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Welcome to my math blog! The purpose of this blog is to help you stay informed about our learning and experiences that have taken place during our math class. I have also included links your child (and you) may want to use in order to supplement math learning in 5th grade.

Tuesday, March 18, 2014

Transformations


Today we worked with transformations (translations, reflections, and rotations.  Once again, I came across this lesson in


Interactive Math Journal from Runde's Room on teacherspayteachers.com. If you would like to watch the recording of the lesson, please visit:  Transformations.


We began by preparing our journal for our notes.  We wrote our learning goal:

Identify, perform, and describe a translation,
reflection, and rotation.

Next, we prepared our blank grid by labeling our x axis, our y axis and numbering our lines vertically and horizontally.  We also prepared the sections where our work would be shown.

We worked with a translation first.  

  • We named the points of the trapezoid using ordered pairs (x coordinate, y coordinate OR run, jump).
  • We translated the trapezoid 6 units east (making a very simple compass rose to remind us of directions).
  • Then we named the new ordered pairs of the trapezoid that had been translated.
We moved on to reflections.


  • We named the coordinates of the square in its original position.
  • We reflected across Line R.
  • We named the coordinates of the new placement of the square (noting that two points remained the same).
Finally, we looked at rotations.


  • We named the coordinates of the right triangle.
  • We rotated the triangle using Point J.
  • We named the new coordinates of the rotated triangle noting that Point J's coordinates remained the same.
I closed each lesson by asking the kids to talk to me about their new learning.  Someone in each class was happy that I had shown how to translate a figure so many units in a given direction.  Others really liked rotating the triangle.  They thought it was funny that I used a compass rose in math and taught them my memory device (Never Eat Sour Watermelon).  I noticed that this was a good catch for some students who are still working the coordinates backwards by going up the y-axis and then going across the x-axis.  They all really enjoy getting to cut, tape, and use map pencils!

HOMEWORK:  Countdown 5.6

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