Lesson 8

## Definition Of A Series

Patterns: Revise the number of patterns
leading to those where there is a
the constant second difference between
consecutive terms, and the general

## HTML Lesson

Full explanation on this topic and how to answer questions in an exam.

## Mechanical Energy (Lesson 7)

1. Prove (accepting results established in earlier grades):
• That a line drawn parallel to one side of a triangle divides the other two
sides proportionally (and the Midpoint Theorem as a special case of the converse of this theorem);
• That equiangular triangles are similar;
• That triangles with sides in proportion are similar; and the Pythagorean
Theorem by similar triangles

1. Revise the following including grade 10 concepts:
• The equation of a line through two given points;
• The equation of a line through one point and parallel or perpendicular to
a given line; and
• The inclination (θ) of a line, where 𝑚 = tan 𝜃 is the gradient of the line (0° ≤ 𝜃 ≤ 180°)