Level 1  Greatest Common Factors
Watch the introductory video on finding the greatest common factor of two or three numbers. The first half of the video shows two different methods for finding a greatest common factor. You can choose to use the one that works for you!
Mandatory Conversation  Copy an example problem from the video above in your math notebook. Explain your understanding of the problem to the teacher.
Mandatory Task 1 ($100)  Click the button below. Copy and correctly complete the greatest common factor worksheet in your math notebook. Show the teacher once you have finished this task!!!
Mandatory Task 2 ($100)  Click the button below. Copy and correctly complete the greatest common factor worksheet in your math notebook. The answers to the worksheet are given so you must show your work to prove the answers are correct. Show the teacher once you have finished this task!!!
Task 3 ($100)  Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "the number system  divisibility, factors, and multiples" tab on the left side of the page. Then, click on "finding the greatest common factor." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 4 ($100)  Create a video of you finding the greatest common factor of two whole numbers less than 100. The video must include commentary explaining each step throughout your work. Show the teacher once you have finished this task!!!
Exit Slip
Solve.
1. What is the GCF of 28 and 70?
2. For football tryouts at a local school, 12 coaches and 42 players will split into groups. Each group will have the same numbers of coaches and players. What is the greatest number of groups that can be formed? How many coaches and players will be in each of these groups?
3. Xiao's teacher asked him to rewrite the sum 60 + 90 and the product of the GCF of the two numbers and a sum. Xiao wrote 3(20 + 30). What mistake did Xiao make? How should he have written the sum?
1. What is the GCF of 28 and 70?
2. For football tryouts at a local school, 12 coaches and 42 players will split into groups. Each group will have the same numbers of coaches and players. What is the greatest number of groups that can be formed? How many coaches and players will be in each of these groups?
3. Xiao's teacher asked him to rewrite the sum 60 + 90 and the product of the GCF of the two numbers and a sum. Xiao wrote 3(20 + 30). What mistake did Xiao make? How should he have written the sum?
Reteach  Follow the steps provided below
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.

Reteach Task 1 ($50)  Find the greatest common factor for each set of numbers listed below.
1. 6 and 9
2. 12 and 8
3. 20 and 15
4. 6 and 16
5. 25 and 35
1. 6 and 9
2. 12 and 8
3. 20 and 15
4. 6 and 16
5. 25 and 35
Reteach Task 2 ($50)  Find the greatest common factor for each set of numbers listed below.
1. 25 and 40
2. 27 and 9
3. 30 and 60
4. 88 and 12
5. 90 and 120
1. 25 and 40
2. 27 and 9
3. 30 and 60
4. 88 and 12
5. 90 and 120
Level 2  Least Common Multiples
Watch the introductory video on finding the least common multiple of two or three numbers. The second half of the video shows two different methods for finding a least common multiple. You can choose to use the one that works for you!
enVision  Topic 3, Lesson 32, MathXL for School: Practice and Problem Solving
Mandatory Conversation  Copy an example problem from the video above in your math notebook. Explain your understanding of the problem to the teacher.
Mandatory Task 1 ($100)  Click the button below. Copy and correctly complete the least common multiple worksheet in your math notebook. Show the teacher once you have finished this task!!!
Task 2 ($100)  Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "the number system  divisibility, factors, and multiples" tab on the left side of the page. Then, click on "finding the least common multiple." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 3 ($100)  Click the button below. Copy and correctly complete the least common multiple worksheet in your math notebook. Show the teacher once you have finished this task!!!
Task 4 ($100)  Create a video of you finding the least common multiple of two whole numbers less than 12. The video must include commentary explaining each step throughout your work. Show the teacher once you have finished this task!!!
Exit Slip
Solve.
1. What is the LCM of 6 and 8?
2. During February, Kevin will water his ivy every third day, and water his cactus every fifth day. On which date will Kevin water both plants together? Will Kevin water both plants together again in February? Explain.
3. What is the least common multiple of two numbers that have no common factors greater than 1? Give an example.
4. The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Justify your answer.
1. What is the LCM of 6 and 8?
2. During February, Kevin will water his ivy every third day, and water his cactus every fifth day. On which date will Kevin water both plants together? Will Kevin water both plants together again in February? Explain.
3. What is the least common multiple of two numbers that have no common factors greater than 1? Give an example.
4. The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Justify your answer.
Reteach  Follow the steps provided below
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.

