happy before Note: Although this has not meanings. Use A3 paper and proceeding (Resource in action: includes teacher support see UM) been covered thoroughly on give students time to share – the A Level in recent years ideas with other groups. question from Khan and hence legacy resources Students can use devices to Academy are a little limited, there are take a photo of the final some older text books that versions. contain good explanations eg Pure Mathematics 2 by Home Learning Bostock & Chandler on Extension: refer to sufficient and necessary conditions for a point to be an inflection point (link to mathematical terminology and proof) see – page from Wolfram Mathworld Starter Main teaching Notes Consolidation/Plenary Including key questions, key teaching points, models and Including Support and Including key questions and resources Extension homework 4 LO: Differentiate using the chain rule Support Plenary Several questions Maths centre videos available from legacy for students needing extra (note will need to leave out – resources / text Introduces considering the derivative of composite recap at home second question as students books to practice functions by thinking about translations allows students have covered – won’t finding composite to discover chain rule for themselves. See teaching notes differentiating ln x yet) functions, including for key questions. (could use this for starter if class Several detailed Khan backwards already confident with composite functions) academy videos Home Learning questions eg find Integral exercise level 1 / 2 functions f(x) and Then introduce the chain rule formally, both versions i.e. (differentiate according to ability) g(x) such that fg(x) = = and dy/dx = dy/du x du/dx. or practice from legacy [fg(x)]’ f’[g(x)]g’(x) (2x+1)3 or similar. resources. Or questions from Khan Academy (not a free resource sort cards to cut up and show the Or MyMaths/Y2/Chain Rule – process of finding the derivative of four functions) (but includes some e and ln) Particular examples to cover: Or MyMaths/Y2/Differentiating
happy before proceeding question from Khan Academy (Resource in action: includes teacher support – see UM) Note: Although this has not been covered thoroughly on the A Level in recent years and hence legacy resources are a little limited, there are some older text books that contain good explanations eg Pure Mathematics 2 by Bostock & Chandler on Extension: refer to sufficient and necessary conditions for a point to be an inflection point (link to mathematical terminology and proof) – see page from Wolfram Mathworld meanings. Use A3 paper and give students time to share ideas with other groups. Students can use devices to take a photo of the final versions. Home Learning Starter Main teaching Including key questions, key teaching points, models and resources Notes Including Support and Extension Consolidation/Plenary Including key questions and homework 4 Several questions from legacy resources / text books to practice finding composite functions, including backwards questions eg find functions f(x) and g(x) such that fg(x) = (2x+1)3 or similar. Or questions from Khan Academy LO: Differentiate using the chain rule Introduces considering the derivative of composite functions by thinking about translations – allows students to discover chain rule for themselves. See teaching notes for key questions. (could use this for starter if class already confident with composite functions) Then introduce the chain rule formally, both versions i.e. [fg(x)]’ = f’[g(x)]g’(x) and dy/dx = dy/du x du/dx. (not a free resource – sort cards to cut up and show the process of finding the derivative of four functions) Particular examples to cover: Support Maths centre videos available for students needing extra recap at home Several detailed Khan academy videos Plenary (note – will need to leave out second question as students won’t have covered differentiating ln x yet) Home Learning Integral exercise level 1 / 2 (differentiate according to ability) or practice from legacy resources. Or MyMaths/Y2/Chain Rule (but includes some e and ln) Or MyMaths/Y2/Differentiating
26_differentiation_a2_bom_sow.docx