Algebraic notation
I can use the particular conventions of algebraic notation and understand that following these aids clear communication.
- Year 7
Algebraic notation
I can use the particular conventions of algebraic notation and understand that following these aids clear communication.
Lesson details
Key learning points
- Expressions involving repeated addition can be written more simply.
- Expressions involving multiplication can be written more simply using algebra conventions.
- Expressions involving algebraic terms can be written in index form.
- Some conventions make it more simple to read expressions.
Keywords
Term - A term is single number or letter, or the product of numbers and/or variables. Each term is separated by the operators + and –
Expression - Expressions contain one or more terms, where each term is separated by an operator.
Conventions - Mathematical conventions are notations or processes generally agreed upon.
Common misconception
Pupils may write a3 instead of 3a to represent multiplication of a and 3.
Use algebra tiles to show a x 3 gives 3 lots of a. Highlight that conventions make mathematics clearer to read and avoids miscommunication.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Which of the following is the same as $$9+9+9+9$$ ?
Q2.Select any calculations which are the same as $$3\times4\times5$$
Q3.Which of these is the same as writing $$7\times7\times7$$?
Q4.In algebra, letters are used to represent unknowns or
Q5.Select the statement that can be represented by the equation $$a+6-2+a=18$$
Q6.Match the directed number calculations with the correct answers.
$$12+-5$$ -Â 7
$$-12+-5$$ -Â -17
$$-12+5$$ -Â -7
$$12--5$$ -Â 17
Assessment exit quiz
6 Questions
Q1.In the equation $$3t-8=10+t$$, $$10+t$$ is called __________.
Q2.In the equation $$3t-8=10+t$$, $$3t$$ is called a
Q3.True or false: the terms $$cd$$ and $$dc$$ are the same.
Q4.Select any of the options which are the same as $$1\times a$$
Q5.Match up the calculation with the simplified expression.
$$r+r+r$$ -Â $$3r$$
$$r+r+r-r$$ -Â $$2r$$
$$r\times4$$ -Â $$4r$$
$$r\times r\times r $$ -Â $$r^3$$
$$r\times r\times r\times r$$ -Â $$r^4$$
$$r+r-r+r+r-r-r$$ -Â $$r$$
Q6.Match the expression with the description.
$$9a-3$$ -Â a number multiplied by 9 then 3 is subtracted
$$9(a-3)$$ -Â a number minus 3 then multiplied by 9
$$9\over a-3$$ -Â 9 divided by 3 less than a number
$${9\over a} -3 $$ -Â 9 divided by a number then 3 is subtracted
$$9a^3$$ -Â a number cubed then multiplied by 9
$$(9a)^3$$ -Â a number multiplied by 9 then cubed
