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MCAT pack - Achievement criteria and guidelines

17 July 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.

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Here’s what they are all about; ____________________ 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 ____________________ 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 ____________________ Algebra without Anxiety - Brackets One bracket expansions Factorising with a common factor Expanding 2 brackets, FOIL Factorising quadratics Factorising advanced quadratics ____________________ Go to the Impact Shop to locate these terrific opportunities. https://www.impacttutoring.co.nz/shop/ Code = MCATPACK

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