Download Geometry Single Block

1st 9 Weeks
Geometry (Single Block)
Days
Section/Topic
Standards
Chapter 1: Tools of Geometry
1-1 Nets & Drawing 3D
1-2 Points, Lines, and Planes
7
1-3
1-7
1-4
1-5
Measuring Segments
Midpoint and Distance
Measuring Angles
Exploring Angle Pairs
G.3.a
1-6 Basic Constructions
( seg, , bisect., bisect , mdpt)
(CONCEPT BYTE: Exploring Constructions)
1-8 Perim., Circ. & Area
Review
Assessment / Benchmark
Chapter 2: Reasoning and Proof
2-1 Patterns & Induct. Reasoning
VA-1 Venn Diagrams
2-4 Deductive Reasoning
(Intro to Proofs?)
2-5 Reasoning in Alg. & Geo.
2-6 Proving Angles Congruent
Review
Assessment / Benchmark
Chapter 3: Parallel and Perpendicular Lines
3-1 Lines and Angles
(CONCEPT BYTE: || Lines & Related Angles)
3-2 Properties of Parallel Lines
3-4 Parallel and Perpendicular Lines
(CONCEPT BYTE: Planes)
3-3 Proving Lines Parallel
3-5 Parallel Lines and Triangles
3-6 Constructing Parallel and Perpendicular
Lines (2 ’s, || lines)
3-7 Equations of Lines in Coord. Plane
3-8 Slopes of || and  Lines
Review
Assessment / Benchmark
2 Days of Review
9 Week Benchmark
5
3
21 total
G.4.a,b,e,f
(& mdpt seg)
(2011-2012)
Vocabulary
Net, isometric, orthographic
Point, line, plane, collinear, coplanar, space, segment,
ray, opposite rays, postulate, axiom, intersection
Coordinate, distance, congruent segments, midpoint,
segment bisector
Angle, sides, vertex, measure , acute, right, obtuse,
straight, congruent 
Adjacent, vertical, comp., supp., linear pair,  bisect.
Straightedge, compass, construction,  lines,  bisect.
Perimeter, circumference, area
Prereq. for G.13&14
G.1.c
G.1.a, b
2-2 Conditional Statements
6
Prereq. for G.13&14
DOE Enhanced Scope and Sequence
G.1.d
G.1.d
Inductive reasoning, conjecture, counterexample
Venn Diagram
Conditional, hypothesis, conclusion, truth value,
negation, converse, inverse, contrapositive, equivalent
statements
Deductive reasoning, law of detachment, law of
syllogism
Reflexive, symmetric, transitive properties, proof
Theorem
Parallel lines, skew lines, parallel planes, transversal;
alt. interior, same-side interior, corresponding,
alternate exterior angles
G.2.c
G.1.d, G.2.a,b,c
G.2.c
G.4.c,d,f,g
G.3.a
G.2.a,b, G.3.b
Auxiliary line, exterior of poly., remote interior 
Slope, slope-intercept form eq., point-slope form eq.
2nd 9 Weeks
Geometry (Single Block)
Days
Section/Topic
Standards
DOE Enhanced Scope and Sequence
(2011-2012)
Vocabulary
Chapter 4: Tests for Congruent Triangles
5
4-1 Congruent Figures
4-2 SSS & SAS
4-3 ASA & AAS
(CONCEPT BYTE: Expl. AAA & SSA)
4-4 CPCTC
4-5 Isosceles & Equilateral Tri.
4-6 Congruence in Right Tri.
4-7 Congruence in Overlapping Triangles
Review
Assessment / Benchmark
Congruent polygons
G.4.a, G.6
G.6
Legs, base, vertex, base ’s of isosc.; corollary
Hypotenuse, legs of rt.
G.6
G.6
Chapter 5: Relationships Within Triangles
7
5-1 Midsegments of Triangles
5-5 Indirect Proof
5-2 Perpendicular and Angle Bisectors
(CONCEPT BYTE: Paper Folding Bisectors)
5-4 Medians and Altitudes
Constructions
(Review+, || & )
Mid-chapter Test
Midsegment of 
Indirect reasoning, indirect proof
G.1.d
Equidistant, distance from pt to line
Median, altitude, of 
G.4.b,c,d,g
Thanksgiving Break
5-6 Inequalities in One Triangle
5-7 Inequalities in Two Triangles
Review
Assessment / Benchmark
G.1.d, G.5.a,b,c,d
G.1.d
Chapter 6: Polygons and Quadrilaterals
7
(Review [1-7b]: Classifying Polygons)
(CONCEPT BYTE: Exterior Angles of Polygons)
6-1 Polygon-Angle Sum Thm
6-2 Properties of Parallelograms
6-3 Proving Quad. is a Parallelogram
6-4 Prop. of Rhombi, Rectangles & Squares
6-5 Conditions for Rh., Rect, & Squares
Mid-chapter Review/Quiz
6-6 Trapezoids and Kites
Review Part I
6-7 Polygons in Coordinate Plane
6-8 Applying Coordinate Geometry
Review Part II
Assessment / Benchmark
2 Days of Review
18 Week Benchmark
22 total
3
Equilateral, equiangular, regular polygons
G.10
G.9
G.9
G.9
G.9
Parallelogram, opposite sides & ’s, consecutive ’s
Rhombus, rectangle, square
Winter Break
G.9
G.2.b
G.2.b
Trapezoid, base, leg, base angle, isosceles trap.,
midseg. of trap., kite
3rd 9 Weeks
Geometry (Single Block)
Days
Section/Topic
Standards
Chapter 7: Similarity
7-1 Ratios & Proportions
G.14.d
7-2 Similar Polygons
G.7
7-3 Proving Triangles Similar
G.7
