1. The WHITE Corners Lesson 3 Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

2. GOAL: The WHITE Corners The goal of this stage is to get the WHITE corners on the UP face with all the with the TOP row of each face matching the center piece. Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

3. ¼ Turns R Ri L Li D Di U Ui B Bi F Fi Inverted means opposite By inverting a move, the move can be undone Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

4. Left row of the Cube LEFT Face of the Cube Right row of the Cube RIGHT Face of the Cube Front row of the Cube FRONT Face of the Cube Bottom row of the Cube DOWN Face of the Cube Top row of the Cube UP Face of the Cube The word row refers to an entire row that moves. Rows are three-dimensional. Rows and Faces The word refers to the flat outer area of the row. Faces are two-dimensional. Back row of the Cube BACK Face of the Cube Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

5. SCRAMBLED CUBE 25 Random ¼ Turns Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

6. REVIEW FROM THE WHITE CROSS Make sure the WHITE Face is UP Find a WHITE edge Twist the row of the cube that has the WHITE edge until the WHITE edge is on the bottom row Twist he DOWN Face D ¼ turn Put the row you moved back where it was originally Put the WHITE edge directly below the matching colored center piece Make two F ¼ turns, so the WHITE edge is on the TOP row Repeat all the steps for each WHITE edge. If the pattern is not WHITE, WHITE, use the sequence to correct the pattern: To get the WHITE edges matched with the correct faces: Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

7. ALGORITHM An algorithm is a set of rules or set of steps that we use to solve math problems. Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

8. To get the WHITE/BLUE/RED corner is correct position: Position the WHITE center piece facing up so that the WHITE face is UP Find the WHITE/BLUE/RED corner If the corner colors do not match their faces, then: – If the WHITE/BLUE/RED edge is not already on the bottom row of the cube) Twist the row of the cube that has the WHITE/BLUE/RED edge L, Ri, F,Fi, B, or Bi until the WHITE/BLUE/RED corner is on the BOTTOM row of the cube. Twist the DOWN Face a D ¼ turn Be sure to put the row that was moved back to its original place before moving the DOWN face again. Now position the WHITE/BLUE/RED corner directly below the top row corner piece where the WHITE/BLUE/RED corner should be. Position the cube so that the WHITE/BLUE/RED corner is at the RIGHT/FRONT corner of the cube. Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

9. To get the WHITE/BLUE/RED corner is correct position: To get the corner to the TOP row with matching color faces, use your RIGHT hand and the following algorithm: Use the algorithm: Ri Di R D repeatedly (as many times as it takes) to get the WHITE square on the UP face, the BLUE square is on the BLUE face, and the RED square is on the RED face. Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

10. To get the WHITE/BLUE/ORANGE corner is correct position: Position the WHITE center piece facing up so that the WHITE face is UP Find the WHITE/BLUE/ORANGE corner If the corner colors do not match their faces, then: – If the WHITE/BLUE/ORANGE edge is not already on the bottom row of the cube) Twist the row of the cube that has the WHITE/BLUE/ORANGE edge L,Ri, F, Fi, B, or Bi until the WHITE/BLUE/ORANGE corner is on the BOTTOM row of the cube. Twist the DOWN Face a D ¼ turn Be sure to put the row that was moved back to its original place before moving the DOWN face again. Now position the WHITE/BLUE/ORANGE corner directly below the top row corner piece where the WHITE/BLUE/ORANGE corner should be. Position the cube so that the WHITE/BLUE/ORANGE corner is at the RIGHT/FRONT corner of the cube. Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

11. To get the WHITE/BLUE/ORANGE corner is correct position: To get the corner to the TOP row with matching color faces, use your RIGHT hand and the following algorithm: Use the algorithm: Ri Di R D repeatedly (as many times as it takes) to get the WHITE square on the UP face, the BLUE square is on the BLUE face, and the ORANGE square is on the ORANGE face. Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

