## Reflection: Staircase of Complexity Rabbit Run -- Day 2 of 2 - Section 2: Silent Lesson

The Rabbit Run Smartboard.pdf shows how the silent lesson unfolded in today's class. What was really cool about the way it went today, is that the student who came to the board to write the width in terms of the length was able to write the step: 72 - 2L = 2W.  I often find that students have trouble with the 2W instead of just W and sometimes we talk about how we divide the whole left side of the equation by 2 because that was one of the steps they kept repeating when they try to problem with actual numbers.  It was interesting to talk about instead as being the amount of fencing that is left over that makes up both widths, hence the 2W.  Today, I found students to be excited by the idea that they could find the area of their run by using the formula L(36 - L). We tried it a few times with different numbers and I think playing around with those numbers helps them to see how it works. One student even thought to generalize to any perimeter and we were able to write an expression that included "p" for a fixed perimeter.  It was exciting to see students thinking about generalizing beyond the context of this problem.

Staircase of Complexity: Reflecting on the Silent Lesson

# Rabbit Run -- Day 2 of 2

Lesson 3 of 18

## Big Idea: Students look for and express regularity in repeated reasoning (MP8) as they generalize a formula.

Print Lesson
2 teachers like this lesson
Standards:
Subject(s):
60 minutes

### Amanda Hathaway

##### Similar Lessons

###### The Cell Phone Problem, Day 1
Algebra II » Rational Functions
Big Idea: Real world modeling of rational functions. Cell phone signal strength, can you hear me now?
Favorites(6)
Resources(20)
Fort Collins, CO
Environment: Suburban

###### Parking and Pencils: Step Functions and Piecewise Functions
12th Grade Math » Functioning with Functions
Big Idea: Model situations using unconventional (step and piecewise) functions.
Favorites(3)
Resources(14)
Troy, MI
Environment: Suburban

###### Graphing Linear Functions in Standard Form (Day 1 of 2)
Algebra I » Graphing Linear Functions
Big Idea: Students will analyze the importance of intercepts in linear function, and use them to graph lines that are in an unfamiliar format.
Favorites(41)
Resources(16)
Washington, DC
Environment: Urban