LESSON ONE
Topics revised during the lesson:
~ Theorem 1
~ Theorem 2
~ Theorem 3
Resources used during todays class
- The Interactive Powerpoint Presentation of the Theorems. Click HERE. Then simply click on Theorem 1, 2 or 3 where appropriate
- The Geogebra interactive construction of Theorem 1. Click HERE.(*** When finished, click the back arrow to return to the blog. Do not click exit***)
- The Geogebra interactive construction of Theorem 2. Click HERE.
- The Geogebra interactive construction of Theorem 3. Click HERE.
- The quiz which you completed is contained later on in the blog. It is linked in the link entitled 'Quiz 1'
The homework sheets which we reviewed today are contained below. Revise todays lesson by using this blog and complete the homework sheets below in your softback copy. Check the detailed solutions given within this blog
THEOREM 1
Theorem 1 proves that
"Verticially Opposite Angles Are Equal In Measure".
About Theorem 1
Theorem 1 is the shortest and most basic on the Junior Cert Higher Level Course. Although it has never actually been directly asked in the Junior Certificate, it certainly could be so please don't ignore it. It is relatively easy so do revise it properly.
Second powerpoint presentation of Theorem 1
Click HERE to view a powerpoint presentation of Theorem 1. This template must be followed whenever you are proving Theorem 1
Video clip of Theorem 1 being taught
To see a stunningly handsome teacher teach Theorem 1, CLICK BELOW. And no laughing!!!
Further presentation of Theorem 1
Click HERE to see a different view of the Theorem. Simply click the red arrow to progress the presentation.
Solutions to Homework sheet 1 based on Theorem 1
Click HERE to view the solutions to the theorem 1 questions
THEOREM 2
Theorem 2 states that
"The measure of the three angles in a triangle add up to 180"
About Theorem 2
Theorem 2 is relatively straightforward but is not as easy as first glance might indicate. Please view the resources available here and play particular attention to the section explaining 'Alternate Angles'. An understanding of these is necessary within this theorem.
Background information relevant to Theorem 2
Please click HERE to see background information relating to Alternate angles and Corresponding angles. This is important to understand Theorem 2
Revision Presentation of Theorem 2
Please click HERE to view Theorem 2 displayed in Powerpoint format. This template is to be followed whenever you are proving Theorem 2.
A practical exercise based on Theorem 2
Click here for a practical exercise based on Theorem 2. Please only do this if you have time and have utilised the remaining revision aids on the blog
Solutions to homework sheet 2 based on Theorem 2
Click here to view the solutions to the revision questions on Theorem 2. Solutions are explained thoroughly so please read carefully.
Theorem 2 being taught
Click below to view Theorem 2 being explained in a lesson.
THEOREM 3
Theorem 3 states that
"The Exterior Angle of a Triangle is Equal in Measure to the Sum of the Measures of Two Interior Opposite Angles"
About Theorem 3
Theorem 3 is very basic indeed. Very little background knowledge is required but still, it must not be overlooked when studying the Theorems section of the course.
Revision Presentation of Theorem 3
To view a Powerpoint Presentation of Theorem 3, please click here. Please follow the template shown whenever you are asked to prove theorem 3
A second presentation of Theorem 3
To view Theorem 3 presented in a different manner, click here.
Solutions to Homework Sheet 3
To view the solutions of the Homework questions, please click here. Revise these solutions carefully.
Theorem 3 being taught
To view Theorem 3 being taught, just click below
Funny maths clip 1!!!!
Here's the way maths should be done lads. Click here. Afterwards, click to go back to the blog - dont click to exit
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