2005 TEAM-Math Curriculum Guide (July 15)p. 17-1
Chapter 17 – Curriculum for Geometry (Cohort Version)
Chapter 17. Curriculum for Geometry
Two versions of the Curriculum for Geometry are presented. The first, the “Cohort Version,” is intended for teachers who have completed the TEAM-Math Summer Institute and have been introduced to the Interactive Mathematics Program. An alternative version is intended for those who have not yet attended the Summer Institute. The Appendix provides the correlation of objectives, which should be useful for both groups of teachers.
Curriculum for Geometry (Cohort Version)
The geometry curriculum has been organized into four units. While the pacing of the units is left up to individual schools and teachers, the curriculum writers’ intent is for each unit to represent one-fourth of the total course content.
Unit titles reflect the “big ideas” of geometry. The main topics listed in each unit summarize the Alabama Course of Study and TEAM-Math objectives.
The texts referenced in the geometry curriculum are Glencoe Geometry, Interactive Mathematics Program, and Discovering Geometry. These resources guide teachers in using inquiry-based methods and are endorsed by the TEAM-Math Partnership. Teachers are encouraged to research, develop, and implement additional inquiry activities to meet their students’ learning needs.
Suggested Pacing Guide (Cohort Version)
Unit / Semester Block / Full YearFundamentals of Geometry – Lines, Angles, and Logic / 4 ½ weeks / 9 weeks
Triangles – Classification, Congruency, Similarity, and Trigonometry / 4 ½ weeks / 9 weeks
Geometric Figures – Quadrilaterals, Transformations, and Circles / 4 ½ weeks / 9 weeks
Area and Volume – Area of Polygons and Circles, Surface Area and Volume / 4 ½ weeks / 9 weeks
2005 TEAM-Math Curriculum Guide (July 15)p. 17-1
Chapter 17 – Curriculum for Geometry (Cohort Version)
Suggested Sequence of Instructions (Cohort Version)
UNIT: 1 Shadows: Fundamentals of Geometry – Lines, Angles and Logic
Topics / AL COS / TEAM-Math / AHSGE / Glencoe / DGInvestigations / IMP / DocumentationUnderstand undefined terms of geometry / 1-1 p 6-12 / p 29
Analyze information in geometric contexts to determine what relationships exist / 9 / D4 / Throughout Chapter 2 / P 106, p 112, p 118, p 136 / Shadows
[Throughout]
Demonstrate competency with measurement tools / 17 / M1 / 1-2 p 13-20 / P 41, p 143, p 144, p 168 / Shadows [Throughout]
Determine equations of parallel and perpendicular lines / 1,2,12 / G5, G3 / III-1, 2 IV-2
V-1,2,4 / 3-3 p 139-144
3-4 p 145-150
3-5 p 151-157 / P 165, p 210 / Shadows [Days 2-5] / Must supplement Shadows with Glencoe here
Revisit Pythagorean theorem and apply distance, midpoint, and slope formulas / 12 / G3 / IV-2, VII-2 / 1-3 p 21-28
2-7 p. 101-106
3-3 p. 139-144 / P 36, p 133, P 462, P 468, P 486, / Optional here, may be introduced in Bees
Determine the equation of a circle / 5a / 10-8 p 575-580 / P 488
Introduction to coordinate geometry through perimeter of polygons / 11 / M3 / IV-1
VII-3 / 1-6 p 45-52
Use inductive and deductive reasoning / 9, 17 / D2, G5 / 2-1 p 62-66
2-3 p 75-80
2-4 p 82-88 / P 96, p 102, P 551, P 611, / Shadows
[Days 9-12]
Using methods of proof to justify theorems / 9 / G5 / II-1
II-2 / 2-5 p 89-93 / P 692, P 696, P 708, / Shadows [Throughout]
Apply properties of similar triangles including use of scale factors and proportions / 3a, 5 / G2 / VII-3
VII-4
VII-7 / 6-1 p 282-288
6-2 p 289-297 / Shadows
[Days 7-13]
Application of inequalities to geometric problems (triangle inequalities) / 9a, 8 / G6 / 5-2 p 247-254
5-4 p 261-266
5-5 p 267-273 / P 214, p 215, p 215, / Shadows
[Days 11-12]
