6
Modules
79
Topics
23
hours
Modules (6)
Resources ()

this course will guide you through different areas of geometry such as points, lines, angles, triangles, circles, transformations, and area.

Module 1
Synthetic Geometry
Resources availableIn this module you will learn about what geometry is and involves, along with gaining an understanding of Geometric reasoning and how to prove a theorem to be true.Synthetic Geometry  Learning Outcomes
Start TopicProperties of Shapes
Start TopicGeometric Reasoning 1
Start TopicGeometric Reasoning 2
Start TopicGeometric Reasoning 3
Start TopicGeometric Reasoning 4
Start TopicProof of Theorem 11
Start TopicProof of Theorem 12
Start TopicProof of Theorem 13
Start TopicSynthetic Geometry  Lesson Summary
Start Topic 
Module 2
Coordinate Geometry
Resources availableIn this module you will learn about geometry with using coordinates, including equation of a line, translation an reflection of functions, the equation of a circle, and more geometry involving circles.Coordinate Geometry  Learning Outcomes
Start TopicGeometry with Coordinates
Start TopicEquation of a Straight Line
Start TopicParallel Lines
Start TopicPerpendicular Lines
Start TopicThe Graphs of y=kx^n
Start TopicTranslation of Functions
Start TopicReflection of Functions
Start TopicStretching Functions
Start TopicGeneral Transformation of Functions
Start TopicEquation of a Circle 1  Centre (0,0)
Start TopicEquation of a Circle 2  (Centre Not 0,0)
Start TopicEquation of a Circle 3
Start TopicDiameter of a Circle
Start TopicTangent and Normal to a Circle
Start TopicTouching Circles
Start TopicProve that a Line is a Tangent to a Circle
Start TopicDistance From a Point to a Line
Start TopicAngle Between 2 Lines
Start TopicDividing a Line Segment in a Given Ratio
Start TopicCoordinate Geometry  Lesson Summary
Start Topic 
Module 3
Trigonometry
Resources availableThis module will teach you about using trigonometric ratios to find out angles, and the sides of triangles.Trigonometry  Learning Outcomes
Start TopicFinding Angles with Sine Ratio
Start TopicFinding Sides with the Sine Ratio
Start TopicFinding Angles with the Cosine Ratio
Start TopicFinding Sides with the Cosine Ratio
Start TopicFinding Angles with the Tangent Ratio
Start TopicFinding Sides with the Tangent Ratio
Start TopicFinding a Missing Side with the Sine Rule
Start TopicFinding a Missing Angle with the Sine Rule
Start TopicProblem Solving with the Cosine Rule
Start TopicTrigonometry  Lesson Summary
Start Topic 
Module 4
Radians
Resources availableIn this module you will learn more about trigonometry, including Radians, the Unit circle, solving trigonometric equations, the area of a sector of a circle, and trigonometry with 3D geometric shapes.Radians  Learning Outcomes
Start TopicIntroducing Radians
Start TopicUsing Radians to Find Area of Sector
Start TopicSketching and Matching Trigonometric Functions
Start TopicGraphing Trig Functions. y = sinx  Calculator Work – in Degrees
Start TopicGraphing Trig Functions. y = 3sin2x  Valculator Work – in Radians
Start TopicIntroducing the Unit Circle
Start TopicThe Unit Circle – Drawing Sine and Cosine
Start TopicComparing Degrees to Radians on the Unit Circle
Start TopicSolving Trigonometric Equations
Start TopicProving The Sine Rule
Start TopicProving the Cosine Rule
Start TopicProving Trigonometric Identity  (Sin squared + cos squared = 1)
Start TopicFinding Areas with Trigonometry
Start Topic3D Trigonometry  The Cuboid
Start Topic3D Trigonometry  Rectangular Based Pyramid
Start TopicArea of a Segment
Start TopicRadians  Lesson Summary
Start Topic 
Module 5
Length, Area and Volume
Resources availableIn this module you will learn how to work out and calculate the area and volume of both 2 dimensional objects/shapes and 3 dimensional objects/shapes.Length, Area and Volume  Learning Outcomes
Start TopicCircumference of a Circle
Start TopicArea of a Circle
Start TopicFinding Radius and Diameter of a Circle From its Perimeter
Start TopicFinding Radius and Diameter From Area of Circle
Start TopicArea of Trapezium
Start TopicArea of Acute Angled Triangles
Start TopicArea of Obtuse Angled Triangles
Start TopicArea of Parallelogram
Start TopicArea of Rectangles
Start TopicArea Compound Shapes (Rectangles)
Start TopicArea of Compound Shapes
Start TopicArea of Compound Shapes (Triangles)
Start TopicVolume and Surface Area
Start TopicSectors and Arcs
Start TopicArea of a Segment
Start TopicVolume of Compound Solid
Start TopicLength, Area and Volume  Lesson Summary
Start Topic 
course assessment: Geometry  Angles, Shapes and Area  Revised

Module 6
Course assessment
Resources available