Interactive Video Script Template
Lesson
Objective
Course
Semester
Unit
Lesson
ALG
A
4
6
Students will define a function as a table and graph it.
CLIP A
Introduction – 45 to 60 seconds
Visual
Audio
Image
http://www.morguefile.com/archive/display/
735172
Math is a helpful tool that allows us to
write equations for complicated situations
like
Image
http://pixabay.com/en/sea-beachexcavators-cleaning-628859/
Physics and Construction
Image
http://www.morguefile.com/archive/display/
757455
Finances
Image
http://www.morguefile.com/archive/display/
906836
And even statistics of our favorite athletes
Images<as shown>
https://openclipart.org/detail/212133/x
https://openclipart.org/detail/201017/primar
y-source-y
Many equations we use in math represent
the special relationship between the two
variables, x and y.
Created Image
When an equation links any input value x
to exactly one output value y, the
relationship is a function.
Function
X
Y
Not a Function
X
Y
Y
<Display equation above Image>
http://www.morguefile.com/archive/display/
905019
𝑦 = 25 – 1.25𝑥
<Display Images as shown>
http://www.morguefile.com/archive/display/
920507
http://www.morguefile.com/archive/display/
940417
Text Image
{(9, 7), (8,6), (9,5), (6,4)}
This equation represents the amount of
money left over, y, after riding x number of
rides at the local fair.
This is a function, since there is no
possibility to have two different amounts
of money after going on a certain number
of rides.
When a relationship is given between two
variables as a set of ordered pairs,
Created Image
X
9
8
6
Mapping diagrams can be used to show
the relationship visually and determine if a
function is present.
Y
7
6
5
4
When a mapping diagram shows any x
value with more than one arrow, it is not a
function
<highlight arrows
connected to 9>
<add text below mapping>
Not a Function
since it is connected to more than one yvalue.
<pulse 7 and 5>
Created Image
X
5
10
15
The only time we can see a function from
a mapping diagram is when every x has
exactly one arrow.
Y
6
11
12
Question for Clip A
Stem: Does the mapping diagram here
show a function? Why?
Y
33
21
42
28
X
17
81
53
Answers for Question A
A. Yes, every y has one arrow.
B. No, the arrows cross.
C. Yes, the arrows cross.
D. No, one 𝑥 has two arrows.
Correct Response D
Correct – Go to Clip B
Incorrect – Go to Clip E
CLIP B
Build on Introduction – 25 to 35 seconds
Image
Sometimes, relationships are represented
https://openclipart.org/detail/25524/spreads using spreadsheets or tables.
heet
Image
http://commons.wikimedia.org/wiki/File:Slo
pe_picture.svg
When producing graphs or equations for
these tables, it is helpful to find the slope,
or rate of change for the variables.
Created Image
http://commons.wikimedia.org/wiki/File:US
_Navy_020813-N-3235P520_shopping_at_the_commissary.jpg
The table here shows the price paid, y, for
a certain number of items, x.
𝑥
3
5
7
𝑦
14
22
30
<add text below previous>
𝑦2 − 𝑦1
Slope =
𝑥2 − 𝑥1
<highlight 𝑥1 and 𝑦1 and first row of table
3, 14>
<highlight 𝑥1 and 𝑦1 and last row of table 7,
30>
<alter previous as shown>
𝑦2 − 𝑦1 30 − 14
Slope =
=
𝑥2 − 𝑥1
7−3
<alter previous>
𝑦2 − 𝑦1 30 − 14 16
Slope =
=
=
𝑥2 − 𝑥1
7−3
4
<alter previous>
𝑦2 − 𝑦1 30 − 14 16
Slope =
=
=
=4
𝑥2 − 𝑥1
7−3
4
The price for a single item, or rate of
change, can be found using this formula,
where x one and y one are from an upper
row of the table
and x2 and y2 are from a lower level of
the table.
These values can then be plugged into
the equation
then subtraction is simplified,
and if possible, the division between the
two is completed.
Question for Clip B
Stem: What is the price per hour as shown
by the table below if the initial cost is $25?
Number of hours,
𝑥
1
3
5
Total cost in dollars,
𝑦
65
145
225
Answers for Question B
A. $40
B. $0.03
C. $ 1.55
D. $2.22
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
Image
https://openclipart.org/detail/178279/progre
ss
Tables are often represented in graphed
forms as well.
