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

HAVO: § 11A.1  or § 11B.1  Parabola and line
VWO: §11A.3 or   §11B.3
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Slide 1: Slide
WiskundeMiddelbare schoolhavoLeerjaar 3

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

Lesson duration is: 50 min

Items in this lesson

HAVO: § 11A.1  or § 11B.1  Parabola and line
VWO: §11A.3 or   §11B.3

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.
+ 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 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!

Watch:
The return of

Slide 11 -Slide

+ Do this exercise.
+ You have 2 minutes for it.

Slide 13 -Slide

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

Slide 15 -Slide

+ Copy and solve in your Notebook:

+ Finally send in a photo of your work-next slide.

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:
Solve:

Slide 19 -Slide

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

becomes:
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:
n2

Slide 21 -Slide

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

1st method: Factorising and solving
The BEST method is a matter of taste.

Slide 24 -Slide

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

Slide 26 -Slide

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