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## Integrating Machine Learning in Mathematics Classrooms

Explore a lesson in which students used conditional probability to conjecture a predictive text algorithm, which, if translated into a coding language, could teach a computer to predict what a user wants to type, given the previous words in a message.

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## Cakes, Cookies, and Gumballs, Oh My!

First graders learn about artist Wayne Thiebaud and explore estimation, counting, and probability while creating an artistic masterpiece.

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## GPS: From Combinations to Probability

Growing Problem Solvers offers four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

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## GPS: Gopher Tunnel Probability

The Growing Problem Solvers department this month focuses on probability. Students are given concrete gopher tunnels to think about likely events. As the tunnels get more complicated, students will need to consider compound probabilities. Students at all grade levels can construct their own tunnels and think about how likely different routes are to be traveled.

With the youngest students, it may be prudent to discuss chances as never, not likely, likely, and certain. For older students, you can represent probabilities as percentages or fractions, or even ranges of percentages, such as 0 percent, less than 50 percent, exactly 50

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## GPS: Spring Frogs

April 2020's GPS department provides tasks for each grade band that invite students to reason with age-appropriate number theoretic concepts.

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## GPS: From Folding to Dynamic Geometry Environments

In this month's Growing Problem Solvers, we focused on supporting students' understanding of congruence and similarity through rigid motions and transformations. Initial understandings of congruence and similarity begin in first grade as students work with shapes in different perspectives and orientations and reflect on similarities and differences.

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## Problems to Ponder

Problems to Ponder provides 28 varied, classroom-ready mathematics problems that span grades PK-12, arranged in order of grade band. Links to the problem answers are available in this department.