MATH-07 · Secondary · ENGLISH · PLANNED
Build the picture, explain the rule, work an example, then justify it.
Study time is an initial activity estimate, excluding extra reading, revision and extended laboratory or project work. Videos and question bodies have not been produced by adding this outline.
Complete these courses or demonstrate equivalent knowledge. These are recommended prerequisites, not enforced enrolment locks.
YouTube playlist: ARK Mathematics | Algebra II: Polynomials and Nonlinear Functions
Playlist title reserved in the plan; no YouTube playlist or upload has been created yet.
Sign in to save this learning pathPractical outcome: Model the area of an adjustable garden.
Explain polynomial degree using a visual and one worked real-world example. Context: Model the area of an adjustable garden. End with a prediction or check-for-understanding.
Explain adding polynomials using a visual and one worked real-world example. Context: Model the area of an adjustable garden. End with a prediction or check-for-understanding.
Explain multiplying binomials using a visual and one worked real-world example. Context: Model the area of an adjustable garden. End with a prediction or check-for-understanding.
Explain special products using a visual and one worked real-world example. Context: Model the area of an adjustable garden. End with a prediction or check-for-understanding.
Use the first concepts from this section. Model the area of an adjustable garden. Produce a labelled diagram, trace or calculation; explain each step and check one changed input.
3–6 questions on the preceding first-half concepts only: recall, visual interpretation, application and one plausible misconception. Explain each answer after submission.
Explain factoring quadratics using a visual and one worked real-world example. Context: Model the area of an adjustable garden. End with a prediction or check-for-understanding.
Explain difference of squares using a visual and one worked real-world example. Context: Model the area of an adjustable garden. End with a prediction or check-for-understanding.
Explain polynomial division using a visual and one worked real-world example. Context: Model the area of an adjustable garden. End with a prediction or check-for-understanding.
Explain remainder theorem using a visual and one worked real-world example. Context: Model the area of an adjustable garden. End with a prediction or check-for-understanding.
Model the area of an adjustable garden. Work without the example, compare two cases, record assumptions and limitations, then self-review correctness, reasoning and clarity.
6–12 questions covering Polynomial degree, Adding polynomials, Multiplying binomials and the remaining section concepts, with cumulative retrieval from earlier sections. Include a new transfer problem; 70% unlocks progression.
Practical outcome: Fit a simple arch and explain both roots.
Explain solving by factoring using a visual and one worked real-world example. Context: Fit a simple arch and explain both roots. End with a prediction or check-for-understanding.
Explain completing the square using a visual and one worked real-world example. Context: Fit a simple arch and explain both roots. End with a prediction or check-for-understanding.
Explain quadratic formula using a visual and one worked real-world example. Context: Fit a simple arch and explain both roots. End with a prediction or check-for-understanding.
Explain discriminant using a visual and one worked real-world example. Context: Fit a simple arch and explain both roots. End with a prediction or check-for-understanding.
Use the first concepts from this section. Fit a simple arch and explain both roots. Produce a labelled diagram, trace or calculation; explain each step and check one changed input.
3–6 questions on the preceding first-half concepts only: recall, visual interpretation, application and one plausible misconception. Explain each answer after submission.
Explain vertex form using a visual and one worked real-world example. Context: Fit a simple arch and explain both roots. End with a prediction or check-for-understanding.
Explain graph transformations using a visual and one worked real-world example. Context: Fit a simple arch and explain both roots. End with a prediction or check-for-understanding.
Explain quadratic inequalities using a visual and one worked real-world example. Context: Fit a simple arch and explain both roots. End with a prediction or check-for-understanding.
Explain complex roots using a visual and one worked real-world example. Context: Fit a simple arch and explain both roots. End with a prediction or check-for-understanding.
Fit a simple arch and explain both roots. Work without the example, compare two cases, record assumptions and limitations, then self-review correctness, reasoning and clarity.
6–12 questions covering Solving by factoring, Completing the square, Quadratic formula and the remaining section concepts, with cumulative retrieval from earlier sections. Include a new transfer problem; 70% unlocks progression.
Practical outcome: Compare a fixed-growth and percentage-growth model.
Explain rational expressions using a visual and one worked real-world example. Context: Compare a fixed-growth and percentage-growth model. End with a prediction or check-for-understanding.
Explain excluded values using a visual and one worked real-world example. Context: Compare a fixed-growth and percentage-growth model. End with a prediction or check-for-understanding.
Explain rational equations using a visual and one worked real-world example. Context: Compare a fixed-growth and percentage-growth model. End with a prediction or check-for-understanding.
Explain asymptotes using a visual and one worked real-world example. Context: Compare a fixed-growth and percentage-growth model. End with a prediction or check-for-understanding.
Explain exponential growth using a visual and one worked real-world example. Context: Compare a fixed-growth and percentage-growth model. End with a prediction or check-for-understanding.
Use the first concepts from this section. Compare a fixed-growth and percentage-growth model. Produce a labelled diagram, trace or calculation; explain each step and check one changed input.
3–6 questions on the preceding first-half concepts only: recall, visual interpretation, application and one plausible misconception. Explain each answer after submission.
Explain exponential decay using a visual and one worked real-world example. Context: Compare a fixed-growth and percentage-growth model. End with a prediction or check-for-understanding.
Explain logarithms as inverses using a visual and one worked real-world example. Context: Compare a fixed-growth and percentage-growth model. End with a prediction or check-for-understanding.
Explain logarithm laws using a visual and one worked real-world example. Context: Compare a fixed-growth and percentage-growth model. End with a prediction or check-for-understanding.
Explain exponential equations using a visual and one worked real-world example. Context: Compare a fixed-growth and percentage-growth model. End with a prediction or check-for-understanding.
Explain geometric sequences using a visual and one worked real-world example. Context: Compare a fixed-growth and percentage-growth model. End with a prediction or check-for-understanding.
Compare a fixed-growth and percentage-growth model. Work without the example, compare two cases, record assumptions and limitations, then self-review correctness, reasoning and clarity.
6–12 questions covering Rational expressions, Excluded values, Rational equations and the remaining section concepts, with cumulative retrieval from earlier sections. Include a new transfer problem; 70% unlocks progression.
Combine all three sections: Compare a fixed-growth and percentage-growth model. Submit an original worked artifact, evidence or tests, assumptions and a reflection. Rubric: correctness, method, practical usefulness, reproducibility and communication. Self-reviewed, not certified.
6–12 balanced questions sampling every section of Algebra II: Polynomials and Nonlinear Functions, including interpretation, calculation or reasoning, a misconception and a new application. Passing is 70%; review errors before retrying.
Visual constructions, worked problems and proofs. Guided work leads to an independent attempt, with a diagram, explanation, trace, calculation or tested artifact. Question bodies are generated when opened in your private learning path. Programming submissions are stored as text; the platform does not execute submitted code.
Use original or appropriately licensed datasets. Practical science activities use models or supplied data unless a qualified supervisor has reviewed a physical experiment.
Open the interactive practice sampler →