Belajar Menghitung Skala Suplemen Modul
Summary
TLDRThis video from 'The Way of Math' channel explores the concept of scale in mathematics. It explains the importance of scale in everyday life, such as enlarging or reducing maps and diagrams, and accurately measuring distances and areas. The video provides clear examples of maps, plans, and models, illustrating their use and significance. It includes a detailed explanation of how to calculate scale, using a practical problem-solving example. Overall, the video emphasizes the usefulness of understanding scale in various real-world applications.
Takeaways
- 📏 Scales are used to enlarge or reduce maps or specific images, allowing us to represent large areas on small pieces of paper.
- 🗺️ A map is a drawing or illustration on paper that shows the positions of land, sea, rivers, and mountains.
- 🏠 A floor plan (denah) is a detailed layout of a building or space, often used in architecture and design.
- 🏗️ A model (maket) is a small-scale replica of a large building or object, created to represent the original's dimensions and features.
- 📐 Scales are crucial in determining or calculating the distance between two locations on a map.
- 🌍 With scales, it's possible to calculate the area of a given region accurately.
- 🛤️ An example calculation: If the map distance is 3 cm and the actual distance is 75 km, the scale is determined to be 1:2,500,000.
- 🔢 The scale ratio represents the relationship between the dimensions on the map and the real-world dimensions.
- 📚 Understanding scales is essential for creating maps, floor plans, and models that reflect accurate proportions.
- 👍 Scales are practical tools for daily life, aiding in map-making, architectural planning, and distance calculations.
Q & A
What is the main topic discussed in the video?
-The main topic discussed is 'scale' in mathematics.
Why is learning about scale important?
-Learning about scale is important because it allows us to enlarge or reduce maps or specific images and to represent large areas on small pieces of paper. It also helps in calculating distances and areas accurately.
What is a 'denah'?
-A 'denah' is a type of plan or layout.
What is a 'peta'?
-A 'peta' is a map, which is a drawing or representation on paper showing the locations of land, sea, rivers, and mountains.
What is a 'maket'?
-A 'maket' is a model that replicates a large building or object in a smaller, miniature form.
How is scale represented in the given example of the city map of Bandung?
-The scale in the given example is 1:33300, meaning one unit on the map represents 33300 units in reality.
What does a scale of 1:2500000 mean?
-A scale of 1:2500000 means that one unit on the model or map represents 2500000 units in reality.
How is scale calculated from a model if the distance on the model is 3 cm and the real distance is 75 km?
-The scale is calculated as the ratio of the distance on the model to the real distance, converted to the same units. For 3 cm on the model and 75 km in reality, the scale is 1:2500000.
Why is it necessary to convert units when calculating scale?
-It is necessary to convert units to ensure consistency and accuracy in the calculation. For example, converting kilometers to centimeters ensures that both distances are in the same unit.
What practical applications of scale are mentioned in the video?
-Practical applications of scale mentioned include making maps, plans, and models of buildings or areas, which help in understanding and visualizing large areas or structures on a smaller scale.
Outlines
📚 Introduction to the Channel and Topic
The video begins with a greeting and introduction to the mathematics channel 'The Way of Mad.' The presenter encourages viewers to like, share, and subscribe. The topic for this session is scale, and its importance in enlarging or reducing maps and drawings, drawing large areas on small paper, and determining distances and areas.
🌍 Importance of Learning Scale
The presenter explains the practical uses of scale in daily life, such as making maps, blueprints, and models. A scale helps to accurately depict large areas on a smaller medium. Examples include city maps and the definition of a map as a drawing that shows the location of land, sea, rivers, and mountains.
🏠 Understanding Models (Maket)
The presenter describes what a model (maket) is—a small-scale representation of a larger object or building. Examples of models of buildings, housing complexes, and cities are given, showing the practical application of scale in creating these models.
🗺️ Example of Scale on a Map
An example of a city map of Bandung is shown, illustrating how a scale is represented on a map. The specific scale of 1:33,300 is explained, meaning one unit on the map equals 33,300 units in reality.
📏 Solving a Scale Problem
The presenter solves a problem involving scale: given a model distance of 3 cm and a real distance of 75 km, the scale is calculated. The solution involves converting kilometers to centimeters and simplifying the ratio to 1:2,500,000.
