Work Sample Title Your name: Lesson Title All About Angles: A Lesson Using Geometer’s Sketchpad Date of Lesson 2/21/06, 2/22/06, 2/23/06 Topic Using Geometers Sketchpad to study the properties of angles and triangles Grade Level Pre-Algebra, Grades 6-8 Lesson Length 120 min Purpose of Lesson The students become familiar with Geometers Sketchpad as a tool for examining properties of angles and triangles while coming to agreement on properties of angles formed by intersecting lines in the Euclidean plane. Lesson Objectives The students will be able to… Use Geometers Sketchpad to analyze geometric properties of angles, triangles, parallel, and intersecting lines Identify complimentary, supplementary, corresponding, alternate interior, and alternate exterior angles appropriately Solve for unknown angles using triangles, intersecting lines, and given angles in a linear system Corresponding National Standards State Standards Standards Grades 6-8 Grade 8 Geometry Geometry-Properties and Relationships Analyze characteristics and properties of Investigate triangles and their component parts and draw two- and three-dimensional geometric conclusions about their properties shapes and develop mathematical Determine defining properties that characterize classes of arguments about geometric relationships triangles including side and angle measurements and their Connections component parts Recognize and use connections among mathematical ideas Representation Create and use representations to organize, record, and communicate mathematical ideas Context of Lesson This lesson is meant as an entire unit on properties of angles, angles formed by intersecting lines, and triangle properties and classifications. The students are expected to be at least introduced to Geometers Sketchpad prior to this unit, but they need not be overly familiar with the program. Materials Teachers Students (for each student, or pair of students) Computer with Geometers Sketchpad with A computer with the Geometers Sketchpad program display capabilities (optional) Paper Pencil Worksheets (for each student) Work Sample Title Your name: Copy of a pre-made Geometers Sketchpad file Assumptions Students should be acquainted with Geometers Sketchpad and computers in general. Students have been working with geometry terms such as right angle, line, angle, point, circle, triangle, and parallel. Students are familiar with angle measure and two angles being the same measure Students can identify an acute, an obtuse, and a right triangle Resources Used Geometers Sketchpad, www.keypress.com/catalogue/products/software/sampleActivities/GeometryActivities.html, http://Teacherlink.org/content/math/interactive/geoweb/lessons/angles/home.html Marzano Strategies Non-Linguistic Representations; Cooperative Learning; Generating and Testing Hypotheses; Cues, Questions, and Advance Organizers Pre-Assessment Students, prior to this unit (or at the beginning), should be given an assessment similar to the final assessment. Each will start with a review of the information covered in the previous lessons. Formative Formative assessment for this lesson will consist of questioning, review, and the worksheets the students fill out as Assessment they progress through the lessons. Lesson Plan Details Section Time Teacher Activity Student Activity Teacher Notes 3-Day Lesson DAY 1 (40 min) DAY 1 (40 min) Try to keep the 5 min 1) The two teachers will introduce 1) The students are listening and following students off of the themselves and explain how the classes instructions. computers, reminding will be run. them of what * Students will file into the computer lab responsible computer and take their seats at the computers. use looks like. (If there are not enough computers, students need to share) * The class will talk about what they learned thus far on the lesson, asking the students to volunteer information * The worksheets will be handed out and the students will follow the instructions and fill out the worksheets accordingly * When the class is almost over (5 min left), the students will rally again as a class and summarize what they learned that day * Students will turn in their worksheets Work Sample Title Your name: whether they have completed them or not and be dismissed 5 min 2) Teachers instruct students to find a 2) Students find a computer, log in, and computer and open the Geometers open Geometers Sketchpad Sketchpad program. The Day 1 worksheet (All About Angles…) is handed out, one for each student 10 min 3) The class, as a class, goes through the 3) Students follow along with the teachers first construction on the worksheet, with and the class on the construction All teachers in the the teachers displaying how-to on a room should be projection screen. monitoring and assisting students 7 min 4) The class turns to their computers and 4) Students work on their own to answer the answers the discussion questions that associated questions follow 8 min 5) Students attempt to finish and complete 5) Students work through the rest of the the directions on the worksheet. The class sheet including the second set of directions can work on the second set of directions