Math 7: Unit 1, Lesson 1

Patterns in Division

Materials:  Math Makes Sense 7 Textbook pages 4-9

Duration:   1 - 2 classes (2 x 50 minute blocks)

Key Points:

• what is division?
• using Divisibility Rules.
• recognizing patterns among numbers in a set.

Introduction:

This unit helps you to develop skills that will help students to quickly find the factors of a number, organize numbers into groups based on a pattern, and with future Problem Solving.  The main focus of this section is learning Divisibility Rules.  In this lesson, students will read pages 4-9, answer some Practice Questions, work on Divisibility Rules, and submit one assignment (page 9, #6) including a Venn Diagram. 

Divisibility Rules are a set of rules that allow you to quickly determine the factors of a number. In other words, you could quickly tell if a number is divisible by 7 just by looking at it.

You already know some simple Divisiblity Rules:

• A number is Even if the LAST digit is divisible by 2 (so the last number could be 2, 4, 6, 8 or 0 - as long as the number is two digits or more). No matter how long the number is, you can tell if it is divisible by 2 simply by looking at the LAST number.
• A number is Odd if the LAST digit is NOT divisible by 2 (so the last number could be 1, 3, 5, 7 or 9). No matter how long the number is, you can tell that it is NOT divisible by 2 simply by looking at the LAST number.

Other divisiblity rules work in a similar way.

Here is a simple chart from the internet showing the Divisiblity rules for the numbers 1-10.

This chart is from: http://math6shms.pbworks.com/w/page/24273920/Divisibility%20Rules

Now watch this Youtube video for a song explaining these rules;

http://www.youtube.com/watch?v=K1N4zZndqMs&feature=related

You are now ready to cover the lesson in your Math Makes Sense 7 textbook.

Instructions:

1. Read pages 4 - 7 of your Math Makes Sense 7 textbook.
2. Do the Practice questions 1, 2 and 3 from page 8. 
   
   • These Practice questions are not for marks, they are for your practice.
   • Check your answers using page 346 of your textbook.
3. Download the Venn Diagram Template and use  it to answer Question #6 from page 9 of the textbook.
4. Submit your Venn Diagram file to the Unit 1, Lesson 1 Venn Diagram Folder.
   • If you are having troubles with this, please feel free to copy the Venn Diagram by hand and submit it on paper!!

Extra Resources:

If you are unable to access and download the Venn Diagram file from Moodle, you may use the following resources to help you create your own;

• For help with making a Venn diagram in Microsoft Word, check out this website.
• Power Point has a built in Venn Diagram in the Charts section.

Here is an example of a Venn Diagram:

Here is another example of a Venn Diagram:

Your Venn diagram should (obviously) have some Math concepts involved.

Assignment:

• Dowload the assignment sheet, print it off, put it in your Math binder and complete it.
• Save your answers on this assignment sheet and submit it to the Unit 1, Lesson 1 Assignment Folder.
  
• Download the Venn Diagram Template and use  it to answer Question #6 from page 9 of the textbook.
• Submit your Venn Diagram file to the Unit 1, Lesson 1 Venn Diagram Folder.
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