# National Strategies Secondary Maths Collection - Algebra Study Units

#### TES Secondary maths resource collections

Collection Author: Craig Barton - Maths AST and creator of www.mrbartonmaths.com (TES Name: mrbartonmaths)

These ten Secondary mathematics algebra study units are intended for teachers who would like to reinforce, confirm and extend their knowledge of teaching algebra in Key Stages 3 and 4. They are suitable for all teachers of mathematics, including supply teachers, trainee teachers and those who would like to return to teaching. They have been designed as guides for use either by an individual teacher working alone or by a group of teachers working together. The main aims of the units are:

• to develop understanding of some important aspects of algebra in the curriculum for Key Stages 3 and 4
• to strengthen planning for progression
• to enrich the teaching and learning of algebra by providing starting points for classroom explorations.

Introduction for teachers

• Introduction for teachers offers an overview of the ten Algebra Study Units and provides tips on how to plan study time.

Unit 1: Using a grid method to multiply expressions

• Using a grid method to multiply expressions is for individual teachers in secondary schools who are considering their teaching of algebra. It discusses ways of using a grid method to help pupils to multiply a single term over brackets and to find the product of two linear expressions.

Unit 2: Transforming expressions and equations

• Transforming expressions and equations is for individual teachers or groups of teachers in secondary schools who are considering their teaching of algebra. It discusses ways of helping pupils to form equivalent expressions through ‘clouding the picture’ activities.

Unit 3: Constructing expressions and equations

• Constructing expressions and equations is for individual teachers or groups of teachers in secondary schools who are considering their teaching of algebra. It discusses some helpful ways of teaching pupils to construct algebraic expressions, equations and formulae, starting from numerical examples and building up to algebraic examples.

Unit 4: Rearranging equations and formulae

• Rearranging equations and formulae is for individual teachers or groups of teachers in secondary schools who are considering their teaching of algebra. It discusses ways of using arithmetic to introduce algebraic ideas, specifically of using pupils’ understanding of the laws of arithmetic and inverse operations to help them to rearrange equations and formulae.

Unit 5: Collecting like terms

• Collecting like terms is for individual teachers or groups of teachers in secondary schools who are considering their teaching of algebra. It discusses some stimulating activities to help pupils to practise collecting like terms.

Unit 6: Applying skills in the context of ‘Pyramids’

• Applying skills in the context of ‘Pyramids’ is for individual teachers or groups of teachers in secondary schools who are considering their teaching of algebra. It explores how pupils can use and apply their algebraic skills in the context of ‘pyramid puzzles’.

Unit 7: Using algebraic reasoning

• Using algebraic reasoning is for individual teachers or groups of teachers in secondary schools who are considering their teaching of algebra. It discusses ways of using magic squares and addition grids to help pupils to apply algebraic reasoning and for pupils working confidently at level 5 or above, to prove their results.

Unit 8: Generalising from patterns and sequences

• Generalising from patterns and sequences is for teachers or groups of teachers in secondary schools who are considering their teaching of algebra. It examines some ways of using patterns and sequences to help pupils to generalise.

Unit 9: Linking sequences, functions and graphs

• Linking sequences, functions and graphs is for individual teachers or groups of teachers in secondary schools who are considering their teaching of algebra. It discusses some stimulating activities to help pupils to link sequences, functions and graphs.

Unit 10: Classroom approaches to algebra

• Classroom approaches to algebra is for individual teachers or groups of teachers in secondary schools who have been considering their teaching of algebra. It discusses ways of approaching the teaching of algebra in the classroom.