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Alberta Math 20-2 (Math 20-2) curriculum and lessons
Browse the complete Math 20-2 expectation map, with starter examples and practice. Written lessons are added only after quality review and publication.
Course overview
Alberta Math 20-2 curriculum at a glance
This independent guide covers Mathematics 20-2 (Math 20-2). Its 6 course sections lead to the complete topic map below; open a written lesson where one has been published. Read the official course curriculum for exact requirements.
این راهنمای مستقل دربارهٔ ریاضی ۲۰-۲ آلبرتا (Math 20-2) است. از بخش‌های زیر برای پیدا کردن موضوع مورد نظر و درس‌های منتشرشده استفاده کنید. برنامهٔ درسی رسمی
- M · Measurement (اندازه‌گیری)
- G · Geometry (هندسه)
- NL · Number and Logic (عدد و منطق)
- S · Statistics (آمار)
- RF · Relations and Functions (رابطه‌ها و تابع‌ها)
- RP · Mathematics Research Project (پروژهٔ پژوهشی ریاضی)
Course questions
Studying Math 20-2: topics, lessons, and official requirements
The course map includes Measurement, Geometry, Number and Logic, and 3 other sections. Follow the complete section list above for the full study path.
درس ریاضی ۲۰-۲ آلبرتا چه مباحثی دارد؟ از جمله مباحث این درس اندازه‌گیری، هندسه، عدد و منطق است. فهرست کامل بخش‌ها در بالای صفحه قرار دارد.
14 of 15 written lessons are currently published and free to read. Open a linked lesson in the section map above. Check the official course source for exact requirements.
درس‌ها و برنامهٔ درسی ریاضی ۲۰-۲ آلبرتا را از کجا پیدا کنم؟ اکنون 14 درس از 15 درس نوشتاری منتشر شده و خواندن آن‌ها رایگان است. درس‌های دارای پیوند را در نقشهٔ بخش‌های بالا باز کنید. برای شرایط دقیق به منبع رسمی درس مراجعه کنید.
Publication status
14 of 15 written lessons published
The topic map covers the course expectations. A topic marked “written lesson not published” remains available for practice and tutoring, but does not have a reviewed written lecture yet.
Free published lessons
Start learning Math 20-2
These lessons are public, free to read, and connected to the full course map below.
A rate compares two quantities that use different units. For example, litres per minute compares a volume with a time. A unit rate…
A proof is a set of statements that shows why a conclusion must be true. In a direct proof, begin with the information given and use…
In mathematics, a conjecture is a statement that seems true but has not yet been proved. You can look for patterns in examples to…
Suppose the times students take to complete a familiar task are recorded. Most times may be close to the average, while fewer are…
A quadratic graph has a turning point and matching sides. It may open upward like a bowl or downward like an upside-down bowl. The…
Mathematics appears in events, inventions, art, games, sports, and everyday decisions. A research presentation connects a topic you…
A model, drawing, or object can be enlarged while keeping the same shape. If every length is multiplied by the same number, the areas…
Angles and triangles appear in signs, plans, and building designs. A diagram may show only some of the angle measures. Properties…
Math 20-2
Topics by strand
Compare rates and use proportional reasoning in scale drawings and similar shapes.
- M1 · Apply and compare rates and unit rates in context (published written lesson)
- M2 · Solve scale-diagram problems using proportional reasoning (written lesson not published)
- M3 · Relate scale factors to area, surface area, and volume (published written lesson)
Explain angle and triangle properties, then solve non-right triangles with the sine and cosine laws.
- G1 · Derive direct proofs involving angles and triangles (published written lesson)
- G2 · Solve problems using properties of angles and triangles (published written lesson)
- G3 · Solve non-ambiguous triangle problems with sine and cosine laws (published written lesson)
Test conjectures, solve spatial puzzles, and work with radicals and radical equations.
- NL1 · Analyze and prove conjectures using inductive and deductive reasoning (published written lesson)
- NL2 · Analyze spatial puzzles and games with problem-solving strategies (published written lesson)
- NL3 · Simplify and operate on square-root expressions (published written lesson)
- NL4 · Solve square-root and cube-root equations and check proposed roots (published written lesson)
Interpret normal distributions, standard deviation, z-scores, and the meaning of confidence intervals.
- S1 · Interpret normal distributions, standard deviation, and z-scores (published written lesson)
- S2 · Interpret confidence intervals, confidence levels, and margins of error (published written lesson)
Connect a quadratic graph with its vertex, symmetry, intercepts, and solutions.
- RF1 · Describe quadratic vertices, intercepts, domain, range, and symmetry (published written lesson)
- RF2 · Solve contextual problems involving quadratic equations (published written lesson)
Investigate a mathematical topic, assess sources, and present evidence clearly.
- RP1 · Research and present a mathematical event or area of interest (published written lesson)
Worked examples
Start with worked Grade 11 examples
These original examples introduce selected Math 20-2 expectations. The full expectation map is not a complete set of published written lessons or a substitute for official course materials and assignments. The strand-prefixed labels below identify the matching Ontario specific expectations; titles are concise study-guide paraphrases.
