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Building solids using unit cubes

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Building solids using unit cubes

1. 1. Building Solids using Unit Cubes Learning Outcomes: In this lesson, you will learn to • build solids with unit cubes • count the number of unit cubes in a solid • create a 3-D structure using cubesIntegrating Mathematics with ArtMrs Cynthia Seto / Master TeacherAcademy of Singapore Teachers
2. 2. Main Menu1 Introduction: A cube2 Same number of cubes with different arrangements3 Count the number of unit cubes4 Build your own solids5 Hidden Unit Cube6 Practice 17 Practice 28 Practice 39 How many more unit cubes are needed?10 Real-life designs based on cubes11 Create your own 3-D design based on cubes
3. 3. Introduction: A cubeThis is a cube.A single cube is called a unit cube. face edge
4. 4. Same number of units cubes with different arrangementsDid you notice that all these solids are made of3 unit cubes but they are arranged differently?
5. 5. Count the number of unit cubesHow many unit cubes are used to build this solid? 7 unit cubes
6. 6. Build Your Own SolidsUse 4 unit cubes to build as many different solids asyou can. You may use Lego bricks (if you have them athome) or click on the url below to build your solids. http://illuminations.nctm.org/ActivityDetail.aspx?ID=125 Once you are at this website, click on this to learn how to use the tools to build your solid.Source:NCTM Illuminations
7. 7. How well have I done?Click on the screen capture or the yellow box below to do a self-assessmentof how well you have done in building different solids with 4 cubes. Self Assessment on “Build Your Own Solids”
8. 8. Hidden unit cubeDid you notice that 1 unit cube is hidden?How many unit cubes are used to build this solid? 4 unit cubes
9. 9. Practice 1How many unit cubes are used to build this solid? 8 unit cubes 11 unit cubes 19 unit cubes
10. 10. Practice 2How many unit cubes are used to build this solid? 9 unit cubes 10 unit cubes 12 unit cubes
11. 11. Practice 3How many unit cubes are used to build this solid? 37 39 40 41
12. 12. How many more unit cubes are needed? ? cubes Post your answer and explain your strategy to your class online forum or blog. After that, review your partner’s strategy in working out his/her answer.A gentle reminder to return to this online lesson to watch a videoon how cubes are used in real-life designs.
13. 13. Real-life Designs based on CubesClick on this picture below towatch a video on cube tower
14. 14. Create your 3-D Design based on CubesIn your group, form your own cubes or collectboxes that are in the shape of a cube to builda 3-D design during your Art lesson.Take a digital photo and then upload it forart appreciation of each group’s design.
15. 15. Congratulations! By completing this online lesson,you have demonstrated self-leadership. Do the online quiz (only 6 questions) and then you will be awarded with a Certificate of Achievement.
16. 16. Great! You haveconsidered the 3 hidden cubes.
17. 17. Please Count Again!You have left out the 3 hidden cubes.
18. 18. Please Count Again! You have counted thenumber of faces instead of the number of cubes.
19. 19. Great Job! 12 unit cubes are used to build this solid.Did you count them one by one or did you countin this way: There are 6 rows. There are 2 cubesin each row. So, 6 x 2 = 12.
20. 20. Consider these in your counting ? How many cubes are there in one row? How many rows are there in this solid?
21. 21. Try Again!Study the arrangement of this solid, eg look atthe number of unit cubes in a row and thenumber of rows etc
22. 22. Bravo!I have counted them in this way:There are 7 rows of 4 cubes, 3 rows of 3 cubes anda group of 4 cubes.So, (7 x 4) + (3 x 3 ) + 4 = 41Did you do it in this way?