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.