Introduction
Good morning Grade 10 today we starting a new topic which is Analytical Geometry, please listen to the video below so that you can do the task that follows:
Task
Grade 10
Task 1
Date: 17 July 2021
Topic: Analytical Geometry
Given: A(-2;0), B(4;2), C(4;-2) and D(5;-4).
Calculate the following:
1. the lengths of AB and CD.
2. the gradients of AB and AC.
3. the coordinates of the midpoints of AC and AD.
4. the equation of line CD.
5. Determine whether CD passes through point (1;4).
Process
This is another video with further information on this topic:
Textbook: https://intl.siyavula.com/read/maths/grade-11/analytical-geometry/04-analytical-geometry-01
Evaluation
| Description | Poor | Not poor | Average | Good | Excellent | Mark |
|---|---|---|---|---|---|---|
| Identify formula | /8 | |||||
| Indication of coordinates | /8 | |||||
| Substitution | /20 | |||||
| Simplified answer | /8 | |||||
| Total | /44 |
Conclusion
The purpose of this topic is to improve the learner's ability to read statements and visualize that information to solve the problem. Gradient used when calculating equation for a function, and also it can be used to prove perpendicular lines. Distance is for length between two or more points, can be used to prove if a quadrilateral is a square or parallelogram. Midpoint is for the median function.
Credits
Book: XFactor Mathematics Grade 10 by L. Fourie
YouTube: Megan Smith
Student teacher: Ndumiso Sibiya
Teacher Page
Phone number: 0608156912
Email: 218324731sibiyan@gmail.com