3 Hints - 3dmathquest

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Screenshot and graphics
Narration/Text
Developer’s Notes
Need Help button
 Explain how to navigate learning
object
 Keyboard shortcuts/mouse
only/next-back buttons
 Sound options
 How to exit/save/resume
 Information about characters—
how to interact (click on avatar for
info)
Buttons on left side or bottom:
 Page
 Squire
 Knight
Turbosquid—3D Castle_04
http://www.turbosquid.com/3d-models/castle-buildingmedieval-3d-model/253718
Text boxes in shape of scroll or parchment.
3D Math Quest
Credits (button)
Sign-in (button—optional)
http://www.turbosquid.com/3d-models/3d-castleireland/284807
Scrolling text would be helpful
Make the text box take up the middle of
the screen like in the screenshot.
A task list on the left would check off as
the user progresses through the learning
object and completes the different
demos/challenges. The task list would go
in an out—user could hide it (like the
M16/cleanroom menu)
Page Button
Demo 1: Identify 2-D shapes and
properties
Demo 2: Identify 2-D shapes and formulas
(area)
Challenge 1: Create the layout for your
Lord’s new castle
Hear Ye, Hear Ye…
The king is in search of a new knight. In order to qualify
to compete, all newcomers must pass a series of
challenges to prove their understanding of area and
volume.
Squire Button
Demo 3: Adding/subtracting areas
Challenge 2: Determine area of moat
Challenge 3: Determine area of courtyard
Knight Button
Demo 4: Identify 3-D shapes and
properties
Demo 5: Identify 3-D shapes and formulas
(volume)
Challenge 4: Determine Volume of Castle
Tower
Challenge 5: Optimize Storage Area of
Castle
The first step to becoming a knight is to be a page. You will
be sent to a Lord’s castle to receive your training. The Lord
will provide a teacher to help you acquire skills to become
a knight. At the end of the training period, you must pass
the challenge in order to proceed.
If you show promise, you will become a squire. A squire is
a knight's personal servant. Sir Guilford will continue your
teachings. You must prove yourself and pass a second set
of challenges in order to proceed.
If you are deemed worthy by Sir Guilford, you will be
dubbed and become a knight. A knight is expected to
guard the Castle and support his liege lord in Medieval
warfare. As a knight, you will face a number of challenges
that require you to put the skills you learned as a page and
squire into practice.
Text in middle of screen on parchment
or scroll.
If you successfully meet all the challenges presented to
you, you will be allowed to venture forth to serve the king.
Click on the Page Button to the left to begin your journey.
Page Module
Demo 1 & quiz
Demo 2 & matching game
Challenge 1
Text appears on screen when click
Page button. Jester in middle of screen
in front of castle.
Click on avatar to see/hear demo
Jester provides guidance and teaching
The Lord of the castle has assigned me to teach you all you
need to know in order to become a squire. I have all kinds
of tricks in my bag. Let’s see what we have first.
http://www.exchange3d.com/cubecart/characters/jester3d-model/prod_2993.html
Demo 1
The shapes you see here are in two-dimensional form
(2D). Mouse over each of the shapes to see their names.
Click on the shape for information about their properties.
In order to demonstrate your knowledge of 2D shapes,
you must answer a series of questions about their
properties.
Click on the Jester when you feel confident that you can
match the properties with their shapes.
Parallelogram
both pairs of opposite sides are congruent
both pairs of opposite angles are congruent
each angle is supplementary to both of its
consecutive angles
diagonals bisect each other
One pair of opposite sides are congruent
and parallel
Four sided polygon
Looks like Jester is juggling the shapes
above his head. Shapes will be circling
around.
Mouse over labels
Click on the shape for information.
The shape zooms out and a text box
appears with the properties.
Rhombus
All sides are congruent
both pairs of opposite sides are congruent
both pairs of opposite angles are congruent
each angle is supplementary to both of its
consecutive angles
diagonals bisect each other
One pair of opposite sides are congruent
and parallel
Four sided polygon
Rectangle
Four 90o angles
both pairs of opposite sides are congruent
each angle is supplementary to both of its
consecutive angles
diagonals bisect each other
diagonals are congruent
Four sided polygon
Square
Four 90o angles
All sides are congruent
both pairs of opposite sides are congruent
each angle is supplementary to both of its
consecutive angles
diagonals bisect each other
diagonals are congruent
diagonals are perpendicular
Four sided polygon
Kite
Trapezoid
Isosceles
Trapezoid
exactly one pair of opposite angles are
congruent
Has two pairs of consecutive congruent
sides, but opposite sides are not congruent
diagonals are not congruent
diagonals are perpendicular
Four sided polygon
exactly one pair of parallel sides which are
called the bases
exactly one pair of non-parallel sides which
are called legs
Four sided polygon
exactly one pair of parallel sides which are
called the bases
base angles are congruent
exactly one pair of opposite non-parallel
sides which are called legs
opposite non-parallel sides are congruent
diagonals are congruent
Four sided polygon
Triangle
Circle
three sided polygon
The set of all points in a plane that are
equidistant from a given point
Work out the answers to the questions below and fill in
the boxes. Click on the
button to find out whether
you have answered correctly. If you are right then
will appear and you should move on to the
next question. If
appears then your answer is
wrong. Click on
to clear your original answer
and have another go. If you can't work out the right
answer then click on
to see the answer.
