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Students learn how to recognise and describe a number and picture sequence using a term-to-term and position-to-term rule. As learning progresses they find the nth term of a sequence and begin to plot sequences on a grid.

This unit takes place in Term 4 of Year 7 and is followed by Functions, Graphs and Equations.

- 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

- A sequence or number pattern is an ordered set of numbers or diagrams that follow a rule.
- A term is a number or diagram in a sequence.
- A sequence can be described on a term-to-term basis or position to term.
- A formula can be used to calculate the term of a sequence when given its position number. n is often used to represent the position number for any term of the sequence.
- Linear sequences will appear as straight lines when drawn as a graph.

Develop fluency

- Select and use appropriate calculation strategies to solve increasingly complex problems
- Develop algebraic and graphical fluency, including understanding linear functions

Reason mathematically

- Identify variables and express relations between variables algebraically and graphically

Solve problems

- Begin to model situations mathematically and express the results using a range of formal mathematical representations
- Select appropriate concepts, methods and techniques to apply to unfamiliar and non-routine problems.

Algebra

- Substitute numerical values into formulae and expressions, including scientific formulae
- Understand and use standard mathematical formulae
- Recognise, sketch and produce graphs of linear functions of one variable with appropriate scaling, using equations in x and y and the Cartesian plane
- Generate terms of a sequence from either a term-to-term or a position-to-term rule
- Recognise arithmetic sequences and find the nth term
- Recognise geometric sequences and appreciate other sequences that arise.

January 1, 2021

Problem solving lesson on two-way tables and frequency trees.

December 20, 2020

Three typical exam questions to revise on plotting quadratic, cubic and reciprocal graphs.

December 2, 2020

Linking cumulative frequency graphs to ratio, percentages and financial mathematics.