Proving That an Answer Must Be True (Teach This Topic)
This guide supports a home-educating parent in teaching the difference between an answer that seems correct and a conclusion that must be true. Open Full Article...
counterexamples
Proving That an Answer Must Be True (Parent Q&A)
This guide explains the main ideas in the lesson about mathematical proof and certainty. Open Full Article...
Proving That an Answer Must Be True
What separates an answer that looks right from one that must be right? A correct result does not, by itself, show why it cannot be different. Open Full Article...
Finding Patterns and Testing Conjectures (Parent Q&A)
This guide explains how the lesson moves from noticing patterns to forming, testing and refining conjectures. Open Full Article...
Finding Patterns and Testing Conjectures
If a pattern has worked every time it has been checked, must it always be true? Open Full Article...
Finding Patterns and Testing Conjectures (Teach This Topic)
This guide supports a conversation about how mathematicians move from noticing patterns to making and testing precise conjectures. Open Full Article...
Using Algebra to Prove a Pattern (Parent Q&A)
This guide explains how algebra can prove that a pattern or general statement is true in every permitted case. Open Full Article...
Using Algebra to Prove a Pattern
If a pattern works for the first ten examples, how do we know it will still work for the millionth? Open Full Article...
Using Algebra to Prove a Pattern (Teach This Topic)
This guide supports you in teaching how algebra can prove that a numerical statement is true for every permitted value. Open Full Article...