1206320 - GEOMETRY HONORSPACING GUIDE

Text: Prentice Hall Geometry, Honors Gold Series

Revised August 2011

Benchmark Information:

General Strategies – Used Throughout the Curriculum
Benchmark / Description
LA.1112.1.6.1 / The student will use new vocabulary that is introduced and taught directly;
LA.1112.1.6.2 / The student will listen to, read, and discuss familiar and conceptually challenging text.
LA.1112.1.6.5 / The student will relate new vocabulary to familiar words;
LA.910.1.6.1 / The student will use new vocabulary that is introduced and taught directly;
LA.910.1.6.2 / The student will listen to, read, and discuss familiar and conceptually challenging text;
LA.910.1.6.5 / The student will relate new vocabulary to familiar words;
MA.912.G.8.1 / Analyze the structure of Euclidean geometry as an axiomatic system. Distinguish between undefined terms, definitions, postulates and theorems.
MA.912.G.8.2 / Use a variety of problem-solving strategies, such as drawing a diagram, making a chart, guess-and-check, solving a simpler problem, writing an equation, and working backwards.
MA.912.G.8.3 / Determine whether a solution is reasonable in the context of the original situation.
MA.912.G.8.4 / Make conjectures with justifications about geometric ideas. Distinguish between information that supports a conjecture and proof of a conjecture.
MA.912.G.8.5 / Write geometric proofs, including proofs by contradiction and proofs involving coordinate geometry. Use and compare a variety of ways to present deductive proofs, such as flow charts, paragraphs, two—column, and indirect proofs.
MA.912.G.8.6 / Perform basic constructions using straightedge and compass, and/or drawing programs describing and justifying and procedures used. Distinguish between sketching, constructing and drawing geometric figures.
MA.912.D.6.4 / Use methods of direct and indirect proof and determine whether a short proof is logically valid.

Geometry Honors

Note: as much as possible, supplement with real-world applications and activities (The Mathematics Teacher and NCTM website are excellent sources), as well as graphing calculators or Geometer’s sketchpad. Increase relevance and retention.

Essential Questions

quarter 1

  • What is a net?
  • What are the undefined terms in Geometry?
  • How is distance measured?
  • What is a midpoint?
  • How are angles measured?
  • What is a polygon?
  • How do concave and convex differ?
  • What is inductive and deductive reasoning?
  • How is logic used in the real world?
  • What is a proof?
  • What are the different types of proofs?
  • How is legal evidence similar to a mathematical proof?
  • How are parallel lines and planes used in art and architecture?
  • How can you verify that lines are actually parallel?
  • How do vertical and horizontal line slopes compare?
  • How do the equations of vertical and horizontal lines compare?
  • How are triangles classified?
  • How do you determine which parts of congruent triangles are corresponding?
  • How many different ways are there to prove triangles are congruent?
  • What is special about isosceles triangles?

quarter 2

  • How can you use the coordinate plane to create proofs?
  • What are the two special relationships between a midsegment of a triangle and its third side?
  • What are points of concurrency?
  • What are the different points of concurrency in a triangle?
  • What does circumscribed mean?
  • How can you compare sides and angles of triangles that are not congruent?
  • How is an indirect proof different from other proofs?
  • How do you find the sum of the interior and exterior angles of a polygon?
  • How is an interior angle of a polygon related to an exterior angle?
  • How can you prove that a quadrilateral is a parallelogram?
  • What are the different kinds of quadrilaterals?
  • Are there different types of parallelograms? How can you tell the difference?

quarter 3

  • What is the difference between similarity and congruence?
  • What is a scale factor?
  • How do we use similar triangles be used to solve problems that involve distance and height?
  • How can we find a missing side of a special right triangle (45-45-90 or 30-60-90) given the length of only one side?
  • What is a Geometric Mean?
  • How can Pythagorean Theorem be used to find distances in real world situations as well as between points on a coordinate plane?
  • What does SOH-CAH-TOA mean?
  • How are the angles of elevation and angles of depression related?
  • What are the different transformations in Geometry?
  • What is a vector?
  • What is a tangent?
  • What is area?
  • How do I measure the areas of different shapes, like triangles, trapezoids and rhombi?
  • How can I measure the areas of curved things, like circles?
  • How can I find the surface areas of different three-dimensional figures?

quarter 4

  • How can I find the volumes of different three-dimensional figures?
  • What is circumference?
  • What does it mean for a line to be tangent to a circle?
  • What is an arc?
  • What does inscribed mean?
  • How do you write the equation of a circle?
  • How do you find the center and radius of a circle using its equation?
  • How can you use the locus to sketch a geometric relationship?

