1,043 prompts matching "Learn: The Pythagorean identity, sin squared plus cos squared equals one"
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Show All Working: Why a conditional and its converse are not equivalent
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on why a condition
Final Revision: A conditional statement set in an everyday situation
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Practice: What logical equivalence means
Act as my SS2 Further Mathematics tutor. Give me five practice questions on what logical e
Explain Back: Showing two statements equivalent by truth table
I have just studied showing two statements equivalent by truth table in my SS2 Further Mat
Spot My Mistake: De Morgan's laws in logic
Act as my SS2 Further Mathematics tutor. Work a question on de Morgan's laws in logic with
Worked Example: What a contradiction is
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on what a
Quiz: What a contingency is
Act as my SS2 Further Mathematics tutor and quiz me on what a contingency is. Ask five que
Practice: Showing that a statement is a tautology
Act as my SS2 Further Mathematics tutor. Give me five practice questions on showing that a
Explain Back: Showing that a statement is a contradiction
I have just studied showing that a statement is a contradiction in my SS2 Further Mathemat
Common Mistakes: Deciding between tautology, contradiction and contingency
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on dec
Final Revision: A longer statement tested for tautology
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Worked Example: Premises and conclusion
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on premis
Quiz: Modus ponens
Act as my SS2 Further Mathematics tutor and quiz me on modus ponens. Ask five questions on
Practice: Modus tollens
Act as my SS2 Further Mathematics tutor. Give me five practice questions on modus tollens,
Spot My Mistake: Disjunctive syllogism
Act as my SS2 Further Mathematics tutor. Work a question on disjunctive syllogism with one
Final Revision: An argument written in words and tested for validity
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Worked Example: Arranging r of n objects in a line
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on arrang
Quiz: Arrangements of a word with no repeated letters
Act as my SS2 Further Mathematics tutor and quiz me on arrangements of a word with no repe
Practice: Arrangements of a word with repeated letters
Act as my SS2 Further Mathematics tutor. Give me five practice questions on arrangements o
Spot My Mistake: Arrangements with two particular items adjacent
Act as my SS2 Further Mathematics tutor. Work a question on arrangements with two particul