Understanding By Design Unit Template (Prepared for EDCP 340) Title of Unit Subject Developed By Geometry Grade Level 6 Math Time Frame 3x 50 min (1 week) March 31st – April 3rd Teala Mackowetsky Stage 1 - Identify Desired Results IRP Prescribed Learning Outcome(s) What relevant goal(s) will this unit address? C1 demonstrate an understanding of angles by: - identifying examples of angles in the environment - classifying angles according to their measure - estimating the measure of angles using 45°, 90°, and 180° as reference angles determining angle measures in degrees - drawing and labeling angles when the measure is specified Understandings What understandings about the big ideas implied in the PLO(s) are desired? Essential Questions What provocative questions will foster inquiry into the content? Students will understand that... Where would you find angles in everyday life? Why are angles important? Why would we look at triangles before looking at angles? Knowledge: What knowledge will student acquire as a result of this unit? Skills What skills will students acquire as a result of this unit? Students will know... Students will be able to… -There are 4 different types of triangles (Equilateral, Scalene, isosceles, and right angle) where you would find them in the real world -There are 3 types of angles (Acute, Obtuse and Right Angle, straight, reflex) where you would find them in the real world Define: Equilateral, scalene, Isosceles, right angle, acute angle, obtuse angles, straight, reflex Describe where these angles are found and can be related to real life situations Consider angles and their purpose in the real world Use angles on a compass when searching for things Be able to geo-cash on their own Estimate an angle without a protractor Give an exact angle using a protractor Stage 2 – Assessment Evidence (excerpt) Evidence Through what evidence – student work samples, observations, quizzes, tests, self-assessment or other means – will students demonstrate achievement of the desired results? Add to observation chart throughout lessons (observations) Participation in group quizzes/ individual quizzes following lesson (quizzes) Answers from worksheet (work samples) Journal responses (self assessment) Learning Plan (Stage 3) Where are your students headed? Where have they been? How will you make sure the students know where they are going? How will you hook students at the beginning of the unit? What events will help students experience and explore the big idea and questions in the unit? How will you equip them with needed skills and knowledge? How will you cause students to reflect and rethink? How will you guide them in rehearsing, revising, and refining their work? How will you help students to exhibit and selfevaluate their growing skills, knowledge, and understanding throughout the unit? Students have finished all other units aside from geometry (2D and 3D shapes, transformations, and measurement). This is the beginning of the Geometry unit; after these lessons I will continue with polygons and perimeter. This unit is imperative/ a building block to understanding future content (angles, perimeter, measurement, volume ect.). I will link my lessons to one another through reviewing what the students did the following day and will continually relate the new material to the old material (building on their preexisting knowledge). I will use different videos and content that are either entertaining or that the students can relate to that also relates directly to the material. I have also planned many interactive and hands on activities in order to allow the students to learn through play. Given the research I have done, I am using the, “play first, concept second” approach which will allow the students to draw their own conclusions; this will hopefully allow the students to have a better understanding of the material than they would were I using a strictly stand and deliver approach. As mentioned above, the students will interact with the material in a hands-on/ interactive way. I have made my lessons in a way that will allow the students to connect with the material in a real life way. By experiencing the content rather than reading about it, the students can gain a better grasp of the material and are more likely to remember what they are learning. Some examples include; hands on with pipe cleaners, games, interactive songs, interactive discussions, real life compass navigation and geo cashing). The journals will allow the students to reflect on what they just learned which will make their knowledge more concrete through the explanation of what they know words. The quizzes the following day will also allow the students to refresh what they have already learned. I have chosen to do this because, through research I have done in my psychology degree, memory is improved the more the material is presented and repeated in new ways over time (multiple experiences). Through playing, the students will be able to create conclusions on their own and develop a better understanding. By playing games in the class, the students will be reinforcing their knowledge and repeatedly using the skills they have acquired in the lesson. This will show me that they understand the material and it will also allow them to improve and solidify their understanding. Since they are working with a partner in some activities, they can teach one another; this will also solidify what they know, or if they are misunderstanding a given concept, How will you tailor and otherwise personalize the learning plan to optimize the engagement and effectiveness of ALL students, without compromising the goals of the unit? How will you organize and sequence the learning activities to optimize the engagement and achievement of ALL students? then the other person can help them. I chose to use different methods of learning such as hands on, auditory and visual work; by using multiple modes of learning, no matter how the students learn, hopefully at least one of the activities will reach them and remember. I have also used a combination of group work, and individual work in order to give the students a variety. By letting the students play first, they can gain experiential knowledge; this will help them when I teach the concepts because they will have a knowledge or a foundation to work from. Since new material is understood best by building on experiences or preexisting knowledge, the students will have a foundation to work from. My choice to play the video from lesson one in the second lesson lets the students review/ refresh the material from the day before as they are walking in and before they have quiz. How will we get there? Instructional Plan – activities: Consider using: Mini-lessons Multiple Intelligences Models Manipulatives Rich problems Math journals Games Stations Literature Integration with other subject areas Projects Homework Resources: Teacher’s guide Textbook Technology Equipment Books Strategies: T-chart Think/Pair/Share KWL Drama Connections Activities/Lesson 1 (50 min) Hook- Introduce triangles and provide pipe cleaners to play with- game (create as many different combinations as possible) Introduce labels for different triangles (scalene/ isosceles/ equilateral/ right angle) Media- Play song - http://www.youtube.com/watch?v=DUNxLGhFCqM Game- In teams of 2 with play dough and pipe cleaners. Show me a… (review different names, play game) Math response- In your math journal, draw and write what kinds of triangles there are and write what you know about the lengths of their sides. **Key questions: What is a triangle? / What kinds of triangles are there? / What do we notice about the length of the lines? Activities/Lesson 2 (50 min) Media- http://www.youtube.com/watch?v=DUNxLGhFCqM (as they are walking in) Quiz/ Entrance Slip- Draw me the 4 kinds of triangles and label them (from last class) Hook- Name/draw/ do with arms the angles (acute/ obtuse/ right/ straight/ reflex) Game: Simon Says- act out the angle that I name (acute/ obtuse/ right/ straight/ reflex add in triangles- with partner) Estimating Angles (acute= less than 90, obtuse= more than 90)- how do we know for sure (protractor) – smart board (writing on it) Worksheet- angles (label the different kinds) Game: http://www.mathplayground.com/alienangles.html In your math journal write the different kinds of angles and when you might see them in real life Activities/Lesson 3 (50 min) Media: Snowboarding video- http://www.youtube.com/watch?v=Y1-Ae8zKVm0 Key Question: Why would I show this video? Angles are everywhere in real life Introduce a compass and how it works (360= one full spin like video) Activity/ Game: Geo Cashing (take students outside with the I-pads and geocash for 4 different planted geo-cashes) In your math journal tell me how this relates to the angles we have been learning and one thing you discovered today _____________________ Green- Media Blue- Instruction Yellow- Game Dark Blue- Hook Red- Journal Orange- Worksheet Purple- Quiz From: Wiggins, Grant and J. Mc Tighe. (1998). Understanding by Design, Association for Supervision and Curriculum Development ISBN # 0-87120-313-8 (ppk)