Leading Innovation 2012 Bootcamp

leadinginnovation2012 - Content - Math



Overview


In this session, you will navigate through an Algebra I lesson aligned to Common Core that is supported with and through technology.

During navigation of this lesson, you will consider and apply how you can effectively infuse technology to both support student learning and your instructional practices. This lesson is meant to serve as a model for you to create your own technology enhanced lesson. You, along with your colleagues, will engage in reflective discussions about this lesson and as a result, you will glean innovative practices for technology integration in a 1:1 mathematics classroom.


Learning Outcomes

Participants will be able to:

  • Identify and discuss the various components of an effective learning experience supported by technology in a 1:1 setting associated with the Mathematics Standard - Analyze Functions Using Different Representation.
    • F.IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
      • e. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
    • F.IF. 8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
      • b. Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)t, y = (0.97)t, y = (1.01)12t, y = (1.2)t/10, and classify them as representing exponential growth or decay.

  • Explore and leverage Geogebra, while considering its use for both learning (demonstrating understanding/mastery) and teaching mathematical concepts.

  • Reflect and apply pedagogical methods, strategies, and tools appropriate in a mathematics 1:1 classroom.


I. Experiencing the Lesson (50 minutes)


Consider the following questions as we go through this lesson:
  • How does this classroom experience compare with your typical classroom experience?
  • What technology is being used in this lesson? Does it enhance the learning process?
  • If I were a student, what would I enjoy about this technology infused lesson/activity? Would it engage me and why?

Title of the Lesson
Exploring Exponential Functions

Essential Question
How do the parameters a and b of an exponential function in the form y = a*b^x change the graph of a function?

Learning Outcomes
  • The learner will be able to relate parameter changes to graphical transformations
  • The learner will be able to identify between exponential growth and decay

Prior Content Knowledge
  • How the parameters m and b of linear function in the form y=m*x+b change the graph a function

Click here to begin the lesson. Exploring Exponential Functions

II. Reflection (10 minutes)

Take 10 minutes to reflect and answer the following questions and read through other participants' postings. We will then take time to delve into each of these questions in whole group discussion.



III. Creating Your Own Lesson (50 minutes)

You may work individually or with a partner. You will be creating a technology-enhanced lesson aligned with Common Core.

  • Use this template (word document) to guide your planning.
  • Choose from one of the following Common Core Standards to align your lesson:
    • A-REI.6. Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
    • F-IF.7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
      • a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
    • F-TF.2. Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

  • Visit GeogebraTube to find a pre-made file to use in your lesson. If you create an account, you may log in, edit existing files, and save them in a collection.

  • When you are finished, share your lesson plan here.


IV. Conclusion (10 minutes)


Share out and explain the lessons you have created. Discuss the following questions:
  • How does technology enhance teaching and learning Common Core?
  • What have you learned that you can take back to your schools and share with other teachers?

Next Steps.... Return to your Agenda to access the next session.


Additional Resources:
Video Tutorials on Using Geogebra
Algebra
Geometry
Teaching Mathematics

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