Mathematics Questioning Skills Flashcards

1
Q

How should you ask about solving a quadratic equation?

A

Solve the quadratic equation x2−5x+6=0x^2 - 5x + 6 = 0x2−5x+6=0 step by step, explaining each part clearly.”

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2
Q

What’s a common mistake when asking about trigonometry?

A

Avoid vague questions like “Explain trigonometry.” Instead, ask for specifics: “What’s the sine rule and how do you apply it?”

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3
Q

How do you request a breakdown of geometric concepts?

A

Can you explain how the Pythagorean theorem applies to right-angled triangles?

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4
Q

How should you ask for practice with algebraic fractions?

A

Can you provide 5 practice questions on simplifying algebraic fractions, with solutions?

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5
Q

What’s an effective way to ask for exam tips in mathematics?

A

What are the key points I should remember when solving simultaneous equations in a GCSE exam?

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6
Q

How should you phrase a question about probability?

A

Can you explain how to calculate the probability of two independent events occurring?

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7
Q

How do you ask about transformations in geometry?

A

Explain the difference between translation, reflection, rotation, and enlargement with examples.

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8
Q

What’s an effective way to ask about solving linear inequalities?

A

Can you provide a step-by-step guide for solving the linear inequality 2x−5≥32x - 5 \geq 32x−5≥3?

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9
Q

How should you ask about using graphs in mathematics?

A

Can you explain how to plot and interpret a quadratic function on a graph?

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10
Q

What’s the best way to ask about arithmetic and geometric sequences?

A

Can you explain the difference between arithmetic and geometric sequences and give examples?

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11
Q

How should you ask about quadratic formula application?

A

Can you show how to apply the quadratic formula to solve x2−4x−5=0x^2 - 4x - 5 = 0x2−4x−5=0?

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12
Q

How do you request an explanation of rates of change?

A

Can you explain how to calculate the rate of change from a graph and give an example?

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13
Q

How do you ask about logarithms in mathematics?

A

Can you explain the relationship between logarithms and exponents with an example?

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14
Q

How do you ask for help with solving simultaneous equations?

A

Can you solve the following simultaneous equations: 2x+y=102x + y = 102x+y=10 and x−y=2x - y = 2x−y=2?

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15
Q

What’s an effective way to ask for clarification on inverse functions?

A

Can you explain what an inverse function is and provide an example?

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