KEANSBURG SCHOOL DISTRICT€¦ · Range • Calculate the mean, median, and mode of data • Find the range of a set of data . Histograms and Stem-and-leaf Plots • Use and create

KEANSBURG SCHOOL DISTRICT

KEANSBURG HIGH SCHOOL Mathematics Department

HSPA 10 Curriculum

September 2007

Written by: Karen Egan Mathematics Supervisor: Ann Gagliardi

KEANSBURG SCHOOL DISTRICT Keansburg High School

Mathematics Curriculum – HSPA Math 10

Mathematics Program: MathMatters 2, Glencoe-McGraw Hill, 2006 Timeline

Objectives/Goals/Instructional Strategies

NJCCCS

Materials/Resources

Technology

Assessment/Evaluation

This curriculum is based on a one semester block schedule of 90 days.

September 2007 2

7 days

Sample and Display Data (Chapter 1 pp. 4-47) Surveys and Sampling Methods

• Identify sampling methods • Recognize biased surveys

Measures of Central Tendency and Range

• Calculate the mean, median, and mode of data

• Find the range of a set of data Histograms and Stem-and-leaf Plots

• Use and create histograms to solve problems

• Use and create stem-and-leaf plots to solve problems

Problem Solving Skills: Coefficient of Correlation

• Solve a problem using coefficient of correlation

• Guess and check Quartiles and Percentiles

• Identify quartiles and calculate percentiles

• Create a box-and-whisker plot

4.1.B2,3 4.4.A1-5 4.5.A1-5, 4.5.B1-4 4.5.C1,3,4 4.5.D2 4.5.E1-3 4.5.F3,4

Chapter Prerequisite Skills pp. 4-5 Study Skills Activities 1-2, 3, 4-5 Lesson Warm-Up Transparencies, WU #1-3 Teaching Transparencies, RF 1-3, TK 1-3, 9 Technology Activities 1-2, 1-6, 1-7 Quick Assessment, ATE pp. 3, 8, 12, 18, 22, 27, 30, 36, 40 Teaching Tips pp. 4, 6, 12, 15, 16, 24, 26, 28, 38 Extend the Lesson pp. 7, 11, 21, 27, 29, 35, 39 Mixed Review Exercises pp. 9, 13, 19, 23, 27, 31, 37, 41

Graphing and Scientific Calculators Overhead Calculator Teacher Works CD-ROM ExamView Pro CD-ROM Mind Jogger Video Internet Resources mathmatters2.com/extra_examples mathmatters2.com/self_ check_quiz mathmatters2.com/standardized_test mathmatters2.com/chapter_assessment

Formative Assessments Quizzes, CRM pp Mid-Chapter Test, CRM Homework Summative Assessments Interval Assessments (Multiple Choice and Open Ended Questions) Chapter Assessment Standardized Test Practice Teacher Generated Tests Chapter Tests





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September 2007 3

Sample and Display Data (Chapter 1 pp. 4-47) Misleading Graphs and Statistics

• Recognize how a graph can be misleading

• Identify the misleading use of the word ‘average”

Use Matrices to Organize Data

• Organize and display data in matrices

• Perform basic operations using matrices

Open-Ended Assessment pp. 31, 37, 44 Reteaching Activities, CRM pp. 1, 4, 7, 10, 13, 16, 19, 22 Extra Practice, CRM pp. 2, 5, 8, 11, 14, 17, 20, 23 Enrichment, CRM pp. 3, 6, 9, 12, 15, 18, 21, 24 Assessment, CRM pp. 27-33 Text pp. 42-44, 45 Cumulative Review pp. 15, 25, 33





