Fractions and decimals (2 year teaching) (8300 - Higher - Number)

Topic:

Fractions and decimals

Specification references (in recommended teaching order)

	Specification content	Specification notes
N1	Order positive and negative decimals and fractions
N2	Apply the four operations, including formal written methods, to simple fractions (proper and improper) and mixed numbers - both positive and negative Apply the four operations, including formal written methods, to decimals – both positive and negative Understand and use place value (e.g. when calculating with decimals)	Including questions set in context Knowledge of terms used in household finance, for example profit, loss, cost price, selling price, debit, credit and balance, income tax, VAT, interest rate
N8	Calculate exactly with fractions
N10	Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and `7/2` or 0.375 and `3/8`) including ordering Change recurring decimals into their corresponding fractions and vice versa	including ordering

The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

The expectation is that:

All students will develop confidence and competence with the content identified by standard type
All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

Teaching resources

Teaching resources - see below

99+

Downloadable resource in format. 29/08/2014

Farey Sequences

Investigation in which students consider Farey Sequences of fractions and investigate a number of questions posed about the sequences. 20/05/2015

Four Operations - Fractions - Tarsia

A tarsia activity in which students must work with the four operations on improper fractions and mixed numbers. The cards form a rectangle. You will need to register for a TES account to access this resource, this is free of charge. 20/05/2015

Four operations with negative fractions

A demanding online exercise involving the use of more than one operation, and negative fractions, in a series of questions. This exercise includes some fractional questions set in context.20/05/2015

Fraction Order 1

Students have to order a number of fractions along the body of the snake. (Some basic decimals are included - these could be converted to fractions to ensure a focus on fractions). 20/05/2015

Whole class sorting - Fractions

A whole class activity in which students are each given a fraction and they must put themselves in a line in order of size. You will need to register for a TES account to access this resource, this is free of charge. 20/05/2015

Egyptian Fractions

Investigative style activity in which students must write a given fraction as the sum of unit fractions. You will need to register for a TES account to access this resource, this is free of charge. 20/05/2015

Mixed numbers area and perimeter extension

Demanding worksheet which involves working with area and perimeter of rectangles where side lengths are given as mixed numbers. You will need to register for a TES account to access this resource, this is free of charge. 20/05/2015

Worded fraction questions

A worksheet involving the solution of a range of 'real life' problems involving fractions. You will need to register for a TES account to access this resource, this is free of charge.20/05/2015

Countdown Fractions

The standard countdown game with a twist - the target number and some of the selected cards contain fractions. Four level of difficulty. 20/05/2015

Fractions - Who wants to be a millionaire?

Two powerpoint activities in the style of the game show 'Who wants to be a millionaire' which require ordering of fractions and converting between proper and improper fractions. You will need to register for a TES account to access this resource, this is free of charge. 20/05/2015

Operations with Fractions Jeopardy Game

Online game to practise the four operations with fractions. Students can play individually or in up to 4 different teams. The questions have four levels of difficulty in each round.20/05/2015

-Fractions and Decimals-Limits-Worksheet

Downloadable resource in xls format. 08/08/2010

33 KB