Generalised algebraic statements | Maths | Quizalize & Oak National Academy

Starter quiz

Here is a pattern using lines to make triangles. How many lines are needed to make the fourth pattern?

'9' ✓
Here is a pattern using lines to make triangles. Which statement below is the correct relationship between the pattern number and number of triangles?

The pattern number is the same as the number of triangles. ✓

The number of triangles is one more than the pattern number.

The number of triangles is 3 times the pattern number.
A ______ shows the relationship between multiple physical variables in context.

'formula' ✓
Match the expression with the statement.

$7a-4$

⇔

a number multiplied by 7 then minus 4 ✓

$7(a-4)$

⇔

a number minus 4 then multiplied by 7 ✓

$a+7-4$

⇔

a number add 7 then minus 4 ✓

$a(7-4)$

⇔

7 minus 4 then multiplied by a number ✓

$4-7a$

⇔

a number multiplied by 7 then subtracted from 4 ✓
Lucas walks 2 miles to school and 2 miles back each day. He can write an expression for the distance walked each day he goes to school as $4n$ . Which statements are true?

$n$ is a variable. ✓

$n$ is an unknown.

$n$ is the time it takes to get to school.

$n$ is the distance to and from school.

$n$ is the number of days he goes to school. ✓
The cost of a pay as you go phone is £24 plus £0.04 per text. A formula for the overall cost to use the phone is given as $0.04\times \text{texts} + 24$ . What is the variable in this formula?

The price to buy the phone

The overall cost of using the phone

The number of texts sent ✓

The texts plus the handset cost

Exit quiz

$s=60m$ is a formula showing the relationship between number of seconds and number of minutes. Which of these are true?

The number of seconds is $60\times$ the number of minutes. ✓

The number of minutes is $60\times$ the number of seconds.

The number of minutes is 60 times bigger than the number of seconds.

The number of seconds is 60 times bigger than the number of minutes. ✓
There are 6 eggs in a box of eggs. Which of these shows the correct relationship where $a$ is the number of eggs and $b$ is the number of boxes?

$a=6b$ ✓

$b=6a$

$b=a+6$

$a=b$
The cost of a taxi is £3.50 plus £1.50 per mile driven. Which is the correct formula for the cost of getting a taxi?

$c=3.5m+1.5$

$c=5m$

$c=(3.5+1.5)$

$c=3.5+1.5m$ ✓
The membership fees for a rugby team are £80 for the year, £3 match fees for every game you play and £2 for each item of kit. For the formula $c=3a+2b+80$ match each value to its description.

a

⇔

number of games played ✓

b

⇔

number of items of kit bought ✓

c

⇔

cost for a year ✓

3a

⇔

cost of match fees ✓

2b

⇔

cost of kit ✓
Here is a pattern using lines to make triangles. Which of these is a formula showing the relationship between number of triangles $(t)$ and number of lines $(l)$ ?

$l=2t+1$ ✓

$l=3t$

$l=t+2$

$l=3t+2$

$l=2t$
Here is a pattern using lines to make triangles. How many lines would be needed to make this pattern with 10 triangles?

'21' ✓

Worksheet

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Lesson Details

Key learning points

Relationships in context can be expressed using letters to represent the unknown values.
Formulae in context can be expressed using letters to represent the unknown values.
Number patterns can be expressed using letters to represent the unknown values.

Common misconception

Pupils may thing that letters represent an item e.g a week equals 7 days so w=7d

Get pupils to identify what value the letter represents e.g the number of days then say a number sentence that describes the relationship.

Keywords

Equation - An equation is used to show that one number or calculation is equal to another.
Expression - Expressions contain one or more terms, where each term is separated by an operator.
Formula - A formula is a rule linking sets of physical variables in context. The plural of formula is formulae.