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September 2007 4

7 days

Foundations of Algebra (Chapter 2 pp. 48-99) Real numbers

• Graph sets of numbers on a number line

• Evaluate expressions with absolute value

Order of operations

• Evaluate numerical expressions using order of operations

Write variable expressions

• Write variable expressions to represent word phrases

• Write word phrases to represent variable expressions

Add and subtract Variable Expressions

• Simplify variables expressions • Evaluate variable expressions

Multiply and Divide Variable Expressions

• Simplify variables expressions • Evaluate variable expressions

4.1.A1-3 4.1.B1,2,4 4.3.A1 4.3.D1 4.5.A1-5 4.5.B1-4 4.5.C1,3,4 4.5.D2 4.5.F2,3,4

Chapter Prerequisite Skills pp. 50-51 Study Skills Activities 6-7, 8-9, 16 Lesson Warm-Up Transparencies, WU # 4-8 Teaching Transparencies, RF 1, 8-10, TK 4-6 Technology Activities 2-2, 2-7, 2-8, 2-9 Quick Assessment, ATE pp. 51, 54, 58, 64, 68, 74, 78, 84, 88, 93 Teaching Tips pp. 50, 52, 53, 56, 60, 63, 66, 67, 68, 70, 72, 76, 80, 81, 82, 86, 90, 91, 95 Extend the Lesson pp. 51, 57, 79


Formative Assessments Quizzes, CRM pp Mid-Chapter Test, CRM Homework Summative Assessments Interval Assessments (Multiple Choice and Open Ended Questions) Chapter Assessment Standardized Test Practice Teacher Generated Tests Chapter Test





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September 2007 5

Foundations of Algebra (Chapter 2 pp. 48-99) Simplify Variables Expressions

• Add, subtract, multiply and divide to simplify variable expressions

Properties of Exponents

• Choose appropriate units of measure

• Evaluate expressions Zero and Negative Exponents

• Write numbers using zero and negative integers as exponents

• Write numbers in scientific notation

Problem Solving Skills: Find a Pattern

• Describe and extend a sequences to solve problems

Mixed Review Exercises pp. 55, 59, 65, 69, 75, 79, 85, 89, 93 Open-Ended Assessment pp. 49, 59, 75, 89, 96, 97 Reteaching Activities, CRM pp. 35, 38, 41, 44, 47, 50, 53, 56, 59 Extra Practice, CRM pp. 36, 39, 42, 45, 48, 51, 54, 57, 60 Enrichment, CRM pp. 37, 40, 43, 46, 49, 52, 55, 58, 61 Assessment, CRM pp. 65-71 Text pp. 94-96, 97 Cumulative Review pp. 61, 71, 81, 91





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September 2007 6

7 days

Equations and Inequalities (Chapter 3 pp. 100-145) Equations and Formulas

• Determine if a number is a solution of an equation

• Solve an equation or formula One-Step Equations

• Solve one-step equations • Solve formulas for a given

variable Problem Solving Skills: Model Algebra

• Use algebra to model and solve a problem

• Use a picture, diagram, or model to solve a problem

Equations with Two or More Operations

• Solve two-step equations and formulas

Proportions

• Write and solve proportions

4.1.A1-3 4.1.B1 4.3.B1 4.3.C1 4.3.D2 4.5.A1-5 4.5.B1-4 4.5.C3,4,6 4.5.E1-3 4.5.F2-4

Chapter Prerequisite Skills pp. 102-103 Study Skills Activities 17-18, 25, 26 Lesson Warm-Up Transparencies, WU #9-14 Teaching Transparencies, RF-1, 11-14, TK-4, 7-8 Technology Activities 3-1, 3-4, 3-5, 3-8 Quick Assessment, ATE pp. 103, 106, 110, 115, 124, 128, 134, 138 Teaching Tips pp. 102, 103, 105, 112, 113, 120, 121, 122, 124, 126, 127, 130 Extend the Lesson pp. 106, 107, 117, 132, 138







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September 2007 7

Equations and Inequalities (Chapter 3 pp. 100-145) Graph inequalities on a Number Line

• Determine if a number is a solution of an inequity

• Graph the solution of an inequality on a number line

Solve inequalities

• Solve and graph inequalities on a number line

• Solve problems involving inequalities

Equations with Squares and Square Roots

• Solve equations involving squares

• Solve equations involving square roots

Mixed Review Exercises pp. 107, 111, 115, 119, 125, 129, 135, 139 Open-Ended Assessment pp. 101, 107, 119, 139, 142, 143 Reteaching Activities, CRM pp. 73, 76, 79, 82, 85, 88, 91, 94 Extra Practice, CRM pp. 74, 77, 80, 83, 86, 89, 92, 95 Enrichment, CRM pp. 75, 78, 81, 84, 87, 90, 93, 96 Assessment, CRM pp. Text pp. 99-105 Cumulative Review pp. 113, 121, 131





