General Information
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Test Item Specifications
Whole numbers less than or equal to 100. Least common multiple of two whole numbers less than or equal to 12.
No
No context
Sample Test Items (5)
Test Item # | Question | Difficulty | Type |
Sample Item 1 | What is the greatest common factor of 15 and 20? |
N/A | EE: Equation Editor |
Sample Item 2 | What is the least common multiple of 7 and 12? |
N/A | EE: Equation Editor |
Sample Item 3 | Which expression is equivalent to 8 + 20?
|
N/A | MC: Multiple Choice |
Sample Item 4 | An equation is shown. What factor is missing from the equation? |
N/A | EE: Equation Editor |
Sample Item 5 | Fill in the bubbles to match the equivalent expression.
|
N/A | MI: Matching Item |
Related Courses
Course Number1111 | Course Title222 |
1205010: | M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
1205020: | M/J Accelerated Mathematics Grade 6 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 - 2024, 2024 and beyond (current)) |
1204000: | M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
7812015: | Access M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current)) |
7912110: | Fundamental Explorations in Mathematics 1 (Specifically in versions: 2013 - 2015, 2015 - 2017 (course terminated)) |
Related Resources
Formative Assessments
Name | Description |
Using the Distributive Property | Students are asked to rewrite 36 + 42 in the form a(b + c) where a is the greatest common factor of 36 and 42. |
Least Common Multiples | Students are asked to find the least common multiple of 8 and 12 and to explain how they found their answers. |
Greatest Common Factors | Students are given two whole numbers less than or equal to 100 and asked to find the greatest common factor. |
Lesson Plans
Name | Description |
Can You Find the Relationship? | In this lesson students will first define in their own words what the greatest common factor (GCF) and least common multiple (LCM) mean. They will take this understanding and apply it to solving GCF and LCM word problems. Students will then illustrate their understanding by creating posters based on their word problems. There are examples of different types of methods, online games, a rubric, and a power point to summarize this two-day lesson. |
Can you say that another way? | Students will model how to express an addition problem using the distributive property. |
Digesting the Distributive Property | This lesson will show the student how to use the distributive property to express a sum of two whole numbers 1-100. |
You Can Never Have Too Many Shoes! | This lesson teaches Least Common Multiples. |
Finding the Greatest Crush Factor | This lesson uses a real-life approach to exploring the use of Greatest Common Factors (GCF). The students will utilize math practice standards as they analyze math solutions and explain their own solutions. |
Factoring out the Greatest | This lesson teaches students how to find the GCF and LCM by factoring. This is a different method than is normally seen in textbooks. This method easily leads to solving GCF word problems and using the distributive property to express a sum of two whole numbers. |
Prime Factorization - From Fingerprints to Factorprints | This activity provides an introduction to composite numbers and prime numbers through factorization. |
Original Student Tutorials
Name | Description |
Homework Help: Least Common Multiple Part 2 | Use the least common multiple to solve real-life problems with Brady and Natalia in this interactive tutorial. This is part 2 of 2-part series, click HERE to view part 1. |
Homework Help: Least Common Multiple Part 1 | Learn how to find the least common multiple by helping Brady and Natalia work through some homework questions in this interactive student tutorial. This is part 1 of 2-part series, click HERE to view part 2. |
Problem-Solving Tasks
Name | Description |
Adding Multiples | The purpose of this task is to gain a better understanding of factors and common factors. Students should use the distributive property to show that the sum of two numbers that have a common factor is also a multiple of the common factor. |
Bake Sale | The purpose of this task requires students to apply the concepts of factors and common factors in a context. A version of this task could be adapted into a teaching task to help motivate the need for the concept of a common factor. |
Multiples and Common Multiples | This problem uses the same numbers and asks similar mathematical questions as "The Florist Shop" file, but that task requires students to apply the concepts of multiples and common multiples in a context. |
The Florist Shop | Students are asked to solve a real-world problem involving common multiples. |
Factors and Common Factors | This problem uses the same numbers and asks essentially the same mathematical questions as "Bake Sale," but that task requires students to apply the concepts of factors and common factors in a context. |
Tutorial
Name | Description |
Least Common Multiple | This video demonstrates the prime factorization method to find the lcm (least common multiple). |
Video/Audio/Animation
Name | Description |
LCM and GCF Word Problems | Here we have a couple of word problems searching for the least common multiple and the other for the greatest common factor. |
Student Resources
Original Student Tutorials
Name | Description |
Homework Help: Least Common Multiple Part 2: | Use the least common multiple to solve real-life problems with Brady and Natalia in this interactive tutorial. This is part 2 of 2-part series, click HERE to view part 1. |
Homework Help: Least Common Multiple Part 1: | Learn how to find the least common multiple by helping Brady and Natalia work through some homework questions in this interactive student tutorial. This is part 1 of 2-part series, click HERE to view part 2. |
Problem-Solving Tasks
Name | Description |
Adding Multiples: | The purpose of this task is to gain a better understanding of factors and common factors. Students should use the distributive property to show that the sum of two numbers that have a common factor is also a multiple of the common factor. |
The Florist Shop: | Students are asked to solve a real-world problem involving common multiples. |
Tutorial
Name | Description |
Least Common Multiple: | This video demonstrates the prime factorization method to find the lcm (least common multiple). |
Parent Resources
Problem-Solving Tasks
Name | Description |
Adding Multiples: | The purpose of this task is to gain a better understanding of factors and common factors. Students should use the distributive property to show that the sum of two numbers that have a common factor is also a multiple of the common factor. |
Bake Sale: | The purpose of this task requires students to apply the concepts of factors and common factors in a context. A version of this task could be adapted into a teaching task to help motivate the need for the concept of a common factor. |
The Florist Shop: | Students are asked to solve a real-world problem involving common multiples. |