DoAssignment study guide
Alberta Math 20-1 (Math 20-1) curriculum and lessons
Browse the complete Math 20-1 expectation map, with starter examples and practice. Written lessons are added only after quality review and publication.
Course overview
Alberta Math 20-1 curriculum at a glance
This independent guide covers Mathematics 20-1 (Math 20-1). Its 3 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 ۲۰-۱ آلبرتا (Math 20-1) است. از بخش‌های زیر برای پیدا کردن موضوع مورد نظر و درس‌های منتشرشده استفاده کنید. برنامهٔ درسی رسمی
- AN · Algebra and Number (جبر و عدد)
- TR · Trigonometry (مثلثات)
- RF · Relations and Functions (رابطه‌ها و تابع‌ها)
Course questions
Studying Math 20-1: topics, lessons, and official requirements
The course map includes Algebra and Number, Trigonometry, Relations and Functions. Follow the complete section list above for the full study path.
درس ریاضی ۲۰-۱ آلبرتا چه مباحثی دارد؟ از جمله مباحث این درس جبر و عدد، مثلثات، رابطه‌ها و تابع‌ها است. فهرست کامل بخش‌ها در بالای صفحه قرار دارد.
5 of 20 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 ۲۰-۱ آلبرتا را از کجا پیدا کنم؟ اکنون 5 درس از 20 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
5 of 20 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 20-1
These lessons are public, free to read, and connected to the full course map below.
In Alberta Mathematics 20-1, absolute value describes distance, not a rule that simply erases a minus sign. A point at −2 is five…
The sine law is useful when a known angle is paired with its opposite side. But side–side–angle (SSA) information can make two…
Vertex form makes the turning point of a parabola visible without completing a new calculation. In Mathematics 20-1, this is useful…
An inequality in x and y describes an entire region, not just a curve. First graph the related equality as a boundary; then decide…
An arithmetic sequence is a list of terms that changes by the same amount each time. Mathematics 20-1 also asks for the sum of a…
Math 20-1
Topics by strand
Absolute value, radicals, and rational expressions and equations.
- AN1 · Interpret absolute value as distance on a number line (published written lesson)
- AN2 · Simplify and operate on radical expressions with valid radicands (written lesson not published)
- AN3 · Solve square-root equations and reject extraneous answers (written lesson not published)
- AN4 · Find equivalent rational expressions and retain excluded values (written lesson not published)
- AN5 · Add, subtract, multiply, and divide rational expressions (written lesson not published)
- AN6 · Solve rational equations and check denominator restrictions (written lesson not published)
Angles in standard position, primary ratios, and the sine and cosine laws, including the ambiguous case.
- TR1 · Sketch and analyze angles from 0° to 360° in standard position (written lesson not published)
- TR2 · Use sine, cosine, and tangent for angles from 0° to 360° (written lesson not published)
- TR3 · Solve triangles with the sine and cosine laws, including SSA ambiguity (published written lesson)
Quadratics, absolute-value and reciprocal graphs, inequalities, systems, and sequences.
- RF1 · Factor quadratics, differences of squares, and quadratic patterns (written lesson not published)
- RF2 · Graph absolute values of linear and quadratic functions (written lesson not published)
- RF3 · Analyze quadratic functions in vertex form (published written lesson)
- RF4 · Analyze quadratic functions in standard form and solve problems (written lesson not published)
- RF5 · Solve quadratic equations by suitable exact or graphical methods (written lesson not published)
- RF6 · Solve linear–quadratic and quadratic–quadratic systems (written lesson not published)
- RF7 · Graph solution regions of linear and quadratic inequalities in two variables (published written lesson)
- RF8 · Solve quadratic inequalities in one variable (written lesson not published)
- RF9 · Analyze arithmetic sequences and series in context (published written lesson)
- RF10 · Analyze geometric sequences and series in context (written lesson not published)
- RF11 · Graph reciprocals of linear and quadratic functions (written lesson not published)
Worked examples
Start with worked Grade 11 examples
These original examples introduce selected Math 20-1 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.
Find the vertex and zeros of y = (x − 2)² − 4.
Worked method: The vertex is (2, −4). Setting y = 0 gives (x − 2)² = 4, so x = 0 or 4.
فارسی · توضیح مثال
رأس و ریشه‌های y = (x − 2)² − 4 را بیابید. رأس (۲، −۴) است. با قرار دادن y = ۰ داریم (x − 2)² = 4؛ پس x = ۰ یا ۴.
Given A = 30°, a = 7, and b = 10, how many triangles are possible?
Worked method: Since 10 sin 30° = 5 < 7 < 10, two triangles are possible. Both must be checked rather than stopping at one inverse-sine result.
فارسی · توضیح مثال
اگر A = ۳۰°، a = ۷ و b = ۱۰ باشد، چند مثلث ممکن است؟ چون ۱۰sin۳۰° = ۵ < ۷ < ۱۰، دو مثلث ممکن است. هر دو را باید بررسی کرد و نباید به یک جواب وارون سینوس بسنده کرد.
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.
Solve |x − 3| = 5.
Show worked answer
x = −2 or x = 8; each is five units from 3.
فارسی · تمرین و پاسخ
معادلهٔ |x − 3| = ۵ را حل کنید. x = −۲ یا x = ۸؛ هر دو پنج واحد از ۳ فاصله دارند.
What value is excluded from 1/(x − 4)?
Show worked answer
x = 4, because the denominator would be zero.
فارسی · تمرین و پاسخ
چه مقداری برای 1/(x − 4) غیرمجاز است؟ x = ۴، چون مخرج صفر می‌شود.
Mathematical processes across expectations
These processes are practised throughout the course, rather than listed as separate lessons.
- Connect algebraic steps with a labelled graph, number line, or triangle when it clarifies the result. (هر جا به فهم پاسخ کمک می‌کند، مراحل جبری را به نمودار، محور اعداد یا مثلثِ برچسب‌دار پیوند دهید.)
- Check excluded values, graph windows, units, and extraneous roots. (مقدارهای غیرمجاز، پنجرهٔ نمودار، واحدها و ریشه‌های اضافی را بررسی کنید.)
- Treat arithmetic and geometric sequences as discrete, not continuous, models. (دنباله‌های حسابی و هندسی را مدل‌های گسسته بدانید، نه پیوسته.)
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.
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