Embedded Files
Introduction
Introduction
Watch the video for an introduction to the lesson.
Activity 1 - Creating a factor tower city
Activity 1 - Creating a factor tower city
Task 1
Task 1
Watch the video, Math Antics - Factoring to learn about the factors of numbers and the most efficient way to find them.
Math Antics - Factoring
Duration: 6:17
Task 2
Task 2
Look at the image of the factor tower city.
Each tower lists all the factors of its number in separate blocks.
The factor tower shows that 5 has two factors, 1 and 5, and 6 has four factors, 1, 2, 3, and 6.
Use the interactive graph below to create a factor tower city for all the numbers up to 25.
Use your completed graph to answer the following questions in your exercise book or folder:
List all the numbers up to 25 with two factors only.
Make lists of numbers that have only three factors, four factors, and so on.
Describe the types of numbers or any patterns you see in each list.
Describe any other patterns that you notice.
Image of a factor tower city
Activity 2 - Prime factorisation
Activity 2 - Prime factorisation
Task 1
Task 1
Watch the video, Math Prime Factorization to learn how to write numbers as a multiplication of prime numbers.
Math Antics - Prime Factorization
Duration: 6:39
Task 2
Task 2
Click on the image to open the Factor Trees page on Transum.org in a new tab.
Use information from the video in Task 1 to help you complete the questions.
Activity 3 - Calculating HCF and LCM
Activity 3 - Calculating HCF and LCM
Task 1
Task 1
Watch the video to learn how to calculate highest common factors (HCF) and lowest common multiples (LCM).
Task 2
Task 2
Click on the image to open the Factor Trees page on the Maths Playground website in a new tab.
Then click on the option, Find the prime factorization of 2 numbers. GCF and LCM
Test your knowledge by completing the questions.
Activities too easy?
Activities too easy?
Task 1
Task 1
Can you complete the product puzzles?
Task 2
Task 2
Use the HCF, LCM larger integers Geogebra app to practise finding the HCF and LCM of large numbers.
Task 3 - Investigating HCF and LCM
Task 3 - Investigating HCF and LCM
Complete the following in your exercise book or folder:
Find 3 pairs of numbers which have a highest common factor of 6.
Find 3 pairs of numbers which have a lowest common multiple of 30.
Find 3 pairs of numbers which have no common factors other than 1, but are not prime numbers.
Find 3 different pairs of numbers that have the same highest common factor and the same lowest common multiple.
Handing in your work
Handing in your work
Don't forget to hand in the work you completed today!
Your teacher will have told you to do one of the following:
Upload any digital documents you created and any photos you took of your written work to your Learning Management system (MS Teams, Google Classroom for example).
Email any digital documents you created and any photos you took of your written work to your teacher.
Make sure you keep any hand written work you did in your exercise book or folder as your teacher may need to see these when you are back in class.
Student reflection
Student reflection
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