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Term 1
Term 2
Term 3
Term 4
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JiTT
Topics
Algebraic Manipulation
Arithmetic Problem Solving
Coordinate Geometry
Congruency
Distance, Midpoint and Circles
Expansion and Factorisation
Indices
Monomials and Polynomials
Pythagoras Theorem
Quadratic Equations
Quadratic Graphs
Similar Figures & Solids
Simultaneous Linear Equations
Statistics
Trigonometry
Circle Properties
Plane Geometry
ACE
Statistical Poster Design
Graphing Calculator Design
Plane Geometry
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Objectives
1. Prove geometrical results using line and triangle properties (including congruency and similarity)
2. Prove geometrical results using angle properties of circles
3. Understand and use
(a)
Midpoint
Theorem
(b)
Intercept Theorem
(c)
Alternate Segment Theorem
(d)
Intersecting Chords Theorem
(e)
TangentSecant Theorem
Video: Explanation of
Midpoint Theorem (1)
[URL:
http://www.youtube.com/watch?v=wslcvpXHaJA&feature=related
]
Video: Explanation of
Midpoint Theorem (2)
[URL:
http://www.youtube.com/watch?v=8vD3bPjVHw
]
Video:
Midpoint Theorem
and examples
[URL:
http://www.youtube.com/watch?v=cSZYvU_dsAw&feature=related
]
Video: Another application of
Midpoint Theorem
[URL:
http://www.youtube.com/watch?v=59wiwrcNMuo
]
Video: Example of
Alternate Segment Theorem
[URL:
http://www.youtube.com/watch?v=nwOSsjLDACQ
]
Video: Explanation of
Intercept Theorem
[URL:
http://www.youtube.com/watch?v=TIQQAfP4U0Q
]
Video: Example and Proof of
Intersecting Chords Theorem
[URL:
http://www.youtube.com/watch?v=5cUJfZaQhjQ
]
Download Solutions to Exercise 1, 2 and 3 here:
Plane Geometry Solutions to Exercises.pdf
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1. Prove geometrical results using line and triangle properties (including congruency and similarity)
2. Prove geometrical results using angle properties of circles
3. Understand and use
(a) Midpoint Theorem
(b) Intercept Theorem
(c) Alternate Segment Theorem
(d) Intersecting Chords Theorem
(e) TangentSecant Theorem
Video: Explanation of Midpoint Theorem (1)
[URL: http://www.youtube.com/watch?v=wslcvpXHaJA&feature=related]
Video: Explanation of Midpoint Theorem (2)
[URL: http://www.youtube.com/watch?v=8vD3bPjVHw]
Video: Midpoint Theorem and examples
[URL: http://www.youtube.com/watch?v=cSZYvU_dsAw&feature=related]
Video: Another application of Midpoint Theorem
[URL:http://www.youtube.com/watch?v=59wiwrcNMuo]
Video: Example of Alternate Segment Theorem
[URL: http://www.youtube.com/watch?v=nwOSsjLDACQ]
Video: Explanation of Intercept Theorem
[URL: http://www.youtube.com/watch?v=TIQQAfP4U0Q]
Video: Example and Proof of Intersecting Chords Theorem
[URL: http://www.youtube.com/watch?v=5cUJfZaQhjQ]
Download Solutions to Exercise 1, 2 and 3 here: