Download Unit 11: Transformations, Congruence, and Similarity Concept Code

Unit
Concept Code
Concept Text
Video Title
11: Transformations, Congruence, and Similarity
G8.I.2
Congruence
Determining Whether Triangles Are Congruent
Stage
Name
Date
Content writing
Content editing
Character writing
Script review
K12 review
Revisions
Stacey
Hannah
Melissa
Erika
ePP
2/3/16
5/2/16
5/5/16
5/7/16
5/24/16
Comments
Note that in Row 9, K12 has approved asking a
question, pausing, and then explaining without giving
answer choices.
K12 Signoff
Estimated duration: 4:04
CHARACTER INTRODUCTION
Voiceover
I’m painting constellations on
my ceiling!
On Screen
Developer Instructions
1. Priya is in her bedroom, which should
have the same furniture and color palette
as in G8C1-3. She is standing on a
ladder painting constellations on the
ceiling. She holds a brush in one hand
and a star-shaped stencil in the other.
There is a jar of yellow paint on the shelf
on the ladder. The ceiling is a dark blue
color. There are two 4’ x 4’ canvas drop
cloths overlapping on the floor where she
is painting. A light switch should be
Sound Effects &
References
Voiceover
On Screen
Developer Instructions
visible on the wall behind her. Priya has
painted a few constellations already—
she is in the middle of painting one at the
beginning of the scene. She addresses
camera.
2. Priya dips her brush in the paint.
[Reference for Priya’s position. She may
need to be facing the other way on the
ladder to be able to access the paint on
the shelf as seen in next reference image.
She should be more toward the middle of
the room rather than right against the wall.
The floor (with two 4’ x 4’ canvas drop
cloths—one under the ladder and one
overlapping it) and the ceiling should both
be visible.]
Sound Effects &
References
Voiceover
On Screen
[Reference for type of ladder Priya should
be using. The jar of yellow paint can be on
the blue shelf that is on the right side of
the ladder in this image.]
Developer Instructions
Sound Effects &
References
Voiceover
On Screen
[Reference for Priya’s progress. These
constellations can be arranged in any way
that works for the composition of the
scene. Do not include the lines connecting
the stars – just include the stars
themselves. About half of the ceiling
should be painted with stars (Priya is
halfway through).
Developer Instructions
Sound Effects &
References
Voiceover
On Screen
Do not include the one that has a red x
over it—there should be space for one
more constellation in addition to the one
on which she is currently working.
The constellation directly over the ladder
should also two or three other stars to
represent a constellation in progress. Priya
is in the middle of working on this
constellation.]
[Reference for additional constellations to
fill space as needed.]
Developer Instructions
Sound Effects &
References
Voiceover
On Screen
Developer Instructions
[Reference for star-shaped stencil. It
should appear to be made of thin plastic.
There should be one complete star in the
stencil—no partial pieces as seen at the
bottom of the reference. The star-shaped
space in the stencil should be the same
size as the stars painted on the ceiling.
The stars should be relatively small but still
visible on the ceiling.]
2
I’m using a stencil to make
sure that all of the stars are
exactly the same shape and
size. See?
1. Shot changes to closeup of area on
ceiling above Priya where where two of
the lines in the constellation she is
painting meet. As she works, she looks
at what she is doing.
2. Priya holds the stencil against the
ceiling where the two lines meet.
[Reference for approximate shot. Priya’s
3. Priya uses the brush to paint in the
Sound Effects &
References
Voiceover
3
We can use angle measures
and side lengths to help
determine whether two
polygons have the same
shape and size.
Let’s check it out!
On Screen
Developer Instructions
other hand should be visible holding the
star-shaped stencil. Other stars she has
already painted should also be visible.]
star-shaped stencil.
4. Priya lifts the stencil away, revealing a
yellow star shape on the ceiling the
same size as the stencil.
1. Shot changes to that in Row 1, with
Priya on ladder holding the brush and
stencil and addressing camera.
Sound Effects &
References
WHITEBOARD MATH ANIMATION
4
Voiceover
On Screen
Developer instructions
We’re asked to determine
which triangles are
congruent.
Which triangles are congruent?
1) Which triangles are congruent? //
Also show the art: sides AB, KL, and ST
measure 5 units, sides BC and RT
measure 3 units, sides AC and RS
measure 5.83 units, side LM measures
2.2 units, and side KM measures 5.46
units. Angles B, L, and T are right
angles. Label and mark as shown.
Congruent polygons have
exactly the same size and
shape.
2) Congruent Polygons:
Have the same size and shape //
“Congruent Polygons” is a heading.
Congruent polygons:
Have the same size and shape
5
The corresponding parts of
two polygons are the parts
that match up with each
other.
Which triangles are congruent?
3) // Make “same size” in the last line
blue.
4) // Make “shape” in the last line blue.
1) Congruent Polygons // Heading.
2) • All pairs of corresponding sides
are congruent. // Make “All pairs” and
“corresponding sides” blue.
When two polygons are
congruent, all pairs of
corresponding sides and all
pairs of corresponding angles
are congruent.
3) • All pairs of corresponding angles
are congruent. // In this text, make “All
pairs” and “corresponding angles”
orange.
Congruent Polygons
Sound Effects &
References
Voiceover
On Screen