and questions that follow. as a class if need be. 5 min 6) The class closes out the Geometers 6) The class closes out the Geometers Sketchpad programs and discusses some Sketchpad programs and discusses some questions. questions. * What is a vertical angle? * What can we say about the angles formed by intersecting lines? * What do you call a pair of angles that sums up to 180 degrees? * What is another word for an angle measuring 180 degrees? Hint: It’s straight! DAY 2 (40 min) DAY 2 (40 min) Work Sample Title Your name: 5 min 1) Students talk as a class about the 1) Students talk as a class about the important information from DAY 1. The important information from DAY 1. The class can review the questions addressed class can review the questions addressed at at the closing of the previous day. the closing of the previous day. 3 min 2) Teachers instruct students to find a 2) Students find a computer, log in, and computer and open the Geometers open Geometers Sketchpad Sketchpad program. The Day 2 worksheet (All About Angles (Cont)) is handed out, one for each student. 2 min 3) The students are instructed to open a 3) Students open the correct program on pre-made file called Day2.gsp their computers 10 min 4) Depending on the class comfortibility 4) Students work through the first set of with Geometers Sketchpad at this point, instructions on the worksheet as a class or the students can either go through the first individually. set of instructions on the worksheet as a class or individually. 15 min 5) The students work through the 5) The students work through the remainder remainder of the worksheet, getting as far of the worksheet, getting as far as they can. as they can. 5 min 6) The class closes Geometers Sketchpad 6) Students participate in discussion, and logs off of their computers. The class volunteering answers and answering when discusses the important aspects of the called upon. lesson. * Two Complimentary angles add up to how many degrees? * What are alternate interior angles? * What is the sum of the three interior angles of a triangle? Students take home their worksheets for the homework assignment at the end. Work Sample Title Your name: DAY 3 (40 min) 7 min 1) Students talk as a class about the 1) Students talk as a class about the important information from DAY 2. The important information from DAY 2. The class can review the questions addressed class can review the questions addressed at at the closing of the previous day. the closing of the previous day. Students also turn in their worksheets and associated homework pages from DAY 2. 3 min 2) Students go to their computers, open up 2) Students go to their computers, open up Geometers Sketchpad, and worksheets are Geometers Sketchpad, and worksheets are handed out (Exploring Types of handed out. Triangles). 20 min 3) Students follow the instructions on the 3) The class works through the worksheets and ask questions of the constructions and associated questions. wandering teachers if needed. Again, if the students are having difficulty with the directions for the constructions, the teachers can go through them for the class to follow along. 5 min 4) Students participate in discussion, asking 4) The class wraps up with some questions and providing answers. discussion questions for DAY 3. This time, the teachers call on students for their answers to various critical thinking questions from the worksheet, focusing on the topics that were least understood in class. 5 min 5) Students give answers and clear up any 5) The class goes over the main points of misconceptions or questions they may have the last three days working with at the end of this unit. Geometers Sketchpad. Some terms to revisit are complimentary, supplementary, vertical angles, alternate interior angles, alternate exterior angles, corresponding angles, degrees in a triangle, scalene, Work Sample Title Your name: isosceles, and equilateral Students also hand in their third worksheet, completed or not. Homework DAY 1 - None DAY 2 - End of Worksheet Day 3 - None Evaluation Plan Most of the evaluation will be formative, unless the teacher does a formal summative assessment after the unit is completed. The worksheets, questions, and homework act as assessment for this class. Notes: Lesson Objectives: Write out the lesson objectives completely; don’t just refer to them by number. Context of Lesson: How does this lesson fit in with the previous lesson? How does it lead up to the next lesson? Pre- and Formative Assessments: Some lessons may not include these. Lesson Plan Details: Include questions you plan to ask along with acceptable answers in the Teacher Activity section. Teacher notes: Include organization and management strategies. May also include background notes on content. Extensions: How will you extend the lesson for students who finish early or need further challenges? Homework: Describe the homework assignment AND its purpose. Evaluation Plan: How will you know which students met the objectives? How will you help those who didn’t get ready for the next lesson?
Pages to are hidden for
"Geometers Sketchpad Worksheets"Please download to view full document