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(Lecture: 4 Hours, Tutorial: 6 Hours)
Brief Overview
Brief Overview
There are 3 subtopics in this chapter:
CIrcles
Ellipses
Parabolas
Firstly, you will learn about circles. There are 2 ways to write the equation of circle: standard and general form. This subtopic can be quite long as there are many formula and skills that you need to learn and use when solving questions involving circles. Be patient and write down all the formulas that you learn in 1 page.
Then, you will learn about ellipses. There are 2 types of ellipses: horizontal and vertical ellipses. The difference between them is depending on the major axis of the ellipse. If the y-axis is the major axis, then it is a vertical ellipse and vice versa.
Circles
Circles
Circle Equation (Example 1)
Circle Equation (Example 1)
Circle Equation (Example 2)
Circle Equation (Example 2)
Points of Intersection
Points of Intersection
How to find the points of intersection between two circles
How to find the points of intersection between line and circle
Using discriminant to check whether intersect at 2 points, 1 point or 0 point
Equation of Tangent and Normal
Equation of Tangent and Normal
How to find the equation of tangent and normal to the circle when the point lies on the circle
Length of a Tangent
Length of a Tangent
How to find the length of a tangent line from a point using the Pythagoras Theorem
Completing the Square
Completing the Square
For some students that still have some problem to do completing the square, hopefully this video will be helpful!
Activity (Escape Room)
Activity (Escape Room)
A MAD MATHEMATICIAN TRAPPED YOUR WHOLE CLASS IN THE CLASSROOM. IN ORDER TO ESCAPE, YOU MUST USE YOUR KNOWLEDGE OF CIRCLES TO CONVINCE HIM TO LET YOU GO. ANSWER THE QUESTIONS AT EACH LEVEL AND BE SURE TO RECORD EACH ANSWER. ONCE ALL THE LEVELS ARE COMPLETE, RETRIEVE THE COMPLETION CODE TO BREAK OUT AND SAVE THE DAY. YOU MUST HURRY AND ESCAPE BEFORE YOU REMAIN TRAPPED FOREVER!
A MAD MATHEMATICIAN TRAPPED YOUR WHOLE CLASS IN THE CLASSROOM. IN ORDER TO ESCAPE, YOU MUST USE YOUR KNOWLEDGE OF CIRCLES TO CONVINCE HIM TO LET YOU GO. ANSWER THE QUESTIONS AT EACH LEVEL AND BE SURE TO RECORD EACH ANSWER. ONCE ALL THE LEVELS ARE COMPLETE, RETRIEVE THE COMPLETION CODE TO BREAK OUT AND SAVE THE DAY. YOU MUST HURRY AND ESCAPE BEFORE YOU REMAIN TRAPPED FOREVER!
Ellipses
Ellipses
Notes ellipse.pdfNotes
Notes
bingo (ellipse).pdfActivity (Bingo)
Activity (Bingo)
Answer all questions. Then, do a 5x5 table, write 1 to 25 in each box (random order). We will play the bingo together in next class.
Parabolas
Parabolas
Parabola.pdfNotes
Notes
Activity
Activity
Maths Connect
Maths Connect
MC Week 6 (conics).pdfWeek 6
Week 6
Conics
Class test
Class test
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