When they click the Jester, go to the
questions.
Question 1
Look at the names of the 4-sided 2-D shapes listed below:
User should click on the
to clear the answers.
Square
Rectangle
Rhombus
Need to program a
button—if
all answers are correct, feedback will
be a
If any answer is not correct, then
feedback will be
Users can click the
to see
the right answers. Can we program
this option only if they have tried at
least once to answer the question?
Trapezoid
Parallelogram
Kite
Click the shapes in the list which always have all angles
the same size.
Question 2
A six-sided 2-D shape has all the sides the same length and
all angles the same size.
What is the full name of the shape?
Question 3
A particular 2-D shape always has 4 sides of equal length.
(a) Is it possible that the shape is not a square?
(b) If Yes, what shape could it be? (remember it always has
When the student has successfully
completed the 1st demo, the Jester
appears again to congratulate student
and provide instructions for the next
demo.
4 equal sides)
Question 4
A particular 2-D shape always has 4 equal angles.
(a) Is it possible that the shape is not a square?
(b) If Yes, what shape could it be? (remember it always has
4 equal angles)
Question 5
Look at the names of the 4-sided 2-D shapes listed below:
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
Kite
Click the shapes in the list which always have 2 or more
sides of equal length.
Next you must learn about how to calculate the area of a
2D object. The area of a figure measures the size of the
region enclosed by the figure. This is usually expressed in
terms of some square unit.
Area & Perimeter Images
triangle
trapezoid
rectangle
circle
Mouse over each of the shapes and review the area
formulas listed for each shape. Before you are able to
move on to the first challenge, you will be asked to match
each of the shapes to their respective area formulas in a
matching game.
Demo 2
Calculate the area of a 2D Object
Mouse over same shapes as before,
except this time they show the lines
for showing how to measure the area.
Click on the shape and get the
formula.
sector of circle
Click on the Jester when you feel confident that you can
match the area formulas with their shapes.
Traditional
Matching
SMEs need to define
each block for the
matching game.
Matching Game
(like the game
Memory)
http://www.mathplayground.com/matching_shapes.html
Congratulations for successfully matching the formulas
with their shapes. You must now successfully learn how to
calculate the area of rectangles and circles
When the student has successfully
completed the 2nd demo, the Jester
appears again to congratulate student
and provide instructions for the 1st
challenge.
Challenge 1
A castle's layout is engineered for optimal fortification and
defense and as such each medieval castle is constructed
with a moat, an outer curtain, and a drum tower. For an
effective layout of a medieval castle, these three points
are integral. Without them, the castle is vulnerable to
siege and attack.
A copy of the graphic on a scroll
appears when the scroll unrolls.
The scroll is located ---- on the page
You have been designated to help the Medieval Castle
Builder build your Lord a new castle in Fayette of the
Carolinas. From the ground up, medieval castles are
designed and built in such a way to provide many features
that protected the people inside. No two layouts are
exactly alike, and each is constructed to meet its future
residents’ exacting specifications.
Your Lord wants his castle to have at least two towers, a
moat, and a courtyard in the middle of the castle. The
outer curtain wall should extend around the entire
perimeter of the structure. When establishing the
dimensions of the castle, be sure that it fits within the
boundaries established by the moat.
Click the scroll for an example.
Stone curtain walls that were often between 20 and 40
feet in height and 7 to 20 feet in thickness were a must.
This made the walls difficult to knock down (or in). Click
on a rectangle and place it on the land to create the castle
walls. Adjust the size and dimensions of the shape by
using the slider.
The interior of medieval castles also differ from structure
to structure and often depends on the wealth of the
individual inhabitants. Your Lord has indicated that he
intends to have a courtyard in the center of his castle.
Keep this in mind when you create your walls. When
establishing the dimensions of the castle, be sure that it
fits within the boundary of the land that your Lord has
provided.
