IBDP MAA SL Padlet 2025 by Musa Ibraahim Sim

What is a function?

musasim — 2023-09-06 06:38:26 UTC

What is a 1 to 1 function?

musasim — 2023-09-06 06:38:46 UTC

Composite Function

musasim — 2023-09-06 06:39:43 UTC

Domain and Range of Functions

musasim — 2023-09-06 06:40:01 UTC

Log Rules

musasim — 2023-09-06 06:40:51 UTC

Exponential Rules

musasim — 2023-09-06 06:41:09 UTC

Compound Interest Formula

musasim — 2023-09-06 06:42:15 UTC

Simple Interest Formula

musasim — 2023-09-06 06:42:50 UTC

Binomial Expansion

musasim — 2023-09-06 06:43:43 UTC

Only focus on the part where the power is a positive integers. You can skip the parts where the powers are negatives or fractional.

Pascal's Triangle

musasim — 2023-09-06 06:45:17 UTC

n C r Formula

musasim — 2023-09-06 06:45:45 UTC

n! Formula

musasim — 2023-09-06 06:46:34 UTC

Solving Exponential Equations

musasim — 2023-09-06 06:47:51 UTC

AP Formula

musasim — 2023-09-06 06:48:27 UTC

GP Formula

musasim — 2023-09-06 06:48:49 UTC

For sum of infinite GP, it can only happen when -1 < r < 1. This means the series is converging (it sums to a finite value).

For r > 1 or r < -1, this means is series is diverging (it will not sum to a finite value). Hence, you cannot use sum to infinity formula for it.

Proof by Deduction

musasim — 2023-09-06 06:50:07 UTC

Sigma Notation (Sum)

musasim — 2023-09-06 06:51:16 UTC

Operation with Standard Form (Multiply and Divide)

musasim — 2023-09-06 06:53:01 UTC

Operations with Standard Form (Add and Subtract)

musasim — 2023-09-06 06:53:27 UTC

Algebra and Numbers Coverage

musasim — 2023-09-06 07:57:19 UTC

Functions Coverage

musasim — 2023-09-06 07:59:53 UTC

Binomial Expansion Formula

musasim — 2023-09-06 08:01:35 UTC

Happy teachers day Mr.Musa!

anandita00sinha — 2023-09-08 04:46:09 UTC

I've not been in the class for very long but you are a great teacher! I understand everything very clearly with how you explain and your classes are very fun too. Thank you for teaching me:)

Anandita

Happy Teachers Day!

srisamvrutasridhar — 2023-09-13 00:20:18 UTC

I'm so excited to be able to continue this journey with you and would like to thank you for all your guidance both in math and in life!
Wishing you a very happy teachers day!!
Samvruta

Completing of Square

musasim — 2023-09-21 02:11:00 UTC

We use the vertex form of a quadratic to:

1) Find max/min coordinate (vertex)
2) Find the equation of the line of symmetry (x = a)
3) Solve for x (finding roots)
4) To find the inverse of a quadratic function (Need to choose +/- version)

Inverse of a Quadratic Function

musasim — 2023-09-21 02:12:53 UTC

Quadratic inequality (1)

musasim — 2023-09-27 06:37:33 UTC

Identity function

musasim — 2023-09-27 06:39:28 UTC

Why f⁻¹f(x) = x and f f⁻¹(x) = x

Clue: It forms the line y = x...

Discriminant of quadratic functions

musasim — 2023-09-27 06:40:07 UTC

Quadratic inequality (2)

musasim — 2023-09-27 06:44:15 UTC

Discriminant Notes

musasim — 2023-09-28 05:38:16 UTC

Reciprocal function

musasim — 2023-09-29 03:44:06 UTC

Rational function

musasim — 2023-09-29 03:44:46 UTC

Exponential Function

musasim — 2023-10-04 00:19:23 UTC

Domain: x belongs to all real values
Range: y > 0
Asymptote: x-axis or y = 0

Logarithmic Function

musasim — 2023-10-04 00:20:22 UTC

Domain: x > 0
Range: y belongs to all real values
Asymptote: y-axis or x = 0

It is an inverse of an exponential function

Functions Transformation Chart

musasim — 2023-10-05 01:23:25 UTC

Right-Angle Trigonometry

musasim — 2023-12-11 06:21:04 UTC

Special Triangles

musasim — 2023-12-11 06:22:24 UTC

Exact Trigonometric Ratio from Special Triangles

musasim — 2023-12-11 06:23:07 UTC

Triangle in unit circle

musasim — 2023-12-11 06:23:55 UTC

Trigonometric Identities (from unit circle)

musasim — 2023-12-11 06:24:42 UTC

Reciprocal Trigonometric Identities

musasim — 2023-12-11 06:25:40 UTC

Graph of sin x, cos x and tan x

musasim — 2023-12-11 06:27:59 UTC

Radian Mode

musasim — 2023-12-11 06:28:38 UTC

ASTC Diagram

musasim — 2023-12-11 06:29:31 UTC

More identities

musasim — 2023-12-11 06:30:20 UTC

Double Angle Formula

musasim — 2023-12-11 06:32:40 UTC

Common Conversion of Radian to Degree

musasim — 2023-12-11 06:34:09 UTC

Sine Rule

musasim — 2023-12-11 06:35:12 UTC

Cosine Rule

musasim — 2023-12-11 06:35:22 UTC

Area of any triangle (0.5absinC)

musasim — 2023-12-11 06:36:15 UTC

Area and arc length of sector

musasim — 2023-12-11 06:37:17 UTC

Volume and Surface Area of 3D objects

musasim — 2023-12-11 06:39:08 UTC

Solving Trigonometric Equations

musasim — 2023-12-11 06:40:34 UTC

Transformation Phase Shift

musasim — 2023-12-20 02:00:52 UTC

Transformation Translation

musasim — 2023-12-20 02:01:42 UTC

Transformation Stretches

musasim — 2023-12-20 02:02:19 UTC

Transformation Reflection

musasim — 2023-12-20 02:03:58 UTC

Sine Rule in ambiguous case

musasim — 2024-01-19 02:26:57 UTC

Given an angle and 2 sides, find the other angle in a triangle. However, the angle can be ambiguous at times.

Midpoint and Distance formula in 3D Space

musasim — 2024-02-13 06:48:33 UTC

Angle in a 3D plane

musasim — 2024-02-13 07:30:42 UTC

What is rate of change?

musasim — 2024-03-18 06:56:12 UTC

Differentiation using first principles

musasim — 2024-03-18 06:56:40 UTC

Differentiation of x^n

musasim — 2024-03-18 06:59:25 UTC

Increasing and decreasing function

musasim — 2024-03-18 06:59:52 UTC

Differentiation using Chain Rule

musasim — 2024-03-18 07:00:36 UTC

Differentiation using product rule

musasim — 2024-03-18 07:01:18 UTC

Differentiation using quotient rule

musasim — 2024-03-18 07:02:16 UTC

Finding equation of normal and tangent using differentiation

musasim — 2024-03-18 07:03:05 UTC

Trigonometric Differentiation

musa11 — 2024-03-21 02:14:16 UTC

Exponential and Logarithmic Differentiation

musa11 — 2024-03-21 02:21:38 UTC