Lesson Plan Industry Sector
Engineering & Architecture

Lesson Plan Originally Created By: Chris Sarenana

Understanding Degree, Minutes, and Seconds as Angles

Part of Unit: Measurements

Lesson Plan Overview / Details

The concept of this lesson was created to help students improve instinctive math skills. Students learning will include understanding common measurements using angles in degrees, minutes, and seconds and  decimal degree. Make conversions from decimal degree to degree, minutes, and seconds. Students will also learn to plot a property line using bearings inside a circle. How these math skills are used in the industry to design our highways, roads, and streets.

Lesson Time

55 Minutes

Objectives and Goals

  • Students will learn to change degrees to decimals of a degree. Adding and subtracting angles to find the difference in the measurements of two angles. Know how the protractor is used to measure angles on paper and how a transit is used by surveyors to measure angles in the field.
  • Provide information based on real world situations and understand how people in general use math in their every day life.
  • Understand symbols that are used for degree, minutes, and seconds.
  • Students will provide correct answers from worksheet provided.

Activities in this Lesson

  • To begin this lesson, the teacher will provide information how people in the industry use math in their everyday life. the teacher will show the various videos below to help students understanding how angles are used in the real world.

    A picture showing a plot plan with degrees and minutes will help students in understanding how engineers use this information to determine the bearing and size of a piece of property.

    This activity will also tap into prior knowledge as in some cases a students father may work in the industry either in construction, engineering, municipal and or government.

    Resources and Materials

  • in this activity the teacher will show the different types of engineering symbols and how there are two different ways they can show degrees. One is Decimal measurement and the second is degree, minutes, and seconds.

    To further help students understand measure of angles, a sheet (Measure of Angles) shows the different symbols used for degree, minutes and seconds. Students will also understand that the protractor is used to measure angles on paper; while the transit is used to measures angles in the field.  

    Additional information will include converting degree, minutes, and seconds to decimal and changing decimal to degree, minutes and seconds. Instruction and sample problems will be delivered by the teacher using whiteboard and/or media.

    Resources and Materials

    • Measure of Angles [ Download ] Engineering Symbols for Degree, Minutes and Seconds
    • Video- Surveyors [ Watch Video ] [ Download Original Video ] Showing Surveyor working from start to finish
    • Protractor [ Watch Video ] [ Download Original Video ] Using a Protractor on Paper to determine angles
    • Degree and Decimals Sht. 1 [ Download ] Understanding Degree, Minutes, and Seconds & Decimals
    • Degree and Decimals Sht 2 [ Download ] Understanding Degree and Decimals
    • How to make Degree Conversions [ Download ]
  • To check for understanding two problem sheets will be used. Materials required for each student will be worksheets, calculator, protractor, scrap paper, and a pencil.

    The first worksheet requires student to use a protractor to plot property line directions on the circle provided.

    The second worksheet requires students to apply degree conversions. This includes changing Angle to Decimal Degree and changing Decimal to Degree, minutes, and Seconds.

    Resources and Materials

    • Bearing Worksheet [ Download ] Student worksheet to figure bearings
    • Degree Conversion [ Download ] Student worksheet for degree conversion


Assessment Types:
Demonstrations, Observations, problem worksheets
  • After instruction students will produce answers from worksheets and all students will produce proper answers to each query and prove their understanding of the the content.
  • When a student completes an assignment that doesn't meet the expected criteria, give him or her feedback and additional time to complete the task correctly.
  • Students will understand symbols used in engineering and will know the difference between protractor and/or a transit used by surveyors. 
  • Students will know how to convert degree to decimal and/or decimal to degree.
  • Students will know how to plot property line using bearings in a circle.