Showing posts with label quadratics. Show all posts
Showing posts with label quadratics. Show all posts

Thursday, August 14, 2014

Ways I use dice in my classroom

Sarah H. recently posted a photo of some items she got from a colleague, mostly large foam dice.  She asked how she can use the dice in her trig class.  I thought that was a great question and I decided to write about several ways I use dice in my class.

1. Teaching probability.  Duh.

2. Using this game board.  I can turn a set of questions into a deck of cards and students can play the game.  Everyone in the group does the problem individually, they discuss as a group, anyone with a correct answer rolls.  I'm always amazed at how much more willing kids are to do the same work when I disguise it as a game.  There are 4 versions of the board in this file: with or without directions and either in color or black and white. 



3. Assign meaning to each side of the die by typing up a key.  Students roll the dice and do the associated action.  Examples: operations on polynomials (add, subtract, multiply, divide, classify, factor, etc), trig functions (sin, cos, tan, sec, csc, cot). Here's one I used for quadratic functions that uses 6- and 12-sided dice (though you can easily change it so as not to need 12-sided dice).  Thanks to my best friend for a donation of cool dice from her Dungeons and Dragons days. 


4. This one is still not classroom-tested, so proceed carefully.  I tested it at home and I think it's a green light.  Mailing labels (like Avery 5160) are able to stick to the foam dice I bought at Dollar Tree and also unstick neatly.  That means I could write questions, equations, terms, etc. and print them on labels to stick to the dice.  At the end of the activity, I can remove the labels (possibly stick them back on the sheet for next year) and reuse the dice for a later activity.

5. As a French teacher, I've made a class set of subject pronoun dice by taking a Sharpie to some foam dice.  These big dice (roughly 2.5") are in two-packs at Dollar Tree.  I've seen red, blue, black, and yellow.


Do you use dice in your classroom?  How?

Mathematically yours,
Miss B

Wednesday, April 3, 2013

Graphing Quadratic Functions: one insight

Last school year, I remember my students had a miserable time remembering the different ways that a function was transformed when they looked at the equation.  (Does minus 4 here mean that the graph goes up, down, left, or right?  Does a negative in front mean the parabola opens up or down?  Why would I want standard form versus vertex form?)  This year, I decided we needed some memory tricks for these along with our notes and our families of functions scrapbook. 

Cute trick #1 is an oldie but a goodie.  If the a value is negative, the graph is opening down, so "frowning."  Negative=frown, so that's should be an easy one to remember. 

Cute trick #2 is inspired by my kids last year who struggled with the idea of vertical stretch and shrink.  They so wanted to talk about horizontal stretch and shrink when they viewed graphs, but that's a bit backwards since an equation in the form y = 3x^2 has an a value greater than 1 which they understood to be an increase in size.  To that end, I did a little demo today in MS Word with clip art pigs.  I started with three equally sized pigs.  I kept the "parent" the same.  I changed the other two pigs based on a values of 2 and 1/2.  Tonight, I added the annotations and tomorrow this will be on my wall. 

 What sorts of tips and tricks do you share with your students to make graphing easier? 

Mathematically yours,
Miss B