Legal Moves in Equation Solving

In this lesson, students learn about 'legal moves' in solving equations. The concept involves removing the same number of pawns from both sides of an equation to maintain balance. The lesson demonstrates this technique with examples, showing how it simplifies solving equations. Students are encouraged to use both hands to reinforce the idea of balance. The lesson emphasizes checking solutions by rebuilding the original equation setup. Through practice, students will understand how to apply legal moves to solve equations efficiently.

What is the main concept introduced in Lesson 3?

• Guess and check

• Legal moves

• Number cubes

• Balancing equations

In the equation setup, what does '4X' represent?

• Four equations

• Four numbers

• Four pawns

• Four cubes

What is the purpose of using legal moves in solving equations?

• To simplify equations

• To add more variables

• To guess the solution

• To make equations longer

What happens when you remove the same pawn from both sides of the equation?

• The equation is solved

• The equation becomes more complex

• The equation remains balanced

• The equation becomes unbalanced

How do you determine the value of a pawn using legal moves?

• By guessing

• By removing pawns from one side

• By removing pawns from both sides

• By adding more pawns

Why is it important to reconstruct the original equation setup?

• To verify the solution

• To make it more complex

• To add more variables

• To guess the solution

In the new equation setup, how many X's are on the left-hand side?

• Six

• Five

• Four

• Three

What method is used to find the value of X in the new equation?

• Adding more pawns

• Removing all pawns

• Trial and error

• Guess and check

What should you do after finding the value of X to ensure it's correct?

• Guess again

• Reconstruct the setup

• Add more variables

• Remove all pawns

In the final practice equation, how many X's are initially on the left side?

• Two

• Three

• Four

• Five