9th Grade Math Special Education Course of Study of Contents 1. Findlay City Schools Mission Statement 2. 9th Grade Math Curriculum Map 3. 9th Grade Math Indicators 9th Grade Math

9th Grade Math

Special Education

Course of Study

Findlay City Schools 2006

Table of Contents

1. Findlay City Schools Mission Statement 2. 9th Grade Math Curriculum Map 3. 9th Grade Math Indicators

9th Grade Math Special Education Course of Study Writing Team

Laura Reinhart Kim Coffman

Karen Ouwenga Linda D’Angelo Donna Leonard

Sandy White

Mission Statement

The mission of the Findlay City Schools, a community partnership committed to educational excellence, is to instill in each student the knowledge, skills and virtues necessary to be lifelong learners who recognize their unique talents and purpose and use them in pursuit of their dreams and for service to a global society. This is accomplished through a passion for knowledge, discovery and vision shared by students, families, staff and community.

Beliefs Our beliefs form the ethical foundation of the Findlay City Schools. We believe….

• every person has worth • every individual can learn • family is the most important influence on the

development of personal values. • attitude is a choice and always affects performance • motivation and effort are necessary to achieve full

potential • honesty and integrity are essential for building

trust. • people are responsible for the choices they make. • performance is directly related to expectations. • educated citizens are essential for the survival of

the democratic process. • personal fulfillment requires the nurturing of mind,

body and spirit. • every individual has a moral and ethical obligation to

contribute to the well-being of society. • education is a responsibility shared by students,

family, staff and community. • the entire community benefits by investing its time,

resources and effort in educational excellence. • a consistent practice of shared morals and ethics is

essential for our community to thrive.

9th GRADE MATH Special Education

(Course # 056)

COURSE OF STUDY

November 2006

9th GRADE M MATH CURRICULUM MAP

Week Chapter Topic Indicator

1 1 Decimal Patterns & Algebra

8N1, 8N3, 8N6, 8N8, 9N3, 9N5, 8M2, 9M1, 9M2, 9M5, 8P1, 8P2, 8P4, 8P5, 9P3





4 2 Statistics & Analyzing Data

8P1, 9P3, 9D2, 9D3, 8D1, 8D2, 8D4, 10D5, 9D4


8P1, 9P3, 9D2, 9D3, 8D1, 8D2, 8D4, 10D5, 9D4


8P1, 9P3, 9D2, 9D3, 8D1, 8D2, 8D4, 10D5, 9D4

7 3 Algebra: Integers 9N4, 8N3, 8N6, 9P7, 8P7, 9P3, 8P5



10 4 Algebra: Linear Equations & Functions

8P1, 9P3, 8P3, 9P2, 8P5, 8P7, 8P4, 8P9, 8P15, 9P15, 8P16


8P1, 9P3, 8P3, 9P2, 8P5, 8P7, 8P4, 8P9, 8P15, 9P15, 8P16


8P1, 9P3, 8P3, 9P2, 8P5, 8P7, 8P4, 8P9, 8P15, 9P15, 8P16

13 5 Fractions, Decimals & Percents

9N2

14 5 Fractions, Decimals & 9N2

Percents 15 6 Applying Fractions 9M1, 9M2, 9M5, 8M2, 9P7,

8P7, 9P3, 8P4 16 6 Applying Fractions 9M1, 9M2, 9M5, 8M2, 9P7,

8P7, 9P3, 8P4 17 6 Applying Fractions 9M1, 9M2, 9M5, 8M2, 9P7,

8P7, 9P3, 8P4 18 1-6 Exams See chapters 1-6 19 7 Ratios & Proportions 9N2, 8M7, 9M3, 8M7, 9D5 20 7 Ratios & Proportions 9N2, 8M7, 9M3, 8M7, 9D5 21 7 Ratios & Proportions 9N2, 8M7, 9M3, 8M7, 9D5 22 8 Applying Percent 8N6, 9D5 23 8 Applying Percent 8N6, 9D5 24 8 Applying Percent 8N6, 9D5 25 9 Probability 8D10, 9D10 26 9 Probability 8D10, 9D10 27 9 Probability 8D10, 9D10 28 10 Geometry 8G1, 10G1, 9G2, 8M8, 10G3,

8G3, 10G6, 8G5, 10G9, 10G6

29 10 Geometry 8G1, 10G1, 9G2, 8M8, 10G3, 8G3, 10G6, 8G5, 10G9, 10G6

30 10 Geometry 8G1, 10G1, 9G2, 8M8, 10G3, 8G3, 10G6, 8G5, 10G9, 10G6

31 11 Geometry: Measuring Two-Dimensional Figures

9N3, 9N5, 8M4, 8M5, 9G2, 9P7, 8P7, 9P3, 9P15, 8P16, 8D10


9N3, 9N5, 8M4, 8M5, 9G2, 9P7, 8P7, 9P3, 9P15, 8P16, 8D10


9N3, 9N5, 8M4, 8M5, 9G2, 9P7, 8P7, 9P3, 9P15, 8P16, 8D10

34 12 Geometry: Measuring Three-Dimensional Figures

8M9, 8M10, 8G6, 9P7, 8P7, 9P3

35 12 Geometry: Measuring Three-Dimensional Figures

8M9, 8M10, 8G6, 9P7, 8P7, 9P3

36 1-12 Exams See Chapters 1-12 Textbook: Glencoe Mathematics: Applications and Concepts, Course 2, Ohio Edition ISBN: 0-07-865263-4 Copyright 2006

