Day 1 5-minutes. Connie, Jeff, and Kareem saw bears do tricks. At the beginning of the trick, three black bears were on the left side of a long mat divided.

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Day 1 5-minutes

Connie, Jeff, and Kareem saw bears do tricks. At the beginning of the trick, three black bears were on the left side of a long mat divided into seven squares, and three brown bears were on the right side. Each bear had its own square with an empty square in the middle. The bears could only do two different types of moves: 1.They could slide onto the next square if it was empty. 2.If the next square was not empty, they could jump over one other bear to an empty square. The black bears only moved from left to right, and the brown bears only moved from right to left. When the trick was over, the bears had switched places. All the black bears were on the right side, and all the brown bears were on the left. Can you get the bears to switch places?

Day 2 5-minutes

Connie, Jeff, and Kareem saw bears do tricks. At the beginning of the trick, three black bears were on the left side of a long mat divided into seven squares, and three brown bears were on the right side. Each bear had its own square with an empty square in the middle. The bears could only do two different types of moves: 1.They could slide onto the next square if it was empty. 2.If the next square was not empty, they could jump over one other bear to an empty square. The black bears only moved from left to right, and the brown bears only moved from right to left. When the trick was over, the bears had switched places. All the black bears were on the right side, and all the brown bears were on the left. How many total moves did it take the bears to switch places?

Day 3 5-minutes

Connie, Jeff, and Kareem saw bears do tricks. At the beginning of the trick, three black bears were on the left side of a long mat divided into seven squares, and three brown bears were on the right side. Each bear had its own square with an empty square in the middle. The bears could only do two different types of moves: 1.They could slide onto the next square if it was empty. 2.If the next square was not empty, they could jump over one other bear to an empty square. The black bears only moved from left to right, and the brown bears only moved from right to left. When the trick was over, the bears had switched places. All the black bears were on the right side, and all the brown bears were on the left. How many were slides did it take? How many jumps did it take?

Day 4 5-minutes

Connie, Jeff, and Kareem saw bears do tricks. At the beginning of the trick, three black bears were on the left side of a long mat divided into seven squares, and three brown bears were on the right side. Each bear had its own square with an empty square in the middle. The bears could only do two different types of moves: 1.They could slide onto the next square if it was empty. 2.If the next square was not empty, they could jump over one other bear to an empty square. The black bears only moved from left to right, and the brown bears only moved from right to left. When the trick was over, the bears had switched places. All the black bears were on the right side, and all the brown bears were on the left. How many jumps and slides would it take for 5 bears on each side?

Day 5 5-minutes

Connie, Jeff, and Kareem saw bears do tricks. At the beginning of the trick, three black bears were on the left side of a long mat divided into seven squares, and three brown bears were on the right side. Each bear had its own square with an empty square in the middle. The bears could only do two different types of moves: 1.They could slide onto the next square if it was empty. 2.If the next square was not empty, they could jump over one other bear to an empty square. The black bears only moved from left to right, and the brown bears only moved from right to left. When the trick was over, the bears had switched places. All the black bears were on the right side, and all the brown bears were on the left. How many jumps and slides would it take for 10 bears on each side? Can you find a rule that could help you find the number of jumps and slides?

Day 6 5-10 minutes

Connie, Jeff, and Kareem saw bears do tricks. At the beginning of the trick, three black bears were on the left side of a long mat divided into seven squares, and three brown bears were on the right side. Each bear had its own square with an empty square in the middle. The bears could only do two different types of moves: 1.They could slide onto the next square if it was empty. 2.If the next square was not empty, they could jump over one other bear to an empty square. The black bears only moved from left to right, and the brown bears only moved from right to left. When the trick was over, the bears had switched places. All the black bears were on the right side, and all the brown bears were on the left. How many jumps and slides would it take for 10 bears on each side? Can you find a rule that could help you find the number of jumps and slides?

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