for Rising 8th Graders
Click Here to take the free Online TJ Math Diagnostic (email is required).
Many students who apply to TJ are only taking Algebra I in 8th grade, others are only beginning geometry in 8th grade and will have little of the course under their belts when the test is administered in the fall. This puts them at a distinct disadvantage when taking the TJ test.
This crash course in geometry is designed for rising 8th graders who have completed prealgebra, although prealgebra isn’t essential to benefit from our course.
This class is not a substitute for a thorough course in geometry. However, a student does not need a thorough course in geometry to handle the geometry problems on the TJ test, SSAT, ISEE, PSAT, and SAT. As long as the student knows some key concepts he or she can solve all the problems that are found on these tests. [It is important to understand that we will NOT be covering proofs. Formal geometric proofs are not needed for these tests.]
The course runs four consecutive days; each class is 90 minutes long. Class size is limited to twelve students. Please allow 2 hours and arrive a few minutes early so we can cover the essentials and answer all of the students’ questions.
We reserve the right to change the pacing of the course to meet the needs of the students. Keep in mind we draw our student pool from across the metro DC area and curriculum varies from school to school, county to county, and public versus private. It is a challenge to both keep the class moving and yet not leave some students behind scratching their heads in confusion.
Class Times 2019
We are entertaining requests for class times in June, July, and/or August. Please email caroline@katedalby.com your request.
Geometry Class Syllabus
Basics of Geometry Patterns and Inductive Reasoning
 points, lines, planes,
 angles and their measures
 segments and their measures
 angle pair relationships
Intro to Basic Figures
 perimeter
 circumference
 area
Deductive Reasoning and Proof
 conditional statements
 Ifthen statements
 converses, contrapositive
Perpendicular and Parallel Lines
 lines and angles
 proofs and Perpendicular Lines
 parallel lines and transversals
 proving lines are parallel
 using properties of parallel lines
 parallel lines in the coordinate plane
 special pairs of angles
 perpendicular lines
Properties of Triangles
 Congruent Triangles
 triangles and angles
 congruence and triangles
 showing triangles are congruent: SSS and SAS
 showing triangles are congruent: ASA and AAS
 using congruent triangles
 isosceles, equilateral, and right triangle
 perpendiculars and bisectors
 bisectors of a triangle
 medians and altitudes of a triangle
 midsegment theorem
 inequalities in one triangle
 area and perimeter of triangles
 indirect proof and inequalities in two triangles
Quadrilaterals
 polygons
 properties of parallelograms
 proving quadrilaterals are parallelograms
 rhombuses, rectangles, and squares
 trapezoids and kites
 special quadrilaterals
 diagonals, perimeter, and area of quadrilaterals
Similarity
 ratio and proportion
 problem solving in geometry with proportions
 similar polygons
 similar triangles
 proving triangles are similar
 proportions and similar triangles
Right Triangles and Trigonometry
 similar right triangles
 pythagorean theorem
 the converse of the pythagorean theorem
 special right triangles:306090 & 454590
 solving right triangles
Circles
 tangent to circles
 arcs and chords
 inscribed angles
 other angle relationships in circles
 segment lengths in circles
 equations of circles
Area of Polygons and Circles
 angle measures in polygons
 areas of regular polygons
 perimeters and areas of similar figures
 circumference and arc length
 areas of circles and sectors
 geometric probability
Coordinate Geometry
 equation of a line
 parallel lines
 perpendicular lines
 reflections
 yintercepts
 xintercepts
Transformations
 reflections
 rotations
 translations
This course includes:

Daily Quizzes

Daily Homework