Student resource · Year 12 · PDF
Algebraic Methods and Proof
Develop rigorous algebraic techniques and learn how mathematicians construct and challenge proofs. This Year 12 lesson covers proof by deduction and exhaustion, counter-examples, algebraic fractions,
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What this is
Algebraic Methods and Proof
Description
Develop rigorous algebraic techniques and learn how mathematicians construct and challenge proofs. This Year 12 lesson covers proof by deduction and exhaustion, counter-examples, algebraic fractions, completing the square for non-unit coefficients, and the Factor Theorem for solving cubic equations. Students will apply these methods to formal, exam-style problems.
What You Get
18 structured lesson slides
Clear explanations of deductive proof and proof by exhaustion
Practice disproving statements using counter-examples
Worked examples on dividing algebraic fractions
Step-by-step completion of the square with non-unit coefficients
Applications of the Factor Theorem to cubic equations
An embedded video on mathematical proof
Exam-style practice questions
Interactive checks for understanding
A final review of core concepts and key vocabulary
What you get
18 structured lesson slides
Clear explanations of deductive proof and proof by exhaustion
Practice disproving statements using counter-examples
Worked examples on dividing algebraic fractions
Step-by-step completion of the square with non-unit coefficients
Applications of the Factor Theorem to cubic equations
An embedded video on mathematical proof
Exam-style practice questions
Interactive checks for understanding
A final review of core concepts and key vocabulary
What you receive
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Reuse it freelyPrint and use it as often as you need with your own students.
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