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Geometry Curriculum Guide Grades 10-11 |
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Objectives |
Core Curr. |
Instructional |
Assessment |
Resources |
GEPA HSPA Terra Nova |
| The student will be able to: | Geometry: Geometry, Jurgensen, Brown, Jurgensen/ Houghton Mifflin | ||||
| · Use the terms equidistant, point, and line, and draw representations of points and lines. |
4.7
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Sec. 1-1: "A Game and Some Geometry", pp. 1-4; Class Ex. pp. 2-3; Guided Practice, p. T3 | Teacher Observation; Self-Test 1, p. 10; Chapter Review, p. 30; Chapter Test, p. 31; Alternate Test, p. T12; Teacher-made Test; Multi-Cultural: See "Cultural Note", p. TXVI | Study Guide, pp. 1-2 Computer Activity 1 |
M. II |
| · Use the terms plane, collinear, coplanar, and intersection, and draw representations of planes. | 4.7 | Sec. 1-2: "Points, Lines, and Planes", pp. 5-9; Chalkboard Ex. p. T6; Class Ex. p. 7; Guided Practice, p. T7; Cooperative Learning, p. T75; Group Activity, p. T9 |
Quick Quiz, p. T10 Test 1 |
Practice Master 1 Resource Book, pp. 1, 109; Study Guide, pp. 3-4; Overhead Visuals A, B |
M. II |
| · Use symbols for lines, segments, rays, and distances, find distances, and state and use the Ruler Postulate and the Segment Addition Postulate. | 4.7 | Sec. 1-3: "Segments, Rays, and Distance", pp. 11-16; Chalkboard Ex. p. T12; Class Ex. p. 14; Guided Practice, p. T15 | Self-Test 2, p. 29 | Study Guide, pp. 5-6 Overhead Visual C Computer Activity 2 |
M. II |
| · Name angles and find their measures, state and use the Angle Postulate, and recognize what can be concluded from a diagram. | 4.7 | Sec. 1-4: "Angles", pp. 17-22; Chalkboard Ex. p. T18; Class Ex. p. 20; Guided Practice, p. T21 | Test 2 | Practice Master 2 Resource Book, pp. 2, 110; Study Guide, pp. 7-8; Overhead Visual C |
M. II |
| · Use postulates and theorems relating points, lines, and planes. | 4.7 | Sec. 1-5: "Postulates and Theorems Relating Points, Lines, and Planes", pp. 22-26; Chalkboard Ex. p. T24; Class Ex. p. 24; Guided Practice, p. T25; Cooperative Learning, p. T78; Exploring Activity, p. c |
Quick Quiz, p. T29; Test 3 Multi-Cultural: See "Cultural Note", p. T24 |
Practice Master 3; Test 3 Resource Book, pp. 3, 111; Study Guide, pp. 9-10; Overhead Visual A |
M. II |
| · Recognize the hypothesis and conclusion of an if-then statement, state the converse of an if-then statement, use a counterexample to disprove an if-then statement, and understand the meaning of "if and only if." | 4.7 | Sec. 2-1: "If-Then Statements; Converses", pp. 33-35; Class Ex. p. 34; Guided Practice, p. T35 | Teacher Observation; Self-Test 1, p. 49; Chapter Review, pp. 67-68; Chapter Test, pp. 68-69; Alternate Test, p. T13; Teacher-made Test; Multi-Cultural: See "Cultural Note", p. T36 | Practice Master 5 Study Guide, pp. 11-12 Computer Activity 3 |
M. II S-9 |
| · Use properties from algebra and properties of congruence in proofs. | 4.7 | Sec. 2-2: "Properties from Algebra", pp. 37-43; Chalkboard Ex. p. T38; Class Ex. p. 40; Guided Practice, p. T41; Cooperative Learning, p. T80; Group Activity, p. T42 | Practice Master 6 Study Guide, pp. 13-14 |
M. II S-9 |
|
| · Use the Midpoint Theorem and the Angle Bisector Theorem, and know the kinds of reasons that can be used in proofs. | 4.7 | Sec. 2-3: "Proving Theorems", pp. 43-47; Chalkboard Ex. p. T45; Class Ex. p. 45; Guided Practice, p. T46; Group Activity, p. T47 |
Quick Quiz, p. T49 Test 5 |
Practice Master 7 Resource Book, pp. 6, 113; Study Guide, pp. 15-16 |
M. II S-9 |
| · Apply the definitions of complementary and supplementary angles, and state and use the theorem about vertical angles. | 4.7 | Sec. 2-4: "Special Pairs of Angles", pp. 50-54; Chalkboard Ex. p. T51; Class Ex. pp. 51-52; Guided Practice, p. T52 |
Self-Test 2, p. 65 Multi-Cultural: See "Cultural Note", p. T54 |
Practice Master 8 Study Guide, pp. 17-18 Computer Activity 4 |
M. II S-9 |
