Checking understanding of algebraic notation
I can represent situations using algebra.
Checking understanding of algebraic notation
I can represent situations using algebra.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Missing numbers can be found in context.
- Missing number problems can be expressed algebraically.
- Pairs of numbers that satisfy an equation with two unknowns can be found.
- Real life situations can be expressed using algebra.
Keywords
Integer - An integer is any positive or negative whole number or zero
Expression - An expression contains one or more terms, where each term is separated by an operator.
Equation - An equation is used to show 2 expressions that are equal to each other.
Common misconception
When converting English to algebra, pupils can mix up 4x + 2 and 4(x + 2)
Reviewing priority of operations and expanding brackets may be helpful. The multiplier operates on all terms in the bracket.
To help you plan your year 8 maths lesson on: Checking understanding of algebraic notation, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Checking understanding of algebraic notation, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 3 maths lessons from the Solving linear equations unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Starter quiz
6 Questions

$$5 + 3\times 2 + 1$$ -
12
$$(5 + 3)\times 2 + 1$$ -
17
$$(5 + 3)\times (2 + 1)$$ -
16
$$5 + 3\times (2 + 1)$$ -
14
$${10-4\over 2} + 1$$ -
4
$$10-{4\over 2} + 1$$ -
9
$$10-4\over 2 + 1$$ -
2
$$10-{4\over 2 + 1}$$ -
$$26\over 3$$
Exit quiz
6 Questions





$$-{x\over 4}$$ -
$$-{1\over 4} x$$
$$4x\over- 5$$ -
$$-{4\over 5} x$$
$$-5x\over 4$$ -
$$-{5\over 4} x$$
$$-x\over -4$$ -
$${1\over 4} x$$
$$-10x\over -8x$$ -
$$\frac{5}{4}$$
$$3b - 7$$ -
a number multiplied by 3 then subtract 7
$$3(b - 7)$$ -
a number subtract 7 then multiplied by 3
$$b - 7 \times 3$$ -
a number subtract the product of 7 and 3
$$7 - 3b$$ -
a number multiplied by 3 then subtracted from 7
$$3(7 - b)$$ -
a number subtracted from 7 then multiplied by 3