Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA6-7
New NZC (2026)
NZC26-P4-ALG-ER-P-Y10-09
Resources
- Dr Austin Maths - Generating Different Types of Sequence Practice GridQuestions PDF · Answers
- Dr Austin Maths - Geometric Sequences Practice GridQuestions PDF · Answers
Terminology
- geometric sequence
- common ratio
- multiplier
- growth
- decay
- table of values
- y-intercept
- horizontal asymptote
Task goals
- Continue a geometric (exponential) sequence and identify its multiplier (common ratio).
- Distinguish exponential sequences from linear or quadratic sequences by testing for a common ratio versus a common difference.
- Complete a table of values for y = b^x and for transformed forms y = a·b^x + c.
- Identify growth (ratio greater than 1) or decay (ratio between 0 and 1) from a table of values or an equation.
- Read the y-intercept and horizontal asymptote directly from an exponential equation, and use them together with growth/decay to describe or compare graphs.
- Derive an exponential rule a·b^x + c from a table of values or from a described starting value and growth/decay factor.
- Solve for an unknown coefficient a in a rule y = a·b^x + c given one point the graph passes through.
Where this fits
What leads into this objective, and where it goes next.
Before
Drawing parabola from given equation
Parabola Factorised Form (a != 1)
Parabolas: Vertical Scale Factor
You are here
Exponential Rules from Tables
Next
Year 10 is the last year of this phase — the curriculum lists nothing after this. No extension resources on the site yet.
Also under NA6-7:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.