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Common Core Project Based Lesson: GCF and LCM
Common Core Project Based Lesson: GCF and LCM
Common Core Project Based Lesson: GCF and LCM
Common Core Project Based Lesson: GCF and LCM
Common Core Project Based Lesson: GCF and LCM
Common Core Project Based Lesson: GCF and LCM
Common Core Project Based Lesson: GCF and LCM
Common Core Project Based Lesson: GCF and LCM
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Description

This lesson is designed to reinforce prime factorization with the goal of memorizing the factorization of numbers under 50. After tracking data for over twenty years on algebra skills, I have learned this is one of the most important fundamentals for students in Pre-Algebra, Algebra and even Advanced Algebra. Prime Factorization is an automatic response that must occur for Exponent Operations, Polynomial Factoring and Division, and Logarithms. The data strongly suggests students who struggle with the second semester of Advanced Algebra often have struggles with Prime Factorization or the seeing of numbers as prime factors. Here, the lesson takes prime factorization further by teaching students how to find the LCM and GCF of two or more numbers.

○ Lesson Plan

○ Cluster of Prior, Present, and Next Learning Targets

○ Common Core Standards

○ Common Core Practices

○ Materials

○ Instructions and Suggestions

○ Outcomes, Assessment , and Closure Ideas

○ Flipped Lesson Assignment - Scaffolding

○ Cornell Note Outline

○ Guided Case Study for Cooperative Learning Activity

○ Independent Practice - Differentiation (3 versions)

○ Formal Assessment (3 versions)

○Algebra Extension Assignment (3 versions)

Includes both OneNote package and Pdf Package

Perfect for demonstration Common Core Standards and Practices with a complete lesson plan which is designed to meet most of the requirements of new evaluation systems.

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Common Core Project Based Lesson: GCF and LCM

Integritas Math
31 Followers
$3.00

Highlights

Grades icon
Grades
6th - 9th
Standards icon
Standards
Pages
44
Answer Key
Included
Teaching Duration
2 days

Description

This lesson is designed to reinforce prime factorization with the goal of memorizing the factorization of numbers under 50. After tracking data for over twenty years on algebra skills, I have learned this is one of the most important fundamentals for students in Pre-Algebra, Algebra and even Advanced Algebra. Prime Factorization is an automatic response that must occur for Exponent Operations, Polynomial Factoring and Division, and Logarithms. The data strongly suggests students who struggle with the second semester of Advanced Algebra often have struggles with Prime Factorization or the seeing of numbers as prime factors. Here, the lesson takes prime factorization further by teaching students how to find the LCM and GCF of two or more numbers.

○ Lesson Plan

○ Cluster of Prior, Present, and Next Learning Targets

○ Common Core Standards

○ Common Core Practices

○ Materials

○ Instructions and Suggestions

○ Outcomes, Assessment , and Closure Ideas

○ Flipped Lesson Assignment - Scaffolding

○ Cornell Note Outline

○ Guided Case Study for Cooperative Learning Activity

○ Independent Practice - Differentiation (3 versions)

○ Formal Assessment (3 versions)

○Algebra Extension Assignment (3 versions)

Includes both OneNote package and Pdf Package

Perfect for demonstration Common Core Standards and Practices with a complete lesson plan which is designed to meet most of the requirements of new evaluation systems.

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Reviews

5.0
Rated 5 out of 5, based on 11 reviews
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Rated 5 out of 5
June 27, 2024
I use many items to create my year long curriculum and this fits my classroom perfectly.
Ashley T.
1,793 reviews
Grades taught: 6th
Rated 5 out of 5
November 24, 2019
Thank you
Rebecca H.
311 reviews
Rated 5 out of 5
July 15, 2019
Great resource
Rae C.
310 reviews
Rated 5 out of 5
September 30, 2018
great
Kathy M.
507 reviews
Rated 5 out of 5
September 20, 2017
:)
MATHISTORY
(TPT Seller)
246 reviews
Rated 5 out of 5
January 31, 2017
Great activity. I can't wait to use this during my polynomial lesson.
Christine L.
210 reviews
Integritas Math
Response from
Integritas Math
(TPT Seller)
Jun 23, 2017
Thank you for your support. I hope your polynomial lesson went well. I am constantly looking for ideas and improvements. Feel free to contact me.
Rated 5 out of 5
October 25, 2016
I love the algebra extension for my highly capable students.
Bobbi C.
72 reviews
Integritas Math
Response from
Integritas Math
(TPT Seller)
Dec 29, 2016
Thank you very much for your support. I am glad my project was valuable to your teaching. I have just added a dimensional analysis unit. It has 5 case studies; Harry Potter: The cost of Wizardry and Hogwarth Units, Marine Ecology, Personal Finance and Medicine. I have one more unit on Fraction Operations with building your own Catering business to be completed. The entire unit is designed to be introduced to 5th graders, review work as Algebra students, or to be used for Cooperative and Project Based learning through the entire 6th year. If you have any questions, please feel free to contact me. Dennis Sherrer
Rated 5 out of 5
September 21, 2016
Very helpful resource, thanks!
277 reviews
Integritas Math
Response from
Integritas Math
(TPT Seller)
Dec 29, 2016
Thank you very much for your support. I am glad my project was valuable to your teaching. I have just added a dimensional analysis unit. It has 5 case studies; Harry Potter: The cost of Wizardry and Hogwarth Units, Marine Ecology, Personal Finance and Medicine. I have one more unit on Fraction Operations with building your own Catering business to be completed. The entire unit is designed to be introduced to 5th graders, review work as Algebra students, or to be used for Cooperative and Project Based learning through the entire 6th year. If you have any questions, please feel free to contact me. Dennis Sherrer

Questions & Answers

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Standards

to see state-specific standards (only available in the US).
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).
Construct viable arguments and critique the reasoning of others. Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and-if there is a flaw in an argument-explain what it is. Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct, even though they are not generalized or made formal until later grades. Later, students learn to determine domains to which an argument applies. Students at all grades can listen or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments.
Use appropriate tools strategically. Mathematically proficient students consider the available tools when solving a mathematical problem. These tools might include pencil and paper, concrete models, a ruler, a protractor, a calculator, a spreadsheet, a computer algebra system, a statistical package, or dynamic geometry software. Proficient students are sufficiently familiar with tools appropriate for their grade or course to make sound decisions about when each of these tools might be helpful, recognizing both the insight to be gained and their limitations. For example, mathematically proficient high school students analyze graphs of functions and solutions generated using a graphing calculator. They detect possible errors by strategically using estimation and other mathematical knowledge. When making mathematical models, they know that technology can enable them to visualize the results of varying assumptions, explore consequences, and compare predictions with data. Mathematically proficient students at various grade levels are able to identify relevant external mathematical resources, such as digital content located on a website, and use them to pose or solve problems. They are able to use technological tools to explore and deepen their understanding of concepts.
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