- Year 8
Checking understanding of algebraic notation
I can represent situations using algebra.
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.
Licence
Prior knowledge starter quiz
6 Questions
Q1.Here is a number line with two numbers shown. What calculation will work out the length of the arrow?

Q2.Which calculation represents a half of 8?
Q3.Which of these are integers?
Q4.A bag of sweets costs 5 p, which of these could represent the cost of buying any number of bags of sweets?
Q5.Match each calculation to its answer.
$$5 + 3\times 2 + 1$$ -Â 12
$$(5 + 3)\times 2 + 1$$ -Â 17
$$(5 + 3)\times (2 + 1)$$ -Â 16
$$5 + 3\times (2 + 1)$$ -Â 14
Q6.Match each calculation to its answer.
$${10-4\over 2} + 1$$ -Â 4
$$10-{4\over 2} + 1$$ -Â 9
$$10-4\over 2 + 1$$ -Â 2
$$10-{4\over 2 + 1}$$ -Â $$26\over 3$$
Assessment exit quiz
6 Questions
Q1.Which equations are represented by this bar model?

Q2.Which diagram could represent a rectangle that has a length 3 times its width?




Q3.Match up equivalent terms.
$$-{x\over 4}$$ -Â $$-{1\over 4} x$$
$$4x\over- 5$$ -Â $$-{4\over 5} x$$
$$-5x\over 4$$ -Â $$-{5\over 4} x$$
$$-x\over -4$$ -Â $${1\over 4} x$$
$$-10x\over -8x$$ -Â $$\frac{5}{4}$$
Q4.Match each expressions to its description.
$$3b - 7$$ -Â a number multiplied by 3 then subtract 7
$$3(b - 7)$$ -Â a number subtract 7 then multiplied by 3
$$b - 7 \times 3$$ -Â a number subtract the product of 7 and 3
$$7 - 3b$$ -Â a number multiplied by 3 then subtracted from 7
$$3(7 - b)$$ -Â a number subtracted from 7 then multiplied by 3