Reasoning [R]

Reasoning [R]

Think / Reason

Link back to Sr. High Math


(The Alberta 10-12 Mathematics Program of Studies with Achievement Indicators 2008, Alberta Education)

"Mathematical reasoning helps students think logically and make sense of mathematics." (pg. 9)

"The thinking skills developed by focusing on reasoning can be used in daily life in a wide variety of contexts and disciplines." (pg. 9)

Thoughts on Reasoning

The following are examples where inductive and deductive reasoning may be used throughout the mathematics curriculum:

M30-1 Trigonometric Identities

Known Identities are used to prove new Identities.

  • Strategies for Proving Trigonometric Identities (Original & KEY)

M30-1 Matching Activity

  • Matching Rational Function Equations with Graphs using a conceptual approach (go to Activity )


M20-2 If this is true ... then ...
The premise behind these activities is that students have to look at the true statements that are given and use reasoning to then be able to solve further problems.
M10-C Investigate Negative Exponents
This investigation asks students to explore what happens when exponents become negative.
I usually complete the first chart with the students and then ask them to do the next chart and continue with the questions on the next page.
Last modified: Wednesday, 30 October 2013, 11:00 AM