Geometry (Single Block) 1St 9 Weeks (Revised 8/15/12 10:00AM) (2012-2013)

Geometry (Single Block) 1st 9 Weeks (revised 8/15/12 10:00AM) (2012-2013)

Days / Section/Topic / Standards / DOE Curriculum Framework / Vocabulary /
Chapter 1A: Tools of Geometry (Segments)
5 / 1-1 Nets & Drawing 3D (quick intro on first day only) / Prereq. for G.13&14 / Net, isometric, orthographic
1-2 Points, Lines, and Planes / Point, line, plane, collinear, coplanar, space, segment, ray, opposite rays, postulate, axiom, intersection
1-3 Measuring Segments
1-7 Midpoint and Distance / G.3.a / Coordinate, distance, congruent segments, midpoint, segment bisector
Review
Assessment / Benchmark (mobile lab 9/8-9)
Chapter 1B: Tools of Geometry (Angles, Constructions, Circles)
4 / 1-4 Measuring Angles
1-5 Exploring Angle Pairs / Ð, sides, vertex, measure Ð, acute, right, obtuse, straight, @Ð
AdjacentÐ, vertical, comp., supp., linear pair, Ð bisect.
1-6 Basic Constructions
(@ seg, @Ð, ^bisect., bisect Ð, mdpt)
(Concept Byte: Exploring Constructions)
VA-3 Justifying a Construction / G.4.a,b,e,f
(& mdpt seg) / Straightedge, compass, construction, ^ lines, ^ bisect.
Review (Ch 1 A & B)
Assessment (A&B) / Benchmark (mobile lab 9/8-9)
Chapter 2: Reasoning and Proof
6 / VA-1 Venn Diagrams
2-1 Patterns & Induct. Reasoning / G.1.c / Venn Diagram
Inductive reasoning, conjecture, counterexample
2-2 Conditional Statements
2-3 Biconditionals and Definitions / G.1.a, b / Conditional, hypothesis, conclusion, truth value, negation, conv., inverse, ContPos., equivalent statements, Biconditional
2-4 Deductive Reasoning (Intro to Proofs!) / G.1.d / Deductive reasoning, law of detachment, law of syllogism
2-5 Reasoning in Alg. & Geo.
2-6 Proving Angles Congruent / G.1.d / Reflexive, symmetric, transitive properties, proof
Theorem
Review
Assessment / Benchmark (mobile lab 9/26-27)
Chapter 3: Parallel and Perpendicular Lines
5 / 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) / G.2.c / Parallel lines, skew lines, parallel planes, transversal; alt. interior, same-side interior, corresponding, alternate exterior angles
3-3 Proving Lines Parallel
3-5 Parallel Lines and Triangles / G.1.d, G.2.a,b,c
G.2.c / Auxiliary line, exterior Ðof poly., remote interior Ð
3-6 Constructing Parallel and Perpendicular Lines (2 ^’s, || lines)
3-7 Equations of Lines in Coord. Plane
3-8 Slopes of || and ^ Lines / G.4.c,d,f,g
G.3.a
G.2.a,b, G.3.b / Slope, slope-intercept form eq., point-slope form eq.
Review
Assessment / Benchmark (mobile lab 10/10-11)
Benchmark
2 / 1 Day of Review
9 Week Benchmark (labs 10/20-25)
22 total

Geometry (Single Block) 2nd 9 Weeks (revised 8/15/12 10:00AM) (2012-2013)

Days / Section/Topic / Standards / DOE Curriculum Framework / Vocabulary /
Chapter 4: Tests for Congruent Triangles
4 / 4-1 Congruent Figures
4-2 SSS & SAS
4-3 ASA & AAS
(Concept Byte: Expl. AAA & SSA) / G.4.a, G.6
G.6 / Congruent polygons
4-4 CPCTC
4-5 Isosceles & Equilateral Tri.
4-6 Congruence in Right Tri. / G.6 / Legs, base, vertex, base Ð’s of isosc.D; corollary
Hypotenuse, legs of rt.D
4-7 Congruence in Overlapping Triangles
Review / G.6
Assessment / Benchmark (mobile lab 11/7-9)
Chapter 5: Relationships Within Triangles
7 / 5-1 Midsegments of Triangles
5-5 Indirect Proof / G.1.d / Midsegment of D
Indirect reasoning, indirect proof
5-2 Perpendicular and Angle Bisectors
(Concept Byte: Paper Folding Bisectors)
5-4 Medians and Altitudes / Equidistant, distance from pt to line
Median, altitude, of D
Review
Mid-chapter Test
Thanksgiving Break
Constructions
(Review+, || & ^)
5-3 (Construct Inscribed & Circumscribed) / G.4.b,c,d,g
5-6 Inequalities in One Triangle
5-7 Inequalities in Two Triangles / G.1.d, G.5.a,b,c,d
G.1.d
Review
Assessment / Benchmark (mobile lab 12/1-2)
Chapter 9: Transformations
4 / 9-1 Translations
Concept Byte: Tracing Paper Transf. (Activ.1)
Concept Byte: Paper Folding and Reflections
9-2 Reflections
Concept Byte: Tracing Paper Trasf. (Activ.3) / G.3.d
G.3.d / Transformation, pre-image, image, isometry, translation, composition of transformations
Reflection, line of reflection
9-3 Rotations
Concept Byte: Tracing Paper Trasf. (Activ.2)
VA-2 Rotations on the Coordinate Plane
9-4 Symmetry / G.3.d
G.3.c / Rotation, center & angle of rotation, center of reg. poly.
Symmetry, linear & rotational symmetry,
9-5 Dilations
9-6 Compositions of Reflections
Review / G.3.d / Dilation, center of dilation, scale factor, enlargement, reduction
Glide Reflection
Assessment / Benchmark (mobile lab 2/28-29)
Winter Break
Benchmark
3 / 2 Day of Review
18 Week Benchmark (labs 1/11-13)
18 total

