Data Detective

Have you ever wondered why some things feel random but still seem to follow rules?

Introduction

In this expedition, we’ll dive into the world of probability and data to uncover the secrets behind chance and patterns. You’ll explore how to predict events using theoretical and experimental probability, create simulations to solve real-life problems, and even tackle tricky compound events like a pro.

But that’s not all—get ready to become a data detective! You’ll learn how to use random samples to describe populations, compare groups, and make informed decisions about the world around you. Whether it’s rolling the dice, designing experiments, or analyzing data from surveys, this expedition will give you the tools to see the hidden math behind everyday life.

Essential Questions

• What is a proportional relationship, and how is it identified?
• What are proportional relationships, and how is proportionality helpful in solving problems?
• How can graphs and equations be used to represent proportional relationships?
• How are probabilities calculated?
• What is the best method for collecting data?
• How can data be analyzed to draw conclusions?
• How can data be represented visually to reveal patterns or trends?
• How does understanding probability help make predictions about future events

Learning Objectives

• Identify and represent proportional relationships.
• Represent and compare proportional relationships.
• Use proportionality to calculate missing values.
• Interpret graphs to determine the constant of proportionality in proportional relationships.
• Solve multi-step real-world problems using proportionality, percentages, and unit rates.
• Calculate probabilities of unknown events.
• Design probability experiments.
• Determine the best sampling method for a specific representative sample.
• Describe data sets using measures of center and measures of spread.
• Create and interpret box-and-whisker plots, line plots, and scatter plots to represent data visually.