| · Apply the definition and theorems about perpendicular lines. | 4.7 | Sec. 2-5: "Perpendicular Lines", pp. 56-60; Chalkboard Ex. p. T57; Class Ex. p. 57; Guided Practice, p. T58; Cooperative Learning, p. T82 | Test 6 | Resource Book, pp. 7, 114; Study Guide, pp. 19-20; Overhead Visuals A, C |
M. II S-9 |
| · State and apply the theorems about angles supplementary to, or complementary to, congruent angles, and plan proofs and then write them in two-column form. | 4.7 | Sec. 2-6: "Planning a Proof", pp. 60-65; Chalkboard Ex. p. T61; Class Ex. p. 62; Guided Practice, p. T63; Group Activity, p. T64 |
Quick Quiz, p. T65; Test 7 Multi-Cultural: See "Cultural Note", p. T66 |
Practice Master 9 Resource Book, pp. 8, 115; Study Guide, pp. 21-22 |
M. II S-9 |
| · Distinguish between intersecting, parallel, and skew lines, state and apply the theorem about the intersection of two parallel planes by a third plane, and identify the angles formed when two lines are cut by a transversal. | 4.7 | Sec. 3-1: "Definitions", pp. 73-77; Chalkboard Ex. p. T74; Class Ex. p. 75; Guided Practice, p. T76; Group Activity, p. T77 | Teacher Observation; Self-Test 1, p. 89; Chapter Review, pp. 111-112; Chapter Test, pp. 112-113; Alternate Test, p. T14; Teacher-made Test; Multi-Cultural: See "Cultural Note", p. T72 | Study Guide, pp. 23-24 Overhead Visual B |
M. II S-9 |
| · State and apply a postulate and theorems about parallel lines. | 4.7 | Sec. 3-2: "Properties of Parallel Lines", pp. 78-82; Chalkboard Ex. p. T79; Class Ex. p. 80; Guided Practice, pp. T80-81 | Practice Master 12 Resource Book, p. 261 Study Guide, pp. 25-28 |
M. II S-9 |
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| · State and apply the postulates and theorems about parallel lines and about a parallel and perpendicular to a given line through a point outside the line. | 4.7 | Sec. 3-3: "Proving Lines Parallel", pp. 83-88; Chalkboard Ex. p. T84; Class Ex. p. 86; Guided Practice, p. T87 |
Quick Quiz, p. T89 Test 9 |
Practice Master 13 Resource Book, pp. 11, 117; Study Guide, pp. 29-32 |
M. II S-9 |
| · Classify triangles according to sides and to angles, and state and apply the theorems and corollaries about the interior angle sum of a triangle and the measure of an exterior angle of a triangle. | 4.7 | Sec. 3-4: "Angles of a Triangle", pp. 93-99; Chalkboard Ex. pp. T94-95; Class Ex. p. 96; Guided Practice, p. T97; Exploring Activity, p. 71c | Self-Test 2, p. 110 | Resource Book, p. 261 Study Guide, pp. 33-34 Computer Activity 5 |
M. II |
| · Recognize and name convex and regular polygons, and find the measures of interior and exterior angles of convex polygons. | 4.7 | Sec. 3-5: "Angles of a Polygon", pp. 101-105; Chalkboard Ex. p. T102-103; Class Ex. p. 103; Guided Practice, p. T104; Cooperative Learning, p. T86 | Test 10 | Practice Master 14 Resource Book, pp. 12, 118; Study Guide, pp. 35-36; Computer Activity 6 |
M. II |
| · Understand and use inductive reasoning. | 4.7 | Sec. 3-6: "Inductive Reasoning", pp. 106-109; Chalkboard Ex. p. T107; Class Ex. p. 107; Guided Practice, p. T107; Cooperative Learning, p. T87 |
Quick Quiz, pp. T110-111 Test 11 |
Practice Master 15 Resource Book, pp. 13, 119; Study Guide, pp. 37-38; Computer Activities 7, 8 |
M. II |
| · Identify the corresponding parts of congruent figures. | 4.7 | Sec. 4-1: "Congruent Figures", pp. 117-121; Chalkboard Ex. p. T118; Class Ex. p. 119; Guided Practice, p. T120; Cooperative Learning, p. T88 | Teacher Observation; Self-Test 1, pp. 132-133; Chapter Review, pp. 160-161; Chapter Test, pp. 162-163; Alternate Test, p. T15; Teacher-made Test; Multi-Cultural: See "Cultural Note", p. T116 | Study Guide, pp. 39-40 | M. II |
| · Prove two triangles congruent by using the SSS, SAS, and ASA Postulates. | 4.7 | Sec. 4-2: "Some Ways to Prove Triangles Congruent", pp. 122-127; Chalkboard Ex. p. T123; Class Ex. pp. 123-124; Guided Practice, p. T125; Exploring Activity, p. 115c | Practice Master 17 Study Guide, pp. 41-42 Computer Activity 9 |
M. II | |
