Welcome to Geometry, Gifted.
"Mathematics is the Queen of the Sciences." - Carl Friedrich Gauss
Goal: The primary goal of Gifted Geometry is to equip students with the tools that will enable them to utilize geometry in real world applications, do further study in mathematics and other disciplines, introduce the foundations of a mathematical system, and experience discovery activities and exercises designed to maintain and advance student interest.
Just a few of the objectives of Geometry, GT, are:
The learner will utilize geometry vocabulary and symbolism.
TLW write a basic geometric proof utilizing postulates, theorems, and definitions.
point out when triangles are congruent.
discover when geometric figures are similar.
determine the relationship of angles that are formed by parallel lines cut by a transversal.
classify triangles by sides and angles.
apply the Pythagorean Theorem and other theorems with respect to real life problems involving special right triangles.
perform basic geometric constructions.
classify quadrilaterals according to their properties.
identify segments and angles and their properties as they relate to a circle.
synthesize the area of polygons and circles.
determine the volume of rectangular solids, pyramids, spheres, and cones.
research a geometry topic with emphasis on real world applications
Topics of Study:
Technological skills to solve problems
Inductive, Deductive Reasoning
Line and Angle Relationships
Supplementary, Vertical Angles, Adjacent Angles
Distance and Midpoint
Parallel Lines
Basic geometric proofs w/Polygon interior angles
Quadrilaterals and their classifications
Similar Triangles
Isometric and Orthographic drawing
Reflections, translations, rotations, composition, symmetry, tessellations, dilations
Conditional Statements
Circles
Area and Volume
Trigonometry
Tangents and Secants to Circles
1 inch binder, with loose leaf OR a notebook
Journal, Pencils, Erasers, Ruler
Scientific Calculator (TI84 will be supplied)
***A metal, compass, sturdy and hard to break
protractor
Students will be picked to supply one of the following: paper towels, tissue, wipes, and hand sanitizer).
Tests are to be made up in the make up center five days after absence, or student will acquire a zero.
Primary Textbook
SpringBoard Geometry
Course Outline
The following units will be covered in a year, 36 weeks, consisting of at least 200 minutes of facilitation per week (50 minutes set aside for shortened class schedules) which will include a variety of assessment opportunities to include:
- Bell Ringers – Quizzes after short introductions to concepts
- Homework/Practice Work – Follows facilitative efforts in the classroom (students should look forward to an hour of practice daily)
- Constructed Responses – Open-ended questions are given once a week to tone problem-solving skills as well as acclimate the student to the types of problems he/she will receive on the final exam
- Tests – A formal test will occur on the last day of every week and after every unit
- Journals – Students will journal on facilitative prompts
The students will play games and get involved in deep discussiongs showing mastery of years of Jr. High mathematics geared towards honor-bound students. The recommended prerequisite courses and basic principles needed for this course are as follows:
- Problem Solving Skills
- Integer Addition and Subtraction
- Evaluating Numerical Expressions
- Distributive Property
- Reciprocals
- Ratios
- Solving Linear Single-step Equations
- Solving Linear Multi-step Equations
- Solving Inequalities
- Plotting Points
- Linear Equations & Their Graphs
- Slope-Intercept Form
- Writing Linear Equations
- Solving Systems of Equations
- Properties of Exponents
- Multiplying Binomials
- Radical Expressions and Their Simplification
- Solving Quadratic Equations in Standard Form of ax2 + c = 0
- Solving Quadratic Equations, ax2 + bx + c = 0, with the Quadratic Formula
- Solving Formulas for Specified Variables