Thought-Provoking Proportion Challenge Problems

I totally meant to share these problems a few weeks ago, but I wanted to try it out with my classes first.  However, I got so distracted with doing my Capture & Recapture Lab that we never got to the worksheet.  Yes, I did a Capture & Recapture lab for my Beginning Algebra Classes to help demonstrate how proportions might be used as part of a method of estimation.  Several students told me that without the lab, they wouldn’t have really understood exactly why we even needed proportions.  That made me happy.  So, here we are after the semester has already ended and I never used these problems.  But I thought that I would share them anyway.

Proportion.pdf

New Slope Game

I hope you enjoy this game!  I would love to have any feedback if you decide to use it.

Other Slope Resources

Applets
1.  Interactive Slope Applet – Although I ran out of time to actually use this with my own class, this is a wonderful resource that lets students click and drag points such that when the line between the point changes, the calculation of the slope of the line also changes on the screen as well.  Very useful!

2.  Slope-Intercept Equation Applet – This appears to be the exact same applet I introduced to you a few weeks ago in the Geogebra Tutorial video.  It’s a very simple resource that allows students to visualize the slope-intercept equation of a line by using sliders to change the slope and y-intercept.

Worksheets

New Activity for Prime Polynomials

This is what I am going to use with my Beginning Algebra students to reinforce the idea of prime polynomials.  The majority of the polynomials are prime.

Percent Increase and Decrease

Here’s a sample lesson on Percent Increase and Decrease designed for a 52-minute Pre-Algebra class.

1.  Start by watching the video on ‘Percent Increase’.  Make sure that students have the handout so that they don’t have to write down the application problem.
2.  Have students work on the two ‘Group Work’ problems on percent increase.
3.  Follow the same process for ‘Percent Decrease’.
4.  Have the students do the Percent Increase and Decrease ‘Matching Activity’.  You need to have the tiles cut apart for them already.  If there is not enough time to complete this in class (There usually isn’t), suggest that the students take the activity home.  If you wish, have the students bring the completed matches back to the next class for credit.

This Calculus Game Needs a Sweet Name… Any Suggestions?

I just finished this new Calculus game in anticipation of teaching a lesson on The First Fundamental Theorem of Calculus.  I’m looking to give it a good name.  Any suggestions?

Calculus Game.pdf

Jing Video and notes to accompany my lesson:

View on screencast.com »

Intergal_Video.pdf

Jing Video and notes for the Second Fundamental Theorem of Calculus:

View on screencast.com »

The_Second_Fundamental_Theorem_of_Calculus.pdf

Group_Work_Problems.pdf

Solving a System of Equations with Two Unknowns

A Sample Lesson on Solving a System of Equations with Two Unknowns
Before you begin, you may want to print the summary sheet below for reference.  The sheet happens to have a major typo, but I think that it’s usually fun for the students to discover it themselves. I’ve been generous enough to correct the typo.
Start out by watching this introductory video about solving an application problem using the addition method.  I recommend printing out the handout of what is covered in the video so that you can take notes as you follow along.

Go to Wolfram|Alpha and make sure that you know how to enter systems of equations there so that you can check your answer using this wonderful tool whenever you are at a computer.  Or even on the go, if you have a smartphone.

This is a link to the solution for the problem shown in the video:  http://www.wolframalpha.com/input/?i=solve+the+system+.34x+%2B+1.98y+%3D+3990%2C++.73x+%2B+2.45y+%3D+5865

Next, watch this short video on solving systems of equations using the substitution method.

If you have time, which I hope you do, please print out the page below, cut apart, and match the each system of equations with its correct solution.
Finally, here is a link to a wonderful on-line Jeopardy-style game for one or two players, that covers how to solve Systems of Two Equations (and Inequalities) with two unknowns.

http://www.quia.com/cb/79607.html

A Paper Idea for Learning to Plot Points

First of all, congratulations to Maria Andersen for winning the Mindomo MindMap of the Week.  Now, let’s document my journey over the next 30 minutes or so after I started hunting around the Play and Learn Mind Map.  And this is truly interesting, as it might show you exactly how I think sometimes.

I started with the Play and Learn Mind Map, which led me to the Playing to Learn Math Mind Map (Also by Maria Andersen).
I noticed that the Playing to Learn Math Mind Map (a work in progress) did not have any links to games about logarithms (although there is a spot for it).

I started searching Google for Logarithm Games and I came across this post called This Game Really is Worth 1000 Worksheets, which is simply a printable war-style card game about logarithms.

This site then led me to Let’s Play Math, where I found a wonderful post about a Graph-It Game.  However, the Graph-It Game only came with one -9985″>Christmas Example.

So, I started searching Google again for “Plotting Points to Make a Picture Worksheet”.  Kaboom!  A lot of examples came up, all of which I think could be useful in their own way:  Mystery Graph (Owl) or click here for even more mystery graphs.

I also found these not so free options, although I am mildly inclined to sign-up for the ‘free trials’ and see what I can pull out of there in my 10 days with them.

1.  Math Crush has even more mystery graphs, and even a Battleship activity.
2.  Lesson Planet has some more as well.
3.  Math Worksheet Center has a ton of data and graphing worksheets.

Along the way, I also stumbled upon this post of the 20 Best Math Games and Puzzles.

Overall, I think it was a productive 30 minutes or so, and I hope that you found this post useful.  I am starting graphing with my Beginning Algebra students at the end of this week, so I will let you know how incorporating this whole Graph-It/Mystery Picture Idea works out.  Although, this is not something totally different than the What’s Brewing Worksheet that I have been borrowing from Pete Falzone’s website for a couple of years now.  But having more than one ‘picture’ is a good thing, since I am personally getting bored of seeing students draw the same coffee cup semester after semester after semester!

Math Games for Integers, Multiplication, and Combining Like Terms

I have some slightly under-prepared students semester, so I suggested to them that they should try to work on their basic skills outside of class.  However, this requires me to provide some recommended resources to them, and these are what I have discovered:

Multiplication

• Tetris-style game for multiplication facts.
• Fun Multiplication Game that can be played with up to 4 people from around the world.
• For those who just want the traditional worksheets to practice with.

Combining Like Terms

• This like terms game requires you to match the center term with its the appropriate like term.
• Matching Game – Identify the matching terms in two columns.
• Distributive property, combining like terms, evaluating expressions, solving equations.
Integers and Order of Operations
• Pac Man-style game for Order of Operations.
• Circle 0 Puzzle – adding positive and negative integers to sum to zero.
• Circle 3 Puzzle – adding positive and negative integers to sum to three.
• Circle 21 Puzzle – adding positive and negative integers to sum to twenty-one.
• Circle 99 Puzzle – adding positive and negative integers to sum to ninety-nine.