Quarter 1

Week 1 Concepts:
Chapter 1: TOOLS OF GEOMETRY
Nets and Drawings for Visualizing Geometry
Points, Lines and Planes
Measuring Segments
Measuring Angles
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / 1-1 / Nets and Drawings for Visualizing Geometry / MA.912.G.7.1 / net, isometric drawing / 1803,1811,33773,33774,33775,33776,33777,14407, 80187
2 / 1-2 / Points, Lines, and Planes / LA.910.1.6.5 / undefined terms, point, line, plane, collinear points, coplanar, space, segment, ray, opposite rays, postulate, axiom, intersection / 7657,20362,20367,33945,33946,33948,33949,33950,33951,33952,33953,33954,33955,33956,33961,33962,92628,96080,96088,133284,96078,20422,16402,16403 SB 1.1(3)
1 / 1-3 / Measuring Segments / MA.912.G.1.1 / coordinate, distance, congruent segments, midpoint, segment bisector / 20369,20424,20437,20455,33969,33970,33973,33974,33975,33976,79981,92630,96043,133288,133289
1 / 1-4 / Measuring Angles / MA.912.G.1.3
MA.912.G.2.2 / angle, sides, vertex, measure, acute angle, right angle, obtuse angle, straight angle, congruent angles / 2287,7152,14393,20363,20364,20365,20366,20371,20397,20399,20425,20428,20431,20456,33981,33982,33983,33984,33985,33986,33987,33988,33989,33990,33991,33992,33993,33994,33995,33996,79972,79978,79984,79986,80085,92561,96052,96061,96068,96086,133293,133324,92629,16406,20423,2177
SB 1.5(3)
Notes:
Week 2 Concepts:
Chapter 1: TOOLS OF GEOMETRY
Exploring Angle Pairs
Basic Constructions
Midpoint and Distance in the Coordinate Plane
Perimeter, Circumference, and Area
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / 1-5 / Exploring Angle Pairs / MA.912.G.1.3
MA.912.G.4.2 / Adjacent angles, vertical angles, complementary angles, supplementary angles, linear pair, angle bisector / 678,2068,2119,2129,2209,2221,2227,2283,7137,7141,7149,7155,7167,7170,7584,7586,14327,20372,20376,20400,20401,20402,20421,20426,20429,20430,20432,20463,33199,33997,33998,33999,34000,34001,34002,34003,34004,34005,34006,34007,34008,34009,34010,34011,34012,34013,34014,34015,34016,35261,35263,79996,80009,80086,88677,92636,92637,92669,96055,96057,96059,116167,133283,133285,133286,133287,133294,2003,96054,92638,96068,16405,16408,16409,20431
1 / Mid-Ch. / Review & Quiz
1 / 1-6 / Basic Constructions / MA.912.G.8.6 / Straightedge, compass, construction, perpendicular lines, perpendicular bisector / 678,2068,2119,2129,2209,2221,2227,2283,7137,7141,7149,7155,7167,7170,7584,7586,14327,20372,20376,20400,20401,20402,20421,20426,20429,20430,20432,20463,33199,33997,33998,33999,34000,34001,34002,34003,34004,34005,34006,34007,34008,34009,34010,34011,34012,34013,34014,34015,34016,35261,35263,79996,80009,80086,88677,92636,92637,92669,96055,96057,96059,116167,133283,133285,133286,133287,133294,2003,96054,92638,96068,16405,16408,16409,20431 SB 4.7 part 1(1) continued Wk 8
1 / 1-7 / Midpoint and Distance in the Coordinate Plane / MA.912.G.1.1 / Distance formula / 1149,2277,7113,7118,7125,7608,7676,11211,14370,14432,20370,20415,20427,20457,33305,33977,33978,33979,33980,35287,35291,35292,35293,35298,79975,92560,92656,96050,133322,1195,2220,16404,16407,20424,20443 SB 1.9(2)
1 / 1-8 / Perimeter, Circumference, and Area / MA.912.G.2.5
MA.912.G.6.5 / Perimeter, circumference, area / 675,683,1198,2184,11187,11351,19973,33707,33708,33709,33710,33711,33712,33713,33714,33715,33716,33717,33718,35183,35199,35202,35212,35215,35216,35217,35269,35272,35276,80112,80122,92527,92543,13330,7661,1157,1261,1817,2037,2133,2214,2223,11220,14281,14314,14315,19008,20391,20392,33725,33726,33727,33728,35218,35228,35280,79985,80123,80130,80159,80184,92544,133308,133354,133356,133358,2190
Notes:
Week 3 Concepts:
Chapter 1: TOOLS OF GEOMETRY
