SME
Grade 10 Math
Reasoning and proof: conditional statements and two-column proofs
The main lesson, then each kind of problem it solves.
Reasoning and proof: conditional statements and two-column proofs
Main lesson
Triangle angle sum and exterior angle
Use this for “Side BC is extended to D. m∠A = 52° and m∠B = 71°. Find m∠ACD and m∠ACB.”
Base angles of an isosceles triangle
Use this for “Given AB = AC, prove ∠B = ∠C” and “An isosceles triangle has a 40° vertex angle. What are its base angles?”
Conditional, converse, inverse, contrapositive
Use this for “Write the converse of ‘If two angles are vertical, then they are congruent.’ Is it true?”
Inductive or deductive?
Use this for “Is this conclusion reached by inductive or deductive reasoning?”
Reasons in an algebraic proof
Use this for “Solve 2(x − 3) = 14 and give a reason for each step.”