Developer instructions
All pairs of corresponding sides are
congruent.

6
Let’s start by comparing the
first and second triangles.
All pairs of corresponding angles are
congruent.
Which triangles are congruent?
Sides marked with the same
number of tick marks are
congruent. So, sides ‘A B’
and ‘K L’ are congruent.
The other pairs of
corresponding sides do not
have the same number of tick
marks, so we only know for
sure that one pair of
corresponding sides is
congruent.
Angles marked with the same
number of tick marks are
congruent. Right angles are
also congruent. So, angles B
and L are congruent because
they are both right angles.
The other pairs of
corresponding angles are not
right angles and do not have
the same number of tick
1) First and Second Triangles //
Heading.
2) // Make triangles ABC and KLM and
their labels and markings blue.
3) // Change all to black. In the art, make
sides AB and KL and the tick marks on
these sides blue.
First and Second Triangles
4) • Only one pair of corresponding
sides is congruent. // Make “one pair”
and “corresponding sides” blue.

Only one pair of corresponding sides is
congruent.
5) // Change the art to black.

Only one pair corresponding angles is
congruent.

The triangles are not congruent.
6) // In the art, make the sides forming
angles B and L blue; make the right
angle symbols for these angles orange.
7) • Only one pair corresponding
angles is congruent. // In this text,
make “one pair” and “corresponding
angles” orange.
8) • The triangles are not congruent. //
In the art, change all to black. Make the
Sound Effects &
References
Voiceover
On Screen
marks, so we only know for
sure that one pair of
corresponding angles is
congruent.
7
So the first and second
triangles are not congruent.
Next, let’s compare the first
and third triangles.
Developer instructions
tick marks on sides AB and KL blue.
Make the right angle symbols for angles
B and L orange. Change all text to black.
Make “not congruent” blue.
Which triangles are congruent?
[Change all back to black.]
1) First and Third Triangles // Heading.
Sides ‘B C’ and ‘T R’ both
have one tick mark. Sides ‘A
B’ and ‘S T’ both have two
tick marks. And sides ‘A C’
and ‘S R’ both have three tick
marks.
2) // Make triangles ABC and TSR and
their labels and markings blue.
3) // Change all to black. In the art, make
sides BC and TR and the tick marks on
these sides blue. (Don’t make the
endpoints or labels blue.)
So, all pairs of corresponding
sides are congruent.
Angles A and S both have
one tick mark. Angles C and
R both have two tick marks.
And angles B and T are both
right angles.
All pairs of corresponding
angles are congruent.
So, the first and third triangles
are congruent.
First and Third Triangles

All pairs of corresponding sides are
congruent.

All pairs corresponding angles are
congruent.

