Sunday, June 14, 2020

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

Sunday, June 7, 2020

Plan for AS91261 (2.6 ) Apply Algebraic methods in solving problems (External 4credits)

 Plan for AS91261 (2.6 ) Apply Algebraic methods in solving problems (External 4 credits)

This is their fourth topic and will be taught during the last four weeks of term2  according to the year planner. I am going to start Algebra(2.6, External) tomorrow. And with the knowledge, my learners will gain an extra two internal credits As91269 Systems of equations(2.6, internal 2 credits) too.

This topic is a combination of Algebraic skills and contextually based questions Algebra.
I got student input on how to teach this topic and after a discussion with my students. I made the following planning decisions:
Applying SOLO taxonomy, to work on Achievement/Merit/Excellence.
Spending more time on Algebraic skills, Forming equations, hard factorising, Simplifying, and rearranging.
“Do now” questions every day to work on Algebraic skills.
Focusing on the interpretation of questions and keywords. Mrs Latu will assist by translating wordy questions for one of Tongan ESOL students and Dr janni Van Hees will assist in tackling complicated contextual questions.
Using Google calendar to set lessons and Alegra workbook for homework.
Tracking sheet will be used to track their progress.
Continuing my study classes on Wednesdays and Fridays (after school hours.)
 I will give students a Chunk, Chew, Check to retain the knowledge until examinations(November).
At the end of the topic, learners will be sitting a practice test as this is an external topic.
Using the online whiteboard, videos, lots of repetitive practice form past papers, and education perfect to make my online lessons more effective.

Also, I am going to give lots of practice during upcoming holiday break to prapare them for mock examinations next term which decide their derived grade. My holiday class focus will be on expanding brackets,Simplyfing, Solving (Linear/Quadratics),rearranging, logs and past papers.
       Next step: GOSOLO for Algebra(2.6) and Systems of equations(2.14).

























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