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Published byAmelia Mason Modified over 9 years ago
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Starter Task 1)Collect your folders 2)Turn to page 11 in your booklets. 3)Answer the questions from Exercise C
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Quadratic Models 4 Aim: To know how to complete the square algebraically.
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How to complete the square? Examples: y = x 2 + 6x – 5y = x 2 + 10x + 8
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Mini White Board Questions Answer each question as quickly and accurately as possible. If you are not sure give things a go and we will explain each question as we go along. Please show your steps of working out.
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Matching Puzzle Find a card with a quadratic in expanded form. Complete the square You should find your answer if correct on a different card. Your aim is to join up all the cards. Extension questions: there are a couple of cards with 2x 2 or 3x 2
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Negative x 2 If the x 2 term is negative we need to deal with this before we can complete the square. Examples: y = -x 2 + 8x – 2y = -x 2 - 12x + 3
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Practice Task Try exercise D on pages 12-13 in your booklet. Show all working out to complete the square. You are also asked to sketch the quadratic after. Remember: use the completed square form to find the vertex to help your sketch.
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Exam style task These tasks aim to bring together the skills you have looked at so far. Work through class example 6 pages 14-15 and class example 7 pages 16- 18. There are a few points we will discuss as you get to them.
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P.A.A
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Tangent
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Stopping Distances Investigation Collect an i-pad and a worksheet with instructions. You will also need to turn to page 19 and 20 in your booklet as there are questions to answer. Take your time to find a model that is a good fit to the data.
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Table Mode Press the mode key. Choose Table Enter your starting value. Enter your ending value. Enter your desired step. Hey presto! You should have a table of data.
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P.A.A You should have already looked at this with Alan. There is a reminder on page 27 of your quadratics booklet also.
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Tangent To find the gradient of a curve you must draw a tangent. A tangent is a line that just touches the curve at the desired point. Draw this using a ruler and make a triangle to find the gradient. Remember gradient is up / across Be very careful with the scales on the axes.
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Don’t forget Homework is due next lesson! Question 1 and 4 from Exercise 2.5 in the pink algebra textbook. On pages 44-45. Question 1 – Write out the equation and copy of the sketch. Question 4 – Make sure you describe the transformations fully.
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