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Students learn how to form and simplify algebraic expressions involving multiplication, addition, division and subtraction. They use this knowledge to begin solving equations using the balance method.

This unit takes place in Year 7 Term 2 and is followed by Expressions, Equations and Formulae

- Use simple formulae
- Generate and describe linear number sequences
- Express missing number problems algebraically
- Find pairs of numbers that satisfy an equation with two unknowns
- Enumerate possibilities of combinations of two variables.

- An expression can be simplified by collecting like terms. Like terms are those which contain the same letter symbol and equal powers.
- Just as 2 + 2 + 2 can be written as 3 × 2, a + a + a can be written as 3 × a. However, with algebraic notation × and ÷ symbols are not included. 3 × a is written as 3a and 3 ÷ a is written as a fraction 3/a.
- An algebraic expression is a collection of mathematical terms with no stated value.
- Multiplicative relationships such as xy = yx can be used to simplify some expressions.
- The order of operations is used when substituting known values into expressions.

Develop fluency

- Use algebra to generalise the structure of arithmetic, including to formulate mathematical relationships
- Substitute values in expressions, rearrange and simplify expressions, and solve equations

Reason mathematically

- Identify variables and express relations between variables algebraically and graphically

Solve problems

- Develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems
- Select appropriate concepts, methods and techniques to apply to unfamiliar and non-routine problems.

Algebra

- use and interpret algebraic notation, including:
- ab in place of a × b
- 3y in place of y + y + y and 3 × y
- a
^{2}in place of a × a, a^{3}in place of a × a × a; a^{2}b in place of a × a × b - a/b in place of a ÷ b
- coefficients written as fractions rather than decimals

- simplify and manipulate algebraic expressions to maintain equivalence by:
- collecting like terms
- taking out common factors

July 28, 2020

Practical tips and advice for preparing to teach in year group bubbles.

July 22, 2020

Students are challenged to apply the rules of arithmetic to a series of real-life, functional problems.

July 20, 2020

As we approach the start of the next term I thought I would share some tips on behaviour management in a mathematics lesson. These are things that I have picked up over the years and have worked well for me. I am sure there are opposing viewpoints and you may find some of these tips […]