Identify angle relationships and justify theorems related to pairs of angles / 2 / G4, G5,
D4 / VII-1 / 1-4 p 29-36
1-5 p 37-44
2-8 p. 107-114
3-2 p. 133-138
3-3 p. 139-144 / P 49, p 120, p 121, p 126, p 128 / Shadows
[Days 14-16]
Application of equations to geometric problems / 12 / A1a / II-1 / Throughout Chapter 3 / Shadows
[Throughout]
UNIT: 2 Triangles – Classification, Congruency, Similarity and Trigonometry
Topics / AL COS / TEAM-Math / AHSGE / Glencoe / DGInvestigations / IMP / DocumentationClassify types of triangles / 8 / G2 / 4-1 p 178-183 / P 60
Apply angle properties of triangles / 8 / G6 / VII-1 / 4-2 p 184-191 / P 199
Prove triangles are congruent and use properties of congruent triangles of find missing measures(CPCTC) / 5, 8 / G2 / 4-3 p 192-198
4-4 p 200-206
4-5 p 207-215 / P 220, p 221, p 225, p 230, / Shadows [Day 10]
Appendix A Triangular Data
Utilize the properties of isosceles and equilateral triangles to determine missing measures / 5, 8 / G6 / II-1
VII-1 / 4-6 p 216-221 / P 205, p 206, p 242
Identify special segments of triangles, their intersections and their measurement properties / 8 / G6 / 5-1 p 236-245 / P 147, p 148, p 157, p 158, p 176, p 177, p 183, p 184, p 189, p 190, P 329, P 401,
Apply properties of parallel lines, similar polygons and similartriangles including use of scale factors and proportions / 3a, 5 / G2 / VII-3
VII-4
VII-7 / 6-3 p 298-306
6-4 p 307-315
6-5 p 316-323 / P 564, P 581, P 586, P 588, P 604, P 606, / Shadows
[Days 17-19]
Determine geometric mean to find missing lengths in right triangles / 5, 8a / N4, G5 / VII-3 / 7-1 p 342-348
Apply Pythagorean theorem, special right triangle rules, and other operations involving radicals to find missing lengths of sides / 6, 7 / N4, G4,
G6 / IV-2
VII-2 / 7-2 p 349-356
7-3 p 357-363 / P 475, P 476, P 634, P 635, P 641, / (2) Bees [Days 11-16]
Apply right triangle definitions of sine, cosine and tangent to find missing measures / 10 / G6 / II-1 / 7-4 p 364-370
7-5 p 371-376 / P 622, / (1) Shadows
[Days 22-25]
Apply factoring and use of polynomials in problem solving applications(covered throughout) / A3 / I-3, I-4
II-2 / Throughout text
UNIT: 3 Geometric Figures- Quadrilaterals, Transformations and Circles
Topics / AL COS / TEAM-Math / AHSGE / Glencoe / DG / IMP / DocumentationDetermine the measures of interior and exterior angles associated with polygons and verify the formulas / 4, 4a / M2, M2a / VII-4 / 8-1 p 404-410 / P 256, p 260
Identify quadrilaterals from verbal descriptions of properties and apply the properties / 3 / G1, A1a / VII-4 / 8-2 p 411-416
8-3 p 417-423
8-4 p 424-430
8-5 p 431-438
8-6 p 439-445 / P 62, p 268, p 273, p 274, p 279, p 287, p 288, p 289
Understand and analyze properties of transformations / G2 / 9-1 p 462-469
9-2 p 470-475
9-3 p 476-482 / P 360, P 367,P 374, P 375,
Coordinate geometry applications of transformations / 13 / M6 / 8-7 p 447-451
9-1 p 462-469
9-2 p 470-475
9-3 p 476-482 / P 367, P 566, P 572, P 573, P 574,
Introduce operations with vectors / N4 / 9-6 p 498-505
Understand and apply properties of circles including arcs, chords, secants, tangents, and angles related to circles / 15 / M4 / VII-1
VII-2
VII-3 / Chapter 10 10-1 to 10-7 p 522-574 / P 69, P 319, P 320, P 321, P 321, P 342,
Real life applications related to circles, quadrilaterals and other geometric shapes / 5 / A3 / VII-3
VII-4 / Throughout Unit 3
Chapters 8, 9 & 10 / P 86, p 307, p 307, p 309, p 309, p 313, p 314,
Construct with precision a circle graph representing data / 18 / D3 / 10-2 p 529-535
UNIT: 4 Do Bees Build It Best? Area and Volume- Area of Polygons and Circles, Surface Area and Volume
