Virginia SOL 5.MG.2.f
The Standard
Identify whether the application of the concept of perimeter, area, or volume is appropriate for a given situation.
Virginia Standards of Learning for Mathematics · The student will use multiple representations to solve problems, including those in context, involving perimeter, area, and volume.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students determine whether a situation involves measuring a boundary, covering a surface, or filling a three-dimensional space. They select perimeter, area, or volume and explain why it fits.
What Mastery Looks Like
- Students correctly match border or distance-around questions with perimeter, surface-covering questions with area, and space-inside questions with volume. They justify each choice using details from the situation.
Common Misconceptions
- Students may choose perimeter whenever a shape is shown, even when the question asks about covering its surface. They may also confuse area with volume or assume every measurement problem requires calculation.
How to Assess It
- Use an exit ticket with three situations: fencing a garden, tiling a floor, and filling a box. Students label each perimeter, area, or volume and explain one choice.
Lesson moves
Ways to Teach It
Give groups string, grid paper, and cubes to model fencing a garden, covering a floor, and filling a box.
Ask students to explain which measurement a painter, fence builder, and shipping clerk would use and why.
Play a sorting game with situation cards labeled perimeter, area, or volume, then have partners defend any disputed placements.
Compare plans for buying garden edging, grass seed, and soil, and identify the measurement needed for each purchase.
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Related Standards
- 5.MG.2.g
Solve contextual problems that involve perimeter, area, and volume in standard units of measure.
- 4.MG.3.f
Solve contextual problems involving area and perimeter of rectangles and squares.
- 8.MG.5.c
Apply perimeter, circumference, and area formulas to solve contextual problems involving composite plane figures.
- 7.MG.1.c
Determine if a problem in context, involving a rectangular prism or right cylinder, represents the application of volume or surface area.
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