Algebra for Secondary Mathematics Teaching at Western Governors University (WGU) is the graduate version in the Master of Arts in Teaching program. It treats algebra as a thread running through the secondary years.
WGU's guide lists four competencies, including designing a vertical alignment plan across multiple secondary algebra courses and implementing task-based instruction. The course is about planning how algebraic ideas develop over time, not just teaching one lesson well.
Course at a Glance
| Item | Details |
|---|---|
| University | Western Governors University (WGU) |
| Course code | D904 |
| Level | Graduate (MAT Mathematics Education, Secondary) |
| Size | 2 competency units in the MAT guide (catalog version 202504) |
| Subject area | Algebra teaching and curriculum |
| Typical work | Vertical alignment plans, task analysis, task-based instruction |
What D904 Covers
| Competency (WGU wording, summarized) | What it means in practice |
|---|---|
| Analyze activities that teach algebra through foundational concepts, misconceptions and appropriate practices and technologies | Judging whether a task builds understanding |
| Apply advanced algebraic methods to the secondary classroom, patterns of change and representations | Covariation and linked representations |
| Design a vertical alignment plan across multiple secondary algebra courses | How ideas grow from one course to the next |
| Implement task-based instructional strategies for hands-on algebra learning | Tasks that explore key concepts |
Key Concepts Explained
Vertical Alignment
Vertical alignment means a concept appears in each course at increasing depth, with later courses building on earlier ones. A plan names the big idea, what students know entering, what is added and what is revisited.
Example: The idea of function. Algebra I: linear and simple exponential functions, tables and graphs. Algebra II: polynomial, rational, logarithmic and transformations of functions. Precalculus: composition, inverses and rates of change. Each stage names a task, such as comparing two pay plans, that returns to the same idea with greater generality.
Task-Based Instruction
A rich task has multiple entry points and strategies. Launch it, monitor student work, then select and sequence student solutions for discussion.
Covariation
Instead of starting from a formula, begin from how two quantities change together. A task about filling differently shaped bottles shows how graph shape reflects rate of change.
Typical Assignments and How to Approach Them
| Task type | What it tests | How to approach it |
|---|---|---|
| Activity analysis | Evaluating algebra tasks | Identify the concept, likely misconception and whether the task addresses it |
| Vertical alignment plan | Curriculum thinking | Map a concept across courses with specific content considerations |
| Task-based lesson | Instruction through exploration | Describe launch, work time and discussion with expected responses |
| Representation connections | Conceptual understanding | Link table, graph, equation and context in one example |
A Vertical Alignment Map
A map keeps the plan specific. Fill one in for a single concept.
| Course | Concept focus | Example task | Needs first |
|---|---|---|---|
| Algebra I | Linear relationships | Compare two phone plans | Ratios, proportions |
| Geometry | Algebra in coordinates | Show a midpoint formula works | Linear equations |
| Algebra II | Nonlinear functions | Model growth with exponentials | Function notation |
| Precalculus | Function behavior | Analyze rates of change | All of the above |
Orchestrating the Discussion
Task-based instruction depends on what happens after students work. Plan to select and sequence student solutions so ideas build.
Example: In a task comparing two phone plans, you might first share a table-based solution, then a graph-based one, then an equation, and ask what each reveals about when the plans cost the same. The sequence moves from concrete to general, and each student sees a link to their own approach.
Describe how you would choose students to share and what question connects the solutions.
Misconceptions Across the Sequence
A vertical plan should anticipate where errors recur. Naming them shows you know where students struggle over time.
| Course | Common error | Plan response |
|---|---|---|
| Algebra I | Treating the equals sign as "give the answer" | Balance models and true or false equations |
| Algebra II | Assuming exponents distribute over sums | Test with numbers, then build the rules |
| Precalculus | Confusing a function with its inverse | Use reflection across y = x and tables |
Technology in Algebra Tasks
Graphing and spreadsheet tools let students vary parameters and see the effect at once. The competency asks for technology that supports the concept. For example, sliders for a and b in y = a(b^x) let students discover how each parameter changes growth. State what students should notice, and what question prompts that noticing.
Where Students Get Stuck
- Single-lesson thinking. The alignment plan must span courses.
- Tasks with one solution path. Rich tasks allow several.
- No anticipated student work. Predict strategies and errors.
- Weak connection to misconceptions. Name them and design for them.
Study Tips for D904
- Take one big idea and trace it through four courses.
- Collect three rich tasks and solve them in two ways each.
- Plan how you would sequence student solutions in a discussion.
- Draw a representation web for each function family you teach.
How We Help with D904
Send the prompt, rubric and course names. A mathematics education writer prepares a model alignment plan or task lesson, or reviews your draft for specificity and coverage.
GradeEssays is independent of WGU. Our work is a study and reference aid. Use it to learn the approach, then write and submit your own work under WGU's academic integrity policy. Orders are written from scratch, with free revisions within the scope of your original request and a full refund if late.
Make Sense of Your D904 Task
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Frequently Asked Questions
D904 is the graduate version. It adds a vertical alignment plan and task-based instruction as assessed competencies.
Four, per WGU's MAT guide.
2 in the MAT guide.
Planning how a concept develops across a sequence of courses.
A task with multiple entry points and solution strategies that supports discussion.
Yes. Send the task and plan and we check specificity, progression and rubric coverage.