Download HS 03 Geometry Overview (Prentice Hall)

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HS 03 Geometry Overview (Prentice Hall)
Section
1.2
1.3
1.4
1.5
2.5
12.1
12.2
Topic
Points, Lines, and Planes
Segments, Rays, Parallel Lines and Planes
Measuring Segments and Angles
Basic Constructions
Proving Angles Congruent
Reflections
Translations
12.3
12.4
3.1
3.2
3.3
3.4
4.1
4.2
4.3
4.5
5.1
5.2
5.3
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6.2
6.3
Rotations
Composition of Reflections
Properties of Parallel Lines
Proving Lines Parallel
Triangle Angle Sum Theorems
Polygon Angle Sum Theorems
Congruence
Triangle Congruence by SSS and SAS
Triangle Congruence by ASA and AAS
Isosceles and Equilateral Triangles
Midsegments in Triangles
Bisectors in Triangles
Medians
Constructions
Properties of Parallelograms
Proving Parallelograms
6.4
Special Parallelograms
Domain
Cluster
Experiment with Transformations in the Plane
(G.CO.1, G.CO.2, G.CO.3, G.CO.4, G.CO.5)
Understanding Congruence in terms of rigid motion
(G.CO.6, G.CO.7, G.CO.8)
Prove Geometric Theorems
(G.CO.9, G.CO.10, G.CO.11)
Congruence (12 weeks)
Unit
1
Make Geometric Constructions
(G.CO.12, G.CO.13)
supp
9.5
Supp
3 1.7
10.2
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10.5
10.6
10.7
?Application: Minimizing Cost
(Trigonometry and Area)
(Law of Sines and Cosines)
Perimeter, Circumference, and Area
Cross Sections of 3-d Figures
Rotating 2-d Objects
Volumes of Prisms and Cylinders
Volumes of Pyramids and Cones
Volume of Spheres
Geometric
Measurement
and Dimension*
(3 weeks)
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Dilations
Similar Polygons
Proving Triangles Similar
Similarity in Right Triangles
Proportions in Triangles
The Tangent Ratio
Sine and Cosine Ratios
Proving Trig Ratios Equal
Trig and Complementary Angles
Angles of Elevation and Depression
Indirect Measurement
? Density
Similarity, Right Triangles and Trigonometry*
(5 weeks)
12.7
8.2
8.3
8.4
8.5
9.1
9.2
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9.3
4 1.6
3.5
3.6
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6.6
6.7
11.5
Distance and Midpoint
Lines in the Coordinate Plane
Slopes of Parallel and Perpendicular Lines
Partitioning Segments into a Given Ratio
Equations of Parabolas Using the Focus and Directrix
Figures in the Coordinate Plane
Proof in Coordinate Geometry
Circles in the Coordinate Plane
Express Geometric
Properties with
Equations* (4 weeks)
2
Understand similarity in terms of similarity
transformations.
(G.SRT.1a, G.SRT.1b, G.SRT.2, G.SRT.3)
Prove theorems involving similarity
(G.SRT.4, G.SRT.5)
Define Trigonometric Ratios and solve problems involving
triangles
(G.SRT.6, G.SRT.7, G.SRT.8)
Apply geometric concepts in modeling situations
(G.MG.1, G.MG.2, G.MG.3)
Apply trigonometry to general triangles
(G.SRT.9, G.SRT.10, G.SRT.11)
Explain volume formulas and use them to solve problems
(G.GMD.1, G.GMD3)
Visualize the relationship between 2- and 3-dimensional
objects
(G.GMD.4)
Apply geometric concepts in modeling situations
(G.MG.1, G.MG.2, G.MG.3)
Use coordinates to prove simple geometric theorems
algebraically
(G.GPE.4, G.GPE.5, G.GPE.6, G.GPE.7)
Translate between the geometric description and the
equation of a conic section
(G.GPE.1, G.GPE.2)
Angle Bisectors and Perpendicular Bisectors
Relationships in the Inscribed Quadrilateral
Arc Length and Sector Area
Tangent Lines
Chords and Arcs
Inscribed Angles
Angle Measures and Segment Lengths
Circles and Completing the Square
Radii and Intercepted Arcs
Introduction to Radian Measure
Circles* (4 weeks)
5 5.3
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7.7
11.1
11.2
11.3
11.4
11.5
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Conditional Probability and the Rules of
Probability;
Using Probability to Make Decisions
(6 weeks)
6
*Includes Modeling with Geometry
Understand and apply theorems about circles
(G.C.1, G.C.2, G.C.4, G.C.4(+))
Find arc lengths and area of sectors
(G.C.5)
Use coordinates to prove simple geometric theorems
algebraically
(G.GPE.4)
Translate between the geometric description and the
equation of a conic section
(G.GPE.1)
Apply geometric concepts in modeling situations
(G.MG.1, G.MG.2, G.MG.3)
Understand independence and conditional probability
and use them to interpret data
(S.CP.1, S.CP.2, S.CP.3, S.CP.4, S.CP.5)
Use the rules of probability to compute probabilities of
compound events in a uniform probability model
(S.CP.6, S.CP.7, (+)S.CP.8, (+)S.CP.9)
Use probability to evaluate outcomes of decisions
((+) S.MD.6, S.MD.7)