Year 7 - Maths
Securing understanding of expressions and equations
Expressions and equations
Study Hub
Study Guides
This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit, pupils learn about generalisation and formal algebraic manipulation techniques such as substitution, collecting like terms and factorising.
Lesson Summary
You will learn to manipulate a simple equation using a bar model.
Key Notes
- Calculations can be evaluated by following the standard order of operations for 4 operations.
- Calculations including exponents and brackets can be evaluated following the standard order of operations.
- A bar model can be used to represent an equation.
- A bar model can be used to find unknowns in a simple equation.
Vocabulary To Learn
- Equation: An equation is used to show that one number or calculation is equal to another.
- Exponent: An exponent is a number positioned above and to the right of a base value. It indicates repeated multiplication.
- Commutative: An operation is commutative if the values it is operating on can be written in either order without changing the calculation.
Common Mistakes To Avoid
- Pupils think division has to be calculated before multiplication and addition before subtraction.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Calculations can be evaluated by following the standard order of operations for 4 operations. Calculations including exponents and brackets can be evaluated following the standard order of operations.
2. Use this key word in a maths sentence and explain it clearly. 'Equation'
An equation is used to show that one number or calculation is equal to another. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils think division has to be calculated before multiplication and addition before subtraction. Correction: Show pupils different ways of working out the same calculation that gives the same answer.
More Lessons In This Unit
- Algebraic notation Study Guide
- Algebraic terminology Study Guide
- Checking understanding of expressions and equations Study Guide
- Factorising expressions Study Guide
- Generalised algebraic statements Study Guide
- Highest common factor with algebraic terms Study Guide
- Like terms Study Guide
- Multiplying an expression by a constant Study Guide
- Multiplying an expression by a term Study Guide
- Multiplying and simplifying with multiple expressions Study Guide
- Problem solving with expressions and equations Study Guide
- Representing a generalised number Study Guide
- Representing an unknown or variable Study Guide
- Simplifying before multiplying with multiple expressions Study Guide
- Simplifying by collecting like terms Study Guide
- Substituting particular values Study Guide
Browse all guides in the Year 7 Maths guide library.