Achievement objective NA6-7

Indicators

• Demonstrates understanding of relationships, including linear, quadratic (where neither a nor c are equal to 1), and simple exponential relationships (y=a^f(x) , where f(x) is a linear function) and a is an integer.
• Makes connections between representations such as number patterns, spatial patterns, tables, equations, and graphs.
• Identifies and uses key features including gradient, intercepts, vertex, and symmetry.
• Makes links with solving equations NA6-5 and coordinate geometry GM6-7.
• See key mathematical ideas on NZmaths.

Progression

NA6-7 links to M7-2.

Possible context elaborations

• Matchstick patterns
• Tukutuku patterns
• Simple growth and decay patterns
• Given data in a table about a linear, quadratic or exponential context, find the equation that fits the data. Students could use table of differences, technology, guess and check, or other methods.
• Given a linear, quadratic or exponential graph about a context, find the equation of the graph.
• Sketch the graph of linear, quadratic and exponential equations.
• Find the equation of a line given any two points, or gradient and one point.
• Activity: Forensic formulas
• Activity: 100m sprint times
• Activity: Cell phone pricing plan
• Activity: Straight line pictures
• The fence: Costing a fence
• Matchsticks
• Number pattern investigations
• Sprints: Linear graphs

Assessment for qualifications

NCEA achievement standards at level 1, 2 and 3 have been aligned to the New Zealand Curriculum. Please ensure that you are using the correct version of the standards by going to the NZQA website.

The following achievement standard(s) could assess learning outcomes from this AO:

• AS 91028 Investigate relationships between tables, equations and graphs (1.3)
• AS 91029 Apply linear algebra in solving problems (1.4)

• NCEA on TKI – Mathematics and statistics assessment resources
• NZQA – Mathematics and statistics subject resources

Last updated September 17, 2018

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