Investigate the perimeter and area of simple and compound 2D shapes Develop an understanding of slope and the different techniques that can be used to draw the graph of a linear relation Identify parts of a circle, investigate the area and circumference of a circle, and understand the concept of \(\pi\)
Conceptual Framework
form measurement, system in the context of Personal and Cultural Expression
Statements of Inquiry
Understanding form and shape enhances creativity
Factual
How do derive formulae for area of 2D shapes?
Conceptual
How does understanding the properties of geometric shapes help us make decisions in real life?
Debatable
Do you agree that a better understanding of form and shape enhances creativity?
Description
Students begin the unit by identifying the different types of angles that can be formed by straight lines and parallel lines. They become familiar with the different types of polygons up to ten sides and the terminology associated with the study of geometry. Students learn to measure parts of the polygons in order to calculate their areas and describe the different forms that 2D shapes can take. The unit progresses to the various types of 3D shapes and their characteristics. Finally under the related concept of system, students will understand that improved skills and knowledge in geometry enhances one’s ability to be more creative in daily life.
Learning Outcomes
Identify and classify 2D and 3D shapes
Calculate area in 2D shapes and surface area in 3D shapes
Calculate volume of 3D shapes
Identify the parts of a circle including the radius, diameter, chord, centre, tangent
Calculate the circumference and area of a circle using formulae involving \(\pi\)
Use the Pythagorean Theorem to find missing sides in right angled triangles in the context of perimeter