PROJECT NAME

Competencies Tasks/Activities User Interactivity Items to include in

VLO

Geometric Castle

Identify the basic two dimensional and three dimensional figuresFind the area of geometric figuresFind the volume of geometric figuresFind the surface area and net image of geometric figuresDetermine the maximum / minimum value of a quadratic equation

Task 1: Complete demo/practice problems for basic two dimensional and three dimensional figures.Activity 1: Mouse over scarves to reveal and list properties of basic 2D shapes.Activity 2: Match 2D shape with the applicable properties listed.Activity 3: Select the correct area/volume formula for the displayed 2D or 3D shape.

Mouse over identification (text and/or audio)Click items for more information—audio or avatar speakingMultiple Choice—options, conversations, settingMatching

Entry screen with female and male character (see slide 1)JesterJester bagMedieval tentscarvesRat terrier2D shapes

-square-circle-triangle-rectangle-trapezoid-kite-parallelogram

3D shapes-rectangular prism-rectangular pyramid-cone-cylinder

scrollcastlemessenger

Task 2: Identify the basic two dimensional and three dimensional figuresActivity 1: Build foundation of the castle using two dimensional shapes (L x W)Activity 2: Convert two dimensional shapes to three dimensional figures by incorporating a given height (L x W x H)

Drag items into specified areaPut items together (i.e. castle foundation)Mouse over with pop up window (text and/or audio)Arrange, rearrange objects

Task 3: Find the area of geometric figuresActivity 1: Find the area of the castle and courtyard given the rectangular dimensions of the castle (see diagram) * Complete Problem 1Activity 2: Find the area of the moat given a uniform width (use diagram from Activity 1) * Complete Problem 2

Drag items into specified areaPut items together (i.e. castle foundation)Arrange, rearrange objects

• Make this with a medieval theme.

HELP Menu Characters: 1. The Greyhound follows the character of the student around the interior of the castle.2. Click on the Greyhound and the Jester comes out of the shadows and gives a demonstration of the concept that should be learned in the castle room entered. Past demos will also be accessible using a drop down menu.3. The Jester will carry a “bag of tricks” which are scarves that are pulled out as shapes used in the demos. Throughout the castle the Jester will be available to demo past and current concepts. (The student will be able to select a concept from a list of shapes and/or terms.)

EUROPEAN GREYHOUND

It is documented that the greyhound arrived in England over 3,500 years ago. Their link

with nobility was established in 1014 when King Canute enacted the Forest Laws,

which stated that only noblemen could own and hunt with greyhounds.

After login, the Greyhound approaches the Jester’s tent for the first part of the demonstration. The Jester exits the tent with a “bag of tricks”.

The Jester pulls a string of scarves out of the bag. The scarves are connected by sparkles. Each scarf is in the shape of a separate polygon (square, circle, rectangle, trapezoid, kite, triangle, parallelogram, and rhombus). The student will be able to mouse over each shape for it to be identified. Also, all of the properties are listed with the name of that shape.An activity for matching 2D shapes with the respective properties will follow this slide. [Practice]

Traditional Matching

Matching Game (like the game Memory)

http://www.mathplayground.com/matching_shapes.html

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.

Area of Rectangle:A = L x W

Volume of Rectangular Prism:V = L x W x H

Area of Circle:

A = π r2

Volume of Cylinder:

V = π r2h

Next the rectangular pyramid and cone will be introduced by pulling each out of the rectangular prism and cylinder respectfully.

First, the rectangular prism will come to the foreground and complete a demonstration on the relationship between the volume of a rectangular prism and the volume of the rectangular pyramid with the same height.

Fill the pyramid 3X, each time pour contents into the prism

Volume of Rectangular Prism:V = L x W x H

Volume of Rectangular Pyramid:

V = 1/3 (L x W x H)

(include definition)

Second, the cylinder will come to the foreground and complete a demonstration on the relationship between the volume of a cylinder and the volume of a cone with the same height.

After both pyramid and cone volume demonstrations are complete, a multiple choice activity will begin where the student will match area and volume formulas to the shapes provided. [Practice]

Volume of Cylinder:

V = π r2h

Volume of Cone:

V = 1/3 (π r2h)Fill the cone 3X, each time pour contents into the cylinder

(include definition)

What formula is used to determine the area for the above figure?

