DoAssignment study guide
Ontario Grade 9 Math (MTH1W) curriculum and lessons
Use this complete MTH1W course map to understand every Ontario Grade 9 math strand, open the free written lessons that have passed review, and find focused practice for a weak topic.
Course overview
Grade 9 Ontario Math (MTH1W) course overview
This independent guide covers Grade 9 Mathematics (MTH1W). Its 6 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 نهم انتاریو (MTH1W) است. از بخش‌های زیر برای پیدا کردن موضوع مورد نظر و درس‌های منتشرشده استفاده کنید. برنامهٔ درسی رسمی انتاریو
- A · Mathematical Thinking and Connections (تفکر ریاضی و ایجاد ارتباط)
- B · Number (اعداد)
- C · Algebra (جبر)
- D · Data (داده‌ها)
- E · Geometry and Measurement (هندسه و اندازه‌گیری)
- F · Financial Literacy (سواد مالی)
Start with a reviewed lesson
Number sets, density, and infinity
Open the published MTH1W lesson for Explain density, infinity, and limit in number sets. Then return to the course map to choose your next topic.
Read the free Number sets, density, and infinity lesson
درس مجموعه‌های عددی، چگالی و بی‌نهایت را بخوانید و سپس موضوع بعدی را از فهرست درس انتخاب کنید.
Free published lessons
Start learning MTH1W
These lessons are public, free to read, and connected to the full course map below.
Mathematics is more than getting an answer. You also need to make sense of a problem, choose a way to work on it, and communicate how…
Numbers are so familiar that it is easy to forget they were invented — slowly, over thousands of years — to solve real problems.…
Long before smartphones or spreadsheets, people needed to keep track of quantities that changed — harvests, distances, debts. At…
Every day, data shapes the decisions around you. Schools use attendance data to plan staffing. Streaming services use viewing data to…
Imagine measuring the length of a classroom desk. Saying that it is 12 long does not give enough information. Twelve what…
Financial decisions are choices about how to use money. You might decide whether to buy something now, wait, or choose another…
Mathematics is more than calculations on a page. People use it to plan a trip, compare prices, build a space, or share resources.…
Numbers are everywhere, but not all numbers are alike. A counting number like , a negative temperature like , a share of a pizza…
Course snapshot
MTH1W at a glance
MTH1W
Ontario Grade 9
De-streamed mathematics
2021 · six strands
None
44 of 45 written lessons published
Study order
Where to start in Grade 9 math
Start with number skills and algebra foundations, then connect equations to tables and graphs. Continue into data, geometry and measurement, and financial literacy. Mathematical thinking is used throughout all six strands.
Useful published starting lessons:
- B3.4 · Solve problems with positive and negative fractions
- B2.2 · Use exponent relationships to simplify expressions
- C1.5 · Create, solve, and verify equations
- C3.2 · Connect representations of linear relations
- D1.2 · Represent and analyse one-variable data, including box plots
- F1.4 · Modify a budget when circumstances change
Common challenges
Where MTH1W students often get stuck
- Signed numbers and fractions: keeping track of negative signs while applying fraction operations.
- Exponent rules: deciding which rule applies instead of multiplying exponents automatically.
- Algebraic modelling: translating a situation into an expression or equation before solving it.
- Linear relations: connecting a story, table, graph, and equation and explaining what the slope and intercept mean.
- Multi-step problems: checking units, assumptions, and whether the final answer is reasonable.
Use the full strand map to open the exact skill you need, or use the separate diagnostic review to identify a weak area first.
Worked connection
One idea across number, algebra, and financial literacy
Suppose a $48 item is discounted by 25%. Number skills give the discount: 0.25 × 48 = 12. Algebra records the relationship as sale price = original price − discount. Financial literacy asks whether tax is applied before or after the discount. The sale price before tax is therefore $48 − $12 = $36.
This is how MTH1W topics connect: calculate accurately, represent the relationship, then interpret the result in context.
MTH1W
Explore the curriculum
Use mathematical processes and connect mathematics to lived experiences, careers, and real-life applications.
- A1 · Apply mathematical processes and communicate reasoning (published written lesson)
- A2 · Connect mathematics to real life, knowledge systems, and careers (published written lesson)
Build confidence with number systems, powers, rates, ratios, and proportional reasoning.
