International Baccalaureate · IB Diploma
Mathematics: Applications and Interpretation · SL
Papers, sampel, dan dokumen kurikulum untuk kursus ini.
Lembaran kerja, lembar latihan, dan salindia
Dokumen topik yang dibagikan mempertahankan judul kursus dan topik sumbernya. Gunakan spesifikasi dewan ujian pilihan Anda untuk cakupan, tingkatan, dan persyaratan ujian.
Lembar kerja · International Baccalaureate · IB Diploma · Mathematics: Applications and Interpretation · SL (6)
Lembar latihan · International Baccalaureate · IB Diploma · Mathematics: Applications and Interpretation · SL (16)
- 1.1 Exact arithmetic and estimation
- 1.2 Percentages, ratio and proportional reasoning
- 1.3 Sequences, series and recurrence
- 1.4 Repeated-deposit sequence models and timing
- 2.1 Domains, inverses and composition
- 2.2 Regression, financial models and residuals
- 2.3 Exponentials, logarithms and modelling
- 3.1 Angle reasoning, similarity and mensuration
- 3.2 Right triangles and non-right triangles
- 4.1 Data summaries, histograms and interpretation
- 4.2 Probability, trees and conditional reasoning
- 4.3 Binomial, normal and Poisson models
- 4.4 Hypothesis testing and contextual conclusions
- 5.1 Derivatives and stationary points
- 5.2 Root finding and numerical integration
- 6.1 Planning a mathematical exploration
Salindia presentasi · International Baccalaureate · IB Diploma · Mathematics: Applications and Interpretation · SL (6)
Salindia panduan latihan · International Baccalaureate · IB Diploma · Mathematics: Applications and Interpretation · SL (16)
- 1.1 Exact arithmetic and estimation · Walk-through
- 1.2 Percentages, ratio and proportional reasoning · Walk-through
- 1.3 Sequences, series and recurrence · Walk-through
- 1.4 Repeated-deposit sequence models and timing · Walk-through
- 2.1 Domains, inverses and composition · Walk-through
- 2.2 Regression, financial models and residuals · Walk-through
- 2.3 Exponentials, logarithms and modelling · Walk-through
- 3.1 Angle reasoning, similarity and mensuration · Walk-through
- 3.2 Right triangles and non-right triangles · Walk-through
- 4.1 Data summaries, histograms and interpretation · Walk-through
- 4.2 Probability, trees and conditional reasoning · Walk-through
- 4.3 Binomial, normal and Poisson models · Walk-through
- 4.4 Hypothesis testing and contextual conclusions · Walk-through
- 5.1 Derivatives and stationary points · Walk-through
- 5.2 Root finding and numerical integration · Walk-through
- 6.1 Planning a mathematical exploration · Walk-through
Lembar kerja · Matematika A-Level (5)
Lembar latihan · Matematika A-Level (33)
- 1.1 Kuadrat
- 1.2 Fungsi
- 1.3 Geometri koordinat
- 1.4 Ukuran sudut lingkar
- 1.5 Trigonometri
- 1.6 Siri
- 1.7 Pembahagian
- 1.8 Integrasi
- 2.1 Aljabar
- 2.2 Fungsi logaritma dan eksponen
- 2.3 Trigonometri
- 2.4 Pembahagian
- 2.5 Integrasi
- 2.6 Penyelesaian numerik persamaan
- 3.1 Aljabar
- 3.2 Fungsi logaritma dan eksponen
- 3.3 Trigonometri
- 3.4 Pembahagian
- 3.5 Integrasi
- 3.6 Penyelesaian numerik persamaan
- 3.7 Vektor
- 3.8 Persamaan diferensial
- 3.9 Bilangan kompleks
- 5.1 Representasi data
- 5.2 Permutasi dan kombinasi
- 5.3 Probabilitas
- 5.4 Variabel acak diskrit
- 5.5 Distribusi normal
- 6.1 Distribusi Poisson
- 6.2 Gabungan linear pemboleh ubah rawak
- 6.3 Variabel acak kontinu
- 6.4 Penyampelan dan anggaran
- 6.5 Ujian hipotesis
Salindia presentasi · Matematika A-Level (5)
Salindia panduan latihan · Matematika A-Level (66)
