Mathematics

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.

Chapter 1: What’s in a Name
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Notation used in geometry, points, lines, and planes
Chapter 2: Angles
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Angles, parallel lines, angles in a triangle, exterior angles
Chapter 3: Congruent Triangles
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Learn to determine if two triangles are congruent, study properties of isosceles and equilateral triangles
Chapter 4: Perimeter and area
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Perimeter, area
Chapter 5: Similar triangles
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Learn to determine if two triangles are similar, properties of similar triangles
Chapter 6: Right Triangles
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Pythagorean Theorem
Chapter 7: Special Parts of a triangle
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Perpendicular and angle bisectors of a triangle, medians, altitudes
Chapter 8: Quadrilaterals
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Trapezoids, parallelograms, Rhombi, rectangles, squares
Chapter 9: Polygons
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Angles and area of polygons
Chapter 10: Geometric Inequalities
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Sides and angles of a triangle, the triangle inequality
Chapter 11: Circles
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Arc length, areas
Chapter 12: Circles and angles
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Inscribed angles, tangents of circles
Chapter 13: Three-Dimensional Geometry
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Planes, Prisms, Pyramids
Chapter 14: Curved Surfaces
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Cylinders, Cones, Spheres
Chapter 15: The more things change
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Translation, rotations, reflections, dilation
Chapter 16: Analytic Geometry
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Geometry in coordinate plane, lines, Circles, distance between a point and a line.
Chapter 17: Introduction to trigonometry
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Trigonometry ratios, law of sines, law of cosines
Chapter 18: Problem Solving Strategies in geometry
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Techniques to solve geometry problems, including adding auxiliary lines

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This Course is for Grade 5-Grade 9 Students who want to advance their knowledge in Geometry.

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Level: 
AGES 10 - 15
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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.

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