Volume and Surface Area

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Volume and Surface Area

Metric Units of Area and Volume

Students learn how to convert between metric units of area and volume using diagrams and proportional reasoning....

Surface Area of Cubes and Cuboids

Students learn how to find the surface area of cubes and cuboids using nets and 3D drawings.  As learning progre...

Surface Area of Prisms

Students use net drawings and 3D representations to calculate the surface area of prisms made from parallelogram...

Surface Area of Square Based Pyramids

Students learn how to use net drawings and apply Pythagoras' Theorem to calculate the total surface area of squ...

Total Surface Area of Cylinders

Students learn how to calculate the total surface area of cylinders using net drawings.  As learning progresses ...

Volume of a Cylinder

Students learn how to calculate the volume of a cylinder both in terms of pi and as a decimal to three significa...

Volume of Cubes and Cuboids

Students learn how to find the volume of cubes and cuboids using the area of the  cross-section and depth.  Lear...

Volume of a Cone

Students learn how to calculate the volume of a cone using the base area and perpendicular height.  As learning ...

Surface Area of a Cone

Students learn how to calculate the curved surface area of a cone and total surface area of a cone by considerin...

Cylinder Total Surface Area And Volume

Students learn how to calculate the surface area and volume of a cylinder.  As learning progresses students are ...

Volume and Surface Area of Spheres

Students learn how to calculate the volume and surface area of spheres using the formulae.  As learning progress...

Total Surface Area of Prisms

Students learn how to calculate the surface area of spheres firstly by considering the net of a cuboid and later...

Total Surface Area and Volume Investigation

Students investigate possible surface areas given a fixed volume of a prism.  As learning progresses they consid...

Volume of Cuboids and Prisms

Students learn how to calculate the volume of prisms using the cross sectional area and depth.  As learning prog...

Volume of Pyramids

Students learn how to calculate the volume of a square based pyramid by considering the base area and one third ...

Mr Mathematics Blog

Showing Progress during a Mathematics Lesson

Demonstrating student progression during a mathematics lesson is about understanding the learning objective and breaking that down into explicit success criteria. Using Success Criteria Take, for example, a lesson on calculating the area of compound rectilinear shapes. The intended learning objective was written on the main whiteboard. Success criteria were used to break down the individual […]

Plotting and Interpreting Conversion Graphs

Plotting and interpreting conversion graphs requires linking together several mathematical techniques.  Recent U.K. examiner reports indicate there are several common misconceptions when plotting and interpreting conversion graphs.  These include: drawing non-linear scales on the x or y axis, using the incorrect units when converting between imperial and metric measurements, taking inaccurate readings from either axis not […]

Calculating the Volume of a Pyramid

When calculating the volume of a pyramid we can substitute the values of the length, width and perpendicular height into the formula V = 1/3 lwh.  In my experience this is often provided for the students with little explanation as to why a volume of a pyramid is exactly one third the volume of a […]