# Setting up and Solving Equations

Scheme of work: Key Stage 3: Year 7: Term 6: Setting up and Solving Equations

#### Prerequisite Knowledge

• use and interpret algebraic notation, including:
• ab in place of a x b
• 3y in place of y + y + y and 3 x y
• a2 in place of a x a, a3 in place of a x a x a; a2b in place of a x a x b
• a/b in place of a x b
• Coefficients are written as fractions rather than decimals
• simplify and manipulate algebraic expressions to maintain equivalence by:
• collecting like terms
• taking out common factors

#### Key Concepts

• Students should use a scale to visualise how it remains balanced when solving equations.
• A secure understanding of the order of operations and inverse operations is needed to keep an equation balanced.
• By solving the equation you find the value of the unknown number.
• When forming equations students often become confused with using brackets.
• An equation can have a positive or negative solution which could be presented as a simplified fraction rather than a decimal.

#### Working Mathematically

• Develop fluency
• Move freely between different numerical, algebraic, graphical and diagrammatic representations [for example, equivalent fractions, fractions and decimals, and equations and graphs]
• Develop algebraic and graphical fluency, including understanding linear and simple quadratic functions.
• Reason mathematically
• Identify variables and express relations between variables algebraically
• Make and test conjectures about patterns and relationships; look for proofs or counter-examples
• Solve problems
• Begin to model situations mathematically and express the results using a range of formal mathematical representations.

#### Subject Content

• Algebra
• Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms and factors
• Use algebraic methods to solve linear equations in one variable (including all forms that require rearrangement)

## Setting up and Solving Equations Resources

### Mr Mathematics Blog

#### Estimating Solutions by Rounding to a Significant Figure

Explore key concepts, FAQs, and applications of estimating solutions for Key Stage 3, GCSE and IGCSE mathematics.

#### Understanding Equivalent Fractions

Explore key concepts, FAQs, and applications of equivalent fractions in Key Stage 3 mathematics.

#### Transforming Graphs Using Function Notation

Guide for teaching how to transform graphs using function notation for A-Level mathematics.