The Statistics Resources Roundup

So after the last blog post all about functions (if you missed it, you can find it here), I received a few asking about statistics. So I thought I would do another round-up for you. Every resource mentioned is free below. Enjoy!

Before I begin, feel free to email me and let me know what you are teaching and I will do my best to prepare something for you too!

Gapminder

Gapminder is an amazing tool! It worked so well with my students. I just know you will want to use this amazing, free, online tool as well.

https://highschoolmathteachers.com/how-to-use-gapminder-to-teach-statistics-s-id-in-algebra-1/

Causation vs Correlation

The first time I taught this lesson was eight years ago during an election year when political commercials were all over the place. After this lesson, the history teacher (yes, this is also a history standard in most states) pulled up some of those commercials and we had great discussions about the difference between causation and correlation and how advertisers assume we don't know the difference.

https://highschoolmathteachers.com/causation-vs-correlation-activity-free/

Two-Way Tables

 Overall my students enjoy learning about two-way tables, and it makes sense to them. It's something they feel very confident with understanding the way that we have structured this lesson so that it builds makes it very easy for students to get this knowledge down in a relatively quick amount of time.

https://highschoolmathteachers.com/two-way-tables-s-id-5/

Standard Deviation Lesson Plan

The standard deviation lesson plan is based on the understanding of what standard deviation is calculating. This is done before they ever learn how to calculate it using technology. Understanding that standard deviation is measuring the deviation of the change off of the mean is very important in Algebra 1, and this activity is visual and straightforward for students to understand.

https://highschoolmathteachers.com/standard-deviation-lesson-plan/ 

Line of Best Fit Lesson Plans

Teaching the concept of the line of best fit can put together a lot of strategies and skills. Today I would love to share with you a couple of my favorite worksheets and activities that engage students.

https://highschoolmathteachers.com/line-of-best-fit-lesson-plans/

Correlation vs. Causation Activity (FREE)

The Correlation vs. Causation Activity

Students love this correlation vs. causation lesson, because -- once they've grasped it -- they begin to see this phenomenon all around them.

The first time I taught this lesson was eight years ago during an election year when political commercials were all over the place. After this lesson, the history teacher (yes, this is also a history standard in most states) pulled up some of those commercials and we had great discussions about the difference between causation and correlation and how advertisers assume we don't know the difference.

Students that did not love math were coming into my classroom to have high-level discussions around this subject, and healthy and educated debates began to take place. Real learning was happening.

The Statistics CCSS Standards

S.ID.9 - This is the main standard that we discuss during this lesson.

High School: Statistics & Probability » Interpreting Categorical & Quantitative Data » Interpret linear models » 9

Distinguish between correlation and causation.

This standard is a great example that will prepare our students to decipher and interpret information in their lives.

The Lesson Opener

I like to begin this lesson with some great graphs from co.design, but make sure your students' maturity can handle the content. These graphs make it evident that -- even though the graphs match -- the information is not a causation.

The conversation then can move into the definitions of causation and correlation with context and meaning. The discussion will help all of your learners connect the learning to previous understanding so they retain the information. The power in this is incredible and will immediately increase confidence. You will know this is true when you hear them saying the lesson was "easy."

Strong Examples of Causation vs. Correlation

Both of these websites are perfect for showing students the ridiculousness of the assumption that correlation always means causation.

Now, for the Activity!

The fun part of this activity is that the students will find data with a common independent variable (usually time) and show a correlation, trying to trick people into believing causation. The process of thinking through and considering the data can be a bit rough, but remind your students that simply recognizing a positive or a negative trend may be enough.

To download the complete activity, enter your email below, and I will send it to you today.

Causation Vs Correlation Activity (FREE)

 

Two Way Tables S.ID.5

Well, today I have a treat for you; A complete lesson on two-way frequency tables is offered right below when you click the blue button. Just put in your email, and I will send it to you right away. (Members: Use this link to download the full statistics unit.)

I want to give you a little bit of information on how I like to teach two-way frequency tables. And I would love to get your feedback in the comments below as well.

S.ID.5

High School: Statistics & Probability » Interpreting Categorical & Quantitative Data »

Summarize, represent, and interpret data on two categorical and quantitative variables

Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.

2016-03-16_1322The first thing I like to do is give them a puzzle of four two-way frequency tables. This is very basic and very simple, and most students do not need you to walk through exactly how to fill in every single box. They would be very insulted if you taught them how to fill in every single box. What I like to do is hand out these four puzzles, and I allow them to fill it in, and I asked them to use their best judgment if they get stuck.

Then we go through and ask “what problem-solving skills do you use?” I walk around, and if some kids get frustrated, maybe it's the 5th or 6th hour, and they are just a little brain fried, and they might need a little nudge in the right direction, I will give them a hint.  But I try not to stand in the front of the room and say “here is the total so go ahead and add it up.” It kills their motivation.

2016-03-16_1323Then once they fill out those four simple two-way tables, I like to give them something where they can match it up with meaningful statements, so they pay attention to what the numbers are saying.

After we have that discussion, the students seem to understand the need for some vocabulary so that we can talk about mathematics. So you might ask them a question like which one is the best school or which one has more girls support a certain team and depending on if they're looking at the numbers or are looking at percentages they're going to get different answers.

This is a great lead into relative frequency.  In the powerpoint that I supplied for you, you will be able to help them put those definitions in place and work with your students on some of these types of questions. That time is great for finding mistakes that they might not have understood during the activity and also to make sure to clarify and make sure all of the students are understanding

After this time there is a worksheet that will put all of these concepts together.