7-4 Similarity in Right Triangles
(Geometric Mean)
7-5 Proportions in Triangles
Review
Assessment / Benchmark
(Alg Review p399 Simplifying Radicals)
Chapter 8: Right Triangles and Trigonometry
Concept Byte: The Pythagorean Theorem
G.8
8-1 The Pythagorean Theorem and its Converse
VA Standards Review: Pythagorean Theorem
Review Distance Formula (1-7)
G.8
8-2 Special Right Triangles
G.8
8-3 Trigonometry
G.8
8-4 Angles of Elevation and Depression
Review
Assessment / Benchmark **start mini-reviews**
Chapter 9: Transformations
G.3.d
9-1 Translations
Concept Byte: Tracing Paper Transf. (Activ.1)
Concept Byte: Paper Folding and Reflections
G.3.d
9-2 Reflections
Concept Byte: Tracing Paper Trasf. (Activ.3)
G.3.d
9-3 Rotations
Concept Byte: Tracing Paper Trasf. (Activ.2)
VA-2 Rotations on the Coordinate Plane
G.3.c
9-4 Symmetry
G.3.d
9-5 Dilations
Review
Assessment / Benchmark **start mini-reviews**
Chapter 10: Area
G.14.a
10-1 Areas of Parallelograms & Triangles
G.14.a
10-2 Areas of Trapezoids, Rhombuses, & Kites
G.14.a
10-3 Areas of Regular Polygons
G.14.a,c,d
10-4 Perimeters & Areas of Similar Figures
10-5 Trigonometry & Area
G.11.b,c
10-6 Circles & Arcs
G.11.c
10-7 Areas of Circles & Sectors
Review
5
6
4
5
DOE Enhanced Scope and Sequence
(2011-2012)
Vocabulary
Ratio, proportion, extremes, means, cross-products
Similar figures & polygons, scale factor & drawing
Indirect measurement
Geometric mean
Pythagorean theorem, Pythagorean triple
Trigonometric ratios, sine, cosine, tangent
Angles of elevation & depression
Transformation, pre-image, image, isometry,
translation, composition of transformations
Reflection, line of reflection
Rotation, center & angle of rotation, center of reg.
poly.
Symmetry, linear & rotational symmetry,
Dilation, center of dilation, scale factor, enlargement,
reduction
Base, altitude, height of a paral.; base & height of a 
Height of a trap.
Radius & apothem of reg. poly.
Circle, center, diameter, radius,  circ., central angle,
major/minor arcs, semi-circ., adjacent arcs, circum.,
pi, concentric circ., arc length,  arcs
Sector, segment of a circ.
Assessment / Benchmark **start mini-reviews**
1 Day of Review **start mini-reviews earlier**
27 Week Benchmark (partial released test)
22 total
***This assumes that the SOL test will be the week before Memorial Day. If this is not the case, then adjustments can be made to condense/extend these time-frames.
2
Geometry (Single Block)
Days
Section/Topic
Chapter 11:
11-1
11-2
11-3
Surface Area and Volume
Space Figures & Cross Sections
Surface Areas of Prisms & Cylinders
Surface Areas of Pyramids & Cones
4th 9 Weeks
Standards
DOE Enhanced Scope and Sequence
(2011-2012)
Vocabulary
Polyhedron, face, edge, vertex, cross-section, Base
Base, lateral face & area, altitude, height, surf. area
of prisms & cylinders, right/oblique
Base, lateral face & area, vertex, altitude, height,
slant height, surface area, regular/right of pyramids
& cones,
G.13
G.13, G.14.b
Review / Mid-Chapter Mini-Assessment
7
Spring Break
11-4 Volumes of Prisms & Cylinders
11-5 Volumes of Pyramids & Cones
11-6 Surface Areas & Volumes of Spheres
11-7 Areas & Volumes of Similar Solids
Review
Assessment / Benchmark
Chapter 12: Circles
Review Circles
12-5 Circles in the Coordinate Plane
VA Standards Review: Equation of a Circle
12-1 Tangent Lines
12-2 Chords & Arcs
12-3 Inscribed Angles
12-4a Angle Measures
12-4b Segment Lengths
Review
Assessment / Benchmark
Review
Benchmark Released Test (labs may be full for SOL
7
4+
G.13, G.14.b
G.13, G.14.b
G.13
G.13, G.14.a,b,c,d
Volume, composite space figure
Volumes of pyramids & cones
Sphere, center, radius, diameter, circumference, great
circle, hemisphere
Similar solids
Standard for of the equation of a circle
G.12
G.11.a,b
G.11.a,b
G.11.a
G.11.a,b
G.11.a,b
Tangent to a circle, point of tangency
Chords, arcs
Inscribed angle, intercepted arc
Secant
Secant
Testingpaper pencil?)
Review / Remediation
Review / Remediation
18 total
***This assumes that the SOL test will be the week before Memorial Day. If this is not the case, then adjustments can be made to condense/extend these time-frames.
Suggested Topics for After SOL Tests
 Law of Sines/Cosines
 Algebra Review
o Factoring
o Quadratics
o Simplifying Radicals
o Solving Equations
 Tessellations

Indirect Measurement