Virginia SOL 6.CE.1.b
The Standard
Multiply and divide fractions (proper or improper) and mixed numbers that include denominators of 12 or less. Answers are expressed in simplest form.*
Virginia Standards of Learning for Mathematics · The student will estimate, demonstrate, solve, and justify solutions to problems using operations with fractions and mixed numbers, including those in context.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find products and quotients involving fractional quantities and mixed amounts. They rewrite mixed numbers as improper fractions when useful, use reciprocals for division, and reduce results to lowest terms.
What Mastery Looks Like
- A student selects multiplication or division from a short context and writes the matching equation. They compute accurately, reduce the result, and justify it with a model or inverse operation.
Common Misconceptions
- Students may multiply whole-number and fraction parts separately instead of converting mixed numbers first. In division, they may invert the first number, invert both numbers, or divide straight across. They may also stop with a reducible answer.
How to Assess It
- Exit ticket: Compute 2 1/4 × 1 1/3 and 2 1/4 ÷ 3/4. Show your conversions and simplify both answers.
Lesson moves
Ways to Teach It
Use fraction strips to build 1 1/2 ÷ 3/4, then sketch the model and connect it to the quotient.
Ask students to explain why dividing the same positive number by 2/3 gives a larger result than dividing it by 3/2.
Play a card sort matching fraction and mixed-number problems to correct products or quotients in simplest form.
Have students scale a recipe by 1 1/2 and divide the new batch into 3/4-cup servings.
Free download
Printable 6.CE.1.b Worksheet
A ready-to-print activity worksheet aligned to 6.CE.1.b, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- 6.CE.1.d
Estimate, determine, and justify the solution to single-step and multistep problems in context that involve addition and subtraction with fractions (proper or i...
- 4.NS.3.d
Compare two fractions (proper or improper) and/or mixed numbers using fractions with denominators of 12 or less, using the symbols >, <, and = (e.g., 2 3 > 1 7 ...
- 6.CE.1.e
Estimate, determine, and justify the solution to single-step and multistep problems in context that involve multiplication and division with fractions (proper o...
- 4.NS.3.f
Compose and decompose fractions (proper and improper) and/or mixed numbers with denominators of 12 or less, in multiple ways, with and without models.*
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.