Download 2013/2014 Geometry A Teacher: Nancy Campbell Course

2013/2014
Geometry A
Teacher: Nancy Campbell
Course Description:
The Geometry A course consists of 46 lessons that address basic skills in geometry including
reasoning, developing proofs, identifying geometric figures, and constructing figures. Within the
course, students explore the relationship between parallel and perpendicular lines. Students also
learn about the relationships within a triangle and apply these to the study of quadrilaterals.
Additionally, they use the properties of proportions and ratios to study similarity.
Syllabus:
Unit 1: Tools of Geometry
MHSCE Standard: G1.1 Lines and Angles; Basic Euclidean and Coordinate Geometry, G1.1.3,
G1.1.4, G1.1.5, G1.1.6
Objectives: Students will be able to :
- Make isometric and orthographic drawings
- Understand basic terms of geometry
- Identify the difference between lines, rays and segments
- Find the lengths of segments and the measure of angles
- Learn how to use a compass and straight edge to construct congruent lines and angles
- Find the distance between points in a coordinate plane
- Find the perimeter of polygons and circumference of circles
Unit 2: Reasoning and Proof
MHSCE Standard: L3.1 Mathematical Reasoning, L3.1.1, L3.1.2, L3.1.3, L3.2 Language and
Laws of Logic, L3.2.1, L3.2.2, L3.2.3, L3.2.4, L3.3 Proof, L3.3.1, L3.3.2, L3.3.3
Objectives: Students will be able to:
- Recognize conditional statements
- Write biconditional statements
- Use the laws of Detachment and Syllogism
- Identify properties used in geometry
- Prove and apply theorems about angles
Unit 3: Parallel and Perpendicular Lines
MHSCE Standards: L1.1 Number Systems and Number Sense, L1.16, G1.1 Lines and Angles;
Basic Euclidean and Coordinate Geometry, G1.1.1, G1.1.2, G1.2 Triangles and Their Properties,
G1.2.1, G1.2.2
2013/2014
Geometry A
Teacher: Nancy Campbell
Objectives: Students will be able to:
- Prove and use properties of parallel lines
- Relate parallel and perpendicular lines
- Classify triangles by their angles and sides
- Classify polygons, find the sums of the interior and exterior angles
- Graph lines given their equations, Find the equations of graphs
- Relate slope and parallel and perpendicular lines
- Use a compass and straight edge to construct parallel and perpendicular lines
Unit 4: Congruent Triangles
MHSCE Standards: G2.3 Congruence and Similarity, G2.3.1, G2.3.2, G2.3.3.
Objectives: Students will be able to:
- Recognize congruent figures and their corresponding parts
- Prove triangles congruent by using SSS and SAS postulate
- Prove triangles congruent by using ASA and AAS
- Prove that the parts of congruent triangles are congruent by using CPCTC
- Use and apply properties of isosceles triangles
- Prove right triangles congruent using hypotenuse- leg theorem
- Use corresponding parts of congruent triangles to prove other triangles congruent
Unit 5: Relationships within Triangles
MHSCE Standards: G1.2 Triangles and Their Properties, G1.2.5
Objectives: Students will be able to:
- Use properties of triangle midsegments to solve problems
- Use properties of perpendicular and angular bisectors
- Identify properties of perpendicular and angular bisectors
- Use indirect reasoning
- Use inequalities of angles and sides in triangles
Unit 6: Quadrilaterals
MHSCE Standards: G1.4 Quadrilaterals and Their Properties, G1.4.1, G1.4.2, G1.4.3, G1.4.4
Objectives: Students will be able to:
- Classify special quadrilaterals
- Use relationships between sides and angles of parallelograms to solve problems
- Determine whether a quadrilateral is a parallelogram
- Use properties of diagonals of rhombuses and rectangles
2013/2014
Geometry A
-
Teacher: Nancy Campbell
Verify and use properties of trapezoids and kites
Place figures in the coordinate plane
Prove theorems using figures in the coordinate plane
Unit 7: Similarity
MHSCE Standards: G2.3 Congruence and Similarity, G2.3.4, G2.3.5
Objectives: Students will be able to:
- Write ratios and solve proportions
- Identify and apply similar polygons
- Prove triangles similar
- Find and use relationships between similar right triangles
- Use the side splitter theorem, Use the triangle-angle-bisector theorem
Grading Categories:
In this course your grade will consist of the following:
Unit Tests: 90%
Final Exam: 10%
Grading Scale:
A 95-100
A- 90-94
B+ 88-89
B 84-87
BC+
C
C-
Additional Student Resources:
Graphic Organizers
Study Guides
Graphing Calculator
80-83
78-79
74-77
70-73
D+
D
DE
68-69
64-67
60-63
0-59