A. 2L + 2W

B. L x W x H

C. L x W

D. L + W

What formula is used to determine the volume of the above figure?

A. πr2h

B. 2πr2h

C. πr2 + h

D. 2πrh

• Student will create a 2D model of castle foundation• Drag and drop 2D shapes and be able to adjust the length of the radius/side

using a slider and show the change in area. Use a pop up window to show the effects of the adjustment.

• The castle foundation must fit on land and the castle (gray) must have a courtyard (green in middle)

MOAT

CASTLE

COURTYARD

LAND

W

L

r

• Once student has finished the 2D activity, they then will be able to see the 2D turn into 3D• The height of each 2D item will be adjustable and have a fixed base area.• The circles will morph into cones and have a fixed height.• The program will automatically add texture, windows,

drawbridge, color, etc.

•The student will be able to adjust the height of the wall and the height of the cylinder (tower) independently with the use of two separate sliders.•The height of the wall will not exceed the height of the tower.•Show the change of the volume with the adjustments using a pop up window.

When the student has completed the multiple choice and matching activities with shapes, properties, and formulas, the Jester returns the scarves back to the bag.

The Jester, followed by the Greyhound, walks to the gate of the castle to start the next demonstration showing how to add and/or subtract areas.

Find the area of the shaded region shown below…

To find the area of the shaded region:

1. Find the area of shape A

2. Find the area of shape B

3. Subtract the area of shape B from shape A

4. The result is the area of the shaded region desired.

A

B

• Problem 1: Find the area of the courtyard given the dimensions of the castle (150ft x 130ft)

• Problem 2: Find the area of the moat given the width of the moat (30ft)

• View should be an overhead 2D shot like the one below.

• Student should get 3 attempts for each activity. After 3rd attempt, go to demo for examples, then retry.

CASTLE

MOAT

COURTYARD

25ft25ft

25ft

25ft

13

0ft

150ft

• A messenger brings a scroll inviting the player to another castle (king Arthur or Merlin) to participate in games and festivities.

• Zoom in to scroll to read the invite.

Click to

zoom in

Text for Invite

To receive invite, student must complete a written/online

test with proficiency

determined by instructor.

To be continued…….

Ideas to expand and incorporate more

adventures in the castle

• Player walks up to the gate of the castle and is greeted by a guardsman. The player must complete the task on the scroll to enter the castle.

• Zoom in to scroll to read the directions.

Click to zoom in

To enter the castle, find the number of alligators needed to

fill the moat without it

overflowing.

Make the 3D “real” alligator morph into 3D/2D “block” shape (that is detachable) so that the student will be able to calculate the volume of the alligator given the dimensions of each shape/body part.

Activity 3 – Calculate the volume of the water already in the moat using the area found in the previous activity and given the depth of the water is 30 ft. After 3 incorrect attempts student must return to demo (practice exercises), then retry.

Activity 4 – Find the volume of one alligator. Show the morph of alligator described in the previous slide. After 3 incorrect attempts student must return to demo (practice exercises), then retry.

Activity 5 – The moat has a capacity of (student answer from Activity 3) . How many alligators can be put in the moat? Keep in mind that if the water crests, then the the alligators will escape. Not enough and the castle will be vulnerable to attacks. After 3 incorrect attempts student must return to demo (practice exercises), then retry.

* if [student answer] < 4650 show the castle being stormed (any ideas?)

* if [student answer] > 4750 show the moat overflowing and alligators escaping.

* if 4650 < [student answer] < 4750 show the castle drawbridge opening.

Entering the courtyard area, the player meets another messenger who gives a scroll with instructions. Instructions on the next slide.

To be a part of the jousting activities, you must first earn the

items you will need to participate. The items you must

earn are armor, a weapon, a shield, a helmet, and a horse.

Roll over and click on various places in of the castle. You

must successfully complete each task, to earn an item.

Student should be able to roll over the different buildings in the castle. Click to enter the area desired. Make the diagram below 3D.

An example http://www.kidsonthenet.org.uk/castle/view.html

GATE

GATE HOUSE

GREAT

TOWER

GREAT HALL KITCHEN

STABLES

Thick black line is the wall

• STABLES – earn the horse

• KITCHEN – earn the weapon

• GREAT HALL – earn the helmet

• GREAT TOWER – earn the shieldWhere the king and queen live

• GATE HOUSE – earn the armorThis is where bow & arrows, weapons, and armor are made