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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...

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...

Understanding Inequalities on Number Lines (Parent Q&A)

This guide explains the main ideas in the lesson about inequalities and their representation on number lines. Open Full Article...

Understanding Inequalities on Number Lines (Teach This Topic)

This guide supports a home-educating parent in teaching how inequalities describe ranges of values and how those ranges are shown on number lines. Open Full Article...

Understanding Inequalities on Number Lines

If x is greater than 4, does that mean x has one answer or infinitely many possible values? 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...