From dc88212c7fbbab7f017d444954413d0abbfdc4b0 Mon Sep 17 00:00:00 2001 From: altaf-creator Date: Tue, 29 Aug 2023 21:29:44 +0700 Subject: New thumbnails, fixed school about page, new math lesson, and stuff --- lessons/fisika/static-electricity/coulomb.html | 4 +- lessons/index.html | 236 +++++++++++------------ lessons/matematika/index.html | 10 +- lessons/matematika/pangkat-akar/akar.html | 42 ++-- lessons/matematika/pangkat-akar/latihan.html | 58 +++--- lessons/matematika/pangkat-akar/pangkat.html | 8 +- lessons/matematika/quadratic-equation/index.html | 222 ++++++++++++++++++++- 7 files changed, 388 insertions(+), 192 deletions(-) (limited to 'lessons') diff --git a/lessons/fisika/static-electricity/coulomb.html b/lessons/fisika/static-electricity/coulomb.html index 65864b8..8292073 100644 --- a/lessons/fisika/static-electricity/coulomb.html +++ b/lessons/fisika/static-electricity/coulomb.html @@ -76,9 +76,9 @@

Unit Conversions (for Coulomb)

n mC (milliCoulomb) = n * 10^-3 C
n MC (MicroCoulomb) = n * 10^-6 C
n MC (MicroCoulomb) = n * 10^-6 C (Alternative form: μC)
n nC (nanoCoulomb) = n * 10^-9 C
n Å (Ångström) = n * 10¹⁰ C
n Å (Ångström) = n * 10^-10 C

Example

diff --git a/lessons/index.html b/lessons/index.html index 76d0727..a2f6dd4 100644 --- a/lessons/index.html +++ b/lessons/index.html @@ -54,131 +54,117 @@

- -

- -

Matematika

- -

Hidayatullah, S.Pd.

-

-

- -

- -

Fisika

- -

Ayu Rezky Yulita, M.Pd.

-

-

- -

- -

Biologi

- -

Ir. Hj. Wiwit Parminta

-

-

- -

- -

IPS

- -

Unaeni Jahroh S.Pd.

-

-

- -

- -

Agama

- -

Akrom Hasani, S.Ag.

-

-

- -

- -

Al-Qur'an

- -

Muhammad Fathan S.Ag

-

-

- -

- -

Bahasa Arab

- -

Mohammad Amar, Lc.

-

-

- -

- -

PPKn

- -

Andini Nurlaily Hikmah, S.Pd.

-

-

- -

- -

Informatika

- -

Nurbaeti, SE., M.Ak

-

-

- -

- -

English

- -

Sofia Nurbaiti, S.Pd.

-

-

- -

- -

Bahasa Indonesia

- -

Maman Sulaeman, S.Pd.

-

-

- -

- -

Seni Musik

- -

Dra. Kusnun Indrawati

-

-

- -

- -

Seni Rupa

- -

Miftah Izharul Haq, S.Pd

-

-

- -

- -

Penjasorkes

- -

Supatri, S.Pd

-

+ +

Matematika

+ +

Hidayatullah, S.Pd.

+

+

+ +

Fisika

+ +

Ayu Rezky Yulita, M.Pd.

+

+

+ +

Biologi

+ +

Ir. Hj. Wiwit Parminta

+

+

+ +

IPS

+ +

Unaeni Jahroh S.Pd.

+

+

+ +

Agama

+ +

Akrom Hasani, S.Ag.

+

+

+ +

Al-Qur'an

+ +

Muhammad Fathan S.Ag

+

+

+ +

Bahasa Arab

+ +

Mohammad Amar, Lc.

+

+

+ +

PPKn

+ +

Andini Nurlaily Hikmah, S.Pd.

+

+

+ +

Informatika

+ +

Nurbaeti, SE., M.Ak

+

+

+ +

English

+ +

Sofia Nurbaiti, S.Pd.

+

+

+ +

Bahasa Indonesia

+ +

Maman Sulaeman, S.Pd.

