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# 90284 Manipulate algeraic expressions and solve equations - NZQA

By Carolyn Kennedy,2014-11-08 07:05
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90284 Manipulate algeraic expressions and solve equations - NZQA

Number Version Page 1 of 3 AS90284 3

Achievement Standard

Subject Reference Mathematics 2.1

Title Manipulate algebraic expressions and solve equations Level Credits Assessment 2 4 External Subfield Mathematics

Domain Algebra

Status Status date Expiring 17 November 2011 This achievement standard is expiring. Assessment against the standard must take

place before the expiry date set out below.

Expiry date Date version published 31 December 2011 17 November 2011

This achievement standard requires the manipulation of algebraic expressions and the

solution of equations.

Achievement Criteria

Achievement Criteria Explanatory Notes

Manipulate algebraic Assessment of manipulation will be based on a

expressions. selection from:

expanding brackets up to 3 factors

using fractional and negative indices

using elementary properties of logarithms

simplifying rational expressions.

Solve equations. Assessment of solving equations will be based on a

selection from:

multi-step linear equations or inequations

3(2x5)5x;7eg Achievement

quadratics that can be factorised 22x11x21eg

simple logarithmic equations

x325eg log252,x

forming and solving linear/linear simultaneous

equations.

New Zealand Qualifications Authority 2013

Number Version Page 2 of 3 AS90284 3

Achievement Criteria Explanatory Notes

Solve problems Assessment will be based on a selection from:

formula

linear/non-linear simultaneous equations 4x-5 exponential eg 13 = 6.

Non-linear equations may be given as appropriate to

the complexity of the problem. Achievement

Students will be expected to solve problems in with Merit

context.

Choose algebraic When solving a problem the student may be required

techniques and to:

strategies to solve interpret the solution

problem(s). explore the nature of the roots of a quadratic

complete a multi-step algebraic manipulation

complete an algebraic proof. Achievement

with Excellence

General Explanatory Notes

1 This achievement standard is derived from Mathematics in the New Zealand

Curriculum, Learning Media, Ministry of Education, 1992:

achievement objectives p. 158

suggested learning experiences p. 159

sample assessment activities pp. 160-161

mathematical processes p. 26.

2 The use of the Factor/Remainder Theorem will not be assessed.

3 An algebraic proof will involve a multi-step manipulation of a given algebraic

statement to generate another given expression.

4 For this standard the problems may be set in a mathematical context.

Replacement Information

This achievement standard, AS90806, AS90809, and unit standard 5246 have been

replaced by AS91261 and AS91269.

New Zealand Qualifications Authority 2013

Number Version Page 3 of 3 AS90284 3

Quality Assurance

1 Providers and Industry Training Organisations must have been granted consent to

assess by NZQA before they can register credits from assessment against

achievement standards.

2 Organisations with consent to assess and Industry Training Organisations assessing

against achievement standards must engage with the moderation system that applies

to those achievement standards.

Consent and Moderation Requirements (CMR) reference 0226

New Zealand Qualifications Authority 2013

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