Find the greatest common factor of a given numbers using factor trees.
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Find the greatest common factor of a given number using lists.
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Find the greatest common factor of a given number using lists.
A free CK-12 account is required to view all materials.
Students will learn how to find the Greatest Common Factor of two or more numbers by using math manipulatives.
Practicing math problems is a great way to study for a math test!
For this learning module, students are asked to identify the greatest common factor of two whole numbers that are one or two digits. Includes video demonstrating a sample problem [1:37] and a set of practice questions.
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For this learning module, students must solve word problems where they are asked to reduce fractions to their lowest terms. Includes video demonstrating a sample problem [1:59] and a set of practice questions.
A free CK-12 account is required to view all materials.
Students collaborate on a greatest common factor and least common multiple project.
Students further their understanding of finding the greatest common factor and least common multiples.
Students show what they know about greatest common factor and east common multiple.
When would you come across GCF and LCM? Students apply their knowledge of GCF and LCM to solve word problems.
Students differentiate between greatest common factor and least common multiple word problems.
In this video, learn how to find the greatest common factor of two numbers. Then, see how this can be used to solve problems with large numbers. In the accompanying classroom activity, students learn to find prime factors using factor trees. They then learn how prime factors, a Venn diagram, and simple multiplication can help them find the greatest common factor of two numbers. The lesson challenges students to find the greatest common factor of increasingly large numbers. It also pushes them to think about how prime factors are the building blocks of composite numbers.
Clearly understand the difference between factors and multiples builds a foundation for applications and problem solving using GCF and LCM.
Brush up on your math skills relating to the greatest common factor then try some practice problems to test your understanding.
Great resource for learning and practicing fractions and their different operations. Math worksheets are printable, may be customized, and include answer keys.
Great resource for learning and practicing fractions and their different operations. Math worksheets are printable, may be customized, and include answer keys.
Expressions
Type of Unit: Concept
Prior Knowledge
Students should be able to:
Write and evaluate simple expressions that record calculations with numbers.
Use parentheses, brackets, or braces in numerical expressions and evaluate expressions with these symbols.
Interpret numerical expressions without evaluating them.
Lesson Flow
Students learn to write and evaluate numerical expressions involving the four basic arithmetic operations and whole-number exponents. In specific contexts, they create and interpret numerical expressions and evaluate them. Then students move on to algebraic expressions, in which letters stand for numbers. In specific contexts, students simplify algebraic expressions and evaluate them for given values of the variables. Students learn about and use the vocabulary of algebraic expressions. Then they identify equivalent expressions and apply properties of operations, such as the distributive property, to generate equivalent expressions. Finally, students use geometric models to explore greatest common factors and least common multiples.
Lesson OverviewStudents use a geometric model to investigate common multiples and the least common multiple of two numbers.Key ConceptsA geometric model can be used to investigate common multiples. When congruent rectangular cards with whole-number lengths are arranged to form a square, the length of the square is a common multiple of the side lengths of the cards. The least common multiple is the smallest square that can be formed with those cards.For example, using six 4 × 6 rectangles, a 12 × 12 square can be formed. So, 12 is a common multiple of both 4 and 6. Since the 12 × 12 square is the smallest square that can be formed, 12 is the least common multiple of 4 and 6.Common multiples are multiples that are shared by two or more numbers. The least common multiple (LCM) is the smallest multiple shared by two or more numbers.Goals and Learning ObjectivesUse a geometric model to understand least common multiples.Find the least common multiple of two whole numbers equal to or less than 12.