| · Deduce information about segments and angles after proving that two triangles are congruent. | 4.7 | Sec. 4-3: "Using Congruent Triangles", pp. 127-132; Chalkboard Ex. p. T129; Class Ex. p. 129; Guided Practice, p. T130; Cooperative Learning, p. T89 |
Quick Quiz, pp. T132-133 Test 14 |
Practice Master 18 Resource Book, pp. 19, 122; Study Guide, pp. 43-46; Overhead Visuals A, D, F |
M. II
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| · Apply the theorems and corollaries about isosceles triangles. |
4.7
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Sec. 4-4: "The Isosceles Triangle Theorems", pp. 134-139; Chalkboard Ex. p. T135; Class Ex. p. 136; Guided Practice, p. T137 | Self-Test 2, p. 146 | Study Guide, pp. 47-50 | M. II |
| · Use the AAS Theorem to prove two triangles congruent, use the HL Theorem to prove two right triangles congruent, and prove that two overlapping triangles are congruent. | 4.7 | Sec. 4-5: "Other Methods of Proving Triangles Congruent", pp. 140-145; Chalkboard Ex. p. T142; Class Ex. pp. 142-143; Guided Practice, pp. 143-144; Group Activity, p. T144 |
Quick Quiz, pp. T145-146 Test 15 |
Practice Master 19 Resource Book, pp. 20, 123; Study Guide, pp. 51-54; Computer Activity 10 |
M. II
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| · Prove two triangles congruent by first proving two other triangles congruent. | 4.7 | Sec. 4-6: "Using More Than One Pair of Congruent Triangles", pp. 146-151; Chalkboard Ex. p. T147; Class Ex. p. 148; Guided Practice, p. T148 | Self-Test 3, p. 159 | Practice Master 20 Study Guide, pp. 55-56 |
M. II |
| · Apply the definitions of the median and altitude of a triangle and the perpendicular bisector of a segment, and state and apply the theorems (and their converses) about points on the perpendicular bisector of a segment and on the bisector of an angle. | 4.7 | Sec. 4-7: "Medians, Altitudes, and Perpendicular Bisectors", pp. 152-158; Chalkboard Ex. p. T154; Class Ex. p. 155; Guided Practice, p. T156 |
Quick Quiz, pp. T159-160 Test 16 |
Practice Master 21 Resource Book, pp. 21, 124; Study Guide, pp. 57-58 |
M. II |
| · Apply the definition of a parallelogram and the theorems about properties of a parallelogram. | 4.7 | Sec. 5-1: "Properties of Parallelograms", pp. 167-171; Chalkboard Ex. p. T168; Class Ex. p. 168; Guided Practice, pp. T169-170; Cooperative Learning, p. T93; Exploring Activity, p. 165c; Group Activities, p. T168, T171 | Teacher Observation; Self-Test 1, p. 182; Chapter Review, pp. 197-198; Chapter Test, p. 199; Alternate Test, p. T16; Teacher-made Test; Multi-Cultural: See "Cultural Note", p. T166 | Resource Book, p. 61 Study Guide, pp. 59-60 |
M. II |
| · Prove that certain quadrilaterals are parallelograms. | 4.7 | Sec. 5-2: "Ways to Prove that Quadrilaterals Are Parallelograms", pp. 172-176; Chalkboard Ex. p. T173; Class Ex. p. 173; Guided Practice, p. T174; Cooperative Learning, p. T94 | Practice Master 25 Study Guide, pp. 61-62 |
M. II | |
| · Apply theorems about parallel lines; apply the mid-point theorems for triangles. | 4.7 | Sec. 5-3: "Theorems Involving Parallel Lines", pp. 177-182; Chalkboard Ex. p. T178; Class Ex. p. 179; Guided Practice, pp. T180-181 |
Test 18 Quick Quiz, pp. T182-183 |
Practice Master 26 Resource Book, pp. 24-25, 126; Study Guide, pp. 63-64 |
M. II |
| · Apply the definitions and identify the special properties of a rectangle, rhombus, and square, and determine when a parallelogram is one of these figures. | 4.7 | Sec. 5-4: "Special Parallelograms", pp. 184-189; Chalkboard Ex. p. T185; Class Ex. p. 186; Guided Practice, pp. T187-188 | Self-Test 2, p. 195 | Practice Master 27 Resource Book, p. 262 Study Guide, pp. 65-66 |
M. II |
| · Apply the definitions and identify the properties of a trapezoid and an isosceles trapezoid. | 4.7 | Sec. 5-5: "Trapezoids", pp. 190-194; Chalkboard Ex. p. T191; Class Ex. p. 192; Guided Practice, pp. T192-193 |
Test 19 Quick Quiz, pp. T195-196 |
Practice Master 28 Resource Book, pp. 26-27, 127, 263; Study Guide, pp. 67-68 Computer Activity 11 |
M. II |
