Further Mathematics - Senior Secondary 1 - Coordinate Geometry (The Straight Line III)

TERM: 1^ST TERM

WEEK 7

Class: Senior Secondary School 1
Age: 15 years
Duration: 40 minutes of 4 periods
Subject: Further Mathematics
Topic: Coordinate Geometry (The Straight Line III)
Focus:
i. Transforming non-linear relationships into linear forms
ii. Areas of triangles and quadrilaterals using coordinates

SPECIFIC OBJECTIVES:

By the end of the lesson, students should be able to:

1. Recognize non-linear relationships in coordinate geometry.
2. Transform non-linear equations into linear form using algebraic techniques.
3. Apply coordinate geometry formulas to determine the area of triangles.
4. Apply coordinate geometry formulas to determine the area of quadrilaterals.

INSTRUCTIONAL TECHNIQUES:

• Interactive questioning
  • Guided transformation steps
  • Geometric demonstration
  • Problem-solving in pairs
  • Real-life application connections

INSTRUCTIONAL MATERIALS:

• Graph sheets
• Coordinate plane chart
• Worked examples on flashcards

ASSIGNMENT (5 tasks):

1. Find area of triangle (0,0), (6,0), (3,4).
2. Find area of quadrilateral (1,1), (5,1), (4,4), (2,3).
3. Research and write the shoelace formula.
4. Create a quadrilateral on graph sheet and find area.
5. Write a short note on how coordinates help in geometry.