Lesson 5; Solving any Linear Equations
- Arpit Kesharwani
Launch Into the Warm Up
"Think about this......."
- “Can you explain why you chose your strategy?”
- “Can anyone restate ___’s reasoning in a different way?”
- “Did anyone reason about the problem the same way but would explain it differently?”
- “Did anyone reason about the problem in a different way?”
- “Does anyone want to add on to _____’s strategy?”
- “Do you agree or disagree? Why?”
Solve the equations;
Activity 1 and 2
Your teacher will give you 4 cards, each with an equation.
- “What do all these expressions have in common that make the number puzzle work?” (All of them are equivalent to x−6.)
- “How would you justify that, for example, 16((3x−7)⋅2−22)=x−6?” (I would simplify the left side of the equation until it was x−6.)
- “What does it mean if we have an equation that says x−6=x−6?” (The two sides of this equation are always the same.)
- different approaches for different structures of equations
- types of errors to look out for
Exit Ticket (Must be Taken)
Noah wanted to check his solution of x=145 for the equation 12(7x−6)=6x−10. Substituting 145 for x, he writes the following:12(7(145)−6)(7(145)−6)5(7(145)−6)7⋅14−698−692=6(145)−10=12(145)−20=5(12(145)−20)=12⋅14−20=168−20=148Find the incorrect step in Noah's work and explain why it is incorrect.