Factoring Perfect Square Binomial Expressions

 ECT Python Program: Factoring Perfect Square Binomial Expressions


 At a glance…

Core subject(s)

Mathematics

Subject area(s)

Algebra

Suggested age

12 to 16 years old

Overview

Use this program to help students factor binomial expressions into the form (x+c)^2 if the expression fits the pattern. Have students analyze, fill in parts of, or use the program to check results to exercises they are already working on. This program could be used to further your understanding of how you could use Python in the classroom, as a demonstration or discussion with your students, or as a way to introduce various CT concepts, such as pattern recognition or abstraction, to your students by inviting them to extend the existing functionality of the program.

Python Program

# Copyright 2015 Google Inc. All Rights Reserved.

 

# Licensed under the Apache License, Version 2.0 (the "License");

# you may not use this file except in compliance with the License.

# You may obtain a copy of the License at

 

# http://www.apache.org/licenses/LICENSE-2.0

 

# Unless required by applicable law or agreed to in writing, software

# distributed under the License is distributed on an "AS IS" BASIS,

# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.

# See the License for the specific language governing permissions and

# limitations under the License.

"""Factors an expression into (x+c)^2 if the it fits the pattern"""

from math import *

 

coeff = input("what is the coefficient of x? ")

constant = input("what is the constant? ")

 

if sqrt(constant) == coeff / 2:

  print "factored expression: ", "(x +", sqrt(constant), ")^2"

        

else:

  print "this equation does not fit the pattern"

Additional Information and Resources

Computational Thinking Concepts*

Concept

Definition

Abstraction

Identifying and extracting relevant information to define main idea(s)

Pattern Recognition

Observing patterns, trends, and regularities in data

* Explore the Computational Thinking Concepts Guide for a list of the CT concepts noted on ECT, including tips for implementing each concept in your classroom

Additional Resource Links

Administrative Details

Contact info

For more info about Exploring Computational Thinking (ECT), visit the ECT website (g.co/exploringCT)

Credits

Developed by the Exploring Computational Thinking team at Google and reviewed by K-12 educators from around the world.

Last updated on

01/15/2015

Copyright info

Except as otherwise noted, the content of this document is licensed under the Creative Commons Attribution 4.0 International License, and code samples are licensed under the Apache 2.0 License.


 ECT Python Program: Factoring Perfect Square Binomial Expressions                                                    of