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.
