Topic 1.6 concerns the ability to prove that an expression on the left-hand side (LHS) is equivalent (
) to what's on the right-hand side (RHS). By the end of the section, you will be able to conduct deductive proofs, both numerical and algebraic.
To prove equivalence, you should be able to work from one side of the “equation” and get to the expression from the other side. (Never and never! put move any terms from one side to the other.)
Hint: In IB, when you see questions start with "Show that … is …”, it means you have to work from one expression to get to the other expression (or show the ways to identify the expression given)
Section Checklist:
- What is the difference between equal and equivalent?
- What are the symbols that we use during the simple deductive proofs?
- What are the 4 steps of deductive proof method?
Section Contents:
A: Notation (Difference between Equal and Equivalent)B: Deductive Proof method
C: Practice Questions
Class Notes:
Link: Notes_Completed PDF Version
Resources:
Section Vocabulary:
- Equal
- Equivalent
- Q.E.D is an abbreviation of the Latin words "Quod Erat Demonstrandum" which loosely translated means "that which was to be demonstrated".