A solution to an equality with one variable is a value which, when substituted, maintains the equality between the expressions.

The reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1

Checking and securing understanding of solving with simple algebraic fractions

Maths

Simplifying algebraic fractions

Operations with algebraic fractions

Solving equations with algebraic fractions

Checking and securing understanding of changing the subject with simple algebraic fractions

Changing the subject with multiple algebraic fractions

Changing the subject where the variable appears in multiple terms

Problem solving with advanced algebraic fractions

The functions unit requires pupils to write composite functions and pupils will need to draw on their understanding of how to manipulate various algebraic expressions and equations, including algebraic fractions.

In the prior unit, pupils explored various ways to manipulate and solve various equations and formulae. In this unit, pupils apply these skills to algebraic fractions in order to change the subject and manipulate the algebraic fraction.

In this unit, pupils apply skills in manupulating and solving various equations and formulae to algebraic fractions in order to change the subject and manipulate them.

Algebraic fractions

To simplify an expression is to write it in a more efficient form without affecting the value of the original expression. Fully simplifying means the expression cannot be simplified further.

To factorise is to express a term as the product of its factors.

The quadratic formula is a formula for finding the solutions to any quadratic equation of the form $$ax^2 + bx + c = 0$$

The subject of an equation/a formula is a variable that is expressed in terms of other variables. It should have an exponent of 1 and a coefficient of 1

Compound interest is the interest calculated on the original amount and the interest accumulated over the previous period.

Tree diagrams are a representation used to model statistical/probability questions. Branches represent different possible events or outcomes.

Each branch of a probability tree shows a possible outcome from an event or from a stage of a trial, along with the probability of that outcome happening.

Help using Oak

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

Primary

Year 7

Year 8

Year 9

Year 10

Year 11

Secondary

Who we are

Meet the team

Oak's curricula

Get involved

Contact us

About us

AI experiments

Plan a lesson

Blogs

Webinars

Help

Guidance

Art and design

Computing

Cooking and nutrition

Design and technology

English

Geography

History

Music

Physical education

Religious education

RSHE (PSHE)

Science

Digital literacy

Financial education

Rule of law

French

Spanish

Expressive arts and design

Literacy

Personal, social and emotional development

Understanding the world

EYFS

Keystages

Citizenship

German

Biology

Chemistry

Citizenship (Core)

Citizenship (GCSE)

Combined science

Computer Science (GCSE)

Computing (Core)

Physical education (Core)

Physical education (GCSE)

Physics

Religious education (Core)

Religious education (GCSE)

Edexcel

Eduqas

Edexcel B

Foundation

Higher

Choose exam board for KS4 Biology

Choose exam board for KS4 Chemistry

Choose exam board for KS4 Combined science

Choose exam board for KS4 Computer Science (GCSE)

Choose exam board for KS4 English

Choose exam board for KS4 French

Choose exam board for KS4 Geography

Choose exam board for KS4 German

Choose exam board for KS4 History

Choose tier for KS4 Maths

Choose exam board for KS4 Music

Choose exam board for KS4 Physical education (GCSE)

Choose exam board for KS4 Physics

Choose exam board for KS4 Religious education (GCSE)

Choose exam board for KS4 Spanish

Algebraic fractions

Choose a lesson (8)