Lesson Notes By Weeks and Term v4 - SHS 1

Lesson Video

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Performance objectives

• Recall trigonometric ratios and the Pythagorean theorem.
• Apply the sine and cosine rules to solve for sides and angles in triangles.
• Use the Pythagorean theorem in real-life scenarios.
• Solve problems involving indices.

Lesson summary

Welcome, my dear students. Physics is the study of how the universe works, from the smallest particles to the largest galaxies. But to describe the world accurately, we need more than just words; we need the language of precision, which is Mathematics. In Ghana, whether we are building a house in Accra, designing a canopy walkway at Kakum, or calculating the best angle to stake a yam plant in the Volta Region, we use mathematical principles. This lesson will equip you with the fundamental mathematical tools—Pythagoras's theorem, trigonometry, and indices—that you will use throughout your study of Physics to solve real-world problems.

Lesson notes

Physics uses mathematics to model the real world. Let's master the essential tools. A. Pythagoras's Theorem

This theorem applies only to right-angled triangles. A right-angled triangle has one angle that is exactly 90°. The side opposite the right angle is the longest side, called the hypotenuse. Theorem: In a right-angled triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). Formula: `a² + b² = c²`

Evaluation guide

• Use basic mathematical concepts to solve problems - trigonometric ratios,
• Pythagoras's theorem, sine and cosine rule, indices.
• Deductive learning :
•  Learners recall relevant previous knowledge on plane geometrical figures such as triangles and