Maths - gaytonj.derby.sch.uk · Mixed Number to Improper Mixed number fractions can also be written...
Transcript of Maths - gaytonj.derby.sch.uk · Mixed Number to Improper Mixed number fractions can also be written...
MathsFractions
Maths | Year 5 | Fractions | Mixed Number and Improper Fractions | Lesson 1 of 2: Converting Fractions
Success Criteria
Aim• I can convert between mixed numbers and improper fractions.
• I can identify improper fractions and mixed numbers.
• I can represent improper fractions and mixed numbers as diagrams.
• I can convert improper fractions into mixed numbers and vice versa.
Odd One OutWhich is the odd one out? Why?
75100
912
0.75
34
34
34
34
34
23
Odd One OutWhich is the odd one out? Why?
2050
1230
0.4
25
25
13
25
25
25
Proper FractionsAll these fractions have numerators that are smaller than their denominators.
This means that they are all less than 1.
They are called proper fractions.
12
34
59
2540
Can you write down three more different proper fractions?
Improper FractionsAll these fractions have numerators that are larger than their denominators.
This means that they are all more than 1.
They are called improper fractions.
42
104
159
5040
Can you write down three more different improper fractions?
Mixed Number FractionsA mixed number fraction is a whole number and a fraction combined into one ‘mixed’ number.
342
In a mixed number fraction, the whole
number has the same number of parts as the denominator of
the fraction.
Improper to Mixed NumberImproper fractions can also be written as a mixed number fraction as they are equivalents.
114
There are eleven parts altogether.
In this fraction, every whole is
made of four parts.
We can see that the equivalent mixed number fraction is two
wholes and three parts.
1 2 3 4
5 6 7 8
9 10 11 342
Think about how many times 4 multiples into 11.
Converting Challenge 1Have a go at changing these improper fractions into their mixed number equivalents.
83
72
75
1 2 3
4 5 6
7 8
1 2
3 4
5 6
7
1 2 3 4 5
6 7
232 1
23 251
Mixed Number to ImproperMixed number fractions can also be written as an improper fraction as they are equivalents.
563 23
6
In this mixed number, every whole is made of six parts.
Think about how many parts there will
be altogether if we calculate 3 × 6.
In this mixed number, there are five parts of a whole.
1 2 3 4 5 6
7 8 9 10 11 12
13 14 15 16 17 18
19 20 21 22 23
Think about how many parts there
will be altogether if we add five more parts of a whole.
Converting Challenge 2Have a go at changing these mixed number fractions into their improper fraction equivalents.
1 2 3 1 2 3 4 51 2
5
133 1
22 35410
3
4 5 6
7
3 4 6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23
52
235
Converting Fractions
Bingo
Success Criteria
Aim• I can convert between mixed numbers and improper fractions.
• I can identify improper fractions and mixed numbers.
• I can represent improper fractions and mixed numbers as diagrams.
• I can convert improper fractions into mixed numbers and vice versa.