The WHITE Corners L e s s o

The WHITE Corners L e s s o n F o R e v 2 L Lesson 3 e s s o n R e L e s s o n E x t e n V o c a b u l a R u b i k ’ s T r

Do you see the letter T on the RED, BLUE, ORANGE, and GREEN faces? GOAL: The WHITE Corners The goal of this stage is to get the WHITE corners on the UP face with the TOP layer of each face matching L the center piece. e. L e s s o n F o R e v 2 L e s s o n R e L e s s o n E x t e n V o c a b u l a R u b i k ’ s T r

¼ Turns R Ri L D B Di Bi U Ui F Fi L e s s o n F o Li • Inverse means opposite. L L e the inverse L • By using of a move, e V e s sundone. o s s the move can be o c o n 2 R e v o n R e n E x t e n a b u l a R u b i k ’ s T r

Layers and Faces When solving the Rubik’s Cube, sometimes it’s easier to talk about the layers. Layers are threedimensional (length, width and height), like layer cake. TOP layer MIDDLE layer L e s s o n F o R e v 2 BOTTOM layer L e s s o n R e Faces are the flat sides of the Cube. Faces are twodimensional (length and width). Think of frosting that goes on all the sides of the cake. UP Face LEFT Face L e s s o n E x t e n R V o c FRONT a Face b u l a RIGHTu Face b i k ’ s T r

SCRAMBLED CUBE 25 Random ¼ Turns You have to scramble the Cube to solve it! L e s s o n F o R e v 2 L e s s o n R e L e s s o n E x t e n V o c a b u l a R u b i k ’ s T r

REVIEW the WHITE Cross • With the YELLOW face UP, make a daisy by putting the WHITE edge tiles on the UP face. GOAL: The WHITE Cross The goal of this stage is to get the WHITE cross on the UP face with all the colored sides of the WHITE edges. Lmatching e the center s pieces. s o n F o • Turn the UP layer to match L e s s o n 2 R e v one non-WHITE edge tile to its R Lcenter. u L e s s o n R e e s s o n E x t e n V o c a b u l a b i k ’ s T r

REVIEW the WHITE Cross • Make 2 turns to put the WHITE tile on the DOWN face. GOAL: The WHITE Cross The goal of this stage is to get the WHITE cross on the UP face with all the colored sides of the WHITE edges. Lmatching e the center s pieces. s o n F o • Turn the WHITE face UP to see the WHITE Cross! L e s s o n 2 R e v L e s s o n R e L e s s o n E x t e n V o c a b u l a R u b i k ’ s T r

Vocabulary: ALGORITHM REVIEW the WHITE Cross An algorithm is a sequence of steps or a set of rules that we use to solve math problems. Here is the algorithm to “flip” an edge L piece: L e e s s o n F o R e v 2 L e s s o n R e L e s s o n E x t e n V o c a b u l a R u b i k ’ s T r

Let’s Start Solving! In this stage, always hold the WHITE Cross as the UP face. GOAL: To get the WHITE corners in the correct positions. L e s s o n F o R e v 2 Corner pieces have 3 tiles that are different colors. You will be looking for the corners L L that have one WHITE tile and e e V s s o 2 other colors. s s o c o n R e n E x t e n a b u l a R u b i k ’ s T r

Get to the BOTTOM of it! On the BOTTOM layer, find a corner with a WHITE tile. GOAL: To get the WHITE corners in the correct positions. L e s s o n F o R e v 2 Don’t have a corner with a WHITE tile on the bottom? No problem. The next R L u L e slide will help you. e b V s s o n R e s s o n E x t e n o c a b u l a i k ’ s T r

Get to the BOTTOM of it! If a corner with a WHITE tile is on the UP face, make U or Ui turns until that corner is on the RIGHT face. Then follow this sequence: GOAL: To get the WHITE corners in the correct positions. L e s s o n F o L e s s o n V Check to see that you still have the WHITE cross! 2 R e v R e E x t e n o c a b u l a R u b i k ’ s T r

Now that a corner with a WHITE face is on the BOTTOM layer… turn the DOWN (D) face until that corner is directly below its intended location. GOAL: To get the WHITE corners in the correct positions. L e s s o n F o R e v 2 R In these examples, the RED-BLUE-WHITE Corner is L u L e between the RED face and the BLUE face. e b V s s o n R e s s o n E x t e n o c a b u l a i k ’ s T r