chapter 2: Reasoning and Proof
Patterns and Inductive Reasoning
Conditional Statements
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / Review/ Standards Practice p. 70-78
1 / Chapter 1 Test
1 / 2-1 / Patterns and Inductive Reasoning / MA.912.G.8.4 / Inductive reasoning, conjecture, counterexample / 2160,2220,5475,5476,5477,11355,14328,14336,14377,14403,14404,14433,14436,14506,18990,18993,19026,19969,20064,20066,20088,33087,33088,33089,33090,33091,33092,33093,33094,33095,33096,33097,33098,33102,33103,33105,33106,33107,33108,33388,33389,35151,35152,35190,35203,35204,35208,35243,35245,35299,35300,35304,35305,35307,35315,35316,35330,79963,82597,82634,112898,133281SB 1.2(3)
1 / 2-2 / Conditional Statements / MA.912.D.6.2
MA.912.D.6.3 / Conditional, hypothesis, conclusion, truth value, converse, inverse, contrapositive / 33109,35329,35331,35335,35336,82613,92657,8025,20373,20403,20404,20461,20474,33111,33112,33113,33114,33115 ,33116,33117,33118,33119,33120,33121,33122,33123,33124,80003,80069,80073,96056,16405 SB 1.4(1)
Notes:
Week 4 Concepts:
chapter 2: Reasoning and Proof
Conditional Statements
Biconditional and Definitions
Deductive Reasoning
Reasoning in Algebra and Geometry
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
0.5 / 2-2 / Conditional Statements / MA.912.D.6.2
MA.912.D.6.3 / Conditional, hypothesis, conclusion, truth value, converse, inverse, contrapositive / 33109,35329,35331,35335,35336,82613,92657,8025,20373,20403,20404,20461,20474,33111,33112,33113,33114,33115 ,33116,33117,33118,33119,33120,33121,33122,33123,33124,80003,80069,80073,96056,16405 SB 1.4(1)
0.5 / Concept
Byte p.96 / Logic and Truth Tables / MA.912.D.6.1 / Compound statement, truth table
1 / 2-3 / Biconditional and Definitions / MA.912.D.6.2
MA.912.D.6.3
MA.912.G.8.1 / Biconditional / 79997,79998
1 / Mid-Ch. / Review & Quiz
1 / 2-4 / Deductive Reasoning / MA.912.D.6.4 / Deductive reasoning, Law of Syllogism / 2021,2108,2136,2153,7779,14357,7127,7615,7619,33125,33126,80001,80004,80005,82630 SB 1.3(3)
1 / 2-5 / Reasoning in Algebra and Geometry / MA.912.D.6.4
MA.912.G.8.5 / Addition property, subtraction property, multiplication property, division property, reflexive property, symmetric property, transitive property, substitution property, proof, two-column proof / SB 1.7(2)
Notes:
Week 5 Concepts:
Chapter 2: reasoning and proof
Proving Angles Congruent
chapter 3: parallel and perpendicular lines
Lines and Angles
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
2 / 2-6 / Proving Angles Congruent / MA.912.D.6.4
MA.912.G.8.1
MA.912.G.8.5 / Theorem, paragraph proof / 20405,79988,96044,96048
SB 2.6(3)
1 / Review/ Standards Practice p. 129-136
1 / Chapter 2 Test
1 / 3-1 / Lines and Angles / MA.912.G.7.2 / Parallel lines, skew lines, parallel planes, transversal, alternate interior angles, same-side interior angles, corresponding angles, alternate exterior angles / 1164,1756,2023,7661,7687,7691,20464,33166,33167,33168,33170,33171,33172,33174,33175,33176,80012,92638,92639,92640,92642,92643,92650,133296,133297,133298,133315,2128,92657,16411,20435,20434,20433,1131,1761,2139,7172,7701,7710,14332,14389,20378,20406,20407,20434,33177,33178,33197,35264,80015,80016,80027,82593,88680,133292,133295,2209
Notes:
Week 6 Concepts:
Chapter 3: parallel and perpendicular lines
Properties of Parallel Lines
Proving Lines Parallel
Parallel and Perpendicular Lines
Parallel Lines and Triangles
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / 3-2 / Properties of Parallel Lines / MA.912.G.1.3
MA.912.G.8.5
Concept Byte p.147 / Parallel Lines and Related Angles : Use technology- Geometer Sketchpad / MA.912.G.1.2
