Statistics & Probability

Statistics and probability might be the most useful math a 7th grader learns all year. Not because they’ll calculate mean absolute deviation at the grocery store — but because this is where kids start learning to think critically about data, claims, and chance. Every headline with a poll number, every “4 out of 5 dentists recommend” claim, every game involving dice or cards — it all connects here.

This program spends nine weeks building those skills from the ground up, and the sequence matters. We don’t jump straight into probability. First, kids need to understand where data comes from and whether it can be trusted.

What the Weeks Cover

Weeks 1 and 2 are about sampling. Why does it matter that a survey used random selection? What happens when you only ask the people who happen to be standing around? Kids learn to spot biased samples and make proportional predictions — if 30 out of 50 students prefer pizza, what does that mean for all 600 students in the school? It’s straightforward math, but the reasoning skill is surprisingly sophisticated.

Weeks 3 and 4 dig into describing data. Mean, median, and mode first — with plenty of practice on when to use which one. (Short version: if your data has outliers, the median tells a more honest story than the mean. That one concept explains a lot about how averages get misused in the real world.) Then variability: range, MAD, and IQR. These tell you how spread out data is, which matters just as much as the center.

Week 5 puts it together by comparing two distributions side by side. Is the difference between two groups meaningful, or just noise? Kids learn to use measures of center and variability together to answer that question — with dot plots and box plots as visual tools.

Then probability. Week 6 introduces the basics: theoretical probability (what should happen) versus experimental probability (what actually happened). Week 7 builds probability models — uniform and non-uniform — and tests them with simulations. Week 8 tackles compound events, where kids use tree diagrams and the multiplication principle to find probabilities of combined outcomes. Week 9 is the capstone review pulling from everything.

How It Works

Five worksheets per week, full answer keys, mix of problem types. The early worksheets in each week focus on computation and recall, the later ones push into analysis and evaluation. By Week 8, kids are evaluating whether probability claims make sense and designing their own surveys — that’s genuine statistical thinking, not just plugging numbers into formulas.

Aligned to Common Core 7.SP standards across the full statistics and probability strand. Works as daily practice alongside any math curriculum, or as a self-contained unit for homeschool families.