Topics / AL COS / TEAM-Math / AHSGE / Glencoe / DG / IMP / DocumentationApply geometric properties and relationships in solving multi-step problems in two and three dimensions (also throughout Units 2 and 3) / G4 / II-1 / Throughout Text / (2) Bees - throughout unit
Area of rectangles, triangles, parallelograms, and trapezoids / 11 / G4, M3 / VII-3
VII-4 / 11-1 p 595-600
11-2 p 601-609 / P 412, P 417, P 417, P 418, P 426, P 433, / (2) Bees [Days 2-8],
(2) Bees [Day 11], (2) Bees [day 17]
Revisit similarity and right triangle definitions of sine, cosine and tangent to find missing measures / 10 / G6 / II-1 / 7-4 p 364-370
7-5 p 371-376 / P 622, / (2) Bees [Days 9-10] [Days 18] [days 21]
Revisit Pythagorean theorem / 12 / G3 / IV-2, VII-2 / 1-3 p 21-28
7-2 p 350-356 / P 462, P 468, P 486, / (2) Bees [Days 11-15 / Optional here, may be introduced in Bees
Calculate probabilities arising in geometric contexts / 17b / D5 / VII-6 / 11-5 p 622-627 / P 442, / (2) Bees [Day 11]
Application of equations to geometric problems / 12 / A1-a / II-1 / Throughout / (2) Bees [days 15-16]
Determine relationships between perimeter, surface area and volume of similar figures / 16c / M5c / 13-4 p 707-713 / P 592, P 594, P 599 / (2) Bees [days 18], [day 28]
Area of polygons, circles, and irregular figures / 11 / G4, M3 / VII-3
VII-4 / 11-1 p 595-600
11-2 p 601-609
11-3 p 610-616
11-4 p 617-621 / P 412, P 417, P 417, P 418, P 426, P 433, / (2) Bees [Days 18-20], / Must supplement bees for irregular figures
Classify polyhedra according to their properties / 14 / G1 / 12-1 p 636-642 / (2)Bees [Days 25-26] / Must supplement Bees for spheres, cones, pyramids and Platonic Solids
Develop formulas for & calculate surface area; find missing dimensions of solid figures including cylinders, prisms, spheres, cones, and pyramids from surface area / 16,
16a
16b / M5,
M5a
M5b / VII-4 / 12-3 p 649-654
12-4 p 655-659
12-5 p 660-665
12-6 p 666-670
12-7 p 671-677 / P 448, P 449, P 546, / (2) Bees [Days 22-29] / Must supplement bees for spheres, cones, and pyramids
Develop formulas for & calculate volume; find missing dimensions of solid figures including cylinders, prisms, spheres, cones, and pyramids from volume / 16
16a
16b / M5
M5a
M5b / VII-4 / 13-1 p 688-695
13-2 p 696-701
13-3 p 702-706 / P 515, P 522, P 542, / (2) Bees [Days 23-29] / Must supplement bees for spheres, cones and pyramids
Calculate measures of sectors of a circle / 15 / M4 / 11-5 p 622-627
2005 TEAM-Math Curriculum Guide (July 15)p. 17-1
Chapter 17. Curriculum for Geometry (Non-cohort Version)
Curriculum for Geometry (Non-Cohort Version)
The geometry curriculum for non-cohort teachers has been organized into four units. While the pacing of the units is left up to individual schools and teachers, the curriculum writers’ intent is for each unit to represent one-fourth of the total course content.
Unit titles reflect the “big ideas” of geometry. The main topics listed in each unit summarize the Alabama Course of Study and TEAM-Math objectives.
Suggested Pacing Guide
Unit / Semester Block / Full YearFundamentals of Geometry – Lines, Angles, and Logic / 4 ½ weeks / 9 weeks
Triangles – Classification, Congruency, Similarity, and Trigonometry / 4 ½ weeks / 9 weeks
Geometric Figures – Quadrilaterals, Transformations, and Circles / 4 ½ weeks / 9 weeks
Area and Volume – Area of Polygons and Circles, Surface Area and Volume / 4 ½ weeks / 9 weeks
2005 TEAM-Math Curriculum Guide (July 15)p. 17-1
Chapter 17. Curriculum for Geometry (Non-cohort Version)
Part A. Suggested Sequence of Instruction (Non-Cohort Version)
This curricular sequence is aligned with the chapters of the Glencoe textbook and should only be used by teachers who have not yet attended summer institute. Each unit is considered to be ¼ of the course.