Notice that the area formula is displayed in the box with
the selected dimensions inserted. The value of the area of
the shape is also displayed, and it changes when new
dimensions are selected. Once you are happy with the
size of the outer wall, click the Save button.
The area formula is displayed in the
box with the selected dimensions
inserted. The value of the area of the
shape is also displayed, and it changes
when new dimensions are selected.
Towers were often built on the sides of the castle. The
stairways in these towers always curved to the right so
that knights coming down the stairs had room to swing
their swords. It is time to put the towers into position.
Remember that your Lord wants at least two towers for
his castle. You may use circles, squares, or triangles for
the bases of the tower. Choose a shape and place it in the
desired location of the castle.
Adjust the size and dimension of these shapes with the
sliders as you did with the walls. Once again, notice that
you are able to see the change in value of the area when
you dimensions are selected. Once you are happy with
your towers, click the Submit button.
Congratulations! You have passed the first challenge. You
have successfully identified the 2-D shapes and their
formulas. Then you used this knowledge to create a
fortified layout of a castle for your Lord. You will now be
assigned to a knight who will continue your education and
training.
Click the Squire button to continue your journey.
Once again the values in the boxes
change to coincide with the size of the
shapes.
The Jester appears when the student
has clicked the Submit button and the
castle grows into 3-D.
Squire Button
Demo 3: Adding/subtracting areas
Challenge 2: Determine area of moat
Challenge 3: Determine area of courtyard
I am Sir Guilford. I have agreed to continue your training. In
order to successfully meet the next challenge and become a
knight, you will need to learn about adding and subtracting
areas.
http://www.turbosquid.com/3d-models/3d-medievalwarrior-3-model/394203
Sir Guilford provides guidance for the next challenge
Click on avatar to hear/see demo
To find the area of the red shaded region.
(see PowerPoint for animation)
First, find the area of the larger shape. This is labeled shape Narration needs to follow the
A.
animation in the PowerPoint Rita and
Michelle submitted.
Second, find the area of the smaller embedded shape. This
is labeled shape B.
Third, subtract the smaller area from the larger area. That
is, subtract the area of shape B from the area of shape A.
The result is the area of the shaded region desired.
3 Hints
As squire, you must help defend the castle in times of war.
The moat is a deep ditch that is often filled with water. It is
an important part of the castle’s defense system. In times
of war, the castle defenders pull up the drawbridge to close
off this entrance to the castle. You have been charged with
finding the area of the moat based on the diagram on the
scroll. NOTE: (1) the castle has a uniform width of 25 feet
and (2) the moat has a uniform width of 30 feet.
Challenge 2:
 Show an answer box. This is
where the student can submit
their answer.
 Show a “3 Hints” button.
 Each time the button is used it the
number of hints will decrease until
there are no hints left.
 The hint button will give steps to
help student solve the problem.
 The hints should be text only, will
not be narrated
 When the hints button is clicked a
pop up window will show the
following:
3 Hints
 First Hint: Notice that the
length of the moat is longer
than the length of the castle.
 Second Hint: To get the
length of the moat, add 60 to
the length of the castle.
 Third Hint: Notice that the
width of the moat is larger
than the width of the castle.
 If the student answers the
problem correctly, show “
and move on to the
next problem.
 If they key in an incorrect answer,
show
 If they use all 3 hints/or 3
attempts whichever comes first,
show a pop up that redirects them
back to the demo for a recall.
When the recall is complete, come
back to the problem.
Challenge 3:
Like the fields outside the castle, the courtyards inside the
walls were kept as open as possible. The lady of the castle is
planning a small party in the courtyard on Saturday, but she
needs to find out the area of the courtyard so she can plan
where to place the tables and set up the musicians for
dancing. Sir Guilford directs you to help his wife determine
the area of the courtyard.
3 Hints
When the hints button is clicked a
pop up window will show the
following:
 First Hint: Notice that the
length of the courtyard is
smaller than the length of the
castle.
 Second Hint: To get the
length of the courtyard,
subtract 50 from the length of
the castle.
 Third Hint: Notice that the
width of the courtyard is
smaller than the width of the
castle.
 If the student answers the
problem correctly, show “
and move on to the
next problem.
 If they key in an incorrect answer,
show
 If they use all 3 hints/or 3
attempts whichever comes first,
show a pop up that redirects them
back to the demo for a recall.
When the recall is complete, come
back to the problem.
Congratulations! Sir Guilford is pleased with your progress
and agrees that you have satisfied the requirements for
becoming a knight. However, becoming a knight is just the
beginning of your journey. Now that you have a strong
grasp of the area formulas for different basic shapes, it is
important for you to see the relationship between two
dimensional (2D) figures and three dimensional (3D)
figures. You will need to see consult Renaldo, who is a
learned man for your next instructions.
