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Factoring, Multiplication, Division, Fractions - Practice

Unit 13

This math unit begins with teaching students prime factorization using factor trees, gradually advancing their skills in breaking down numbers into four and then three factors. The unit progresses into applications of these factorization skills, specifically focusing on simplifying fractions. Initially, students practice converting composite fractions to their simplest forms by canceling common factors. As their understanding deepens, they apply factorization to simplify multiplication and division of fractions, a step that involves more complex and comprehensive manipulations of fractional expressions using factoring techniques. Further into the unit, the emphasis shifts toward analytical skills involving factor comparison. Students compare factored numbers, analyzing expressions with exponents to determine relational values using comparison operators. These tasks reinforce their understanding of multiplication, division, exponents, and deepen their comparative reasoning skills with multiplicative expressions. Towards the end, learners engage in identifying large numbers factored into three components, demonstrating an understanding of number decomposition and exponent manipulation, necessary for advanced arithmetic and algebraic functions.

Skills you will learn include:

Foundational Units
Builds Towards

Activity & Progress

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Learning through Game Play

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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 two factors and identifying powers of given variables. It uses multiple-choice...

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

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 employing factorization techniques to simplify fraction divisions by converting composite numbers...

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

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

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

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

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

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

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

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

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

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

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

This math topic focuses on developing skills in prime factorization using factor trees with four factors. It prompts students...

This math topic focuses on prime factorization using factor trees, specifically practicing the breakdown of numbers into...

In this math topic, learners practice factoring numbers and simplifying fractions by identifying and canceling out common...

This math topic focuses on the skill of simplifying fractions through factorization. Students practice converting composite...

This math topic focuses on using factorization to simplify fractions. Each problem presents composite fractions, requiring...

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

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 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 into a product of primes with designated exponents, where each question...

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