Generalised algebraic statements
I can use relationships that have been generalised using algebraic statements.
Generalised algebraic statements
I can use relationships that have been generalised using algebraic statements.
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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.
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.
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.
To help you plan your year 7 maths lesson on: Generalised algebraic statements, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Generalised algebraic statements, 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.
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Explore more key stage 3 maths lessons from the Expressions and equations unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Here is a pattern using lines to make triangles. How many lines are needed to make the fourth pattern?
Q2.Here is a pattern using lines to make triangles. Which statement below is the correct relationship between the pattern number and number of triangles?
Q3.A shows the relationship between multiple physical variables in context.
Q4.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
Q5.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?
Q6.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?
Assessment exit quiz
6 Questions
Q1.$$s=60m$$ is a formula showing the relationship between number of seconds and number of minutes. Which of these are true?
Q2.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?
Q3.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?
Q4.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
Q5.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 $$(l)$$ ?
Q6.Here is a pattern using lines to make triangles. How many lines would be needed to make this pattern with 10 triangles?