DoAssignment study guide
Alberta Math 30-1 (Math 30-1) curriculum and lessons
Browse the complete Math 30-1 expectation map, with starter examples and practice. Written lessons are added only after quality review and publication.
Course overview
Alberta Math 30-1 curriculum at a glance
This independent guide covers Mathematics 30-1 (Math 30-1). 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 ۳۰-۱ آلبرتا (Math 30-1) است. از بخش‌های زیر برای پیدا کردن موضوع مورد نظر و درس‌های منتشرشده استفاده کنید. برنامهٔ درسی رسمی
- RF · Relations and Functions (رابطه‌ها و تابع‌ها)
- TR · Trigonometry (مثلثات)
- PC · Permutations, Combinations, and Binomial Theorem (جایگشت، ترکیب و قضیهٔ دوجمله‌ای)
Course questions
Studying Math 30-1: topics, lessons, and official requirements
The course map includes Relations and Functions, Trigonometry, Permutations, Combinations, and Binomial Theorem. Follow the complete section list above for the full study path.
درس ریاضی ۳۰-۱ آلبرتا چه مباحثی دارد؟ از جمله مباحث این درس رابطه‌ها و تابع‌ها، مثلثات، جایگشت، ترکیب و قضیهٔ دوجمله‌ای است. فهرست کامل بخش‌ها در بالای صفحه قرار دارد.
3 of 24 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 ۳۰-۱ آلبرتا را از کجا پیدا کنم؟ اکنون 3 درس از 24 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
3 of 24 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 30-1
These lessons are public, free to read, and connected to the full course map below.
Functions can be added, multiplied, divided, or put inside one another. In Mathematics 30-1, a correct formula is only part of the…
A radian connects an angle to the length of the arc it cuts off. When an arc has the same length as its circle’s radius, the central…
A selection is different from an arrangement. If three students are chosen for a committee with identical roles, changing their order…
Math 30-1
Topics by strand
Use algebra and graphs to reason about functions, transformations, inverses, logarithms, polynomials, radicals, and rational functions.
- RF1 · Combine and compose functions, including their domains (published written lesson)
- RF2 · Describe horizontal and vertical translations of functions (written lesson not published)
- RF3 · Describe horizontal and vertical stretches of functions (written lesson not published)
- RF4 · Apply translations and stretches to graphs and equations (written lesson not published)
- RF5 · Analyze reflections across the axes and the line y = x (written lesson not published)
- RF6 · Find and interpret inverse relations and restricted inverse functions (written lesson not published)
- RF7 · Relate logarithms to exponential statements (written lesson not published)
- RF8 · Use the product, quotient, and power laws of logarithms (written lesson not published)
- RF9 · Graph and analyze exponential and logarithmic functions (written lesson not published)
- RF10 · Solve exponential and logarithmic equations in context (written lesson not published)
- RF11 · Factor polynomials of degree three through five with integer coefficients (written lesson not published)
- RF12 · Graph and analyze polynomial functions up to degree five (written lesson not published)
- RF13 · Graph and analyze functions involving one square root (written lesson not published)
- RF14 · Graph and analyze rational functions with numerator and denominator of degree at most two (written lesson not published)
Connect radians, the unit circle, trigonometric ratios, graphs, equations, and identities.
- TR1 · Convert degree and radian measures and solve arc-length problems (published written lesson)
- TR2 · Use the unit circle to determine coordinates and angle relationships (written lesson not published)
- TR3 · Determine and interpret the six trigonometric ratios for angles in standard position (written lesson not published)
- TR4 · Graph sine, cosine, and tangent, and model with sinusoidal functions (written lesson not published)
- TR5 · Solve first- and second-degree trigonometric equations with stated domains (written lesson not published)
- TR6 · Prove trigonometric identities using the course identity families (written lesson not published)
Count arrangements and selections, then expand powers of binomials.
- PC1 · Apply the fundamental counting principle (written lesson not published)
- PC2 · Count ordered arrangements using permutations (written lesson not published)
- PC3 · Count unordered selections using combinations (published written lesson)
- PC4 · Expand natural-number powers with the binomial theorem (written lesson not published)
Worked examples
Start with worked Grade 12 examples
These original examples introduce selected Math 30-1 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.
How does the graph of y = (x − 3)² + 2 compare with y = x²?
Worked method: Move the parabola three units right and two units up; its vertex is (3, 2).
فارسی · توضیح مثال
نمودار y = (x − 3)² + 2 نسبت به y = x² چگونه تغییر می‌کند؟ سهمی را سه واحد به راست و دو واحد به بالا ببرید؛ رأس آن (3, 2) است.
How many groups of three can be chosen from five distinct students?
Worked method: Order does not matter, so choose 5 C 3 = 10 groups.
فارسی · توضیح مثال
از میان پنج دانش‌آموز متمایز چند گروه سه‌نفره می‌توان انتخاب کرد؟ ترتیب مهم نیست؛ بنابراین تعداد گروه‌ها برابر 5 C 3 = 10 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 11 prerequisite.
Convert 150° to radians.
Show worked answer
5π/6 radians.
فارسی · تمرین و پاسخ
۱۵۰ درجه را به رادیان تبدیل کنید. ۵π/۶ رادیان.
Solve log₂(x) = 4.
Show worked answer
x = 16, which satisfies x > 0.
فارسی · تمرین و پاسخ
معادلهٔ log₂(x) = 4 را حل کنید. x = 16 و شرط x > 0 برقرار است.
Mathematical processes across expectations
These processes are practised throughout the course, rather than listed as separate lessons.
- Connect symbolic, graphical, numerical, and verbal representations. (نمایش‌های نمادی، نموداری، عددی و کلامی را به هم پیوند دهید.)
- Show reasoning, domain restrictions, and meaningful checks. (استدلال، محدودیت دامنه و بررسی معنی‌دار پاسخ را نشان دهید.)
- Use a graphing calculator purposefully where an outcome calls for technology. (در پیامدهایی که به فناوری نیاز دارند، از ماشین‌حساب نموداری هدفمند استفاده کنید.)
Source and coverage
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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