STANDARD: Number Sense BENCHMARK: (A) Use scientific notation to express large numbers and numbers less than one. (I) Estimate, compute, and solve problems involving scientific notation, square roots, and numbers with integer exponents. (F) Explain the effects of operations on the magnitude of quantities. (B) Identify subsets of the real number system. (G) Estimate, compute, and solve problems involving real numbers, including ratio, proportion and percent, and explain solutions. STANDARD: Measurement BENCHMARK: (D) Use proportional reasoning and apply indirect measurement techniques, including right triangle trigonometry and properties of similar triangles, to solve problems involving measurements and rates. STANDARD: Patterns, Functions, and Algebra BENCHMARK: (A) Generalize and explain patters and sequences in order to find the next term and the nth term. (B) Identify and classify functions as linear or nonlinear, and contrast their properties using tables, graphs, or equations. (C) Translate information from one representation (words, table, graph, or equation) to another representation of a relation or function. (D) Use algebraic representations, such as tables, graphs, expressions, functions, and inequalities, to model and solve problem situations. TOPIC/UNIT: Chapter 1 Time Line: 3 weeks Indicators: 8N1: Use scientific notation to express large numbers and small numbers between 0 and 1. 8N3: Apply order of operations to simplify expressions and perform computations involving integer exponents and radicals. 8N6: Estimate, compute and solve problems involving rational numbers, including ratio, proportion and percent, and judge the reasonableness of solutions. 8N8: Add, subtract, multiply, divide and compare numbers written in scientific notation. 9N3: Explain the effects of operations such as multiplication or division, and of computing powers and roots on the magnitude of quantities. 9N5: Estimate the solutions for problem situations involving square and cube roots. 8M2: Use proportional relationships and formulas to convert units from one measurement system to another; e.g., degrees Fahrenheit to degrees Celsius. 9M1: Convert rates

within the same measurement system; e.g., miles per hour to feet per second; kilometers per hour to meters per second. 9M2; Use unit analysis to check computations involving measurement. 9M5: Solve problems involving unit conversion for situations involving distances, areas, volumes and rates within the same measurement system. 8P1: Relate the various representations of a relationship; i.e., relate a table to graph, description and symbolic form. 8P2: Generalize patterns and sequences by describing how to find the nth term. 8P4: Extend the uses of variables to include covariants where y depends on x. 8P5: Use physical models to add and subtract monomials and polynomials, and to multiply a polynomial by a monomial. 9P3: Describe problem situations (linear, quadratic and exponential) by using tabular, graphical and symbolic representations. KNOW

• Four-step problem solving • Algebraic expressions • Addition & multiplication

properties • Sequence patterns • Scientific notation

DO • Will solve problems using

the Four-Step Plan • Will evaluate simple

algebraic expressions • Will use addition &

multiplication properties to solve problems

• Will recognize and extend patterns for sequence

• Will write numbers greater than 100 in scientific notation

PRE-ASSESSMENT:

Prerequisite skills pg 5 ASSESSMENT: Study guide pg 46-48 Practice Test pg 49 Standardized Test Practice

pg 9, 13, 17, 21, 27, 28, 33, 36, 41, 45, 49, 50

GRAPHIC ORGANIZER & OR TECHNOLOGY: Exam View Pro Testmaker Mindjogger Video Quizzes

• Msmath2.net/vocabulary_review • Msmath2net./chapter_test

Noteables Foldables pg 5 MathPASS: Tutorial Plus pg 4E

• Msmath2.net/self_check_quiz • Msmath2.net/extra_examples

TESTING SKILL(S) & OR SAMPLE OGT TYPE QUESTIONS: Multiple Choice Tests

• Chapter Resource Masters (CRM) pg 47-52

Free Response Tests • CRM pg 53-58

Countdown to OGT pg OH 10, 11, 18

BEST PRACTICES: Foldables Brainpops Cooperative Learning Interactive Chalkboard Peer Tutoring

RESOURCES: Parent and Student Study Gd 5 Minute Check Transparencies Key Teaching Transparencies Mid Chapter Test CRM pg 63 MathPASS Tutorial Plus Teaching Math w/Manipulatives Study Guide & Intervention CRM pg 1, 6, 11, 16, 21, 26, 31, 36, 41 Practice Skills & Word Problems CRM pg 2, 3, 7, 8, 12, 13, 17, 18, 22, 23, 27, 28, 32, 33, 37, 38, 42, 43 Reading to Learn Math CRM Pg 4, 9, 14, 19, 24, 29, 34, 39, 44 Enrichment CRM p 5, 10, 15, 20, 25, 30, 35, 40, 45 Assessment CRM pg 47-66

