Grade 5 Math · Measurement and Geometry

Virginia SOL 5.MG.3

Virginia SOL 5.MG.3 is part of the Measurement and Geometry strand in Grade 5 Math (Math). Under this Standards of Learning objective, students classify and measure angles and triangles, and solve problems involving angles. Below is what 5.MG.3 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 5.MG.3 for the Virginia SOL test.

What SOL 5.MG.3 means

Classify and measure angles and triangles, and solve problems involving angles.

Practice Grade 5 Math SOL questions

Free Grade 5 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 5.MG.3 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

  1. 1. Gas prices at five locations were approximately: #1: $1.45 #2: $1.60 #3: $1.70 #4: $1.85 #5: $1.82 Which is closest to the price at location #5?

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    Answer: A — $1.82

  2. 2. A number machine changes inputs as follows: Input 8 → Output 17 Input 6 → Output 13 Input 3 → Output 7 Which rule could the machine be using?

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    Answer: B — Multiply by 2, then add 1

  3. 3. On a number line marked 90, 91, 92, 93, 94, and 95, point Z is just left of 93. Which number best describes the location of point Z?

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    Answer: J — 93

  4. 4. The numbers on race cards follow this pattern: 75, 77, 80, 84, 89, ___. What is the next number?

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    Answer: C — 95

→ Take the full free Grade 5 Math SOL practice test

Skills you’ll practice for 5.MG.3

  • Classify angles as right, acute, obtuse, or straight and justify reasoning.
  • Classify triangles as right, acute, or obtuse and equilateral, scalene, or isosceles and justify reasoning.
  • Identify congruent sides and right angles using geometric markings to denote properties of triangles.
  • Compare and contrast the properties of triangles.
  • Identify appropriate tools (protractor, straightedge, angle ruler, technology) to measure and draw angles.
  • Measure right, acute, obtuse, and straight angles using appropriate tools and identify measures in degrees.
  • Use models to prove that the sum of the interior angles of a triangle is 180 degrees and determine an unknown angle measure in a triangle.
  • Solve addition and subtraction contextual problems to determine unknown angle measures on a diagram.

Key concepts covered by 5.MG.3

  • classify
  • angles
  • right angles
  • acute angles
  • obtuse angles
  • straight angles
  • justify reasoning
  • triangles
  • right triangles
  • acute triangles
  • obtuse triangles
  • equilateral triangles
  • scalene triangles
  • isosceles triangles
  • identify
  • congruent sides
  • geometric markings
  • properties of triangles
  • compare
  • contrast
  • tools
  • measure
  • draw
  • protractor
  • straightedge
  • angle ruler
  • technology
  • degrees
  • use models
  • prove
  • sum of interior angles
  • triangle
  • 180 degrees
  • determine
  • unknown angle measure
  • solve
  • addition
  • subtraction
  • contextual problems
  • unknown angle measures
  • diagram

How to study and practice SOL 5.MG.3

Start with a quick diagnostic to see whether 5.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 5 Math SOL practice test

  • 5.MG.1Solve problems involving length, mass, and liquid volume using metric units.
  • 5.MG.2Solve problems involving perimeter, area, and volume using multiple representations.

Frequently asked questions about SOL 5.MG.3

What is Virginia SOL 5.MG.3?

SOL 5.MG.3 is a Grade 5 Math Standard of Learning in the Measurement and Geometry strand. It expects students to classify and measure angles and triangles, and solve problems involving angles.

What skills does SOL 5.MG.3 cover?

SOL 5.MG.3 is assessed on 8 skills: classify angles as right, acute, obtuse, or straight and justify reasoning; classify triangles as right, acute, or obtuse and equilateral, scalene, or isosceles and justify reasoning; identify congruent sides and right angles using geometric markings to denote properties of triangles; compare and contrast the properties of triangles; identify appropriate tools (protractor, straightedge, angle ruler, technology) to measure and draw angles; measure right, acute, obtuse, and straight angles using appropriate tools and identify measures in degrees; use models to prove that the sum of the interior angles of a triangle is 180 degrees and determine an unknown angle measure in a triangle; solve addition and subtraction contextual problems to determine unknown angle measures on a diagram.

What strand of Grade 5 Math is SOL 5.MG.3 in?

SOL 5.MG.3 belongs to the Measurement and Geometry reporting strand of the Grade 5 Math Virginia Standards of Learning.

How do I study and practice for SOL 5.MG.3?

Start with a diagnostic to see whether 5.MG.3 is already solid, then work the 8 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.