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Let’s Experiment: Discovering Area and Volume Formulas

Stages

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1. Quadrilaterals: Investigating Areas of Trapeziums

Suggested Learning Intentions

To investigate the area formulas of trapeziums

Sample Success Criteria

I can describe the similarities and differences between a parallelogram and trapezium
I can develop the formula for calculating the area of trapeziums
I can demonstrate and justify my thinking using a range of manipulatives

2. Quadrilaterals: Investigating areas of Kites and Rhombuses

Suggested Learning Intentions

To investigate the area formulas of rhombuses and kites

Sample Success Criteria

I can describe the similarities and differences between rectangles, parallelograms, kites and rhombuses
I can develop the formula for calculating the area of kites and rhombuses
I can use a range of manipulatives to model and explain my thinking

3. Circles: Establishing Pi

Suggested Learning Intentions

To investigate the ratio of circumference to diameter

Sample Success Criteria

I can describe how the radius, diameter and circumference of a circle are related
I can demonstrate and justify my thinking using a range of manipulatives
I can interpret the formula for the circumference of circles

4. Circles: Establishing Area Formula

Suggested Learning Intentions

To visualise and evaluate how the area of a circle is determined

Sample Success Criteria

I can explain the strategies used to develop the area formula for circles
I can demonstrate my understanding of how the formula for area of circles is derived using a range of manipulatives

5. Prisms: Establishing Volume Formulas

Suggested Learning Intentions

To build our understanding of the relationship between surface area and volume
To develop the formula to find the volume of prisms

Sample Success Criteria

I can identify the surface area of a prism
I can describe the connection between surface area and volume
I can describe the formula for calculating volume of prisms and explain why this is true for all prisms
I can make connections between the area formula and volume formula
I can demonstrate and justify my thinking using a range of manipulatives

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