This course is designed for students who have successfully completed the standards for Algebra I. All
students are expected to achieve the Geometry standards. The course includes, among other things,
properties of geometric figures, trigonometric relationships, and reasoning to justify conclusions.
Methods of justification will include paragraph proofs, two-column proofs, indirect proofs, coordinate
proofs, algebraic methods, and verbal arguments. A gradual development of formal proof will be
encouraged. Inductive and intuitive approaches to proof as well as deductive axiomatic methods should
This set of standards includes emphasis on two- and three-dimensional reasoning skills, coordinate and
transformational geometry, and the use of geometric models to solve problems.
A variety of applications
and some general problem-solving techniques, including algebraic skills, should be used to implement
these standards. Calculators, computers, graphing utilities (graphing calculators or computer graphing
simulators), dynamic geometry software, and other appropriate technology tools will be used to assist in
teaching and learning. Any technology that will enhance student learning should be used.
Weeks of February 13th to March 17th
During these weeks, students taking Geometry will begin the unit on Trigonometry. This unit includes the Pythagorean Theorem, Special Right Triangles, Trigonometry and Inverse Trigonometry. Students will learn how to solve for an angle or for the length of a side of a right triangle. More on this unit can be learned by going to Khan Academy online and watching the tutorials on each section of this unit. We will start with the Pythagorean Theorem.
G.8 The student will solve real-world problems involving right triangles by using the Pythagorean Theorem and its converse, properties of special right triangles, and right triangle trigonometry.
This unit is out of Chapter 8 of the book. In addition to the textbook, students will have supplemental worksheets and activities. This unit is a very important part of the curriculum and in the past there have been many SOL questions on this unit. We will review previously released SOL questions related to right triangles.
Weeks of January 31st - February 10th
During these few weeks, students will be introduced to the properties of quadrilaterals and polygons. We will use supplemental worksheets and organizers to learn everything necessary for this unit.
G.9 The student will verify characteristics of quadrilaterals and use properties of quadrilaterals to solve real-world problems.
G.10 The student will solve real-world problems involving angles of polygons.
Students are encouraged to watch Khan Academy via Youtube on this unit. We will work out of Chapter 6 in the book and we will also be reviewing SOL standard G.2
The student will use the relationships between angles formed by two lines cut by a transversal to
a) determine whether two lines are parallel;
b) verify the parallelism, using algebraic and coordinate methods as well as deductive proofs; and
c) solve real-world problems involving angles formed when parallel lines are cut by a transversal.
Week of January 9th-13th and January 16-20
During these 2 weeks, students will continue their study on Congruent Triangles and will be introduced to the theorems involved with Similar Triangles. Students should expect an assessment on these 2 units combined by the end of next week.
G.6 The student, given information in the form of a figure or statement, will prove two triangles are congruent, using algebraic and coordinate methods as well as deductive proofs.
G.7 The student, given information in the form of a figure or statement, will prove two triangles are similar, using algebraic and coordinate methods as well as deductive proofs.
The units go with chapter 4-2, 4-3, and 7-3. Students are encouraged to watch tutorials on these concepts through Khan Academy!
Week of November 14th and 22nd
. Please click on link to open Lesson Plans for week of November 14th, and know that the same lessons will extend into the 2 days we are in school the following week, November 21st and 22nd.
Week of October 31
Week of October 24-28
Please click on link to see full lesson plans
Please view attached PDF on Lesson Plans for all of my classes.
Week of October 10th and October 17th
- During these 2 weeks, students will be continuing in their unit on Logic and Reasoning.
The student will construct and judge the validity of a logical argument consisting of a set of premises and a conclusion. This will include
G.1.a identifying the converse, inverse, and contrapositive of a conditional statement;
Identify hypotheses and conclusions (G-I.1)
Converses, inverses, and contrapositives (G-I.5)
We will work in chapter 2 of the book for this unit, using Kuta worksheets and IXL as supplemental resources.
Next, students will work on Basic constructions. This comes out of Chapter 1.6 in the book. A great resource for this unit is Khan Academy. We will use this site as part of the instruction for this unit!
The student will construct and justify the constructions of
G.4.a a line segment congruent to a given line segment;
G.4.b the perpendicular bisector of a line segment;
Construct the midpoint or perpendicular bisector of a segment (G-B.9)
G.4.c a perpendicular to a given line from a point not on the line;
Construct a perpendicular line (G-D.2)
G.4.d a perpendicular to a given line at a given point on the line;
Construct a perpendicular line (G-D.2)
G.4.e the bisector of a given angle;
Construct an angle bisector (G-C.6)
G.4.f an angle congruent to a given angle; and
Construct a congruent angle (G-C.7)
G.4.g a line parallel to a given line through a point not on the given line.
Construct parallel lines (G-D.5)