TESTING VOCABULARY: Vocabulary & Concept Check pg 46 Vocabulary Test Review CRM pg 60

HISTORICAL/MODERN LINK: Television pg 7 Video games pg 15 Athletic trainer pg 19

STANDARD: Patterns, Relations, and Functions BENCHMARK: (B): Identify and classify functions as linear or nonlinear, and contrast their properties using tables, graphs or equations. (C): Translate information from one representation (words, table, graph or equation) to another representation of a relation or function. STANDARD: Data Analysis and Probability BENCHMARK: (A): Create, interpret and use graphical displays and statistical measures to describe data; e.g., box-and-whisker plots, histograms, scatter plots, measures of center and variability. (B): Evaluate different graphical representations of the same data to determine which is the most appropriate representation for an identified purpose. (D): Find, use and interpret measures of center and spread, such as mean and quartiles, and use those measures to compare and draw conclusions about sets of data. (E): Evaluate the validity of claims and predictions that are based on data by examining the appropriateness of the data collection and analysis. (G): Describe sampling methods and analyze the effects of method chosen on how well the resulting sample represents the population. TOPIC/UNIT: Chapter 2 Time Line: 3 weeks Indicators: 8P1: Relate the various representations of a relationship; i.e., relate a table to graph, description and symbolic form. 8D1: Use, create and interpret scatterplots and other types of graphs as appropriate. 8D2: Evaluate different graphical representations of the same data to determine which is the most appropriate representation for an identified purpose; e.g., line graph for change over time, circle graph for part-to-whole comparison, scatterplot for relationship between two variants. 8D4: Compare two sets of data using measures of center (mean, mode, median) and measures of spread (range, quartiles, interquartile range, percentiles). 9P3: Describe problem situations (linear, quadratic and exponential) by using tabular, graphical and symbolic representations. 9D2: Create a scatterplot for a set of bivariate data, sketch the line of best fit, and interpret the slope of the line of best fit. 9D3: Analyze and interpret frequency distributions based on spread, symmetry, skewness, clusters and outliers. 9D4: Describe and compare various types of studies (survey, observation, experiment), and identify possible misuses of statistical data. 10D5: Provide examples and explain how a statistic may or may not be an attribute of the entire

population; e.g., intentional or unintentional bias may be present. KNOW

• Tables and graphs • Mean, median, and mode

DO • Organize and interpret

data in tables and graphs • Make prediction from

graphs • Find the mean, median,

and mode of a set of data • Recognize when statistics

and graphs are misleading

PRE-ASSESSMENT: Prerequisite skills pg 53

ASSESSMENT: Study guide pg 67, 72, 77, 82, 87, 92, 97, 102 Practice Test pg 68, 73, 78, 83, 88, 93, 98, 103 Standardized Test Practice

Pg 57, 63, 68, 72, 74, 79, 83, 89, 95, 99, 100








Countdown to OGT pg OH12, 13


RESOURCES: Parent and Student Study Gd 5 Minute Check Transparencies Key Teaching Transparencies Mid Chapter Test CRM pg 123 MathPASS Tutorial Plus Teaching Math w/Manipulatives Study Guide & Intervention CRM pg 96-98 Practice Skills & Word Problems CRM pg 68, 73, 78, 83, 88, 93, 98, 103 Reading to Learn Math CRM Pg 70, 75, 80, 85, 90, 95, 100, 105 Enrichment CRM pg 71, 76, 81, 86, 91, 96, 101, 106 Assessment CRM pg 121, 122, 123, 107, 120, 124-128


HISTORICAL/MODERN LINK: Olympics pg 55 Space pg 70 Nutritionist pg 77 Presidents pg 82

STANDARD: Number, Number Sense, and Operations BENCHMARK: (B): Identify subsets of the real number system. (G): Estimate, compute and solve problems involving real numbers, including ratio, proportion, and percent, and explain solutions. STANDARD: Patterns, Functions, and Algebra BENCHMARK: (B): Identify and classify functions as linear or nonlinear, and contrast their properties using tables, graphs or equations. (D): Use algebraic representations, such as tables, graphs, expressions, functions and inequalities, to model and solve problem situations. TOPIC/UNIT: Chapter 3 Time Line: 3 weeks Indicators: 8P5: Use physical models to add and subtract monomials and polynomials, and to multiply a polynomial by a monomial. 8P7: Use symbolic algebra (equations and inequalities), graphs and tables to represent situations and solve problems. 8N3: Apply order of operations to simplify expressions and perform computations involving integer exponents and radicals. 8N6: Estimate, compute and solve problems involving rational numbers, including ratio, proportion and percent, and judge the reasonableness of solutions. 9P3: Describe problem situations (linear, quadratic and exponential) by using tabular, graphical and symbolic representations. 9P7: Use formulas to solve problems involving exponential growth and decay. 9N4: Demonstrate fluency in computations using real numbers.