🙏 Conclusion and Farewell
The video concludes with a brief summary and a prayer that the explanation about scale was beneficial. The presenter ends with a farewell greeting.
Mindmap
Keywords
💡Skala
💡Peta
💡Denah
💡Maket
💡Jarak
💡Luas
💡Perbandingan
💡Satuan
💡Kota Bandung
💡Gambar
Highlights
Introduction to the channel and topic of scale in mathematics.
Explanation of the importance of learning about scale.
With scale, we can enlarge or reduce a map or specific image.
Using scale, we can draw a large area on a small piece of paper.
Scale helps determine the distance between different places.
Scale is useful for calculating distances and areas.
Examples of practical applications of scale in daily life, such as making maps, plans, and models.
Explanation of a plan and its example.
Description of a map and its example using the city of Bandung.
Explanation of a model and its examples, including buildings and urban areas.
Highlighting the presence of scale in maps, plans, and models.
Detailed example of interpreting a map with a scale.
Illustration of a specific scale calculation problem.
Step-by-step solution to the scale calculation problem.
Final explanation of the calculated scale and its simplification.
Conclusion and well wishes.
Transcripts
halo assalamualaikum warahmatullahi
wabarakatuh
hai selamat datang di channel matematika
yaitu the way of mad jangan lupa untuk
like and share dan subscribe materi yang
akan dibahas kali ini yaitu tentang
skala
hai nah kalian pasti bertanya-tanya
kenapa kita harus belajar salah buat apa
sih skala dengan skala kita dapat
memperbesar atau memperkecil sebuah peta
atau gambar tertentu dengan skala juga
kita dapat menggambar suatu tempat yang
sangat luas di atas kertas yang kecil
dan dengan skala juga kita dapat
mengetahui atau menentukan jarak suatu
tempat yang satu dengan tempat yang
lainnya untuk menghitung jarak suatu
tempat dan juga untuk menghitung luas
wilayah
[Musik]
hai jadi penggunaan skala ini sangat
berguna dalam kehidupan sehari-hari
contohnya untuk membuat peta denah
maupun market kalian tahu apa itu denah
[Musik]
coba lihat gambar yang satu ini nah ini
adalah contoh dari denah kemudian apa
itu peta
hai perhatikan peta kota bandung berikut
ini peta adalah gambar atau lukisan pada
kertas yang menunjukkan letak tanah laut
sungai dan gunung
hai selanjutnya apa itu maket maket
adalah sebuah model suatu bentuk yang
meniru dari bangunan atau objek benda
lainnya yang berukuran besar yang dibuat
dalam bentuk ukuran yang kecil atau
miniatur ini adalah contoh maket suatu
bangunan berikutnya ini adalah contoh
maket suatu perumahan kemudian ini yang
lebih besar lagi maket suatu perkotaan
biasanya di dalam denah peta maupun
market itu pasti tertera skala nah
perhatikan contoh salah satu peta
berikut ini peta ini adalah peta kota
bandung disana tertulis skala 1
berbanding
hai apa artinya sih
oh ya artinya adalah satu ukuran pada
gambar mewakili 33300 syukuran
sebenarnya jadi sekarang merupakan
perbandingan antara ukuran pada gambar
dengan ukuran sebenarnya coba perhatikan
contoh persoalan berikut ini jika
diketahui jarak pada market yaitu 3 cm
dan jarak sebenarnya yaitu 75 km
tentukan skalanya nah inilah jawabannya
kala itu adalah perbandingan antara
jarak pada market berbanding jarak
sebenarnya gading 3 berbanding 75 dikali
100 ribu kenapa harus kita lihat rp100
karena satu km = rp100 cm satuannya itu
harus sama kemudian dituliskan
jadi 3 berbanding 7500000 setelah itu
kita sederhanakan jadi 1 berbanding
2500000 jadi kalah pada make tersebut
adalah 1 berbanding 2500000
[Musik]
alhamdulillah itulah sedikit penjelasan
tentang skala semoga bermanfaat dan
semoga kita semua selalu berbahagia
assalamualaikum warahmatullahi
wabarakatuh
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