Equality and Equivalence

Term 1 starting in week 5 :: Estimated time: 2 weeks

Understand the meaning of equality
Understand and use fact families, numerically and algebraically
Solve one-step linear equations involving +/— using inverse operations
Solve one-step linear equations involving x/÷ using inverse operations
Understand the meaning of like and unlike terms
Understand the meaning of equivalence
Simplify algebraic expressions by collecting like terms, using the ? symbol

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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.

Algebragons Find the missing expressions in these partly completed algebraic arithmagon puzzles.

Collecting Like Terms Video If you have forgotten what collecting like terms means watch this video for a quick refresher.

Collecting Like Terms Practise your algebraic simplification skills with this self marking exercise.

Equations A series of exercises, in increasing order of difficulty, requiring you to solve linear equations. The exercises are self marking.

eQuation Generator An unlimited supply of linear equations just waiting to be solved. Project for the whole class to see then insert the working in your own style.

Nevertheless Players decide where to place the cards to make an equation with the largest possible solution.

Old Equations Solve these linear equations that appeared in a book called A Graduated Series of Exercises in Elementary Algebra by Rev George Farncomb Wright published in 1857.

Brackets Levels 1 and 2 Learn how to remove brackets from simple algebraic expressions. This video is to help you do the online, self-marking exercise.

Brackets Levels 3 to 5 Learn how to multiply the terms inside a pair of brackets by the term outside. This video is to help you do the online, self-marking exercise.

Brackets Levels 6 to 8 Expand a pair of brackets using the clown's face method. This video is to help you do the online, self-marking exercise.

Brackets Levels 9 and 10 The final video showing how algebraic expressions containing brackets can be simplified.

Brackets Expand algebraic expressions containing brackets and simplify the resulting expression in this self marking exercise.

Algebraic Perimeters Questions about the perimeters and areas of polygons given as algebraic expressions.

Missing Lengths Find the unknown lengths in the given diagrams and learn some algebra at the same time.

Algebra In Action Real life problems adapted from an old Mathematics textbook which can be solved using algebra.

Superfluous Find a strategy to figure out the values of the letters used in these calculations.

Solve To Find Fractions Find the value of the unknown in each of these linear equations. All of the answers are fractions

Algebraic HCF Exercises providing practice finding the highest common factor of algebraic expressions.

Algebraic LCM Exercises providing practice finding the lowest common multiple of algebraic expressions.

Factorising Practise the skills of algebraic factorisation in this structured online self-marking exercise.

Where am I with Algebra? Find out how developed your algebra skills are and then take them to the next level.

Pascal's Triangle Get to know this famous number pattern with some revealing learning activities

Equations with Fractions Video If you have learnt how to solve linear equations the next step is to solve equations with fractions.

Algebraic Fractions A mixture of algebraic fraction calculations and simplifications.

Equations with Fractions Practise solving linear equations that contain fractions in this multi-level exercise.

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

Algebra Pupils begin their study of algebra by investigating number patterns. Later they construct and express in symbolic form and use simple formulae involving one or many operations. They use brackets, indices and other constructs to apply algebra to real word problems. This leads to using algebra as an invaluable tool for solving problems, modelling situations and investigating ideas. If this topic were split into four sub topics they might be: Creating and simplifying expressions; Expanding and factorising expressions; Substituting and using formulae; Solving equations and real life problems; This is a powerful topic and has strong links to other branches of mathematics such as number, geometry and statistics. See also "Number Patterns", "Negative Numbers" and "Simultaneous Equations".

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

Lost Sheep

Which algebraic expression is the odd one out?

2nd Lesson

Mental Maths Quiz

A traditional twenty question mental arithmetic test presented as a PowerPoint presentation.

3rd Lesson

Squared Animals

Separate three rows of three animals using three squares.

4th Lesson

Tindice

How can you put the dice into the tins so that there is an odd number of dice in each tin?

5th Lesson

Arithmagons

This lesson starter requires pupils to find the missing numbers in this partly completed arithmagon puzzle.

6th Lesson

Ticker News

A Think Of A Number problem presented as a news ticker.

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.

White Rose Resources

End of block assessments provide a quick progress check at the end of each block of learning to make sure students have understood the content covered.