KNOW • Absolute value • Coordinate plane • integers

DO • Read and write integers

and find the absolute value of an integer

• Graph points on a coordinate plane

• Add, subtract, multiply, and divide integers

PRE-ASSESSMENT:

Prerequisite skills pg 105 ASSESSMENT: Study guide pg 142 Practice Test pg 145 Standardized Test Practice

pg 108, 111, 115, 124, 131, 137, 141, 145, 146










RESOURCES: Parent and Student Study Gd Minute Check Transparencies Key Teaching Transparencies Mid Chapter Test CRM pg 181 MathPASS Teaching Math w/Manipulatives Study Guide & Intervention CRM pg 129, 134, 139, 144, 149, 154, 159

Practice Skills & Word Problems CRM pg 130, 135, 140, 145, 150, 155, 160 Reading to Learn Math CRM Pg 132, 137, 142, 147, 152, 157, 162 Enrichment CRM pg 133, 138, 143, 148, 153, 158, 163 Assessment CRM pg 179, 182, 180, 165-178, 182-184


HISTORICAL/MODERN LINK: Cartographer pg 113 Oceanography pg 122 Astronomy pg 139

STANDARD: Patterns, Functions, and Algebra BENCHMARK: (A): Generalize and explain patterns and sequences in order to find the next term and nth term. (B): Identify and classify functions as linear or nonlinear, and contrast their properties using tables, graphs or equations. (C): Translate information from one representation (words, table, graph or equation) to another representation of a relation or function. (D): Use algebraic representations, such as tables, graphs, expressions, functions, and inequalities, to model and solve problem situations. (F): Solve and graph linear equations and inequalities. (J): Describe and interpret rates of change from graphical and numerical data. TOPIC/UNIT: Chapter 4 Time Line: 3 weeks Indicators: 8P1: Relate the various representations of a relationship; i.e., relate a table to graph, description and symbolic form. 8P3: Identify functions as linear or nonlinear based on information given in a table, graph or equation. 8P4: Extend the uses of variables to include covariants where y depends on x. 8P5: Use physical models to add and subtract monomials and polynomials, and to multiply a polynomial by a monomial. 8P7: Use symbolic algebra (equations and inequalities), graphs and tables to represent situations and solve problems. 8P9: Solve linear equations and inequalities graphically, symbolically and using technology. 8P15: Describe and compare how changes in an equation affects the related graphs; e.g., for a linear equation changing the coefficient of x affects the slope and changing the constant affects the intercepts. 8P16: Use graphing calculators or computers to analyze change; e.g., interest compounded over time as a nonlinear growth pattern. 9P2: Generalize patterns using functions or relationships (linear, quadratic and exponential), and freely translate among tabular, graphical and symbolic representations. 9P3: Describe problem situations (linear, quadratic and exponential) by using tabular, graphical and symbolic representations. 9P15: Describe how a change in the value of a constant in a linear or quadratic equation affects the related graphs.

KNOW • Expressions and equations • Properties of equality • Inequalities • Functions

DO • Write expressions and

equations • Solve equations using the

properties of equality • Solve inequalities • Represent functions with

words, equations, and graphs

PRE-ASSESSMENT:


pg 152, 159, 163, 169, 175, 181, 185



Noteables Foldables pg 149 MathPASS: Tutorial Plus 148E





Countdown to OGT pg OH 16, 17, 24


RESOURCES: Parent and Student Study Gd 5 Minute Check Transparencies Key Teaching Transparencies Mid ChapterTest CRM pg 237 MathPASS Tutorial Plus Teaching Math w/Manipulatives Study Guide & Intervention CRM pg 185, 190, 195, 200, 205, 210,

215 Practice Skills & Word Problems CRM pg 186, 191, 196, 201, 206, 211, 216 Reading to Learn Math CRM Pg 188, 193, 196, 203, 208, 213, 218 Enrichment CRM pg 189, 194, 199, 204, 209, 214, 219 Assessment CRM pg 235, 237, 236, 221-234, 238-242


HISTORICAL/MODERN LINK: Animals pg 161 Nurse pg 173 Skateboarding pg 179

STANDARD: Number, Number Sense, and Operations BENCHMARK: (D): Connect physical, verbal and symbolic representations of integers, rational numbers and irrational numbers. (E): Compare, order and determine equivalent forms of real numbers. TOPIC/UNIT: Chapter 5 Time Line: 2 weeks Indicators: 9N2: Compare, order and determine equivalent forms for rational and irrational numbers. KNOW

• Prime factorization • Greatest common factor • Fractions • Percents • Decimals

DO • find the prime factorization

of a composite number • find the greatest common

factor of two or more numbers

• write fractions in simplest form

• write fractions as terminating or repeating decimals

• write fractions and decimals as percents and percents as fractions and decimals

