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How can we use math to understand—and solve—challenges in our world? In What We Do When Fairness Fails Us, Moises, Marissa, and Astrud realize that a specialized high school uses a lottery for admission that prevents many qualified students from attending. As they research how lotteries work, they come across videos by Federico Ardila, a mathematician who explains concepts like randomness and probability and how they apply to our everyday lives. Join Moises, Marissa, and Astrud as they learn from Federico how they can use math—and their voices—to change unfair systems and help...

This book, the eleventh in the Putting Essential Understanding into Practice Series, focuses on misconceptions about variables, expressions, equations, and functions that students often bring to grades 6-8. The authors present tasks given to middle-grades students and examine sample responses to them to show how teachers can bring misconceptions to the surface, where they and their students can inspect them, recognize errors and limitations, and replace faulty thinking with robust ideas.