GO SOLO AS91261 (2.6 ) Algebra

GO SOLO AS91261 (2.6 ) Algebra
I found Solo very  useful to plan and teach, here is the breakdown


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 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 134x-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.
Next topic: Reflection on Trigonometry