UNIT: 1 Fundamentals of Geometry – Lines, Angles and Logic
Topics / AL COS / TEAM-Math / Glencoe / IMPUnderstand undefined terms of geometry (point, line, plane) / 1-1 p 6-12
Demonstrate competency with measurement tools (ruler, protractor, compass) / 17 / M1 / 1-2 p 13-20
Revisit Pythagorean theorem and apply distance, midpoint, and slope formulas / 12 / G3 / 1-3 p 21-28
Identify angle relationships and justify theorems related to pairs of angles / 2 / G4, G5,
D4 / 1-4 p 29-36
1-5 p 37-44 / (1) Shadows
[Days 14-16]
Introduction to coordinate geometry through perimeter of polygons (introduced here but covered throughout) / 11 / M3 / 1-6 p 45-52
Use inductive and deductive reasoning / 9, 17 / D2, G5 / 2-1 p 62-66
2-2 p 67-74
2-3 p 75-80
2-4 p 82-88 / (1) Shadows
throughout unit
Using methods of proof to justify theorems / 9 / G5 / 2-5 p 89-93
2-6 p 99-100
2-7 p 101-106
2-8 p107-114
Analyze information (introduced here but covered throughout ) / 9 / D4 / Throughout Chapter 2 / (1) Shadows
throughout unit
Determine equations of parallel and perpendicular lines / 1,2,12 / G5 / 3-1 p 126-131
3-2 p 133-138
3-3 p 139-144
3-4 p 145-150
3-5 p 151-157
Application of equations to geometric problems(covered throughout) / 12 / A1a / Throughout Chapter 3 / (1) Shadows
throughout unit
UNIT: 2 Triangles – Classification, Congruency, Similarity and Trigonometry
Topics / AL COS / TEAM-Math / Glencoe / IMPClassify types of triangles / 8 / G2 / 4-1 p 178-183
Apply angle properties of triangles / 8 / G6 / 4-2 p 184-191
Prove triangles are congruent and use properties of congruent triangles of find missing measures(CPCTC) / 5, 8 / G2 / 4-3 p 192-198
4-4 p 200-206
4-5 p 207-215
Utilize the properties of isosceles and equilateral triangles to determine missing measures / 5, 8 / G6 / 4-6 p 216-221
Identify special segments of triangles, their intersections and their measurement properties / 8 / G6 / 5-1 p 236-245
Application of inequalities to geometric problems (triangle inequalities) / 9a, 8 / G6 / 5-2 p 247-254
5-4 p 261-266
5-5 p 267-273 / (1) Shadows
[Days 11-12]
Apply properties of similar triangles including use of scale factors and proportions / 3a, 5 / G2 / 6-1 p 282-288
6-2 p 289-297
6-3 p 298-306
6-4 p 307-315
6-5 p 316-323 / (1) Shadows
[Days 7-13
Days 17-19]
Determine geometric mean to find missing lengths in right triangles / 5, 8a / N4, G5 / 7-1 p 342-348
Apply Pythagorean theorem, special right triangle rules, and other operations involving radicals to find missing lengths of sides / 6, 7 / N4, G4,
G6 / 7-2 p 349-356
7-3 p 357-363 / (1) Shadows
[Days 7-13]
(2) Bees [Days 11-16]
Apply right triangle definitions of sine, cosine and tangent to find missing measures / 10 / G6 / 7-4 p 364-370
7-5 p 371-376 / (1) Shadows
[Days 22-25]
(2) Bees [Days 9-10]
Apply factoring and use of polynomials in problem solving applications(covered throughout) / A3 / Throughout text
UNIT: 3 Geometric Figures- Quadrilaterals, Transformations and Circles
Topics / AL COS / TEAM-Math / Glencoe / IMPDetermine the measures of interior and exterior angles associated with polygons and verify the formulas / 4, 4a / M2, M2a / 8-1 p 404-410
Identify quadrilaterals from verbal descriptions of properties and apply the properties (parallelogram, rhombus, square, and trapezoid.) / 3 / G1, A1a / 8-2 p 411-416
8-3 p 417-423
8-4 p 424-430
8-5 p 431-438
8-6 p 439-445