• find the least common multiple of two or more numbers

• compare and order fractions, decimals, and percents

PRE-ASSESSMENT:


pg 200, 206, 213, 214, 219, 223, 226, 231, 235, 236








Countdown to OGT pg OH19


RESOURCES: Parent and Student Study Gd 5 Minute Check Transparencies Key Teaching Transparencies Mid Chapter Test CRM pg 299 MathPASS Tutorial Plus Teaching Math w/Manipulatives Study Guide & Intervention CRM pg 243, 248, 253, 258, 263, 268, 273, 278 Practice Skills & Word Problems CRM pg 244, 249, 254, 259, 264, 269, 274, 279 Reading to Learn Math CRM Pg 246, 251, 256, 261, 266, 271, 276, 281 Enrichment CRM pg 247, 252, 257, 262, 267, 272, 277, 282 Assessment CRM pg 297, 299, 298, 283-296, 300-302


HISTORICAL/MODERN LINK: Music Composer pg 208 Coins pg 217 Geography pg 221 Mountain biking pg 228

STANDARD: Measurement BENCHMARK: (D): Use proportional reasoning and apply indirect measurement techniques, including right triangle trigonometry and properties of similar triangles, to solve problems involving measurements and rates. STANDARD: Patterns, Functions, and Algebra BENCHMARK: (B): Identify and classify functions as linear or nonlinear, and contrast their properties using tables, graphs or equations. (D): Use algebraic representations, such as tables, graphs, expressions, functions and inequalities, to model and solve problem situations. TOPIC/UNIT: Chapter 6 Time Line: 3 weeks Indicators: 8M2: Use proportional relationships and formulas to convert units from one measurement system to another; e.g., degrees Fahrenheit to degrees Celsius. 8P4: Extend the uses of variables to include covariants where y depends on x. 8P7: Use symbolic algebra (equations and inequalities), graphs and tables to represent situations and solve problems. 9M1: Convert rates within the same measurement system; e.g., miles per hour to feet per second; kilometers per hour to meters per second. 9M2: Use unit analysis to check computations involving measurement. 9M5: Solve problems involving unit conversion for situations involving distances, areas, volumes and rates within the same measurement system. 9P3: Describe problem situations (linear, quadratic and exponential) by using tabular, graphical and symbolic representations. 9P7: Use formulas to solve problems involving exponential growth and decay.

KNOW • Fractions and mixed numbers • Equations • Rational numbers • Customary system • Perimeter, area, & circumference

DO • Estimate with fractions

and mixed numbers • Add, subtract, multiply,

and divide fractions and mixed numbers

• Solve equations with rational number solutions

• Change units in the customary system

• Find perimeters, areas, and circumferences

PRE-ASSESSMENT:


pg 243, 247, 251, 257, 261, 262, 266, 269, 273, 277, 281, 282






• Chapter Resource Masters (CRM) pg 349 -354



BEST PRACTICES: Foldables Brainpops Cooperative Learning Interactive Chalkboard

RESOURCES: Parent and Student Study Gd 5 Minute Check Transparencies Key Teaching Transparencies Mid Chapter Test CRM pg 265

Peer Tutoring

MathPASS Tutorial Plus Teaching Math w/Manipulatives Study Guide & Intervention CRM pg 303, 308, 313, 318, 323, 328, 333, 338, 343 Practice Skills & Word Problems CRM pg 304, 309, 314, 319, 324, 329, 334, 339, 344 Reading to Learn Math CRM Pg 306, 311, 316, 321, 326, 331, 336, 341, 346 Enrichment CRM pg 307, 312, 317, 322, 327, 332, 337, 342, 347 Assessment CRM pg 363, 365, 364, 349-362, 336-374


HISTORICAL/MODERN LINK: Weather pg 245 Plumber pg 249 Surveying pg 265 Skiing pg 268

STANDARD: Number, Number Sense, and Operations BENCHMARK: (E) Compare, order and determine equivalent forms of real numbers. STANDARD: Measurement BENCHMARK: (D) Use proportional reasoning and apply indirect measurement techniques, including right triangle trigonometry and properties of similar triangle, to solve problems involving measurements and rates. STANDARD: Data Analysis and Probability BENCHMARK: (G) Describe sampling methods and analyze the effects of method chosen on how well the resulting sample represents the population. TOPIC/UNIT: Chapter 7 Time Line: 3 Weeks Indicators: (8M7) Apply proportional reasoning to solve problems involving indirect measurements or rates. (9N2) Compare, order and determine equivalent forms for rational and irrational numbers. (9M3) Use the ratio of lengths in similar two-dimensional figures or three-dimensional objects to calculate the ratio of their areas or volumes respectively. (9D5) Describe characteristics and limitations of sampling methods, and analyze the effects of random versus biased sampling; e.g., determine and justify whether the sample is likely to be representative of the population.

