Standards Unit C5: Stationary Points of Cubics 1 to 2 hours. Teams of 2. Core 1 or 2 Suitable for quite early stage LEARNING of finding Stationary Points.

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Standards Unit C5: Stationary Points of Cubics 1 to 2 hours. Teams of 2. Core 1 or 2 Suitable for quite early stage LEARNING of finding Stationary Points. Do this BEFORE students do independent work to calculate Stationary Points. ?

Consumable Resources Needed: Re-usable Resources Needed: Card Set A Camera. Definitely. …. Sheet 1 for each student. Each pair needs just 6 of the consumable card from Card Set B. Print sheet 1 on place coloured PAPER 25 sheets to start with. Print card Set A on Yellow Card. 10 sets? Print card Set B on White Card (consumable). 9 sheets to start with. Print card Set C on white PAPER. 20 sheets to start with.

Card Set A

Card Set B

Card Set C

Students start with

Calculus: Reviewing Stationary Points Work individually on a mini-whiteboard Verbal Q. Who can describe the general process of determining Stationary Points? Q1 Q2 Q3 Q4

Q5 What can you say about the shape of a quadratic graph? Sketch some different quadratic graphs. How many maxima or minima does a quadratic have? Q6 What can you say about the shape of a CUBIC graph? Sketch some different cubic graphs. How many maxima and minima does a cubic usually have?

Card Sorting Activity – in Pairs The cards describe 3 different cubic functions and the steps to find their Stationary Points. Your task is to sort the cards into an order that gives the solutions. Cubic function Differentiate Turning Point Coords Second Differential Minima is …………. Maxima is …………. 3 Functions. 8 steps to each solution + ‘answer’ cards Extension: Find examples of cubics with only one or zero S.P.’s

Card Sorting Activity – in Pairs The cards describe 3 different cubic functions and the steps to find their Stationary Points. Your task is to sort the cards into an order that gives the solutions. Cubic function Differentiate Turning Point Coords Second Differential Minima is …………. Maxima is …………. 3 Functions. 8 steps to each solution + ‘answer’ cards PAUSE Next steps: 1.Compare your work with other teams’ work. Check the orders are correct. 2. Then, using larger paper ‘cards’, add 7 short descriptions below each card explaining the purpose of the step. 3. Draw a sketch of the graph of each cubic on the 8 th paper card, and add it to the end of each row. Mark the S.P.s

Card Sorting Activity - Assessment Geogebra Make some quick notes on any important points you’ve learnt, or things that have tripped you up. Working individually… Now complete Worksheet A.

Note: These are not good sketch graphs. Why not? [The full detail was been left off in order to make matching them harder for you]. Worksheet A : Answers