Age group: 15-19
Geometry - Introduction to Congruent Figures - Proving Triangle Congruence - Transformations - Quadrilaterals - Symmetry - Similarity - Area and Perimeter Introduction to Congruent Figures - Congruence Statements and Corresponding Parts - Solve Problems Involving Corresponding Parts - Identify Congruent Figures - Introduction to Congruent Figures: Assignment Proving Triangle Congruence - Using SSS Theorem - Using ASA Theorem - Using AAS Theorem - Proving Triangles Congruent by SSS and SSA - Proving Triangles Congruent by ASA and AAS - SSS Theorem in the Coordinate Plane - Proving Triangles Congruent by SSS, SAS, ASA, and AAS - Proofs Involving Corresponding Parts of Congruent Triangles - Congruence in Isosceles and Equilateral Triangles - Proofs Involving Isosceles Triangles - Hypotenuse-Leg Theorem - Proving Triangle Congruence: Assignment Transformations - Classify Congruence Transformations - Translations: Graph the Image - Translations: Find the Coordinates - Translations: Write the Rule - Reflections: Graph the Image - Reflections: Find the Coordinates - Rotate Polygons About a Point - Rotations: Graph the Image - Rotations: Find the Coordinates - Glide Reflections: Graph the Image - Sequences of Congruence Transformations: Graph the Image - Transformations That Carry a Polygon Onto Itself - Congruence Transformations That Carry a Polygon Onto Itself - Congruence Transformations: Mixed Review - Dilation: Find the Coordinates - Dilation: Graph the Image - Dilation: Find Length, Perimeter, and Area - Dilation: Find the Scale Factor - Dilation: Find the Scale Factor and Center of the Dilation - Dilation and Parallel Lines - Transformations in the Plane - Transformations of Geometric Figures - Rigid Motion and Congruence - Transformations: Assignment Sequences of Congruence Transformations: Graph the Image - Sequences of Congruence Transformations: Find the Rules Transformations: Assignment - Revise the Concepts Quadrilaterals - Identify Trapezoids - Classify the Quadrilaterals - Find Missing Angles in Quadrilaterals - Graph Quadrilaterals - Properties of Parallelograms - Proving a Quadrilateral Is a Parallelogram - Properties of Rhombuses - Properties of Squares and Rectangles - Properties of Trapezoids - Properties of Kites - Classify Shapes on the Coordinate Plane - Proofs Involving Triangles and Quadrilaterals - Parallelograms Theorems - Quadrilaterals: Assignment Symmetry - Line Symmetry - Rotational Symmetry - Draw Lines of Symmetry - Count Lines of Symmetry - Symmetry: Assignment Similarity - Similarity Ratios - Similarity Statements - Identify Similar Figures - Side Lengths and Angle Measures in Similar Figures - Similar Triangles and Indirect Measurement - Perimeters of Similar Figures - Angle-Angle Criterion for Similar Triangles - Similarity Rules for Triangles - Similar Triangles and Similarity Transformations - Similarity of Circles - Triangle Proportionality Theorem - Similarity and Altitudes in Right Triangles - Areas of Similar Figures - Prove Similarity Statements - Prove Proportions or Angle Congruence Using Similarity - Proofs Involving Similarity in Right Triangles - Prove the Pythagorean Theorem - Converse of the Pythagorean Theorem - Pythagorean Inequality Theorems - Special Right Triangles - Similarity Transformations - Triangle Similarity and Congruence - Prove Circles Are Similar - Similarity: Assignment Area and Perimeter - Perimeter - Area of Rectangles and Squares - Area of Parallelograms and Triangles - Area of Trapezoids - Area of Rhombuses - Area and Perimeter in the Coordinate Plane - Area and Circumference of Circles - Area of Compound Figures - Area Between Two Shapes - Area and Perimeter of Similar Figures - Perimeter and Area: Changes in Scale - Heron's Formula - Area and Perimeter: Assignment Area and Perimeter: Assignment - Revise the Concepts
Should have completed the middle school maths
Enthuziasm to learn higher maths
Investigating three-dimensional shapes such as prisms, pyramids, cylinders, cones, and spheres, including surface area, volume, and related applications.
Applying coordinate geometry techniques to analyze geometric shapes on the coordinate plane and solve related problems.
Exploring the properties of quadrilaterals and other polygons, including special relationships like parallelograms, trapezoids, and regular polygons.
Developing a deep understanding of transformations, including translations, rotations, reflections, and dilations, and applying them to geometric figures.
Mastering geometric proofs and logical reasoning to solve complex problems involving triangles, circles, and polygons.
Conceptual clarity in congruency and similarity of triangles
Understanding of the difference between transformation, rotation, reflection, and dilation
Skill in calculating the surface area and volume of simple to complex figures
Deep insight into the properties of quadrilaterals
Enthuziasm to explore more concepts of geometry
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