Cartesian form
Read complex numbers as coordinates, then use conjugates to multiply and divide.
Domain
Number and algebra
Sequences, proof, complex numbers and algebraic structure for Mathematics: Analysis and Approaches HL.
9 concepts
Concepts
Binomial theorem
Read each coefficient as a count of choices, and distinguish a finite identity from a local expansion.
Complex numbers
Use polar form to interpret multiplication, powers and roots as changes of scale and angle.
Counting
Decide whether order changes the outcome before choosing a counting formula.
Learn: Exponents and logarithms: inverse operations
Learn: Solving exponential and logarithmic equations
Practice: Exponents and logarithms: inverse operations Practice
Practice: Solving exponential and logarithmic equations Practice
Test: Exponents and logarithms: inverse operations Test
Test: Solving exponential and logarithmic equations Test
Proof
Use definitions to make a general argument, or show that the opposite claim cannot hold.
Sequences and series
Recognize arithmetic and geometric structure, then choose a valid formula for a term or sum.
Systems of linear equations
Treat a solution as a point that must satisfy every constraint at the same time.
Mathematical induction
Construct and evaluate proofs by mathematical induction, including a valid base case and inductive step.