- 1.1 Kuadrat · Walk-through
- 1.1 Kuadrat · Past-paper walk-through
- 1.2 Fungsi · Walk-through
- 1.2 Fungsi · Past-paper walk-through
- 1.3 Geometri koordinat · Walk-through
- 1.3 Geometri koordinat · Past-paper walk-through
- 1.4 Ukuran sudut lingkar · Walk-through
- 1.4 Ukuran sudut lingkar · Past-paper walk-through
- 1.5 Trigonometri · Walk-through
- 1.5 Trigonometri · Past-paper walk-through
- 1.6 Siri · Walk-through
- 1.6 Siri · Past-paper walk-through
- 1.7 Pembahagian · Walk-through
- 1.7 Pembahagian · Past-paper walk-through
- 1.8 Integrasi · Walk-through
- 1.8 Integrasi · Past-paper walk-through
- 2.1 Aljabar · Walk-through
- 2.1 Aljabar · Past-paper walk-through
- 2.2 Fungsi logaritma dan eksponen · Walk-through
- 2.2 Fungsi logaritma dan eksponen · Past-paper walk-through
- 2.3 Trigonometri · Walk-through
- 2.3 Trigonometri · Past-paper walk-through
- 2.4 Pembahagian · Walk-through
- 2.4 Pembahagian · Past-paper walk-through
- 2.5 Integrasi · Walk-through
- 2.5 Integrasi · Past-paper walk-through
- 2.6 Penyelesaian numerik persamaan · Walk-through
- 2.6 Penyelesaian numerik persamaan · Past-paper walk-through
- 3.1 Aljabar · Walk-through
- 3.1 Aljabar · Past-paper walk-through
- 3.2 Fungsi logaritma dan eksponen · Walk-through
- 3.2 Fungsi logaritma dan eksponen · Past-paper walk-through
- 3.3 Trigonometri · Walk-through
- 3.3 Trigonometri · Past-paper walk-through
- 3.4 Pembahagian · Walk-through
- 3.4 Pembahagian · Past-paper walk-through
- 3.5 Integrasi · Walk-through
- 3.5 Integrasi · Past-paper walk-through
- 3.6 Penyelesaian numerik persamaan · Walk-through
- 3.6 Penyelesaian numerik persamaan · Past-paper walk-through
- 3.7 Vektor · Walk-through
- 3.7 Vektor · Past-paper walk-through
- 3.8 Persamaan diferensial · Walk-through
- 3.8 Persamaan diferensial · Past-paper walk-through
- 3.9 Bilangan kompleks · Walk-through
- 3.9 Bilangan kompleks · Past-paper walk-through
- 5.1 Representasi data · Walk-through
- 5.1 Representasi data · Past-paper walk-through
- 5.2 Permutasi dan kombinasi · Walk-through
- 5.2 Permutasi dan kombinasi · Past-paper walk-through
- 5.3 Probabilitas · Walk-through
- 5.3 Probabilitas · Past-paper walk-through
- 5.4 Variabel acak diskrit · Walk-through
- 5.4 Variabel acak diskrit · Past-paper walk-through
- 5.5 Distribusi normal · Walk-through
- 5.5 Distribusi normal · Past-paper walk-through
- 6.1 Distribusi Poisson · Walk-through
- 6.1 Distribusi Poisson · Past-paper walk-through
- 6.2 Gabungan linear pemboleh ubah rawak · Walk-through
- 6.2 Gabungan linear pemboleh ubah rawak · Past-paper walk-through
- 6.3 Variabel acak kontinu · Walk-through
- 6.3 Variabel acak kontinu · Past-paper walk-through
- 6.4 Penyampelan dan anggaran · Walk-through
- 6.4 Penyampelan dan anggaran · Past-paper walk-through
- 6.5 Ujian hipotesis · Walk-through
- 6.5 Ujian hipotesis · Past-paper walk-through
Unit kursus dan tujuan pembelajaran
Pelajaran ini mengajarkan tujuan kursus tertentu. Periksa kesenjangan cakupan yang tersisa; materi ini bukan program persiapan lengkap.
1 · Angka dan aljabar
- Exact arithmetic and estimation: A prime number that divides the integer exactly.
- Percentages, ratio and proportional reasoning: A factor that performs a percentage change in one multiplication.
- Sequences, series and recurrence: The constant multiplier between consecutive terms of a geometric sequence.
- Repeated-deposit sequence models and timing: An amount added to an account at a stated time.