KNOW • Ratios/fractions • Proportions • Scale drawings • percent

DO • write ratios as fractions

and determine whether two ratios are equivalent

• solve proportions • solve problems involving

scale drawings • write percents as

fractions and vice-versa • solve problems using the

percent proportion •


ASSESSMENT: Study guide pg 326 Practice Test pg 329 Standardized Test Practice

pg 291, 295, 300, 308, 315, 318, 321, 325, 329, 330








Countdown to OGT pg OH 22, 23


RESOURCES: Parent and Student Study Gd 5 Minute Check Transparencies Key Teaching Transparencies Mid Chapter Test CRM pg 431 MathPASS Tutorial Plus Teaching Math w/Manipulatives

Study Guide & Intervention CRM pg 375, 380, 385, 390, 395, 400, 405, 410 Practice Skills & Word Problems CRM pg 376, 381, 386, 391, 396, 401, 406, 411 Reading to Learn Math CRM Pg 378, 383, 388, 393, 398, 403, 408, 413 Enrichment CRM pg 379, 384, 389, 394, 399, 404, 409, 414 Assessment CRM pg 429, 431, 430, 415-428, 432-434


HISTORICAL/MODERN LINK: Ponds pg 289 Paleontologist pg 298

STANDARD: Number, Number Sense, and Operations BENCHMARK: (G) Estimate, compute and solve problems involving real numbers, including ratio, proportion and percent, and explain solutions. STANDARD: Data Analysis and Probability BENCHMARK: (G) Describe sampling methods and analyze the effects of method chosen on how well the resulting sample represents the population. TOPIC/UNIT: Chapter 8 Time Line: 3 Weeks Indicators: (8N6) Estimate, compute and solve problems involving rational numbers, including ratio, proportion and percent, and judge the reasonableness of solutions. (9D5) Describe characteristics and limitations of sampling methods, and analyze the effects of random versus biased sampling; e.g., determine and justify whether the sample is likely to be representative of the population. KNOW

• Percent • Sample group • Simple interest

DO • solve problems by using

the percent equation • predict actions of a larger

group by using a sample • find the percent of

increase or decrease • solve problems involving

simple interest


ASSESSMENT: Study guide pg 362 Practice Test pg 365 Standardized Test Practice

Pg 337, 343, 347, 353, 357, 360, 365, 366










RESOURCES: Parent and Student Study Gd 5 Minute Check Transparencies Key Teaching Transparencies Mid Chapter Test CRM pg 481 MathPASS Tutorial Plus Teaching Math w/Manipulatives Study Guide & Intervention CRM pg 435, 440, 445, 450, 455, 460 Practice Skills & Word Problems CRM pg 436, 441, 446, 451, 456, 461 Reading to Learn Math CRM Pg 438, 443, 448, 453, 458, 463 Enrichment CRM pg 439, 444, 449, 454, 459, 469 Assessment CRM pg 479, 481, 480, 465-478, 482-484


HISTORICAL/MODERN LINK: Communication pg 346 Stockbroker pg 351

STANDARD: Data Analysis and Probability BENCHMARK: (H) Use counting techniques, such as permutations and combinations, to determine the total number of options and possible outcomes. (K) Make predictions based on theoretical probabilities and experimental results. TOPIC/UNIT: Chapter 9 Time Line: 3 Weeks Indicators: (8D10) Calculate the number of possible outcomes for a situation, recognizing and accounting for when items may occur more than once or when order is important., (9D10) Use theoretical and experimental probability, including simulations or random numbers, to estimate probabilities and to solve problems dealing with uncertainty; e.g., compound events, independent events, simple dependent events. KNOW

• Probability • Counting Techniques • Permutations • Combinations • Independent and dependent

events

DO • Find the probability of a

simple event • Use multiplication to count

outcomes • Find the number of

permutations and combinations of a set of objectives

• Find the probability of independent and dependent events

PRE-ASSESSMENT:

Prerequisite skills pg 369, 373, 383, 390, 396

ASSESSMENT: Study guide pg 402-404 Practice Test pg 405 Standardized Test Practice

• pg 539-540 • Pg 373, #31-39 • Pg 377, #23-28 • Pg 380, #21-26 • Pg 383, #21-28

• Pg 384, #15-16 • Pg 390, #19-26 • Pg 396, #22-25 • Pg 401, #25-32 • Pg 405, #16



Noteables Foldables pg 369 MathPASS: Tutorial Plus





Countdown to OGT • OH26, OH27, OH28


RESOURCES: Parent and Student Study Gd 5 Minute Check Transparencies Key Teaching Transparencies Mid Chapter Test CRM pg 384 MathPASS Teaching Math w/Manipulatives Study Guide & Intervention CRM pg 485, 490, 495, 500, 505, 510, 515 Practice Skills & Word Problems CRM pg 486, 491, 496, 501, 506, 511, 516 Reading to Learn Math CRM Pg 488, 493, 498, 503, 508, 513, 518 Enrichment CRM p 489, 494, 499, 504, 509, 514, 519 Assessment CRM pg 521-540


HISTORICAL/MODERN LINK: Parcheesi 371 Scooters 375 Swimming 382 Checkers 383 Chef 394

