Myths about teaching can hold you back
- Year 7
Substituting particular values
I can substitute particular values into a generalised algebraic statement to find a sense of how the value of the expression changes.
- Year 7
Substituting particular values
I can substitute particular values into a generalised algebraic statement to find a sense of how the value of the expression changes.
Lesson details
Key learning points
- Expressions and formulae in context can be evaluated for particular values.
- Changing the value of the letter changes the expression.
- Exploring what values give a particular solution can help understand the expression.
- Expressions may have multiple variables and we can substitute some or all of them for numbers.
Keywords
Substitution - Substitute means to put in place of another. In Algebra, substitution can be used to replace variables with values.
Common misconception
Pupils may struggle with exponents especially which value to square when variables have coefficients
Reminder of priority of operations and the exponent acts on the value it is directly preceded by.
To help you plan your year 7 maths lesson on: Substituting particular values, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Substituting particular values, 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 Expressions and equations unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Calculate $$(-5)^2$$
Q2.Select the correct first step to evaluate $$ 2+3\times 5^2$$
Q3.Evaluate $${12\times 2\over 4}-2$$
Q4.Starting with the first step, put these lines of working in order to show how to evaluate $${25+2\times (2+1)^2\over 10}-4$$
Q5.In the equation $$2a+1=5-3a$$, $$5-3a$$ is called an .
Q6.Match up the directed number calculation with the correct value.
$$(-10)^2$$ -Â
100
$$-10\times 2$$ -Â
-20
$$-10\times -2$$ -Â
20
$$2-10$$ -Â
-8
$$2--10$$ -Â
12
$$-2--10$$ -Â
8
Assessment exit quiz
6 Questions
Q1.To evaluate an expression for a given value of its variable we can the value in place of the variable
Q2.Match up the expressions with their value when $$r=7$$
$$r+50$$ -Â
57
$$r^2$$ -Â
49
$$6r$$ -Â
42
$$r-1$$ -Â
6
$$2r-10$$ -Â
4
$$ r+1\over 4$$ -Â
2
Q3.For what value of $$y$$ does $$3y$$ have the same value as $$y+6$$? $$y=$$
Q4.For which values of $$y$$ is $$y^2-3$$ smaller than $$y$$?
Q5.For the values of $$a, b$$ and $$c$$ shown evaluate the expression $$2ab-c$$
Q6.For the values of $$a, b$$ and $$c$$ shown evaluate the expression $$(2a)^2-bc$$