
Rates and Ratios in Practice
Utilise rates and ratios to compare quantities and solve proportional problems. Contexts include fuel consumption, supermarket pricing, and recipe conversions.
About This Topic
Utilise rates and ratios to compare quantities and solve proportional problems. Contexts include fuel consumption, supermarket pricing, and recipe conversions.
Key Questions
- How do ratios help us scale quantities proportionally?
- What is a unit rate and why is it useful for comparison shopping?
- How do we calculate and interpret fuel consumption rates?
Planning templates for Essential 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 Calculations, Percentages and Rates
Fundamental Calculations
Review and apply fundamental arithmetic operations to solve practical problems. Students use estimation and technology to verify their calculations.
2 methodologies
Applications of Percentages
Apply percentage calculations to real-world scenarios including discounts, mark-ups, and GST. Students analyse how percentages are used in retail and media.
2 methodologies