3.3.E
The Standard
solve problems involving partitioning an object or a set of objects among two or more recipients using pictorial representations of fractions with denominators of 2, 3, 4, 6, and 8
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students share one item or several items equally among a given number of people. They draw the sharing, then name one person’s share with a fraction. They work with halves, thirds, fourths, sixths, and eighths.
What Mastery Looks Like
- A student draws equal-sized parts, gives each recipient the same total amount, and labels each share correctly. The student can handle cases where every whole must be cut, such as three bars shared by four children.
Common Misconceptions
- Students may use the number of objects as the denominator instead of the number of equal parts in each whole. They may count cut lines instead of sections. They may also leave extra pieces undistributed or make unequal shares.
How to Assess It
- Give this exit ticket: “Three granola bars are shared equally among four children. Draw the sharing, shade one child’s share, and label that share.”
Lesson moves
Ways to Teach It
Give groups three paper sandwich strips and four name cards, then have them cut and place equal shares on each card.
Show two drawings of two pizzas shared by four children, and ask, “Which drawing proves each child gets one-half, and why?”
Students draw item and recipient cards, sketch the fair share on whiteboards, and earn a point when partners agree on the fraction.
Plan how one sheet cake can be shared among eight guests, then sketch equal pieces and label each guest’s portion.
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...
- 3.3.F
represent equivalent fractions with denominators of 2, 3, 4, 6, and 8 using a variety of objects and pictorial models, including number lines
- 3.3.A
represent fractions greater than zero and less than or equal to one with denominators of 2, 3, 4, 6, and 8 using concrete objects and pictorial models, includin...
- 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...
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