Interactive Video Script Template
Course
Semester
Unit
Lesson
Math 8
A
4
12
Lesson
Objective
CLIP A
Introduction – 45 to 60 seconds
Visual
Audio
<display next three images on screen
together sequentially as audio is read>
Image
http://commons.wikimedia.org/wiki/File:AT
HLETE_robot_climbing_a_hill.jpg
Image
http://commons.wikimedia.org/wiki/File:Ato
m_clipart_violet.svg
Have you ever wondered how robots
know where to move
Or how scientists measure the size of
atoms
Image
http://commons.wikimedia.org/wiki/File:Op
en_cardboard_box_husky.png
Image
http://www.morguefile.com/archive/display/
655671
Or how manufacturers know the best size
of box in which to ship their products?
It should be no surprise to you that like
many other real world problems, all of
these questions can be answered with
math.
Text Image
Cube Root Equations
To accomplish these tasks,
cube root equations can be applied and
solved.
<keep previous on screen, displaying next
image below>
3
√𝑥
A cube root equation possesses a radical
sign with an index of 3 and a variable
expression for a radicand.
<Highlight super scripted 3 in previous>
Recall that the index is the number
appearing to the upper left of a radical
<Highlight x>
and the radicand in the number inside.
Text Image
Cube Root Equations
3
√𝑒 + 2 = 6
3
√𝑥 − 12 = −7
3
3
<Highlight √𝑒 + 2 and √𝑥 >
A few examples of cube root equations
are shown here.
Notice that they both share a common
feature of variables inside radicals with an
index of three.
Text Image
Non-Cube Root Equations
√𝑥 + 3 = 5
3
𝑥 + √27 = 11
<Highlight √𝑥 + 3>
3
<Highlight √27>
The equations you see here can not be
classified as cube root equations
since they either don’t have an index of
three
or don’t have variable radicands.
Question for Clip A
Stem: Which of these is a cube root
equation?
Answers for Question A
A.11 + 3𝑥 3 = 21
B. √4𝑥 − 8 = 12
3
C. √19 + 𝑥 = 87
3
D. √𝑥 − 1 + 5 = 14
Correct Response D
Correct – Go to Clip B
Incorrect – Go to Clip E
CLIP B
Build on Introduction – 25 to 35 seconds
Image
http://www.morguefile.com/archive/display/
584032
In order to program a robot’s movements,
programmers must solve a cubic
equation.
Image
http://www.morguefile.com/archive/display/
When they solve an equation, they are
searching for some unknown value to help
the computer know where to move.
905495
Text Image
5𝑥 − 4 = 26
Solving an equation requires using
inverse operations
<Add to Image>
5𝑥 − 4 = 26
+4 +4
5𝑥 = 30
like addition to eliminate the subtraction of
constant terms
<Add to Image>
5𝑥 − 4 = 26
+4 +4
5𝑥 = 30
5
5
And division to remove multiplied
coefficients
<Add to Image>
5𝑥 − 4 = 26
+4 +4
5𝑥 = 30
5
5
𝒙=𝟔
Question for Clip B
To isolate the variable and find the value
necessary.
Stem: Solve the equation.
12𝑥 + 9 = 45
Answers for Question B
A. 3
B. 36
C. – 6.25
D. 4.5
Correct Response A
Correct – Go to Clip C
Incorrect – Go to Clip F
CLIP C
Build on Clip B – 25 to 35 seconds
Visual
Audio
Created Image
https://openclipart.org/detail/194298/Plus%
20-%20Minus
Operations like addition and subtraction
are inverses, as they can be used to undo
each other.
Inverse Operations
Text Image
Inverse Operations
Cube Root
𝟑
√
In solving cube root equations, you will
need to use the inverse of taking a cube
root,
Which is cubing a number.
<keep on screen and add new portion of
next image>
Inverse Operations
Cube Root
𝟑
√
Cubing
𝒙𝟑
<Fade everything else except text below.
Move to the center>
Cubing a number is written using an
exponent of three.
Cubing
𝒙𝟑
<Highlight exponent>
<add new features to previous>
Cubing
𝒙𝟑
Recall exponents mean to multiply a
number by itself a certain number of
times.
Number of times
<add new features to previous>
Cubing
𝒙𝟑
When a number has an exponent of three,
it can be written as a product of three
identical factors.
Number of times
𝒙×𝒙×𝒙
<let 2’s take place of all x’s in previous
diagram and add “=8” to last line>
Cubing
𝟐𝟑
Number of times
𝟐×𝟐×𝟐=𝟖
This means an expression like 2 cubed
can be rewritten as 2 times itself 3 times
and simplified to 8
Question for Clip C
Stem: What is 33?
Answers for Question C
A.6
B.27
C.9
D.15
Correct Response  B
Correct – Go to Clip D
Incorrect – Go to Clip G
CLIP D
Build on Clip C – 25 to 35 seconds
Visual
Audio
Image
https://openclipart.org/detail/193152/Brain
%20activity%20%E2%80%93%20M%C3%
A9tacognition
Let’s recall how cube roots are used in
mathematics.
Created Image
When dealing with the known volume or
space inside of a box, cube roots can be
used to find the length of each side.
Volume
side
3
side = √volume
Created Image
If this cube has a volume of 216 meters
cubed, the cube root of 216 will yield a
side length of 6 meters.