- faktor prima
- Bilangan prima yang membagi bilangan bulat secara tepat.
- multiplier
- Faktor yang melakukan perubahan persentase dalam satu operasi perkalian.
- rasio tetap
- Pengali konstan antar suku berturut-turut dalam barisan geometri.
- deposito
- Sejumlah dana yang ditambahkan ke akun pada waktu tertentu.
2 · Fungsi
- Domains, inverses and composition: The set of allowed inputs to a function.
- Regression, financial models and residuals: The observed value minus the value predicted by a fitted model.
- Exponentials, logarithms and modelling: The time for a decaying quantity to fall to half its initial value.
- domain
- Himpunan input yang diizinkan untuk suatu fungsi.
- residual
- Nilai yang diamati dikurangi nilai yang diprediksi oleh model yang disesuaikan.
- waktu paruh
- Waktu yang dibutuhkan agar besaran yang meluruh turun menjadi setengah dari nilainya awal.
3 · Geometri dan trigonometri
- Angle reasoning, similarity and mensuration: The multiplier that relates corresponding lengths in similar shapes.
- Right triangles and non-right triangles: The side opposite the right angle in a right-angled triangle.
- faktor skala
- Pengali yang menghubungkan panjang yang bersesuaian pada bangun yang serupa.
- sisi miring
- Sisi di depan sudut siku-siku dalam segitiga siku-siku.
4 · Statistik dan probabilitas
- Data summaries, histograms and interpretation: Frequency divided by class width, used as histogram height.
- Probability, trees and conditional reasoning: The probability of an event after restricting the sample space to a stated condition.
- Binomial, normal and Poisson models: The probability-weighted mean of a random variable.
- Hypothesis testing and contextual conclusions: The chosen probability threshold for rejecting a null hypothesis.
- kerapatan frekuensi
- Frekuensi dibagi lebar kelas, digunakan sebagai tinggi histogram.
- probabilitas bersyarat
- Probabilitas suatu peristiwa setelah membatasi ruang sampel pada suatu kondisi yang dinyatakan.
- nilai yang diharapkan
- Rata-rata yang diboboti probabilitas dari variabel acak.
- tingkat signifikansi
- Ambang batas probabilitas yang dipilih untuk menolak hipotesis nol.
5 · Kalkulus
- Derivatives and stationary points: The instantaneous rate of change, also the gradient of a tangent.
- Root finding and numerical integration: A repeated update in which each new approximation is calculated from the previous one.
- turunan
- Laju perubahan sesaat, juga kemiringan garis singgung.
- iterasi
- Pembaruan berulang di mana setiap pendekatan baru dihitung dari pendekatan sebelumnya.
IA · Eksplorasi matematika yang diawasi sekolah
- Planning a mathematical exploration: A condition adopted to make a mathematical model possible and whose effect should be evaluated.
- asumsi
- Suatu kondisi yang diadopsi agar model matematika memungkinkan dan efeknya harus dievaluasi.
Menyiapkan diri untuk kualifikasi ini
- Current first-assessment-2021 course: AI permits technology on both papers.
- External examination contributes 80%; the school-supervised mathematical exploration contributes 20%. SL papers are 40% each; HL Papers 1/2 are 30% each and Paper 3 is 20%.
- Public briefs establish structure, not full official learning objectives. School access to the current full guide, formula booklet and calculator policy is required to certify complete parity.
- Do not apply the revised 2029 marks, paper timing or exploration criteria to current cohorts.
Cakupan pengajaran masih diperlukan
- Official question-bank boundaries, scheme alignment and all objective-level teaching coverage require the recorded review; no practice registry promotion.
- The authored diagnostic assessments are not full-length qualification mocks.
- The complete current IB guide, formula booklet, authenticated exploration criteria and full SL/HL objective codes are unavailable in the public archive.
Spesifikasi dan dokumen contoh
- Mathematics: Applications and Interpretation — Specimen papers · 2021 ↗
First assessment: 2021
- Mathematics: Applications and Interpretation — Subject brief · 2021 ↗
First assessment: 2021
- Calculator guidance (2020) ↗
- Mathematics: Applications and Interpretation — Subject brief · 2029 ↗
First assessment: 2029
Materi kursus
Persiapan kursus
Dokumen tersedia. Catatan spesifik dewan, penilaian, dan latihan soal masa lalu interaktif belum tersedia untuk setiap kursus.
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