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Cube/Cuboid
Surface Area & Volume of a Cube and Cuboid
Surface Area and Volume of Cube/Cuboid
Area of Walls and Ceilings
Surface Area of Walls and Ceilings
Closed and Open Boxes without Thickness
Closed and Open Boxes without thickness
Closed and Open Boxes with Thickness
Volume of Closed and Open Boxes with Thickness
Volume Conversions
Volume Conversions
Objects that Fit
Finding the number of objects that fit
Cylinder
Volume of a Cylinder
Volume of a Cylinder
Volume of Cylinder involving an Embankment
Volume of a Cylinder involving an Embankment
Surface Area of a Cylinder
Surface Area of a Cylinder
Volume & Surface area of a Cylinder involving ratios - MYP 4
Volume and Surface Area Involving Ratios
Finding Volume based on Surface Area
Finding Volume based on Surface Area
Volume and Surface Area of Hollow Cylinder with Thickness
Volume and Surface Area of a Hollow Cylinder
Volume conversions Cylinder
Volume Conversions/ Rise in level
Percentage Changes
Finding Percentage Changes
Water running through a pipe
Water running through a pipe
Circles and Sectors
Area and Circumference of circle
Area and Circumference of Circle
Area of ring
Area of Ring
Area and Perimeter of half quarter circle
Area and Perimeter of Half and Quarter Circles
Distances involving Revolutions
Area and perimeter of sector
Area and Perimeter of Sector
Area and Perimeter of Sector Ring
Area and Perimeter of Sector Ring
Combination of shapes
Combination of Shapes
Shape Transformations
Shape Transformations
Area Involving Smaller Circle & Larger Sheet
Area Involving Smaller Circle & Larger Sheet
Sphere/Hemisphere
Sphere - Volume and Surface Area
Surface Area and Volume of Spheres
Volume and Surface Area of a Hemisphere
Surface Area and Volume of Hemispheres
Volume of Spheres and Hemispheres with thickness
Volume of Spheres and Hemispheres with thickness
Surface Area of Sphere and hemisphere with thickness
Surface Area of Spheres and Hemispheres with Thickness
Increase in level of liquids
Increase in Level of Liquids
Volume Conversion
Volume Conversions
Cone
Volume of a Cone
Volume of a Cone
Surface Area of a Cone - Basics
Surface Area of a Cone - Basics
Surface Area of a Cone - Application
Surface Area of a Cone - Application
finding Volume from surface area
Finding volume from surface area
Finding Surface Area from Volume
Finding surface area from volume
Cones involving sectors
Cones Involving Sectors
Cones with frustum
Frustum
Pyramids
Triangular based pyramid - volume & surface area
Triangular Base Pyramid – Volume & Total Surface Area
Square based Pyramid
Square Based Pyramid – Volume & Total Surface Area
Rectangle Based Pyramid with Perpendicular height
Rectangular Based Pyramid – Volume & Total Surface Area (when perpendicular height is given)
Rectangle Based Pyramid with Slant height
Rectangular Based Pyramid – Volume & Total Surface Area (When slant height is given)
Octahedron - Regular with Square base
Regular Octahedron - Volume & Total Surface Area
Octahedron - Irregular with Square base
Irregular Octahedron with Square Base
Octahedron - Irregular with Rectangular base
Irregular Octahedron with Rectangular Base
Combination of Solids
Combination - Cylinder + Cone
Cylinder + Cone
Combination - Cone + Hemisphere
Cone + Hemisphere
Combination - Cylinder + Hemisphere
Cylinder + Hemisphere
Combination - Cube + Hemisphere Cylinder
Cube + Cylinder/Hemisphere
Prisms
Triangular Prism
Triangular Prism (Equilateral and Isosceles)
Right-Angled Triangular Prism
Triangular Prism (Right Angled Triangle)
Trapezoidal Prism
Trapezoidal Prism
Pentagonal Prisms
Pentagonal Prisms
Hexagonal Prisms
Hexagonal Prisms
Wedges
Wedges
Irregular Shaped solids
Irregular Prisms
Prisms with Holes
Prisms with Holes
Points in Space
Identify the axisplane
Identify the axis/plane that the point is on
Finding the distance between 2 points
Finding the distance between 2 points
Finding the midpoint between 2 points
Finding the midpoint between 2 points
Finding unknown values
Finding unknown values
Determining the shape
Determining the shape
3 D shapes
Determining the coordinates of the given points (No GDC)
Determining the volume of the 3D shape
Determining the surface area of the 3D shape
