4.5 Square root functions

Good morning!
Schedule: 
  • Square root functions learning goals 
  • Square root functions theory 
  • Worksheet 
  • Evaluate learning goals 
  • Feedback 
1 / 17
next
Slide 1: Slide
WiskundeMiddelbare schoolhavo, vwoLeerjaar 2

This lesson contains 17 slides, with interactive quizzes and text slides.

time-iconLesson duration is: 40 min

Items in this lesson

Good morning!
Schedule: 
  • Square root functions learning goals 
  • Square root functions theory 
  • Worksheet 
  • Evaluate learning goals 
  • Feedback 

Slide 1 - Slide

Square root functions: learning goals 

At the end of this lesson I can:
  • draw the graph of a square root function 
  • calculate the y-coordinate of an square root function when the x-coordinate is given
  • simplify square roots and square root functions 

Slide 2 - Slide

Theory A: Functions with square roots 

Slide 3 - Slide

Why do all of these graphs stop at the positive side of the y-axis?
timer
1:00

Slide 4 - Open question

Theory A: Functions with square roots 
If we look at
y=x
x
-4
-1
0
4
5
y
not possible
not possible 
0
2
2.2

Why not possible?
You can never take the square root of a negative number!!!
y=(4)

Slide 5 - Slide

Theory A: Functions with square roots 

Slide 6 - Slide

Theory A: Functions with square roots 
(Prior knowledge)
How to draw a graph from a function:
  1. Make a table from the function 
  2. Plot the points from your table in the coordinate system
  3. Draw a smooth line through the plotted points
We draw graphs from square root functions with the same steps!

Slide 7 - Slide

x
0
2
5
8
12.5
y
0
y=2x
y=2(0)=0=0
timer
2:30
0
1
2
3
3.5
3.16
4
4.61
5
5.2

Slide 8 - Drag question

Theory A: Functions with square roots
x
0
2
5
8
12.5
y
0
2
3.16
4
5
y=2x
y=2(2)=4=2
y=2(5)=103.16
y=2(8)=16=4
y=2(12.5)=25=5

Slide 9 - Slide

Theory A: Functions with squares
x
0
2
5
8
12.5
y
0
2
3.16
4
5
y=2x
Now plot the points 
And draw a smooth curve through the points

Slide 10 - Slide

Theory B: Simplifying square root functions
you can simplify square root functions by splitting the terms:
 
16x=16x=4x
8x=8x2.83x
34x=34x=32x=6x
9x2=9x2=3x=3x

Slide 11 - Slide

Simplify
y=56x
A
y=30x
B
y=12.25x
C
y=2.45x
D
y=30x

Slide 12 - Quiz

Simplify
y=3+20.15x
A
y=3+0.77x
B
y=3+0.3x
C
y=5+0.77x
D
y=3+0.3x

Slide 13 - Quiz

Take out your diaries! 

Homework: 
H2c              p.157-158: #61-68
                     Worksheet (google classroom): 
                     #1-5 (mijnschrift.nl)

This is homework for Monday 22-2-2021

Slide 14 - Slide

Square root functions: learning goals 

At the end of this lesson I can:
  • draw the graph of a square root function 
  • calculate the x-coordinate when the y-coordinate is given
  • calculate the y-coordinate when the x-coordinate is given
  • simplify square roots and square root functions 

Slide 15 - Slide

How many learning goals did you achieve today?
0
1
2
3
4

Slide 16 - Poll

Slide 17 - Slide