Geometers Sketchpad Worksheets by zrv11537

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									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?

								
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