Topic 1 Year 8 Mathematics

Mathematics
Topic		Sequences
No of lessons		8
When is it happening		Term 1 year 8
What will students learn		In this unit, sequences are derived from the same geometric patterns and other contexts. Students start with the term to term rules, before expressing the position to term rules algebraically. Different types of sequences are explored including linear, non-linear, arithmetic and geometric. Fibonacci sequences are also introduced as well as special sequences of numbers such as triangular and square numbers. Graphical representations of these sequences help draw out the difference in how they behave. Students use the position to term rule and other ways of reasoning to decide if a term is in a sequence or if two sequences share a term.
Key Knowledge that students should know at the end of 'Topic'	This is the knowledge that students will meet for the first time in this topic	Generating terms of a linear sequences Generating terms of a non-linear sequences Identifying different types of linear and non-linear sequences Finding a given term in a linear sequence Developing a rule for finding a term in a linear sequence Generalising the position to term rule for a linear sequence
	This is knowledge that students may have met before but will need to deepen their understanding	Algebraic notation and met sequences in the form of geometric patterns.
Key Skills that students should be able to demonstrate at the end of 'Topic'	This is the skills that students will meet for the first time in this topic	working out difference
	This is skills that students may have met before but will need to develop	Developing a rule for finding a term in a line sequence
Key vocabulary that students should know and understand		Constant difference, Linear differences, Position to term rule, Linear, Non-Linear, Term to term rule
The Big Question		Can you find the nth term for linear sequences?
Key questions that students should be able to answer at the end of the 'Topic'		Can you find the common difference in the sequence and therefore identify missing terms?
		Are you able to find a sequence from the grid?
		Can you find the tracking calculations for both columns and rows?
		Are you able to match tracking calculations to position to term rules?
		Can you successfully identify descending sequences?
		Can you match dot sequences to their position to term rule or their tracking sequence?
		Can you match pattern sequences to their tracking sequences or position to term rule?
		Are you able to find the nth term for linear sequences (including pattern sequences)?