Introduction to Statistics Plans
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Intro Statistics Units
The Math Medic Intro Statistics course is a two-semester course with the intention of giving students experience with the statistical problem-solving process of (1) formulating a statistical investigative question, (2) collecting or considering data, (3) analyzing data, and (4) interpreting results. Compared to AP Statistics, this course is more scaffolded, utilizes a more relaxed pace, and does not cover as much content.
We have ready-to-be-taught lessons for each day of the school year, with perfect alignment to the textbook Statistics and Probability with Applications (4e).
- Learn to display and interpret categorical and quantitative data (dotplots, stemplots, histograms)
- Develop measures of center (mean, median) and variability (range, IQR, standard deviation)
- Explore boxplots and identify outliers in datasets
- Practice analyzing data through multiple visual and numerical summaries
- Use percentiles and z-scores to describe locations in distributions.
- Transform data to examine effects on center and spread.
- Understand and apply normal distribution concepts and the empirical rule.
- Use technology to calculate areas and values under a normal curve.
- Analyze relationships between categorical and quantitative variables using graphs and context.
- Study correlation and regression, including least-squares regression lines.
- Assess linear models using residuals and interpret slope and intercept.
- Apply statistical tools through real-world context (e.g., Barbie Bungee activity).
- Learn the difference between sampling methods and types of bias.
- Design and interpret observational studies and experiments.
- Understand inference in the context of data collection.
- Apply concepts through a multi-day Anchored Putting simulation and review.
- Explore randomness and conduct simulations to estimate probability.
- Apply rules of probability using two-way tables, Venn diagrams, and conditional probabilities.
- Use multiplication rules for independent events, permutations, and combinations.
- Solve compound probability problems and interpret real-world contexts.
- Distinguish between discrete and continuous random variables.
- Analyze binomial distributions and calculate expected values.
- Use normal approximations for binomial distributions when appropriate.
- Apply concepts through calculations and cumulative review.
- Define and identify sampling distributions of sample proportions and means.
- Examine how sample size affects center and variability of distributions.
- Apply the Central Limit Theorem to justify normal approximations.
- Use simulations and activities (e.g., Reese’s Pieces) to reinforce learning.
- Construct and interpret confidence intervals for proportions and means.
- Analyze margin of error and sample size impacts.
- Use formulas and conditions to estimate population parameters.
- Practice applying the four-step statistical process for estimation.
- Understand the logic and language of significance tests.
- Conduct significance tests for proportions and means.
- Use p-values and context to make decisions about hypotheses.
- Reinforce understanding with structured four-step practice.
- Estimate and test claims about differences between proportions and means.
- Analyze paired data and interpret mean differences in context.
- Use quizzes and review activities to synthesize comparisons.
- Apply statistical methods to real data collection and analysis.
- Conduct chi-square tests for goodness-of-fit and association.
- Analyze relationships between categorical variables using contingency tables.
- Estimate and test claims about regression line slopes.
- Review inference techniques across different data types and contexts.
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Math Medic is an all-in-one package for your classroom. We provide a day-by-day schedule with all the supplemental materials you need. The lessons are free, while homework, quizzes, and tests are available as add-on services.
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We use a discovery- or inquiry-based lesson model that uses activities to enable students to guide the lessons. Teachers don’t lecture but respond to the students.
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