A 3 cm by 2 cm drawing is enlarged by a factor of 2. What are its new dimensions and area?
Worked method: The dimensions become 6 cm by 4 cm. Area changes by 2² = 4, from 6 cm² to 24 cm².
فارسی · توضیح مثال
نقشه‌ای به اندازهٔ ۳ در ۲ سانتی‌متر با ضریب ۲ بزرگ می‌شود. اندازه‌ها و مساحت تازه چیست؟ اندازه‌ها ۶ در ۴ سانتی‌متر می‌شوند. مساحت با ضریب ۲² = ۴، از ۶ به ۲۴ سانتی‌متر مربع می‌رسد.
A distribution has mean 50 and standard deviation 8. How far from the mean is 62?
Worked method: z = (62 − 50)/8 = 1.5, so 62 is 1.5 standard deviations above the mean.
فارسی · توضیح مثال
میانگین توزیعی ۵۰ و انحراف معیار آن ۸ است. عدد ۶۲ چقدر از میانگین فاصله دارد؟ z = (۶۲ − ۵۰)/۸ = ۱٫۵؛ پس ۶۲ به اندازهٔ ۱٫۵ انحراف معیار بالاتر از میانگین است.
Try independently, then check
Write your own solution before opening each answer. If a step is unclear, review the matching expectation or a Grade 10 prerequisite.
If lengths triple, what happens to area?
Show worked answer
Area becomes 3² = 9 times as large.
فارسی · تمرین و پاسخ
اگر طول‌ها سه‌برابر شوند، مساحت چه تغییری می‌کند؟ مساحت ۳² = ۹ برابر می‌شود.
Solve √(x + 5) = x − 1 and check the answer.
Show worked answer
Squaring gives x = 4 or −1; only x = 4 satisfies the original equation.
فارسی · تمرین و پاسخ
معادلهٔ √(x + 5) = x − 1 را حل و جواب را بررسی کنید. با مجذور کردن x = ۴ یا ۱− به دست می‌آید؛ فقط x = ۴ معادلهٔ اصلی را برقرار می‌کند.
Mathematical processes across expectations
These processes are practised throughout the course, rather than listed as separate lessons.
- Move between a situation, an equation, a labelled figure, and a sentence interpreting the result. (میان موقعیت، معادله، شکلِ برچسب‌دار و جملهٔ تفسیر پاسخ پیوند برقرار کنید.)
- State whether data are supplied or hypothetical and distinguish an estimate from a guarantee. (روشن کنید داده‌ها داده‌شده‌اند یا فرضی و برآورد را از تضمین جدا کنید.)
- Pause for a prediction before revealing the worked answer; check it against the original context. (پیش از نشان‌دادن پاسخ تشریحی، فرصتی برای پیش‌بینی بدهید و سپس پاسخ را با متن مسئله بسنجید.)
Source and coverage
Prerequisite: Mathematics 10C. Confirm your current school timetable and admission requirements.
The expectation map follows the official Alberta course source. Titles are concise study-guide paraphrases; consult the official source for exact requirements. Browse all courses.
Sources and editorial process
Curriculum-aligned and reviewed before publication
This independent study guide follows the official course source. It is not an official government, school, or university publication.
Lessons may be AI-assisted or editorially prepared. Published content is checked for structure, notation, calculations, course boundaries, and readability before release. Because corrections can still be necessary, readers can report a problem.
Related courses and next steps
Review a prerequisite or explore a related course. Follow your school or university requirements when choosing your next course.
پیش‌نیازها و درس‌های مرتبط را مرور کنید و برای انتخاب درس بعدی، مقررات مدرسه یا دانشگاه را بررسی کنید.
- Math 30-2 · Mathematics 30-2 (Alberta) ریاضی ۳۰-۲ آلبرتا
- Math 20-3 · Mathematics 20-3 (Alberta) ریاضی ۲۰-۳ آلبرتا
- Math 30-3 · Mathematics 30-3 (Alberta) ریاضی ۳۰-۳ آلبرتا
- Math 20-1 · Mathematics 20-1 (Alberta) ریاضی ۲۰-۱ آلبرتا
Get help while studying Math 20-2
Use the Math 20-2 lessons and topic map first, then try a question on your own. For example, bring an attempt from Measurement and Geometry and mark the first step you cannot explain. A live tutor can help you show each step of your attempt and compare it with a worked example; ask them to confirm they can support your particular course before booking a regular session.
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ابتدا درس‌ها و فهرست مباحث Math 20-2 را بخوانید و یک سؤال را خودتان حل کنید. نخستین گام مبهم را مشخص کنید تا در جلسه بتوانید گام‌های تلاش خود را نشان دهید و آن را با یک نمونهٔ حل‌شده مقایسه کنید. راهنمای معلم ریاضی را ببینید یا جلسهٔ معارفهٔ رایگان ۳۰ دقیقه‌ای درخواست کنید. دربارهٔ امکان تدریس همین درس از معلم تأیید بگیرید.