5.3.I
The Standard
represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use objects or drawings to show repeated groups of the same fraction. They connect the model to a multiplication equation and find the product.
What Mastery Looks Like
- Given 4 × 2/3, a student draws four equal wholes, divides each into thirds, and shades two thirds in each. The student finds 8/3, or 2 2/3, and explains how the model matches the equation.
Common Misconceptions
- Students may multiply both the numerator and denominator, writing 4 × 2/3 as 8/12. They may also divide several wholes into unequal parts or shade the fraction only once.
How to Assess It
- Use this exit ticket: Draw an area model for 3 × 3/4, label each factor, and write the product as a fraction or mixed number.
Lesson moves
Ways to Teach It
Give students four paper rectangles, have them fold each into thirds, shade two thirds, combine the shaded pieces, and write an equation.
Ask, "How does the model show both 5 and 2/3 in 5 × 2/3?" Students label and explain each factor.
Play Model Match with cards showing equations, area models, and products, then have pairs justify each matching set.
Present a recipe using 3/4 cup of oats per batch, and have students model the oats needed for four batches.
Keep exploring
Related Standards
- 4.3.E
represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and propertie...
- 5.3.J
represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction such as 1/3 ÷ 7 and 7 ÷ 1/3 using objects and pict...
- 5.3.H
represent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and propertie...
- 5.3.D
represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models
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