Objective
By the end of this lesson, you will be able to analyze bivariate data, model linear associations using the least-squares method, understand growth and decay in sequences through recursion, and use graphs to model everyday situations.
Materials and Prep
- Pen and paper
- Calculator
- No prior knowledge required
Activities
- Bivariate Data Analysis: Collect data on two related variables (e.g., height and weight) and create scatter plots to visualize the relationship.
- Growth and Decay in Sequences: Start with a number and use a recursive formula to generate a sequence that models growth or decay.
- Graphs and Networks: Create a graph to represent a social network of friends or a transportation network.
Calculate the correlation coefficient to determine the strength and direction of the relationship.
Observe how changing the initial value or the growth/decay factor impacts the sequence.
Identify nodes (points) and edges (lines) to analyze connections and pathways.
Talking Points
- Bivariate Data Analysis: "When we analyze bivariate data, we are looking for patterns or relationships between two variables. Scatter plots help us visualize these relationships."
- Growth and Decay in Sequences: "Sequences can model how things grow or decay over time. By changing the initial value or growth/decay factor, we can see how the sequence evolves."
- Graphs and Networks: "Graphs are not just for math problems! They can represent real-world networks like social connections or transportation routes."