GTLE Mathematics Specialism study plan

Build a one-page reference sheet mapping each Algebra and Functions subtopic (linear, quadratic, exponential, polynomial, rational, radical, absolute value, systems, inequalities, function notation and transformations) to a worked example you can reproduce from memory.

Solve 30 mixed algebra problems untimed, then classify every error as conceptual, procedural, or careless in an error log.

Draft a 10-item diagnostic quiz on function concepts and write the distractor rationale for each wrong-answer option.

Explain in writing why a common student misconception (for example, distributing over a squared binomial or treating f(x+2) as f(x)+2) occurs and name one instructional move that prevents it.

Derive and justify the quadratic formula, vertex form, and discriminant rules, then use each to answer three applied modeling questions.

Solve 15 multi-step word problems requiring equation construction, and annotate the translation step from context to symbols in each.

Write two full lesson segments (10 minutes each) that use multiple representations (table, graph, symbolic form) for one algebra concept.

Compare two student work samples on the same problem and write feedback comments that target reasoning rather than just correcting the answer.

Produce a concept map linking number systems, operations, properties, ratio and proportion, percent change, and units, marking where each connects to later algebra work.

Solve 25 number and quantity problems under a 75-minute timer, including scientific notation, radicals and rational exponents, and complex numbers.

Design a sequence of three representational tasks (concrete, pictorial, abstract) for one rational-number or proportional-reasoning concept.

Identify and correct three deliberately flawed solution paths involving exponent rules or unit conversion.

Complete a 40-question mixed assessment covering Domains 1 and 2 in 90 minutes and score it against a rubric you write in advance.

Re-teach your three weakest items from that assessment in writing, as you would to a struggling student.

Map every missed item to a specific standard or skill statement and rank the gaps by frequency.

Revise your Week 1 reference sheet to incorporate everything learned so far.

Solve 25 geometry and measurement problems covering similarity, congruence, circle theorems, coordinate geometry, volume and surface area, and the effect of scale factors on length, area, and volume.

Write a proof or justification for two theorems (for example, the Pythagorean theorem or an inscribed-angle relationship) at a level appropriate for secondary students.

Create a task in which students must decide which measurement formula applies and justify the choice.

Diagnose three common geometry misconceptions and describe a physical or dynamic model that addresses each.

Compute and interpret descriptive statistics, including standard deviation and z-scores, and explain what each measure does and does not capture.

Solve 20 probability problems using conditional probability, independence, counting principles, and expected value, showing the sample space or tree for each.

Critique two misleading graphs or statistical claims and write a corrected version of each.

Design a data-collection activity that lets students experience variability and sampling before formalizing the vocabulary.

Solve 15 non-routine problems and write a complete solution for each that states the strategy, justifies each step, and checks the result.

Practice constructing viable arguments: write two responses that evaluate a hypothetical student's reasoning and identify the first invalid step.

Analyze three assessment items for alignment between the stated objective, the task demands, and the scoring rubric.

Write a short rubric that distinguishes procedural accuracy from conceptual understanding and communication.

Take two full-length timed practice assessments across all six domains and record per-domain accuracy for each.

Review every missed item and write a one-sentence rule or reminder that would have prevented the error.

Consolidate all reference sheets and error logs into a single final review document organized by domain.

Simulate one instructional scenario: plan a short lesson, anticipate two student misconceptions, and script your responses to them.