DoAssignment study guide

Ontario Grade 7 Mathematics curriculum and lessons

Browse the complete Grade 7 Math expectation map, with starter examples and practice. Written lessons are added only after quality review and publication.

Course overview

Grade 7 Ontario math at a glance

This independent guide covers Grade 7 Mathematics (Grade 7 Math). Its 5 course sections lead to the complete topic map below; open a written lesson where one has been published. Read the official Ontario curriculum for exact requirements.

این راهنمای مستقل دربارهٔ ریاضی پایه هفتم انتاریو (Grade 7 Math) است. از بخش‌های زیر برای پیدا کردن موضوع مورد نظر و درس‌های منتشرشده استفاده کنید. برنامهٔ درسی رسمی انتاریو

  1. B · Number (عدد)
  2. C · Algebra (جبر)
  3. D · Data (داده‌ها)
  4. E · Spatial Sense (درک فضایی)
  5. F · Financial Literacy (سواد مالی)

Course questions

Studying 2020 curriculum: topics, lessons, and official requirements

What topics are in Ontario Grade 7 Math (2020 curriculum)?

The course map includes Number, Algebra, Data, and 2 other sections. Follow the complete section list above for the full study path.

درس ریاضی پایه هفتم انتاریو (2020 curriculum) چه مباحثی دارد؟ از جمله مباحث این درس عدد، جبر، داده‌ها است. فهرست کامل بخش‌ها در بالای صفحه قرار دارد.

Where can I study Grade 7 Math in Ontario?

5 of 50 written lessons are currently published and free to read. Open a linked lesson in the section map above. Check the official Ontario curriculum for exact requirements.

درس‌ها و برنامهٔ درسی ریاضی پایه هفتم انتاریو را از کجا پیدا کنم؟ اکنون 5 درس از 50 درس نوشتاری منتشر شده و خواندن آن‌ها رایگان است. درس‌های دارای پیوند را در نقشهٔ بخش‌های بالا باز کنید. برای شرایط دقیق به برنامهٔ درسی رسمی انتاریو مراجعه کنید.

Publication status

5 of 50 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 Grade 7 Math

These lessons are public, free to read, and connected to the full course map below.

B1.2 · Identify perfect squares and find their square roots

A perfect square is a whole number that can be arranged in equal rows and columns to make a square. The picture helps us see why 36…

C1.2 · Represent number patterns with tables, expressions, and linear equations

A pattern can be shown with objects, a table of values, and a graph. Each representation must describe the same rule. Consider a…

D1.3 · Select suitable graphs, including circle graphs

A circle graph is useful when categories are non-overlapping parts of one whole. Each sector should match its category share, and the…

E2.3 · Connect radius, diameter, and circumference

A radius runs from the centre of a circle to its edge. A diameter goes across the centre from one edge to the other, so it is two…

F1.3 · Create and revise sample budgets for longer-term goals

A budget records income and planned expenses over a stated period. It can help someone work toward a goal, but it is not a promise…

Grade 7 Math

Topics by strand

B · Number

Rational numbers, fractions, integers, powers, and operations.

  • B1.1 · Represent and compare whole numbers up to one billion using powers of ten (written lesson not published)
  • B1.2 · Identify perfect squares and find their square roots (published written lesson)
  • B1.3 · Represent, compare, and order signed fractions and decimals to thousandths (written lesson not published)
  • B1.4 · Simplify fractions using equivalent fractions (written lesson not published)
  • B1.5 · Generate fractions and decimals between two quantities (written lesson not published)
  • B1.6 · Round decimals to suitable whole, tenth, or hundredth values (written lesson not published)
  • B1.7 · Convert among fractions, decimals, and percents (written lesson not published)
  • B2.1 · Use properties and order of operations in multi-step number and percent problems (written lesson not published)
  • B2.2 · Recall common fraction, decimal, and percent equivalents (written lesson not published)
  • B2.3 · Increase and decrease whole numbers mentally by benchmark percents (written lesson not published)
  • B2.4 · Model and solve integer addition and subtraction problems (written lesson not published)
  • B2.5 · Add and subtract fractions using equivalent fractions (written lesson not published)
  • B2.6 · Find greatest common factors and least common multiples (written lesson not published)
  • B2.7 · Express repeated whole-number multiplication using exponents (written lesson not published)
  • B2.8 · Multiply and divide fractions by fractions with models (written lesson not published)
  • B2.9 · Multiply and divide decimals by decimals (written lesson not published)
C · Algebra

Patterns, expressions, equations, inequalities, and coding.