Created Image
Remember, tables show a relationship
that happens between two values.
𝒙
0
3
4
𝒚
3
2
1
<Add to column and highlight new column.
>
(𝒙, 𝒚)
𝒙
𝒚
0
3
(0,3)
3
2
(3,2)
4
1
(4,1)
<pulse left column and the x position of
ordered pairs>
<pulse middle column and y position of
ordered pairs>
Another way that this partnering can be
shown is by using an ordered pair.
Created Image
http://commons.wikimedia.org/wiki/File:XYplane_exmple_blank.svg
An ordered pair also acts as a coordinate
on the x-y plane. When multiple rows or
columns of a table are converted to
ordered pairs,
𝒙
0
3
4
𝒚
3
2
1
(𝒙, 𝒚)
(0,3)
(3,2)
(4,1)
In the first part of the ordered pair the x
value is seen
and the y is determined from the second.
<zoom in on graph and add points>
Question for Clip C
Stem: Which table is plotted on the graph
shown here?
Answers for Question C
A.
𝑥
𝑦
-3
3
-2
-2
-1
2
3
-1
𝑥
-3
-2
2
3
B.
The coordinates can be plotted and the
relationship can be seen visually.
𝑦
3
-2
-1
-1
𝑥
𝑦
3
-3
-2
-2
2
-1
-1
3
𝑥
𝑦
3
-3
-2
-2
2
-1
-1
3
C.
D.
Correct Response A
Correct – Go to Clip D
Incorrect – Go to Clip G
CLIP D
Build on Clip C – 25 to 35 seconds
Visual
Audio
Created Image
https://openclipart.org/detail/36517/tangox-office-spreadsheet
When an equation is given to us, a table
can be made to help with graphing it.
Equation
𝒚 = 𝒎𝒙 + 𝒃
Created Image
𝑥
In
𝑦
Out
Created Image
https://openclipart.org/detail/170059/bankbuilding---dollar-sign
𝒚 = 𝟓𝟎𝒙 + 𝟓𝟎
Recall that a table shows the link between
x and y values going in and out of the
equation.
Here’s an equation that shows the amount
of money in a bank account after a certain
number of weeks.
<alter previous, cropped graph as shown>
http://commons.wikimedia.org/wiki/File:XYplane_exmple_blank.svg
𝒚 = 𝟓𝟎𝒙 + 𝟓𝟎
If we want to graph the amount of money in
the account in hundreds from the start to 3
weeks,
<add table to previous image>
𝒚 = 𝟓𝟎𝒙 + 𝟓𝟎
𝑥
0
1
2
3
We can set up a table with the values 0
through 3 in the x column
𝑦
<alter previous as shown by adding values
in the y-column>
and plug them into the equation to find the
matching y-values.
𝒚 = 𝟓𝟎𝒙 + 𝟓𝟎
𝑥
0
1
2
3
𝑦
50
100
150
200
<Alter previous by adding points to graph>
𝒚 = 𝟓𝟎𝒙 + 𝟓𝟎
𝑥
0
1
2
3
𝑦
50
100
150
200
The rows can then be converted to ordered
pairs and plotted on the graph.
Question for Clip D
Stem: Which table represents the equation
below?
𝑦 = 3𝑥 − 2
Answers for Question D
A.
𝑥
𝑦
-2
0
1
1
4
2
𝑥
𝑦
0
1
1
2
2
3
𝑥
𝑦
0
-2
1
1
2
4
𝑥
𝑦
0
2
1
5
2
8
B.
C.
D.
Correct Response C
Correct - Success Alert
Incorrect – Go to Clip H
CLIP E
Remediation for Clip A – 25 to 35 seconds
Visual
Audio
Created Image
X
2
3
5
7
Mapping diagrams can be transformed into
a set of ordered pairs by following the
arrows that connect x’s to y’s.
Y
4
6
7
9
{(2,9), (3,4), (5,7), (7,6)}
Created Image
https://openclipart.org/detail/169254/graphtemplate
Created Image<Add vertical lines on
When the points of a relationship are
plotted on a graph, the vertical line test can
be used to determine if it is a function.
previous graph>
The vertical line test is applied by drawing
vertical lines across the graph.
