Maths 10 syllabus

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All Maths 10 learning outcomes

Recognize complex numbers, conjugates, and modulus
Perform basic complex-number operations
Use complex-number laws
Find complex-number identities and inverses
Find real and imaginary parts of complex powers
Solve equations with complex solutions
Interpret complex numbers geometrically
Solve real-life complex-number problems
Define quadratic equations
Solve quadratic equations in several ways
Use the quadratic formula
Solve equations reducible to quadratic form
Solve a linear and a homogeneous equation together
Determine the nature of quadratic roots
Relate quadratic roots to coefficients
Evaluate symmetric functions of roots
Form a quadratic equation from its roots
Display information in 2×2 matrices
Multiply a matrix by a scalar
Operate on pairs of matrices
Find a 2×2 determinant and inverse
Solve two-variable systems with matrices
Explain mathematics’ role in science and technology
Apply matrices to real-world problems
Solve one-variable linear inequalities
Solve one-variable quadratic inequalities
Solve two-variable linear inequalities
Identify regions defined by inequalities
Describe rational expressions
Factor and simplify rational expressions
Manipulate algebraic fractions
Operate on rational expressions
Solve rational equations
Apply rational equations to real life
Find a function’s domain and range
Classify functions with Venn diagrams
Evaluate and operate on functions
Find the inverse of a function
Form a composite function
Interpret common function graphs
Find a curve’s gradient using a tangent
Solve a linear-quadratic system graphically
Solve real-life function problems
Set up plane coordinates
Represent vectors as arrows
Build vectors from two basis vectors
Use position vectors
Translate with vectors
Find vector magnitude
Add and subtract vectors
Scale a vector
Solve geometry with vectors
Apply vectors in real situations
Extend sine and cosine
Solve any triangle
Solve 3D trigonometry problems
Use trigonometry in life
Find a circle through three points
Link a radius to a chord
Use the perpendicular-chord theorem
Compare congruent chords
Infer congruence from distance
Relate equal arcs and chords
Relate equal chords and arcs
Relate chords to central angles
Infer equal chords from angles
Apply chord ideas in design
Recognize a tangent
Use the radius-tangent theorem
Compare tangents from one point
Relate touching circles and radii
Compare central and inscribed angles
Use the same-segment theorem
Recognize a semicircle angle
Read an angle in a major segment
Read an angle in a minor segment
Use cyclic-quadrilateral angles
Apply circle angles to design
Locate a circle’s centre
Construct a circle through points
Complete a partial circle
Construct tangents to an arc
Construct a tangent from a point
Build cumulative-frequency graphs
Read quartiles from an ogive
Interpret box plots
Use scatter diagrams
Measure correlation visually
Measure grouped-data spread
Compare data sets
Solve spread problems
Apply dispersion measures
Calculate combined-event probability
Use the addition law
Use the multiplication law