Geometry (Single Block) 3rd 9 Weeks (revised 8/15/12 10:00AM) (2012-2013)

Days / Section/Topic / Standards / DOE Curriculum Framework / Vocabulary /
Chapter 6: Polygons and Quadrilaterals
5 / (Review [1-7b]: Classifying Polygons)
(Concept Byte: Exterior Angles of Polygons)
6-1 Polygon-Angle Sum Thm / G.10 / Equilateral, equiangular, regular polygons
6-2 Properties of Parallelograms
6-3 Proving Quad. is a Parallelogram / G.9
G.9 / Parallelogram, opposite sides & Ð’s, consecutive Ð’s
6-4 Prop. of Rhombi, Rectangles & Squares
6-5 Conditions for Rh., Rect, & Squares
6-6 Trapezoids and Kites / G.9
G.9 / Rhombus, rectangle, square
Trapezoid, base, leg, base angle, isosceles trap., midseg. of trap., kite
6-7 Polygons in Coordinate Plane
6-8 Applying Coordinate Geometry
Ch Review Part / G.2.b
G.2.b
Assessment / Benchmark (mobile lab 1/4-5)
Chapter 7: Similarity
5 / 7-1 Ratios & Proportions
7-2 Similar Polygons / G.14.d / Ratio, proportion, extremes, means, cross-products
Similar figures & polygons, scale factor & drawing
7-3 Proving Triangles Similar
VA-4 Congruent and Similar Triangles / G.7 / Indirect measurement
7-4 Similarity in Right Triangles
(Geometric Mean) / G.7 / Geometric mean
7-5 Proportions in Triangles
Review
Assessment / Benchmark (mobile lab 1/30-31) (Alg Review p399 Simplifying Radicals)
Chapter 8: Right Triangles and Trigonometry
5 / Concept Byte: The Pythagorean Theorem
8-1 The Pythagorean Theorem and its Converse
VA Standards Review: Pythagorean Theorem
Review Distance Formula (1-7) / G.8 / Pythagorean theorem, Pythagorean triple
8-2 Special Right Triangles
8-3 Trigonometry / G.8 / Trigonometric ratios, sine, cosine, tangent
8-4 Angles of Elevation and Depression / G.8 / Angles of elevation & depression
Review
Assessment / Benchmark (mobile lab 2/16-17)
Chapter 10: Area
5 / 1-8 Perim., Circ. & Area
10-1 Areas of Parallelograms & Triangles
10-2 Areas of Trapezoids, Rhombuses, & Kites
10-3 Areas of Regular Polygons / Prereq. for G.13&14
G.14.a
G.14.a
G.14.a / Perimeter, circumference, area
Base, altitude, height of a paral.; base & height of a D
Height of a trap.
Radius & apothem of reg. poly.
10-4 Perimeters & Areas of Similar Figures
10-5 Trigonometry & Area / G.14.a,c,d
10-6 Circles & Arcs
10-7 Areas of Circles & Sectors / G.11.b,c
G.11.c / 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.
Review
Assessment / Benchmark (mobile lab 3/14-15)
Benchmark
2 / 1 Day of Review
18 Week Benchmark (labs 1/11-13)
22 total / Spring Break

Geometry (Single Block) 4th 9 Weeks (revised 8/15/12 10:00AM) (2012-2013)

Days / Section/Topic / Standards / DOE Curriculum Framework / Vocabulary /
Chapter 11: Surface Area and Volume
5 / 11-1 Space Figures & Cross Sections / Polyhedron, face, edge, vertex, cross-section, Base
11-2 Surface Areas of Prisms & Cylinders
11-3 Surface Areas of Pyramids & Cones / G.13
G.13, G.14.b / 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,
11-4 Volumes of Prisms & Cylinders
11-5 Volumes of Pyramids & Cones / G.13, G.14.b
G.13, G.14.b / Volume, composite space figure
Volumes of pyramids & cones
11-6 Surface Areas & Volumes of Spheres
11-7 Areas & Volumes of Similar Solids / G.13 / Sphere, center, radius, diameter, circumference, great circle, hemisphere
Review
Assessment / Benchmark (mobile lab 3/29-30) / G.13, G.14.a,b,c,d / Similar solids
Chapter 12: Circles
7 / Review Circles
12-5 Circles in the Coordinate Plane
VA Standards Review: Equation of a Circle / G.12 / Standard for of the equation of a circle
12-1 Tangent Lines / G.11.a,b / Tangent to a circle, point of tangency
12-2 Chords & Arcs / G.11.a,b / Chords, arcs
12-3 Inscribed Angles
12-4a Angle Measures / G.11.a
G.11.a,b / Inscribed angle, intercepted arc
Secant
12-4b Segment Lengths / G.11.a,b / Secant
Review
Assessment / Benchmark (mobile lab 4/25-26)
4+ / Review
Benchmark Released Test? (labs 4/30-5/3)
Review / Remediation
Review / Remediation
16 total