Virginia SOL 4.MG.3.c
The Standard
Determine the area and perimeter of a square when given the measure of one side (in whole number units), with and without models.
Virginia Standards of Learning for Mathematics · The student will use multiple representations to develop and use formulas to solve problems, including those in context, involving area and perimeter limited to rectangles and squares (in both U.S. Customary and metric units).
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use one known side length to calculate the space inside a square and the distance around it. They multiply side by side for area and multiply the side by four for perimeter. They use the correct units for each answer.
What Mastery Looks Like
- Students can calculate both measures from one side length, with or without a drawing. They choose the correct operation, show their work, and label square units and linear units correctly.
Common Misconceptions
- Students may use side times side for both measures, or multiply the side by two for perimeter. They may also label area with linear units or perimeter with square units.
How to Assess It
- Exit ticket: A square garden has a side length of 9 feet. Find its area and perimeter, include units, and show each calculation.
Lesson moves
Ways to Teach It
Build squares with unit tiles, record each side length, then compare the tile count with the total length around each square.
Students write why area uses square units while perimeter uses linear units, using a labeled 6-by-6 square.
Play Square Match with cards showing side lengths, area values, and perimeter values, and have teams form correct sets.
Give a square sandbox design with one side length, then calculate the border material and surface covering needed.
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Related Standards
- 4.MG.3.b
Determine the area and perimeter of a rectangle when given the measure of two adjacent sides (in whole number units), with and without models.
- 4.MG.3.d
Use concrete materials and pictorial models to explore the relationship between area and perimeter of rectangles.
- 4.MG.3.a
Use concrete materials and pictorial models to develop a formula for the area and perimeter of a rectangle (including a square).
- 3.MG.2.a.ii
estimate and determine the area of a given surface by counting the number of square units, describe the measurement (using the number and unit) and justify the ...
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