STANDARD: Geometry and Spatial Sense BENCHMARK: (A) Formally define geometric figures, (B) Describe and apply the properties of similar and congruent figures: and justify conjectures involving similarity and congruence, (C) Recognize and apply angle relationships in situations involving intersection lines, perpendicular lines and parallel lines, (F) Represent and model transformations in a coordinate plane and describe the results, (H) Establish the validity of conjectures about geometric objects, their properties and relationships by counterexample, inductive and deductive reasoning, and critiquing arguments made by others STANDARD: Measurement BENCHMARK: (E) Estimate and compute various attributes, including length, angle measure, area surface area and volume, to a specified level of precision TOPIC/UNIT: Chapter 10 Time Line:3weeks Indicators: (8G1) Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of two-dimensional figures and three- dimensional objects (8G3) Use proportions in several forms to solve problems involving similar figures (part-to-part, part-to-whole, corresponding sides between figures). (8G5) Draw the results of translations, reflections, rotations and dilations of objects in the coordinate plane, and determine properties that remain fixed; e.g., lengths of sides remain the same under translation (8M8) Find the sum of the interior and exterior angles of regular convex polygons with and without measuring the angles with a protractor. (9G2) Apply proportions and right triangle trigonometric ratios to solve problems involving missing lengths and angle measures in similar figures. (10G1)Formally define and explain key aspects of geometric figures, including: a. interior and exterior angles of polygons; b. segments related to triangles (median, altitude, midsegment); c. points of concurrency related to triangles (centroid, incenter, orthocenter, circumcenter); d. circles (radius, diameter, chord, circumference, major arc, minor arc, sector, segment, inscribed angle). (10G3) Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof, including: a. prove the Pythagorean Theorem; b. prove theorems involving triangle similarity and congruence; c. prove theorems involving properties of lines, angles, triangles and quadrilaterals; d.

test a conjecture using basic constructions made with a compass and straightedge or technology. (10G6) Identify the reflection and rotation symmetries of two- and three- dimensional figures. (10G9) Show and describe the results of combinations of translations, reflections and rotations (compositions); e.g., perform compositions and specify the result of a composition as the outcome of a single motion, when applicable KNOW

• Angle relationships • Polygons • Similar Figures

DO • Identify and apply angle

relationships • Identify and classify

triangles and quadrilaterals • Determine whether figures

are similar and find a missing length in a pair of similar figures

PRE-ASSESSMENT:

Prerequisite skills pg 411, 415, 421, 425, 431, 437, 443, 450


• pg 607-608 • Pg 415, #24-29 • Pg 421, #17-22 • Pg 425, #30-38 • Pg 431, #27-32 • Pg 437, #33-45 • Pg 438, #15-16 • Pg 443, #18-23 • Pg 450, #32-41 • Pg 454, #19-22 • Pg 459, #20-27 • Pg 65, #16








Countdown to OGT • OH28, OH29, OH30, OH31


RESOURCES: Parent and Student Study Gd 5 Minute Check Transparencies Key Teaching Transparencies Mid Chapter Test CRM pg 438 MathPASS Teaching Math w/Manipulatives Study Guide & Intervention CRM pg 543, 548, 553, 558, 563, 568, 573, 578, 583 Practice Skills & Word Problems CRM pg 544, 549, 554,k 559, 564, 569, 574, 579, 584 Reading to Learn Math CRM Pg 546, 551, 556, 561, 566, 571, 576, 581, 586 Enrichment CRM p 547, 552, 557, 562, 567, 572, 577, 582, 587 Assessment CRM pg 589-602, 603-608


HISTORICAL/MODERN LINK: Olympics 419 Basketball 423 Landscape Architect 448 Chess 452

STANDARD: Number, Number Sense, and Operations BENCHMARK: (F) Explain the effects of operations on the magnitude of quantities, (I) Estimate, compute and solve problems involving scientific notation, square roots and numbers with integer exponents STANDARD: Measurement BENCHMARK: (A) Solve increasingly complex non-routine measurement problems and check for reasonableness of results, (B) Use formulas to find surface area and volume for specified three-dimensional objects accurate to a specified level of precision STANDARD: Geometry and Spatial Sense BENCHMARK: (I) Use right triangles trigonometric relationships to determine lengths and angle measures STANDARD: Patterns, Functions, and Algebra BENCHMARK: (B) Identify and classify functions as linear or nonlinear, and contrast their properties using tables, graphs or equations, (D) Use algebraic representations, such as tables, graphs, expressions functions and inequalities, to model and solve problem situations, (J) Describe and interpret rates of change from graphical and numerical data STANDARD: Data Analysis and Probability BENCHMARK: (H) Use counting techniques, such as permutations and combinations, to determine the total number of options and possible outcomes TOPIC/UNIT: Chapter 11 Time Line:3 weeks Indicators: (8M4) Use scale drawings and right triangle trigonometry to solve problems that include unknown distances and angle measures. (8M5) Solve problems involving unit conversion for situations involving distances, areas, volumes and rates within the same measurement system. (8P7) Use symbolic algebra (equations and inequalities), graphs and tables to represent situations and solve problems. (8P16) Use graphing calculators or computers to analyze change; e.g., interest compounded over time as a nonlinear growth pattern. (8D10) Calculate the number of possible outcomes for a situation, recognizing and accounting for when items may occur more than

