AO4: Find the perimeters and areas of circles and composite shapes and the volumes of prisms, including cylinders.

Describe the relationship between the surface area and volume of a container

Devise and use problem solving strategies to explore situations mathematically (be systematic, draw a diagram, use a model)

Construct two intersecting circles where the radius of the second circle is on the circumference of the first.

Use Pythagoras’ theorem to find the area of a rhombus

Devise and use problem solving strategies to explore situations mathematically (be systematic, draw a diagram, use a model)

Find the volume and surface area of rectangular prisms

Devise and use problem solving strategies to explore situations mathematically (be systematic, draw a diagram).

Find the circumference of a circle;

Understand the relationship between changes in the circumference of a circle and changes in the radius.

Devise and use problem solving strategies to explore situations mathematically (be systematic, make a model).

Use the formula for the circumference and diameter of a sphere to solve a problem

Devise and use problem solving strategies to explore situations mathematically (be systematic, make a model)

compare the volume of a sphere and a cylinder by either measuring or applying a formula.

devise and use problem solving strategies to explore situations mathematically (be systematic, make a model).

investigate how perimeter changes as area changes

see the relation between area and perimeter for similar shapes

pose questions for mathematical exploration

prove or refute mathematical conjectures

determine the maximum area of a rectangle with a given perimeter

determine the range of areas of a rectangle with a given perimeter

pose questions for mathematical exploration

prove or refute mathematical conjectures

Use area formulas of circles and squares to solve problems