Overall my students enjoy learning about two-way tables, and it makes sense to them. It's something they feel very confident with understanding the way that we have structured this lesson so that it builds makes it very easy for students to get this knowledge down in a relatively quick amount of time.

I hope you download the lesson plan and try it with your students. I would love to know what you think!

Get a Free Two Way Tables Lesson Plan

 

Standard Deviation Lesson Plan

The Standard Deviation Lesson Plan Overview

The standard deviation lesson plan is based on the understanding of what standard deviation is calculating. This is done before they ever learn how to calculate it using technology. Understanding that standard deviation is measuring the deviation of the change off of the mean is very important in Algebra 1, and this activity is visual and straightforward for students to understand.

The Standard Deviation Lesson Plan Covers

  • S.ID.1 - Represent data with plots on the real number line (dot plots, histograms, and box plots).
  • S.ID.2 - Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.

The Standard Deviation Lesson Plan Emphasizes the Mathematical Practices

  • MP5 Use appropriate tools strategically.
  • MP7 Look for and make use of the structure.

The Flow of the Standard Deviation Lesson Plan

This lesson starts with a bellringer and moves into an activity that will ask students to judge two different histograms and compare them using standard deviation. This comparison gives you the perfect opportunity to create mathematical discourse in your classroom. Allow the students to debate and discuss will cement this concept into their memories. The PowerPoint will allow you to ask great questions while being able to reference the graphs in front of the classroom.

Once students have a clear understanding of what standard deviation is measuring, the direction of the class will move towards calculating the standard deviation using technology. In this lesson, we discuss Desmos as a tool. But you can use any technology for this assignment.

Finally, the class will finish up by having an exit slip showing their understanding of how to calculate and interpret a standard deviation problem.

Free Standard Deviation Worksheet/Activity

standard_deviation_activity

The Complete Standard Deviation Lesson Plan Includes:

  • Day 54: Standard Deviation Lesson Plan
  • Bellringer
  • Day 54: PowerPoint Presentation
  • Standard Deviation Comparison Activity
  • Standard deviation practice worksheet
  • Exit Slip

Members: Use this link to access the full Day 54: Standard Deviation lesson plan download:

Powerful Questions

The following questions can be used during the standard deviation's lesson plan to help your students better understand the concept that we are talking about today.

  • What approaches did you use to decide which graph had the larger standard deviation?
  • What features of a histogram seem to have no bearing on the standard deviation?
  • What do features appear to affect the standard deviation?

For full access to every lesson,

join our Members' Area Today!

 

Standard Deviation Lesson Plan

 

Line of Best Fit Lesson Plans

Line of Best Fit Lesson Plans

Teaching the concept of the line of best fit can put together a lot of strategies and skills. Today I would love to share with you a couple of my favorite worksheets and activities that engage students.

Line of Best Fit Worksheets

One of my go-to handouts is the line of best fit for beginners. This step by step worksheet can allow students to figure out the line of best fit for any set of data. The simple handout allows you to use it not only in Algebra but you can talk a science or history teacher into using it too!

Beginners guide to line of best fit (PDF)

This worksheet is part of our Unit 4 Statistics Unit.

Click here for full access to the Statistics Unit for Algebra 1, including PowerPoints, printables, and assessments.

Line of Best Fit Activities

The line of best fit is best understood by students when they use real data and then make predictions. The Gapminder free online program uses real data from around the globe to show relationships. The Gapminder activity is by far my favorite activity to do with students. They love learning more about countries around the world. Here is the Introduction to Gapminder activity.

Introduction to Gapminder (PDF)

There is a second Gapminder activity in our member's area as well.

Assessments

Within our member's area, you will also find weekly assessments that are ideal for formative assessments, as well as, Unit tests aligned to the Common Core. The assessments are created to be a combination of short answer and multiple choice to prepare students for the online and end of course exams.

Click here to get full access to our member area and download the Unit 4 Statistics Test!

 

Line of Best Fit Lesson Plans

 

3 Super Bowl Lesson Plans that Keep Kids Engaged

I used to hate the Monday after the Super Bowl. The kids were tired, I was tired, and it felt like a horrible situation of force-feeding information to the unwilling.

So I began looking for a lesson that would keep them engaged. And I found it! Now, many of you know I am a huge fan of the lessons at Yummy Math.

Scientific Notation

The lesson I found, called The cost of a Super Bowl XLVII ad was perfect. Incorporating scientific notation (which conveniently the biology teacher asked me to review), and prediction, the cost of the ads was a great way to get the kids interested in the math. I showed a few of their favorite commercials, and they were hooked.

For more lessons on feel free to check out the Unit 8 Livebinder.

Graphing Exponentials

Yummy Math one-upped them with this year's lesson. Again using the cost of an ad, this lesson incorporates graphing, creating a line of best fit, making predictions, comparing linear and exponential functions and other skills. Super Bowl Ads 2015 is copied and ready to go for tomorrow morning.

Unit 8 has more lessons on all aspects of exponentials.

Measures of Central Tendencies

For the middle school teachers out there, you are not forgotten! Yummy Math also has a way to predict (or check your prediction) of the score using statistics. Typical Super Bowl scores? This activity could also be used as a review if you are heading into statistics soon.

Are you looking for more statistics? Unit 4 has you covered!

Thank you, Yummy Math!

To ensure the kids love the lesson, I find a few commercials (yes, I make sure they are appropriate) and show those during the class. I love it! This day has gone from one I used to dread to a one I treasure. The kids and I enjoy it, and I hope you will too! Thank you, Yummy Math!

3 Super Bowl Lesson Plans that Keep Kids Engaged

 

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