Subject:
High School GeometryTeacher: Beau Garcia
School: Sturgis Brown High School
Division: Math Department
Credit: One
Course Planner
Course Description:
This course is required before placement into Algebra II or Algebra Applications. This course will develop an awareness of plane geometry. Students will study basic concepts, geometric shapes, and their relationships, including formulas. This class will help prepare students for the Dakota Step test and the ACT test. This is a one-term, one-credit course that meets for one 90-minute block daily.
Pre-requisite: Algebra I
Instructional Philosophy:
Students will be expected to meet all the course goals listed below and be able to demonstrate required concepts. Students will have the opportunity to work in teams and independently on a wide variety of activities and assignments. Assignments will require students to draw upon academic skills in mathematics as well as interpersonal skills.
The instructor will use various delivery methods, which include but are not limited to: lecture, overhead transparencies, computerized assessments, PowerPoint presentations, geometry software, and a personal digital assistant.
Student’s assessment will be based on participation, daily assignments, quizzes, presentations, and a written test of student knowledge. Attendance and punctuality will be a component of the student’s grade. In order to receive credit students must complete assessments with an average of a 70%.
The community will be invited to a math night held once a year. At this function, study tips will be presented.
Course Goals:
Students will:
Tool of Geometry
The students will demonstrate knowledge of basic concepts and relationships by drawing or defining vocabulary related to those basic ideas. Students will use inductive reasoning to solve problems. Students will find distance on a coordinate plane, perimeter, circumference and area of basic geometric figures.
Parallel and Perpendicular Lines
The students will illustrate the relationships between the angles formed by parallel lines, giving precise measurements for each angle. Students will relate parallel and perpendicular lines. The students will demonstrate the ability to determine interior and exterior angles for any convex polygon.
Congruent Triangles
The students will demonstrate knowledge of triangles by performing geometric proofs.
Quadrilaterals
The students will illustrate the properties of seven specific quadrilaterals, with special detail given to parallelograms.
Area
Students will calculate the area of two-dimensional figures. Students will use the Pythagorean theorem to solve for a missing side. Students will be able to describe in words the relationship between sides and angles in specific right triangles.
Similarity
The students will be able to set up and solve proportions dealing with similar polygons.
Right Triangles
Students will be able to use the three basic trigonometry functions, cosine, sine, and tangent to solve for missing angles or sides.
Surface Area and Volume
The students will calculate the area and volume of three-dimensional figures
Circles
Students will be able to find the measures of arcs and angles related to the circle. Students will find the length of chords, parts of tangents, or parts of secants using formulas.
Transformations
Students will locate images of figures by reflection, translation, dilation, mapping, and glide transformations
By completing this course, students will demonstrate the following transferable work skills:
Foundation Skills:
Basic Skills: Reading, Writing, Arithmetic/Mathematics, and Listening
Thinking Skills: Decision-Making, Problem Solving, Knowing How to Learn, Reasoning
Personal Qualities: Responsibility, Self-Esteem, Sociability, Self-Management, and Integrity/Honesty
Competencies:
Resources: Time, Material, and Facilities
Interpersonal: Participates as Member of group, Exercises Leadership, Works with Diversity
Information: Acquires and Evaluates Information, Organizes and Maintains Information, Interprets Information
Major Course Projects:
Ø
Tools of GeometryØ
Parallel and Perpendicular LinesØ
Congruent TrianglesØ
QuadrilateralsØ
Area of two-dimensional figuresØ
Similar polygonsØ
Right TrianglesØ
Surface Area and Volume of Three-Dimensional FiguresØ
CirclesØ
Transformations
Instructional Delivery Plan:
Introduction to Units and Class Operation: The course syllabus and list of units will be distributed. Classroom policies, attendance, and tardy policies will also be addressed. The instructor will outline class operational procedures. The evaluation and grading system will be introduced at the beginning of the course to advise students of the standards they will be expected to meet in order to pass the course and achieve better grades.
Class Operation: The teacher provides direction, manages the class, and provides students with assessment. Students are responsible for managing their class time and completing all assignments. In brief class assemblies the teacher lectures, provides examples, and demonstrates particular concepts. The teacher provides the parameters for student performance.
Monitoring, Evaluating, and Grading Performance:
The teacher checks for student understanding by random questioning and periodic quizzes. Students are called upon to explain selected concepts to the teacher or other class members. The evaluating system – which is used to measure qualitative as well as quantitative aspects of student performance – is clearly stated and is explained in the beginning.
