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# 2.6 Algebra Methods AS91261

### For Teachers

AS 2.6 Algebra Methods AS91261 is a 4 credit externally assessed standard.

Achievement Standard 2.6 Algebra continues from level 1 with more complex simplifying and solving equations. Several new concepts are introduced: the Quadratic formula, Surds, Logarithms and using logarithms to solve exponential equations.

* Be familiar with the Achievement Standard 2.6 #91261 (link to NZQA)

* Look over the NZQA Exemplars on AS 2.6 Graphs

Mathematics and Statistics 91261 (2.6) Apply algebraic methods in solving problems
91261 Sample Exam Paper 91261 Sample Assessment Schedule 91261 Annotated Exemplars: Excellence 91261 Annotated Exemplars: Merit 91261 Annotated Exemplars: Achievement 91261 Annotated Exemplars: Not Achieved

* Material available on the mathstatsfacilitators web site 2.6 page

* NZQA Assessment report 2012 (pdf)

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

* AS 2.6 section on Nayland Web site updated: May 2013

### Possible Lesson Sequence for 2.6 Algebra Methods AS91261

Formal Inference STARTERS | web version

1. Introduction, review of Algebra Basics: collecting terms, multiplying, dividing, brackets.
2. Expanding Quadratics & Cubic's & simplifying.
3. Factorising Review: single brackets & basic quadratics.
4. Factorising: Two stage, difference between squares.
5. Factorise with harder coefficients.
6. Simplify fractions by factorising & canceling (and mixed expanding & Factorising review)
7. Exponents.
8. Exponents & roots.
9. Review or material to date.
10. Changing the subject of a formula
11. More practice rearranging
12. Logarithms: Introduction & converting to index form.
13. Log rules.
14. Logarithms: Solving Index Equations.
15. Algebraic Fractions, add, multiply, divide.
16. Linear Equations.
17. Linear In-equations.
22. Nature of roots (Excellence)
23. Practice Assessment.
24. Revision.
25 Assessment. (practice for end of year)