The triangles are congruent.
4) // In the art, make sides AB and ST
and the tick marks on these sides
orange. (Don’t make the endpoints or
labels orange.)
5) // In the art, make sides AC and SR
and the tick marks on these sides purple.
(Don’t make the endpoints or labels
purple.)
6) • All pairs of corresponding sides
are congruent. // Make “All pairs” and
Sound Effects &
References
Voiceover
On Screen
Developer instructions
“corresponding sides” blue.
7) // Change the art to black. Then
change the sides of angles A and S to
blue and make the tick marks in these
angles blue.
8) // In the art, change the sides of
angles A and S to black (but keep the
tick marks blue). Change the sides of
angles C and R to orange and make the
tick marks in these angles orange.
9) // In the art, change the sides of
angles C and R to black (but keep the
tick marks orange). Change the sides of
angles B and T to purple and make the
right angle symbols in these angles
purple.
10) • All pairs corresponding angles
are congruent. // In the art, change the
sides of angles B and T to black (but
keep the right angle symbols purple).
Make “all pairs” and “corresponding
angles” in this text blue.
11) • The triangles are congruent. // In
the art, make the tick marks on sides BC
and RT blue, make the tick marks on
sides AB and ST orange, and make the
tick marks on sides AC and SR purple.
Sound Effects &
References
Voiceover
8
Because the first and third
triangles are congruent, we
can write a congruence
statement.
Start by naming the first
triangle ‘A B C.’ Then write
the congruence symbol. Next,
name the other triangle by
listing corresponding vertices
in order.
S corresponds to A.
T corresponds to B.
And R corresponds to C.
Triangle ‘A B C’ is congruent
to triangle ‘S T R.’
On Screen
Developer instructions
Which triangles are congruent?
Change all text to black. Make
“congruent” in this text blue.
[Change all back to black]
1) // In the art, make the tick marks on
sides BC and RT blue, make the tick
marks on sides AB and ST orange, and
make the tick marks on sides AC and SR
purple. Make the tick marks in angles A
and S blue, make the tick marks in
angles C and R orange, and make the
right angle symbols in angles B and T
purple.
First and Third Triangles
△ ABC @ △STR
△
2) ABC // Make blue. Animate the
appearance of the letters by cloning
them in the first triangle and moving
them down.
3) @ // Change “
Make “ @ ” blue.
△ ABC ” back to black.
△
4) S // Change “ @ ” back to black. In
the art, make the labels “A” and “S” blue.
In the last line of text, make “A” and “S”
blue. Animate the appearance of the
letter by cloning it in the third triangle and
moving it down.
5) T // In the art, make the labels “B” and
“T” purple. In the last line of text, make
Sound Effects &
References
Voiceover
On Screen
Developer instructions
“B” and “T” purple. Animate the
appearance of the letter by cloning it in
the third triangle and moving it down.
9
Do think the second and third
triangles are congruent?
Which triangles are congruent?
6) R // In the art, make the labels “C” and
“R” orange. In the last line of text, make
“C” and “R” orange. Animate the
appearance of the letter by cloning it in
the third triangle and moving it down.
[Change all back to black.]
1) Are the second and third triangles
congruent? // Make triangles KLM
and TSR and their labels and
markings blue.
2) // Pause 2 seconds.
10
The second and third
triangles are not congruent.
We know the first and third
triangles are congruent, and
we know that the second
triangle is not congruent to
the first triangle. That means
the second and third triangles
are not congruent either.
Of the three triangles, only
triangles ‘A B C’ and ‘S T R’
are congruent.
Which triangles are congruent?
[Change all back to black]
△
△
1) Only ABC and STR are
congruent. // In the art, make triangles
ABC and TSR and their labels and
markings blue. Make “ ABC ” and
△
“ STR ” blue.
Only
△ ABC and △STR are congruent.
△
Sound Effects &
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CHARACTER CONCLUSION
Voiceover
11
On Screen
We determined which of three
triangles are congruent.
Developer instructions
1. The scene is as it was in Row 1, with
the ladder set up, but Priya is standing
on the floor with her hand on the light
switch. The constellation she was
painting is complete.
I’m going to enjoy my new
constellations!
2. Priya flips the light switch. The room
dims and the stars glow bright on the
ceiling. Priya looks up at the ceiling.
[Reference for darkness of room and
bright yellow glow of stars on the ceiling.
The pattern of stars should be the same as
that in Row 1, with the constellation Priya
was working on completed.]
Sound Effects &
References