Assessment Plan:
Student evaluation will be based on:
Participation in class activities
Completion of homework
Quizzes
Personal Digital Assistant
Problem of the Week
Unit tests
Attainment of a minimum of a 70% average in order to receive credit for this class
|
Assessment |
Description |
Percentage |
|
Daily Assignments |
Daily assignments include but are not limited to book assignments, worksheets, and activities |
25% of semester grade |
|
Quizzes |
Quizzes are teacher generated or taken from textbook resource |
25% of semester grade |
|
Test |
Tests are teacher generated or taken from textbook resource |
50% of semester grade |
Letter Grades for the course are based on the guidelines outlined below:
100-93 A
92-86 B
85-78 C
77-70 D
69-0 F
Course Standards
|
UNITS/PROJECTS |
Content Standards |
RESOURCES |
|
Tools of Geometry
|
M13 Students are able to use formulas to find perimeter, circumference, and area to solve problems involving common geometric figures. G13A Students are able to apply properties associated with circles. M11A Students are able to use dimensional analysis to check answers and determine units of problem solution. N31 Students are able to use estimation strategies in problem situations to predict results and to check the reasonableness of results. Technology Standards Students use technology tools to enhance learning, increase productivity, and promote creativity. Students demonstrate a sound understanding of the nature and operation of technology systems. Students use technology resources for solving problems and making informed decisions. |
Textbook, ruler, overhead, protractor, compass, lap tops, problem of the week, pda, 6+1 writing, graph paper, graphing calculator, Geometer Sketchpad Program, teacher generated materials |
|
Parallel and Perpendicular Lines
|
G11 Students are able to apply the properties of triangles & quadrilaterals to find unknown parts. G12 Students are able to identify & apply relationships among triangles. Technology Standards Students use technology tools to enhance learning, increase productivity, and promote creativity. Students demonstrate a sound understanding of the nature and operation of technology systems. Students use technology resources for solving problems and making informed decisions. |
Textbook, overhead, ruler, protractor, Geometer Sketchpad software, graphing calculators, problem of the week, pda, teacher generated materials |
|
Congruent Triangles
|
G11 Students are able to apply the properties of triangles & quadrilaterals to find unknown parts. G11A Students are able to justify properties of geometric figures Technology Standards Students use technology tools to enhance learning, increase productivity, and promote creativity. Students demonstrate a sound understanding of the nature and operation of technology systems. Students use technology resources for solving problems and making informed decisions. |
Textbook, overhead, ruler, protractor, toothpicks or straws, problem of the week, Geometer Sketchpad software, teacher generated materials |
|
Quadrilaterals 1. Classifying Quadrilaterals
4. Trapezoids & Kites |
G11 Students are able to apply the properties of triangles and quadrilaterals to find unknown parts. Technology Standards Students use technology tools to enhance learning, increase productivity, and promote creativity. Students demonstrate a sound understanding of the nature and operation of technology systems. Students use technology resources for solving problems and making informed decisions. |
Textbook, overhead, Geometer Sketchpad software, pda, 6+1 writing, problem of the week, protractor, ruler, teacher generated materials |
|
Area
|
M13 Students are able to use formulas to find perimeter, circumference, and area to solve problems involving common geometric figures. N31 Students are able to use estimation strategies in problem situations to predict results and to check the reasonableness of results. A32A Students are able to create formulas to model relationships that are algebraic, geometric, trigonometric, and exponential. G11 Students are able to apply the properties of triangles and quadrilaterals to find unknown parts. G13A Students are able to apply properties associated with circles. S21 Students are able to distinguish between experimental and theoretical probability. S22 Students are able to predict outcomes of simple events using given theoretical probabilities S21A Students are able to determine probability of compound, complementary, independent, and mutually exclusive events. Technology Standards Students use technology tools to enhance learning, increase productivity, and promote creativity. Students demonstrate a sound understanding of the nature and operation of technology systems. Students use technology resources for solving problems and making informed decisions. |
Textbook, overhead, Geometer Sketchpad software, graphing calculator, pda, problem of the week, ruler, compass, scissors, teacher generated materials |
|
Similarity
|
G23 Students are able to use proportions to solve problems. G12 Students are able to identify and apply relationships among triangles. Technology Standards Students use technology tools to enhance learning, increase productivity, and promote creativity. Students demonstrate a sound understanding of the nature and operation of technology systems. Students use technology resources for solving problems and making informed decisions. |
Textbook, overhead, ruler, Geometer Sketchpad software, lap tops, graph paper, problem of the week, teacher generated materials |
|
Right Triangle Trigonometry
|
G11 Students are able to apply the properties of triangles and quadrilaterals to find unknown parts. G12A Students are able to determine the values of the sine, cosine, and tangent ratios of right triangles. Technology Standards Students use technology tools to enhance learning, increase productivity, and promote creativity. Students demonstrate a sound understanding of the nature and operation of technology systems. Students use technology resources for solving problems and making informed decisions. |
Textbook, graphing calculator, overhead, problem of the week, teacher generated materials |
|
Surface Area & Volume
|
G21 Students are able to recognize the relationship between a three-dimensional figure and its two-dimensional representation. G14A Students are able to use formulas for surface area and volume to solve problems involving three-dimensional figures N31 Students are able to use estimation strategies in problem situations to predict results and to check the reasonableness of results. A32A Students are able to create formulas to model relationships that are algebraic, geometric, trigonometric, and exponential. G14A Students are able to use formulas for surface area and volume to solve problems involving three-dimensional figures. Technology Standards Students use technology tools to enhance learning, increase productivity, and promote creativity. Students demonstrate a sound understanding of the nature and operation of technology systems. Students use technology resources for solving problems and making informed decisions. |
Textbook, ruler, graph paper, graphing calculators, lap tops, unit cubes, geometric solid manipulatives, problem of the week, teacher generated materials |
|
Circles
|
G13A Students are able to apply properties associated with circles. Technology Standards Students use technology tools to enhance learning, increase productivity, and promote creativity. Students demonstrate a sound understanding of the nature and operation of technology systems. Students use technology resources for solving problems and making informed decisions. |
Textbook, overhead, problem of the week, ruler, compass, protractor, Geometer Sketchpad software, teacher generated materials |
|
Transformations
|
G22 Students are able to reflect across vertical or horizontal lines, and translate two-dimensional figures. Technology Standards Students use technology tools to enhance learning, increase productivity, and promote creativity. Students demonstrate a sound understanding of the nature and operation of technology systems. Students use technology resources for solving problems and making informed decisions. |
Textbook, lap top, Geometer Sketchpad software, graph paper, colors, ruler, teacher generated materials |
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