International Baccalaureate · IB Diploma
Mathematics: Analysis and Approaches · 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: Analysis and Approaches · SL (6)
Lembar latihan · International Baccalaureate · IB Diploma · Mathematics: Analysis and Approaches · SL (15)
- 1.1 Exact arithmetic and estimation
- 1.2 Indices, surds and standard form
- 1.3 Sequences, series and recurrence
- 1.4 Percentages, ratio and proportional reasoning
- 2.1 Domains, inverses and composition
- 2.2 Exponentials, logarithms and modelling
- 3.1 Angle reasoning, similarity and mensuration
- 3.2 Right triangles and non-right triangles
- 3.3 Radians, identities and trigonometric equations
- 4.1 Data summaries, histograms and interpretation
- 4.2 Probability, trees and conditional reasoning
- 4.3 Binomial, normal and Poisson models
- 5.1 Derivatives and stationary points
- 5.2 Integrals, area and accumulation
- 6.1 Planning a mathematical exploration
Salindia presentasi · International Baccalaureate · IB Diploma · Mathematics: Analysis and Approaches · SL (6)
Salindia panduan latihan · International Baccalaureate · IB Diploma · Mathematics: Analysis and Approaches · SL (15)
- 1.1 Exact arithmetic and estimation · Walk-through
- 1.2 Indices, surds and standard form · Walk-through
- 1.3 Sequences, series and recurrence · Walk-through
- 1.4 Percentages, ratio and proportional reasoning · Walk-through
- 2.1 Domains, inverses and composition · Walk-through
- 2.2 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
- 3.3 Radians, identities and trigonometric equations · 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
- 5.1 Derivatives and stationary points · Walk-through
- 5.2 Integrals, area and accumulation · 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.
- Indices, surds and standard form: The power to which a base is raised.
- Sequences, series and recurrence: The constant multiplier between consecutive terms of a geometric sequence.
- Percentages, ratio and proportional reasoning: A factor that performs a percentage change in one multiplication.
- faktor prima
- Bilangan prima yang membagi bilangan bulat secara tepat.
- indeks
- Pangkat yang digunakan sebagai eksponen bagi suatu basis.
- rasio tetap
- Pengali konstan antar suku berturut-turut dalam barisan geometri.
- multiplier
- Faktor yang melakukan perubahan persentase dalam satu operasi perkalian.
2 · Fungsi
- Domains, inverses and composition: The set of allowed inputs to a function.
- 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.
- 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.
- Radians, identities and trigonometric equations: The angle subtended by an arc whose length equals the radius.
- faktor skala
- Pengali yang menghubungkan panjang yang bersesuaian pada bangun yang serupa.
- sisi miring
- Sisi di depan sudut siku-siku dalam segitiga siku-siku.
- radian
- Sudut yang diapit oleh busur yang panjangnya sama dengan jari-jari.
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.
- 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.
5 · Kalkulus
- Derivatives and stationary points: The instantaneous rate of change, also the gradient of a tangent.
- Integrals, area and accumulation: A function whose derivative equals the given integrand.
- turunan
- Laju perubahan sesaat, juga kemiringan garis singgung.
- antiturunan
- Fungsi yang turunannya sama dengan integran yang diberikan.
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: AA Paper 1 prohibits technology; Paper 2 allows it.
- 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: Analysis and Approaches — Specimen papers · 2021 ↗
First assessment: 2021
- Mathematics: Analysis and Approaches — Subject brief · 2029 ↗
First assessment: 2029
- Calculator guidance (2020) ↗
- Mathematics: Analysis and Approaches — Subject brief · 2021 ↗
First assessment: 2021
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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