## Measuring Angles
12/12/2014
Unit Name: Measuring AnglesCommon Core State Standards:4.MD.6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.4.MD.7 Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.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 learn to reason using complementary angles. They will utilize this information in order to decompose (break apart) 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:Video support can be found on LearnZillion. · https://learnzillion.com/ o Introduction to protractors https://learnzillion.com/lessons/2907-introduction-to-protractors o Measure angles to the nearest 10 by reading a protractor https://learnzillion.com/lessons/3010-measure-angles-to-the-nearest-10-by-reading-a-protractor o Measure angles to the nearest degree with protractor https://learnzillion.com/lessons/2973-measure-angles-to-the-nearest-degree-with-protractors o Sketch angles that are multiples of 10 degrees using a protractor https://learnzillion.com/lessons/2913-sketch-angles-that-are-multiples-of-10-degrees-using-a-protractor o Sketch angles that are not multiples of 10 degrees using protractor https://learnzillion.com/lessons/3101-sketch-angles-that-are-not-multiples-of-10-degrees-using-a-protractor o Compose and decompose angles https://learnzillion.com/lessons/3270-compose-and-decompose-angles o Understand that angle measure is additive by decomposing https://learnzillion.com/lessons/3253-understand-that-angle-measure-is-additive-by-decomposing o Finding unknown angles using angle properties https://learnzillion.com/lessons/3254-find-unknown-angles-using-angle-properties o Find unknown angles using diagrams https://learnzillion.com/lessons/3402-find-unknown-angles-using-diagrams o Write an equation to solve for a missing angle measure https://learnzillion.com/lessons/3403-write-an-equation-to-solve-for-a-missing-angle-measure
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Unit Name:Lines and AnglesCommon Core State Standards:4.G.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.Essential Vocabulary:· lines · angle · point · line segment · ray · vertex/vertices · oblique · plane · perpendicular · parallel · line of symmetry · polygon · right angle · obtuse angle · acute angle Unit Overview:In this unit, students will be identifying angles and be able to explain/reason with different types of angles. This is the first time the students will be exposed to rays, angles, perpendicular and parallel lines. Strategies/Skills:Students will build on their understanding of geometric shapes and go further with a variety of properties. Students will model mastery of this concept through the following ways: · building · drawing · identifying · analyzing Video Support:Video support can be found on LearnZillion. · https://learnzillion.com/ o Draw points, lines, and line segments https://learnzillion.com/lessons/2346-draw-points-lines-and-line-segments o Classify and draw various types of angles https://learnzillion.com/lessons/2395-classify-and-draw-various-types-of-angles o Draw parallel and perpendicular lines https://learnzillion.com/lessons/2313-draw-parallel-and-perpendicular-lines o Label and name points, lines, rays and angles using math notation https://learnzillion.com/lessons/2416-label-and-name-points-lines-rays-and-angles-using-math-notation Unit Name:Relationship between Circles and Angles Common Core State Standards:4.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:Video support can be found on LearnZillion. · https://learnzillion.com/ o Measure full and half rotations https://learnzillion.com/lessons/2633-measure-full-and-half-rotations o Measure quarter and three quarter rotations https://learnzillion.com/lessons/2635-measure-quarter-and-threequarter-rotations o Understand and measure one-degree angles https://learnzillion.com/lessons/2586-understand-and-measure-onedegree-angles o Estimate 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-angles o Solve real world problems involving angle measurement https://learnzillion.com/lessons/2616-solve-real-world-problems-involving-angle-measurement |
## 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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