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# AS1.3 Relationships: Tables, Equations, Graphs

### Lesson Sequence for AS1.3 Tables Equations Graphs (AS91028)

***Students print this: AS1.3 patterns & graphs booklet with lesson sequenceexample problemsQR code links to video explanations & web pages***

STARTERS | web version or single file web version (IE of firefox best)

1. Overview and Achievement Criteria
2. Linear overview and linear equations from patterns
4. Linear graphs - gradient/intercept method
5. Sketching practicewriting equationstranslating & reflecting
6. Linear graphs - intercept/intercept method
8. Rates of changestep functions
9. Linear applications & modelling
10. Linear applications & modelling
12. Basic parabola and plotting
13. Parabola translation (Vertex form)
14. Parabola stretch
15. Forming equations
16. Sketching parabolas from factorised quadratics
17. Parabola applications & modelling
18. Parabola transformations & excellence
19. Exponential overview and finding an exponential function from a pattern
20. Exponential graphs & applications
21. Exponential graphs & applications
22. Revision
23. Revision
24. Assessment

Desmos graphing software fantastic!!!

### For Teachers

* Be familiar with the Achievement Standard 1.3 #91028 (link to NZQA)

* Check the latest information on the NZQA Assessment Report (pdf) 2012 (or check the summary on the revision page)

* Any further ideas / suggestions / resources/ comments / erors. Please email maxr@nayland.school.nz

* AS 1.3 section on Nayland Website updated: June 2013

### AS1.3 Relationships, tables, graphs, equations 4 Credit External AS91028

Summary:

Substitution, linear patterns, quadratic patterns, exponential patterns (new), linear graphs, graphs from equations, simultaneous equations, optimal solutions with one and two variables, parabola graphs, exponential graphs. (new)

• Find optimal solutions, using numerical approaches.

• Solve linear equations and inequations, quadratic and simple exponential equation, sand simultaneous equations with two unknowns.

• Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns.

• Relate rate of change to the gradient of a graph.