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Factoring and Lowest Common Multiple - Practice

Unit 9

This math unit starts with teaching students the fundamentals of prime factorization, enabling them to break down numbers into their prime components using factor trees. As students advance, they explore Venn diagrams to grasp the relationship between different sets of numbers, primarily focusing on identifying common and distinct factors. The unit progresses to more complex applications by teaching how to utilize these factorizations to find the lowest common multiple (LCM) of two and eventually three numbers. This skill is fundamental in solving problems involving the LCM in both numerical and variable formats, enhancing students' understanding of divisibility, multiples, and their practical applications in different scenarios. Through a repetitive, yet increasingly challenging set of exercises, students strengthen their factoring skills and apply these in diverse contexts, including populating Venn diagrams correctly and determining multiplicity from algebraic expressions. This structured progression is vital for mastering the essentials of number theory related to factors and multiples.

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 utilizing Venn diagrams to practice factoring and determining the greatest common factor (GCF)...

This math topic focuses on identifying whether given numbers are prime or composite. It is a part of learning about factoring...

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

This math topic involves identifying and listing the distinct prime factors of specified pairs of numbers. It challenges...

This math topic focuses on practicing the skills of factoring numbers, identifying prime factors, and using Venn diagrams....

This math topic focuses on using factor diagrams (Venn diagrams) to find the lowest common multiple (LCM) of two numbers....

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 three numbers. It is designed...

This math topic focuses on using Venn diagrams to factor numbers and identify distinct factors of two numbers. It involves...

This math topic focuses on practicing prime factorization and determining if one number is a multiple of another by analyzing...

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 prime factorization using factor trees, specifically practicing the breakdown of numbers into...

This math topic focuses on calculating the Lowest Common Multiple (LCM) using Venn Diagrams. It involves factoring two numbers,...

This math topic focuses on practicing prime factorization, specifically breaking numbers down into combinations of four prime...

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

This math topic focuses on using Venn diagrams to factor numbers and determine their distinct factors at a level 4 difficulty....

This math topic focuses on utilizing Venn diagrams to identify distinct factors of given numbers. The exercises guide learners...

This topic focuses on the mathematical skill of calculating the Lowest Common Multiple (LCM) of given pairs of numbers. It...

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

These problems help students learn how to find the lowest common multiple (LCM) using factor diagrams (Venn diagrams). Each...

This topic focuses on using factoring and preparing Venn diagrams to find the lowest common multiple (LCM) of two numbers....

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

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 Venn diagrams for factoring and finding the lowest common multiple (LCM) of three numbers....

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

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

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

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

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 and listing distinct prime factors of sets of three numbers. Students analyze a given...

This math topic focuses on finding the lowest common multiple and identifying distinct prime factors of sets of three numbers....

This math topic focuses on determining whether given numbers are prime or composite. It is part of a broader unit on factoring...

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 practicing prime factorization and evaluating whether a given number is a multiple of two other...

This math topic practices identifying prime numbers from pairs of given numbers. Each problem presents two numbers and asks...

This math topic covers skills in prime factorization, identifying multiples, and using variables as factors. The problems...

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 prime numbers from a pair of numbers. It is part of a larger unit concerning factoring...

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

This math topic focuses on finding the Lowest Common Multiple (LCM) from given factorizations. It teaches how to identify...

This topic focuses on utilizing factor diagrams to determine the lowest common multiple (LCM) of given numbers. Each question...

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 prime factorization and determining if one number is a multiple of another. It involves breaking...

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

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

This math topic focuses on finding the Lowest Common Multiple (LCM) from factorizations. It is part of a broader exploration...

This math topic focuses on the application of factorization and Venn diagrams to find the lowest common multiple (LCM) of...