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September 2007 8

7 days

Probability (Chapter 4 pp. 146-187) Experiments and Probabilities

• Use experiments to collect data

• Use data to find experimental probabilities

Problem Solving Skills: Simulations

• Solve a problem using simulations

• Solve a problem by acting it out

Sample Spaces and Theoretical Probability

• Determine sample spaces using various methods

• Find theoretical probabilities Probability of Compound Events

• Find probabilities of dependent events

• Find the probability of independents events

Independent and Dependent Events

• Find probabilities of dependent events

• Find the probabilities of independent events

4.4.A1,3 4.4.B3-5 4.4.C1-3 4.5.A1-5 4.5.B1-4 4.5.C3,4 4.5.D2,4 4.5.E1,2

Chapter Prerequisite Skills pp. 148-149 Study Skills Activities 10, 13, 19 Lesson Warm-Up Transparencies, WU #15, 16, 17, 18 Teaching Transparencies, RF-17, 18, 19, 20 Technology Activities 4-2, 4-6, 4-7 Quick Assessment, ATE pp. 149, 152, 155, 160, 164, 170, 180 Teaching Tips pp. 151, 158, 161, 166, 170, 172, 173, 176, 178, 182 Extend the Lesson pp. 163, 167, 169, 179, 180, 181







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September 2007 9

Probability (Chapter 4 pp. 146-187) Permutations of a Set

• Find the number of permutations of a set

Combinations of a Set

• Find the number if combinations of a set

Mixed Review Exercises pp. 153, 155, 161, 165, 171, 175, 181 Open-Ended Assessment pp. 147, 161, 171, 181, 184, 185 Reteaching Activities, CRM pp. 107, 110, 113, 116, 119, 122, 125 Extra Practice, CRM pp. 108, 111, 114, 117, 120, 123, 126 Enrichment, CRM pp. 109, 112, 115, 118, 121, 124, 127 Assessment, CRM pp. 131-137 Text pp. 182-185 Cumulative Review pp. 157, 167, 177





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September 2007 10

8 days

Logic and Geometry (Chapter 5 pp. 188-239 Elements of Geometry

• Identify fundamental geometric concepts

• Identify and use basic geometric postulates

Angles and perpendicular lines

• Identify and use perpendicular lines

• Identify and use angle relationships

Parallel lines and transversals

• Identify angles formed by parallel lines and transversals

• Identify and use properties of parallel lines

Properties of Triangles

• Classify triangles according to their sides and angles

• Identify and use properties of parallelograms

Congruent triangles

• Use postulates to identify congruent triangles

4.2.A1,3,4 4.2.C1 4.2E1 4.5.A1-5 4.5.B1-4 4.5.C1-6 4.5.D1-6 4.5.E1-3

Chapter Prerequisite Skills pp. 190-191 Study Skills Activities 11, 14, 27 Lesson Warm-Up Transparencies, WU #19-22 Teaching Transparencies, RF-1, 21, 22, 23, 25, 26, 27, 28, 29, 30 , TK Technology Activities 5-1, 5-4, 5-7 Quick Assessment, ATE pp. 191, 194, 198, 204, 208, 214, 218, 224, 228, 233 Teaching Tips pp. 190, 193, 196, 200, 201, 207, 210, 211, 213, 217, 220, 221, 230, 231, 235







