K-8 Math/High School Geometry

High School Geometry

Common Core aligned

43 standards · 43 with slides · 36 with exercises

I
Congruence
1. Experiment with transformations in the plane
  1. HSG.CO.A.1Define geometric terms precisely
  2. HSG.CO.A.2Represent and describe transformations
  3. HSG.CO.A.3Describe transformation effects
  4. HSG.CO.A.4Define transformations formally
  5. HSG.CO.A.5Draw transformed figures
2. Understand congruence in terms of rigid motions
  1. HSG.CO.B.6Use rigid motions for congruence
  2. HSG.CO.B.7Prove triangles congruent
  3. HSG.CO.B.8Explain triangle congruence criteria
3. Prove geometric theorems
  1. HSG.CO.C.9Prove theorems about lines
  2. HSG.CO.C.10Prove theorems about triangles
  3. HSG.CO.C.11Prove theorems about parallelograms
4. Make geometric constructions
  1. HSG.CO.D.12Make geometric constructions
  2. HSG.CO.D.13Construct regular polygons in circle
II
Similarity, Right Triangles, and Trigonometry
1. Understand similarity in terms of similarity transformations
  1. HSG.SRT.A.1Verify dilation properties
  2. HSG.SRT.A.2Explain similarity transformations
  3. HSG.SRT.A.3Establish AA similarity criterion
2. Prove theorems involving similarity
  1. HSG.SRT.B.4Prove theorems using similarity
  2. HSG.SRT.B.5Use congruence and similarity to solve
3. Define trigonometric ratios and solve problems involving right triangles
  1. HSG.SRT.C.6Understand trigonometric ratios
  2. HSG.SRT.C.7Explain sine and cosine relationship
  3. HSG.SRT.C.8Solve right triangles
4. Apply trigonometry to general triangles
  1. HSG.SRT.D.9Derive triangle area formula
  2. HSG.SRT.D.10Prove Laws of Sines and Cosines
  3. HSG.SRT.D.11Apply Law of Sines and Cosines
III
Circles
1. Understand and apply theorems about circles
  1. HSG.C.A.1Prove circles similar
  2. HSG.C.A.2Identify circle relationships
  3. HSG.C.A.3Construct inscribed and circumscribed circles
  4. HSG.C.A.4Construct circle tangent line
2. Find arc lengths and areas of sectors of circles
  1. HSG.C.B.5Derive arc length formula
IV
Expressing Geometric Properties with Equations
1. Translate between the geometric description and the equation for a conic section
  1. HSG.GPE.A.1Derive circle equation
  2. HSG.GPE.A.2Derive parabola equation
  3. HSG.GPE.A.3Derive conic equations
2. Use coordinates to prove simple geometric theorems algebraically
  1. HSG.GPE.B.4Use coordinates to prove theorems
  2. HSG.GPE.B.5Prove slope criteria for lines
  3. HSG.GPE.B.6Find point partitioning segment
  4. HSG.GPE.B.7Use distance formula for area
V
Geometric Measurement and Dimension
1. Explain volume formulas and use them to solve problems
  1. HSG.GMD.A.1Explain circle area and volume formulas
  2. HSG.GMD.A.2Explain volume formulas
  3. HSG.GMD.A.3Use volume formulas to solve
2. Visualize relationships between two-dimensional and three-dimensional objects
  1. HSG.GMD.B.4Identify cross sections
VI
Modeling with Geometry
1. Apply geometric concepts in modeling situations
  1. HSG.MG.A.1Use shapes to describe objects
  2. HSG.MG.A.2Apply density in area and volume
  3. HSG.MG.A.3Apply geometry to design problems