| · Apply properties of inequality to positive numbers, lengths of segments, and measures of angles; state and use the Exterior Angle Inequality Theorem. | 4.7 | Sec. 6-1: "Inequalities", pp. 203-207; Chalkboard Ex. pp. T204-205; Class Ex. p. 205; Guided Practice, pp. T206-207; Cooperative Learning, p. T97 | Teacher Observation; Self-Test 1, p. 218; Chapter Review, pp. 235-236; Chapter Test, pp. 236-237; Alternate Test, p. T17; Teacher-made Test; Multi-Cultural: See "Cultural Note", p. T202 |
Study Guide, pp. 69-70
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M. II |
| · State the contrapositive and inverse of an if-then statement; understand the relationship between logically equivalent statements; draw correct conclusions from given statements. | 4.7 | Sec. 6-2: "Inverses and Contrapositives", pp. 208-212; Chalkboard Ex. p. T209; Class Ex. p. 210; Guided Practice, p. T211 | Practice Master 30 Study Guide, pp. 71-72 |
M. II | |
| · Write indirect proofs in paragraph form. | 4.7 | Sec. 6-3: "Indirect Proof", pp. 214-217; Chalkboard Ex. p. T215; Class Ex. pp. 215-216; Guided Practice, p. T216; Group Activity, p. T217; Exploring Activity, p. 201c |
Test 22 Quick Quiz, p. T218 |
Practice Master 31 Resource Book, pp. 33, 130; Study Guide, pp. 73-74 |
M. II |
| · State and apply the inequality theorems and corollaries for one triangle. | 4.7 | Sec. 6-4: "Inequalities for One Triangle", pp. 219-223; Chalkboard Ex. p. T220; Class Ex. pp. 221-222; Guided Practice, p. T222 | Self-Test 2, p. 233 | Practice Master 32 Study Guide, pp. 75-76 Computer Activity 12 |
M. II |
| · State and apply the inequality theorems for two triangles. | 4.7 | Sec. 6-5: "Inequalities for Two Triangles", pp. 228-232; Chalkboard Ex. p. T229; Class Ex. p. 230; Guided Practice, p. T231 | Test 23; Quick Quiz, p. T233; Multi-Cultural: See "Cultural Note", pp. 232, 234 | Practice Master 33 Resource Book, pp. 34, 131; Study Guide, pp. 77-78 |
M. II |
| · Express a ratio in simplest form. |
4.6 4.13 |
Sec. 7-1: "Ratio and Proportion", pp. 241-244; Chalkboard Ex. p. T242; Class Ex. p. 243; Guided Practice, p. T243 | Teacher Observation; Self-Test 1, p. 252; Chapter Review, pp. 277-278; Chapter Test, p. 279; Alternate Test, p. T18; Teacher-made Test; Multi-Cultural: See "Cultural Note", p. T240 | Study Guide, pp. 79-80 Computer Activity 13 |
M. II |
| · Solve for an unknown term in a given proportion, and express a given proportion in an equivalent form. |
4.6 4.13 |
Sec. 7-2: "Properties of Proportions", pp. 245-248; Chalkboard Ex. p. T246; Class Ex. p. 246; Guided Practice, p. T246-247 | Practice Master 37 Study Guide, pp. 81-82 |
M. II | |
| · State and apply the properties of similar polygons. | 4.7 | Sec. 7-3: "Similar Polygons", pp. 248-252; Chalkboard Ex. p. T250; Class Ex. p. 250; Guided Practice, p. T251; Group Activity, p. T251; Cooperative Learning, p. T103; Exploring Activity, p. 239c |
Test 25 Quick Quiz, pp. T252-253 |
Practice Master 38 Resource Book, pp. 37, 133; Study Guide, pp. 83-84; Overhead Visual 5 |
M. II S-9 |
| · Use the AA Similarity Postulate to prove triangles similar; use similar triangles to deduce information about segments or angles. | 4.7 | Sec. 7-4: "A Postulate for Similar Triangles", pp. 254-260; Chalkboard Ex. p. T255; Class Ex. p. 256; Guided Practice, pp. T256-257; Group Activities, p. T257, T259 |
Self-Test 2, p. 274 Multi-Cultural: See "Cultural Note", p. T258 |
Practice Master 39 Study Guide, pp. 85-86 Overhead Visual E Computer Activity 14 |
M. II |
| · Use the SAS and SSS Similarity Theorems to prove triangles similar. | 4.7 | Sec. 7-5: "Theorems for Similar Triangles", pp. 263-267; Chalkboard Ex. p. T264; Class Ex. pp. 264-265; Guided Practice, pp. T264-265; Group Activity, p. T267; Cooperative Learning, p. T104 | Test 26 | Practice Master 40 Resource Book, pp. 38, 134; Study Guide, pp. 87-88; Overhead Visual E |
M. II |
| · Apply the Triangle Proportionality Theorem and its corollary; state and apply the Triangle Angle-Bisector Theorem. | 4.7 | Sec. 7-6: "Proportional Lengths", pp. 269-273; Chalkboard Ex. p. T270; Class Ex. p. 271; Guided Practice, pp. T270-271 |
