3Thavo § 11A.1 or § 11B.1 Parabola and line

HAVO: § 11A.1  or § 11B.1  Parabola and line
VWO: §11A.3 or   §11B.3
What will this be about?!
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Slide 1: Slide
WiskundeMiddelbare schoolhavoLeerjaar 3

This lesson contains 27 slides, with interactive quizzes and text slides.

time-iconLesson duration is: 50 min

Items in this lesson

HAVO: § 11A.1  or § 11B.1  Parabola and line
VWO: §11A.3 or   §11B.3
What will this be about?!

Slide 1 - Slide

§ 11A.1  or § 11B.1  Parabola and line
In this § you will learn to compare:
+ the formulas for a parabola and for a straight line, but also:
+ the cost and the revenue (opbrengst) of rolls (broodjes)
+ the level of water in differently shaped vases  

Also some 'old stuff' will be looked upon and used again.
Like the Quadratic Formula!
+ Awesome al this. Isn't it?                                           

Slide 2 - Slide

Opinions may differ .....

Maybe you get more excited once we get going!

Slide 3 - Slide

The parabola belongs to a quadratic formula.  
The straight line belongs to a linear formula.
Suppose we want to know where the graphs intersect.
If we want to know the points of intersection, we 
make an equation with both formulas!
See next slides.

Slide 4 - Slide

Slide 5 - Slide

Some practice now!

Slide 6 - Slide

For the 2nd example .....
you need to know (remember) the
Quadratic Formula. This is used to solve a quadratic equation that you cannot solve in a simpler way (like Card Method or Factorising.)
So watch the following 2 slides that explain the Q F once more in full!

Slide 7 - Slide

Slide 8 - Slide

Slide 9 - Slide

The return of
the Quadratic Equation!!

Slide 10 - Slide

Slide 11 - Slide

Now it's your turn!
TASK 1: 
+ Open your Notebook and            
+ Do this exercise.
+ Key in your answer in the next but one slide!
+ You have 2 minutes for it.

Slide 12 - Slide

Slide 13 - Slide

The points of intersection (p.o.i.)
A. (-1, 2) and (7, 6) B. (6, -1) and (2, 7)
C. (2, -1) and (6, 7) D. (2, 6) and (7, -1)
see above
see above
see above
see above

Slide 14 - Quiz

Solution TASK 1:

Slide 15 - Slide

+ Copy and solve in your Notebook:

+ Finally send in a photo of your work-next slide.
   A picture of your effort on paper, not just an answer.

Slide 16 - Slide

Solution Task 2:

Slide 17 - Open question

Solution Task 2:

Slide 18 - Slide

So, this kind of calculations is asked from you in this paragraph several times!
A practicle aspect: Solving the quadratic equation sometimes may be difficult. For example this one, taken from this paragraph:

Slide 19 - Slide

1st STEP:
make the equation of the form:      .............. = 0
As follows:  

2nd STEP: next slide.

Slide 20 - Slide

2nd STEP:
make sure there is '1' and not 0.02  before the  
As follows.      We have:  
Now multiply all terms, 
left and right of the  '= sign', by 50!

it becomes:         

Slide 21 - Slide

3rd STEP = TASK 3

Decide on the Best Method to Solve this equation.
Describe it in the next slide.
So do not solve it, by only write down what you think is the 
Best Method for Solving!

Slide 22 - Slide

The best method is ......

Slide 23 - Mind map

Solution task 3:
       1st method: Factorising and solving
2nd method: Quadratic formula
The BEST method is a matter of taste.

Slide 24 - Slide

Solution TASK 2 - worked out:
1st method:                                            2nd method: see next slide!

Slide 25 - Slide

Slide 26 - Slide

Homework time
+ § 11A.3   or  § 11.B.3  Parabola and line.
+ You may SKIP:  p.128 (Math A) or p.158 (Math B).

Slide 27 - Slide