Right-Angled Trigonometry Basics
Identify the Sides
Identifying the hypotenuse, adjacent, and opposite sides
Identifying the Ratio
Identifying the trigonometric ratio
Finding the Value of Ratio
Finding the values of trigonometric ratios when the sides are given
Finding Side Lengths
Finding unknown side lengths
Finding Angle Values
Finding the value of the angle
Trigonometry in Combined Triangles
Combination of two triangles
Right-Angled Trigonometry in Geometric Figures
Trigonometry in Triangles
Trigonometry in Triangles
Trigonometry in Rectangles
Trigonometry in Rectangles
Trigonometry in Rhombus
Trigonometry in Rhombus
Trigonometry in Kites
Trigonometry in Kites
Trigonometry in Trapezia
Trigonometry in Trapezia
Trigonometry in Circles
Trigonometry in Circles
Trigonometry in Polygons
Trigonometry in Polygons
Word Problems
Problem solving Trigonometry – Angles of Elevation and Depression in Right Angled Triangles
Concept of Angle of Elevation and Depression
Trigonometry in Single Triangles
Right-Angled Trigonometry in Single Triangles
Trigonometry Involving Two Angles of Elevation
Right-Angled Trigonometry involving Two Angles of Elevation
Trigonometry Involving Two Angles of Depression
Right-Angled Trigonometry involving Two Angles of Depression
Trigonometry Involving Angle of Elevation and Depression
Right-Angled Triangles Involving Angle of Elevation and Depression
Trigonometry Involving Moving Objects
Right-Angled Trigonometry involving Moving Objects
Angle Between a Line and Plane (3D Trigonometry)
Identifying Projection Lines
Identifying projection lines
Identifying the angle
Identifying the angle between the line segment and base plane
Finding the Measurements
Determining the measurements of the given sides
Finding the Angle Measurement
Determining the measurement of the angle between the line segment and base plane
Trigonometry using 3 D shapes
Word Problems on 3 D Trigonometry
Bearings
Concept & determination of direction
Identify the bearing from the diagram
Bearings involving direction
Back Bearing
Back Bearing
Single Bearing sums
Single Bearing Sums
Double Bearing sums
Double Bearing Sums (involving Right Angled Triangle)
Bearing in Triangles
Bearings in Triangles
Area of a Non-Right Angled triangle
Area of Non-right Angled Triangle
Calculating the Area of A Non-right Angled Triangle
Calculating Area of a Triangle
Calculating Area of a Equilateral /Isosceles Triangles
Finding Missing Dimensions
Finding Missing Dimensions when the Area is given
Finding the area of Quadrilaterals
Finding the area of Quadrilaterals
Finding the area of Polygons
Finding the Area of Polygons
Finding the area of Miscellaneous shapes
Area of Miscellaneous Shapes
Sine Rule
Concept of Sine Rule
Basic sums of sine rule
Finding side lengths when diagram is given
Finding side lengths by creating diagrams
Finding multiple side lengths
Sine Rule in Combined Triangles
Sine rule in combined triangles
Sine Rule Using Standard Angles
Sine rule using standard angles
Finding the missing angle
Finding the missing angle (with diagram provided)
Finding the missing angle (without the diagram)
Possible values of an angle
Finding the possible measures of the angle
Cosine Rule
Derivation of cosine rule
Finding the measurement of the side
Finding the measurement of the side (with diagram)
Finding the measurement of the side (without diagram)
Finding the measurement of the Angle
Finding the measurement of the angle
Finding the measurement of the angle (without diagram)
Using Unknowns in Cosine Rule
Using Unknowns
Application of Cosine Rule
Application of Cosine Rule
Word Problems
Advanced trigonometry word problems
Word Problems - Basics
Advanced Trigonometry in Geometric Figures
Advanced Trigonometry in Geometric Figures
Advanced trigonometry Involving Bearings
Problems Involving Bearings
Length of the Shortest Path
Length of the shortest path
Voronoi Diagrams
Voronoi Diagrams
Basic Concepts
Equation for Constructing Voronoi
Determining the equation for constructing a Voronoi Diagram
Coordinates of Vertex
Coordinates of the Vertex
Coordinates of Missing Site
Determining the missing site
Adding a New Site
Adding a site to existing ones
Nearest Neighbour Interpolation
Nearest Neighbour Interpolation
Largest Empty Circle
Largest empty circle