Test 27 Quick Quiz, pp. T274-275 Multi-Cultural: See "Cultural Note", p. T273 |
Practice Master 41 Resource Book, pp. 39, 135; Study Guide, pp. 89-90; Overhead Visual N |
M. II |
| · Determine the geometric mean between two numbers; state and apply the relationships that exist when the altitude is drawn to the hypotenuse of a right triangle. | 4.7 | Sec. 8-1: "Similarity in Right Triangles", pp. 285-290; Chalkboard Ex. pp. T286-287; Class Ex. pp. 287-288; Guided Practice, p. T288 | Teacher Observation; Self-Test 1, p. 304; Chapter Review, pp. 323-324; Chapter Test, pp. 324-325; Alternate Test, p. T19; Teacher-made Test; Multi-Cultural: See "Cultural Note", p. T284 | Study Guide, pp. 91-92 Computer Activity 15 |
M. II S-9 |
| · State and apply the Pythagorean Theorem. | 4.7 | Sec. 8-2: "The Pythagorean Theorem", pp. 290-294; Chalkboard Ex. p. T291; Class Ex. p. 291; Guided Practice, p. T292; Cooperative Learning, p. T107; Exploring Activity, p. 283c |
Test 31 Multi-Cultural: See "Cultural Note", p. T293 |
Practice Master 43 Resource Book, pp. 50, 140; Study Guide, pp. 93-94; Overhead Visuals F, N; Computer Activity 16 |
M. II S-9 |
| · State and apply the converse of the Pythagorean Theorem and related theorems about obtuse and acute triangles. | 4.7 | Sec. 8-3: "The Converse of the Pythagorean Theorem", pp. 295-298; Chalkboard Ex. p. T296; Class Ex. p. 296; Guided Practice, p. T297; Group Activity, p. T297 | Study Guide, pp. 95-96 |
M. II S-9 |
|
| · Determine the lengths of two sides of a 45o-45o -90o or 30o-60o-90o triangle when the length of the third side is known. | 4.7 | Sec. 8-4: "Special Right Triangles", pp. 300-303; Chalkboard Ex. p. T301; Class Ex. p. 301; Guided Practice, p. T302; Cooperative Learning, p. T109 |
Test 32 Quick Quiz, p. T304 |
Practice Master 44 Resource Book, pp. 51, 141; Study Guide, pp. 97-98 |
M. II S-9 |
| · Define the tangent ratio for an acute angle, and solve right triangle problems by using the tangent ratio. | 4.7 | Sec. 8-5: "The Tangent Ratio", pp. 305-310; Chalkboard Ex. p. T306; Class Ex. pp. 306-307; Guided Practice, p. T308; Exploring Activity, p. 283c | Self-Test 2, p. 320 | Study Guide, pp. 99-100, 105 |
M. II S-9 |
| · Define the sine and cosine ratios for an acute angle, and solve right triangle problems by using the sine and cosine ratios. | 4.7 | Sec. 8-6: "The Sine and Cosine Ratios", pp. 312-316; Chalkboard Ex. p. T313; Class Ex. pp. 313-314; Guided Practice, p. T314 | Practice Master 45 Study Guide, pp. 101-102, 106; Computer Activity 17 |
M. II S-9 |
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| · Solve right triangle problems by correct selection and use of the tangent, sine, and cosine ratios. | 4.7 | Sec. 8-7: "Applications of Right Triangle Trigonometry", pp. 317-320; Chalkboard Ex. p. T318; Class Ex. pp. 317-318; Guided Practice, p. T318 |
Test 33 Quick Quiz, p. T320 |
Practice Master 46 Resource Book, pp. 52, 142; Study Guide, pp. 103-104; Computer Activity 18 |
M. II
|
| · Define a circle, sphere, and terms related to them, and to recognize inscribed polygons and circumscribed circles. | 4.7 | Sec. 9-1: "Basic Terms", pp. 329-331; Chalkboard Ex. p. T330; Class Ex. p. 330; Guided Practice, p. T331 | Teacher Observation; Self-Test 1, p. 349; Chapter Review, pp. 369-370; Chapter Test, pp. 371; Alternate Test, p. T20; Teacher-made Test; Multi-Cultural: See "Cultural Note", p. T328 | Study Guide, pp. 107-108; Overhead Visual D | M. II |
| · Apply theorems that relate tangents and radii, and recognize circumscribed polygons and inscribed circles. | 4.7 | Sec. 9-2: "Tangents", pp. 333-337; Chalkboard Ex. p. T334; Class Ex. p. 335; Guided Practice, pp. T335-336; Cooperative Learning, p. T112-113 | Practice Master 50 Study Guide, pp. 109-110 |
M. II | |
| · Define and apply properties of arcs and central angles. | 4.7 | Sec. 9-3: "Arcs and Central Angles", pp. 339-343; Chalkboard Ex. p. T340; Class Ex. p. 341; Guided Practice, p. T341; Cooperative Learning, p. T113 | Study Guide, pp. 111-112 | M. II | |
