Ontario Grade 8 Mathematics curriculum and lessons

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

41 of 44 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 هشتم انتاریو را از کجا پیدا کنم؟ اکنون 41 درس از 44 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.

A long row of zeros can make a number hard to read and copy. For example, 63,200,000 is a large number, while 0.000072 is a small…

A pattern is a set of values that follows a regular change. To compare patterns, look at two features. The rate tells how much the…

Suppose a class wants to learn about students’ ways of getting to school. If the question is “How do students get to school?”, each…

Look at a tiled floor or a patterned wall. The pieces fit together to cover the surface. A pattern like this can help us notice both…

Imagine you are buying something while travelling. The price may be in a different currency from your own. A payment method might…

Imagine placing numbers along a path from left to right. Numbers farther left are smaller, and numbers farther right are larger. Some…

A pattern is a set of values that follows a rule. A rational number is a number that can be written as a fraction, such as , , or .…

Suppose a class wants to see how a plant’s height changes as it grows. Each time the class measures the plant, it records both the…

Real numbers, roots, fractions, integers, and proportional reasoning.

• B1.1 · Represent and compare very large and small numbers using scientific notation (published written lesson)
• B1.2 · Describe and order rational and irrational numbers (published written lesson)
• B1.3 · Estimate and calculate square roots (published written lesson)
• B1.4 · Use fractions, decimals, and percents flexibly, including extreme percents (written lesson not published)
• B2.1 · Solve multistep rational-number, ratio, rate, and percent problems (published written lesson)
• B2.2 · Recall common square numbers and square roots (published written lesson)
• B2.3 · Multiply and divide decimals mentally by powers of ten (published written lesson)
• B2.4 · Add and subtract integers in context (published written lesson)
• B2.5 · Add and subtract fractions in context (published written lesson)
• B2.6 · Multiply and divide fractions, whole numbers, and mixed numbers (published written lesson)
• B2.7 · Multiply and divide integers in context (published written lesson)
• B2.8 · Compare proportional situations and find unknown values (written lesson not published)

Linear patterns, expressions, equations, inequalities, coding, and modelling.

• C1.1 · Compare growing and shrinking patterns by rate and initial value (published written lesson)
• C1.2 · Represent rational-number patterns with tables, graphs, and equations (published written lesson)
• C1.3 · Extend patterns and predict unknown terms using linear rules (published written lesson)
• C1.4 · Create patterns showing relationships among rational numbers (published written lesson)
• C2.1 · Combine first-degree monomials and binomials with integer coefficients (published written lesson)
• C2.2 · Evaluate expressions containing rational numbers (published written lesson)
• C2.3 · Solve and verify multistep equations with integers and decimals (published written lesson)
• C2.4 · Solve, verify, and graph integer inequalities (published written lesson)
• C3.1 · Write code to analyse data and communicate decisions (published written lesson)
• C3.2 · Modify data-analysis code and explain the result (published written lesson)

Two-variable data, scatter plots, evidence, and probability.

• D1.1 · Choose one-variable or two-variable data for a question (published written lesson)
• D1.2 · Collect and tabulate continuous two-variable data (published written lesson)
• D1.3 · Choose and label suitable graphs including scatter plots (published written lesson)
• D1.4 · Create a data infographic with appropriate representations (published written lesson)
• D1.5 · Describe strength and direction of two-variable relationships (published written lesson)
• D1.6 · Critique scatter plots and misleading graphs before drawing conclusions (published written lesson)
• D2.1 · Solve probability problems using tree and Venn diagrams (published written lesson)
• D2.2 · Compare theoretical and experimental probability of multiple events (written lesson not published)

Tessellations, scale, transformations, measurement, and right triangles.

• E1.1 · Identify shape properties and transformations in tessellations (published written lesson)
• E1.2 · Build scaled models from top, front, side, or perspective views (published written lesson)
• E1.3 · Use scale drawings to calculate lengths and areas (published written lesson)
• E1.4 · Translate, reflect, rotate, and dilate figures on a Cartesian plane (published written lesson)
• E2.1 · Represent very large and small metric units using powers of ten (published written lesson)
• E2.2 · Solve angle problems with lines and polygons (published written lesson)
• E2.3 · Find perimeter, area, volume, and surface area of composite shapes (published written lesson)
• E2.4 · Model and apply the Pythagorean relationship in right triangles (published written lesson)

Payment, exchange rates, budgeting, interest, and consumer choices.

• F1.1 · Compare payment methods for multiple currencies and exchange rates (published written lesson)
• F1.2 · Plan for a long-term financial goal including income, expenses, and tax (published written lesson)
• F1.3 · Track income and spending to maintain a balanced budget (published written lesson)
• F1.4 · Compare simple and compound interest with digital tools (published written lesson)
• F1.5 · Compare sale and loyalty offers for best value (published written lesson)
• F1.6 · Compare credit-card rates, fees, and rewards (published written lesson)

Start at −3 and move five steps right. Where do you land?

Worked method: Count −2, −1, 0, 1, 2. Therefore −3 + 5 = 2.

What is 125% of 40?

Worked method: 125% is 1.25, so 1.25 × 40 = 50.

The legs are 3 cm and 4 cm. Find the hypotenuse.

Worked method: 3² + 4² = 25, so the hypotenuse is √25 = 5 cm.

Evaluate −4 + 7.

Find 150% of 20.