Understand and analyze properties of transformations / G2 / 9-1 p 462-469
9-2 p 470-475
9-3 p 476-482
Coordinate geometry applications of transformations / 13 / M6 / 8-7 p 447-451
9-1 p 462-469
9-2 p 470-475
9-3 p 476-482
Introduce operations with vectors / N4 / 9-6 p 498-505
Understand and apply properties of circles including arcs, chords, secants, tangents, and angles related to circles / 15 / M4 / Chapter 10 10-1 to 10-7 p 522-574
Real life applications related to circles, quadrilaterals and other geometric shapes / 5 / A3 / Throughout Unit 3
Chapters 8, 9 & 10
Construct with precision a circle graph representing data / 18 / D3 / 10-2 p 529-535
Determine the equation of a circle / 5a / 10-8 p 575-580
UNIT: 4 Area and Volume- Area of Polygons and Circles, Surface Area and Volume
Topics / AL COS / TEAM-Math / Glencoe / IMPArea of polygons, circles, and irregular figures / 11 / G4, M3 / 11-1 p 595-600
11-2 p 601-609
11-3 p 610-616
11-4 p 617-621 / (2) Bees [Days 3-8]
Calculate measures of sectors of a circle / 15 / M4 / 11-5 p 622-627
Calculate probabilities arising in geometric contexts / 17b / D5 / 11-5 p 622-627
Classify polyhedra according to their properties / 14 / G1 / 12-1 p 636-642
Develop formulas for & calculate surface area; find missing dimensions of solid figures including cylinders, prisms, spheres, cones, and pyramids from surface area / 16,
16a
16b / M5,
M5a
M5b / 12-3 p 649-654
12-4 p 655-659
12-5 p 660-665
12-6 p 666-670
12-7 p 671-677 / (2) Bees [Days 22-27]
Develop formulas for & calculate volume; find missing dimensions of solid figures including cylinders, prisms, spheres, cones, and pyramids from volume / 16
16a
16b / M5
M5a
M5b / 13-1 p 688-695
13-2 p 696-701
13-3 p 702-706 / (2) Bees [Days 22-27]
Determine relationships between surface area and volume of similar figures / 16c / M5c / 13-4 p 707-713
Apply geometric properties and relationships in solving multi-step problems in two and three dimensions (also throughout Units 2 and 3) / G4 / Throughout Text / (2) Bees - throughout unit
2005 TEAM-Math Curriculum Guide (July 15)p. 17-1
Chapter 17. Curriculum for Geometry (Appendix)
Appendix: Correlation of Objectives with Recommended Textbooks
NUMBER STRAND – Geometry
Alabama Course of Study / TEAM-Math / AHSGE / Glencoe / IMP Unit / Core PlusG4. Apply operations involving radicals and introduce operations with vectors. / IV-2,VII-2
IV-2,VII-1,VII-2
ALL:VII-4 / 7-2 p 349-356
9-6 p 498-505
p 744-745 / (3) Meadows or Malls [ Days 27-35 ] / IV-A Unit 2 Lesson 1 Navigation
II-A Unite 2 Lesson 1 Modeling p102
ALGEBRA STRAND – Geometry
Alabama Course of Study / TEAM-Math / AHSGE / Glencoe / IMP Unit / Core PlusA1a. Extend solving equations and inequalities to applications.
b. Reinforce and apply operations on polynomials / ALL:VII-4 / Scattered throughout text / (3) Fireworks [ Day 2] / III-A Unit 3 Lesson 5 Investigation 2 Algebraic (Reasoning in Geo and Stat)
A3. Applying factoring when problem solving. / (3) Fireworks [ Day 4 ] / IV-B Lesson 1 Investigation 1
1. Determine the equation of a line parallel or perpendicular to a second line through a given point. / IV-2,VI-1
II-1,II-3,IV-2, VII-1
ALL:VII-4 / 3-4 p 146-147
5-1 p 241-242 / II-A Unit 2 Lesson 1 Modeling p 90
GEOMETRY STRAND – Geometry
Alabama Course of Study / TEAM-Math / AHSGE / Glencoe / IMP Unit / Core Plus3. Verify the relationships among different classes of polygons by using their properties.