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September 2007 11

Logic and Geometry (Chapter 5 pp. 188-239

Quadrilaterals and Parallelograms

• Classify different types of quadrilaterals

• Identify and use properties of parallelograms

Diagonals and Angles of Polygons

• Classify polygons according to their sides

• Find the sum of the angle measures of polygons

Properties of Circles

• Understand relationships among parts of a circle

• Use a picture, diagram, or model

Problem Solving Skills: Circle Graphs

• Solve a problem using a circle graph

• Use a picture, diagram, or model

Extend the Lesson pp. 192, 202, 206, 209, 214, 216, 219, 223, 226, 227, 228 Mixed Review Exercises pp. 195, 199, 205, 209, 215, 219, 225, 229, 233 Open-Ended Assessment pp. 189, 195, 209, 229, 236, 237 Reteaching Activities, CRM pp. 139, 142, 145, 148, 151, 154, 157, 160, 163 Extra Practice, CRM pp. 140, 143, 146, 149, 152, 155, 158, 161, 164 Enrichment, CRM pp. 141, 144, 147, 150, 153, 156, 159, 162, 165 Assessment, CRM pp. 169-175 Text pp. 234-237 Cumulative Review pp. 201, 211, 221, 231





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September 2007 12

8 days

Graphing functions (Chapter 6 pp. 240-291) Distance in the Coordinate Plane

• Use the distance formula to find the distance between two points

• Use the midpoint formula Slope of a line

• Find the slope of a line • Identify horizontal and vertical

lines Write and Graph Linear Equations

• Write equations of lines using slope, intercepts, and points

• Graph a line given the equations

Write and graph linear Inequalities

• Write linear inequalities in two variables

• Graph linear inequalities in two variables on the coordinate plane

Linear and Nonlinear Functions

• Graph linear functions • Identify the domain and range

of a function

4.2.C1 4.3.A2,3 4.3.B1-4 4.3.C1,2 4.3.D2 4.5.A1-5 4.5.B1-4 4.5.C1-6 4.5.D1-6 4.5.E1-3

Chapter Prerequisite Skills pp. 242-243 Study Skills Activities 12, 20, 24 Lesson Warm-Up Transparencies, WU #23-27 Teaching Transparencies, RF-1, 31-36 TK-3, 9, 12, 13 Technology Activities 6-1, 6-2, 6-3, 6-6 Quick Assessment, ATE pp. 243, 246, 250, 256, 260, 266, 270, 275, 278, 284 Teaching Tips pp. 242, 243, 248, 254, 258, 259, 265, 280, 281, 282 Extend the Lesson pp. 244, 245, 255, 276, 277, 284, 285







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September 2007 13

Graphing functions (Chapter 6 pp. 240-291) Problem Solving Skills: Pattern and Functions

• Use a function table to recognize a function rule

Direct Variation

• Solve problems involving direct variation functions

• Solve problems involving direct square variation functions

Inverse Variation

• Solve problems involving inverse variation functions

• Solve problems involving inverse square variation functions

Mixed Review Exercises pp. 247, 251, 257, 261, 267, 271, 275, 279, 285 Open-Ended Assessment pp. 241, 247, 257, 261, 271, 279, 285, 288, 289 Reteaching Activities, CRM pp. 177, 180, 183, 186, 189, 192, 195, 198, 201 Extra Practice, CRM pp. 178, 181, 184, 187, 190, 193, 196, 199, 202 Enrichment, CRM pp. 179, 182, 185, 188, 191, 194, 197, 200, 203 Assessment, CRM pp. Text pp. 207-213 Cumulative Review pp. 253, 263, 273, 281





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September 2007 14

7 days

Coordinate Graphing and Transformations (Chapter 7 pp. 292-329) Translations in the Coordinate Plane

• Describe and graph translation images on a coordinate plane

Reflections in the Coordinate Plane

• Graph reflection images on a coordinate plane

Rotations in the Coordinate Plane

• Graph rotated images in the coordinate plane

• Identify centers, angles, and directions of rotations

Line Symmetry and Rotational Symmetry

• Identify lines of symmetry • Identify order of rotational

symmetry Dilations in the Coordinate Plane

• Draw dilation images on a coordinate plane

• Determine the scale factor of dilations

4.2.A3 4.2.B1-4 4.3.B3,4 4.5.A1-4 4.5.B1-4 4.5.C1-4,6 4.5.D1-6 4.5.E1-3 4.5.F4,5

Chapter Prerequisite Skills pp. 294-295 Study Skills Activities 15, 21 Lesson Warm-Up Transparencies, WU #28-30 Teaching Transparencies, RF-1, 37-42, TK-9, 12, 15 Technology Activities 7-1, 7-2, 7-3, 7-5 Quick Assessment, ATE pp. 295,298, 302, 308, 312, 318, 321 Teaching Tips pp. 294, 296, 311 Extend the Lesson pp. 297, 300, 301, 306, 307, 310, 311, 312 Mixed Review Exercises pp. 299, 303, 309, 313, 319, 321