| · Apply theorems about the chords of a circle. | 4.7 | Sec. 9-4: "Arcs and Chords", pp. 344-348; Chalkboard Ex. p. T345; Class Ex. p. 346; Guided Practice, pp. T346-347; Group Activity, p. T348 |
Test 35 Quick Quiz, pp. T348-349 |
Practice Master 51 Resource Book, pp. 55-56, 144; Study Guide, pp. 113-114; Computer Activity 19 |
M. II |
| · Solve problems and prove statements involving inscribed angles and angles formed by chords, secants, and tangents. | 4.7 | Sec. 9-5: "Inscribed Angles", pp. 349-356; Chalkboard Ex. p. T351; Class Ex. pp. 352-353; Guided Practice, p. T354 |
Self-Test 2, p. 367 Multi-Cultural: See "Cultural Note", p. T356 |
Practice Master 52 Study Guide, pp. 115-116 |
M. II |
| · Solve problems and prove statements involving angles formed by chords, secants, and tangents. | 4.7 | Sec. 9-6: "Other Angles", pp. 357-361; Chalkboard Ex. p. T358; Class Ex. pp. 358-359; Guided Practice, pp. T359-360; Cooperative Learning, p. T115; Exploring Activity, p. 327c | Practice Master 53 Study Guide, pp. 117-118 |
M. II | |
| · Solve problems involving lengths of chords, secants, and tangents segments. | 4.7 | Sec. 9-7: "Circles and Lengths of Segments", pp. 361-366; Chalkboard Ex. p. T362; Class Ex. pp. 363-364; Guided Practice, p. T364; Cooperative Learning, p. T116 |
Test 36 Quick Quiz, pp. T366-367 |
Practice Master 54 Resource Book, pp. 57-58, 145; Study Guide, pp. 119-120; Overhead Visual G; Computer Activity 20 |
M. II |
| · Understand what is meant by the area of a polygon, understand the area postulates, and know and use the formula for the area of a rectangle. | 4.7 | Sec. 11-1: "Areas of Rectangles", pp. 423-427; Chalkboard Ex. p. T424; Class Ex. p. 425; Guided Practice, p. T426 | Teacher Observation; Self-Test 1, p. 444; Chapter Review, p. 470; Chapter Test, p. 471; Alternate Test, p. T22; Teacher-made Test; Multi-Cultural: See "Cultural Note", p. T422 | Study Guide, pp. 137-138; Computer Activity 22 |
M. II S-9 |
| · Know and use the formulas for the areas of parallelograms, triangles, and rhombuses. | 4.7 | Sec. 11-2: "Areas of Parallelograms, Triangles, and Rhombuses", pp. 429-433; Chalkboard Ex. p. T430; Class Ex. p. 430-431; Guided Practice, p. T431 | Multi-Cultural: See "Cultural Note", p. T434 | Practice Master 64 Study Guide, pp. 139-140; Overhead Visual H |
M. II S-9 |
| · Know and use the formula for the area of a trapezoid. | 4.7 | Sec. 11-3: "Areas of Trapezoids", pp. 435-438; Chalkboard Ex. p. T436; Class Ex. pp. 435-436; Guided Practice, p. T437 | Practice Master 65 Study Guide, pp. 141-142; Overhead Visuals G, H |
M. II S-9 |
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| · Know and use the formula for the areas of regular polygons. | 4.7 | Sec. 11-4: "Areas of Regular Polygons", pp. 440-444; Chalkboard Ex. p. T441; Class Ex. pp. 442-443; Guided Practice, p. T442; Cooperative Learning, p. T124 |
Test 43 Quick Quiz, p. T444 |
Practice Master 66 Resource Book, pp. 73, 152, 264; Study Guide, pp. 143-144 |
M. II S-9 |
| · Know and use the formulas for the circumferences and areas of circles that are derived from the perimeter and area formulas for regular polygons. | 4.7 | Sec. 11-5: "Circumferences and Areas of Circles", pp. 445-450; Chalkboard Ex. p. T447; Class Ex. pp. 447-448; Guided Practice, p. T449; Group Activity, p. T450 |
Self-Test 2, p. 465 Multi-Cultural: See "Cultural Note", p. T451 |
Practice Master 67 Study Guide, pp. 145-146; Computer Activity 23 |
M. II S-9 |
| · Know and use the formulas for arc lengths and the areas of sectors of a circle. | 4.7 | Sec. 11-6: "Arc Lengths and Areas of Sectors", pp. 452-455; Chalkboard Ex. p. T453; Class Ex. p. 453; Guided Practice, p. T454; Group Activity, p. T454; Cooperative Learning, pp. T125-126 | Test 44 | Practice Master 68 Resource Book, pp. 74, 153; Study Guide, pp. 147-148 |
M. II S-9 |
| · Find the ratio of the areas of two triangles, and understand and apply the relationship between scale factors, perimeters, and areas of similar figures. | 4.7 | Sec. 11-7: "Ratios of Areas", pp. 456-460; Chalkboard Ex. p. T457; Class Ex. p. 458; Guided Practice, p. T459 | Practice Master 69 Study Guide, pp. 149-150 |
