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Factoring, Multiplication, Division, Fractions - Advanced

Unit 14

This math unit begins with the development of prime factorization skills, starting by completing factor trees with up to four factors to recognize and apply prime factors in different contexts. As learners progress, they refine their ability to perform prime factorizations into three factors, focusing on specific numeric examples. The unit then advances into the application of factorization techniques to simplify multiplicative and divisive operations within fractions. Students learn to simplify fraction multiplication and division by cancelling common factors, aiming toward expressing complex fractions in their simplest form. As the students' skills in recognizing and manipulating factors improve, the unit moves toward comparing factored numbers through relational operators, enhancing their understanding of algebraic manipulation, comparison, and exponentiation. Finally, the unit proceeds to factor large numbers where learners identify specific prime factors and associated powers. They practice factoring under constraints with larger composite numbers, enhancing their overall capabilities in factoring, multiplication, division, and deepening their understanding of number decomposition and algebraic flexibility. The focus on large factored numbers expands from two to three factors, with the incorporation of advanced techniques to simplify multiplicative operations involving large and composite numbers.

Skills you will learn include:

Foundational Units

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Learning through Game Play

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This math topic focuses on recognizing and identifying large numbers represented in a factored form with three distinct factors....

This math topic focuses on factoring large numbers into their prime components with three factors. It's about identifying...

This math topic focuses on developing skills in prime factorization using factor trees. Participants are shown several problems...

This math topic focuses on using factorization to simplify multiplication of fractions. Each problem presents complex fraction...

This math topic focuses on practicing the simplification of fraction division through factorization. It is designed to help...

This math topic focuses on factoring large numbers into a product of primes with designated exponents, where each question...

This topic focuses on practicing how to compare expressions involving products of numbers raised to different powers. Specifically,...

This math topic focuses on factoring large numbers to identify their prime factors with specific powers, as presented in...

This math topic focuses on factoring and comparing factored numbers with two factors. It is part of a broader unit that includes...

This math topic focuses on practicing the simplification of complex fractions through factorization. It involves using basic...

This math topic focuses on simplifying fraction multiplication through factorization. Students practice identifying and cancelling...

This math topic focuses on factoring and comparing factored numbers involving three factors. Students practice applying the...

This math topic focuses on enhancing skills in identifying and factoring large numbers with specified conditions regarding...

This math topic focuses on factoring large numbers into two factors and identifying powers of given variables. It uses multiple-choice...

This math topic focuses on enhancing skills in factoring and comparing factored numbers with two factors. Learners practice...

This math topic focuses on employing factorization techniques to simplify fraction divisions by converting composite numbers...

This math topic focuses on simplifying the multiplication of fractions through factorization. The students practice factoring...

This math topic focuses on prime factorization, where students must determine the sets of prime factors that multiply together...

This topic focuses on advanced arithmetic skills, particularly 'Prime Factorization' using a 'Factor Tree with 4 Factors'....

This math topic covers the skill of simplifying fraction multiplication through factorization, specifically transitioning...

This math topic focuses on practicing the skill of prime factorization, specifically breaking down numbers into three factors....

This math topic focuses on enhancing skills in factoring and simplifying fractions through multiplication. It includes practicing...

This math topic focuses on comparing factored numbers with exponents, specifically working with instances where two factored...

This math topic focuses on practicing factoring skills, specifically comparing the results of numbers expressed as products...