"Graph Critique Challenge" - Students analyze graphs from news articles and social media, identifying potential biases and misleading information.

1. "Probability Scavenger Hunt" - Students find and categorize examples of quantitative and qualitative variables in the classroom. 

2. "Data Speed Dating" - Students pair up to discuss and compare different types of data sets in a timed rotation. 

3. "Graph Critique Challenge" - Students analyze graphs from news articles and social media, identifying potential biases and misleading information.

Materials:
- Whiteboard and markers
- Handouts with sample data sets
- Calculators

Objectives:
- Students will be able to differentiate between quantitative and qualitative variables.
- Students will be able to analyze both univariate and bivariate data.
- Students will be able to define and solve problems based on discrete and continuous variables.
- Students will be able to compute and interpret pie charts, bar charts, dot plots, and line charts.
- Students will be able to define population and sample, and understand the importance of sampling methods.
- Students will be able to critically interpret graphs and avoid common misinterpretations.

Structure:
- Introduction (10 mins): Briefly introduce the topic and its relevance to real-world problems. Provide a brief overview of the lesson plan and the key learning objectives.
- Differentiating between quantitative and qualitative variables (15 mins): Discuss the differences between quantitative and qualitative variables, and provide examples of each. Have students work in pairs to categorize a list of variables as either quantitative or qualitative.
- Analyzing univariate and bivariate data (20 mins): Introduce the concepts of univariate and bivariate data, and provide examples of each. Have students work in pairs to analyze a data set using both univariate and bivariate methods.
- Defining and solving problems with discrete and continuous variables (20 mins): Define discrete and continuous variables, and provide examples of each. Have students work in pairs to solve a problem involving either discrete or continuous variables.
- Computing and interpreting graphs (30 mins): Discuss the different types of graphs, including pie charts, bar charts, dot plots, and line charts. Have students work in pairs to create and interpret each type of graph using sample data sets.
- Understanding population and sample (15 mins): Define population and sample, and explain the importance of sampling methods. Have students work in pairs to design a sampling method for a given population.
- Critical interpretation of graphs (10 mins): Discuss common misinterpretations of graphs, and provide tips for avoiding them. Have students work in pairs to identify and correct misinterpretations in a sample graph.
- Wrap up (10 mins): Review the key learning objectives and ask students to reflect on what they have learned. Provide an opportunity for questions and clarification.

Wrap up:
- Review the key learning objectives and ask students to reflect on what they have learned.
- Provide an opportunity for questions and clarification.

Define and analyze problems based on variables, quantitative and qualitative variables, and univariate and bivariate data.
Define and solve problems based on discrete and continuous variables.
Compute pie charts, bar charts, dot plots, and line charts. 
Define population and sample.
Interpret graphs with a critical eye.

Lesson Robot

Lesson Plan