Math Forum: Technology Problems of the Week

Challenging problems based on our Problems of the Week that take advantage of interactive
math tools

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What is a Technology PoW?
Technology Problems of the Week (tPoWs) are freely accessible problem-solving challenges modeled on our Problems of the Week that take advantage of interactive mathematics tools such as Java applets, TI-Nspire™, The Geometer's Sketchpad®, Fathom™, or spreadsheets. Students are invited to use the link "Submit your answer" to share their solutions, and then "self-mentor" using specially designed hints, checks, and suggestions for extensions.

Visit our TI-PoW Index page.

Notice: tPoWs will be moved in January, 2010 to our new Problems of the Week system. Feel free to use the problems and the applets. However, if your students submit work online in this old tPoW environment, we will not be copying that work into our new service. Let us know if you will need copies of this work.

A Million Penny Project Students use a spreadsheet to show when they will have collected their million pennies. [spreadsheet]	en español: El Proyecto de un Millón de Centavos
Balloon Booths Scale the size of a hot air balloon so you can make it fit through a narrow passage and hit a nail to pop it. [Java applet]	Puesto de Globos
Building a House What are the largest number of cubes to make the house? What's the smallest number of cubes? [Java applet]	- - - - -
Containers Use two measuring cups of a particular size to figure out how to measure out other quantities. [Java applet]	- - - - -
Counterfeit Coins Find the fewest number of weighings that will identify which of the nine coins is counterfeit. [Java applet]	Monedas Falsas
Galactic Exchange II By using the vending machine to buy food, determine the relative values of the coins. [Java applet]	Intercambio Galáctico II
Heads and Tails How many times do you have to flip a coin to get at least one head and one tail? [Java applet]	- - - - -
How Many Cubes? Given the front view and side view of some cubes, students are asked what the largest number of cubes can be used to make the arrangement and what the smallest number of cubes would be. [Java applet]	¿Cuántos Cubos?
Mauna Loa Using the monthly measurement data for 1975 through 1988 from Mauna Loa, predict the CO₂ level for your birthday in the current year. [Fathom™ or spreadsheet]	Mauna Loa
Miranda and the Rookie Use a spreadsheet to compare salaries of the star basketball player and the rookie. [spreadsheet]	Miranda y el Principiante
Munching Bugs Help Sam the Chameleon use a special rule to find the bugs he can eat. [Java applet]	- - - - -
Patio Stones How many stones did Kathy need to buy to pave an area in her yard? [Java applet]	- - - - -
Runners Tell how a runner's step size predicts the time it takes to run from the building to the tree. [Java applet]	Corredor
Spinners Choose which spinner is most likely to have produced the given experimental results. [Java applet]	- - - - -
Squares in a Square If you have a checkerboard that is 50x50 with small squares inside it, how many squares will there be all together? [Java applet]	Cuadros en un Cuadro
Tangrams Use an interactive applet to discover some of the relationships among the pieces in a set of Tangrams. [Java applet]	- - - - -
Temperature Change Use the given information to find the temperature. [Java applet]	- - - - -
TI-PoW: A Phone-y Deal Use your TI-Nspire™ to compare two cell phone pricing plans to determine for how many minutes of calls per month each one is the better deal. [TI-Nspire™]	- - - - -
TI-PoW: Caliyah's Cart Use your TI-Nspire™ to figure out the maximum number of items Caliyah can buy, keeping in mind certain restrictions on weight and cost. [TI-Nspire™]	- - - - -
TI-PoW: Chirp! Chirp! Use your TI-Nspire™ to find the temperature when a cricket chirps a certain number of times a minute. [TI-Nspire™]	- - - - -
TI-PoW: Mauna Loa Use your TI-Nspire™ and the monthly measurement data for 1958 through 2008 from Mauna Loa to predict the CO2 level for a given month. [TI-Nspire™]	- - - - -
TI-PoW: Sam and Teri's Bank Accounts Use your TI-Nspire™ to consider this scenario and question: Sam and Teri have bank accounts. Sam always withdraws money; Teri always saves it. When will they have equal balances -- or will they ever? [TI-Nspire™]	- - - - -
Traffic Jam Find the fewest number of moves for the ten people to end up on the opposite side from where they started. [Java applet]	Tráfico Apretado
Train Trouble How fast is the train moving to allow Herman and Sheila to each escape the tunnel? [Java applet]	- - - - -
Types of Triangles Students use a GSP sketch or an interactive web page to drag and manipulate four triangles. They identify one of each type: scalene, isosceles, equilateral, and right. [The Geometer's Sketchpad®]	Tipos de Triángulos

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