  • C1.1 · Compare repeating, growing, and shrinking patterns by rate and starting value (written lesson not published)
  • C1.2 · Represent number patterns with tables, expressions, and linear equations (published written lesson)
  • C1.3 · Extend patterns and use their rules to find missing values (written lesson not published)
  • C2.1 · Add and subtract first-degree monomials using models (written lesson not published)
  • C2.2 · Evaluate expressions with whole numbers and decimals (written lesson not published)
  • C2.3 · Solve and verify multi-term equations with whole numbers and decimals (written lesson not published)
  • C2.4 · Solve, verify, and graph whole-number inequalities (written lesson not published)
  • C3.1 · Write efficient code using counts, subprograms, and control structures (written lesson not published)
  • C3.2 · Modify code and explain changes to its output and efficiency (written lesson not published)
D · Data

Percent distributions, circle graphs, averages, and probability.

  • D1.1 · Explain percent distributions of large populations and samples (written lesson not published)
  • D1.2 · Collect and organize qualitative and quantitative data using percentages (written lesson not published)
  • D1.3 · Select suitable graphs, including circle graphs (published written lesson)
  • D1.4 · Create a data infographic with tables and circle graphs (written lesson not published)
  • D1.5 · Explore how adding or removing data changes averages and distributions (written lesson not published)
  • D1.6 · Critique circle graphs and misleading displays before drawing conclusions (written lesson not published)
  • D2.1 · Distinguish independent from dependent events (written lesson not published)
  • D2.2 · Compare theoretical and experimental probabilities for two events (written lesson not published)
E · Spatial Sense

Solids, transformations, circles, nets, area, and volume.

  • E1.1 · Classify cylinders, pyramids, and prisms by properties and symmetry (written lesson not published)
  • E1.2 · Draw scaled top, front, side, and perspective views (written lesson not published)
  • E1.3 · Perform dilations and describe similar shapes (written lesson not published)
  • E1.4 · Translate, reflect, and rotate shapes on a Cartesian plane (written lesson not published)
  • E2.1 · Relate volume in cubic centimetres to capacity in millilitres (written lesson not published)
  • E2.2 · Convert metric units in perimeter, area, and volume problems (written lesson not published)
  • E2.3 · Connect radius, diameter, and circumference (published written lesson)
  • E2.4 · Construct circles from a radius, diameter, or circumference (written lesson not published)
  • E2.5 · Explain and use the circle-area formula (written lesson not published)
  • E2.6 · Use cylinder nets to calculate surface area (written lesson not published)
  • E2.7 · Find prism and cylinder volume from base area and height (written lesson not published)
F · Financial Literacy

Exchange rates, reliable sources, budgets, and interest.

  • F1.1 · Compare exchange rates and convert currencies to and from Canadian dollars (written lesson not published)
  • F1.2 · Identify reliable information sources for financial goals (written lesson not published)
  • F1.3 · Create and revise sample budgets for longer-term goals (published written lesson)
  • F1.4 · Explain personal and social influences on financial decisions (written lesson not published)
  • F1.5 · Explain how interest affects saving, investment, and borrowing (written lesson not published)
  • F1.6 · Compare account and loan rates and fees for different scenarios (written lesson not published)

Worked examples

Start with worked Grade 7 examples

These original examples introduce selected Grade 7 Math 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. A perfect square

A square has area 36 cm². How long is one side?

Worked method: Six rows of six unit squares make 36, so the side length is √36 = 6 cm.

فارسی · توضیح مثال

مساحت مربعی ۳۶ سانتی‌متر مربع است. طول هر ضلع چقدر است؟ شش ردیف شش‌تایی، ۳۶ مربع واحد می‌سازند؛ پس طول ضلع √۳۶ = ۶ سانتی‌متر است.

2. A part of a whole

If 8 of 20 students choose a topic, what percent chose it?

Worked method: 8 ÷ 20 = 0.4 = 40%. The denominator is the full class of 20.

فارسی · توضیح مثال

اگر ۸ نفر از ۲۰ دانش‌آموز موضوعی را انتخاب کنند، چند درصد آن را انتخاب کرده‌اند؟ ۸ ÷ ۲۰ = ۰٫۴ = ۴۰٪. مخرج، کل کلاس یعنی ۲۰ نفر 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 6 prerequisite.

Practice 1

Find √49.

Show worked answer

7

فارسی · تمرین و پاسخ

√۴۹ را بیابید. ۷

Practice 2

Convert 3/4 to a percent.

Show worked answer

75%

فارسی · تمرین و پاسخ

۳/۴ را به درصد تبدیل کنید. ۷۵٪

Mathematical processes across expectations

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

  • Problem solving and reasoning (حل مسئله و استدلال)
  • Selecting tools and representing ideas (انتخاب ابزار و نمایش ایده‌ها)
  • Reflecting, connecting, and communicating (بازاندیشی، ارتباط‌دادن و بیان اندیشه)
  • Social-emotional learning is integrated across the five content strands (یادگیری اجتماعی‌عاطفی در پنج بخش محتوایی ادغام می‌شود)

Source and coverage

The expectation map follows the official Ontario mathematics curriculum. Titles are concise study-guide paraphrases; consult the official source for exact requirements. Browse all curricula.

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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