My Heart is in Pieces

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For Valentines’s Day, February 14, I have created a series of graphs that outline the shape of a traditional heart.

If you are using a TI-83/84 or a TI-84 CE, I have created programs that when executed, will sketch out the shape of a heart. On the TI-84 CE it will be in color.

If you are using TI-Nspire, I have created a file that will not only sketch out the shape of a heart, but the file will also show the student (teacher) how this was accomplished.

Link to the files using the TI-83/84

Link to the files using the TI-84CE (color)

Link to the files using TI-Nspire

                                TI-Nspire “heart”                                        

TI-Nspire_heart

                                TI-84CE “heart”

TI-84CE_heart

Lines of code for the programs for the TI-83/84 and the TI-84CE are listed below. The actual programs can be downloaded from the links.

TI-83/84 version:

TI-8384_heart_program_lines_of_code

TI-84CE (color) version:

TI-84CE_heart_lines_of_code.PNG

Link to a 2 minute video explaining the activity.

Link to a video showing how this was done using TI-Nspire with regression equations and limited domains.

If you have questions, comments or suggestions, contact me: tom@tomreardon.com

 

Groundhog Day February 2

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This activity can be used at grade 7 or beyond. It can be done with a scientific or graphing calculator.

Below are links to a word document of the activity, a pdf of the activity, a pdf of the answer key, a TI-Nspire file of the activity, and a zip file with all these files.

Link to my dropbox with all files.

photo of phil  Phil

According to folklore:

If it is cloudy when a groundhog emerges from its burrow on February 2, then spring will come early.

If it is sunny, the groundhog will supposedly see its shadow and retreat back into its burrow, and the winter weather will persist for six more weeks.

There are several celebrations of Groundhog Day throughout the world, but the largest and most popular takes place in Punxsutawney, Pennsylvania, at Gobbler’s Knob, where crowds as large as 40,000 have attended the ceremony (about 90 miles northeast of Pittsburgh).

The German-based tradition began in the U.S in 1887.

photo of gobblers knob

A groundhog is also known as a woodchuck, a member of the squirrel family. Naturally they eat green plants such as grasses, clover and dandelions. Punxsutawney Phil, however, thrives on dog food and ice cream in his climate-controlled home at the Punxsutawney Library.       

Up on Gobbler’s Knob, Phil is placed in a heated burrow underneath a simulated tree stump on stage before being pulled out at 7:25 a.m. to make his prediction.

Here is a summary of whether or not Phil has seen has shadow from 1887 through 2015:

Shadow         107

NO shadow     12

no record          9

1 – 5. Please round all answers to the nearest percent or nearest whole number.

1.What percent of the time that records were kept, did Phil see his shadow?

2.What percent of the time that records were kept, did Phil not see his shadow?

3. What percent of the time since 1887, was there no record of what Phil saw?

4. Assume that records will be kept from now on. If the pattern above continues and you know that Phil has seen his shadow 150 times at some date in the future, how many times would he NOT have seen his shadow at that time? Explain.

5. How often has Phil been correct? Take a guess. Since 1887, when records were kept, what percent of the time do you think Phil was correct?

C 2016 Reardon Gifts, Inc   tom@tomreardon.com

Super Bowl 50 Scores

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This activity can be used at grade 7 or beyond. It can be done with either a TI-83/84 or the TI-Nspire. There are two links below – one for doing the activity with a TI-83/84, and one for doing the activity with TI-Nspire.

Each link contains the student version, the teacher notes, the answer key and other files.

Link to my dropbox with all files to use with a TI-83/84.

Link to my dropbox with all files to use with TI-Nspire.

Link to a 3:30 video that explains the activity

Idea: the scores of the first 49 Super Bowl football games will be placed into lists on the calculator. On the TI-83/84, the data is easily placed into the proper lists with the ease of running a supplied program. On the TI-Nspire, the data is already in the tns file. The students are then asked questions about the data and will need to perform either 1 Variable Statistics to answer them, or to create a box plot to answer them. We encourage the use of groups of 4 to do the activity in class. See the Teacher Notes for either calculator.

The Teacher Notes also contains 10 fun trivia facts about the Super Bowl, including how it got its name. Enjoy…

Super Bowl Scores Activity 2016   Student Activity

TI-83/84: Have the program “SUPRBOWL” put onto your calculator.  This program will clear all your lists and place the following data into your lists:  L1  Game Number     L2 Winning Score    L3 Losing Score
TI-Nspire: The data is already in the activity.
Use the data to answer the following questions:
  1. a. What is the largest winning score?     b. What is the smallest losing score?     c. What is the winning score that occurred the most often?     d. What is the mean of the winning scores?     e. What is the median of the winning scores?
  2. a. What is the smallest losing score?     b. What is the largest losing score?     c. What is the losing score that occurred most often?     d. What is the mean of the losing scores?     e. What is the median of the losing scores?
  3. a. What is the largest number of total points scored by both teams?     b. What is the smallest number of total points scored by both teams?     c. What is the number of total points that occurred most often?     d. What is the mean of the total points scored?     e. What is the median of the total points scored?
  4. a. What is the largest point difference of the scores?     b. What is the smallest point difference of the scores?     c. What is the point difference that occurred most often?     d. What is the mean of the point differences?     e. What is the median of the point differences?
  5. Based on your analysis of the data, if you had to pick a final score to the Super Bowl, what score would you pick? And why? Explain.
All answers and step-by-step screen shots of the solutions are supplied in the files in my dropbox (see links above).
10 Questions to ask as class openers (answers supplied in the dropbox links above:
1. What is the average price of a Super Bowl 50 ticket? (compared to the most expensive ticket in 1967)
2. How much does a 30-second commercial cost for the Super Bowl? (compared to 1970)
3. How much money does each player of the winning team win? (losing team?)
4. How many pounds of guacamole will probably be consumed on Super Sunday?
5. How many chicken wings will be consumed on Super Sunday?
6. What Super Bowl had the most TV views?
7. Of the top ten individual television broadcasts ever, all but one are Super Bowls. What was that one TV event?
8. With what numbers have Super Bowls been referred to?
9. There are 4 NFL teams that have never played in a Super Bowl. Who are they?
10. How did the name Super Bowl come about?
See the dropbox links above for the answers. Enjoy…
tom@tomreardon.com