WGU AUA2: Graphing, Proportional Reasoning and Equations/Inequalities
WGU AUA2, Graphing, Proportional Reasoning and Equations/Inequalities, is a 4 competency unit performance assessment in WGU's MA Mathematics Education (K-6) program: no proctored exam, just a portfolio of prompt responses and an original lesson plan for each mathematics module. This independent guide covers the three module strands, a realistic production plan, the mistakes that send work back, and a readiness checklist.
What Kind of Course AUA2 Actually Is
If you are looking up WGU AUA2, Graphing, Proportional Reasoning and Equations/Inequalities, you are working through WGU's Master of Arts in Mathematics Education (K-6) — the course does not appear in the middle-grades or secondary mathematics education programs. It carries 4 competency units and sits in the first term of the standard path, next to Number Sense and Functions. The most useful thing to know before you open it: this is not a proctored exam. WGU describes it as a performance-based assessment evaluating a portfolio of your work — responses to various prompts plus an original lesson plan for each of the course's mathematics modules. An evaluator reads your professional judgment; there is no answer key to reverse-engineer.
Direct answer: You pass AUA2 by submitting a complete portfolio, not by cramming. Work one module at a time, answer every prompt in its own clearly labeled section using the prompt's own wording as your heading, and attach an original, standards-aligned lesson plan with the full standard code and text written out. Work that comes back is almost always missing a required piece or answering half a prompt — not failing at the mathematics.
Two pieces of program context matter. The MA in Mathematics Education (K-6) is built for already-licensed teachers, and WGU's guidebook states plainly that the program does not lead to state licensure — you are here to deepen teaching skill, not earn a credential. And the degree includes a Mathematics (K-6) Portfolio Oral Defense, a formal presentation walking through a teacher work sample portfolio. Writing lesson plans you could defend out loud is a habit worth starting now.
As for why this content sits in a K-6 degree: graphing, ratios and early algebraic reasoning are exactly where elementary students quietly lose the thread. A child who plots a point but cannot say what the ordered pair means, or who cross-multiplies with no sense of what a rate is, hits a wall in middle school. AUA2 asks whether you can see those breakdowns coming and design instruction that heads them off.
The Three Strands the Portfolio Is Built Around
WGU's published competencies come in two halves that repeat across three mathematical areas. First you demonstrate the mathematics yourself; then you analyze, critique, modify, develop and evaluate instruction in it. Each area gets its own original lesson plan.
| Module strand | Mathematics you demonstrate | Instructional work you produce |
|---|---|---|
| Coordinate pairs and graphing | Ordered pairs; graphing points and lines in the Cartesian coordinate system, including slope, intercepts, quadrants, vertical and horizontal lines, and functions | Responses on graphing strategies, student errors and prerequisite skills, plus a lesson plan teaching graphing at a named grade level |
| Ratios and proportional reasoning | Ratios, proportions and rates, used to model and solve both non-algebraic and algebraic problems | Critique of ratio instruction, common misunderstandings, prerequisite skills, and an original lesson plan on proportional reasoning |
| Equations and inequalities | Solving linear equations, quadratic equations and linear inequalities, and using them to model and solve problems | The same analyze-critique-modify-develop-evaluate treatment, plus a lesson plan using age-appropriate representations |
Notice that verb chain, and the two requirements attached to every strand: identify common student errors and misunderstandings, and determine the prerequisite skills a learner needs before a given activity will work. A response that describes what you would do without naming the misconception it targets or the prerequisites it assumes has answered half the prompt.
One detail surprises people: the equations competency explicitly includes quadratic equations, which no K-6 student will meet. That is content knowledge for you as the teacher — evidence you understand where the arithmetic you teach eventually leads — not an invitation to teach factoring to fourth graders. Keep the lesson plans grade-appropriate even where the competency runs ahead of the classroom.
You may also find the performance assessment listed in your portal under an assessment code different from the course code — that is normal at WGU. The task instructions inside your current course of study are the authoritative deliverable list, and they are revised over time, so build from those.
How Hard AUA2 Is, and How to Budget the Time
The mathematics is rarely what stops people here. If you have taught elementary or middle grades, you can already plot a point and solve a linear equation. The demanding part is writing discipline: several polished pieces of work, each judged against its own rubric, without sliding into generalities. We rate AUA2 Medium — not conceptually hard, but genuinely long.
Plan a multi-week effort rather than a weekend: one focused session per module for the written responses, one more for that module's lesson plan, and a final revision pass across the portfolio. The lesson plans absorb the most time, because an original plan with aligned objectives, assessment and differentiation is slower to build than prose answers. And since AUA2 is a 4 CU course scheduled in your first term next to another portfolio course, starting it early rather than saving it is the best scheduling decision available.