2 / 3-3 / Proving Lines Parallel / MA.912.G.1.3
MA.912.G.8.5 / 7720,7737,19040,35253,80035
1 / 3-4 / Parallel and Perpendicular Lines / MA.912.G.8.5 / 19041,35294,35295,80036,92654,133301,16407,20439,92650,96035,92641
1 / 3-5 / Parallel Lines and Triangles / MA.912.G.2.2
MA.912.G.8.5 / Auxiliary line, exterior angle of a polygon, remote interior angles / 1128,1137,1144,1159,2150,2177,2228,2267,7237,7596,7748,7757,7828,11152,19005,20413,20417,33179,33180,33211,33224,33225,33226,33227,33228,33229,33230,33231,33232,33233,33234,33235,33236,33237,33238,33239,35222,35224,35258,80014,88679,88688,92528,92667,92696,96082,96087,133302,133303,133338,92693,16416,2138
Notes:
Week 7 Concepts:
Chapter 3: parallel and perpendicular lines
Parallel Lines and Triangles
Constructing Parallel and Perpendicular Lines
Equations of Lines in the Coordinate Plane
Slopes of Parallel and Perpendicular Lines
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / Mid-Ch. / Review & Quiz
1 / 3-6 / Constructing Parallel and Perpendicular Lines / MA.912.G.1.2
MA.912.G.4.1 / 33997,33998,33999,34000,34001,34002,34003,34004,34005,34006,34007,34008,34009,34010,34011,34012,34013,34014,34015,34016,35261,35263,79996,80009,80086,88677,92636,92637,92669,96055,96057,96059,116167,133283,133285,133286,133287,133294,2003,96054,92638,96068,16405,16408,16409,20431 SB 4.7 part 2(1)continued from Wk2
2 / 3-7 / Equations of Lines in the Coordinate Plane / MA.912.G.3.3 / Slope, slope-intercept form, point-slope form / 736,1160,1162,2266,7117,11223,11228,11217,14331,14342,14351,14360,14361,14363,14380,14397,14410,19011,20379,20380,20382,20383,20410,20412,20413,20414,20440,20441,20442,20451,20458,33189,33201,33202,35288,35296,35303,35310,80025,80026,80034,92641,92652,96035,96040,96041,133300,16413
1 / 3-8 / Slopes of Parallel and Perpendicular Lines / MA.912.G.3.3 / 1136,1148,2014,11230,11316,14320,14347,14376,14405,20408,20409,20411,20439,20453,20454,33181,35289,35290,35301,35302,35333,82599,82612,92555,96039,96042,133299,92652,16412,20438,20442 SB 1.8(2)
Notes:
Week 8 Concepts:
Chapter 3: parallel and perpendicular lines
chapter 4: Congruent triangles
Congruent Figures
Triangle Congruence by SSS and SAS
Triangle Congruence by ASA and AAS
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / Review/Standards Practice p.206-214
1 / Chapter 3 Test
1 / 4-1 / Congruent Figures / MA.912.G.2.4
MA.912.G.4.6 / Congruent polygons / 1754,1809,1845,2245,7217,7222,7814,7821,11168,14321,14881,18999,20384,20436,33215,33217,33218,80054,80056,92686,133326,133329 SB 2.5(4)
1 / 4-2 / Triangle Congruence by SSS and SAS / MA.912.G.4.3
MA.912.G.4.6 / 1778,7191,7201,7206,7210,7636,7653,7783,7801,14379,20385,33219,35252,80143,92674,133327,16417
1 / 4-3 / Triangle Congruence by ASA and AAS / MA.912.G.4.3
MA.912.G.4.6 / 1781,1783,7187,7193,7198,7203,20386,20466,20471,20472,35257,80038,80043,80051,80057,80060, 92683,133328,96085,92672
Notes:
Week 9 Concepts:
Chapter 4: Congruent triangles
Using Corresponding Parts of Congruent Triangles
Isosceles and Equilateral Triangles
Congruence in Right Triangles
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / Mid-Ch / Review/Quiz
1 / 4-4 / Using Corresponding Parts of Congruent Triangles / MA.912.G.2.3
MA.912.G.4.4
MA.912.G.4.6
2 / 4-5 / Isosceles and Equilateral Triangles / MA.912.G.4.1 / Legs, base, vertex angle, base angles, corollary / 2250,7185,7225,7230,11137,14390,20387,20444,20468,35250,80047,80048,92524,92539,20445,92688 SB 2.7(2)
1 / 4-6 / Congruence in Right Triangles / MA.912.G.4.6
MA.912.G.5.4 / Hypotenuse, legs / 1781,1783,7187,7193,7198,7203,20386,20466,20471,20472,35257,80038,80043,80051,80057,80060, 92683,133328,96085,92672
Notes:

