# Probability & Statistics

TLDRIn this webinar, Steve Phelps, an experienced educator, shares insights into using Geogebra for teaching probability and statistics. He discusses the importance of intuition, simulation, revision, and calculation in the instructional process. Phelps explores various Geogebra resources, focusing on topics like box plots, medians, and probability exercises, and demonstrates how these tools can be effectively integrated into the classroom. The webinar also highlights interactive activities for students, allowing them to experiment with data and deepen their understanding of statistics. Resources are available for free on the Geogebra platform.

### Takeaways

- ๐ The webinar focuses on using GeoGebra for teaching probability and statistics in grades 4 through 8.
- ๐ Steve Phelps, a JRA author and contributor, shares his extensive knowledge on the subject.
- ๐ข An instructional arc for teaching probability topics is discussed: intuition, simulation, revision, and calculation.
- ๐ป GeoGebra's new resources are praised for their high quality and engaging nature.
- ๐ The webinar explores live GeoGebra resources for probability and statistics, including box plots and medians.
- ๐จโ๐ซ Steve shares his experience as an instructional coach, discussing resources suitable for junior high teachers.
- ๐ Interactive activities for exploring medians and box plots are highlighted, emphasizing student engagement.
- ๐ The importance of understanding and teaching box plots and dot plots is emphasized.
- ๐ Steve introduces 'March Randomness,' a 12-day activity involving random questions and stat coin wagers.
- ๐ Links to personal resources used by Steve, including simulations based on AP statistics questions, are shared.
- ๐ The next webinar in the series will be on measurement, scheduled for March.

### Q & A

### What is the main focus of the webinar?

-The main focus of the webinar is on using GeoGebra for teaching probability and statistics, particularly for grades 4 through 8.

### Who is the guest speaker in this webinar?

-The guest speaker is Steve Phelps, a long-time contributor and ambassador of GeoGebra.

### What instructional approach does Steve Phelps recommend for teaching probability?

-Steve Phelps recommends an instructional approach that includes four steps: intuition, simulation, revision, and calculation.

### What are some tools mentioned for teaching probability and statistics?

-The webinar discusses using GeoGebra resources, particularly simulations and interactive tools like box plots and medians, to teach probability and statistics.

### What kind of classroom environment does GeoGebra Classroom facilitate?

-GeoGebra Classroom allows teachers to monitor students' progress in real-time, engage with interactive tasks, and use resources tailored to a junior high or late elementary school age group.

### Why does Steve emphasize the importance of intuition in teaching probability?

-Steve believes that focusing on intuition allows students to develop a better understanding of random scenarios before moving on to simulations and calculations.

### What is the significance of the 'box and whisker' plot in the webinar?

-The 'box and whisker' plot is highlighted as a useful tool for visualizing and analyzing data distributions, and is used in GeoGebra Classroom activities to help students understand data representation.

### What is the 'March Randomness' activity mentioned in the webinar?

-'March Randomness' is an engaging activity Steve created that lasts for 12 days. Students answer random probability-based questions and make wagers based on their confidence, which is followed by real-world experiments to determine outcomes.

### How does GeoGebra Classroom enhance student engagement?

-GeoGebra Classroom enhances engagement by offering interactive activities like data visualization, probability simulations, and live feedback on students' work, allowing teachers to see student progress in real-time.

### What is the next topic in the webinar series?

-The next topic in the series will focus on measurement and is scheduled for March.

### Outlines

### ๐ Introduction to GeoGebra Math Resources

The speaker, Monique, welcomes everyone to the fifth GeoGebra webinar focused on newly released math resources for grades 4 through 8. She introduces Steve Phelps, a JRA author and contributor known for his passion for probability and statistics. Steve is excited to discuss using GeoGebra for these subjects. Monique encourages participants to share their background in the chat. Steve begins by praising the new GeoGebra resources for their quality and engagement. He plans to explore probability and statistics tools, incorporating his extensive knowledge. He suggests an instructional arc for teaching probability: intuition, simulation, revision, and calculation, emphasizing the importance of intuition and simulation before calculation.

