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    • SL Applications and Interpretation
    • HL Applications and Interpretation
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    • International AS and A Level Further
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    • Year 11 Advanced
    • Year 11 Extension 1
    • Year 12 Standard 1
    • Year 12 Standard 2
    • Year 12 Advanced
    • Year 12 Extension 1
    • Year 12 Extension 2
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    • Foundation Units 1 and 2
    • General Units 1 and 2
    • Maths Methods Units 1 and 2
    • Specialist Units 1 and 2
    • Further Units 3 and 4
    • Maths Methods Units 3 and 4
    • Specialist Units 3 and 4
  • QCE Mathematics
    • Essential Mathematics
    • General Mathematics
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Lesson

VOLUME

Home > My Courses > IB Mathematics Applications and Interpretation SL – Geometry and Trigonometry > VOLUME
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IB Mathematics Applications and Interpretation SL - Geometry and Trigonometry

VOLUME
Volume Units
  • Video – Volume Units (12:16)
  • Topic – Convert mm^3 to cm^3
  • Topic – Convert mm^3 to m^3
  • Topic – Convert cm^3 to mm^3
  • Topic – Convert cm^3 to m^3
  • Topic – Convert m^3 to mm^3
  • Topic – Convert m^3 to cm^3
  • Topic – Convert mm^3 to L
  • Topic – Convert cm^3 to L
  • Topic – Convert m^3 to L
  • Topic – Convert L to mm^3
  • Topic – Convert L to cm^3
  • Topic – Convert L to m^3
Volume of Prisms
  • Video – Cross Section of a Prism (8:16)
  • Video – Volume of a Prism (2:39)
  • Video – Volume of a Prism by Finding the Area of Cross Section (5:18)
  • Video – Volume of a Composite Prism (7:11)
  • Video – Volume of Prisms (8:19)
  • Video – Volume of Composite Prisms (6:52)
  • Video – Volume of Rectangular Prism (6:42)
  • Video – Volume of Triangular Prism (3:36)
Volume of Cylinders
  • Video – Volume of a Cylinder (7:57)
  • Video – Volume of Composite Cylinders (8:35)
  • Topic – Volume of Cylinders given Height and Radius
  • Topic – Volume of Cylinders given Height and Diameter
  • Topic – Volume of Cylinders given Height and Radius in Different Units
  • Topic – Volume of Cylinders given Height and Diameter in Different Units
  • Topic – Volume of Cylinders given Height and Radius in Litres
  • Topic – Volume of Cylinders given Height and Diameter in Litres
  • Topic – Finding Radius given Volume of Cylinders
  • Topic – Finding Diameter given Volume of Cylinders
  • Topic – Finding Height given Volume of Cylinders
Volume of Pyramids
  • Video – Volume of Square Pyramids (0:53)
  • Video – Volume of Triangular Pyramids (1:13)
  • Video – Volume of Rectangular Pyramid (3:47)
  • Video – Volume of Triangular Pyramid (3:16)
  • Topic – Volume of Squre Pyramids
  • Topic – Height of Squre Pyramids given Volume and Base
  • Topic – Base of Squre Pyramids given Volume and Height
  • Topic – Volume of Squre Pyramids in Litres
  • Topic – Volume of Rectangular Pyramids
  • Topic – Height of Rectangular Pyramids given Volume and Base
  • Topic – Length of Rectangular Pyramids given Volume and Width
  • Topic – Volume of Rectangular Pyramids in Litres
  • Topic – Volume of Triangular Pyramids given Base and Height
  • Topic – Height of Triangular Pyramids given Volume and Triangle
  • Topic – Base Triangles of Triangular Pyramids given Volume and Height
  • Topic – Volume of Parallelogram Pyramids
Volume of Cones
  • Video – Volume of Cones 1 (2:51)
  • Video – Volume of Cones 2 (4:58)
  • Topic – Volume of Cones
  • Topic – Radius of Cones given Volume and Height
  • Topic – Height of Cones given Volume and Radius
  • Topic – Volume of Cones in Litres
Volume of Spheres
  • Video – Volume of Spheres (1:57)
  • Video – Volume of Spheres involving Radius (3:10)
Volume of Composite Solids
  • Video – Compound Volume 1 (2:15)
  • Video – Compound Volume 2 (2:19)
SURFACE AREA
Surface Area of Prisms
  • Video – Surface Area of Rectangular Prisms (4:51)
