Strand 2 Ordinary Level Geometry and Trigonometry
Gain a better understanding of synthetic geometry, coordinate geometry, and trigonometry, with this free math course.
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Synthetic geometry is also known as axiomatic or pure geometry and is the study of geometry without the use of coordinates or formulae. It studies shapes by means of axioms and theorems. This course begins by teaching you the different concepts of synthetic geometry. You will look into the different properties of shapes and learn about geometric reasoning which is the use of critical thinking, logical arguments, and spatial reasoning to solve problems and find new relationships.
Coordinate geometry is also known as analytic geometry or cartesian geometry. It is the study of geometry using a coordinate system, in contrast to synthetic geometry. This course will teach you the different concepts of coordinate geometry. You will learn its usefulness in physics and engineering, and also in aviation and space science. You will also cover trigonometry and study the relations of the sides and angles of triangles and the relevant functions of any angles.
Synthetic Geometry and Coordinate Geometry are used in real life to help us understand the dimensions and transformations of shapes and figures such as lines, triangles, polygons, and circles. Upon the completion of this course, you will have a better understanding of key geometry axioms and theorems. So, check out the course today and learn how to properly solve for the slope and equation of a line passing through two given points, find distances and angles using Sine and Cosine Rules, and more.
Strand 2 Ordinary Level Geometry and Trigonometry Assessment
Module 1: Synthetic Geometry
Properties of Shapes
Geometric reasoning - Part 1
Geometric reasoning - Part 2
Geometric reasoning - Part 3
Module 2: Coordinate Geometry
Geometry with coordinates
Equation of a straight line
The graphs of y=kx^n
Translation of functions
Reflection of functions
General transformation of functions
Equation of a circle 1 - Centre (0,0)
Equation of a circle 2 - Centre not (0,0)
Diameter of a circle
Tangent and normal to a circle
Module 3: Trigonometry
Finding angles with sine ratio
Finding sides with the sine ratio
Finding angles with the cosine ratio
Finding sides with the cosine ratio
Finding angles with the tangent ratio
Finding sides with the tangent ratio
Finding a missing side with the Sine Rule
Finding a missing angle with the Sine Rule
Problem solving with the Cosine Rule
Finding areas with trigonometry
Area of a segment
Having completed this course students will be able to:
- Determine the slope of a line passing through two given points
- Find the equation of a line passing through two given points
- Find the equation of a line perpendicular to a given line and passing through a given point
- Determine the equation of a circle having a given centre and radius
- Find the equation of a tangent to a given circle at a specified point
- Find distance and angle using Sine and Cosine Rules
- Find length of an arc and area of a sector using circular measure
- Determine the area of a triangle given the lengths of two sides and the included angle
All Alison courses are free to enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire official Certification, which is a great way to share your achievement with the world. Your Alison Certification is:
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Free, Online Strand 2 Ordinary Level Geometry and Trigonometry Course
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