Variations & Partial Fractions

What this lesson covers

Variations & Partial Fractions is a 11-part Class 10 Mathematics lesson. Each part makes one point and then hands over to the next, so it can be read in a sitting or picked up again at the part you stopped on. It defines the idea in plain words before using it, works through an example step by step, breaks the topic into its parts and compares them, shows where it is used outside the textbook, names the mistakes that cost marks in an exam, ends with a recap of what to remember.

How it begins

Direct variation: one quantity is a constant multiple of another. y ∝ x → y = kxInverse variation: one is a constant divided by the other. y ∝ 1/x → y = k/xJoint variation: depends on two or more quantities. y ∝ xz → y = kxzThe constant k is found from one known pair of values, and then applies to every other pair.

The 11 parts

1. Types of variation
2. Variation with a power
3. The method for variation problems
4. A worked variation problem
5. What partial fractions do
6. The forms to use
7. Splitting a fraction
8. Where these appear
9. Where marks are lost
10. What to remember
11. Watch one worked through