MATH-04 · Foundation · 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 | Ratios, Measurement and Everyday Data
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Sign in to save this learning pathPractical outcome: Scale a room plan and check every length.
Explain reading a ratio using a visual and one worked real-world example. Context: Scale a room plan and check every length. End with a prediction or check-for-understanding.
Explain equivalent ratios using a visual and one worked real-world example. Context: Scale a room plan and check every length. End with a prediction or check-for-understanding.
Explain unit rates using a visual and one worked real-world example. Context: Scale a room plan and check every length. End with a prediction or check-for-understanding.
Explain direct proportion using a visual and one worked real-world example. Context: Scale a room plan and check every length. End with a prediction or check-for-understanding.
Use the first concepts from this section. Scale a room plan and check every length. 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 inverse proportion using a visual and one worked real-world example. Context: Scale a room plan and check every length. End with a prediction or check-for-understanding.
Explain scale drawings using a visual and one worked real-world example. Context: Scale a room plan and check every length. End with a prediction or check-for-understanding.
Explain unit conversions using a visual and one worked real-world example. Context: Scale a room plan and check every length. End with a prediction or check-for-understanding.
Explain dimensional checks using a visual and one worked real-world example. Context: Scale a room plan and check every length. End with a prediction or check-for-understanding.
Scale a room plan and check every length. Work without the example, compare two cases, record assumptions and limitations, then self-review correctness, reasoning and clarity.
6–12 questions covering Reading a ratio, Equivalent ratios, Unit rates and the remaining section concepts, with cumulative retrieval from earlier sections. Include a new transfer problem; 70% unlocks progression.
Practical outcome: Estimate and then measure packaging dimensions.
Explain length and distance using a visual and one worked real-world example. Context: Estimate and then measure packaging dimensions. End with a prediction or check-for-understanding.
Explain mass and capacity using a visual and one worked real-world example. Context: Estimate and then measure packaging dimensions. End with a prediction or check-for-understanding.
Explain reading time using a visual and one worked real-world example. Context: Estimate and then measure packaging dimensions. End with a prediction or check-for-understanding.
Explain perimeter using a visual and one worked real-world example. Context: Estimate and then measure packaging dimensions. End with a prediction or check-for-understanding.
Use the first concepts from this section. Estimate and then measure packaging dimensions. 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 rectangle area using a visual and one worked real-world example. Context: Estimate and then measure packaging dimensions. End with a prediction or check-for-understanding.
Explain triangle area using a visual and one worked real-world example. Context: Estimate and then measure packaging dimensions. End with a prediction or check-for-understanding.
Explain cuboid volume using a visual and one worked real-world example. Context: Estimate and then measure packaging dimensions. End with a prediction or check-for-understanding.
Explain accuracy and precision using a visual and one worked real-world example. Context: Estimate and then measure packaging dimensions. End with a prediction or check-for-understanding.
Estimate and then measure packaging dimensions. Work without the example, compare two cases, record assumptions and limitations, then self-review correctness, reasoning and clarity.
6–12 questions covering Length and distance, Mass and capacity, Reading time and the remaining section concepts, with cumulative retrieval from earlier sections. Include a new transfer problem; 70% unlocks progression.
Practical outcome: Collect travel-time observations and justify a summary.
Explain categorical and numerical data using a visual and one worked real-world example. Context: Collect travel-time observations and justify a summary. End with a prediction or check-for-understanding.
Explain tally tables using a visual and one worked real-world example. Context: Collect travel-time observations and justify a summary. End with a prediction or check-for-understanding.
Explain bar charts using a visual and one worked real-world example. Context: Collect travel-time observations and justify a summary. End with a prediction or check-for-understanding.
Explain line charts using a visual and one worked real-world example. Context: Collect travel-time observations and justify a summary. End with a prediction or check-for-understanding.
Explain mean using a visual and one worked real-world example. Context: Collect travel-time observations and justify a summary. End with a prediction or check-for-understanding.
Use the first concepts from this section. Collect travel-time observations and justify a summary. 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 median using a visual and one worked real-world example. Context: Collect travel-time observations and justify a summary. End with a prediction or check-for-understanding.
Explain mode using a visual and one worked real-world example. Context: Collect travel-time observations and justify a summary. End with a prediction or check-for-understanding.
Explain range using a visual and one worked real-world example. Context: Collect travel-time observations and justify a summary. End with a prediction or check-for-understanding.
Explain misleading axes using a visual and one worked real-world example. Context: Collect travel-time observations and justify a summary. End with a prediction or check-for-understanding.
Explain chance on a probability scale using a visual and one worked real-world example. Context: Collect travel-time observations and justify a summary. End with a prediction or check-for-understanding.
Collect travel-time observations and justify a summary. Work without the example, compare two cases, record assumptions and limitations, then self-review correctness, reasoning and clarity.
6–12 questions covering Categorical and numerical data, Tally tables, Bar charts and the remaining section concepts, with cumulative retrieval from earlier sections. Include a new transfer problem; 70% unlocks progression.
Combine all three sections: Collect travel-time observations and justify a summary. 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 Ratios, Measurement and Everyday Data, 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.
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