Reteach Task 1 ($50)  Find the least common multiple for each set of numbers listed below.
1. 3 and 5
2. 8 and 4
3. 1 and 7
4. 2 and 6
5. 6 and 10
1. 3 and 5
2. 8 and 4
3. 1 and 7
4. 2 and 6
5. 6 and 10
Reteach Task 2 ($50)  Find the least common multiple for each set of numbers listed below.
1. 10 and 8
2. 10 and 12
3. 6 and 8
4. 12 and 3
5. 11 and 9
1. 10 and 8
2. 10 and 12
3. 6 and 8
4. 12 and 3
5. 11 and 9
Level 3  Dividing Fractions by Fractions
Watch the introductory videos on dividing fractions by fractions.
enVision  Topic 1, Lesson 15, MathXL for School: Practice and Problem Solving
Mandatory Conversation  Copy an example problem from the video above in your math notebook. Explain your understanding of the problem to the teacher.
Mandatory Task 1 ($100)  Click the button below. Copy and correctly complete the fraction division worksheet in your math notebook. Show the teacher once you have finished this task!!!
Task 2 ($100)  Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "the number system  fractions" tab on the left side of the page. Then, click on "using the concept of multiplicative inverse to divide fractions" Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 3 ($100)  Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "the number system  fractions" tab on the left side of the page. Then, click on "dividing fractions." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 4 ($100)  Click the button below to log into Khan Academy. Search "dividing fractions" Get 5 fraction division problems correct in a row. Show the teacher once you have finished this task!!!
Task 5 ($100)  Create a video of you dividing a fraction by another fraction. The video must include commentary explaining each step throughout your work. Show the teacher once you have finished this task!!!
Exit Slip
Solve.
1. Divide. Write the quotient in simplest form. 6/5 ÷ 9/20 =
2. Use your knowledge of greatest common factors to cross simplify before you solve. 8/9 ÷ 5/12 =
3. Allyson has 1/2 cup of yogurt for making fruit parfaits. Each parfait requires 1/8 cup of yogurt. How many parfaits can she make?
4. When Kaitlyn divided a fraction by 1/2, the result was a mixed number. Was the original fraction less than or greater than 1/2? Explain your reasoning.
1. Divide. Write the quotient in simplest form. 6/5 ÷ 9/20 =
2. Use your knowledge of greatest common factors to cross simplify before you solve. 8/9 ÷ 5/12 =
3. Allyson has 1/2 cup of yogurt for making fruit parfaits. Each parfait requires 1/8 cup of yogurt. How many parfaits can she make?
4. When Kaitlyn divided a fraction by 1/2, the result was a mixed number. Was the original fraction less than or greater than 1/2? Explain your reasoning.
Reteach  Follow the steps provided below
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.

Reteach Task 1 ($50)  Answer the following questions about the division of fractions by fractions.
1. Do you actually divide fractions?
2. What word describes the second fraction being flipped upside down? You flip the 2nd fraction to its ____________?
3. What step should be taken to prior to solving that helps give you a reduced answer? Cross ____________?
1. Do you actually divide fractions?
2. What word describes the second fraction being flipped upside down? You flip the 2nd fraction to its ____________?
3. What step should be taken to prior to solving that helps give you a reduced answer? Cross ____________?
Reteach Task 2 ($50)  Correctly complete the fraction division problems below.
Bonus Level
Task 1 ($500)  Correctly complete the "Adjusting a Recipe" activity below. This will be a warmup for task 2.
Task 2 ($1000)  Complete the Fancy Fractions Catering Company Project. Your teacher received a letter from Missy MixIt that has the project details on it. Please see your teacher for further instructions.
Task 3 ($200)  Create step by step directions for using the least common multiple graphic organizer below.