Age group: 10-17
Geometry - Points, Lines, Line Segments, and Planes - Angles - Parallel and Perpendicular Lines - Lines in the Coordinate Plane - Two-dimensional Figures - Triangles - Reasoning and Proofs Points, Lines, Line Segments, and Planes - Lines, Line Segments, and Rays - Properties of Planes, Lines, and Points - Describe Intersections in a Plane - Lengths of Segments on Number Lines - Additive Property of Length - Midpoints - Congruent Line Segments - Construct a Congruent Segment - Perpendicular Bisector Theorem - Midpoint Formula : Find the Midpoint - Partition a Line Segment in a Given Ratio - Midpoint Formula : Find the Endpoint - Distance Formula - Distance to the Origin in Three Dimensions - Construct the Midpoint or Perpendicular Bisector of a Segment - Points, Lines, Line Segments, and Planes: Assignment Angles - Angle Vocabulary - Angle Measures - Identify Complementary, Supplementary, Vertical, Adjacent, and Congruent Angles - Find Measures of Complementary, Supplementary, Vertical, and Adjacent Angles - Angle Diagrams : Solve for the Variable - Angle Bisectors - Construct an Angle Bisector - Construct a Congruent Angle - Proofs Involving Angles - Angles: Assignment Parallel and Perpendicular Lines - Concept of Parallel Lines, Skew Lines and Parallel Planes - Identifying Parallel and Perpendicular Lines - Transversal - Identifying Pair of Angles - Use Properties of Parallel Lines - Constructing Parallel Lines - Using Corresponding Angles Converse - Prove Theorems About Parallel Lines - Using Transitive Theory of Parallel Lines - Finding Distance from a Point to a Line - Construct Perpendicular Lines - Prove Theorems About Perpendicular Lines - Portioning a Directed Line Segment - Parallel and Perpendicular Lines: Assignment Parallel and Perpendicular Lines: Assignment - Revise the Concepts Lines in the Coordinate Plane - Coordinate Plane Review - Slopes of Lines - Graph a Linear Equation - Equation of Lines - Slopes of Parallel and Perpendicular Lines - Find the Distance Between a Point and a Line - Find the Distance Between Two Parallel Lines - Lines in the Coordinate Plane: Assignment Two-dimensional Figures - Polygon Vocabulary - Interior Angles of Polygons - Exterior Angles of Polygons - Construct an Equilateral Triangle or Regular Hexagon - Construct a Square - Two-dimensional Figures: Assignment Triangles - Classify Triangles - Triangle Angle-sum Theorem - Exterior Angle Theorem - Exterior Angle Inequality - Finding and Constructing Circumcenter of Triangle - Circumcenter Theorem - Construction - Using Incenter of a Triangle - Inscribing a Circle Within a Triangle - Use Medians and Find the Centroids of Triangle - Centroid Theorem - Using Altitude of a Triangle - Finding and Constructing Orthocenter of a Triangle - Proving a Property of Isosceles Triangles - Using the Mid segment of Triangle in Coordinate Plane - Using Triangle Mid Segment Theorem to Find Distance - Proving Theorems - Writing Indirect Proof - Ordering Angle Measures of a Triangle - Ordering Side Lengths of a Triangle - Triangle Inequality Theorems - Comparing Measures in Triangles - The Hinge Theorem - Proving Triangle Relationships - Triangles: Practice Reasoning and Proofs - Identify Hypotheses and Conclusions - Counterexamples - Conditionals - Negations - Converses, Inverses, and Contra-positives - Bi-conditionals - Truth Tables - Truth Values - Reasoning and Proofs: Assignment Reasoning and Proofs: Assignment - Revision the Concepts
Should have completed the middle school maths
Enthuziasm to learn higher maths
Developing the ability to construct geometric figures using a compass, ruler, and protractor accurately.
Applying geometric concepts to solve problems involving area, perimeter, and volume calculations.
Learning about fundamental geometric principles such as the Pythagorean theorem and the properties of parallel and perpendicular lines.
Introducing geometric transformations like translations, rotations, and reflections.
Understanding basic geometric shapes such as triangles, circles, squares, and their properties (e.g., angles, sides).
Conceptual clarity in the subject
Understanding of properties of parallel lines and corresponding angles
Ability to construct perpendicular lines and triangles
Deep-insight into the properties of triangles
Understanding of assuming hypothesis and drawing the conclusion
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