Lesson Standard: 8.EE.7a
Content Objective: Students will come to understand that linear equations can have one solution, infinitely many solutions, or no solutions.
Mathematical practice(s): 8
Lesson Design / What will the teacher be doing? (lesson structure) / What will the students be doing?(teacher moves- student discourse) / Assessing Questions (“stuck”) / Advancing Questions (further learning)
Engage
(Launch) / Pose: x + 5 = x + 5
Without solving, find a value of x that makes this true.
Pose:
x + 2= x + 5
Without solving, find a value of x that makes this true. / Think-pair-share
Think-pair-share / How many people got the same answer as their partner?
Why are there more than one solution?
Activity or Task 1 / Pose: 2x + 1 = 3x – 8
Solve / Independent
Partners compare answers
Share their steps
Whole class:
How many solutions are there? / Look for “Starts”
Showing different ways on the board / What do you notice about how many solutions there could be? (Group discussion)
Activity or Task 2 / Pose: 4x + 6 = 4x + 6
How many think this has infinitely many solutions, no solutions, or one solution? (pointing to engage examples)
Now Solve / Independent
Share out
(put work under doc camera) / When is 0 =0 true?
(x = x, 6 =6, 4x = 4x) / Just looking at it, how did you know it had infinitely many solutions?
Activity or Task 3 / Pose: 3x + 6 = 3x + 5
How many think this has infinitely many solutions, no solutions, or one solution? (pointing to engage examples)
Now solve / Independent
Share out
(put work under doc camera) / When is 6 = 5 true?
(1 = 0) / Just looking at it, how did you know it had infinitely many solutions?
Closure / Pose:
Handout sheets
Write predictions
Share out
2x + 1 = 5x – 8
-If we solved, what would the end result look like?
3(4x + 3) = 12x + 9
-If we solved, what would the end result look like?
3x – 9 = 5 + 3x
-If we solved, what would the end result look like?
Determine if each equation has infinitely many solutions, no solutions, or one solution. Prove by solving. / Solve with your partner
Determine if each equation has infinitely many solutions, no solutions, or one solution. Prove by solving.
2x + 1 = 5x – 8
3(4x + 3) = 12x + 9
3x – 9 = 5 + 3x
Determine if each equation has infinitely many solutions, no solutions, or one solution. Prove by solving.
2x + 1 = 5x – 8
3(4x + 3) = 12x + 9
3x – 9 = 5 + 3x