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Cotmanhay Junior School

Safe, Happy Learning

Week 7 - 9 Fractions A

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

  1. Understand the denominators of unit fractions
  2. Compare and order unit fractions
  3. Understand the numerators of non-unit fractions
  4. Understand the whole
  5. Compare and order non-unit fractions
  6. Fractions and scales
  7. Fractions on a number line
  8. Count in fractions on a number line
  9. Equivalent fractions on a number line
  10. 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.
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