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MCATPACK - Achievement Criteria and Guidelines

Achievement Standard 91027

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

Level 1  |   Credits  4  |  Assessment  External

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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1. 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.
Can Impact help?

We can help!  We have 3 Collections specifically designed to reduce any anxiety you may feel OR extend your knowledge to the level you want to achieve.

Here’s what they are all about;

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Algebra without Anxiety – MCAT 1- Achievement level

• Finding substitution solutions
• What is a formula?, Changing the subject
• 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