Chapter 6.1
Recognising number patterns
Spot rules and relationships in everyday sequences.
Chapters
10
Patterns, nth terms, and sequence types.
Time invested
7.5 hrs
Approximate guided learning.
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Chapter 6.2
Term-to-term rules
Describe how to move from one term to the next.
Chapter 6.3
Arithmetic sequences
Work with constant difference patterns and tables.
Chapter 6.4
Finding the nth term (arithmetic)
Derive general formulas using difference tables.
Chapter 6.5
Using the nth term formula
Find distant terms, identify membership, and solve problems.
Chapter 6.6
Geometric sequences
Explore constant ratio growth and decay patterns.
Chapter 6.7
Nth term of geometric sequences
Build formulas for exponential-style progressions.
Chapter 6.8
Fibonacci sequences
Investigate recursive rules and natural pattern links.
Chapter 6.9
Special figurate sequences
Analyse triangular, square, and other figurate numbers.
Chapter 6.10
Intro to quadratic sequences
Use second differences to model sequences involving n^2.
Next steps
Loop back to Section 5 equations for extra fluency or continue forward into graphs to visualise algebraic relationships.