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September 2007 15

Coordinate Graphing and Transformations (Chapter 7 pp. 292-329) Problem Solving Skills: Tessellations

• Solve a problem using tessellations

• Solve a problem by looking for a pattern

Open-Ended Assessment pp. 293, 299, 313, 319, 326, 327 Reteaching Activities, CRM pp. 215, 218, 221, 224, 227, 230 Extra Practice, CRM pp. 216, 219, 222, 225, 228, 231 Enrichment, CRM pp. 217, 220, 223, 226, 229, 232 Assessment, CRM pp. 235-241 Text pp. 324-327 Cumulative Review pp. 305, 315, 323





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September 2007 16

7 days

Systems of Equations and Inequalities (Chapter 8 pp. 330-371) Parallel and Perpendicular Lines

• Use slope to determine if two lines are parallel or perpendicular

• Write equations of parallel and perpendicular lines

Solve Systems of Equations Graphically

• State if an ordered pair is a solution of a system of equations

• Solve systems of linear equations graphically

Solve Systems of Equations by Subtracting

• Solve systems of equations using equations

Solve Systems by Adding, Subtracting, and Multiplying

• Solve systems of equations by adding or subtracting

• Solve systems of equations by adding and multiplying

4.3.A3 4.3.B1-3 4.3.C1,2 4.3.D1-3 4.5.A1-5 4.5.B1-4 4.5.C1-5, 6 4.5.D1-6 4.5.E1-3

Chapter Prerequisite Skills pp. 332-333 Study Skills Activities 28-29 Lesson Warm-Up Transparencies, WU #31-34 Teaching Transparencies, RF-1, 35, TK-9, 12, 14 Technology Activities 8-2, 8-5 Quick Assessment, ATE pp. 333, 336, 340, 346, 350, 356, 359, 364 Teaching Tips pp. 334, 335, 338, 339, 342, 344, 345, 348, 349, 353, 354362, 367 Extend the Lesson pp. 336, 346, 350, 355, 363







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September 2007 17

Systems of Equations and Inequalities (Chapter 8 pp. 330-371) Matrices and Determinates

• Find the determinant of a 2 x 2 matrix

• Solve systems of equations using the method of determinants

Problem solving Skills: Directed Graphs

• Solve a problem using a directed graph

• Use a picture, diagram, or model to solve a problem

Systems of Inequalities

• Write a system of linear inequalities for a given graph

• Graph a solution set of system of linear inequalities

Mixed Review Exercises pp. 337, 341, 347, 351, 357, 359, 365 Open-Ended Assessment pp. 331, 347, 351, 357, 368, 369 Reteaching Activities, CRM pp. 243, 246, 249, 252, 255, 258, 261 Extra Practice, CRM pp. 244, 247, 250, 253, 256, 259, 262 Enrichment, CRM pp. 245, 248, 251, 254, 257, 260, 263 Assessment, CRM pp. 267-273 Text pp. 366-369 Cumulative Review pp. 343, 353, 361





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September 2007 18

8 days

Polynomials (Chapter 9 pp. 372-417) Add and Subtract Polynomials

• Write polynomials in standard form

• Add and subtract polynomials Multiply Monomial

• Use the rules of exponents to multiply monomials

Divide a Monomial

• Divide monomials and polynomials by monomials

Multiply a Polynomial by a Monomial

• Multiply polynomials by monomials

Multiply Binomials

• Multiply binomials Problem Solving Skills: Work Backwards

• Solve polynomials by working backwards

4.1.B1,2,4 4.3.D1,2 4.5.A1-5 4.5.C1-4,6 4.5.E1-3

Chapter Prerequisite Skills pp. 374-375 Study Skills Activities 22, 30, 31 Lesson Warm-Up Transparencies, WU #35-38 Teaching Transparencies, RF-1, 46, 47 TK-4-6, 9, 16 Technology Activities 9-1, 9-7 Quick Assessment, ATE pp. 375, 378, 382, 388, 392, 398, 401, 406, 410 Teaching Tips pp. 3374, 378, 385, 387, 388, 391, 394, 403, 404, 405, 415 Extend the Lesson pp. 375, 376, 380, 382, 395, 398, 409 Mixed Review Exercises pp. 379, 383, 389, 393, 399, 401, 407, 411







