## Relationship between Circles and Angles
12/7/2015
Unit Name: Relationship between Circles and Angles4.MD.5 Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: a. 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. b. An angle that turns through n one-degree angles is said to have an angle measure of n degrees.Essential Vocabulary: lines angle point line segment ray vertex/vertices measure point end point geometric shapes ray angle circle fraction intersect one-degree angle protractor decompose addition subtraction unknown complementary angles Unit Overview:In this unit, students will be exposed to measuring angles for the first time. Angle measure is a "turning point" in the study of geometry. Students often find angles and angle measure to be difficult concepts to learn, but that learning allows them to engage in interesting and important mathematics. Students will learn that a circle is made up of 360 one-degree angles. Students will need to reason with complementary angles. They will need to utilize this information in order to break angles into smaller angles. For example a 40 degree angle = 40 one-degree angles = 25 degree angle + 15 degree angle, etc. In addition, students will learn how to use a protractor as a tool within this unit. Strategies/Skills:Students will build on their understanding of geometric shapes and go further with identifying and measuring angles. Students will model mastery of this concept through the following ways: building drawing identifying analyzing Video Support:Measure full and half rotations https://learnzillion.com/lessons/2633-measure-full-and-half-rotationsMeasure quarter and three quarter rotations https://learnzillion.com/lessons/2635-measure-quarter-and-threequarter-rotationsUnderstand and measure one-degree angles https://learnzillion.com/lessons/2586-understand-and-measure-onedegree-anglesEstimate the measure of an angle using benchmark and one-degree angles https://learnzillion.com/lessons/2766-estimate-the-measure-of-an-angle-using-benchmark-and-onedegree-anglesSolve real world problems involving angle measurement https://learnzillion.com/lessons/2616-solve-real-world-problems-involving-angle-measurement Questions to Ask When Helping Your Child with Math HomeworkKeep in mind that homework in elementary schools is designed as practice. If your child is having problems, please let the classroom teacher know. When helping your child with his/her math homework, you don’t have to know all the answers! Instead, we encourage you to ask probing questions so your child can work through the challenges independently. What is the problem you’re working on? What do the directions say? What do you already know that can help you solve the problem? What have you done so far and where are you stuck? Where can we find help in your notes? Are there manipulatives, pictures, or models that would help? Can you explain what you did in class today? Did your teacher work examples that you could use? Can you go onto another problem & come back to this one later? Can you mark this problem so you can ask the teacher for an explanation tomorrow?
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## Mrs. Ana RhyneI teach 4th grade math and science at Weatherstone Elementary School. I graduated from Meredith College with a BA in Spanish and K-6 licensure. ## Archives
May 2016
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