30 free lessons · Worked examples and practice

Grade 9 math

Develop algebraic fluency while learning to justify rules and compare mathematical models. Connect powers, equations, functions, and geometry through carefully explained examples.

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Use the pictures and worked reasoning as a starting point. Make your own sketch, explain your choices, and check the result.

Your study guide

What you will explore.

Explain exponent rules and algebraic operations
Model relationships with equations and functions
Apply geometry and interpret data

Before you begin

Review fraction arithmetic, signed numbers, equations, and coordinate graphs. Fluency helps, but you can pause to sketch or verify a rule with a simple case.

Review Grade 8

How to study these lessons

Keep the original problem visible while changing an expression. State why each step is allowed, then substitute your answer back into the original conditions.

Work at your own pace. Open a hint when you need it, then try again before revealing the complete explanation.

Grade labels are starting-point guides; school sequences vary. University lessons introduce selected topics and assume the prerequisites listed on each page.

Practice with a moving example

750 guided practice chapters for Grade 9.

Try a distinct question, open a hint, compare the worked solution, and explore its interactive animation. These scenario chapters give you more practice within this level’s topics.

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Teaching videos, chapter by chapter.

1 teaching video is available for this level. Find each recording with its exact matching lesson or practice question.

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Your Grade 9 lesson collection.

The lessons appear in their suggested study order. Choose the first lesson for a starting point, or use the search and subject filters to review a particular skill. Read the prerequisites whenever you change topics.