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 = x2 + 6x – 5 y = x2 + 10x +

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 2x2 or 3x2

Negative x2

If the x2 term is negative we need to deal with this before we can

complete the square.Examples:y = -x2 + 8x – 2 y = -x2 -

12x + 3

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.

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.

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 44-45.• Question 1– Write out the equation and copy of the

sketch.

• Question 4– Make sure you describe the transformations

fully.