PARKVIEW HIGH SCHOOL

 FALL 2007

Mrs. Flowe  (Room 1.222)

 

 

Course:  09th Grade Honors/Gifted Geometry

Text: Geometry:  Holt, Rinehart and Winston

Cost: $47.40

Prerequisite: 08th Grade Honors/Gifted Algebra

 

Curricular goals interwoven throughout the mathematics program are that students will:

            learn to communicate mathematically (QCC)

            learn to use mathematics in their daily lives (QCC)

            become proficient with appropriate computational tools and techniques (QCC)

            learn to reason mathematically (QCC)

            become mathematical problem solvers (QCC)

 

These goals will provide the direction for assessment and instruction. Attainment of these goals is facilitated by the students’ demonstration of the following Academic Knowledge and Skills (AKS).

 

 

Chapter 1 Exploring Geometry (pp. 2-77)                                                                                       

 

Ÿ         apply properties and analyze relationships associated with points, segments, rays, lines, angles, planes and polygons (QCC, SAT I) (MAHG_A2001-2)

Ÿ         create constructions associated with segments, angles, polygons and circles using compass and straightedge, paper folding, mira, and/or computer graphing software (QCC) (MAHG_A2001-4)

Ÿ        write and graph equations of parallel, perpendicular and intersecting lines satisfying given conditions (QCC, SAT I, ACT) (MAHG_B2001-12)

Ÿ         develop and apply formulas for distance, midpoint, slope, circles (QCC, SAT I, ACT) (MAHG_B2001-13)

Ÿ        analyze effects of reflections, rotations, translations, dilations and symmetry of geometric figures in the coordinate plane (QCC, HSGT) (MAHG_B2001-16)

Ÿ         determine the image, pre image or inverse of a given mapping, and the composite of two mappings (QCC) (MAHG_B2003-6)

Ÿ         write equations for lines satisfying given conditions (QCC, ACT) (MAHG_C2001-20)       

Ÿ         create composites of transformations (QCC) (MAHG_B2001-19) [ex.  Glide-reflection]

 

 

 

 

 

 

Chapter 2 Reasoning in Geometry (pp. 78-135)

 

Ÿ         apply inductive and deductive reasoning process to form conjectures and then prove conjectures using valid reasoning and laws of logic (QCC) (MAHG_A2001-6)

Ÿ         construct direct and indirect proofs in written form such as paragraph, two-column or flow-chart formats (QCC) (MAHG_A2001-10)

Ÿ         determine the equivalence and validity of truth tables including sentences involving conditional statements, conjunctions, disjunctions, and negations (QCC) (MAHG_A2003-3)

Ÿ         determine truth tables for sentences and use Venn Diagrams to illustrate the relationship represented by truth tables (QCC) (MAHG_A2003-4)

 

 

Chapter 12 A Closer Look at Proof and Logic (pp. 766-797, 808-811)

                                                                                                                                                      

Ÿ         apply inductive and deductive reasoning process to form conjectures and then prove conjectures using valid reasoning and laws of logic (QCC) (MAHG_A2001-6)

Ÿ         construct direct and indirect proofs in written form such as paragraph, two-column or flow-chart formats (QCC) (MAHG_A2001-10)

Ÿ         determine the equivalence and validity of truth tables including sentences involving conditional statements, conjunctions, disjunctions, and negations (QCC) (MAHG_A2003-3)

Ÿ         determine truth tables for sentences and use Venn Diagrams to illustrate the relationship represented by truth tables (QCC) (MAHG_A2003-4) [supplement Venn diagrams]

 

 

 

Chapter 3 Parallels and Polygons (pp. 136-207)

                                                                                                                                                      

Ÿ         apply properties and analyze relationships associated with points, segments, rays, lines, angles, planes and polygons (QCC, SAT I) (MAHG_A2001-2)

Ÿ         create constructions associated with segments, angles, polygons and circles using compass and straightedge, paper folding, mira, and/or computer graphing software (QCC) (MAHG_A2001-4)

Ÿ         apply inductive and deductive reasoning process to form conjectures and then prove conjectures using valid reasoning and laws of logic (QCC) (MAHG_A2001-6)

Ÿ         prove and apply theorems associated with polygons with respect to angles, sides, segments and angle sums (QCC) (MAHG_A2001-7)

Ÿ         construct direct and indirect proofs in written form such as paragraph, two-column or flow-chart formats (QCC) (MAHG_A2001-10)

Ÿ         apply and prove congruence and similarity properties of polygons and solids

(QCC, SAT I) (MAHG_A2001-11)

Ÿ         recognize parallel lines and planes, skew lines, and pairs of angles formed when two lines are cut by a transversal (alternate and same side, interior and exterior, corresponding) (QCC) (MAHG_A2003-1)

Ÿ         use properties of quadrilaterals to establish and test relationships involving diagonals, angles, and lines of symmetry (QCC) (MAHG_A2003-2)

Ÿ         write and graph equations of parallel, perpendicular and intersecting lines satisfying given conditions (QCC, SAT I, ACT) (MAHG_B2001-12)

Ÿ         develop and apply formulas for distance, midpoint, slope, circles (QCC, SAT I, ACT) (MAHG_B2001-13)

Ÿ         write coordinate proofs (QCC) (MAHG_B2001-15)

Ÿ         write equations for lines satisfying given conditions (QCC, ACT) (MAHG_C2001-20)

 

 

Chapter 4 Triangle Congruence (pp. 208-291)

                                                                                                                                                      

Ÿ          identify, prove and apply theorems and properties related to congruent triangles, right triangles and polygons (QCC, SAT I) (MAHG_A2001-1)

Ÿ         apply properties and analyze relationships associated with points, segments, rays, lines, angles, planes and polygons (QCC, SAT I) (MAHG_A2001-2)

Ÿ         create constructions associated with segments, angles, polygons and circles using compass and straightedge, paper folding, mira, and/or computer graphing software (QCC) (MAHG_A2001-4)

Ÿ         prove and apply theorems associated with polygons with respect to angles, sides, segments and angle sums (QCC) (MAHG_A2001-7)

Ÿ         apply and prove congruence and similarity properties of polygons and solids (QCC, SAT I) (MAHG_A2001-11)

Ÿ         use properties of quadrilaterals to establish and test relationships involving diagonals, angles, and lines of symmetry (QCC) (MAHG_A2003-2)

Ÿ         analyze effects of reflections, rotations, translations, dilations and symmetry of geometric figures in the coordinate plane (QCC, HSGT) (MAHG_B2001-16)

Ÿ         investigate and apply transformation vectors and scale changes to find the image of figures on the coordinate plane (QCC) (MAHG_B2001-17)

Ÿ         create composites of transformations (QCC) (MAHG_B2001-19) [supplement textbook]

 

 

Class Materials

 

         Textbook

         Three-ring binder

         Graph paper

         Pencils

         Graphing Calculator (TI 83/83+)

         *Other supplies may be requested by the classroom teacher.

 

 

 

 

Grading Procedure

        

         Tests               50%

         Daily               30%  (includes homework, quizzes, labs, and notebook)

         Final Exam     20%  (5% Free Response and 15% Multiple Choice)

 

 

Gwinnett County Grading Scale

 

90-100          A

80-89              B

74-79              C

70-73              D

0-69                  F

 

The teacher reserves the right to make adjustments in the course content and/or grading procedures as needed.

 

 Cheating:

·Your work is yours and no one else’s.  This includes but is not limited to tests, quizzes, homework, and lab work.  DO NOT SHARE YOUR WORK WITH ANYONE ELSE!!!!

· Consequences for cheating will involve administrative referral and a parent phone call.