# National Strategies Secondary Maths Collection - Improving Learning in Mathematics: Mostly Algebra

**TES Secondary maths resource collections**

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

Electronic copies of the excellent resources from the Improving Learning in Mathematics, otherwise known as the Standards Units. If you haven’t used these before, they are definitely worth a look, and if you haven’t used them for a while, they are definitely worth a second look! This collection is “Mostly Algebra”

**A1 Interpreting algebraic expressions**

- Activities to help learners of secondary mathematics interpret representations of algebraic expressions and translate between words, symbols, tables and area representations of algebraic expressions.

**A2 Creating and solving equations**

- Activities to help learners of secondary mathematics create and solve their own equations by transforming both sides of an equation while teaching and learning from each other.

**A3 Creating and solving harder equations**

- Activities to enable learners of secondary mathematics to create and solve equations where the unknown appears more than once and to recognise that there may be more than one way of solving such equations.

**A4 Evaluating algebraic expressions**

- Activities to enable learners of secondary mathematics to distinguish between and interpret equations, inequations and identities and to substitute them into algebraic statements.

**A5 Interpreting distance–time graphs with a computer**

- Activities to enable learners of secondary mathematics to interpret linear and non-linear distance–time graphs.

**A6 Interpreting distance–time graphs**

- Activities to enable learners of secondary mathematics to interpret and construct distance–time, including relating speeds to gradients of these graphs and relating accelerations to changes in these speeds.

**A7 Interpreting functions, graphs and tables**

- Activities to enable learners of secondary mathematics to understand the relationship between graphical, algebraic and tabular representations of functions.

**A8 Developing an exam question: Generalising patterns**

- Activities to help learners of secondary mathematics to use past examination papers creatively to explore, identify, and use pattern and symmetry in algebraic contexts, investigating whether a particular case can be generalised further explore.

- Activities to enable learners of secondary mathematics to develop an understanding of linear expressions and equations, make simple conjectures and generalisations and add expressions, ‘collecting like terms’.

**A10 Connecting perpendicular lines**

- Activities to help learners of secondary mathematics identify perpendicular gradients and to identify, from their equations, lines that are perpendicular.

- Activities to enable learners of secondary mathematics to sketch graphs, find linear factors and develop efficient strategies when factorising cubic functions.

**A12 Exploring trigonometrical graphs**

- Activities to give learners of secondary mathematics practice in recognising translations, stretches and reflections of trigonometrical graphs from their equations.

**A13 Simplifying logarithmic expressions**

- Activities to enable learners of secondary mathematics to develop their understanding, and practise using, the laws of logarithms to simplify numerical expressions involving logarithms.

**A14 Exploring equations in parametric form**

- An activity to enable learners of secondary mathematics to find and determine the nature of stationary points when a function is given in parametric form.