QUARTER 2

Week 10 Concepts:
Chapter 4: Congruent triangles
Congruence in Right Triangles
Congruence in Overlapping Triangles
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / 4-6 / Congruence in Right Triangles / MA.912.G.4.6
MA.912.G.5.4 / Hypotenuse, legs / 1781,1783,7187,7193,7198,7203,20386,20466,20471,20472,35257,80038,80043,80051,80057,80060, 92683,133328,96085,92672
2 / 4-7 / Congruence in Overlapping Triangles / MA.912.G.4.6
1 / Review/ Standards Practice p. 273-280
1 / Chapter 4 Test
Notes:
Week 11 Concepts:
Chapter 5: relationships within triangles
Midsegments of Triangles
Perpendicular and Angle Bisectors
Medians and Altitudes
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / 5-1 / Midsegments of Triangles / MA.912.G.1.1
MA.912.G.4.5 / Midsegment of a triangle / 700,1127,1843,2122,2134,5467,7336,7345,7348,7987,8001,8005,11140,11141,14388,19974,20079,20394,33347,33348,33351,33352,33353,33354,33355,33363,33364,33365,33370,33371,33372,33373,33374,33375,33376,33377,33378,33379,33380,33381,33382,33383,33384,33385,33386,33387,35259,35265,80065,80081,80153,80154,80157,92523,133339,133343,1262,1837,92686
1 / 5-2 / Perpendicular and Angle Bisectors / MA.912.G.4.2 / Equidistant, distance from a point to a line
2 / 5-3 / Bisectors in Triangles / MA.912.G.1.1
MA.912.G.4.2 / Concurrent, point of concurrency, circumcenter, circumscribed about, incenter of the triangle, inscribed in / SB 2.4(3)
1 / 5-4 / Medians and Altitudes / MA.912.G.4.2
MA.912.G.4.5 / Median of a triangle, centroid of the triangle, altitude of a triangle, orthocenter of the triangle
Notes:
Week 12 Concepts:
Chapter 5: relationships within triangles
Indirect Proof
Inequalities in One Triangle
Inequalities in Two Triangles
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
1 / 5-5 / Indirect Proof / MA.912.G.8.5 / Indirect reasoning, indirect proof / 7919,7922
1 / 5-6 / Inequalities in One Triangle / MA.912.G.4.7 / 2171,2255,20448,33302,33303,33304,80077,80078,92695,133313,133341,92699,96036,96066 SB 2.3(2)
1 / 5-7 / Inequalities in Two Triangles / MA.912.G.4.7 / Hinge Theorem
1 / Review/ Standards Practice p.333-335 and p.361-366
Notes:
Week 13 Concepts:
Chapter 5: relationships within triangles
CHAPTER 6: POLYGONS AND QUADRILATERALS
The Polygon Angle-Sum Theorems
Properties of Parallelograms
Proving That a Quadrilateral Is a Parallelogram
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
1 / Chapter 5 Test
1 / 6-1 / The Polygon Angle-Sum Theorems / MA.912.G.2.2 / Equilateral polygon, equiangular polygon, regular polygon / 1196,2142,2196,2230,2260,2289,7253,7254,7259,7307,7764,7767,11184,19015,19016,19019,19968,20374,20418,20420,20469,33481,33482,33483,33484,35226,35227,35249,80017,82624,92526,92559,133314,133366,16415,16427SB 2.1(3); SB 2.2(2)
