MATH-06 · 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 I: Lines and Systems
Playlist title reserved in the plan; no YouTube playlist or upload has been created yet.
Sign in to save this learning pathPractical outcome: Model taxi fares and interpret the slope and intercept.
Explain cartesian coordinates using a visual and one worked real-world example. Context: Model taxi fares and interpret the slope and intercept. End with a prediction or check-for-understanding.
Explain plotting ordered pairs using a visual and one worked real-world example. Context: Model taxi fares and interpret the slope and intercept. End with a prediction or check-for-understanding.
Explain rate of change using a visual and one worked real-world example. Context: Model taxi fares and interpret the slope and intercept. End with a prediction or check-for-understanding.
Explain slope between points using a visual and one worked real-world example. Context: Model taxi fares and interpret the slope and intercept. End with a prediction or check-for-understanding.
Use the first concepts from this section. Model taxi fares and interpret the slope and intercept. 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 slope-intercept form using a visual and one worked real-world example. Context: Model taxi fares and interpret the slope and intercept. End with a prediction or check-for-understanding.
Explain point-slope form using a visual and one worked real-world example. Context: Model taxi fares and interpret the slope and intercept. End with a prediction or check-for-understanding.
Explain horizontal and vertical lines using a visual and one worked real-world example. Context: Model taxi fares and interpret the slope and intercept. End with a prediction or check-for-understanding.
Explain parallel and perpendicular lines using a visual and one worked real-world example. Context: Model taxi fares and interpret the slope and intercept. End with a prediction or check-for-understanding.
Model taxi fares and interpret the slope and intercept. Work without the example, compare two cases, record assumptions and limitations, then self-review correctness, reasoning and clarity.
6–12 questions covering Cartesian coordinates, Plotting ordered pairs, Rate of change and the remaining section concepts, with cumulative retrieval from earlier sections. Include a new transfer problem; 70% unlocks progression.
Practical outcome: Find the break-even point of two subscription plans.
Explain graphical intersection using a visual and one worked real-world example. Context: Find the break-even point of two subscription plans. End with a prediction or check-for-understanding.
Explain substitution method using a visual and one worked real-world example. Context: Find the break-even point of two subscription plans. End with a prediction or check-for-understanding.
Explain elimination method using a visual and one worked real-world example. Context: Find the break-even point of two subscription plans. End with a prediction or check-for-understanding.
Explain no-solution systems using a visual and one worked real-world example. Context: Find the break-even point of two subscription plans. End with a prediction or check-for-understanding.
Use the first concepts from this section. Find the break-even point of two subscription plans. 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 infinitely many solutions using a visual and one worked real-world example. Context: Find the break-even point of two subscription plans. End with a prediction or check-for-understanding.
Explain systems of inequalities using a visual and one worked real-world example. Context: Find the break-even point of two subscription plans. End with a prediction or check-for-understanding.
Explain feasible regions using a visual and one worked real-world example. Context: Find the break-even point of two subscription plans. End with a prediction or check-for-understanding.
Explain linear modelling assumptions using a visual and one worked real-world example. Context: Find the break-even point of two subscription plans. End with a prediction or check-for-understanding.
Find the break-even point of two subscription plans. Work without the example, compare two cases, record assumptions and limitations, then self-review correctness, reasoning and clarity.
6–12 questions covering Graphical intersection, Substitution method, Elimination method and the remaining section concepts, with cumulative retrieval from earlier sections. Include a new transfer problem; 70% unlocks progression.
Practical outcome: Build an input-output machine for a delivery charge.
Explain function notation using a visual and one worked real-world example. Context: Build an input-output machine for a delivery charge. End with a prediction or check-for-understanding.
Explain domain using a visual and one worked real-world example. Context: Build an input-output machine for a delivery charge. End with a prediction or check-for-understanding.
Explain range using a visual and one worked real-world example. Context: Build an input-output machine for a delivery charge. End with a prediction or check-for-understanding.
Explain vertical-line test using a visual and one worked real-world example. Context: Build an input-output machine for a delivery charge. End with a prediction or check-for-understanding.
Use the first concepts from this section. Build an input-output machine for a delivery charge. 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 piecewise functions using a visual and one worked real-world example. Context: Build an input-output machine for a delivery charge. End with a prediction or check-for-understanding.
Explain absolute-value graphs using a visual and one worked real-world example. Context: Build an input-output machine for a delivery charge. End with a prediction or check-for-understanding.
Explain arithmetic sequences using a visual and one worked real-world example. Context: Build an input-output machine for a delivery charge. End with a prediction or check-for-understanding.
Explain recursive rules using a visual and one worked real-world example. Context: Build an input-output machine for a delivery charge. End with a prediction or check-for-understanding.
Build an input-output machine for a delivery charge. Work without the example, compare two cases, record assumptions and limitations, then self-review correctness, reasoning and clarity.
6–12 questions covering Function notation, Domain, Range and the remaining section concepts, with cumulative retrieval from earlier sections. Include a new transfer problem; 70% unlocks progression.
Combine all three sections: Build an input-output machine for a delivery charge. 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 I: Lines and Systems, 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 →