30 free lessons · Worked examples and practice

Grade 5 math

Bring fractions, decimals, and whole-number operations together in practical problems. Explore volume, coordinates, and patterns while learning to explain the steps in a longer solution.

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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.

Calculate with fractions and decimals
Interpret coordinates, volume, and patterns
Check multi-step numerical reasoning

Before you begin

Review place value, multiplication and division, and equivalent fractions. If a denominator or decimal place is confusing, return to a visual model before continuing.

Review Grade 4

How to study these lessons

Break the question into smaller decisions. After each calculation, write a sentence explaining what that quantity represents in the original problem.

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 5.

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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Your Grade 5 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.