3Ata Ch 3.2 Completing the square and Quadratic functions

 3.1 / 2 Completing the square and quadratic functions
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This lesson contains 22 slides, with interactive quizzes and text slides.

time-iconLesson duration is: 60 min

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 3.1 / 2 Completing the square and quadratic functions
Start: O13 b,e 
Work individually (in silence) for 3 minutes. 
Ready? start T14c and T14ab
timer
6:00

Slide 1 - Slide

Last time, you learned:
  • Solving equations by factoring 
  • the "Magic X" was introduced to you,
  • Solving equations exactly,                        ,                           +2 or -2
(a)2=4
(a)2=

Slide 2 - Slide

Today: Completing the square
By the end of this lesson you know how to 
  • complete the square and to solve equations using this technique, 
  • as binominals
  • or trinominals

Slide 3 - Slide

 3.1 / 2 Completing the square and quadratic functions
Start: O13 b,e 
Ready? start T14c and T14ab
timer
6:00

Slide 4 - Slide

Completing the square
In                                               
The desired format is                                    , which we fix as follows: 
  • Move 8 to the right                             
  • divide 5 by 2 and square it,
  • correct your calculation for the                                 in excess, so subtract this on both sides.
  • Solve the equation
                            
 
x2+5x+8=0
(25)2=425
(xp)2=q

Slide 5 - Slide

2nd example:19f
Complete the square.
NB: why do we do this?
Ans.: Because it can be noted as a multiplication 

Slide 6 - Slide

Together (page 101 theory B&C)

Slide 7 - Slide

25d: 3min
Solve by completing the square.  Tip: force this equation in your desired format and solve!

Slide 8 - Slide

Recap: completing the square
  • Write any equation in the form                                      with a=1
  • then write as:
  • Solve it....
  • But only and exclusively: EXACTLY (CH 3.1 theory C)



ax2+bx+c
(x+2b)2(2b)2=c

Slide 9 - Slide

Cliffhanger: Apply your knowledge from Ch 1 and Ch 3.2 on Quadratic functions 

Slide 10 - Slide

3.3 and 3.4 : Quadratic functions
... how to influence their shape and how to move them along the y-axis, using the form


f(x)=ax2+bx+c

Slide 11 - Slide

That's all for the day, my friends!

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Instructie 1
1ste lesblok

Slide 13 - Slide

Vraagstuk samen maken

Slide 14 - Slide

Instructie 2
2de lesblok

Slide 15 - Slide

Vraagstuk samen maken

Slide 16 - Slide

Wat leerde je
Lesdoelen: herhaald

Slide 17 - Slide

Huiswerk
samen doorlopen

Slide 18 - Slide


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Slide 19 - Quiz


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Slide 20 - Quiz


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Slide 21 - Quiz


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Slide 22 - Quiz