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Common Core Math - HS Geometry
Common Core Math - HS Geometry
43 standards ยท 43 with slides
I
Congruence
Experiment with transformations in the plane
1
Define geometric terms precisely
2
Represent and describe transformations
3
Describe transformation effects
4
Define transformations formally
5
Draw transformed figures
Understand congruence in terms of rigid motions
1
Use rigid motions for congruence
2
Prove triangles congruent
3
Explain triangle congruence criteria
Prove geometric theorems
1
Prove theorems about lines
2
Prove theorems about triangles
3
Prove theorems about parallelograms
Make geometric constructions
1
Make geometric constructions
2
Construct regular polygons in circle
II
Similarity, Right Triangles, and Trigonometry
Understand similarity in terms of similarity transformations
1
Verify dilation properties
2
Explain similarity transformations
3
Establish AA similarity criterion
Prove theorems involving similarity
1
Prove theorems using similarity
2
Use congruence and similarity to solve
Define trigonometric ratios and solve problems involving right triangles
1
Understand trigonometric ratios
2
Explain sine and cosine relationship
3
Solve right triangles
Apply trigonometry to general triangles
1
Derive triangle area formula
2
Prove Laws of Sines and Cosines
3
Apply Law of Sines and Cosines
III
Circles
Understand and apply theorems about circles
1
Prove circles similar
2
Identify circle relationships
3
Construct inscribed and circumscribed circles
4
Construct circle tangent line
Find arc lengths and areas of sectors of circles
1
Derive arc length formula
IV
Expressing Geometric Properties with Equations
Translate between the geometric description and the equation for a conic section
1
Derive circle equation
2
Derive parabola equation
3
Derive conic equations
Use coordinates to prove simple geometric theorems algebraically
1
Use coordinates to prove theorems
2
Prove slope criteria for lines
3
Find point partitioning segment
4
Use distance formula for area
V
Geometric Measurement and Dimension
Explain volume formulas and use them to solve problems
1
Explain circle area and volume formulas
2
Explain volume formulas
3
Use volume formulas to solve
Visualize relationships between two-dimensional and three-dimensional objects
1
Identify cross sections
VI
Modeling with Geometry
Apply geometric concepts in modeling situations
1
Use shapes to describe objects
2
Apply density in area and volume
3
Apply geometry to design problems