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, nonlinear, 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 


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, NonLinear, 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)? 