Ratio and Proportion (Advanced Problems)
Students will solve complex problems involving ratios, including sharing in a given ratio and inverse ratio.
Key Questions
- Analyze how to adjust ratios when new information is introduced.
- Compare direct and inverse ratio problems, highlighting their key differences.
- Design a multi-step problem that integrates different aspects of ratio and proportion.
National Curriculum Attainment Targets
Suggested Methodologies
Ready to teach this topic?
Generate a complete, classroom-ready active learning mission in seconds.
Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
unit plannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
rubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Numerical Fluency and Proportion
Simplifying Surds
Students will simplify surds by extracting square factors and expressing them in their simplest form.
2 methodologies
Operations with Surds
Students will perform addition, subtraction, multiplication, and division with surds.
2 methodologies
Rationalising the Denominator
Students will rationalise denominators involving single surds and binomial surds.
2 methodologies
Direct Proportion
Students will model and solve problems involving direct proportion, including graphical representation.
2 methodologies
Inverse Proportion
Students will model and solve problems involving inverse proportion, including graphical representation.
2 methodologies