High School Probability and Statistics Units, Tree Diagrams to Tests

Stats elective · Probability 9–12

For a high school statistics or probability elective, the Probability & Statistics Units Bundle gives you five units that build in order: probability and tree diagrams, conditional probability with two-way tables, binomial experiments, the binomial distribution and expected value, and hypothesis and significance tests. The set costs $69.99 for Grades 9–12, compared with $112.95 for the units bought separately.

See the statistics units
5 unitsTree diagrams to significance tests
Grades 9–12Statistics, probability, senior electives
$69.99$112.95 if bought separately
Quick answer

The Probability & Statistics Units Bundle costs $69.99 and contains five units: Probability – Fundamentals and Tree Diagrams; Conditional Probability and the Four-Field Table, which is a two-way table; Binomial distribution and expected value; Hypothesis test and significance test; and Binomial Distribution & Probability Experiments, labeled Grades 7–10. Bought separately they cost $112.95. It suits statistics, probability and senior math electives, but it is not a complete statistics course.

The resources

Probability & Statistics Units Bundle, Grades 9–12

5 resources in one download: $69.99 instead of $112.95 bought separately.

Start with the first resource; the others are optional add-ons. Open any cover for the full contents and price.

The real problem

The points where a stats class usually stalls

A statistics elective often draws students who did not enjoy algebra but want math that feels useful. That is an opening and a risk. They engage with real questions, but the moment the topic turns into formulas without meaning, they switch off. The sticking points are predictable. Students confuse the probability of A and B with the probability of A given B, which is why conditional probability and two-way tables cause so much trouble. They can compute a binomial probability on a calculator without knowing what the distribution describes. And hypothesis testing, with its null hypothesis, significance level and two kinds of error, is the topic many students memorize the night before and forget the week after. What helps is a sequence where each step prepares the next. Tree diagrams make conditional probability visible. Experiments give the binomial distribution something concrete to describe, and expected value turns it into a prediction students can check. Then a significance test makes sense: is this result unusual enough to doubt the starting assumption?

Why it fits

How the five units form a sequence

The units move from counting outcomes to judging evidence, each one using what came before.

  • Probability – Fundamentals and Tree Diagrams gives students a visual tool for multi-step events.
  • Conditional Probability and the Four-Field Table uses two-way tables to sort out conditional questions.
  • Binomial Distribution & Probability Experiments lets students produce results before formalizing them.
  • Binomial distribution and expected value turns repeated trials into predictions students can test.
  • Hypothesis test and significance test closes the sequence with decisions based on evidence.
  • The experiments unit is labeled Grades 7–10, which gives weaker students an easier way in.

Getting started

A suggested order for a semester elective

This order follows the logic of the topics. How long each unit takes depends on your group.

  1. Lay the base with tree diagramsStart with Probability – Fundamentals and Tree Diagrams. Make sure students can draw and read a tree for two or three stages before you move on; the later units lean on that picture.
  2. Tackle conditional probabilityTeach Conditional Probability and the Four-Field Table next. Two-way tables give students a second view of the same problem, which helps those who find trees confusing.
  3. Run the experimentsUse Binomial Distribution & Probability Experiments so students generate their own results. Data they produced themselves makes the formulas in the following unit far less abstract.
  4. Formalize the binomial distributionMove to Binomial distribution and expected value. Students compare their experimental results with predicted values and see why expected value is a long-run idea, not a promise about the next trial.
  5. Finish with significance testsEnd with Hypothesis test and significance test. Give the two kinds of error extra time, since that is where understanding usually breaks down, and tie them to examples students already know.

What to buy

Which statistics product to choose

For a probability and statistics elective, buy the Probability & Statistics Units Bundle at $69.99; the five units cost $112.95 separately. For Grades 10–12, the High School Data & Statistics Bundle ($39.99, parts $54.97) adds a hypothesis testing and errors unit, matrix route planning and a data analysis escape room with a World Cup 2026 theme. Students who need algebra first are better served by the Algebra 1 Pathway Bundle ($44.99). For a senior class heading toward calculus, the High School Calculus Units Bundle costs $89.99.

See the full contents on the product page →

Honest limits

Honest limits

This bundle covers probability and inference through the binomial distribution. Descriptive statistics, data displays, sampling, regression and the normal distribution are not named in its units, so a full statistics course needs more material. It is not aligned with AP Statistics or any state's math standards and has no standards codes, so check it against your course outline. No software or calculators are included. Shared use by a math department requires a short message to Teach Lessons first. If it does not work for your class, exchange it within 7 days for store credit of equal value.

Good to know

Frequently asked questions

Is it aligned with AP Statistics or my state's math standards?

No. The bundle is not aligned with, endorsed by or approved under AP Statistics, the College Board or any state's math standards, and it carries no standards codes. Compare the five unit titles with your state's statistics and probability expectations or your district's course outline, and use the units where they match.

Is this a full statistics course?

No. It is five units on probability, the binomial distribution and significance testing. A full course usually also covers describing data, sampling and regression. Use the bundle as the probability and inference part of your elective and plan the remaining topics from other sources. A data project of your own design works well for that part.

Why is one unit labeled Grades 7–10?

Binomial Distribution & Probability Experiments was written for a younger range. In a high school elective it works as a hands-on entry to the binomial distribution, especially for students who need a concrete start before the Grades 9–12 unit on the same topic. Strong groups can move through it quickly.

Do students need statistical software?

No software is included or required by the product description. Students can work by hand or with whatever calculators your school already uses. If your course runs a spreadsheet or a statistics program, it can sit alongside the units, for example to simulate many repetitions of an experiment.

What is a four-field table?

It is another name for a two-way table with two rows and two columns, used to sort outcomes by two characteristics at once. The conditional probability unit uses it to show how a probability changes once you already know one fact about an outcome, which many students find clearer than a formula.

Can I buy only the hypothesis testing unit?

Yes. Each part is also sold on its own, and the bundle page links to every part with its price. If you need several of the five units, add up their single prices and compare the total with the bundle at $69.99 before you check out.

Build your stats elective around a clear sequence

Open the product page to see the five units and their parts, then download the first one for next week.

See the statistics units