1 / 6-2 / Properties of Parallelograms / MA.912.G.3.1
MA.912.G.3.4
MA.912.G.8.5 / Parallelogram, opposite sides, opposite angles, consecutive angles / 2218,7264,7311,7846,7858,7864,19137,20460,33485,33486,33488,33489,33490,33491,33492,33493,33494,80091,80098,80099,96084
SB 2.9(4)
1 / 6-3 / Proving That a Quadrilateral Is a Parallelogram / MA.912.G.3.1
MA.912.G.3.4 / 1795,1847,7271,7871,33495,33496,33497,33498,80090
1 / Mid-Ch. / Review
Notes:
Week 14 Concepts:
CHAPTER 6: POLYGONS AND QUADRILATERALS
Properties of Rhombuses, Rectangles, and Squares
Conditions for Rhombuses, Rectangles, and Squares
Trapezoids and Kites
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
1 / Mid-Ch. / Quiz
1 / 6-4 / Properties of Rhombuses, Rectangles, and Squares / MA.912.G.3.1
MA.912.G.3.2
MA.912.G.3.4 / Rhombus, rectangle, square / 1134,1770,7269,33499,33500,88683,133318,1136,16428,1132,1135,1146,1798,2128,2197,2216,5600,7309,7317,7881,19023,20465,20473,33501,33502,33503,33504,35251,88682,88684,92529,133319,133367,16429,16430,96084 SB 2.8(4)
1 / 6-5 / Conditions for Rhombuses, Rectangles, and Squares / MA.912.G.3.1
MA.912.G.3.2
MA.912.G.3.4
1 / 6-6 / Trapezoids and Kites / MA.912.G.3.1
MA.912.G.3.2
MA.912.G.3.4 / Trapezoid, bases, legs, base angles, isosceles trapezoid / 1787,7276,7280,7284,7320,73223,7874,20389,20398,33505,33506,33507,33508,80106,80110,82623,133310,133311,133312,16431
1 / Mid-Ch. / Review & Quiz
Notes:
Week 15 Concepts:
Chapter 6: polygons and quadrilaterals
Polygons in the Coordinate Plane
Applying Coordinate Geometry
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
3 / Alg Rev / Simplifying Radicals
1 / 6-7 / Polygons in the Coordinate Plane / MA.912.G.1.1
MA.912.G.3.1
MA.912.G.3.3
MA.912.G.4.1 / 33509,33510,33511,33512,33513,33514,33516,33517,33518,80111,20254
1 / 6-8 / Applying Coordinate Geometry / MA.912.G.3.3
MA.912.G.8.5 / Coordinate proof / 33509,33510,33511,33512,33513,33514,33516,33517,33518,80111,20254SB 3.4(2)
Notes:
Week 16Concepts:
Chapter 6: polygons and quadrilaterals
Applying Coordinate Geometry
Proofs Using Coordinate Geometry
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / 6-8 / Applying Coordinate Geometry / MA.912.G.3.3
MA.912.G.8.5 / Coordinate proof / 33509,33510,33511,33512,33513,33514,33516,33517,33518,80111,20254SB 3.4(2)
1 / 6-9 / Proofs Using Coordinate Geometry / MA.912.G.3.3
MA.912.G.8.5
2 / Review/ Standards Practice p.420-429
1 / Chapter 6 Test
Notes:
Week 17:
Flex days
Week 18:
Mid Term Review
Week 19:
Mid Term Review/Exams
Mid-Term: Week 18 & 19
First Half
Periods
Course Content & Instruction 77
Midterm Prep & Exam 5
Flex Days 5
Total Days 87

