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.
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.
The 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.
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
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!