Knight Button
Demo 4: Identify 3-D shapes and properties
Demo 5: Identify 3-D shapes and formulas (volume)
Challenge 4: Determine Volume of Castle Tower
Challenge 5: Optimize Storage Area of Castle
Welcome. I am glad that you have come to me for
guidance. I have spent many years studying the laws of
geometry and know that I can help you with the tasks
set before you.
To convert a 2D shape to a 3D solid, a third dimension
must be added and this third dimension is the height.
When height is added to a 2D shape it becomes a 3D
solid which has a volume. The volume is defined by
the amount of “space” that exists in the interior of a
solid. The units used for volume are cubic units.
Medieval Scholar avatar provides guidance
Click on avatar to hear/see demo
Click on the square/rectangle or the circle to see the
conversion from 2D to 3D. Notice that the only
change in the formula from Area to Volume is the
dimension of height. That is, we multiplied the Area
formula by the amount of height the shape is raised to
get the formula for Volume.
Demo 4: Identify 3-D shapes
and properties
Volume of
Rectangular
Prism:
V=LxWxH
Area of
Rectangle:
A=LxW
Volume of
Cylinder:
V = π r2 h
Area of Circle:
A = π r2
When the student double clicks on the square/rectangle or circle, the selected shape will float over the
Jester and a demo will begin converting the 2D shape into a 3D shape with an audio presentation of
the change from one dimension to the other. The rectangle converts to a rectangular prism (when
clicked again) and the circle converts to a cylinder (when clicked again), by including the dimension
of height.
When student clicks 3D View, the flat diagram should turn
and the 3D castle should slowly rise from the base.
Let’s take a look at the layout of the castle you
created. We now need to create that castle in 3D. Click
on the 3D Button to see your design in 3D.
The shapes you see here are in three-dimensional
form (3D). Mouse over each of the shapes to see
their names. Click on the shape for information about
their properties. In order to continue your journey,
you must match the properties and formulas for
finding the volume of 3-D shapes. Volume is the
amount of space a 3-D object can hold.
Click on your Scholar Guide when you feel confident
that you can match the properties and formulas with
their shapes.
Printable diagrams
Surface Area & Volume Images
square-based pyramid
sphere
rectangular prism
triangular prism
cylinder
cone
Names of 3D objects across top of
screen as headings for categories
Student flips card and must place it in
the correct category
Cards include information about
properties, volume formula—also
move 3D shape to category
Card will not go to incorrect category
When finished, avatar appears again
to congratulate student and provide
instructions for the next challenge.
The towers themselves were often the last to fall in
the case a medieval castle defense system that failed.
Towers were used for a multitude of reasons in
medieval castle defense. Not only were they fantastic
lookout points and the perfect places to stage archers,
they also served as storehouses for emergency food
and as prisons. The towers themselves could be used
to launch fierce attacks on an opposing army, lending
to their importance to medieval castle defense even
more.
As you consider the defenses for your castle, you need
to compute the volume of the castles’ tower.
2 Hints
Hint 1:
Formula:
Hint 2:
Remember to multiply the quantity by 3 because there
are 3 congruent cylinders.
Challenge 4:
NOTE: Instead of lunar habitat,
computing area of castle tower.
Student has the option of clicking the
Hint button for 2 hints.
When finished, avatar appears again
to congratulate student and provide
instructions for the next challenge.
Answer:
A = 3 * 2 * 3.14 * 10 * (10+3) = 2,449.20 (m2)
Not to be forgotten are the needs of the defenders
while in battle. Every floor has its own storehouses for
food and supplies for all who reside on that level
during battle. You are responsible for maximizing the
main storage hold in preparation for a potential siege.
The storage area of the castle is three meters tall,
eight meters long, and five meters wide. There are two
container types used for food. Type A container is a
cube with each side being one meter long. Type B
container is three meters long, one meter tall, and one
meter wide. Your task is to determine how many Type
A or Type B containers would fit in the storage area.
Answer:
VStorageArea = 3 x 8 x 5 = 120 (m3)
VTypeA = 1 x 1 x 1 = 1 (m3)
VTypeB = 3 x 1 x 1 = 3 (m3)
CHALLENGE 5:
Optimizing Storage Hold of the Castle
(Volume)
3 Hints
3D Castle_04
Therefore, the cargo hold would have a capacity of
120 Type A containers
(VStorageArea/ VTypeA) or 40 Type B containers
(VStorageArea / VTypeB).
Castle European Type
Congratulations! You have successfully met all the
challenges set before you. You may now travel to
meet the king.
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