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4.5 Square root functions
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Schedule:
Square root functions learning goals
Square root functions theory
Worksheet
Evaluate learning goals
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Slide 1:
Slide
Wiskunde
Middelbare school
havo, vwo
Leerjaar 2
This lesson contains
17 slides
, with
interactive quizzes
and
text slides
.
Lesson duration is:
40 min
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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:
Make a table from the function
Plot the points from your table in the coordinate system
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
=
√
2
x
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
=
√
2
x
y
=
√
2
⋅
(
2
)
=
√
4
=
2
y
=
√
2
⋅
(
5
)
=
√
1
0
≈
3
.
1
6
y
=
√
2
⋅
(
8
)
=
√
1
6
=
4
y
=
√
2
⋅
(
1
2
.
5
)
=
√
2
5
=
5
Slide 9 - Slide
Theory A: Functions with squares
x
0
2
5
8
12.5
y
0
2
3.16
4
5
y
=
√
2
x
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:
√
1
6
x
=
√
1
6
⋅
√
x
=
4
√
x
√
8
x
=
√
8
⋅
√
x
≈
2
.
8
3
√
x
3
√
4
x
=
3
⋅
√
4
⋅
√
x
=
3
⋅
2
⋅
√
x
=
6
√
x
√
9
x
2
=
√
9
⋅
√
x
2
=
3
⋅
x
=
3
x
Slide 11 - Slide
Simplify
y
=
5
√
6
x
A
y
=
3
0
√
x
B
y
=
1
2
.
2
5
√
x
C
y
=
2
.
4
5
√
x
D
y
=
√
3
0
x
Slide 12 - Quiz
Simplify
y
=
3
+
2
√
0
.
1
5
x
A
y
=
3
+
0
.
7
7
√
x
B
y
=
3
+
0
.
3
√
x
C
y
=
5
+
0
.
7
7
√
x
D
y
=
3
+
√
0
.
3
x
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
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