  • Video – Surface Area of Triangular Prisms (2:10)
  • Topic – Total Surface Area of Rectangular Prisms
  • Topic – Total Surface Area of Open Rectangular Prisms
  • Topic – Side of Rectangular Prisms
  • Topic – Total Surface Area of Triangular Prisms using Nets 1
  • Topic – Total Surface Area of Triangular Prisms using Nets 2
Surface Area of Pyramids
  • Video – Surface Area of Square Pyramids (4:56)
  • Topic – Total Surface Area of a Square Pyramid given Base Side and Slant Height
  • Topic – Total Surface Area of a Square Pyramid given Base Side and Height
  • Topic – Total Surface Area of a Square Pyramid given Base Side and Side Height
  • Topic – Total Surface Area of a Square Pyramid given Hieght and Slant Height
  • Topic – Finding Slant Height by Total Surface Area of a Square Pyramid
Surface Area of Cylinders
  • Video – Surface Area of Open Cylinder (6:09)
  • Video – Surface Area of Closed Cylinder (7:31)
  • Video – Surface Area of Cylinder (1:55)
Surface Area of Spheres
  • Video – Surface Area of Sphere (5:00)
  • Video – Surface Area of Spheres (2:20)
  • Video – Surface Area of Hemispheres (4:22)
Surface Area of Cones
  • Video – Surface Area of Cones (6:41)
  • Video – Surface Area of Cones involving Slant Heights (3:27)
Surface Area of Composite Solids
  • Video – Compound Surface Area 1 (2:43)
  • Video – Compound Surface Area 2 (5:24)
ANGLE GEOMETRY
Angle between Lines
  • Video – Angle Between Lines in Gradient Form (3:59)
  • Video – Angle Between Lines in General Form (3:35)
  • Video – Angle Between Lines in General Form and Two Points (3:23)
  • Video – Angle Between Lines using Four Points (3:18)
  • Video – Right Angle Between Lines (3:52)
  • Video – Gradients using Angle between Lines Given in General Form (5:48)
  • Video – Gradients using Angle between Lines Given in Gradient Form (6:06)
  • Video – Gradients using Angle between Lines Given Tangent Value (5:23)
TRIGONOMETRY
Three Dimensional Trigonometry
  • Video – Three Dimensions using Tangent (3:31)
  • Video – Three Dimensions using Cosine Rule (10:17)
  • Video – Three Dimensions using Pythagoras Theorem (7:19)
  • Video – Three Dimensions involving Bearings (8:28)
Problem Solving with Pythagoras' Theorem
  • Video – Applications of Areas (9:00)
  • Video – Sides of Three Triangles by Pythagoras Theorem (4:06)
  • Video – Composite Shape involving Pythagoras’ Theorem (3:58)
  • Topic – Sides of Three Right-Angled Triangles
Compass Bearings
  • Video – Definition of Compass Bearing (2:46)
  • Video – State the Compass Bearing (6:19)
  • Video – Sketching Compass Bearing (1:38)
  • Video – Finding Compass Bearing (4:10)
  • Video – Distance using Compass Bearing (3:33)
True Bearings
  • Video – State the True Bearing (5:30)
  • Video – Sketching True Bearing (1:54)
  • Video – Finding True Bearing (4:27)
  • Video – Distance using True Bearing (6:28)
  • Video – Understanding of Bearing (4:29)
  • Video – Sketching Diagrams using Bearing (3:33)
  • Video – Finding the Bearing (8:56)
  • Video – Finding the Distances using Bearing (4:49)
CIRCLES
Circumference
  • Video – Circumference of a Circle (7:27)
  • Topic – Finding Circumference of a Circle 1
  • Topic – Finding Circumference of a Circle 2
  • Topic – Circumference and Area of a Circle 1
  • Topic – Circumference and Area of a Circle 2
Area of Circles
  • Video – Area of Basic Circles (6:50)
  • Video – Area of Circles and Composite Shapes (7:20)
  • Video – Area of Circles (4:49)
  • Video – Finding Radius & Diameter given Area of Circles (1:45)
  • Video – Area of Circles using Radius (2:34)
  • Video – Area of Circles using Diameter (1:36)
  • Video – Finding Radius using Area of Circles (2:17)
  • Video – Area of Annulus using Radius (4:22)
  • Video – Area of Annulus using Diameter (1:39)
  • Video – Area of Half Annulus (2:10)
Arc Length in Degrees
  • Video – Length of an Arc (7:59)
  • Video – Arc of a Circle (2:29)
  • Video – Radius and Arc of a Circle (3:24)
  • Video – Perimeter of Circles and Composite Shapes (4:50)
  • Video – Finding Length of an Arc (1:33)
