Virginia SOL 5.CE.2.d
The Standard
Solve single-step contextual problems involving multiplication of a whole number, limited to 12 or less, and a proper fraction (e.g., 9 × 2 3 , 8 × 3 4 ), with models. The denominator will be a factor of the whole number and answers should be expressed in simplest form.*
Virginia Standards of Learning for Mathematics · The student will estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using addition and subtraction of fractions with like and unlike denominators (with and without models), and solve single-step contextual problems involving multiplication of a whole number and a proper fraction, with models.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find the total when a whole-number number of equal groups each contains a proper fraction. They use a model, regroup fractional parts into wholes, and give the answer in simplest form.
What Mastery Looks Like
- A student can solve a one-step story and draw equal groups with fraction strips, a tape diagram, or a number line. The student regroups fractional parts into wholes, simplifies the answer, and labels it with the correct unit.
Common Misconceptions
- Students may multiply both the numerator and denominator, writing 8 × 3/4 as 24/32. Some add 8 and 3/4 because they miss the meaning of “each.” Others stop at 24/4 instead of simplifying to 6.
How to Assess It
- Exit ticket: Eight jars each hold 3/4 liter of juice. Draw a model, find the total amount, and write the answer in simplest form.
Lesson moves
Ways to Teach It
Use fraction strips to build eight groups of 3/4, then trade every four fourths for one whole and record the product.
Have students explain in writing why nine groups of 2/3 equal six, using a labeled tape diagram as evidence.
Play a matching game with context cards, fraction models, and simplified products, including distractors that multiply both numerator and denominator.
Plan snack bags containing 3/4 cup each, and use a drawing to find the oats needed for eight bags.
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Printable 5.CE.2.d Worksheet
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Related Standards
- 4.CE.3.c
Solve single-step contextual problems involving multiplication of a whole number, limited to 12 or less, and a unit fraction (e.g., 6 × 1 3 , 1 5 × 8, 2 × 1 10 ...
- 4.CE.3.b
Estimate, represent, solve, and justify solutions to single-step contextual problems using addition and subtraction with fractions (proper or improper) and/or m...
- 2.CE.1.c
Represent, solve, and justify solutions to single-step and multistep contextual problems (e.g., join, separate, part-part-whole, comparison) involving addition ...
- 5.CE.2.c
Estimate and solve single-step and multistep contextual problems involving addition and subtraction with fractions (proper or improper) and/or mixed numbers hav...
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