QUARTER 3

Week 20Concepts:
chapter 7: similarity
Ratios and Proportions
Similar Polygons
Proving Triangles Similar
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / 7-1 / Ratios and Proportions / Ratio, proportion, extremes, means
1 / 7-2 / Similar Polygons / MA.912.G.2.3 / Similar figures, similar polygons, extended proportion, scale factor
1 / 7-3 / Proving Triangles Similar / MA.912.G.2.3
MA.912.G.4.4
MA.912.G.4.6
MA.912.G.5.4 / Indirect measurement / 700,1127,1843,2122,2134,5467,7336,7345,7348,7987,8001,8005,11140,11141,14388,19974,20079,20394,33347,33348,33351,33352,33353,33354,33355,33363,33364,33365,33370,33371,33372,33373,33374,33375,33376,33377,33378,33379,33380,33381,33382,33383,33384,33385,33386,33387,35259,35265,80065,80081,80153,80154,80157,92523,133339,133343,1262,1837,92686 SB 3.2(4)
Notes:
Week 21Concepts:
chapter 7: similarity
Similarity in Right Triangles
Proportions in Triangles
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
1.5 / 7-4 / Similarity in Right Triangles / MA.912.G.5.2
MA.912.G.8.3 / Altitude to the hypotenuse, geometric mean / 1193,1194,1755,80155,16420,16421,16418
SB 3.5(2)
0.5 / Concept Byte p.468 / The Golden Ratio / MA.912.D.11.5
1 / 7-5 / Proportions in Triangles / MA.912.G.4.5 / SB 3.3(3)
1 / Review/ Standards Practice p.480-486
1 / Chapter 7 Test
Notes:
Week 22 Concepts:
chapter 8: Right triangles and trigonometry
The Pythagorean Theorem and Its Converse
Special Right Triangles
Trigonometry
Angles of Elevation and Depression
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / 8-1 / The Pythagorean Theorem and Its Converse / MA.912.G.5.1
MA.912.G.5.4
MA.912.G.8.3 / Pythagorean Triple / 647,674,1105,1112,2003,2033,2219,5577,5594,7354,7357,10993,11179,11180,11227,14334,14337,14364,14381,18998,20084,20395,33243,33246,33248,33413,33414,33415,33416,33417,33418,33419,33420,35219,35238,35268,35313,80113,80114,80115,80170,92530,92532,133290,133291,133340,133369
1 / 8-2 / Special Right Triangles / MA.912.G.5.3
MA.912.G.5.4 / 1197,2026,2275,7360,7363,7364,7369,7373,7389,11008,11100,11203,19038,33240,33241,33421,33422,80118,80120,92522,92531,92
533,133346,133368,1112,16425 SB 3.7(4)
1 / 8-3 / Trigonometry
and Concept Byte p.506 (Technology) / MA.912.G.5.4
MA.912.T.2.1 / Trigonometric ratios, sine, cosine, tangent / 1187,1757,2029,2256,7399,7403,7404,7405,7442,7450,33411,33412,33423,33424,80164,133347,133348,133349,16426 SB 3.8(4)
1.5 / 8-4 / Angles of Elevation and Depression / MA.912.G.5.4
MA.912.T.2.1 / Angle of elevation, angle of depression / 33425,33426,33427,33428,33429,33430,33431,33432,33433,33434,33435,33436,33437,33438,33439,33440,33441,33442,33443,33444,33445,33446,33447,33448,33449,33450,33 451,33452,33453,33454,80163,80165,80186
0.5 / Concept Byte p.522 / Laws of Sines and Laws of Cosines (Extension)
Notes:
Week 23 Concepts:
chapter 8: Right triangles and trigonometry
Vectors
chapter 9: transformations
Translations
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / 8-5 / Vectors / MA.912.D.9.3 / Vector, magnitude, initial point terminal point / SB 5.6(1)
2 / Review/ Standards Practice p.534-540
1 / Chapter 8 Test
1 / 9-1 / Translations / MA.912.G.2.4 / Transformation, preimage, image, isometry, translation, composition of transformations / 685,1785,1838,33539,33540,33541,33542,33543,33544,33545,33546,33547,33548,33549,33550,33551,33552,33553,35266,80257,96074,16432 SB 5.1(3)
Notes:
Week 24 Concepts:
chapter 9: transformations
Reflections
Rotations
Symmetry
Dilations
Compositions of Refelections
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / 9-2 / Reflections / MA.912.G.2.4 / Reflection, line of reflection / 682,1760,1776,11206,14386,19032,19970,20368,33535,33536,33537,33538,35262,35279,35281,35282,35283,35284,80237,80258,80261,96071,96073
1 / 9-3 / Rotations / MA.912.G.2.4 / Rotation, center of rotation, angle of rotation, center of a regular polygon / 681,1765,1839,1840,2181,7120,11169,14382,33554,33555,33556,33557,33558,33559,33560,33561,33562,33563,33564,33565,33566,33567,33568,80241,80250,80251,96029,96031
1 / 9-4 / Symmetry / MA.912.G.2.4 / Symmetry, line symmetry, reflectional symmetry, rotational symmetry, point symmetry / 682,1760,1776,11206,14386,19032,19970,20368,33535,33536,33537,33538,35262,35279,35281,35282,35283,35284,80237,80258,80261,96071,96073
1 / 9-5 / Dilations / MA.912.G.2.4 / Dilation, center, scale factor, enlargement, reduction / 11214,14383,14111,33584,33585,33586,33587,33588,33589,33590,33591,33592,33593,33594,33595,35260,35267,80254 SB 5.2(3)
1 / 9-6 / Compositions of Reflections / MA.912.G.2.4
Notes:
Week 25 Concepts:
chapter 9: transformations
chapter 10:area
Areas of Parallelograms and Triangles