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September 2007 19

Polynomials (Chapter 9 pp. 372-417) Factor using Greatest Common Factor (GCF)

• Factor polynomials using the Greatest Common Factor (GCF)

Perfect Squares and Difference of Squares

• Factor perfect square trinomials

• Factor a difference of perfect squares

Open-Ended Assessment pp. 373, 383, 393, 411, 414, 415 Reteaching Activities, CRM pp. 275, 278, 281, 284, 287, 290, 293, 296 Extra Practice, CRM pp. 276, 279, 282, 285, 288, 291, 294, 297 Enrichment, CRM pp. 277, 280, 283, 286, 289, 292, 295, 298 Assessment, CRM pp. 301-307 Text pp. 412-415 Cumulative Review pp. 385, 395, 403





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September 2007 20

8 days

Three-Dimensional Geometry (Chapter 10 pp. 418-469) Visualize and Represent Solids

• Identify properties of three-dimensional figures

• Visualize three dimensional geometric figures

Nets and Surface Area

• Draw nets to find the surface area of polyhedra

Surface Area of Three-Dimensional Figures

• Find the surface are of three-dimensional figures

Perspective Drawings

• Make one- and two- point perspective drawings

• Locate the vanishing points with isometric drawings

Isometric Drawings

• Visualize and represent objects with isometric drawings

4.1.B1,4 4.3.D1,2 4.5.A1-5 4.5.C1-4,6 4.5.E1-3

Chapter Prerequisite Skills pp. 420-421 Study Skills Activities 32-33 Lesson Warm-Up Transparencies, WU #39-43 Teaching Transparencies, RF-1, 49-54 TK-9, 15 Technology Activities 10-3, 10-4, 10-7 Quick Assessment, ATE pp. 419, 424, 428, 434, 438, 444, 448, 454, 458, 463 Teaching Tips pp. 420, 421, 422, 423, 427, 433, 452, 453, 456, 460, 462, 463 Extend the Lesson pp. 434, 436, 443, 458, Mixed Review Exercises pp. 425, 429, 435, 439, 445, 449, 455, 459, 463







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September 2007 21

Three-Dimensional Geometry (Chapter 10 pp. 418-469) Orthogonal Drawings

• Sketch orthogonal drawings of figures

• Sketch and use foundation drawings

Volume of Prisms and Pyramids

• Use a formula to find the volume of prisms

• Use a formula to find the volume of pyramids

Volume of Cylinders, Cones, and Spheres

• Find the volume of cylinders, cones, and spheres

Problem Solving Skills: Length, Area, and Volume

• Solve a problem using length, area, and volume

• Use an equation or formula to solve a problem

Open-Ended Assessment pp. 419, 425, 439, 455, 466, 467 Reteaching Activities, CRM pp. 309, 312, 315, 318, 321, 324, 327, 330, 333 Extra Practice, CRM pp. 310, 313, 316, 319, 322, 325, 328, 331, 334 Enrichment, CRM pp. 311, 314, 317, 320, 323, 326, 329, 332, 335 Assessment, CRM pp.339-345 Text pp. 464-466, 467 Cumulative Review pp. 431, 441, 451, 461





