# 1.2 Algebraic Methods Home AS91027

### For Teachers

* Be familiar with the Achievement Standard 1.2 #91027 (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 1.2 section on Nayland Website updated: June 2013

##### Summary: 91027 Algebraic Methods, 4 Credit External Assessment (CAT)

Simplifying, expanding, exponents, substitution, factorising, rearranging, solving lnear equations and inequations, quadratic equations, exponential equations, simultaneous equations, fractions.

### NO calculator / technology use in the assessment!

• Generalise the properties of operations with fractional numbers and integers.

• Generalise the properties of operations with rational numbers including the properties of exponents.

• Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns. Word doc 07/03 Gamma 'Aiming for excellence' Homework Book (David Barton), Gamma Text Book (David Barton) 2004 edition and 2010 edition, Gamma Fundamentals 2010, Web link Power point

### Approximate Lesson sequence

Achievement Criteria Algebra STARTERS
or link to Jennifer Ingram's Wiki and linkk to 1.2 powerpoint

1

2

Substitution

3

Collect Like terms

4

Simplify by Multiplying or Dividing

5

Exponents & Roots

6

BEDMAS and Algebra

7

Algebra Fractions - Multiply & Divide

8

Algebra Fractions - Add & Subtract

9

Expanding Brackets

10

More Expanding

11

Factorising Brackets

12

More factorising

13

Harder factorising

14

Solving Linear Equations

15

Solving Equations with Brackets

16

Solving Equations with Fractions

17

18

Solving Harder Quadratic Equations

19

20

Exponential Equations

21

Simultaneous Equations

22

Simultaneous with Scaling

23

Simultaneous with Substitution

24

Simultaneous Applications

25

Inequalities

26

Simplifying with factorising

27

Rearranging

28

Revision A

29

Revision B

30

Assessment