4.MD.5 - About the Math, Learning Targets, and Rigor

Grade 4 Measurement and Data

4.MD.5

Full Standard

Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:

  1. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles.
  2. An angle that turns through n one-degree angles is said to have an angle measure of n degrees.

 

Measurement Topic

This standard is reported on the report card in these quarters as follows:

4th Grade Students Learning 4th Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

 

 

Report Card Measurement Topic: Demonstrates understanding of measurement and geometry.

3rd Grade Students Learning 4th Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

 

 

Report Card Measurement Topic: Demonstrates understanding of measurement, data and geometry.

 

Learning Targets

  • Describe an angle.
  • Describe an angle's relationship to a circle.
  • Explain how to measure an angle.

 

About the Math

An angle is the union of two rays with a common endpoint. The common endpoint is called a vertex. Angles are measured in degrees from 0 to 360. One complete rotation is 360 degrees. Angles have special names based on their degree measures. An acute angle is less than 90 degrees. An obtuse angle is more than 90 degrees. An angle that measures exactly 90 degrees is called a right angle and it looks like a square corner. The measurement of an angle depends upon the fraction of the circle cut off by the rays. The degree measure of an angle can be estimated by comparing it to 90 degrees as more or less than 90 degrees. To find the exact measurement, students need to use a protractor. Essential vocabulary for this standard includes: angle, ray, endpoint, vertex, degree, acute, obtuse, right, and straight. Visit the (online dictionary Links to an external site.) for vocabulary support.

 

 

Progression of Standard within Grade 4

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4
   

 

  • Describe what an angle.
  • Describe an angle's relationship to a circle.
  • Explain how to measure an angle.

 

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.

Progression Across Grades
Grade 3 Grade 7

This concept is not taught prior to grade 4.

  • Use  facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure (7.G.B.5)

 

 

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