
1
4
2 0
1
2
1
3
4
1
2 3
4
1
1
2
1
1
4
1
2
5
6
1
6
1
1
2
1
5
6
1 more than 1 5
6
is 2
2
6
1
6
.
Can you write a different
sequence with 1½ in the middle?
Challenge: change one of the
numbers in your sequence and see
if your partner can spot the error.

21. Success Criteria
Aim
• To identify and continue fraction sequences.
• I can continue fraction sequences, where the rule is given.
• I can identify the rule for a fraction sequence.
• I can identify missing values in a fraction sequence.