Decimal Degree and Degree-Minute-Second Form There are two basic forms for expressing degrees: 1. Decimal Degrees (DD) 2. Degree-Minute-Second (DMS) An.

Slides:



Advertisements
Similar presentations
Trigonometry: Angles Objectives of this Presentation: Build basic definitions of angles as built on the coordinate plane. Learn how to measure both positive.
Advertisements

Unit 20 ANGULAR MEASURE.
+ Section 4-1: Right Triangle Trigonometry and Section 4-2: Degrees and Radians Tuesday, November 11 th.
Angles and Radian Measure. 4.1 – Angles and Radian Measure An angle is formed by rotating a ray around its endpoint. The original position of the ray.
Section 4.1 Angles and Radian Measure. The Vocabulary of Angles An angle is formed by two rays that have a common endpoint. One ray is called the initial.
Measurement MA418 – Spring 2010 McAllister. Ruler Postulate (p. 41) Every line can be made into an exact copy of the real number line using a 1-1 correspondence.
Converting Between the 3 Latitude and Longitude Formats.
Radians and Angles Welcome to Trigonometry!! Starring The Coterminal Angles Supp & Comp Angles The Converter And introducing… Angles Rad Radian Degree.
Section5.1 Angles and Their Measure. Angles Measuring Angles Using Degrees.
3.1 Radian Measure OBJ: Convert degree measure to radian measure Find trig values of angles expressed in radian measure.
Degrees Minutes & Seconds 360 ° in a circle 1° = 1/360 of a circle 1’ = 1/60 of one degree 1” = 1/60 of one minute 1° = 60 minutes or 3600 seconds.
Radian and Degree Measure Objectives: Describe Angles Use Radian and Degree measures.
Chapter 6: Trigonometry 6.1: Right-Triangle Trigonometry
AGENDA: DG minutes10 minutes Notes Lesson 2 Unit 5 DG 17 Mon.
6.1Right-Triangle Trigonometry Objectives: 1. Define the six trigonometric ratios of an acute angle in terms of a right triangle. 2. Evaluate trigonometric.
By the end of this lesson you will be able to explain/calculate the following: 1. Fractions on your calculator 2. Converting fractions to decimals 3. Converting.
Unit 1, Lesson 1 Angles and their Measures. What is an angle? Two rays with the same Endpoint.
Decimals and Fractions
1 DMS, Radian, & Coterminal Test Review To convert decimal degrees, DMS, degrees, radians, find coterminal angles, and add, subtract DMS Sam.
Angles An angle is formed by two rays that have a common endpoint called the vertex. One ray is called the initial side and the other the terminal side.
Coming up Get the point?!. 2 Decimals You see them all around For instance in money!... Can you think of any more examples? In pairs: List as many.
Warm-Up 3/26 Fahrenheit. Rigor: You will learn how to convert from degrees to radians and radians to degrees. Relevance: You will be able to solve real.
Radians Introduction and Conversion of Angles. Mathematicians use a unit of measurement called radians to measure angles. Why you ask? Degrees & radians.
Copyright © 2011 Pearson, Inc. 4.1 Angles and Their Measures.
Quick Crisp Review Radian Coterminal Angles Complementary and Supplementary.
Expressas a decimal. Expressas a decimal. How to Convert Fractions to Decimals This is the hundredths place so the 3 needs to be in the hundredths.
Topic 1 Essential Question: How are whole numbers and decimals written, compared, and ordered?
Unit 1 – Degrees Decimals and Degrees, Minutes, Seconds (DMS) Conversions, and Unit Conversions -You will be able to convert from degrees decimals to degrees,
Section 1 – Trigonometry and the Graphing Calculator After this section, you should be able to show that you can: Know the SIX trig. functions Change degree-minutes.
PARTS OF ANGLES AND DMS Fall, 2015 Dr. Shildneck.
7.1 Angles and Their Measure
4.1 Radian and Degree Measure (part 2) V. Evaluating degrees° minutes’ seconds” (D°M’S”) A) The distance between two degrees (ex: 15°& 16°) can be 1) divided.
7.1 Measurement of Angles -If you leave this class with anything this year, it will be a better understanding of sine/cosine/tangent and angle measurments.
To access the angle features, you need the angle button…
8.4 Trigonometry In Right triangles. A. Express sin L, cos L, and tan L as a fraction and as a decimal to the nearest ten thousandth.
Rounding Decimals using Place Value.. Essential Question: How can I use place value understanding to round decimals to any place?
Trigonometry Section 7.1 Find measures of angles and coterminal angle in degrees and radians Trigonometry means “triangle measurement”. There are two types.
Table of Contents 1. Angles and their Measures. Angles and their Measures Essential question – What is the vocabulary we will need for trigonometry?
Lesson 5-1 Angles and Degree Measure Objective: To convert decimal degrees to measure degrees. To find the number of degrees in a given number of rotations.
Binary Numbers Practice.
ConversionsConversions Decimals to Fractions and Fractions to Decimals.
How to make Degree Conversions Things that you will need Pencil Pencil Paper Paper Scientific Calculator Scientific Calculator.
Table of Contents 1. Angles and their Measures. Angles and their Measures Essential question – What is the vocabulary we will need for trigonometry?
1 To Add, Subtract in DMS & Convert Between DMS and Decimal Degrees “Character cannot be developed in ease and quiet. Only through experience of trial.
Students will be able to…
Radian and Degree Measure
4.1 – Angles on the TI-83+ calculator
Convert to a Percent %.
5.1 Angles and Degree Measure
TEMPERATURE CONVERSION
First, convert 0.125° into minutes and seconds.
Converting Decimals to Fractions
Angles and Their Measures
There are 10 types of people of people in this world…
T1.1b To Convert Between DMS and Decimal
Chapter 5 – Trigonometric Functions
Starter Questions Convert the following to minutes :-
Conversions Decimals to Fractions and Fractions to Decimals.
6.1 Angles and Their Measure
5 Minute Math Use or = to complete the following: 517 _____ 571 2,831 _____ 2,331 5,575 _____ 55,475 Solve the following: 2/7 x 5 One fourth times.
Remember the 10 types of people of people in this world…
Conversions Decimals to Fractions and Fractions to Decimals.
Percentage Conversion
Conversions Decimals to Fractions and Fractions to Decimals.
Conversions Decimals to Fractions and Fractions to Decimals.
Express the fraction to decimal.
Trigonometric Ratios Geometry.
EQ: How do you convert angle measures in
Students will be able to round decimals (3-4).
Algebra 2 Mr. Peter Richard
Presentation transcript:

Decimal Degree and Degree-Minute-Second Form There are two basic forms for expressing degrees: 1. Decimal Degrees (DD) 2. Degree-Minute-Second (DMS) An essential skill in Trigonometry is to be able to convert from DD to DMS and from DMS to DD.

Basic Conversions 1 degree = 60 minutes 1 minute = 60 seconds 1 degree = 3600 seconds

Convert DD to DMS  Example 1: Convert 0.5° to Minutes 0.5 Degrees 1 degree = 60 minutes 30 minutes

 Example 2: Convert ° to Degree-Minute-Second form degrees 1 degree = 60 minutes 38 degrees, minutes

1 minute = 60 seconds 38 degrees, 25 minutes, 37.2 seconds

Convert DMS to DD  Example 3: Convert 30' to Degrees 30 Minutes 1 minute= 1/60 of 1 degree 0.5 degrees

 Example 4: Convert 28°32'45“ to Decimal Degree form 28 degrees, 32 minutes, 45 seconds 1 minute = 1/60 degree 1 second = 1/3600 degree degrees (thousandth)