To generalise is to formulate a statement or rule that applies correctly to all relevant cases.

Checking understanding of expressions and equations

Maths

Securing understanding of expressions and equations

Representing a generalised number

Algebraic notation

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

A rule that will work for all relevant cases

Which description best explains what is meant by a generalised rule?

True or false: multiplying by 5 then adding 1 is the same as multiplying by 6

Alex is going hiking, he takes 2 toothpaste tablets per day of his trip. Complete the generalised rule: The number of toothpaste tablets he needs is the number of days multiplied by {{}}

The number of bars is the number of days add 3

The number of days is the number of bars multiplied by 3

For each additional day he will need to pack 1 extra bar

The number of bars is 3 lots of the number of days he is hiking

Alex is going hiking, he packs 3 snack bars per day. Select any true statements

finds the amount of bread given the number of sandwiches

finds the amount of cheese given the number of sandwiches

finds the number of olives given the amount of cheese

finds the amount of cheese given the number of olives

finds the amount of bread given the amount of cheese

finds the amount of cheese given the amount of bread

Each sandwich contains 2 slices of bread, 3 slices of cheese and 12 olives. If you are told the number of sandwiches, match each calculation to what it will find. 

Number of squares in one row times 2 subtract 2

Number of squares in one row times 3 subtract 3

Jun is drawing J shape patterns in square grids like the example shown. Which rule best describes how to find the number of shaded squares for any sized pattern?

Match the numbers with the correct statements.

Which calculation represents '6 lots of 5'?

Given that $$21\times 17=357$$ which of the following are true?

Look at the pattern shown. What does the 12 represent in the calculation $$3\times 4=12$$ ?

Look at the pattern shown. What does the 4 represent in the calculation $$3\times 4=12$$ ?

Look at the pattern shown. What does the 3 represent in the calculation $$3\times 4=12$$ ?

Checking understanding of expressions and equations

Lesson outcome