A term is single number or letter, or the product of numbers and/or variables. Each term is separated by the operators + and –

Expressions contain one or more terms, where each term is separated by an operator.

Mathematical conventions are notations or processes generally agreed upon.

Algebraic notation

Maths

Checking understanding of expressions and equations

Securing understanding of expressions and equations

Representing a generalised number

Algebraic terminology

Representing an unknown or variable

Generalised algebraic statements

Substituting particular values

Like terms

Simplifying by collecting like terms

Multiplying an expression by a constant

Multiplying an expression by a term

Multiplying and simplifying with multiple expressions

Simplifying before multiplying with multiple expressions

Highest common factor with algebraic terms

Factorising expressions

Problem solving with expressions and equations

In this unit, pupils formalise algebraic notation and terms and begin to formulate an understanding of basic algebraic manipulation. This understanding is built upon in the future unit where pupils learn how to solve linear equations

In this unit, pupils learnt how to represent the structure of a problem with two unknowns using a diagram. This understanding is built upon in this unit and formalised

In this unit, pupils learn about generalisation and formal algebraic manipulation techniques such as substitution, collecting like terms and factorising.

Expressions and equations

In the equation $$3t-8=10+t$$, $$10+t$$ is called __________.

In the equation $$3t-8=10+t$$, $$3t$$ is called a {{ }}

True- variables can be multiplied in any order 

False- $$dc$$ is not a term as variables have to be written alphabetically

True or false: the terms $$cd$$ and $$dc$$ are the same.

Select any of the options which are the same as $$1\times a$$

Match up the calculation with the simplified expression.

a number multiplied by 9 then 3 is subtracted

9 divided by a number then 3 is subtracted

Match the expression with the description.

Which of the following is the same as $$9+9+9+9$$ ?

Select any calculations which are the same as $$3\times4\times5$$

Which of these is the same as writing $$7\times7\times7$$?

In algebra, letters are used to represent unknowns or {{}}

I think of a number, add 6 then subtract 2 and the answer is 18

I think of a number, add 2 and subtract 6 to get 18

I think of a number, subtract 2 and add 6 then add my original number to get 18

I think of a number, square it, add 6 then subtract 2 to get 18

I add 6 to my number, add 2 to my number and the difference is 18

Select the statement that can be represented by the equation $$a+6-2+a=18$$

Match the directed number calculations with the correct answers.

Algebraic notation

Lesson outcome