Volume =
216 m3
x
3
x= √216 = 6
<keep previous on screen>
<display below text in previous image>
6 × 6 × 6 = 216
Question for Clip D
Stem: What is the side length of a cube
with volume of 64 in3?
Answers for Question D
A. 21. 3 inches
B. 8 inches
C. 4 inches
D. 16 inches
Correct Response  C
Correct - Success Alert
Incorrect – Go to Clip H
This is because a cube root is an
operation that asks us to search for some
number that can be multiplied by itself
three times.
CLIP E
Remediation for Clip A – 25 to 35 seconds
Visual
Audio
Image
http://www.morguefile.com/archive/display/
213800
A cube root equation is similar to a square
root equation but with a unique feature.
Text Image
First, the equation must have a cube root,
or a radical sign with an index of three
instead of a square root.
3
√
<keep previous on screen>
3
√𝑥
Second, this cube root must still have a
variable as a radicand or inside the radical
sign.
<fill radical sign from last image with the x>
Created Table
Which is a Cube Root Equation?
√𝑓 + 9 = 25
3
√𝑥 − 1 = 6
3
𝑥 − √64 = 9
<bold the first equation (row 2)>
A few possible cube root equations are
shown here.
<while bolded highlight √𝑓>
<erase/remove first equation from table>
because it has a radical sign without an
index of 3.
<bold the bottom row>
3
<while bolded, highlight √64>
<erase/remove bottom equation from
table>
This equation is also not a cube root
equation since the variable is not in the
radicand of the root.
<Bold middle equation>
3
<Highlight √𝑥 − 1, while still bolded>
This one is not a cube root equation
Only this remaining one can be
considered a cube root equation it
contains a cube root that has a variable in
the radicand.
Question for Clip E
Stem: Which of these is a cube root
equation?
Answers for Question E
3
A. √512 = 8
B. √𝑥 − 8 = 0
C. 𝑥 3 + 8 = 35
3
D. √2𝑥 = 4
Correct Response D
Correct – Go to Clip B
Incorrect – Go to Clip F
CLIP F
Remediation for Clip B – 25 to 35 seconds
Visual
Audio
Image
http://www.morguefile.com/archive/display/
711958
Have you ever lost something important
and had to retrace your steps to find it?
Text Image
Solving an equation for a missing variable
is a lot like that.
Solve 3𝑥 + 7 = 28
<keep previous on screen>
<bold x>
If you had a number, x,
<bold 3>
<bold + 7>
<bold = 28>
<Add Image below previous>
𝑥 =?
and multiplied it by 3, then added 7 to that
new number and now its 28, what was
that number at the beginning?
Created image
You can determine that number by
undoing the steps in reverse order.
Subtract the seven
3𝑥 + 7 = 28
−7 −7
3𝑥
= 21
Created Image
3𝑥 + 7 = 28
−7 −7
3𝑥
= 21
3
3
𝒙=7
<display new portions of this image on to
previous image>
Question for Clip F
Stem: Solve the equation.
4𝑥 + 3 = 19
Answers for Question F
A. 4
B. 5.5
C. 1.75
D. 16
Correct Response A
you added last and then divide by the 3
you multiplied the number by first.
Correct – Go to Clip C
Incorrect – Intervention Alert – then Clip B
CLIP G
Remediation for Clip C – 25 to 35 seconds
Visual
Audio
Image
http://www.morguefile.com/archive/display/
691404
Cubing a number is sometimes necessary
to find the space inside a three
dimensional shape.
Created Image
In this square box, the sides are all equal.
4
4
4
<Highlight 4 on bottom>
<Highlight 4 on right>
<Highlight 4 on left
<Display below previous image>
4 × 4 × 4 = 43
To find the volume of this shape we take
the width
times the depth,
times the height.
In this case all three are equal and this
product can be shortened to 4 cubed.
Text Image
Simplify 𝟕𝟑
<Display under previous>
73 = 7 × 7 × 7
Expressions with an exponent of three
can be written as a product of three
identical numbers
<display beneath previous image>
73 = 7 × 7 × 7
= 49 × 7
= 𝟑𝟒𝟑
and can be simplified by taking the
product of all three numbers.
Question for Clip G
Stem: What is 93 ?
Answers for Question G
A.27
B.12
C.6
D.729
Correct Response D
Correct – Go to Clip D
Incorrect – Go to Clip F
CLIP H
Remediation for Clip D – 25 to 35 seconds
Visual
Audio
Created Image
3 27
3
√27
Have you noticed that a radical sign looks
similar to a long division sign? This is
because they are similar operations.
Created Image
A division problem using a divisor of three
asks for a number that can be added to
itself three times to give the dividend.
9
3 27
𝟗 + 𝟗 + 𝟗 = 27
<display this on the left of the screen to
make room for next image on the right,
keep on screen>
<Add to previous Image>
3
√27 = 𝟑
A radical with an index of three is looking
for a number that can be multiplied to
itself three times to give the radicand.
𝟑 × 𝟑 × 𝟑 = 27
Created Image
Exponent
Index
You can remember this by noticing that
the index is raised up like an exponent
which also has ties to multiplication.
𝟑
5𝟑 and √125
Text Image
3
√64 = 𝟒
𝟒 × 𝟒 × 𝟒 = 64
Question for Clip H
3
Stem: What is √125?
Answers for Question H
A.40. 6
B.5
C.25
D.15
Correct Response B
So the cube root of 64 is 4 because three
fours multiplied together result in 64.
Correct – Success Alert
Incorrect – Go to Clip G