a. Determining the missing lengths of sides or measures of angles in similar polygons
14. Classify polyhedrons according to their properties, including the number of faces.
b. Identifying Euclidean solids / G1. Identify geometric figures from a verbal description of its properties. (Course of Study #3 & #14) / II-1,VI-1,VII-1, VII-3
II-1,IV-2, VI-1, VII-1, VII-3
II-1,IV-2,VI-1, VII-3
II-1, IV-1
ALL:VII-4 / 6-2 p 289-296
6-3 p 300-301
6-4 p 308-309
6-5 p 316-318
12-1 p 636-642 / (1) Patterns [ p 115, 119]
(1) Shadows [ Day 11]
(3) Orchard Hideout [Day 1] / II-B Unit 6 Investigation 1
Lesson 1 (Using Quadrilaterals In linkages)
I-B unit 5 Lesson 3 Investigation 1(Polygons and Their Properties)
8. Deduce relationships between two triangles, including proving congruence or similarity of the triangles from given information, using the relationships to solve problems and to establish other relationships.
a. Determining the geometric mean to find missing lengths in right triangles
13. Identify the coordinates of the vertices of the image of a given polygon that is translated, rotated, reflected, or dilated. / G2. Understand and analyze properties of transformations, similarity, and congruence. (Course of Study #8 & #13) / IV-2,VII-1
IV-2,VII-1
VII-1
VII-1
II-1,IV-2, VI-1,
VII-1, VII-3
II-1, IV-1
II-2, VII-3
ALL:VII-4 / 4-3 p 192-194
4-4 p 200-203
4-5 p 207- 210
4-5 Follow Up p 214- 215
6-3 p 298-301
6-5 p 316-319
7-1 p 342- 344 / (1) Shadows[ Days 6-16]
(2) Do Bees Build [ entire unit]
(3) Orchard Hideout [Day 1] / II-A Unit 2 Investigation 1 Modeling Rigid Transformations
II-B Unit 2 Investigation 2 Lesson 1 Linkages and Similarity
12. Apply distance, midpoint, and slope formulas to solve problems and to confirm properties of polygons. / G3. Apply distance, midpoint, and slope formulas to solve problems and to confirm properties of polygons. (Course of Study #12) / I-2, II-1,IV-1,IV-2,
VI-1,VII-1
II-1,VI-1,VII-1, VII-3
II-1, IV-1
II-1,IV-2,VII-1
I-2,II-1,IV-1,IV-2,
VII-1
I-2,II-1,IV-2,VII-1
II-1,IV-1,VI-1
II-1,VII-1
IV-1, IV-2,VII-3
IV-1, IV-2,
II-1, IV-1, IV-2
IV-1, IV-2, VI-1
ALL: VII-4 / 1-6 p 48-49
6-2 p 295
6-5 p 315
8-2 p 415
8-3 p 420-422
8-6 p 442-448
9-2 p 472
9-4 p 488
9-5 p 495
11-1 p 597-599
11-2 p 603
11-2 p 605-606
11-4 p 618-621 / II-A Lesson 1 Unit 2 Investigation 1 Plotting Polygons and Computing distances
5. Solve real-life and mathematical problems using properties and theorems related to circles, quadrilaterals, and other geometric shapes.
a. Determining the equation of a circle given its center and radius
6. Apply the Pythagorean Theorem to solve application problems, expressing answers in simplified radical form or as decimal approximations, using Pythagorean triples when applicable. / G4. Apply geometric properties and relationships in solving multi-step problems in 2 & 3 dimensions. (Course of Study #5 & #6) / I-2,II-1,IV-1,IV-2,
VII-1,VI-1
IV-2
II-1,VII-1
IV-2,VII-1
VII-1
VII-1
VI-1,VII-1,VII-3,
IV-2,VI-1,VII-1,VII-3
VII-3
VII-2,VII-3
IV-2,VII-2
IV-2,VII-1,VII-2
VI-1,VII-2
VI-1
VI-1,VII-2
VII-1
IV-2,VII-1
IV-2,VII-1
II-1,IV-1,VII-1
IV-1,VI-1
II-1,II-2,IV-1,VI-1
II-3,IV-2
IV-2
IV-2
IV-2,VI-1
ALL: VII-4 / 1-6 P 47
4-1 P 178
4-2 P 188
4-3 P 193
4-5 P 209-210
5-2 P 250
5-5 P 270
6-2 P 290-292
6-3 P 300-301
6-4 P 310
6-5 P 318
7-1 P 344
7-2 P 350-356
7-3 P 358
7-5 P 371-372
7-6 P 379-380
7-7 P 387
8-1 p 405
8-3 p 418
8-5 p 433
10-3 p 537
10-6 p 563
10-7 p 570
10-8 p 575-577
11-1 p 596-597
11-3 p 612
11-4 p 618 / (1) Shadows [ Days 10, 20]
(2) Do Bees Build [Days 12-16]
(3) Orchard Hideout Day [ 5-14,19] / II-B Unit 6 Lesson 2 Investication 1 (Triangles with a Variable –Length side)
I-B Unit 5 Investigation 2 Lesson 2 (Television screen and Pythagoras)
2. Justify theorems related to pairs of angles, including angles formedby parallel and perpendicular lines, vertical angles, adjacent angles, complementary angles, and supplementary angles.
