Page 42 - ADVANCED MATH F.5

Form Five Form Five

The angle between two lines
Teaching steps

1. Design hands on activities to assist students to visualize and
FOR ONLINE READING ONLY
discuss their previous understanding of coordinate geometry
from their real-life experiences. Advise them to write their
work on a flip chart or manila card, display them on classroom
walls, and do a gallery walk for more inputs.
2. Create an activity that will lead students to demonstrate the
angle of intersection between two lines. Use Figure 3.1 in the
Student’s Book to assist students through discussion to derive
the formula for calculating the angle between lines.
3. Use Examples 3.1, 3.2, and 3.3 in the Student’s Book to guide
students to solve various problems involving the formula for
calculating the angle between two lines. Advise students
to use scientific calculators and GeoGebra to compare the
answers of the examples.

4. Assign students to attempt Exercise 3.1 in the Student’s Book.
Advise students to submit their work, check the correctness of
the answers, and provide them constructive feedback where
necessary.

Answers to Exercise 3.1

1. 109.4° 2. 78.7°

3. (a) 36.9 , 40.6 , 102.5° ° ° (c) 17.7 , 60.3 , 102° ° °
(b) 40.6 , 63.4 , 76° ° °
18 22
70
4. x − 3y += 5. m = , n = , 53.6 or 126.4° °
5 15
6. 47.7 , 132.3° ° 7. 17 3x + 13y = 126 68 3−
9. 5x +=5x −5x +=
y
y
5x += 1 and y 13=y 1 and x −1 and x − 5y =5y = 1313
36
Mathematics for Advanced Secondary Schools

30/06/2024 18:01:50
ADVANCED MATH F.5 TG CHAPTERS.indd 36
ADVANCED MATH F.5 TG CHAPTERS.indd 36 30/06/2024 18:01:50