I use this script (I use a Mac) on a program called Keyboard Maestro in conjunction with my Blooket & Speedsheet Generator Google Spreadsheet to automatically add math problems to Blooket. If you use Windows, you can make your own script using AutoHotKey
This is another Google Spreadsheet creation that takes all the important things to memorize in the Winn-ing AP Calculus curriculum I use and allows teachers to make the speedsheet and answer key in a matter of seconds.
This light switch problem (or sometimes called the 100 door puzzle) is a fun math task that has a low floor and high ceiling.
Start by watching Numberphiles "The Light Switch Problem"
Play with Mr. Sindel's Geogebra Visualization (as seen above)
Dig deeper with Brilliant's 100 Doors Problem and learn about the relationship between factorization, number of unique factors, number theory, and more
This activity brings fractals out of the textbook and into nature, starting with Mandelbrot’s famous coastline of Britain problem (coastline paradox). Students measure coastlines with different “rulers,” compare their results, and realize why jagged shapes don’t have a fixed length. Using grid sampling, they estimate fractal dimension and see how this explains the huge differences in reported coastline lengths for places like Norway versus South Africa. The video solution ties it all together, showing how fractal geometry helps describe messy, real-world patterns with surprising accuracy.
This activity dives into the “pure math” side of fractals, where shapes like the Sierpinski Triangle and Koch Curve repeat themselves perfectly at smaller and smaller scales. Students explore how scaling works, discover why fractal dimensions can land between whole numbers, and practice calculating those dimensions with a simple log formula. The worksheet makes the abstract idea of “more than a line but less than a plane” concrete, and the video solution walks step-by-step through examples so learners can see how the math unfolds.
CPM focuses on making sure that each student has a dedicated role (other than helping solve the math problem). The problem is that CPM assumes you use groups of 4. If you have a class under 12 students, Liljedahl recommends having groups of 2 students instead of 3 where the 2 groups are in close proximity so they can still share ideas easily and be a faux group of 4 (From Liljedah's "Modifying Your Thinking Classroom for Different Settings").
The rationale behind having roles: Having roles turns a group into a team. There are no more randomized groups, but randomized teams. The teacher randomizes groups of 2 and then quickly says "The person with the longest hair is the Team Organizer and the person with the shorter hair is the Team Communicator". It goes that fast and now the person with the longer hair knows it is their responsibility to make sure supplies are put away, will be the on that starts the task, etc. It goes fast and students can easily refer to this poster/handout that is on your classroom wall.
All incoming freshmen complete this diagnostic at the start of the year to assess their foundational math skills before beginning Integrated Math 1. The assessment covers five key areas: whole number operations, negative numbers, order of operations, fractions/decimals/percents, and solving for unknowns.
Results are entered into a Google Sheet that automatically analyzes student performance by topic, color-codes strengths and weaknesses, and groups students into tiers for targeted support. This data helps identify which students are ready to move forward independently and which need reinforcement in essential computation skills.