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AA SL · AA HL · AI SL · Topic 4 · SL 4.9
Connect the normal bell curve with shaded areas, probabilities, the probability density function and the cumulative distribution function.
AA SL · AA HL · AI SL · Topic 4 · SL 4.9
Apply normal CDF, expected frequencies and conditional probability in a worked normal-distribution question.
AA SL · AA HL · AI SL · Topic 4 · SL 4.9
Use normal CDF on the TI-Nspire CX to calculate areas under the bell curve and solve normal probability questions.
AA SL · AA HL · AI SL · Topic 5 · SL 5.1
Find a numerical derivative at a chosen point using three TI-Nspire CX methods.
AA SL · AA HL · AI SL · Topic 5 · SL 5.1
Understand the derivative as the gradient of a curve and interpret values of the gradient function.
AA SL · AA HL · AI SL · Topic 5 · SL 5.1
Connect differentiation, tangent gradients and the gradient function.
AA SL · AA HL · AI SL · Topic 5 · SL 5.2; SL 5.8
Construct sign tables and use them to analyse the signs of expressions.
AA SL · AA HL · AI SL · Topic 5 · SL 5.2
Use the sign of the derivative to identify intervals of increase and decrease.
AA SL · AA HL · AI SL · Topic 5 · SL 5.2
Read the sign of the derivative and use a sign table to sketch the original function.
AA SL · AA HL · Topic 5 · SL 5.2; SL 5.7
Plot and analyse the first and second derivative functions on a TI-Nspire CX.
AA SL · AA HL · AI SL · Topic 5 · SL 5.3
Interpret the gradient of a curve as the gradient of its tangent at a point.
AA SL · AA HL · AI SL · Topic 5 · SL 5.3
Apply the power rule for differentiation through nine worked examples.
AA SL · AA HL · AI SL · Topic 5 · SL 5.3
Learn the power rule and apply it to differentiate powers of x.
AA SL · AA HL · AI SL · Topic 5 · SL 5.3
Simplify products and quotients of powers before applying the power rule.
AA SL · AA HL · Topic 5 · SL 5.3; SL 5.6
Differentiate sums and differences of functions and apply the constant-multiple rule in worked examples.
AA SL · AA HL · AI SL · Topic 5 · SL 5.4
Find the equation of a tangent using the point on the curve and its derivative.
AA SL · AA HL · AI SL · Topic 5 · SL 5.4
Find the equation of a normal using its point and perpendicular gradient.
AI SL · Topic 5 · SL 5.5
Evaluate definite integrals on the TI-Nspire CX II using three calculator methods.
AI SL · Topic 5 · SL 5.5
Calculate the area under a curve using a definite integral on the TI-Nspire CX.
AA SL · AA HL · AI SL · Topic 5 · SL 5.11; SL 5.5
Evaluate a definite integral graphically on a TI-Nspire CX.
AA SL · AA HL · Topic 5 · SL 5.6
Apply useful chain-rule shortcuts to common composite functions.
AA SL · AA HL · Topic 5 · SL 5.6
Differentiate composite functions with the chain rule.
AA SL · AA HL · Topic 5 · SL 5.6
Differentiate products of functions using the product rule.
AA SL · AA HL · Topic 5 · SL 5.6
Differentiate quotients of functions with a step-by-step quotient-rule method.
