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Alberta Math 30-2 (Math 30-2) curriculum and lessons

Browse the complete Math 30-2 expectation map, with starter examples and practice. Written lessons are added only after quality review and publication.

Course overview

Alberta Math 30-2 curriculum at a glance

This independent guide covers Mathematics 30-2 (Math 30-2). 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 ۳۰-۲ آلبرتا (Math 30-2) است. از بخش‌های زیر برای پیدا کردن موضوع مورد نظر و درس‌های منتشرشده استفاده کنید. برنامهٔ درسی رسمی

  1. LR · Logical Reasoning (استدلال منطقی)
  2. P · Probability (احتمال)
  3. RF · Relations and Functions (رابطه‌ها و تابع‌ها)

Course questions

Studying Math 30-2: topics, lessons, and official requirements

What topics are in Alberta Math 30-2?

The course map includes Logical Reasoning, Probability, Relations and Functions. Follow the complete section list above for the full study path.

درس ریاضی ۳۰-۲ آلبرتا چه مباحثی دارد؟ از جمله مباحث این درس استدلال منطقی، احتمال، رابطه‌ها و تابع‌ها است. فهرست کامل بخش‌ها در بالای صفحه قرار دارد.

Where can I study Math 30-2 in Alberta?

The 16-topic course map is available now. Written lessons appear here only after they have been reviewed and published. Check the official course source for exact requirements.

درس‌ها و برنامهٔ درسی ریاضی ۳۰-۲ آلبرتا را از کجا پیدا کنم؟ نقشهٔ 16 موضوع این درس در دسترس است. درس‌های نوشتاری پس از بررسی و انتشار در همین صفحه نمایش داده می‌شوند. برای شرایط دقیق به منبع رسمی درس مراجعه کنید.

Publication status

0 of 16 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.

Math 30-2

Topics by strand

LR · Logical Reasoning

Solve numerical and logical puzzles and organize sets with inclusive-or, intersections, complements, and Venn diagrams.

  • LR1 · Analyze numerical and logical puzzles or games using problem-solving strategies (written lesson not published)
  • LR2 · Solve problems using set notation, operations, and Venn diagrams (written lesson not published)
P · Probability

Interpret odds, combine events, and count ordered or unordered outcomes.

  • P1 · Interpret and assess odds and probability statements (written lesson not published)
  • P2 · Solve probability problems with mutually exclusive or overlapping events (written lesson not published)
  • P3 · Solve probability problems involving two independent or dependent events (written lesson not published)
  • P4 · Apply the fundamental counting principle (written lesson not published)
  • P5 · Count ordered arrangements using permutations (written lesson not published)
  • P6 · Count unordered selections using combinations (written lesson not published)
RF · Relations and Functions

Work with rational expressions and equations, logarithms, exponential models, polynomial data, and sinusoidal data.

  • RF1 · Determine equivalent rational expressions and non-permissible values (written lesson not published)
  • RF2 · Perform operations on two rational expressions (written lesson not published)
  • RF3 · Solve rational equations and reject extraneous solutions (written lesson not published)
  • RF4 · Understand logarithms and the laws of logarithms (written lesson not published)
  • RF5 · Solve problems involving exponential equations (written lesson not published)
  • RF6 · Use exponential and logarithmic functions to represent data and solve problems (written lesson not published)
  • RF7 · Use polynomial functions of degree at most three to represent data and solve problems (written lesson not published)
  • RF8 · Use sinusoidal functions to represent data and solve problems (written lesson not published)

Worked examples

Start with worked Grade 12 examples

These original examples introduce selected Math 30-2 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.

1. Two overlapping sets

In a class of 30, 18 study mathematics, 12 study science, and 5 study both. How many study at least one?

Worked method: Count the overlap once: 18 + 12 − 5 = 25. Five study neither.

فارسی · توضیح مثال

در کلاسی ۳۰ نفره، ۱۸ نفر ریاضی، ۱۲ نفر علوم و ۵ نفر هر دو را می‌خوانند. چند نفر دست‌کم یکی را می‌خوانند؟ بخش مشترک را یک بار بشمارید: ۱۸ + ۱۲ − ۵ = ۲۵. پنج نفر هیچ‌کدام را نمی‌خوانند.

2. A periodic model

A tide model is h(t) = 2 sin(πt/6) + 4. What are its midline and period?

Worked method: The midline is h = 4. The period is 2π ÷ (π/6) = 12 time units.

فارسی · توضیح مثال

مدل جزر و مد h(t) = 2 sin(πt/6) + 4 است. خط میانی و دورهٔ آن چیست؟ خط میانی h = ۴ است. دوره برابر ۲π ÷ (π/۶) = ۱۲ واحد زمان 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.

Practice 1

If P(A) = 0.6, P(B) = 0.5, and P(A ∩ B) = 0.2, find P(A ∪ B).

Show worked answer

0.6 + 0.5 − 0.2 = 0.9.

فارسی · تمرین و پاسخ

اگر P(A) = ۰٫۶، P(B) = ۰٫۵ و P(A ∩ B) = ۰٫۲ باشد، P(A ∪ B) را بیابید. ۰٫۶ + ۰٫۵ − ۰٫۲ = ۰٫۹.

Practice 2

How many unordered groups of three can be selected from six people?

Show worked answer

6C3 = 20 groups.

فارسی · تمرین و پاسخ

چند گروه سه‌نفرهٔ بدون ترتیب می‌توان از شش نفر انتخاب کرد؟ 6C3 = ۲۰ گروه.

Mathematical processes across expectations

These processes are practised throughout the course, rather than listed as separate lessons.

  • Interpret results in the context of a stated situation. (نتیجه را در چارچوب موقعیت داده‌شده تفسیر کنید.)
  • Connect diagrams, numerical tables, equations, and verbal reasoning. (نمودارها، جدول‌های عددی، معادله‌ها و استدلال کلامی را به هم پیوند دهید.)
  • Show when calculator output is an approximation, not an exact result. (مشخص کنید چه‌وقت خروجی ماشین‌حساب تقریبی است، نه دقیق.)

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.

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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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