Frog Game Puzzle Strategies

The video introduces a puzzle game involving frogs and lily pads, where frogs must jump to specific pads without landing on empty ones. The challenge is to determine if it's possible to solve the puzzle with different numbers of frogs and lily pads, including prime numbers. Additional challenges include a Queen frog that must always be on top and a lazy toad that doesn't move. The video concludes with an open problem involving waterlogged lily pads, which remains unsolved.

What is the main objective of the frog game introduced in the video?

• To have all frogs on separate lily pads

• To have all frogs on the same lily pad

• To have frogs jump over each other

• To have frogs avoid waterlogged lily pads

What is the additional rule introduced for jumping frogs?

• Frogs must jump in pairs

• Frogs cannot jump onto empty lily pads

• Frogs can jump onto empty lily pads

• Frogs can jump over each other

Tags

CCSS.3.OA.D.9

How can the puzzle be solved for even numbers of frogs and lily pads?

• By using only prime numbers of frogs

• By jumping frogs in a circular pattern

• By solving smaller sections and combining them

• By stacking all frogs on one lily pad

Tags

CCSS.4.OA.C.5

What is the significance of the number 9 in solving the puzzle?

• It is a prime number

• It can be solved like a smaller number

• It requires a special technique

• It cannot be solved

What new challenge does the Queen frog introduce?

• The Queen frog cannot jump

• The Queen frog must be on top of any pile

• The Queen frog must be on the bottom

• The Queen frog must jump last

How does the introduction of a lazy toad change the puzzle?

• The lazy toad must be on top

• The lazy toad cannot move

• The lazy toad must jump first

• The lazy toad must jump last

Tags

CCSS.7.EE.B.3

Is it possible to solve the puzzle with both a lazy toad and a Queen frog?

• No, never

• Only with even numbers of frogs

• Sometimes, depending on the arrangement

• Yes, always

Tags

CCSS.RI.5.2

CCSS.RI.6.2

CCSS.RI.8.2

CCSS.RL.8.2

CCSS.RL.9-10.2

What is the main challenge with waterlogged lily pads?

• Frogs can jump over them

• Frogs must jump in pairs over them

• Frogs cannot land on them

• Frogs must avoid them completely

What is the current status of solving the puzzle with waterlogged lily pads?

• It has been solved for all cases

• It is unsolved for any number of lily pads

• It is solved for even numbers only

• It is solved for prime numbers only

Tags

CCSS.8.EE.C.7B

What technique is suggested to attempt solving the waterlogged lily pad problem?

• Avoiding all waterlogged pads

• Jumping frogs in a circular pattern

• Using a back and forth method

• Using only prime numbers of frogs

Tags

CCSS.8.EE.C.7B