National curriculum content
- Recognise, find, name and write fractions 1/3, ¼, 2/4 and ¾ of a length, shape, set of objects or quantity
- Write simple fractions for example, ½ of 6 = 3 and recognise the equivalence of 2/4 and ½
Lesson objectives
- Understand the denominators of unit fractions
- Compare and order unit fractions
- Understand the numerators of non-unit fractions
- Understand the whole
- Compare and order non-unit fractions
- Fractions and scales
- Fractions on a number line
- Count in fractions on a number line
- Equivalent fractions on a number line
- Equivalent fractions as bar models
What we want children to know
- Explore making and recognising equal and unequal parts
- Understand the concept of a whole as being one object or one quantity
- Understand halving is splitting a whole into two equal parts
- Introduce the language numerator and denominator
- Extend knowledge of the whole and halves to recognising quarters of shapes, objects and quantities
- Explain what each of the digits represents in a fractional notation
- Understand of a third and three equal parts to find a third of a quantity
- Understand the concept of a unit fraction by recognising it as one equal part of a whole
- Understand that the denominator represents the number of parts that a shape or quantity is split into
- Explore the equivalence of two quarters and one half of the same whole and understand they are the same
- Begin to understand that fractions can be larger than one whole
What skills we want children to develop
Use knowledge to solve reasoning and problem solving questions such as:
What comes next?
5 ½, 6 ½, 7 ½, ….., …..
9 ½, 9, 8 ½, …., ….
What do you notice?
¼ of 4 = 1
¼ of 8 = 2
¼ of 12 = 3
Continue the pattern. What do you notice?
Odd one out
Which is the odd one out in this trio:
1/2 2/4 1/4
Why?
Mathematical talk
- How many equal parts has the shape/object/length been split into?
- What is the value of the whole? What is the value of the whole? What to do you notice?
- How many quarters make a whole?
- Can you shade 1/3 in a different way? How do you know that you have shaded a 1/3?
- Why do we call them a unit fraction? Where can we see the unit?
- Give me an example of a unit fraction and a non-unit fraction.