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
2 / Review / Standards
Practice p.603-610
1 / Chapter 9 Test
1 / 10-1 / Areas of Parallelograms and Triangles / MA.912.G.2.5
MA.912.G.2.7 / Base of a parallelogram, altitude, height, base of a triangle / 675,683,1198,2184,11187,11351,19973,33707,33708,33709,33710,33711,33712,33713,33714,33715,33716,33717,33718,35183,35199,35202,35212,35215,35216,35217,35269,35272,35276,80112,80122,92527,92543,133307
SB 5.4(4)
Notes:
Week 26 Concepts:
chapter 10:area
Areas of Trapezoids, Rhombuses, and Kites
Areas of Regular Polygons
Perimeters and Areas of Similar Figures
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / 10-2 / Areas of Trapezoids, Rhombuses, and Kites / MA.912.G.2.5 / Height of a trapezoid / 1126,2116,11207,20396,33719,33720,33721,33722,33723,33724,35182,35186,35254,35285,35286,80135,80136,92542,92549,92552,133305,133306,133309,133316,16441
2 / 10-3 / Areas of Regular Polygons / MA.912.G.2.5
MA.912.G.2.7 / Radius of a regular polygon, apothem / 661,1157,1261,1817,2037,2133,2214,2223,11220,14281,14314,14315,19008,20391,20392,33725,33726,33727,33728,35218,35228,35280,79985,80123,80130,80159,80184,92544,133308,133354,133356,133358,2190
1 / 10-4 / Perimeters and Areas of Similar Figures / MA.912.G.2.7
MA.912.G.4.4
1 / Mid Ch / Review and Quiz
Notes:
Week 27 Concepts:
chapter 10: area
Trigonometry and Area
Circles and Arcs
Areas of Circles and Sectors
Geometric Probability
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / 10-5 / Trigonometry and Area / MA.912.G.2.5
MA.912.T.2.1
2 / 10-6 / Circles and Arcs / MA.912.G.6.2
MA.912.G.6.4 / Circle, center, diameter, radius, congruent circles, central angle, semicircle, minor arc, major arc, circumference, pi, concentric circles, arc length, congruent arcs / 1209,2145,7479,7516,7532,7536,7537,20393,33639,33640,33641,33642,33643,33644,33645,33646,33647,33648,33649,35221,80127
SB 4.2(3)
1 / 10-7 / Areas of Circles and Sectors / MA.912.G.2.7
MA.912.G.6.5 / Sector of a circle, segment of a circle / 661,1157,1261,1817,2037,2133,2214,2223,11220,14281,14314,14315,19008,20391,20392,33725,33726,33727,33728,35218,35228,35280,79985,80123,80130,80159,80184,92544,133308,133354,133356,133358,2190
SB 4.5(3)
1 / 10-8 / Geometric Probability / MA.912.G.2.5
MA.912.G.6.5 / Geometric probability / 33749,33750,33751,33752,33753,33754,33755,33756,33757,33758,33759,33760,33766,33767,33768,33769,33770
Notes:
Week 28 Concepts:
chapter 10: area
chapter 11: surface area and volume
Space Figures and Cross Sections
Literal Equations
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
2 / Review/ Standards Practice p.665-668 & p.704-710
1 / Chapter 10 Test
1 / 11-1 / Space Figures and Cross Sections / MA.912.G.7.2 / Polyhedron, face, edge, vertex, cross section / 1803,1811,1848,2242,20086,33773,33774,33775,33776,33777,33778,33779,33780,33781,33782,33783,33784,33785,33786,33787,33788,33789,33790,33791,33792,35270,35271,35273,35274,35275,35277,80189,80205,80206,80207,82625 SB 6.1(3)
1 / Alg Rev / Literal Equations / Literal equation
Notes:
Week 29Concepts:
chapter 11: surface area and volume
Surface Area of Prisms and Cylinders
Surface Area of Pyramids and Cones
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / 11-2 / Surface Area of Prisms and Cylinders / MA.912.G.7.1
MA.912.G.7.5
MA.912.G.7.7 / Prism, bases, lateral faces, altitude, height, right prism, oblique prism, lateral area, surface area, cylinder, bases, right cylinder, oblique cylinder / 11107,33798,33799,33800,33801,33802,33803,33804,33805,33806,33807,33808,33809,33810,33811,33812,33813,33814,33815,33816,33817,80190,80210,92550,623,1211,2232,5489,19013,20390,33818,33819,33820,33821,80198,133359,16438 SB 6.2(4)
2 / 11-3 / Surface Area of Pyramids and Cones / MA.912.G.7.5
MA.912.G.7.7 / Pyramid, base, lateral faces, vertex, altitude, height, regular pyramid, slant height, lateral area, surface area, cone, right cone / 11106,11111,33822,33823,33824,33825,133373,2232,2114,11185,33826,33827,33828,33829
1 / Mid Ch / Review
Notes:

QUARTER 4

Week 30Concepts:
chapter 11: surface area and volume
Volumes of Prisms and Cylinders
Volumes of Pyramids and Cones
Surface Areas and Volumes of Spheres
Date Completed / Days / Section / Topic / Benchmark / Vocabulary / DW Test item #s
SpringBoard Math (SB)Unit(#of periods)
1 / Mid-Ch / Quiz
1 / 11-4 / Volumes of Prisms and Cylinders / MA.912.G.7.5
MA.912.G.7.7 / Volume, composite space figure / 1151,1820,2010,2017,2027,2190,5701,5709,11170,11245,14358,14365,14419,14431,20059,20062,34049,34050,34051,34052,34053,34054,35231,35311,35314,92535,92557,133363 SB 6.3(3)
1 / 11-5 / Volumes of Pyramids and Cones / MA.912.G.7.5