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Windsor High School Geometry A Teacher: Chris Jones Month August 2008 Content/Resource ELEMENTS A. Basic Elements: Points, Lines, Planes Suggested Resources: --Holt Geometry Book Chapter 1 Skills A. Label and sketch points, line, planes and their intersections A. Find distance and midpoint using formulas A. Define in writing 3 geometric terms A. Identify in writing in writing angle relationships (vertical, adjacent, supplementary, complimentary, linear pairs.) A. Measure angles using protractor A. Recognize visually and in writing transformations in coordinate plane Assessment A.1 Geometry basics define; point, line, plane, ray, and angle. (Visual, Vocab WKST) A.2 Line segment properties, endpoints, distance, and, midpoint. (Visual Vocab WKST.) A.3 Angle relationships worksheet, adjacent, vertical, straight, linear pair, supplementary and complementary angles. (Visual Vocab WKST.) Activities/Strategies A.1"Charades Game: Point, Line, Plane, Angle, Midpoint, Endpoint / Acute / Obtuse / Vertical / Right / Straight / Supplementary / Complementary / Linear Pair (Angles), / Segment Distance / Ray / Opposite Ray / Vertex / Hypotenuse / Legs. A.2 Pictionary Game :Point, Line, Plane, Angle, Midpoint, Endpoint / Acute / Obtuse / Vertical / Right / Straight / Supplementary / Complementary / Linear Pair (Angles), / Segment Distance / Ray / Opposite Ray / Vertex / Hypotenuse / Legs. A.4 Angle properties, acute, obtuse, straight, right, vertex, rays (opposite), A. Quiz #1 on A.1 - A.4. A. Unit One Test REASONING B. Logical Reasoning: Inductive, Deductive Suggested Resources: --Holt Geometry Book - Chapter 2 --"If you give a Mouse a Cookie" books B. Complete in writing patterns using inductive reasoning B. Write conditional statements and their converse, inverse, contrapositive B. Determine in writing word probelms constitute deductive or inductive reasoning B. Determine in writing truth value of disjunctions and conjunctions B. Identify in writing Law of Detachment, Law of Syllogism B. Identify in writing Algebraic Properties (review: associative, communtive, distributive, identity, inverse, substitution; introduce: reflexive, symmetric, transitive) B. Write bi-conditional statements B. Complete flow and t-chart proofs with B.1 Conditional Statements Quiz/WKST. B.2 Writing Conditional, Converse, Inverse, and Contrapositive, Quiz/WKST. B.3 Determining Detachment or Syllogism, Inductive or Deductive, Re-write Biconditional to Converse and Conditional. www.curriculummapper.com 1 of 3 Geometry A Jones Month Content/Resource Windsor High School Skills Assessment Activities/Strategies appropriate postulates and theorems LINES/ANGLES C. Lines/Angles: Relationships Between Parallel Lines/ Angles and Perpendicular Lines/Angles Suggested Resources: --Holt Geometry Book - Chapter 3 TRIANGLES D. Congruence: Use Of/Prove Congruency Suggested Resources: --Holt Geometry Book - Chapter 4 --Worksheets 4.4-4.6 E. Segments/Inequalities: Construction Suggested Resources: --Holt Geometry Book - Chapter 5, sect. 16 --Cabri jr. Calculator Program --Geometer's Sketchpad C. Identify in writing angle pairs formed by 2 lines and a transversal C. Prove and use theorems about angles formed by parallel lines and transversals C. Prove 2 lines are parallel using angles formed by a transversal C. Prove theorems about perpendicular lines C. Apply perpendicular lines theorems to solve algebraic equations D. Classify in writing triangles by sides and angles D. Calculate angle measures using triangle relationships D. Identify in writing corresponding parts of congruent triangles D. Identify in writing triangle congruence relationships by using the triangle congruence theorems D. Prove triangles congruent in formal and flow proof form D. Continue formal proofs including Corresponding Parts of Congruent Triangles are Congruent (CPCTC) others??? D. Identify in writing parts of isosceles and equilateral triangles D. Apply in writing isosceles triangle theorems to solve algebraic equations E. Construct an altitude, median, perpendicular bisector, angle bisector in a triangle E. Construct electronically an orthocenter, centroid, incenter, circumcenter in a triangle E. Identify in writing 4 centers of a triangle using 4 vocabulary terms www.curriculummapper.com 2 of 3 Geometry A Jones Month Content/Resource F. Similarity: Properties/Proofs Suggested Resources: --Holt Geometry Book - Chapter 7 Windsor High School Skills Assessment Activities/Strategies E. Apply in writing midsegment theorem to solve algebraic equations E. Apply in writing inequality relationships in triangles to real life situations F. Solve ratio and proportion problems F. Identify in writing similar polygons F. Solve similar polygons using proportions F. Prove triangles similar using similar triangle theorems F. Apply in writing properties of similar triangles and proportional relationships to real world situations F. Dilate triangles on the coordinate plane www.curriculummapper.com 3 of 3