## Reflection: Exit Tickets Area and Combining Like Terms - Section 5: Closure and Ticket to Go

This first lesson involving combining like terms and algebra was difficult for many students.  Some students struggled to apply their knowledge of repeated addition and repeated multiplication to algebra.  I acknowledged that this might feel difficult and I encouraged students to keep trying, reference their notes, and use their algebra tiles.

Here are the tickets to go from three students.  They show each student’s ticket to go from this lesson and the same student’s ticket to go from the next lesson (Perimeter, Area, and Combining Like Terms).

Student #1

On the ticket to go for this lesson this student thought that x^2 represented x + x and that the unit block also had an area of x.  On a positive note, this student recognized that x+x+x+x+x was equivalent to 5x.  On the next day’s next day's ticket to go, this same student was able to create 2 equivalent expressions that represented the perimeter of the picture.  He still needs to work on making sure he reads the directions and creates an area expression.

Student #2

On the ticket to go for this lesson, this student thought that x^2 + x^2 + x^2 is the same as x^6. After class I took a couple minutes to show this student that x^2 times x^2 times x^2 is equivalent to x^6.  I used the algebra tiles to demonstrate that x^2 + x^2 + x^2 is equivalent to 3x^2.  On the next day's ticket to go, this student was able to create to accurate expressions that represented the perimeter and area of the shape.  He needs to continue to work on combining like terms to create simplified expressions.

Student #3

On the ticket to go for this lesson, this student combined x+x to be 2, instead of 2x.  She did not combine 2 and 1 to get three, which makes me think she simply forget to add an x to 2.  She was able to identify that x^2 was equivalent to x times x.  On the next day's ticket to go, she was able to create two expressions that correctly represented the perimeter and the area of the shape.  She was also able to accurately combine like terms.

My students showed a lot of progress between these two lessons.  The students will have more opportunities work on combining like terms and creating equivalent expressions during the number tricks lessons.

Exit Tickets: Progress from Lesson to Lesson

# Area and Combining Like Terms

Unit 6: Expressions, Equations, & Inequalities
Lesson 13 of 20

## Big Idea: How do you represent the area of different blocks? What’s the difference between 2x and x squared? Students use their knowledge of area to combine like terms using algebra tiles.

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Standards:
Subject(s):
Math, Algebra, equivalent algebraic expressions, Expressions (Algebra), combining like terms, area of rectangle, 6th grade, master teacher project, algebra tiles
50 minutes

### Andrea Palmer

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