# Reduce overwhelm with MCAT online courses

**Achievement Standard 91027**

**Subject Reference** Mathematics and Statistics 1.2**Title **Apply algebraic procedures in solving problems

Level 1 | Credits 4 | Assessment External

**What’s it all about?**

This achievement standard is derived from Level 6 of The New Zealand Curriculum,

**What’s inside the Assessment?**

*Achievement Criteria*

**Achievement**

• Apply algebraic procedures in solving problems.

**Achievement with Merit**

• Apply algebraic procedures, using relational thinking, in solving problems.

**Achievement with Excellence**

• Apply algebraic procedures, using extended abstract thinking, in solving problems.

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*Apply algebraic procedures involves:*

selecting and using procedures in solving problems

demonstrating knowledge of algebraic concepts and terms

·communicating solutions using appropriate mathematical symbols.

*Relational thinking involves one or more of:*

*selecting and carrying out a logical sequence of steps**connecting different concepts and representations**demonstrating understanding of concepts**forming and using a model;*

and also relating findings to a context, or communicating thinking using appropriate mathematical statements.

*Extended abstract thinking involves one or more of:*

*devising a strategy to investigate or solve a problem**identifying relevant concepts in context**developing a chain of logical reasoning, or proof**forming a generalisation;*

and also using correct mathematical statements, or communicating mathematical insight.

2 . *Problems* are situations that provide opportunities to apply knowledge or understanding of mathematical concepts and procedures and methods. The situation will be set in a real-life or mathematical context.

3. Students need to be familiar with procedures related to:

factorising

expanding

simplifying algebraic expressions involving exponents, such as or

substituting values into formulae

manipulating and simplifying expressions such as or

rearranging formulae such as or

solving linear equations or inequations such as 5x + 12 = 3 - 2x or 3(x - 2) < 7

solving quadratic equations such as (8x + 3)(x - 6) = 0, x2 + 5x – 6 = 0, 3x2 =10x -8 (completing the square and the quadratic formula are not required)

solving simple equations involving exponents such as x3 = 8, 5x=125

solving pairs of simultaneous linear equations with two unknowns.

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A**lgebra without Anxiety – MCAT 1- Achievement level**

Finding substitution solutions

What is a formula?, Changing the subject

Solving quadratic equations

Simplifying fractions formed by quadratic expressions

How to solve linear and quadratic inequations

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**Algebra without Anxiety – MCAT 1- Merit and Excellence level**

Solving equations where the variable is an exponent

Finding area and perimeter when dimensions are algebraic expressions

Solve similtaneous equations using the substitution method

Intersections of non-straight lines, Complicated or unorthodox problems

Unearthing the equations and expressions from word problems

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Algebra without Anxiety – Brackets

One bracket expansions

Factorising with a common factor

Expanding 2 brackets, FOIL

Factorising quadratics

Factorising advanced quadratics

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