Maths 11 syllabus

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All Maths 11 learning outcomes

Write complex numbers in standard form
Locate points in three-dimensional space
Use the fundamental counting principle
Find the real and imaginary parts
Use unit vectors and vector components
Solve permutation problems
Know when two complex numbers are equal
Calculate a vector’s magnitude
Solve combination problems
Calculate with complex numbers
Do basic operations with space vectors
Apply counting to real situations
Use the complex conjugate
Prove the laws of vector addition
Find a complex number’s modulus
Understand the dot product
Solve complex simultaneous equations
Calculate a dot product from components
Factor a polynomial over the complex numbers
Test whether vectors are perpendicular
Solve a complex quadratic by completing the square
Find the angle between vectors
Understand polar coordinates
Project one vector onto another
Write a complex number in polar form
Calculate work with vectors
Calculate with polar complex numbers
Solve everyday problems with vectors
Solve polar-form equations and inequalities
Understand the cross product
Use complex numbers in applications
Find an angle with a cross product
Perform matrix operations
Apply dot and cross products in context
Calculate a 3 by 3 determinant
Understand the scalar triple product
Find a matrix inverse and rank
Calculate a scalar triple product
Tell consistent systems from inconsistent ones
Relate dot and cross products in a triple product
Solve a nonhomogeneous 3 by 3 system
Find volumes with three vectors
Solve a homogeneous 3 by 3 system
Test whether vectors are coplanar
Apply matrices to real problems
Apply vectors in three-dimensional problems
Work with arithmetic sequences
Establish the basic trigonometric law
Work with geometric sequences
Derive key angle identities
Identify arithmetic and geometric sequences
Turn products into trigonometric sums
Work with harmonic sequences
Find trigonometric domains and ranges
Sum common natural-number powers
Recognize symmetry and periodicity
Use arithmetic-geometric series
Find trigonometric maximum and minimum values
Understand vehicle leasing costs
Graph and use sine, cosine, and tangent
Solve vehicle-leasing problems
Read the features of trig graphs
Apply sequences and series in real life
Apply trigonometry to real situations
Build a mathematical induction argument
Prove statements by induction
Communicate and test mathematical conclusions
Expand powers with the Binomial Theorem
Understand the natural-number limit of binomial expansion
Find coefficients with Pascal’s triangle
Simplify binomial expansions
Approximate values with binomial expansion
Find large-power remainders
Use binomial patterns for number tests
Apply induction and binomials in context
Divide polynomials and read the remainder
Apply the Remainder Theorem
Factor a cubic with the Factor Theorem
Use polynomial theorems in applications