Starter Task 1)Collect your folders 2)Turn to page 11 in your booklets. 3)Answer the questions from Exercise C

Quadratic Models 4 Aim: To know how to complete the square algebraically.

How to complete the square? Examples: y = x 2 + 6x – 5y = x x + 8

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.

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

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 x + 3

Practice Task Try exercise D on pages 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.

Exam style task These tasks aim to bring together the skills you have looked at so far. Work through class example 6 pages and class example 7 pages There are a few points we will discuss as you get to them.

P.A.A

Tangent

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.

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.

P.A.A You should have already looked at this with Alan. There is a reminder on page 27 of your quadratics booklet also.

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.

Don’t forget Homework is due next lesson! Question 1 and 4 from Exercise 2.5 in the pink algebra textbook. On pages Question 1 – Write out the equation and copy of the sketch. Question 4 – Make sure you describe the transformations fully.