Chapter 4: Measurement and Pythagoras' theorem Notes

Sections

1. 4A Perimeter and circumference Mastered

   Perimeter of polygons and composite shapes, circumference of circles, and perimeter of semicircles, quadrants and sectors.

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2. 4B Area of special quadrilaterals Mastered

   Area formulas for parallelograms, trapeziums, rhombuses and kites, and area unit conversions including hectares.

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3. 4C Area of circles, sectors and composite figures Mastered

   The area of a circle, semicircle, quadrant and sector, and the area of composite shapes involving circles.

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4. 4D Surface area of prisms Mastered

   Nets and the total surface area of rectangular and triangular prisms.

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5. 4E Volume and capacity of prisms and cylinders Mastered

   Volume units, capacity in millilitres and litres, and the volume of prisms and cylinders using V = Ah.

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6. 4F Pythagoras' theorem Mastered

   The hypotenuse, Pythagoras' theorem c² = a² + b², finding the hypotenuse, Pythagorean triples, and testing whether a triangle is right-angled.

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7. 4G Finding a shorter side and applying Pythagoras Mastered

   Finding a shorter side of a right-angled triangle with a² = c² − b², and solving real problems with ladders, diagonals and distances.

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