+

+

+ +

Seni Musik

+ +

Dra. Kusnun Indrawati

+

+

+ +

Seni Rupa

+ +

Miftah Izharul Haq, S.Pd

+

+

+ +

Penjasorkes

+ +

Supatri, S.Pd

+

diff --git a/lessons/matematika/index.html b/lessons/matematika/index.html index 34889b2..64c2cc2 100644 --- a/lessons/matematika/index.html +++ b/lessons/matematika/index.html @@ -53,10 +53,12 @@

Chapter 1 - Bentuk Pangkat dan Akar

-

Lesson 1: Exponent

-

-

-

Lesson 3: Exponents Extended - Scientific Form of Decimals

+

Lesson 1: Exponent

+

+

+

Lesson 3: Exponents Extended - Scientific Form of Decimals

+

Chapter 2 - Quadratic Equation

+

Main Lesson: Quadratic Equation - The Introduction

diff --git a/lessons/matematika/pangkat-akar/akar.html b/lessons/matematika/pangkat-akar/akar.html index 35ed018..4665ae0 100644 --- a/lessons/matematika/pangkat-akar/akar.html +++ b/lessons/matematika/pangkat-akar/akar.html @@ -61,57 +61,57 @@

Definition

Root is the inverse of exponent. For example;

4² = 16, so 16 = 4
5² = 25, so 25 = 5
10² = 100, so 100 = 10
4² = 16, so 16 = 4
5² = 25, so 25 = 5
10² = 100, so 100 = 10

Simplifying Square Roots

You can simplify a root by factoring the root number another number that is rational. Or in other words, divide the root number by the perfect squares. For example;

- Simplify 60
- 60 = 4 × 15 = 215
+ Simplify 60
+ 60 = 4 × 15 = 215
- Simplify 48
- 48 = 16 × 3 = 43
+ Simplify 48
+ 48 = 16 × 3 = 43
- Simplify 125
- 125 = 25 × 5 = 55
+ Simplify 125
+ 125 = 25 × 5 = 55

Root Operations

Addition

Roots with coefficient can be added with another coefficient that have the same roots.
- ac + bc = (a + b)c + ac + bc = (a + b)c

32 + 42 = (3 + 4)2 = 72
5 + 35 = (1 + 3)5 = 45
32 + 42 = (3 + 4)2 = 72
5 + 35 = (1 + 3)5 = 45

Subtraction

Roots with coefficient can be subtracted with another coefficient that have the same roots.
- ac - bc = (a - b)c + ac - bc = (a - b)c

73 - 43 = (7 - 4)3 = 32
106 - 56 = (10 - 5)6 = 56
73 - 43 = (7 - 4)3 = 32
106 - 56 = (10 - 5)6 = 56

Multiplication

Roots can be multiplied with any other roots. If the root is the same as the other multiplied root, the root can be deleted (if you want to be faster).
- ac × bd = (a × b)c × d + ac × bd = (a × b)c × d

2 × 5 = 10
32 × 43 = (3 × 4)2 × 3 = 126
25 × 35 = (2 × 3)(5) = 6(5) = 30
2 × 5 = 10
32 × 43 = (3 × 4)2 × 3 = 126
25 × 35 = (2 × 3)(5) = 6(5) = 30

Division

Roots can be divided with any other roots.
- ac ÷ bd = (a ÷ b)c ÷ d + ac ÷ bd = (a ÷ b)c ÷ d

- 86 ÷ 43 = (8 ÷ 4)6 ÷ 3 = 22 + 86 ÷ 43 = (8 ÷ 4)6 ÷ 3 = 22

diff --git a/lessons/matematika/pangkat-akar/latihan.html b/lessons/matematika/pangkat-akar/latihan.html index a019254..701a456 100644 --- a/lessons/matematika/pangkat-akar/latihan.html +++ b/lessons/matematika/pangkat-akar/latihan.html @@ -63,13 +63,13 @@

Pangkat

8p²q × 2pq³

64^¹⁄₂ + 81^¹⁄₃

-

25 + 320 - 45

+

25 + 320 - 45

Merasionalkan Akar

-

⁴⁄₅

-

³⁵⁄₂₃

-

⁵⁄_{3 - 2}

-

^{5 - 7}⁄_{5 - 2}

+

⁴⁄₅

+

³⁵⁄₂₃

+

⁵⁄_{3 - 2}

+

^{5 - 7}⁄_{5 - 2}

Operasi Pangkat

(8p²3)³ ÷ 2pq

@@ -84,40 +84,40 @@

16p³q⁴

64^¹⁄₂ + 81^¹⁄₃
- = 64 + ³81
- = 8 + ³81 + = 64 + ³81
+ = 8 + ³81

- 25 + 320 - 45
- = 65 + 320
- = 65 + 34 × 5
- = 65 + 32² × 5
- = 65 + 3 × 25
- = 65 + 65
- = 125
+ 25 + 320 - 45
+ = 65 + 320
+ = 65 + 34 × 5
+ = 65 + 32² × 5
+ = 65 + 3 × 25
+ = 65 + 65
+ = 125

