1. Make sense of problems and persevere in solving them.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
Geometric measurement: understand concepts of angle and measure angles.
Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
Common Core State Standards: ELA
Production and Distribution of Writing
With some guidance and support from adults, use technology, including the Internet, to produce and publish writing as well as to interact and collaborate with others; demonstrate sufficient command of keyboarding skills to type a minimum of one page in a single sitting.
Arizona Educational Technology Standards (2009)
- Collaboration and Creativity
- Concept 2: Digital Solutions
- PO 1: Contribute to a cooperative learning project and demonstrate effective group behaviors while using collaborative digital resources
- Technology Operations and Concepts
- Concept 1: Understanding
- PO 3: Choose technology applications for given activity/project
- Concept 4: Transfer of Knowledge
- PO 1: Transfer understanding of current input/output devices and symbols to learn new technologies
- Students will identify angles as acute, obtuse or right
- Students will identify angles in everyday shapes and objects.
- Students will use a drawing or word processing software to draw the angles in the pictures
- Students will contribute their favorite picture to a collaborative class book of “Angles All Around Us.”
- Key Terms
- acute angle: An angle whose measure is less than 90 degrees
- obtuse angle: An angle whose measure is greater than 90 degrees
- right angle: An angle of 90 degrees
- Introduce geometry terms of acute, obtuse and right angle.
- Have students record key terms in their math notebook.
- Draw angles on board, measuring with a teacher protractor.
- Explain how we use degrees to measure angles
- Explain how important 90 degrees is in geometry
- Have students stand and use their arms to demonstrate the measurement of 90 degrees.
- Students will also demonstrate what each angle; obtuse, right, and acute looks like with their arms.
- Teacher will show movie from Discovery Streaming: The Assistant Professor: All about Angles, 17 minutes. (May want to show only specific segments.)
- Optional Extension: Have students find other video clips with examples of angles, using a teacher Custom Search Engine.
- Discuss questions: Is math all around us? Even in this room or your bedroom? Where can we find it? Is it in the angles of various objects? Look at the bookshelf or the wall.
- Divide students into small equal groups of 2-3, which will be dependent on how many digital cameras you have.
- Modification: If you do not have enough cameras or mobile devices with a camera for the class, this activity may be done with one camera. Students can identify the object with the angle and the teacher with one camera can choose who is going to take the picture and record the information.
- Explain the jobs of the each student.
- Photographer-takes picture
- Scout-officially “OK’s” the angle for the picture
- Recorder-records the angle and the location
- Teacher or student “expert” will review how to handle/take pictures with cameras.
- Teacher takes classroom groups outside to allow students to explore the playground for acute, obtuse and right angles.
- Students will be given 20 minutes.
- At the end of 20 minutes, teacher notifies students to return to room.
- Students continue working in teams upload angle shapes photos to computers
- Student teams will open either a drawing software application or another drawing web tool of their choice and import one picture at a time to separate pages. If possible, students can insert more than one picture to a page.
- Students will trace the obtuse, right or acute shape in the pictures that they saw on the playground the period before.
- Students will insert text to label each angle.
- Student teams will discuss and decide on their one best angle picture to share with the class and contribute to the collaborative class book “Angles All Around Us.”
- Class book can be created collaboratively as a digital book with a wiki or a publishing site or as paper book with iPhoto or a slide presentation application or another tool of student choice.
- Independent Activity:
- Student can play an interactive activity reinforcing right, obtuse and acute angles.
- Student laptops/computers
- Teacher Protractor
- Digital Cameras or mobile devices with cameras
- Camera cables/Card Reader(s)
- Word processing application or Presentation application (PowerPoint or Keynote) or Web tool presentation (Google Presentations, Slide Rocket sliderocket.com/, Prezi prezi.com)
Wiki: Google Sites sites.google.com PBWorks pbworks.com/education or Wikispaces wikispaces.com/; You Publisher youblisher.com/