Virginia SOL 6.CE.1.a
The Standard
Demonstrate/model multiplication and division of fractions (proper or improper) and mixed numbers using multiple representations.*
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 use objects, drawings, number lines, and equations to show fraction multiplication and division. They solve with proper fractions, improper fractions, and mixed numbers, then explain how each representation matches the calculation.
What Mastery Looks Like
- Students accurately find products and quotients involving proper fractions, improper fractions, and mixed numbers. They connect fraction strips, area models, or number lines to equations and explain what the answer means.
Common Misconceptions
- Students may invert the first fraction instead of the divisor, or use the division rule when multiplying. They may treat mixed numbers as whole numbers with separate fractions or draw models that do not use equal-sized parts.
How to Assess It
- Give students 1 1/2 ÷ 3/4. Ask them to solve it with fraction strips or a drawing, write an equation, and explain how the model matches the answer.
Lesson moves
Ways to Teach It
Give pairs fraction strips to build 1 1/2 ÷ 3/4, then sketch the strips and write the matching equation.
Ask students to explain why 2/3 × 3/4 is less than both factors, using an area model as evidence.
Play Model Match with cards showing equations, area models, number lines, and answers; students collect sets representing the same calculation.
Have students scale a recipe to 3/4 of 1 1/2 batches, then show the calculation with a diagram and equation.
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Printable 6.CE.1.a Worksheet
A ready-to-print activity worksheet aligned to 6.CE.1.a, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
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Related Standards
- 4.NS.5.b
Identify and model equivalent relationships between fractions (proper or improper) and/or mixed numbers and decimals, using halves, fourths, fifths, tenths, and...
- 4.NS.5.a
Represent fractions (proper or improper) and/or mixed numbers as decimals through hundredths, using multiple representations, limited to halves, fourths, fifths...
- 6.NS.1.c
Represent and determine equivalencies among fractions (proper or improper) and mixed numbers that have denominators that are 12 or less or factors of 100 and pe...
- 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.*
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