8. Deduce relationships between two triangles, including proving congruence or similarity of the triangles from given information, using the relationships to solve problems and to establish other relationships.
a. Determining the geometric mean to find missing lengths in right triangles
9. Use inductive reasoning to make conjectures and deductive reasoning to justify conclusions.
a. Recognizing the limitations of justifying a conclusion through inductive reasoning / G5. Emphasize proof by having students communicate with each other and justify theorems and methods of solving problems. (Course of Study #2 & #8) / I-2,II01,VI-1,VII-1
VII-1
ALL: VII-4
ALL: VII-4 / 1-5 p 37- 40
2-8 p 107-114
3-1 p 126-130
2-1 p 62-64
2-2 p 68-69
2-3 p 76-77
2-4 p 82-87
p 88
Study Guide p 115-117
5-3 p 255-257
Spreadsheet Inv p 410 / (1) Patterns[ Day 20]
(1) Shadows [ Days 9-16]
(2) Do Bees Build [Day 9]
(3) Orchard Hideout [Days 3,10] / II-B Unit 6 Lesson 1 Investigation 1 (Using Quadrilateral in Linkages)
III-A Unit 4 Lesson 1 Investigation 4 (parallel Lines, Transversals, and Angles)
IV-A Unit 4 Lesson 3 Investigation 1 (Infinity, recursion, and Mathematical Induction)
I-A Unit 2 Investigation 1 Modeling a Bungee Apparatus
7. Use the ratios of the sides of special right triangles to find lengths of missing sides.
a. Deriving the ratios of the sides of 30-60-90 and 45-45-90 triangles
10. Find the missing measures of sides and angles in right trianglesby applying the right triangle definitions of sine, cosine, and tangent. / G6. Determine lengths of sides and angle measures of triangles (including the use of trigonometry) (Course of Study #4 bullet & Course of Study #7 & Course of Study #10) / I-2,II-1,IV-1,VII-1
IV-2,VII-1,VII-2
IV-2,VII-1,VII-2,
VII-3
IV-1,VI-1,VII-2,
VII-4 / 8-1 p 404-410
7-3 p 357-363
7-4 p 364-370
7-5 p 371- 373 / (1) Patterns [ Days 15-20]
(1) Shadows [ Days 13, 16, 20, 22-25]
(2) Do Bees Build [Days 8-10,21]
(3) Orchard Hideout [Day 1] / II-B Unit 6 Lesson 2 Investigation 2 (What’s the Angle?)
III-A Unit 4 Lesson 1 Investigation 4 (Parallel Lines Transversals and Angles)
II –B Unit 6 Lesson 2 Investigation 3 (Measuring without measuring)
MEASUREMENT STRAND – Geometry
Alabama Course of Study / TEAM-Math / AHSGE / Glencoe / IMP Unit / Core PlusM1. Analyze various problems to determine which measurement and tools are appropriate in relation to Geometry topics, including analyzing accuracy and approximate error. / ALL: VII-4 / Scattered throughout text / (1) Shadows [ Days 6-12 ]
(2) Do Bees Build [ Days 2-8 ]
(3) Orchard Hideout [ Days 5-7 ]
(3) Meadows or Malls [Days 8-14 ]
(4) As The Cube Turns [ Days 20-30]
(4) Know How [ Days 3-4 } / IV-A Unit 5 Lesson 4 Investigation 1 (Characteristics of Experiments)
4. Determine the measure of interior and exterior angles associated with polygons.
a. Verifying the formulas for the measures of interior and exterior angles of polygons inductively and deductively / M2. Determine the measure of interior and exterior angles associated with polygons.
a. Verifying the formulas for the measures of interior and exterior angles of polygons inductively and deductively
(Course of Study #4) / I-2,II-1,IV-1, VII-1, VII-4
ALL: VII-4 / 8-1 p 404-410 / (1) Shadows [ Days 12, 14-15] / III-A Unit 4 Lesson 1 Extending p295
III-A Capstone Investigation 1 (Do Bees Build it Best)
11. Determine the areas and perimeters of regular polygons, including inscribed or circumscribed polygons, given the coordinates of vertices or other characteristics.
