Fractions B
Term 1 starting in week 10 :: Estimated time: 2 weeks
- Multiply fractions by integers
- Multiply fractions by fractions
- Divide a fraction by an integer
- Divide any fraction by an integer
- Mixed questions with fractions
- Fraction of an amount
- Fraction of an amount - find the whole
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Activities for pupils
Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. Click anywhere in the grey area to access the resource.
Fraction Spinners Know the properties of the fractions randomly produced by the two spinners.
Fractions Video So many people can't remember how to add, subtract, multiply and divide fractions so here is a reminder.
Fractions by Wholes An exercise on multiplying and dividing proper fractions and mixed numbers by whole numbers.
Fractions A series of self-marking exercises on adding, subtracting, multiplying and dividing fractions.
Fractionagons Calculate the missing fractions in these partly completed arithmagon puzzles.
Ratio A self marking exercise on using ratio notation, reducing a ratio to its simplest form and dividing a given quantity into a number of parts in proportion to a given ratio.
Ratio Video Learn to work with ratios including dividing a quantity in a given ratio.
Polygon Areas Investigate which polygons have an area of 4 square units on this interactive dotty grid.
Fractions, Decimals, Percentages An exercise on converting fractions to decimals, decimals to percentages and percentages to fractions.
Click on a topic below for suggested lesson Starters, resources and activities from Transum.
- Decimals Working with decimals, for most pupils, presents little difficulty if the pupils have confidence working with whole numbers. The topic of decimals provides an extension to the place value system with the addition of tenths, hundredths, thousandths etc. For many pen and paper multiplication and division calculations the decimal numbers can be considered as whole numbers then the answers adjusted accordingly. So 2.4 x 2.34 can be considered as 24 x 234 รท 1000. The numbers are multiplied by ten and one hundred respectively then the answer needs to be divided by the ten and one hundred to compensate. Pupils should use their understanding of place value to round decimal numbers. They should also use decimal numbers in the context of measures and money. This topic also contains activities which encourage pupils to investigate and explore the properties of decimal numbers and gain a better understanding of them.
- Fractions A fraction is a part of a number. Fractions are either vulgar or decimal. Vulgar fractions can be proper, improper or mixed. Equivalent fractions have the same value. Pupils, at all stages of their learning, should practise using fractions. From dealing with halves, the most basic fraction, to manipulating algebraic fractions containing surds, this topic is always relevant. Proficiency also depends on reasonable numeracy skills particularly the multiplication tables and finding the lowest common multiple of two numbers. Pupils also need to be able to convert vulgar fractions to decimals and percentages and vice versa. Be wary of teaching the 'rules' for manipulation fractions by rote. Pupils need to understand the reason why and the time-honoured key to understanding starts with the imaginary pizza and the much-used fraction wall.
- Ratio A ratio is a relationship between two numbers of the same kind. In layman's terms a ratio represents, simply, for every amount of one thing, how much there is of another thing. This topic presents a number if different ways pupils can represent ratios and apply their meaning to problem solving situations.
Lesson Starters
Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.
1st Lesson
One Ninth
Investigate three fractions which add together to give one ninth.
2nd Lesson
Santa's Sleigh
Work out the number of clowns and horses given the number of heads and feet.
3rd Lesson
Wrapping Paper
Find the order of rotational symmetry of the repeating pattern.
4th Lesson
Boxing Day
Work out the contents and the cost of the Christmas boxes from the given clues.
5th Lesson
Christmas Eve
Is there a pattern in the number of palindromic numbers to be found less than powers of 10?
6th Lesson
Inbetween Table
Write down as many multiples of 3.5 as possible in 3.5 minutes.
7th Lesson
Ropey Snowballs
Arrange the numbers on the snowballs so that no two consecutive numbers are directly connected by rope.
Some of the Starters above are to reinforce concepts learnt, others are to introduce new ideas while others are on unrelated topics designed for retrieval practice or and opportunity to develop problem-solving skills.
