MCAT pack - Achievement criteria and guidelines

July 17, 2024

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.

____________________

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;

____________________

Algebra without Anxiety – MCAT 1- Achievement level