- ⁴⁄₅
- = ⁴⁄₅ × ⁵⁄₅ = ⁴⁵⁄₅ + ⁴⁄₅
+ = ⁴⁄₅ × ⁵⁄₅ = ⁴⁵⁄₅

- ³⁵⁄₂₃
- = ³⁵⁄₂₃ × ³⁄₃
- = ³¹⁵⁄_{2 × 3}
- = ¹⁵⁄₂ + ³⁵⁄₂₃
+ = ³⁵⁄₂₃ × ³⁄₃
+ = ³¹⁵⁄_{2 × 3}
+ = ¹⁵⁄₂

- ⁵⁄_{3 - 2}
- = ⁵⁄_{3 - 2} × ^{3 + 2}⁄_{3 + 2}
- = ^{5(3 + 2)}⁄_{(3)² - (2)²}
- = ^{5(3 + 2)}⁄_{3 - 2} = ^{5(3 + 2)}⁄₁
- = 5(3 + 2) + ⁵⁄_{3 - 2}
+ = ⁵⁄_{3 - 2} × ^{3 + 2}⁄_{3 + 2}
+ = ^{5(3 + 2)}⁄_{(3)² - (2)²}
+ = ^{5(3 + 2)}⁄_{3 - 2} = ^{5(3 + 2)}⁄₁
+ = 5(3 + 2)

- ^{5 - 7}⁄_{5 - 2}
- = ^{5 - 7}⁄_{5 - 2} × ^{5 + 2}⁄_{5 + 2}
- = ^{(5 - 7) × (5 + 2)}⁄_{(5)² - (2)²}
- = ^{5 + 10 - 35 - 14}⁄_{5 - 2} = ^{5 + 10 - 35 - 14}⁄₃ + ^{5 - 7}⁄_{5 - 2}
+ = ^{5 - 7}⁄_{5 - 2} × ^{5 + 2}⁄_{5 + 2}
+ = ^{(5 - 7) × (5 + 2)}⁄_{(5)² - (2)²}
+ = ^{5 + 10 - 35 - 14}⁄_{5 - 2} = ^{5 + 10 - 35 - 14}⁄₃

(8p²3)³ ÷ 2pq
diff --git a/lessons/matematika/pangkat-akar/pangkat.html b/lessons/matematika/pangkat-akar/pangkat.html index 4061c82..7c7ccce 100644 --- a/lessons/matematika/pangkat-akar/pangkat.html +++ b/lessons/matematika/pangkat-akar/pangkat.html @@ -103,15 +103,15 @@

Fractional Exponent

x ^{^y⁄_z} = - ^zx^y

+ ^zx^y

Examples

5 ^¹⁄₂ = - ²5

²

5

7 ^²⁄₃ = - ³7²

³

7²

-

Small Note: 2x or x menans square root. The 2 before root should be removed. The 2 is only present for easier purposes.
3x means cubic root.

+

Small Note: 2x or x menans square root. The 2 before root should be removed. The 2 is only present for easier purposes.
3x means cubic root.

Exponential Equation

- +

-

Root

-

Chapter 1

+

Quadratic Equation: The Introduction

+

Chapter 2

-

❓ Unchecked by Professionals

+

❓ Unchecked by Professionals

- +

Introduction

+ In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x + represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0.^[1] +

Formula / Format

+ ax² + bx + c = 0 +

+ a, b, c = known numbers, where a ≠ 0
+ x = the unknown, or the root +

+

Exercises

+

Finding the roots with factorisation.

+

+ +
+
+ To find the answer, we need to find the factors of b and c.
+ The suitable factor for the equation are 2 and -3.
+ Then, insert each numbers to this formula: , where y is the factor.

+

+
+ So, the answer is +
+ +
+
+
+ Factors: 2, 4
+
+
+
+
+
+
+ +

+

Relation between Quadratic Equation and Algebraic Expressions

+

This is an algebraic expression → . You can turn that into a quadratic equation.

+ + +

Quadratic Equation's Root Operations

+

Finding Quadratic Equation with Roots

+

You can use the formula below to find a Quadratic Equation with 2 roots.

+ , where x_{1, 2} are the roots.
+

+ Example:

+ +

+ +

Quadratic Root's Mathematical Operations

+

Formulas

+

+

+

Examples

+

+
Diketahui persamaan kuadrat , memiliki akar-akar persamaan kuadrat x₁ dan x₂. Jika x₁ < x₂, maka tentukan: +
1. x₁ + x₂
2. x₁ × x₂
+
+
+
+

+ +

References

+

Quadratic Equation - The English Wikipedia, https://en.wikipedia.org/wiki/Quadratic_equation