Nayland College

Nayland College - Mathematics

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AS 2.6 Algebra Achievement Objectives

Algebra HOME | Achievement Objectives | Simplify | Expanding | Factorising | Indices | Rearrange | Logs | Fractions | Linear Equations | Inequations | Solving Quadratics equations | Quadratic Formula | Revision

Achievement Objectives

Methods include a selection from those related to:

  • manipulating algebraic expressions, including rational expressions
  • manipulating expressions with exponents, including fractional and negative exponents
  • determining the nature of the roots of a quadratic equation
  • solving exponential equations (which may include manipulating logarithms)
  • forming and solving linear and quadratic equations.

 

Achieve

Apply algebraic methods in solving problems:
  • selecting and using methods
  • demonstrating knowledge of algebraic concepts and terms
  • communicating using appropriate representations.

Manipulate algebraic expressions
Expand brackets up to 3 factors
Factorising expressions including quadratics
Use fractional and negative indices   
Change the subject of the formula    
Use elementary properties of logarithms   
Simplify rational expressions.

Solve equations involving.   
Multi-step linear equations or inequations,      eg 3(2x − 5) = 5x + 7
Quadratics that can be factorised      eg 2x2 − 11x = 21    
Polynomials in factorised form   eg 3x2(x − 7)(2x + 6) = 0   
Simple logarithmic and exponential     eg Log2x = 2,  2x = 64   
Forming and solving linear/linear simultaneous equations.

 

Merit

Relational thinking involves one or more of:
  • selecting and carrying out a logical sequence of steps
  • connecting different concepts or representations
  • demonstrating understanding of concepts
  • forming and using a model;

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

Solve problems involving equations. 
Assessment will be based on a selection from:   
- quadratics requiring the use of the quadratic formula   
- linear/non-linear simultaneous equations    
- exponential eg 134x-5 = 6.   N
on-linear equations may be given as appropriate to the complexity of the problem.
Students will be expected to solve problems incontext.

Excellence

Extended abstract thinking involves one or more of:
  • devising a strategy to investigate a situation
  • 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.

Choose algebraic techniques and strategies to solve problems.
Where appropriate, interpretation of a solution will be expected and may involve the nature of the roots of a quadratic.

 

 

 

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