M. II | |
| · Use areas to solve problems involving geometric probability. | 4.7 | Sec. 11-8: "Geometric Probability", pp. 461-464; Chalkboard Ex. p. T462; Class Ex. p. 462; Guided Practice, p. T463; Cooperative Learning, pp. T126-127; Exploring Activity, p. 421c |
Test 45 Quick Quiz, pp. T464-465 |
Practice Master 70 Resource Book, pp. 75, 154; Study Guide, pp. 151-152; Computer Activity 24 |
M. II |
| · Identify the parts of prisms, and find the lateral areas, total areas, and volumes of right prisms | 4.7 | Sec. 12-1: "Prisms", pp. 475-480; Chalkboard Ex. p. T476; Class Ex. p. 477; Guided Practice, pp. T478-479; Cooperative Learning, p. T128 | Teacher Observation; Self-Test 1, p. 496; Chapter Review, pp. 518-519; Chapter Test, p. 519; Alternate Test, p. T23; Teacher-made Test; Multi-Cultural: See "Cultural Note", p. T474 | Study Guide, pp. 153-154 |
M. II S-9 |
| · Identify the parts of pyramids, and find the lateral areas, total areas, and volumes of regular pyramids. | 4.7 | Sec. 12-2: "Pyramids", pp. 482-487; Chalkboard Ex. p. T483; Class Ex. p. 484; Guided Practice, p. T485 | Multi-Cultural: See "Cultural Note", p. T488-489 | Practice Master 72 Study Guide, pp. 155-156; Computer Activity 25 |
M. II S-9 |
| · Find the lateral areas, total areas, and volumes of right cylinders and right cones. | 4.7 | Sec. 12-3: "Cylinders and Cones", pp. 490-495; Chalkboard Ex. p. T491; Class Ex. pp. 491-492; Guided Practice, p. T492; Cooperative Learning, pp. T129-130; Exploring Activity, p. 473c |
Test 47 Quick Quiz, p. T496 |
Practice Master 73 Resource Book, pp. 78, 156; Study Guide, pp. 157-158; Overhead Visual 8 |
M. II S-9 |
| · Find the area and the volume of a sphere. | 4.7 | Sec. 12-4: "Spheres", pp. 497-502; Chalkboard Ex. p. T499; Class Ex. p. 500; Guided Practice, p. T501 |
Self-Test 2, p. 513
|
Practice Master 74 Study Guide, pp. 159-160; Overhead Visuals, I, J, K |
M. II S-9 |
| · State and apply the properties of similar solids. | 4.7 | Sec. 12-5: "Areas and Volumes of Similar Solids", pp. 508-513; Chalkboard Ex. p. T509; Class Ex. p. 510; Guided Practice, p. T511 |
Test 48 Quick Quiz, p. T513 Multi-Cultural: See "Cultural Note", p. T516 |
Practice Master 75 Resource Book, pp. 80, 157; Study Guide, pp. 161-162; Overhead Visual E; Computer Activity 26 |
M. II S-9 |
| · State and apply the distance formula and the general equation for a circle. |
4.7 4.13 |
Sec. 13-1: "The Distance Formula", pp. 523-528; Chalkboard Ex. p. T524; Class Ex. pp. 525-526; Guided Practice, p. T526; Exploring Activity, p. 521c | Teacher Observation; Self-Test 1, p. 547; Chapter Review, p. 567; Chapter Test, p. 568; Alternate Test, p. T24; Teacher-made Test; Multi-Cultural: See "Cultural Note", pp. T522, T525 | Practice Master 79 Study Guide, pp. 163-164; Computer Activities 27-28 |
M. II S-9 |
| · State and apply the slope formula. |
4.7 4.13 |
Sec. 13-2: "Slope of a Line", pp. 529-534; Chalkboard Ex. p. T530; Class Ex. pp. 531-532; Guided Practice, p. T522 | Study Guide, pp. 165-166; Overhead Visual L |
M. II S-9 |
|
| · Determine whether two lines are parallel, perpendicular, or neither. |
4.7 4.13 |
Sec. 13-3: "Parallel and Perpendicular Lines", pp. 535-538; Chalkboard Ex. p. T536; Class Ex. p. 536; Guided Practice, p. T537 | Test 51 | Practice Master 80 Resource Bk, pp. 86-87, 161; Study Gd, pp. 167-168; Computer Act. 29 |
M. II S-9 |
| · Understand the basic properties of vectors. | 4.13 | Sec. 13-4: "Vectors", pp. 539-543; Chalkboard Ex. p. T540; Class Ex. p. 541; Guided Pract, p. T541; Group Act., p. T542; Cooperative Learning, p. T134 |
Study Guide, pp. 169-170
|
M. II S-9 |
|
| · State and apply the midpoint formula. | 4.7 | Sec. 13-5: "The Midpoint Formula", pp. 544-547; Chalkboard Ex. p. T545; Class Ex. p. 545; Guided Practice, p. T545 |
Test 52 Quick Quiz, p. T547 |
Practice Master 81 Res. Bk, pp. 88-89, 162; Study Gd, pp. 171-172; Overhead Visual F; Computer Act. 30 |
M. II S-9 |
