Lessons & Activities


  • Sample City & The Probability Carnival

    What’s inside: Misconception coverage summary: Questions 1–3 target sampling and inference errors — trusting friends, the pizza line, or a single team as a sample, reporting the raw sample count or the percent as the population answer instead of scaling, and misreading normal sample-to-sample variation as error or false precision. Question 4 targets comparison traps:…


  • Circle Unroller & Angle Detective

    What’s inside: Misconception coverage summary: Questions 1–3 target the circle traps — using the radius in the diameter formula (πr), swapping circumference and area formulas in both directions, feeding 2πr the diameter, forgetting to square, and the big one: squaring the diameter instead of halving first. Questions 4–7 target angle errors: assuming side-by-side angles are…


  • Architect’s Studio

    What’s inside: Misconception coverage summary: Questions 1–3 target scale errors — adding or subtracting the scale number instead of multiplying, converting in the wrong direction (dividing drawing→actual or multiplying actual→drawing), and the big one: scaling area by k instead of k², plus believing area doesn’t scale at all. Questions 4–7 target triangle-condition traps: assuming any…


  • Balance Lab

    What’s inside: Misconception coverage summary: Questions 1, 2, and 4 target solving-order errors — adding instead of subtracting the constant, skipping it entirely, dividing only some terms (the x = −1 trap), stopping at 3x = 15, and multiplying instead of dividing. Questions 5–8 target inequality traps: the missed flip when dividing by a negative,…


  • Expression Machines

    What’s inside: Misconception coverage summary: Questions 1, 2, and 3 target the combining traps — merging unlike terms (3x + 2 = 5x), swapping which numbers belong to which pile, and the vanishing variable (5x − 2x = 3) — with multiplication-instead-of-addition slips as secondary distractors. Questions 4, 5, 6, and 9 target distribution errors:…


  • Smoothie Stand Tycoon

    What’s inside: Misconception coverage summary: Questions 1 and 5 target division-direction errors — multiplying instead of dividing by a fraction, flipping x÷y for y÷x when finding rates and k — while Question 6’s distractors add the same reversal at the equation level (x = 4y, y = 4÷x). Questions 3, 4, and 6 target proportionality…


  • Number Line Expedition

    What’s inside: Misconception coverage summary: Questions 1, 3, 5, 9, and 10 target the addition traps — applying “two negatives make a positive” to sums, adding absolute values when signs differ, taking the wrong sign, and moving the wrong direction in temperature/elevation contexts. Questions 2 and 8 target subtraction errors — dropping the negative in…


  • Balloon Animal Lab: Exploring the Properties of Matter

    What if the most memorable chemistry lab of your first unit cost less than a cup of coffee, required zero chemicals, and ended with every student holding a balloon dog? Here’s how I turn balloon animals into a full NGSS-aligned investigation of the properties of matter — solids, gases, pressure, temperature, and the physical vs.…


  • The 7 SI Base Units


  • SI Prefixes: From Kilometers to Nanometers