Grade 4 Math · Measurement and Geometry

Virginia SOL 4.MG.3

Virginia SOL 4.MG.3 is part of the Measurement and Geometry strand in Grade 4 Math (Math). Under this Standards of Learning objective, students develop and use formulas to solve problems involving area and perimeter of rectangles and squares. Below is what 4.MG.3 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 4.MG.3 for the Virginia SOL test.

What SOL 4.MG.3 means

Develop and use formulas to solve problems involving area and perimeter of rectangles and squares.

Practice Grade 4 Math SOL questions

Free Grade 4 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 4.MG.3 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

  1. 1. Columns of blocks are built so that each column has 2 more blocks than the one before it. 1st column: 4 blocks 2nd column: 6 blocks 3rd column: 8 blocks 4th column: 10 blocks How many blocks will the 5th column have?

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    Answer: C — 12

  2. 2. Look at the pattern: 2, 10, 18, __, 34, 42 What is the missing number?

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    Answer: B — 26

  3. 3. What number makes the number sentence true? 7 + (13 + 4) = (7 + __) + 4

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    Answer: B — 13

  4. 4. Which of the following best describes the difference (43,441 - 35,184)?

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    Answer: D — Closer to 8,000 than 7,000

→ Take the full free Grade 4 Math SOL practice test

Skills you’ll practice for 4.MG.3

  • Use concrete materials and pictorial models to develop formulas for the area and perimeter of a rectangle (including a square).
  • Determine the area and perimeter of a rectangle when given the measure of two adjacent sides, with and without models.
  • Determine the area and perimeter of a square when given the measure of one side, with and without models.
  • Explore the relationship between area and perimeter of rectangles using concrete materials and pictorial models.
  • Identify and represent rectangles with the same perimeter and different areas or with the same area and different perimeters.
  • Solve contextual problems involving area and perimeter of rectangles and squares.

Key concepts covered by 4.MG.3

  • area
  • perimeter
  • rectangle
  • square
  • concrete materials
  • pictorial models
  • adjacent sides
  • models
  • side length
  • rectangles
  • relationship
  • comparison
  • contextual problems
  • squares

How to study and practice SOL 4.MG.3

Start with a quick diagnostic to see whether 4.MG.3 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.

→ Take the free Grade 4 Math SOL practice test

  • 4.MG.1Solve problems involving length, weight/mass, and liquid volume using U.S. Customary and metric units.
  • 4.MG.2Solve single-step and multistep contextual problems involving elapsed time within a 12-hour period.
  • 4.MG.4Identify, describe, and draw points, rays, line segments, angles, and lines, including intersecting, parallel, and perpendicular lines.
  • 4.MG.5Classify and describe quadrilaterals using specific properties and attributes.
  • 4.MG.6Identify, describe, compare, and contrast plane and solid figures according to their characteristics.

Frequently asked questions about SOL 4.MG.3

What is Virginia SOL 4.MG.3?

SOL 4.MG.3 is a Grade 4 Math Standard of Learning in the Measurement and Geometry strand. It expects students to develop and use formulas to solve problems involving area and perimeter of rectangles and squares.

What skills does SOL 4.MG.3 cover?

SOL 4.MG.3 is assessed on 6 skills: use concrete materials and pictorial models to develop formulas for the area and perimeter of a rectangle (including a square); determine the area and perimeter of a rectangle when given the measure of two adjacent sides, with and without models; determine the area and perimeter of a square when given the measure of one side, with and without models; explore the relationship between area and perimeter of rectangles using concrete materials and pictorial models; identify and represent rectangles with the same perimeter and different areas or with the same area and different perimeters; solve contextual problems involving area and perimeter of rectangles and squares.

What strand of Grade 4 Math is SOL 4.MG.3 in?

SOL 4.MG.3 belongs to the Measurement and Geometry reporting strand of the Grade 4 Math Virginia Standards of Learning.

How do I study and practice for SOL 4.MG.3?

Start with a diagnostic to see whether 4.MG.3 is already solid, then work the 6 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.