MATH-02 · 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 | Subtraction, Multiplication and Division
Playlist title reserved in the plan; no YouTube playlist or upload has been created yet.
Sign in to save this learning pathPractical outcome: Track remaining bus seats with a diagram.
Explain taking away using a visual and one worked real-world example. Context: Track remaining bus seats with a diagram. End with a prediction or check-for-understanding.
Explain finding the difference using a visual and one worked real-world example. Context: Track remaining bus seats with a diagram. End with a prediction or check-for-understanding.
Explain subtraction on a number line using a visual and one worked real-world example. Context: Track remaining bus seats with a diagram. End with a prediction or check-for-understanding.
Explain missing addends using a visual and one worked real-world example. Context: Track remaining bus seats with a diagram. End with a prediction or check-for-understanding.
Use the first concepts from this section. Track remaining bus seats with a diagram. 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 subtracting zero using a visual and one worked real-world example. Context: Track remaining bus seats with a diagram. End with a prediction or check-for-understanding.
Explain regrouping one ten using a visual and one worked real-world example. Context: Track remaining bus seats with a diagram. End with a prediction or check-for-understanding.
Explain checking subtraction by addition using a visual and one worked real-world example. Context: Track remaining bus seats with a diagram. End with a prediction or check-for-understanding.
Explain two-step number stories using a visual and one worked real-world example. Context: Track remaining bus seats with a diagram. End with a prediction or check-for-understanding.
Track remaining bus seats with a diagram. Work without the example, compare two cases, record assumptions and limitations, then self-review correctness, reasoning and clarity.
6–12 questions covering Taking away, Finding the difference, Subtraction on a number line and the remaining section concepts, with cumulative retrieval from earlier sections. Include a new transfer problem; 70% unlocks progression.
Practical outcome: Draw equal rows of seats and calculate total capacity.
Explain equal groups using a visual and one worked real-world example. Context: Draw equal rows of seats and calculate total capacity. End with a prediction or check-for-understanding.
Explain repeated addition using a visual and one worked real-world example. Context: Draw equal rows of seats and calculate total capacity. End with a prediction or check-for-understanding.
Explain rectangular arrays using a visual and one worked real-world example. Context: Draw equal rows of seats and calculate total capacity. End with a prediction or check-for-understanding.
Explain multiplication by zero and one using a visual and one worked real-world example. Context: Draw equal rows of seats and calculate total capacity. End with a prediction or check-for-understanding.
Use the first concepts from this section. Draw equal rows of seats and calculate total capacity. 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 two and five times tables using a visual and one worked real-world example. Context: Draw equal rows of seats and calculate total capacity. End with a prediction or check-for-understanding.
Explain ten times table using a visual and one worked real-world example. Context: Draw equal rows of seats and calculate total capacity. End with a prediction or check-for-understanding.
Explain distributive multiplication using a visual and one worked real-world example. Context: Draw equal rows of seats and calculate total capacity. End with a prediction or check-for-understanding.
Explain multi-digit multiplication using a visual and one worked real-world example. Context: Draw equal rows of seats and calculate total capacity. End with a prediction or check-for-understanding.
Draw equal rows of seats and calculate total capacity. Work without the example, compare two cases, record assumptions and limitations, then self-review correctness, reasoning and clarity.
6–12 questions covering Equal groups, Repeated addition, Rectangular arrays and the remaining section concepts, with cumulative retrieval from earlier sections. Include a new transfer problem; 70% unlocks progression.
Practical outcome: Share a collection fairly and explain leftover objects.
Explain equal sharing using a visual and one worked real-world example. Context: Share a collection fairly and explain leftover objects. End with a prediction or check-for-understanding.
Explain grouping division using a visual and one worked real-world example. Context: Share a collection fairly and explain leftover objects. End with a prediction or check-for-understanding.
Explain division reverses multiplication using a visual and one worked real-world example. Context: Share a collection fairly and explain leftover objects. End with a prediction or check-for-understanding.
Explain remainders using a visual and one worked real-world example. Context: Share a collection fairly and explain leftover objects. End with a prediction or check-for-understanding.
Use the first concepts from this section. Share a collection fairly and explain leftover objects. 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 long division one digit at a time using a visual and one worked real-world example. Context: Share a collection fairly and explain leftover objects. End with a prediction or check-for-understanding.
Explain divisibility by two five and ten using a visual and one worked real-world example. Context: Share a collection fairly and explain leftover objects. End with a prediction or check-for-understanding.
Explain order of operations using a visual and one worked real-world example. Context: Share a collection fairly and explain leftover objects. End with a prediction or check-for-understanding.
Explain estimating an answer using a visual and one worked real-world example. Context: Share a collection fairly and explain leftover objects. End with a prediction or check-for-understanding.
Share a collection fairly and explain leftover objects. Work without the example, compare two cases, record assumptions and limitations, then self-review correctness, reasoning and clarity.
6–12 questions covering Equal sharing, Grouping division, Division reverses multiplication and the remaining section concepts, with cumulative retrieval from earlier sections. Include a new transfer problem; 70% unlocks progression.
Combine all three sections: Share a collection fairly and explain leftover objects. 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 Subtraction, Multiplication and Division, 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 →