| · Identify the slope and y-intercept of the line specified by a given equation, draw its graph, and determine the intersection of two lines. | 4.13 | Sec. 13-6: "Graphing Linear Equations", pp. 548-552; Chalkboard Ex. p. T549; Class Ex. p. 550; Guided Practice, pp. T550-551 | Self-Test 2, p. 563 | Study Guide, pp. 173-174 |
M. II S-9 |
| · Write the equation of a line when given either one point and the slope of the line, or two points on the line. | 4.13 | Sec. 13-7: "Writing Linear Equations", pp. 553-536; Chalkboard Ex. p. T554; Class Ex. p. 554; Guided Practice, p. T555 | Test 53 | Practice Master 82 Resource Book, pp. 90-91, 163; Study Guide, pp. 175-176; Overhead Visual L; Computer Activities 31, 32 |
M. II S-9 |
| · Given a polygon, choose a convenient placement of coordinate axes and assign appropriate coordinates. | 4.7 | Sec. 13-8: "Organizing Coordinate Proofs", pp. 556-559; Chalkboard Ex. p. T557; Class Ex. p. 558; Guided Practice, p. T558 | Study Guide, pp. 177-178 |
M. II S-9 |
|
| · Prove statements by using coordinate geometry methods. | 4.7 | Sec. 13-9: "Coordinate Geometry Proofs", pp. 560-563; Chalkboard Ex. p. T561; Class Ex. p. 561; Guided Practice, p. T563; Cooperative Learning, p. T137 |
Test 54 Quick Quiz, pp. T563-564 |
Practice Master 83 Resource Book, pp. 92-93, 164; Study Guide, pp. 179-180; Overhead Visual F |
M. II S-9 |
| · Recognize and use the terms image, pre-image, mapping, one-to-one mapping, transformation, isometry, and congruence mapping; recognize the properties of the basic mappings. | 4.7 | Sec. 14-1: "Mappings and Functions", pp. 571-576; Chalkboard Ex. p. T572; Class Ex. p. 574; Guided Practice, p. T574 | Teacher Observation; Self-Test 1, p. 597; Chapter Review, p. 619; Chapter Test, p. 620; Alternate Test, p. T25; Teacher-made Test; Multi-Cultural: See "Cultural Note", p. T570 | Practice Master 85 Study Guide, pp. 181-182; Computer Activity 34 |
M. II S-9 |
| · Locate images of figures by reflection. | 4.7 | Sec. 14-2: "Reflections", pp. 577-582; Chalkboard Ex. p. T578; Class Ex. p. 579; Guided Practice, p. T580 | Study Guide, pp. 183-184; Overhead Visual M |
M. II
|
|
| · Locate images of figures by translation and glide reflection. | 4.7 | Sec. 14-3: "Translations and Glide Reflections", pp. 583-587; Chalkboard Ex. p. T584; Class Ex. p. 585; Guided Practice, p. T586 | Test 56 | Practice Master 86 Resource Book, pp. 96, 166; Study Guide, pp. 185-186; Overhead Visual M |
M. II S-9 |
| · Locate images of figures by rotation. | 4.7 | Sec. 14-4: "Rotations", pp. 588-592; Chalkboard Ex. p. T589; Class Ex. p. 589; Guided Practice, p. T590; Exploring Activity, p. 569c | Study Guide, pp. 187-188; Overhead Visuals L, M, N |
M. II S-9 |
|
| · Locate images of figures by dilation. | 4.7 | Sec. 14-5: "Dilations", pp. 592-597; Chalkboard Ex. p. T593; Class Ex. p. 595; Guided Practice, p. T596 |
Test 57 Quick Quiz, pp. T597-598 |
Practice Master 87 Resource Book, pp. 97, 167; Study Guide, pp. 189-190; Computer Activity 35 |
M. II S-9 |
| · Locate images of figures by composites of mappings. | 4.7 | Sec. 14-6: "Composites of Mappings", pp. 599-605; Chalkboard Ex. p. T600; Class Ex. pp. 602-603; Guided Practice, p. T603; Cooperative Learning, p. T142 | Self-Test 2, p. 615 | Study Guide, pp. 191-192; Computer Activity 36 |
M. II S-9 |
| · Recognize and use the terms identity and inverse in relation to mappings. |
4.7
|
Sec. 14-7: "Inverses and the Identity", pp. 605-608; Chalkboard Ex. p. T606; Class Ex. p. 607; Guided Practice, p. T607 | Practice Master 88 Study Guide, pp. 193-194 |
M. II S-9 |
|
| · Describe the symmetry of figures and solids. | 4.7 | Sec. 14-8: "Symmetry in the Plane and in Space", pp. 609-614; Chalkboard Ex. p. T610; Class Ex. p. 611-612; Guided Practice, pp. T612-613; Cooperative Learning, p. T143 |
Test 58 Quick Quiz, pp. T615-616 |
Practice Master 89 Resource Book, pp. 98, 168; Study Guide, pp. 195-196; Overhead Visual M |
M. II S-9 |
NOTE SPECIAL EDUCATION MODIFICATIONS SUGGESTIONS. SEE IEP FOR SPECIFIC ACCOMMODATIONS.
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