  • Video – Finding the Radius using Arc Length (1:53)
  • Video – Perimeters of Sectors using Arc Length (2:52)
  • Video – Perimeters of Shapes involving Rectangles and Circles (2:58)
  • Video – Perimeters of Composite Shapes involving Circles (4:42)
  • Video – Arc Length of a Sector Formula (2:02)
  • Video – Finding Arc Length of a Sector (5:04)
  • Video – Applications of Length of an Arc (5:38)
  • Topic – Finding Arc and Perimeter of a Sector 1
  • Topic – Finding Arc and Perimeter of a Sector 2
  • Topic – Finding Arc and Perimeter of a Sector 3
  • Topic – Finding Arc and Perimeter of a Sector 4
  • Topic – Finding Radius of a Sector 1
  • Topic – Finding Radius of a Sector 2
NON-RIGHT ANGLED TRIANGLES
Area of Triangles using Sides and Angles
  • Video – Area of a Triangle Formula (3:18)
  • Video – Compound Uses of Area of a Triangle Formula (6:24)
  • Video – Area of a Triangle involving Obtuse Angle (3:53)
  • Video – Area of Triangle Formula (8:31)
  • Video – Area of Triangle involving Parallelograms & Kites (4:52)
Sine Rule
  • Video – Finding Sides using Sine Rule (6:42)
  • Video – Finding Angles using Sine Rule (4:24)
  • Video – Sine Rule for Finding Sides (7:02)
  • Video – Sine Rule for Finding Angles (6:06)
  • Video – Sine Rule with Obtuse Angles (3:47)
  • Video – Sine Rule Formula (2:49)
  • Video – Finding Unknown Sides using Sine Rule (6:53)
Applications of Sine Rule
  • Video – Sine Rule in Triangular Fields (5:27)
  • Video – Sine Rule involving Acute and Obtuse Angle Bearings (5:45)
  • Video – Sine Rule in Isosceles Triangles (2:29)
  • Video – Sine Rule involving Reflex Angle Bearings (4:59)
  • Video – Finding Partial Lengths using Sine Rule (4:31)
  • Video – Sine Rule Applications (7:34)
  • Video – Sine Rule involving Similar Triangles (3:02)
Cosine Rule
  • Video – Finding Sides using Cosine Rule (9:20)
  • Video – Formula for Angles using Cosine Rule (3:40)
  • Video – Finding Angles using Cosine Rule (7:44)
  • Video – Cosine Rule for Finding Sides (7:22)
  • Video – Cosine Rule for Finding Angles (4:08)
  • Video – Cosine Rule Formula (3:23)
  • Video – Find Sides using Cosine Rule (6:17)
  • Video – Cosine Rule Formula for Finding Angles (4:04)
  • Video – Calculating Angles using Cosine Rule (4:05)
  • Video – The Smallest and Largest Angles using Cosine Rule (4:15)
Applications of Cosine Rule
  • Video – Smallest and Largest Angles using Cosine Rule (4:47)
  • Video – Cosine Rule involving Sine Rule (4:01)
  • Video – Cosine Rule involving Reflex Angle Bearings (6:37)
  • Video – Cosine Rule involving Obtuse Angle Bearing (5:57)
  • Video – Cosine Rule involving Pythagoras (2:06)
  • Video – Finding Sides and Angles using Cosine Rule (2:38)
  • Video – Finding Area of a Triangle using Cosine Rule (2:35)
  • Video – Cosine Rule involving Bearings (9:16)
VORONOI DIAGRAMS
Understanding Voronoi Diagrams
  • Topic – Number of Cells (Regions)
  • Topic – Number of Edges
  • Topic – Number of Vertices
  • Topic – Number of Sites
  • Topic – Closest Sites
  • Topic – Description of Voronoi Diagrams
  • Topic – Equidistant Sites in Voronoi Diagrams
  • Topic – Sites and Points in Voronoi Diagrams
  • Topic – Circles in Voronoi Diagrams
Constructing Voronoi Diagrams
  • Topic – Constructing Voronoi Diagrams for Two Sites 1
  • Topic – Constructing Voronoi Diagrams for Two Sites 2
  • Topic – Labelling Edges
  • Topic – Perpendicular Bisectors in Voronoi Diagrams
  • Topic – Missing Edges in Voronoi Diagrams 4 Sites
  • Topic – Missing Edges in Voronoi Diagrams 5 Sites
  • Topic – Missing Sites in Voronoi Diagrams
Adding Sites to Voronoi Diagrams
  • Topic – Adding Sites to Voronoi Diagrams 1
  • Topic – Adding Sites to Voronoi Diagrams 2
Nearest Neighbour Interpolation
  • Topic – Nearest Neighbour Interpolation: Rainfall
  • Topic – Nearest Neighbour Interpolation: Temperature
The Largest Empty Circle Problem
  • Topic – The Largest Empty Circle of Three Sites
  • Topic – The Largest Empty Circle of Four Sites
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