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Basic Geometry

The student is introduced to basic concepts of Euler's Geometry like Points, Lines and Planes. In addition concepts like Perimeter and Area of 2D figures, Surface area and Volume of 3D objects are taught. Basic Geometry also introduces the student to Coordinate Planes.

Euler's Geometry

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Introduction to Points, Lines, Line Segments, Rays, Planes
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How to measure angles using a Protractor
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Classifying Angles based on their measurement
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Understanding of Parallel and Perpendicular Lines

2D Planar Figures

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Classifying Triangles based on their Angles and Sides
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Pythagorean Theorem for Right Triangles
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Introduction and Classification of Quadrilaterals
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Properties of Quadrilaterals
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Calculating the Perimeter/Area of Triangles and Quadrilaterals, Word Problems about Perimeter/Area
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Calculating the Area/Perimeter of Circles
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Decomposing complex 2D figures to find their area

3D Objects

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Understanding of Surface Area and Volume of a 3D figure
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Calculating the Surface Area and Volume of Cubes and Cuboids
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Surface Area and Volume of Cones, Cylinders, Spheres
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Word Problems related to Volume and Surface Area
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Decompose Complex 3D Objects to find it's volume

Coordinate Plane

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Introduction to the Coordinate Plane terms like Quadrants, Axes, Origin
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Word Problems related to Quadrants and Points on the Plane
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Understanding geometric transformations like translation, rotation, reflection and scaling on the coordinate plane
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Understanding Congruence and Similarity in Coordinate Planeaqa

Advanced Geometry

More advanced topics in different geometric shapes like Triangles, Quadrilaterals and Circles are introduced to the student. Concepts like Pythagorean Theorem, Congruency, Similarity in Triangles are very important. Basic concepts of Trigonometry based on Right Triangles are also taught which will be a bridge to more complex trigonometry concepts in Pre-Calculus.

Advanced Concepts in Triangles and Quadrilaterals

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Introduction to concept of Congruent Triangles and understanding of theorems of congruence for Triangles
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Working on problems pertaining to congruence of Triangles
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Important Properties of Triangles like Angle Sum Theorem, Theorem of Inequality in Triangle sides
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Special Properties of Isoceles and Equilateral Triangles
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Special Properties of Parallelograms and Rhombus

Trigonometric Ratios in Right Triangles

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Introduction to Trigonometric Ratios for Right Triangles
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Trigonometric Ratios for Special Angles and their Proofs
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Solving for a missing side or missing angle in a Right Triangle
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Complementary Relationships between trigonometric ratios
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Word Problems modeled based on Right Triangles

Analytic Geometry

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Studying Parallel and Perpendicular Lines in a Coordinate Plane and relationships between their slopes, writing linear equations
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Distance Formula proof and problems
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Midpoint Formula proof and problems
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Standard and Expanded equation of a Circle

Advanced Concepts in Circles

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Familiarize with basic definitions in a circle and basic relationships like Area, Circumference and relation between radius and diameter
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Arc length and Sector Area formulas and word problems
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Understanding of important theorems related to Chords and Angles inscribed in a Circle and Proofs for these theorems
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Properties of Tangents
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Geometric Construction of Regular Polygons inscribed in a Circle, Incircles, Circumcircles and Tangents at a Point

Geometry

Basic Geometry

Advanced Geometry

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Testimonials

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Basic Geometry

Advanced Geometry

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