## Reflection: Grappling with Complexity How Many Fence Panels? - Section 3: Guided Practice

Looking back on this lesson, I now realize that I could have demonstrated how to solve the more complex problems using an easier model.

For example, I could have showed shown how a 2 ft panel x 2 ft panel = 4 square feet & 4 panels.

Then I could have asked: What if I wanted a space with 8 square feet?

We could all draw two "2 x 2 squares." (2 x 4 = 8 square feet & 6 panels). This is also a 2(2x2).

What if we wanted a space with 12 square feet?

We could all draw three "2 x 2 squares." (2 x 6 = 12 square feet & 8 panels). This is also a 3(2x2).

By looking at each rectangle this way, I could have helped strengthen student understanding of the distributive property.

2 x 2

2 ( 2 x 2 )

3 ( 2 x 2 )

After this, I could have challenged students to find the number of panels needed for 72... 108... 144 square feet.

Modeling
Grappling with Complexity: Modeling

# How Many Fence Panels?

Unit 14: Area & Perimeter
Lesson 14 of 19

## Big Idea: Students will explore the number of six-foot fence panels needed to construct a dog pen with a given area.

Print Lesson
Standards:
Subject(s):
Math, Geometry, Geometric Modeling, area (Measurement), perimeter (Determining Measurements), perimeter, area of rectangle, fencing, dog pens
95 minutes

### Kara Nelson

##### Similar Lessons

###### Squares in a Row Day 2 of 6
7th Grade Math » Writing expressions
Big Idea: Students will calculate the number of squares on a checkerboard without counting and will begin to notice patterns emerging in a data table.
Favorites(0)
Resources(22)
Dixon, CA
Environment: Suburban

###### Patterns with Perimeter and Area
Big Idea: In this lesson, students construct rectangles to build conceptual understanding of area and perimeter and then work on a real life problem.
Favorites(8)
Resources(7)
Helena, MT
Environment: Suburban

###### Area of Squares and Rectangles
4th Grade Math » Measurement and Data
Big Idea: Area can be found by counting square units or by using the area formula, A= l x w.
Favorites(3)
Resources(13)
Memphis, TN
Environment: Urban