Education and Leadership › Women’s Academy › School to University › Mathematics – Level 2 › Course Materials
This course is part of the Women’s Academy “School to University” programme and is equivalent to grade 9. Its main topics are powers, roots and scientific notation, linear algebra, graphs and linear functions, geometry, and basic statistics and probability. The content is built around topics covered in international curricula (such as Cambridge Lower Secondary and IGCSE) and global assessment frameworks such as PISA, with everyday examples and step-by-step practice.
Course page on the learning platform
Course details
| Level | Level 2 of 4, equivalent to grade 9 |
| Estimated duration | 45 hours of study and practice |
| Prerequisite | Mathematics – Level 1, or a pass in the placement test |
| Language of instruction | Farsi-e-Dari (with key English terms) |
| Fee | Free |
| Assessment | A quiz after each section and a final exam; pass mark 70%; certificate after approval by the Academy |
After this course you will be able to
- In “Powers, roots and scientific notation”: understand the laws of indices, roots and scientific notation, and use them to solve problems
- In “Linear algebra”: understand simplifying expressions, linear equations and inequalities, and use them to solve problems
- In “Graphs and linear functions”: understand the coordinate system, gradient and the equation of a line, and use them to solve problems
- In “Geometry”: understand Pythagoras’ theorem, similarity and circles, and use them to solve problems
- In “Basic statistics and probability”: understand data collection, mean, median, mode and simple probability, and use them to solve problems
Course outline
- Laws of indices
- Square roots
- Scientific notation
- Simplifying expressions
- Linear equations
- Inequalities
- The coordinate system
- Steepness of a line
- Equation of a line
- Pythagoras’ theorem
- Similarity
- Circles
- Collecting data
- Mean, median, mode
- Simple probability
Week-by-week learning path
With about 30 to 45 minutes of study and practice a day, you will finish this course in 6 weeks:
| Week | Topic | Weekly output |
|---|---|---|
| Week 1 | Powers, roots and scientific notation | Lessons, practical exercise and short section quiz |
| Week 2 | Linear algebra | Lessons, practical exercise and short section quiz |
| Week 3 | Graphs and linear functions | Lessons, practical exercise and short section quiz |
| Week 4 | Geometry | Lessons, practical exercise and short section quiz |
| Week 5 | Basic statistics and probability | Lessons, practical exercise and short section quiz |
| Week 6 | Final project and final exam | Completed project and a score of 70% or more |
Final project
A “problem portfolio”: ten practical problems from everyday life (shopping, building, budgeting, maps) based on the topics of this level, with full solutions, an explanation of each step and a check of each answer.
Project assessment criteria:
- Correct solutions
- Clear explanation of the steps
- Link to real life
- Care in checking answers
Key course terms
Equation
Variable
Function
Slope
Fraction
Percentage
Probability
Proof
Assessment and certificate
- After each section: a short quiz (70% recommended before moving on)
- Practical exercises in each lesson are for learning; use Questions to send your questions
- End of course: final exam (pass mark 70%) and submission of the final project
- Digital certificate after review and approval by the Academy: Request a certificate
Teaching method
Each lesson includes learning objectives, explanations with real examples and images, key terms in Dari and English, common mistakes, a practical exercise, a self-test and a summary. In every lesson you can use the Questions button to ask the teacher questions. The courses are impartial, free and open to all young people.
Get ready now
- Review the summaries and quizzes of “Mathematics – Level 1”
- Prepare a notebook just for this subject
- Set aside 45 to 60 minutes a day for study and practice
Free, reliable resources
These resources were selected by the Academy team. Most are in English; Chrome’s Translate feature can help if needed. Large files (books, exercise files, videos) will be placed in the Academy’s official Google Drive folder when the course goes live, and linked from this page.
- Khan Academy, free lessons in mathematics, science and economics
- CK-12 Foundation, free mathematics and science books and exercises
- PhET – University of Colorado, free interactive simulations for physics, chemistry, biology and mathematics (in several languages, including Farsi)
- MIT OpenCourseWare, free course materials from MIT
Note: This programme is for learning and preparation only and does not count as an official school qualification or formal equivalence; its aim is to prepare young people for exams, scholarships and university study.
Help and questions
Questions about this course: [email protected] · All courses: Online Learning Centre · Active course: Computer and Internet Basics
Women’s Academy, Afghanistan Youth Parliament · Free and open to all young people