Match your Cube to one of these 3 examples. #1. If your Cube looks like this, with the WHITE tile on the FRONT face: GOAL: Make these turns to put the corner in the correct position. To get the WHITE corners in the correct positions. L e s s o n F o L e s s o n V o c a b u l a Check to see that you still have the WHITE cross! 2 R e v R e E x t e n R u b i k ’ s T r

Match your Cube to one of these 3 examples. #2. If your Cube looks like this, with the WHITE tile on the RIGHT face: GOAL: Make these turns to put the corner in the correct position. To get the WHITE corners in the correct positions. L e s s o n F o L e s s o n V o c a b u l a Check to see that you still have the WHITE cross! 2 R e v R e E x t e n R u b i k ’ s T r

Match your Cube to one of these 3 examples. #3. If your Cube looks like this, with the WHITE tile on the DOWN face: GOAL: Make these turns to put the corner in the correct position. To get the WHITE corners in the correct positions. L e s s o n F o L e s s o n V o c a b u l a Check to see that you still have the WHITE cross! 2 R e v R e E x t e n R u b i k ’ s T r

REPEAT for each WHITE Corner! WHITE Cross UP Corner on BOTTOM layer GOAL: Position Corner To get the WHITE corners in the correct positions. L e s s o n F o Match and follow the algorithm L e s s o n or or L e s s o n V o c a b u l a Check to see that you still have the WHITE cross! 2 R e v R e E x t e n R u b i k ’ s T r

Examine your Rubik’s y o u r GOAL: The WHITE Corners R u b i k ’ s The goal of this stage is to get the WHITE corners on the UP face with the TOP layer of each face matching the center piece. L e s s o n F o R e v 2 D o e Cube. s L e s s o n R e L e s s o n E x t e n C u b e l o V o c a b u l a R u b i k ’ s T r

Congratulations! Congratulations! L e s s o n F o R e v 2 L e s s o n R e You have achieved The WHITE Corners L e s s o n E x t e n V o c a b u l a R u b i k ’ s T r

PERMUTATION A permutation is a different arrangement of something or all possible arrangements of something. Each move of a Rubik’s Cube makes a new permutation of the Cube. How many permutations are there for a CORNER? L e s s o n F o R e v 2 L e s s o n R e L e s s o n E x t e n V o c a b u l a R u b i k ’ s T r

Math Connection How does this lesson apply to math? 5 An algorithm is a sequential set of rules or steps. L e s s o n F o R e v 2 11. 268 56. 340 5 06 5 13 10 34 30 40 L 40 e s 0 s o n R e There is a repeating pattern in the long division algorithm. ÷ Divide X Multiply Subtract ✓ Check ↓ Bring down L e s s o n E x t e n V o c a b u l a R u b i k ’ s T r

This Algorithm Places the WHITE Corners on the BOTTOM Layer • Hold the WHITE face as the UP face. • Find a corner on the TOP layer and use a U or Ui turn to place it on the RIGHT face. • Then follow the algorithm: GOAL: To get the WHITE corners in the correct positions. L e s s o n F o R e v 2 L e s s o n R e L e s s o n E x t e n V o c a b u l a R u b i k ’ s T r

REVIEW Follow the algorithm matching your Cube to place the WHITE tile of the corner on the UP face. Is the WHITE tile on the FRONT face? Then, GOAL: Is the WHITE tile on the RIGHT face? Then, To get the WHITE corners in the correct positions. Is the WHITE tile on the DOWN face? Then, L e s s o n F o R e v 2 L e s s o n R e L e s s o n E x t e n V o c a b u l a R u b i k ’ s T r

Vocabulary Give some examples of algorithms you use. How would you explain how to find a corner on a Rubik’s Cube? L e s s o n F o R e v 2 L e s s o n R e L e s s o n E x t e n V o c a b u l a R u b i k ’ s T r

Question: Who produced the most expensive Rubik’s Cube? What was it called? Answer: The most expensive Rubik’s Cube was the Masterpiece Cube, produced by Diamond R Cutters International in 1995. The Lactual size, fully-functional cube features 185 carats u a L solved state, the cube features of. Lprecious gems invisibly set in 18 -karat gold. In its e L e b e V e on each side—including s s different type of gem 22. 5 carats of amethyst, 34 carats of s i s o s s s rubies and 34 carats of emeralds. o s k c o o n n F o R e v 2 o n R e n E x t e n a b u l a ’ s T r