12. To get the WHITE/GREEN/ORANGE corner is correct position: Position the WHITE center piece facing up so that the WHITE face is UP Find the WHITE/GREEN/ORANGE corner If the corner colors do not match their faces, then: – If the WHITE/GREEN/ORANGE edge is not already on the bottom row of the cube) Twist the row of the cube that has the WHITE/GREEN/ORANGE edge L,Ri, F, Fi, B, or Bi until the WHITE/GREEN/ORANGE corner is on the BOTTOM row of the cube. Twist the DOWN Face a D ¼ turn Be sure to put the row that was moved back to its original place before moving the DOWN face again. Now position the WHITE/GREEN/ORANGE corner directly below the top row corner piece where the WHITE/GREEN/ORANGE corner should be. Position the cube so that the WHITE/GREEN/ORANGE corner is at the RIGHT/FRONT corner of the cube. Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

13. To get the WHITE/GREEN/ORANGE corner is correct position: To get the corner to the TOP row with matching color faces, use your RIGHT hand and the following algorithm: Use the algorithm: Ri Di R D repeatedly (as many times as it takes) to get the WHITE square on the UP face, the GREEN square is on the GREEN face, and the ORANGE square is on the ORANGE face. Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

14. To get the WHITE/GREEN/RED corner is correct position: Position the WHITE center piece facing up so that the WHITE face is UP Find the WHITE/GREEN/RED corner If the corner colors do not match their faces, then: – If the WHITE/GREEN/RED edge is not already on the bottom row of the cube) Twist the row of the cube that has the WHITE/GREEN/RED edge L, Ri, F,Fi, B, or Bi until the WHITE/GREEN/RED corner is on the BOTTOM row of the cube. Twist the DOWN Face a D ¼ turn Be sure to put the row that was moved back to its original place before moving the DOWN face again. Now position the WHITE/GREEN/RED corner directly below the top row corner piece where the WHITE/GREEN/RED corner should be. Position the cube so that the WHITE/GREEN/RED corner is at the RIGHT/FRONT corner of the cube. Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

15. To get the WHITE/GREEN/RED corner is correct position: To get the corner to the TOP row with matching color faces, use your RIGHT hand and the following algorithm: Use the algorithm: Ri Di R D repeatedly (as many times as it takes) to get the WHITE square on the UP face, the GREEN square is on the GREEN face, and the RED square is on the RED face. Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

16. Troubleshooting If you accidentally place a white corner with the incorrect faces, reposition the WHITE corner on the BOTTOM row underneath the TOP row corner where it belongs with the matching face colors and use the algorithm Make sure the WHITE cross remains intact each time you reposition a WHITE corner. Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

17. GOAL: The WHITE Corners The goal of this stage is to get the WHITE corners on the UP face with all the with the TOP row of each face matching the center piece. Examine your Rubiks Cube. Does your Rubiks Cube look like this? Does your Rubiks Cube look like this? Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

18. You have achieved The WHITE Corners Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

19. REVIEW Position a WHITE corner on the BOTTOM row underneath the TOP row corner where it belongs with the matching face colors. Use the algorithm as many times as needed until the corner is correctly place. Repeat the steps for each corner until all four corners are in the correct places. To get the WHITE corners matched with the correct faces: Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

20. Lesson Extension Repeating the pattern or algorithm as many times as needed is similar to repeating the steps to solve a long division problem with decimals. In this long division problem, every number was divided by the divisor (5) and the next number in the dividend (56.34) was brought down to make a new dividend. When solving for the WHITE corners, every bottom corner starts the same way. The algorithm is used to place the corner in the correct place. With the next corner, the same algorithm is used to place that corner correctly. How does this lesson apply to math? 5 56.340 5 11.268 06 5 13 10 34 30 40 0 Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q

21. Who produced the most expensive Rubiks Cube? What was it called? The most expensive Rubiks Cube was the Masterpiece Cube, produced by Diamond Cutters International in 1995. This actual size, fully-functional cube features 225 carats of amethyst, 25 carats of rubies, and 24 carats of emeralds, all set in 18-carat gold, and was valued at approximately 1.5 million US dollars. Review from Previous Lesson Review from Previous Lesson Lesson Vocab Lesson Focus Review from this Lesson Review from this Lesson Lesson Extension Lesson Extension Rubiks Q Rubiks Q