Algebra tiles use an area model to bridge from the concrete to the abstract by showing students various processes in a visual manner that can then be translated into symbolic language.
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Written by a classroom teacher to interest and challenge while developing problem solving skills, this book is aimed at enriching students’ mathematical experiences. There are many questions, ranging from quite accessible to those requiring significant ingenuity. Use them as a stimulus to a discussion, to engage and extend quicker students, as a take home exercise, or as an intriguing finish to a lesson. There is a valuable hints section which briefly outlines possible strategies (such as “Don’t start with a common denominator as this could lead to complicated algebra. Try …”) to help students progress independently with a problem if they reach an impasse. The topics covered are algebra, similar figures, functions, analytic geometry, three-dimensional geometry and systems of equations. Included are fully worked solutions, with worded explanations of reasoning and mathematical techniques used.
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