Circles

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Circles

Finding the Area of a Circle

Students learn how a circle can be formed into a parallelogram and rectangle so the area is derived as A =πr2.  ...

Finding the Circumference of a Circle

Students learn about finding the circumference of a circle as a multiple of π and as a decimal correct to 3 sign...

Problems with Circular Shapes

Students use the circumference and area of a circle to solve a variety of problems with circular shapes.  Throug...

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...

Circumference of Circles Problems

This lesson consolidates calculating the circumference of a circle and the perimeter of circular shapes.  Studen...

Circumference of Circles

Students are taken through the process of discovering the relationship between the radius, diameter and circumfe...

Area of Circles Problems

The lesson is intended to consolidate applying the area of circle formula to solve complex problems.  To extend ...

Area of Circles

Students are guided though the derivation of the Area of a Circle formula by approximating a circle from its sec...

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 […]