Lesson Plan - Fractions, Decimal, Percentages APP
Objectives
Pupils to assess their understanding of fractions, decimals and percentages.
Key Words: Reflect, Assess, Explain, Communicate
Mental and Oral Starter
Ask pupils to complete the key words table.
Main
Pupils to work independently through the assessment task. Pupils can choose whether
to start on level 3, 4, 5 or 6 but they should not start on level 7. Remind pupils that
they must show all their working out fully. Pupils should not discuss the task with one
another but they can look back through their books to remind themselves of some of
the methods they have learnt recently.
Plenary
Ask pupils to look at their assessment sheet. Tell pupils that they must complete the
‘Tips / Hints’ box by explaining in their own words the maths they did today. Ask them
to also describe any help that they had. Remind pupils that you will be marking their
work and completing the ‘my teacher’s’ boxes. Remind students that next lesson for
the starter activity they must come in and look for the question you have set and
respond either by answering it or by explaining why the question is too hard for them
to answer.
Level 3
Level 4
Recognise proportions of a
whole and
use simple fractions and
percentages to describe these.
Order decimals to 3 decimal
places.
Level 5
Probing Questions
What fractions can you easily work out in your head? Talk me through
a couple of examples.
What do you look for first when you are ordering numbers with
decimals?
Give me a number between 0.12 and 0.17. Which of the two numbers is
it closer to? How do you know?
Give me two equivalent fractions. How do you know they are equivalent?
Find Equivalent fractions.
Give me some fractions that are equivalent to … How did you do it?
Reduce a fraction to its
How do you know when you have the simplest form of a fraction?
simplest form by cancelling How do you decide when to use a calculator, rather than a mental or
common factors
written method, when finding fractions of quantities? Give me some
Order decimals.
examples.
Calculate simple fractions of a
number/quantity e.g. ⅜ of 40g
Level 6
How would you go about finding the decimal and percentage equivalents
Use the equivalence of
of any fraction?
fractions, decimals and
How would you find out which of these is closest to 1/3: 10/31; 20/61;
percentages to
30/91; 50/151?
compare proportions.
Give me a fraction between 1/3 and 1/2. How did you do it? Which is
it closer to? How do you know?
Level 7
Write some fractions which terminate when converted to a decimal.
Understand the equivalence
What do you notice about these fractions? What clues do you look for
between recurring decimals and when deciding if a fraction terminates?
fractions.
1/3 is a recurring decimal. What other fractions related to one-third
will also be recurring?
LO To assess your understanding of
Fractions, Decimals and Percentages
Reflect, Assess, Explain, Communicate
RAG
10-Apr-15
Starter Activity
Look back at your never heard the word grid.
Are there any key words which you now know
the meaning of which you didn’t know before.
Write down their meanings in your ‘Heard the
Word’ table.
Key Words
Fraction
Numerator
Denominator
Equivalent
Lowest Terms
Percentage
Never
heard
before?
Heard of
but not
sure what
it means?
Know what it means and can explain it in
context. Jot down your ideas here...
Key Words
Fraction
Numerator
Denominator
Equivalent
Lowest Terms
Percentage
Never
heard
before?
Heard of
but not
sure what
it means?
Know what it means and can explain it in
context. Jot down your ideas here...
Task
Level 3
Write down the fraction of each diagram that is shaded in.
Level 4 Task
Choose two of these diagrams and write down two equivalent fractions for each one.
Level 4 Question
Which is bigger ¼ of 28 or ⅕ of 30? Explain how you know.
Level 5 Task
Which of these fractions can be cancelled down? Write each one in its lowest terms.
Explain how you can tell that the other fractions can’t be cancelled down?
Level 5 Question
Which is bigger ⅜ of 48 or ⅘ of 25? Explain how you know.
Level 6 Task
Choose three fractions and convert them into percentages and decimals without using a
calculator, explain how you did it.
Choose three different fractions and use a calculator to convert them into percentages and
decimals. Put the six fractions in order from smallest to biggest.
Level 7 Task
Explain how you can tell whether a fraction is a terminating decimal or a recurring decimal.
level
Fractions
7
I understand the equivalence between
recurring decimals and fractions.
6
I can change fractions to decimals and
percentages and order them from
biggest to smallest.
5
I can cancel down a fraction to its
simplest form.
I can calculate simple fractions of an
amount e.g. ⅜ of 40g
4
I can use an equivalent fraction to
shade in a given fraction on a diagram.
3
I can shade in fractions on a diagram
that has been divided into the right
number of parts.
Tips / Hints ......
My teachers comment ......
My teachers question is ......
My answer is ......