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Year 12 Term 2
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Year 12 Term 2
Ages 16 +
Rotations and Reflections
How to rotate and reflect an object using matrices.
Ages 16 +
Performing Enlargements using Matrices
How to stretch an object using a transformation matrix.
Ages 16 +
Successive Transformations
Further Mathematics: Linear Transformations
Ages 16 +
Transformations in 3D
How to perform and describe transformations in 3D using a transformation matrix.
Ages 16 +
Reverse Transformations
How to use inverse matrices to reverse linear transformations.
Ages 16 +
Proving Sums of Series
How to prove results about sums of series using mathematical induction
Ages 16 +
Proving Divisibility Statements
How to prove results about divisibility using mathematical induction.
Ages 16 +
Proving Statements about Matrices
How to prove results about matrices using mathematical induction.
Ages 16 +
Volumes of Revolution about x-axis
How to find the volume of a revolution when a function is rotated around the x-axis.
Ages 16 +
Volumes of Revolution about y-axis
How to find the volume of a revolution when a function is rotated around the y-axis.
Ages 16 +
Composite Volumes of Revolution
How to find the volume of revolution of composite solids.
Ages 16 +
Modelling with Volumes of Revolution
How to model real-life objects using the volume of revolution.
Ages 16 +
Vector Equation of a Line
How to find the vector and Cartesian equation of a line in three dimensions.
Ages 16 +
Vector Equation of a Plane
How to find a plane's vector and Cartesian equation.
Ages 16 +
Scalar Dot Product
How to find the vector product for two 3D vectors.
Ages 16 +
Angle Between a Line and Plane
How to find angle between two lines using the scalar product.
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