AGES 10 - 15

Introduction to Geometry

Students in grades 6-10 will build a solid understanding of more challenging geometry concepts in this course. It is designed to expand on high school geometry topics to give students a deeper understanding of the topics and to challenge them with new problems. Topics include congruent and similar triangles; circles; 3D geometry; and introductory trigonometry.

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Who is this course for
This Course is for Grade 5-Grade 9 Students who want to advance their knowledge in Geometry.
This course typically takes 3-6 months to complete. This depends on the student's experience and how fast they can master the concepts and the knowledge. Our instructors move at the pace of the student, it may take extra time for some students to reinforce what they have learned.
Curriculum
Chapter 1: What’s in a Name
Notation used in geometry, points, lines, and planes
Chapter 2: Angles
Angles, parallel lines, angles in a triangle, exterior angles
Chapter 3: Congruent Triangles
Learn to determine if two triangles are congruent, study properties of isosceles and equilateral triangles
Chapter 4: Perimeter and area
Perimeter, area
Chapter 5: Similar triangles
Learn to determine if two triangles are similar, properties of similar triangles
Chapter 6: Right Triangles
Pythagorean Theorem
Chapter 7: Special Parts of a triangle
Perpendicular and angle bisectors of a triangle, medians, altitudes
Chapter 8: Quadrilaterals
Trapezoids, parallelograms, Rhombi, rectangles, squares
Chapter 9: Polygons
Angles and area of polygons
Chapter 10: Geometric Inequalities
Sides and angles of a triangle, the triangle inequality
Chapter 11: Circles
Arc length, areas
Chapter 12: Circles and angles
Inscribed angles, tangents of circles
Chapter 13: Three-Dimensional Geometry
Planes, Prisms, Pyramids
Chapter 14: Curved Surfaces
Cylinders, Cones, Spheres
Chapter 15: The more things change
Translation, rotations, reflections, dilation
Chapter 16: Analytic Geometry
Geometry in coordinate plane, lines, Circles, distance between a point and a line.
Chapter 17: Introduction to trigonometry
Trigonometry ratios, law of sines, law of cosines
Chapter 18: Problem Solving Strategies in geometry
Techniques to solve geometry problems, including adding auxiliary lines
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