
Normal Distributions
Students explore density curves and the normal distribution as a model for quantitative data. They use the empirical rule and z-scores to calculate proportions and percentiles.
About This Topic
Students explore density curves and the normal distribution as a model for quantitative data. They use the empirical rule and z-scores to calculate proportions and percentiles.
Key Questions
- What are the properties of a normal distribution?
- How do z-scores standardize data across different distributions?
- How can we use the standard normal table to find probabilities?
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
Planning templates for Statistics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Exploring One-Variable Data
Categorical Data Analysis
Students analyze categorical data using frequency tables, bar charts, and pie charts. They also explore marginal and conditional distributions to identify potential associations between two categorical variables.
8 methodologies
Displaying Quantitative Data
Students construct and interpret graphical displays of quantitative data, including dot plots, stem plots, and histograms. They learn to describe the overall pattern of a distribution and identify striking departures.
8 methodologies
Summarizing Quantitative Data
Students calculate and interpret numerical summaries of data, such as mean, median, standard deviation, and interquartile range. They evaluate how extreme values affect these different measures.
8 methodologies