<Highlight third vertical line from the left
(red above)>
If any vertical line touches more than one
point on the graph, it is not a function.
Created Image
X
3
Y
3
2
Question for Clip E
Stem: Does this graph pass the vertical
line test? Why or why not?
A vertical line that touches two graphed
points is similar to two arrows leaving one x
in a mapping diagram.
Answers for Question E
A. No, horizontal lines touch more than
once.
B. No, there are no vertical lines drawn.
C. Yes, vertical lines will only touch once.
D. No, vertical lines will touch twice.
Correct Response C
Correct – Go to Clip B
Incorrect – Go to Clip F
CLIP F
Remediation for Clip B – 25 to 35 seconds
Visual
Audio
<Show images as below>
http://www.morguefile.com/archive/display/
952925
http://www.morguefile.com/archive/display/
614478
The change between two quantities is
found by taking the difference of newer and
older values.
When the change between two things is
negative, there is a decrease happening
<fade>
Image
https://openclipart.org/detail/20585/graphcrash
And when the difference is positive, the
quantity is increasing.
Image
https://openclipart.org/detail/178279/progre
ss
Text Image
When the slope formula is used on a table,
𝑠𝑙𝑜𝑝𝑒 =
𝑦2 − 𝑦1
𝑥2 − 𝑥1
<edit previous>
𝑛𝑒𝑤 𝑦 − 𝑜𝑙𝑑 𝑦
𝑠𝑙𝑜𝑝𝑒 =
𝑛𝑒𝑤 𝑥 − 𝑜𝑙𝑑 𝑥
It is taking the change between new and
old y-values and dividing it by the change
between new and old x-values.
Question for Clip F
Stem: What is the slope of this table?
Time in hours, x
4
7
9
Cash earned, y
26
41
51
Answers for Question F
A. 0.20
B. 5
C. 1.24
D. 1.55
Correct Response B
Correct – Go to Clip C
Incorrect – Intervention Alert – then Clip B
CLIP G
Remediation for Clip C – 25 to 35 seconds
Visual
Audio
Image
https://openclipart.org/detail/169254/graphtemplate
<zoom in on image as shown>
Let’s review how the x-y plane works.
Image
The horizontal, bold line is called the x-axis
and shows negative values of x on the left
and positive values on the right.
<zoom back out on entire image, then
zoom in as shown>
The vertical bold line is the y-axis and
displays negative values below the x axis
and positive y’s above.
<zoom back out then zoom in on image as
shown>
The point where the lines meet is called the
origin and has a coordinate of zero, zero.
All graphing starts here.
<zoom back out, and alter image as shown
below>
If a point like 3, 4 needs to be graphed, you
start at the origin, count 3 units right, then
move four units up.
Question for Clip G
Stem: How would you graph the point
(-3, -5) on the x-y plane?
Answers for Question G
A. Count 5 units left, 3 down from the
origin
B. Count 3 units right, 5 up from the
origin
C. Count 3 units left, 5 up from the
origin
D. Count 3 units left, 5 down from the
origin
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
Image<cropped as shown>
http://commons.wikimedia.org/wiki/File:Fun
ction_machine2.svg
Equations are like number machines that
take a number like x, and through doing a
few operations, turn it into a different
number y.
Created Image
http://www.morguefile.com/archive/display/
876520
Here’s an equation machine that takes x
values for hours worked and match it to y
values that show the number of toy cars
made.
𝒙
𝑦 = 4𝑥 + 3
𝒚
Created Image
5
To find out how many toys are made after
working 5 hours, a 5 can be sent in to the
machine, and the operations happen.
𝑦 = 4(5) + 3
𝑦 = 20 + 3
𝑦 = 23
<alter previous image>
5
𝑦 = 4(5) + 3
𝑦 = 20 + 3
𝑦 = 23
23 toys made
Question for Clip H
Stem: If the equation y = 4x + 2 represents
the dollars earned, y, after mowing x
lawns, how much money will you have
after mowing 12 lawns?
Answers for Question H
A. $18
B. $12
C. $ 50
D. $48
Correct Response C
Correct – Success Alert
Incorrect – Go to Clip G
Then the y value comes out and shows
that 23 toys can be made in 5 hours.