15. Calculate measures of arcs and sectors of a circle from given information.
Examples: finding the area of a sector given its arc length and radius, finding the arc length of a sector given its area and radius, finding the area or arc length given the measure of the central angle and the radius
16. Calculate surface areas and volumes of solid figures, including spheres, cones, and pyramids.
a. Developing formulas for surface area and volume of spheres, cones, and pyramids
b. Calculating specific missing dimensions of solid figures from surface area or volume
c. Determining the relationship between the surface areas of similar figures and volumes of similar figures / M3. Determine the areas and perimeters of regular polygons, including inscribed or circumscribed polygons, given the coordinates of vertices or other characteristics.( Course of Study #11)
M4. Calculate measures of arcs and sectors of a circle from given information.
Examples: finding the area of a sector given its arc length and radius, finding the arc length of a sector given its area and radius, finding the area or arc length given the measure of the central angle and the radius (Course of Study #15)
M5. Calculate surface areas and volumes of solid figures, including spheres, cones, and pyramids.
a. Developing formulas for surface area and volume of spheres, cones, and pyramids
b. Calculating specific missing dimensions of solid figures from surface area or volume
c. Determining the relationship between the surface areas of similar figures and volumes of similar figures
(Course of Study #16) / I-2,II-1,IV-1,IV-2,
VII-1,VI-1
IV-2
IV-2,VII-1
IV-2,VI-1,VII-1
IV-1,VI-1,VII-2
IV-1,IV-2,VII-1
VII-1,IV-2
IV-1
IV-1,IV-2
IV-1,IV-2
IV-1,IV-2
IV-1,IV-2
I-2,II-1,IV-1,VII-1
I-2,II-1,IV-1,VII-1,
VII-2
VII-6
IV-1,VII-2
IV-1,VII-2
IV-1,VII-2
IV-1
IV-1
I-3,I-4,IV-1
IV-1,VII-3
All: VII-4
/ 1-6 p 47-494-1 p 180
5-1 p 241-244
6-3 p 302
6-3 p 305-306
7-7 p 390
8-5 p 432
8-6 p 442-445
10-1 p 528
11-1 p 595-598
11-2 p 601-603
11-3 p 610-616
11-4 p 617-618
12-1 p 642
Skills p 732-733
10-2 p 529-535
10-3 p 536- 543
11-5 p 623- 626
12-5 p 660 –665
12-6 p 666- 669
12-7 p 671- 676
13-2 p 696- 700
13-3 p 702 – 706
12-4 p 656
13-4 p 707 – 713 / (2) Do Bees Build It [entire unit]]
(3) Orchard Hideout [Days 5-14] / III-A Capstone Investigation (Do Bees Build it Best?)
I-A Unit 2 Lesson 4 P151 #5
I-B Unit 5 Lesson 1 Investigation 2 (Recognizing and Constructing Space-Shapes)
I-B Unit 5 Lesson 2 Investigation 1 (Describing size)
I-B Unit 5 Lesson 2 Investigation 3 (Size Measures for Space-Shapes)
13. Identify the coordinates of the vertices of the image of a given polygon that is translated, rotated, reflected, or dilated. / M6. Identify the coordinates of the vertices of the image of a given polygon that is translated, rotated, reflected, or dilated.
Example: using a translation vector, rotating a triangle a given number of degrees around a specific point
(Course of Study #13) / II-1,IV-1,VI-1
IV-1,VII-1
IV-1,IV-2,VII-3
IV-1,IV-2
All: VII-4 / 9-1 p 465-468
9-2 p 470-474
9-3 p 479-481
9-5 p 492- 495
11-1 p 600 / (1) Shadows [ p 43 ]
(4) As The Cube Turns [ Days 8-20,31-33]
(4) World Of Functions [Days 27-28] / I-B Unit 5 Tessellations/Symmetry
I-B Unit 5 Lesson 3 Investigation 3 (Symmetry, Patterns In Strips)
DATA ANALYSIS & PROBABILITY STRAND – Geometry