### ๐ Exploring Medians and Box Plots with GeoGebra

Steve shares his experience with GeoGebra's resources for teaching medians and box plots. He likes an activity where students can explore medians by moving data points and seeing how the median changes. He discusses the possibility of aligning all points in a line and the impact on the median. Steve also appreciates the feature that allows changing the number of data points to see different outcomes. He then moves on to a practice resource for drawing box and whisker plots, which he finds engaging and suitable for use in a digital classroom setting. He demonstrates how to use the tool, noting its intuitive drag behavior and the importance of aligning data points correctly on the plot.

### ๐ Comparing Data with Box Plots and Dot Plots

Steve continues by exploring another GeoGebra resource that compares box plots and dot plots. He shares a classroom activity code for participants to join and try out. He discusses how the new resources are tailored for use in the GeoGebra classroom environment, with a focus on two main tasks. Steve suggests providing students with instructions and suggestions for building box plots and dot plots with specific characteristics, such as a median of five without any dots on five. He demonstrates the tool's capabilities and encourages teachers to try these engaging activities suitable for junior high or late elementary school students learning about box and whisker plots.

### ๐ฆ Ice Cream Prices and Dice Probabilities

Steve shares personal resources he has created, starting with an ice cream prices activity that introduces students to dice probabilities. The activity involves rolling two dice to determine the price of an ice cream cone, with the larger number representing the tens place and the smaller the units place. Steve discusses the counterintuitive outcomes and variations of the activity, such as using three dice or calculating the average price instead of the median. He also mentions a search page for simulations based on AP statistics questions, including a lotto ticket simulation and a housing simulation.

### ๐๏ธ March Randomness: A 12-Day Probability Challenge

Steve introduces 'March Randomness,' a 12-day activity where he poses random questions, and students make statistical bets using 'stat coins.' The bets are based on confidence in their guesses, and the outcomes are determined by experiments that Steve records. He demonstrates a simulation of flipping a coin four times to get exactly one head and shows how the results update in a table. Steve also explains the binomial calculation for this scenario, using a generating function approach suitable for high school students. He encourages exploration of the resources and offers his social media contacts for further assistance.

### ๐ Upcoming Webinar and Closing Remarks

Monique wraps up the webinar, reminding participants about the next session in March, which will focus on measurement. She provides information on how to register using a QR code and assures that the presentation will be available, including all the links shared by Steve. Monique emphasizes that all resources are free and can be combined and mixed. She invites feedback and suggestions for resource development and thanks everyone for their time, looking forward to seeing them at the next webinar.

### Mindmap

### Keywords

### ๐กGeoGebra

### ๐กProbability

### ๐กStatistics

### ๐กIntuition

### ๐กSimulation

### ๐กRevision

### ๐กCalculation

### ๐กBox Plots

### ๐กMedian

### ๐กInstructional Arc

### ๐กJojua Classroom

### Highlights

Introduction to the fifth webinar in the series on math resources for grades 4 through 8.

Guest speaker Steve Phelps is introduced as an expert in probability and statistics.

Steve Phelps shares his passion for teaching probability and statistics with the help of GeoGebra.

The instructional arc for teaching probability consists of intuition, simulation, revision, and calculation.

Teachers often focus on calculation, but intuition should come first in teaching probability.

GeoGebra is a great tool for building simulations that help students test their intuition.

Several engaging resources for probability and statistics are available on the GeoGebra website.

Steve discusses activities related to medians and box plots in GeoGebra.

Students can explore the concept of medians by manipulating data points in GeoGebra.

An interactive activity for drawing box and whisker plots allows students to engage with data.

Steve emphasizes the importance of exploration before calculation in statistical education.

Teachers can use GeoGebra Classroom to monitor students' progress during these activities.

In the final part, Steve shares additional personal resources for teaching probability and simulations.

He introduces 'March Randomness,' a 12-day activity that engages students with real-life probability questions.

The session ends with an invitation to participate in future webinars on educational resources for math teachers.