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Two Way Tables Guided Notes w Doodles | Graphic & Sketch Notes 8th Grade
$4.25
Overview
- Standard: CCSS 8.SP.A.4
- Unit: 8th Grade → Unit 7: Statistics
- Grade: 8th Grade
Get the Lesson Materials
Two Way Tables Guided Notes w Doodles | Graphic & Sketch Notes 8th Grade
$4.25
Learning Objectives
After this lesson, students will be able to:
- Construct two-way frequency tables to organize and display data from two categorical variables
- Interpret data from two-way tables to identify relationships and patterns between variables
- Calculate probabilities using relative frequency tables derived from two-way tables
- Apply knowledge of two-way tables to real-life scenarios to make predictions & calculate probabilities
Prerequisites
Before this lesson, students should be familiar with:
- Basic arithmetic operations (addition, subtraction, multiplication, and division)
Materials
- Pencils
- Colored pencils or markers
- Two Way Tables Guided Notes w Doodles | Graphic & Sketch Notes 8th Grade
Key Vocabulary
- Two Way Table
- Two Way Frequency Table
- Two Way Relative Frequency Table
- Probability
Procedure
Introduction
As a hook, ask students why understanding relationships between categories, like favorite sports and snacks, is important. Encourage real-life examples where data informs decisions. Refer to the last page of the guided notes for applications and FAQs.
Use the first page of the guided notes to introduce two-way frequency tables, explaining how rows, columns, and intersections represent categories and frequency. Walk through the first example and discuss visual aspects. Use the FAQ for common questions. On the second page of the guided notes, show how to convert a frequency table to a relative frequency table and interpret the data.
Based on student responses, reteach as needed, offering extra help to struggling students while advanced students start practice exercises.
Practice
Have students practice constructing and interpreting two-way tables using the maze activity (page 3 of the guided notes). Walk around to answer student questions.
Fast finishers can get into the color by number activity (page 4 of the guided notes) for extra practice. You can also assign it as homework for the remainder of the class.
Real-Life Application
Bring the class back together, and introduce the concept of using two-way tables to analyze data in real-world scenarios, such as survey results, sports statistics, or academic performance across different subjects. Explain how two-way tables can help in visualizing relationships between two categorical variables, such as student study time and test scores.
Encourage students to think about instances in their own lives where they could collect data and represent it using a two-way frequency table, such as preferences for playlists among friends or class attendance tracked by subject and day of the week. This will not only reinforce their understanding but also highlight the practicality of this mathematical concept. Refer to the FAQ for more ideas on how to teach it!
Extensions
Additional Self-Checking Digital Practice
If you’re looking for digital practice for constructing and interpreting two-way tables, try my Pixel Art activities in Google Sheets. Every answer is automatically checked, and correct answers unlock parts of a mystery picture. It’s incredibly fun, and a powerful tool for differentiation.
Here’s 1 activity to explore:
FAQs
A two-way table is a statistical table that displays the frequency category of two categorical variables. It allows you to see how categories from one variable relate to categories from another.
To construct a two-way table, follow these steps:
- Identify the categorical variables you want to analyze.
- Create rows and columns for each category of the variables.
- Fill in the table with the frequency counts of occurrences for each combination of row and column categories.
The purpose of a two-way table is to:
- Summarize data from two categorical variables.
- Facilitate comparisons to observe relationships and trends between the variables.
To interpret a two-way table, examine the data to:
- Analyze frequencies: Look for patterns or categories with higher or lower frequencies.
- Calculate probabilities: Determine the likelihood of certain outcomes by dividing the frequency by the total count.
Relative frequencies are calculated by:
- Dividing the frequency count for a specific category combination by the total number of observations.
- Expressing it as a decimal or percentage to understand the proportion of occurrences.
Two-way tables can be applied in various fields, including:
- Market research: Analyzing customer preferences across demographics.
- Education: Examining student performance across different subjects and grade levels.
Two-way tables assist in probability calculations by:
- Displaying categorical data clearly, making it easier to calculate the probability of events.
- Allowing for the identification of independent or dependent events by observing trends in the data.