1,045 prompts matching "Function machines as an introduction to function notation"
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Give me common mistakes students make in polynomials and the remainder/factor theorems
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Create flashcard questions for Further Maths topics
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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Real-life application of the condition for a line to be tangent to a curve
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Show that command word: quadratic factorisation
I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma
Give your answer correct to command word: quadratic formula
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Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Find k command word: line tangent to a curve
I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh
Spot My Mistake: Solving a quadratic that must be rearranged before factorising
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Worked Example: Substituting a, b and c into the quadratic formula correctly
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Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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