Plan emotionally for a revision request. WGU's evaluators review work anonymously and return instructional feedback when it needs more — the system working as designed. Read that feedback literally, fix exactly what is named, resubmit.
A Production Plan That Fits Around a Teaching Job
Because there is no exam, your study plan is really a production plan. This sequence works.
- Read the whole task before writing a word. Print the prompts and mark every verb: explain, analyze, describe, justify. Each verb is something the evaluator will look for. Build your document headings directly from them.
- Pick your grade band and standards first. Choose a specific grade level and pull the actual standards for graphing, ratios and equations from the document your state uses. Write out the full code and full text — vague gestures at "the standards" are a common reason work comes back.
- Do a misconception inventory. Before drafting each lesson, list three errors real students make — reversing the coordinates in an ordered pair, treating a ratio as a difference rather than a multiplicative comparison, "doing the same thing to both sides" with no sense of balance. Those become the backbone of your analysis sections.
- Draft on the required template. Fill every field. Make the objective measurable, make the formative assessment measure it, and make differentiation specific to a named learner need.
- Space the revision. Leave a day between drafting and editing, then reread each response beside its prompt and ask, "does this literally answer the question asked?"
- Keep it original. Every word and every lesson design must be yours, with sources cited — including the standards documents you quote.
Two other courses on the same standard path are worth previewing: C277 Finite Mathematics, the most content-heavy course on the path, and C635 MA, Mathematics Education (K-6) Capstone, the research project the degree builds toward. For the misconception-first mindset AUA2 rewards, D693 Elementary Mathematics Methods and Interventions covers similar ground from the methods side.
Where AUA2 Portfolios Usually Come Back
- Answering the topic instead of the prompt. A perfectly nice essay about proportional reasoning that never names the prerequisite skills the prompt asked for.
- Standards cited loosely. Naming a grade level or strand without the specific code and text, or picking a standard that does not match the lesson objective.
- A lesson plan that is not original. Adapting something found online, even heavily, puts your submission at risk. Build it yourself.
- Objective and assessment that do not line up. The objective says students will explain a proportional relationship; the exit ticket asks them to compute one.
- Generic differentiation. "I will provide extra support" is not a plan. Name the learner need and the specific accommodation.
- Content slips in the algebra strand. Confusing slope with intercept, mislabeling a quadrant, or flipping an inequality the wrong way — small errors, large credibility cost in a mathematics education course.
- Missing sections. A four-part prompt with three answers comes back, no matter how good the three are.
AUA2 Readiness Checklist
- Can you plot points in all four quadrants and explain, in language a child would understand, what each coordinate represents?
- Can you identify slope and both intercepts from an equation, a table and a graph, and say what makes a line vertical or horizontal?
- Can you explain the difference between a ratio, a rate and a proportion, with a classroom example of each?
- Can you name three common misconceptions in proportional reasoning and an instructional move that addresses each?
- Can you solve linear equations, quadratic equations and linear inequalities cleanly, and explain why an inequality flips when you multiply by a negative?
- Have you written the full code and full text of every standard you cite, and confirmed it matches your grade level?
- Does each lesson plan have a measurable objective, an aligned assessment, and differentiation tied to a named learner need?
- Have you reread every prompt beside your response and confirmed each required part is answered explicitly?
- Is every word and every lesson design your own, with sources cited?
AUA2 FAQ
Is AUA2 an objective assessment or a performance assessment?
A performance assessment. WGU describes it as a performance-based assessment evaluating a portfolio containing your responses to various prompts and an original lesson plan for each mathematics module. There is no proctored exam to schedule.
How many competency units is AUA2, and when do students take it?
Four competency units. WGU's standard path places it in the first term alongside Number Sense and Functions, also 4 CUs. Your own degree plan may differ, so confirm the sequence with your program mentor.
Which program is AUA2 part of?
WGU's Master of Arts in Mathematics Education (K-6), where it appears with Number Sense and Functions, Geometry and Statistics, Finite Mathematics, the Portfolio Oral Defense, the research sequence and the capstone. It is not in the middle-grades or secondary mathematics education master's programs. Check the current list on the official WGU program page.
How many lesson plans do I have to write?
Expect one original lesson plan per mathematics module, and the course title names three: coordinate pairs and graphing, ratios and proportional reasoning, and equations and inequalities. Confirm the exact deliverable list against the task instructions in your course of study, since those documents are revised over time.
What happens if my submission is returned?
You revise and resubmit. WGU's evaluators review performance assessments anonymously and provide instructional feedback when work does not yet meet the standard, so treat the comments as a checklist of what to add.
How do I study for a course with no exam?
Shift from studying to producing. Refresh the mathematics with practice problems and self-quizzing, then spend the bulk of your hours drafting, spacing out revision, and checking each response against its prompt. Browse related School of Education guides or the full WGU course guide index to see how other portfolio courses are structured.
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