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NZAMT NZQA NZ Grapher NZ Maths Census at School Study It

1.3 HOME | Achievement Criteria | Overview & Context
Linear Overview | Find Functions | Plotting Graphs | Sketching Graphs | Apps & Modelling
Quadratics Overview | Find Function | Plotting Graphs | Sketching Graphs | Apps & Modelling | Transform
Exponential Overview | Patterns, Functions & Graphs | Transformations
Revision

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
3. Gradient
4. Linear graphs - gradient/intercept method
5. Sketching practicewriting equationstranslating & reflecting
6. Linear graphs - intercept/intercept method
7. Finding gradienttranslating & reflecting
8. Rates of changestep functions
9. Linear applications & modelling
10. Linear applications & modelling
11. Quadratic overviewand quadratic patterns
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!!!

Resources

Studypass work booklets

D&D Resources

Gamma Maths

NuLake EAS 1.3

 

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)

* Check the latest comments on the NZmaths forum (login required)

* 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.

 

 

 

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