Math: Essentials Ages 14-18 ● Media ready

Geometry essentials

Explore essential geometry concepts including transformations, congruence, similarity, and trigonometry while building problem-solving and reasoning skills. Analyze shapes, angles, and coordinate relationships through interactive practice and proofs. Apply geometric principles to understand both two- and three-dimensional figures in real-world and mathematical contexts.

8 units 54 lessons 3 videos 3 on CDN

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Unit 2 Performing transformations

1 Intro to Euclidean geometry Free 2 Rotations Free 1 video(s) ● 3 Reflections Free 1 video(s) ● 4 Dilations 🔒 Pro 1 video(s) ● 8 Solid geometry: Unit test 🔒 Pro

Unit 3 Transformation properties and proofs

1 Properties & definitions of transformations 🔒 Pro 2 Symmetry 🔒 Pro 3 Proofs with transformations 🔒 Pro

Unit 4 Congruence

1 Transformations & congruence 🔒 Pro 2 Triangle congruence from transformations 🔒 Pro 3 Congruent triangles 🔒 Pro 5 Theorems concerning triangle properties 🔒 Pro 6 Working with triangles 🔒 Pro 8 Theorems concerning quadrilateral properties 🔒 Pro 9 Proofs of general theorems 🔒 Pro 10 Constructing lines & angles 🔒 Pro

Unit 5 Similarity

1 Introduction to triangle similarity 🔒 Pro 3 Solving similar triangles 🔒 Pro 4 Angle bisector theorem 🔒 Pro 6 Solving problems with similar & congruent triangles 🔒 Pro 7 Proving relationships using similarity 🔒 Pro 9 Solving modeling problems with similar & congruent triangles 🔒 Pro

Unit 6 Right triangles & trigonometry

1 Pythagorean theorem 🔒 Pro 2 Special right triangles 🔒 Pro 3 Ratios in right triangles 🔒 Pro 4 Introduction to the trigonometric ratios 🔒 Pro 5 Solving for a side in a right triangle using the trigonometric ratios 🔒 Pro 6 Solving for an angle in a right triangle using the trigonometric ratios 🔒 Pro 8 Sine & cosine of complementary angles 🔒 Pro 9 Modeling with right triangles 🔒 Pro

Unit 7 Analytic geometry

1 Distance and midpoints 🔒 Pro 2 Dividing line segments 🔒 Pro 4 Problem solving with distance on the coordinate plane 🔒 Pro 6 Parallel & perpendicular lines on the coordinate plane 🔒 Pro 7 Equations of parallel & perpendicular lines 🔒 Pro

Unit 8 Circles

1 Conic sections 🔒 Pro 2 Standard equation of a circle 🔒 Pro 3 Circle basics 🔒 Pro 5 Arc measure 🔒 Pro 6 Arc length (from degrees) 🔒 Pro 8 Introduction to radians 🔒 Pro 9 Arc length (from radians) 🔒 Pro 10 Sectors 🔒 Pro 12 Inscribed angles 🔒 Pro 13 Inscribed shapes problem solving 🔒 Pro 14 Proofs with inscribed shapes 🔒 Pro 15 Properties of tangents 🔒 Pro 17 Constructing regular polygons inscribed in circles 🔒 Pro 18 Constructing circumcircles & incircles 🔒 Pro 19 Constructing a line tangent to a circle 🔒 Pro

Unit 9 Solid geometry

1 2D vs. 3D objects 🔒 Pro 3 Cavalieri's principle and dissection methods 🔒 Pro 5 Volume 🔒 Pro 6 Density 🔒 Pro