GO SOLO As91261(2.6) Algebra

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,  2^x = 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 an 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 13^4x-5 = 6.
non-linear equations may be given as appropriate to the complexity of the problem.
Students will be expected to solve problems in context.

Excellence

Extended abstract thinking involves one or more of:

• devising a strategy to investigate a situation
• identifying relevant concepts in the 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.