- B1.1 · Explore the development and use of a number concept (published written lesson)
- B1.2 · Describe and compare subsets of a number system (published written lesson)
- B1.3 · Explain density, infinity, and limit in number sets (published written lesson)
- B2.1 · Evaluate powers and use scientific notation (published written lesson)
- B2.2 · Use exponent relationships to simplify expressions (published written lesson)
- B3.1 · Use integers to describe location, direction, amount, and change (published written lesson)
- B3.2 · Apply unit fractions in measurement and other contexts (published written lesson)
- B3.3 · Explain signs in ratios, rates, fractions, and decimals (written lesson not published)
- B3.4 · Solve problems with positive and negative fractions (published written lesson)
- B3.5 · Solve problems with rates, percentages, and proportions (published written lesson)
Represent patterns, manipulate expressions, solve equations, and model relationships.
- C1.1 · Explore the development and use of an algebraic concept (published written lesson)
- C1.2 · Create expressions that generalize relationships (published written lesson)
- C1.3 · Compare expressions and identify equivalent forms (published written lesson)
- C1.4 · Simplify algebraic expressions (published written lesson)
- C1.5 · Create, solve, and verify equations (published written lesson)
- C2.1 · Use coding to represent algebraic concepts (published written lesson)
- C2.2 · Create code to represent relationships and solve problems (published written lesson)
- C2.3 · Predict and modify the outcome of code (published written lesson)
- C3.1 · Compare rates of change in linear and non-linear graphs (published written lesson)
- C3.2 · Connect representations of linear relations (published written lesson)
- C3.3 · Compare linear relations and interpret their intersection (published written lesson)
- C4.1 · Compare linear and non-linear representations (published written lesson)
- C4.2 · Graph equations and inequalities and describe their features (published written lesson)
- C4.3 · Translate, reflect, and rotate lines (published written lesson)
- C4.4 · Determine equations of lines and solve problems (published written lesson)
Collect, display, analyse, and model data to make evidence-based conclusions.
- D1.1 · Examine the collection, storage, representation, and use of data (published written lesson)
- D1.2 · Represent and analyse one-variable data, including box plots (published written lesson)
- D1.3 · Analyse two-variable data with scatter plots and regression (published written lesson)
- D2.1 · Explain the value of mathematical modelling (published written lesson)
- D2.2 · Identify a modelling question and required information (published written lesson)
- D2.3 · Plan and collect data for a mathematical model (published written lesson)
- D2.4 · Display and analyse data to build a model (published written lesson)
- D2.5 · Assess, report, and use a mathematical model (published written lesson)
Use geometry, measurement, and spatial reasoning to solve practical problems.
- E1.1 · Explore a geometric concept or measurement system (published written lesson)
- E1.2 · Create designs using circle and triangle relationships (published written lesson)
- E1.3 · Solve problems within and between measurement systems (published written lesson)
- E1.4 · Analyse how changing dimensions affects measures (published written lesson)
- E1.5 · Solve right-triangle side-length problems (published written lesson)
- E1.6 · Apply volume relationships for prisms, pyramids, cylinders, and cones (published written lesson)
Make informed decisions about money, growth, borrowing, and budgeting.
- F1.1 · Use past and current situations to inform financial decisions (published written lesson)
- F1.2 · Analyse appreciation and depreciation (published written lesson)
- F1.3 · Compare borrowing and purchasing costs (published written lesson)
- F1.4 · Modify a budget when circumstances change (published written lesson)
Test and exam preparation
Ontario Grade 9 Math MTH1W review
Find your weak topics with an original mixed diagnostic, check worked answers, and follow a seven-day review schedule.
Questions students ask
MTH1W frequently asked questions
What is MTH1W?
MTH1W is Ontario’s de-streamed Grade 9 Mathematics course. It brings students into one common Grade 9 math pathway and develops number, algebra, data, geometry, measurement, and financial literacy skills.
What topics are included in MTH1W?
The course has six strands: Mathematical Thinking and Connections, Number, Algebra, Data, Geometry and Measurement, and Financial Literacy. The lesson map on this page lists the skills inside every strand.
Is MTH1W academic or applied?
Neither. MTH1W is the de-streamed Grade 9 mathematics course introduced in Ontario in 2021. Students choose an appropriate Grade 10 mathematics pathway after completing it.
Are the MTH1W written lessons free?
Yes. Every lesson marked “published written lesson” on this page can be read for free. Unpublished topics remain visible in the course map so students can see the complete curriculum coverage.
What should I study after MTH1W?
The next course depends on the student’s goals and school guidance. Use the linked Grade 10 comparison to review the MPM2D academic and MFM2P applied pathways and their prerequisites.
Source and editorial note
Built from the Ontario curriculum
This independent study guide follows the 2021 Ontario MTH1W course structure. It is not an official Ministry of Education publication.
Read the official Ontario MTH1W curriculum · About DoAssignment · Report a correction
Editorial review: DoAssignment curriculum team · Last reviewed September 27, 2026. Published lessons are released only after the site’s lesson quality checks.
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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