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Factoring and Lowest Common Multiple - Advanced

Unit 12

This math unit progressively builds upon understanding prime factorization and factoring skills through various applications. Initially, students apply prime factorization to verify if one number is a multiple of others. Enhancing this base, they tackle similar problems using variables as factors, exploring more complex algebraic expressions. The unit proceeds to deepen comprehension of factor trees, where students identify prime factors extensively. Advancing further, the unit focuses on utilizing Venn diagrams and low-tech visual aids to determine the Lowest Common Multiple (LCM) and understanding distinct prime factors when factoring multiple numbers simultaneously. By analyzing various populated and theoretical sets, learners systematically identify LCMs and distinguish necessary prime factors across different scenarios. Finally, the course engages students in implementing Venn diagrams to find distinct factors and the greatest common factors (GCF), alongside nurturing their capability to analyze factorization through multiple choice challenges and factor tree construction, solidifying their skills in handling complex factoring and number theory tasks.

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 finding the lowest common multiple and identifying distinct prime factors of sets of three numbers....

This math topic involves practicing the determination of the Lowest Common Multiple (LCM) using factor diagrams with three...

This math topic focuses on developing skills in factoring and finding the Lowest Common Multiple (LCM) using Venn diagrams...

This math topic focuses on the concept of prime factorization using factor trees. Students practice breaking down numbers...

This math topic practices advanced skills related to prime factorization, checking if one number is a multiple of another,...

This math topic involves applying prime factorization to determine if one number is a multiple of two others. Problems require...

This math topic focuses on practicing prime factorization by breaking down numbers into their prime factors, specifically...

This math topic focuses on using factor diagrams to find the lowest common multiple (LCM) of given numbers, with exercises...

This math topic focuses on advanced skills related to factoring and finding the Lowest Common Multiple (LCM) using Venn diagrams...

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

This math topic focuses on finding the Lowest Common Multiple (LCM) of three numbers. It involves problems where students...

This math topic focuses on identifying distinct prime factors of sets of three numbers. It reinforces skills in factoring...

This math topic focuses on finding the Lowest Common Multiple (LCM) of two numbers, which is an integral part of fraction...

This math topic involves using Venn diagrams to factor groups of three numbers and determine their lowest common multiple...

This math topic focuses on using factor diagrams within Venn diagrams to determine the lowest common multiple (LCM) of three...

This math topic focuses on advanced skills related to prime factorization, particularly assessing if one number is a multiple...

This math topic focuses on prime factorization and understanding multiples from expressions involving variables represented...

This math topic focuses on advanced skills related to prime factorization, determining if one number is a multiple of another,...

This math topic includes exercises on prime factorization and checking if one number is a multiple of another based on their...

This math topic focuses on advanced concepts of prime factorization and checking whether one number is a multiple of others,...

This math topic involves evaluating whether a given number \( z, r, y, b, m, r, \) or \( c \) is a multiple of two other...

This math topic focuses on prime factorization, specifically practicing the skill of factorizing numbers into four factors....

This math topic focuses on using Venn diagrams for factoring and finding the lowest common multiple (LCM) of three numbers....

This math topic focuses on using factor diagrams to find the lowest common multiple (LCM) of three numbers. It is designed...

This math topic focuses on practicing how to find the lowest common multiple (LCM) of three numbers by analyzing their factorizations....

This math topic focuses on identifying and listing distinct prime factors of sets of three numbers. Students analyze a given...

This topic focuses on the practice of finding the Lowest Common Multiple (LCM) for sets of three numbers. Each question presents...

This math topic focuses on using Venn diagrams to identify and calculate the lowest common multiple (LCM) of three numbers....

This math topic involves the use of Venn diagrams to represent the factorization of three numbers. The problems require deducing...

This math topic focuses on using Venn diagrams to identify shared prime factors among three numbers. The problems in this...

This math topic practices the skills of factoring numbers and understanding Venn diagrams to identify distinct prime factors...

This math topic involves practicing factoring skills using Venn diagrams for three numbers. Students are required to populate...

This math topic focuses on practicing factoring skills using Venn diagrams, specifically with three numbers. It involves...

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

This math topic covers finding the lowest common multiple (LCM) of three numbers. It includes several practice questions,...

This math topic focuses on finding the lowest common multiple (LCM) of three numbers by analyzing their factorizations. Students...