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September 2007 22

7 days

Right triangle Geometry (Chapter 11 pp. 470-515) Similar Polygons

• Identify similar polygons • Find measures of similar

polygons Indirect Measurements

• Use similar triangles to find indirect measurements

The Pythagorean Theorem

• Use the Pythagorean Theorem to find unknown measurements

Sine, Cosine, and Tangent Ratios

• Identify the sine, cosine, and tangent rations in a right triangle

• Compute the sine, cosine, and tangent ratios for different angles

Find Length of Sides in Right Triangles

• Use trigonometric ratios to find lengths of sides in right triangles

4.1.B1,4 4.2.A1,3,4 4.2.D2 4.2.E1,2 4.3.D1-3 4.5.A1-5 4.5.C1-4,6 4.5.E1-3

Chapter Prerequisite Skills pp. 472-473 Study Skills Activities 23 Lesson Warm-Up Transparencies, WU #44-47 Teaching Transparencies, RF-1, 55-57 , TK-9, 15, 17 Technology Activities 11-1, 11-3, 11-5 Quick Assessment, ATE pp. 473, 476, 480, 486, 490, 496, 500, 506, 509 Teaching Tips pp. 472, 473, 475, 478, 482, 483, 489, 490, 492, 493, 494, 499, 502, 503, 511, 513 Extend the Lesson pp. 476, 480, 481, 485, 487, 488, 496, 501, 508







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September 2007 23

Right triangle Geometry (Chapter 11 pp. 470-515) Find Measures of Angles in Right Triangles

• Use trigonometric ratios to find measures of angles in right triangles

Special Right Triangles

• Explore the relationship in 30 -60-90 degrees right angles

Problem Solving Skills: Reasonable Solutions

• Solve a problem using reasonable solutions

• Solve a problem by eliminating possibilities

Mixed Review Exercises pp. 477, 481, 487, 491, 497, 501, 507, 509 Open-Ended Assessment pp. 471, 481, 497, 501, 512, 513 Reteaching Activities, CRM pp. 347, 350, 353, 356, 359, 362, 365, 368 Extra Practice, CRM pp. 348, 351, 354, 357, 360, 363, 366, 369 Enrichment, CRM pp. 349, 352, 355, 358, 361, 364, 367, 370 Assessment, CRM pp. 373-379 Text pp. 510-512, 513 Cumulative Review pp. 493, 503





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September 2007 24

7 days

Logic and Sets (Chapter 12 pp. 516-557) Properties of Sets

• Define sets using different notations

• Explore and use properties of sets

Union and Intersection of Sets

• Find the complement of A set • Find the union and the

intersection of two sets Problem Solving Skills: Conditional Statements

• Solve a problem using conditional statements

Converse, Inverse, and Contrapositive

• Compare the converse, inverse, and Contrapositive of conditional statements

• Determine if conditional

statements are true and false

4.5.A1-5 4.5.B1-4 4.5.C1-6 4.5.D1-6 4.5.E1-3

Chapter Prerequisite Skills pp. 518-519 Study Skills Activities 34 Lesson Warm-Up Transparencies, WU #47-51 Teaching Transparencies, RF-1, 15, 59, 60 Technology Activities 12-2, 12-4, 12-5 Quick Assessment, ATE pp. 519, 522, 526, 531, 534, 540, 544, 550 Teaching Tips pp. 518, 521, 531, 538, 539, 542, 543 Extend the Lesson pp. 520, 524, 525, 528, 541, 545, 546 Mixed Review Exercises pp. 523, 527, 531, 535, 541, 545, 551







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September 2007 25

Logic and Sets (Chapter 12 pp. 516-557) Inductive and Deductive Reasoning

• Identify and use inductive reasoning

• Identify and use deductive reasoning

Patterns of Deductive Reasoning

• Identify arguments as valid or invalid

Logical Reasoning to Prove Algebraic Statements

• Use logical reasoning to prove algebraic statements

• Use logical reasoning to prove geometric statements

Open-Ended Assessment pp. 517, 523, 527, 535, 551, 554, 555 Reteaching Activities, CRM pp. 381, 384, 387, 390, 393, 396, 399 Extra Practice, CRM pp. 382, 385, 388, 391, 394, 397, 400 Enrichment, CRM pp. 383, 386, 389, 392, 395, 398, 401 Assessment, CRM pp. 405-411 Text pp. 552-555 Cumulative Review pp. 528, 537, 546

Documents

KEANSBURG SCHOOL DISTRICT€¦ · Range • Calculate the mean, median, and mode of data • Find the range of a set of data . Histograms and Stem-and-leaf Plots • Use and create