This math unit begins with prime factorization, teaching students to break down numbers into prime factors, which sets a solid foundation in understanding numbers' structural properties. The unit progresses to various aspects of factoring, such as transforming expressions from a factored form to a composite form and vice versa. These activities enhance students' fluency in manipulating expressions and deepen their understanding of the multiplication and division processes. As the unit advances, the focus shifts towards applying these factoring skills to simplify fractions, initially working with composite numbers and gradually moving towards more complex fractions. Through structured problem-solving, students learn to factorize both numerators and denominators, simplifying fractions to their most reduced forms. By the end of the unit, students are adept at simplifying multiplication and division of fractions through factorization, mastering a crucial aspect of algebraic manipulation and enhancing their overall mathematical problem-solving skills.
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28