once or when order is important. (9N3) Explain the effects of operations such as multiplication or division, and of computing powers and roots on the magnitude of quantities. (9N5) Estimate the solutions for problem situations involving square and cube roots. (9G2) Apply proportions and right triangle trigonometric ratios to solve problems involving missing lengths and angle measures in similar figures. (9P3) Describe problem situations (linear, quadratic and exponential) by using tabular, graphical and symbolic representations. (9P7) Use formulas to solve problems involving exponential growth and decay. (9P15) Describe how a change in the value of a constant in a linear or quadratic equation affects the related graphs. KNOW

• Square roots • Exponents • Pythagorean Theorem • Area • 2D figures • Probability

DO • Find squares of numbers

and square roots of perfect squares

• Find length using the Pythagorean theorem

• Find the areas of parallelograms, triangles, trapezoids, circles, and complex figures

• Find probability using area models

• PRE-ASSESSMENT:

Prerequisite skills pg 469, 473, 477, 482, 485, 500


• pg 667-668 • Pg 473, #46-49 • Pg 477, #35-40 • Pg 482, #24-30 • Pg 485, #23-28 • Pg 486, #15-16 • Pg 492, #23-32 • Pg 495, #32-35 • Pg 500, #15-20

• Pg 503, #16-19 • Pg 507, #16








Countdown to OGT • OH30, OH31


RESOURCES: Parent and Student Study Gd 5 Minute Check Transparencies Key Teaching Transparencies Mid Chapter Test CRM pg 486 MathPASS Teaching Math w/Manipulatives Study Guide & Intervention CRM pg 609, 614, 619, 625, 629, 634, 639, 644 Practice Skills & Word Problems CRM pg 610, 615, 620, 625, 630, 635, 640, 645 Reading to Learn Math CRM Pg 612, 617, 622, 627, 632, 637, 642, 647 Enrichment CRM p 613, 618, 623, 628, 633, 638, 643, 648 Assessment CRM pg 663-665, 649-662, 664, 666-668


HISTORICAL/MODERN LINK: Physical Science 471 Archaeologist 480 Geography 490 Games 502

STANDARD: Measurement BENCHMARK: (C) Apply indirect measurement techniques, tools and formulas, as appropriate to find perimeter, circumference and area of circles, triangles, quadrilaterals and composite shapes, and to find volume of prisms, cylinders, and pyramids, (E) Estimate and compute various attributes, including length, angle measure, area, surface area and volume, to a specified level of precision STANDARD: Geometry and Spatial Sense BENCHMARK: (E) Draw and construct representations of two- and three-dimensional geometric objects using a variety of tools, such as straightedge, compass and technology STANDARD: Patterns, Functions, and Algebra BENCHMARK: (B) Identify and classify functions as linear or nonlinear, and contrast their properties using tables, graphs or equations, (D) Use algebraic representations, such as tables, graphs, expressions, functions and inequalities, to model and solve problem situations TOPIC/UNIT: Chapter 12 Time Line:2 weeks Indicators: (8M9) Demonstrate understanding of the concepts of perimeter, circumference and area by using established formulas for triangles, quadrilaterals, and circles to determine the surface area and volume of prisms, pyramids, cylinders, spheres and cones. (Note: Only volume should be calculated for spheres and cones.) (8M10) Use conventional formulas to find the surface area and volume of prisms, pyramids and cylinders and the volume of spheres and cones to a specified level of precision, (8G6) Draw nets for a variety of prisms, pyramids, cylinders and cones., (9P7) Use formulas to solve problems involving exponential growth and decay., (8P7) Use symbolic algebra (equations and inequalities), graphs and tables to represent situations and solve problems., (9P3) Describe problem situations (linear, quadratic and exponential) by using tabular, graphical and symbolic representations.

KNOW • 3D figures • Volume • Surface Area

DO • Draw 3D figures • Find the volumes of

rectangular prisms and cylinders

• Find the surface areas of rectangular prisms and cylinders

PRE-ASSESSMENT:

Prerequisite skills pg 511, 517, 522, 527, 535, 541


• pg 717-718 • Pg 517, #24-29 • Pg 522, #19-22 • Pg 528, #13-14 • Pg 535, #25-32 • Pg 541, #22-27 • Pg 545, # 25-33 • Pg 549, #16


• Msmath2.net/vocabulary_review

• Msmath2net./chapter_test Noteables Foldables pg 511 MathPASS: Tutorial Plus





Countdown to OGT • OH32

BEST PRACTICES: Foldables 511 Brainpops Cooperative Learning Interactive Chalkboard Peer Tutoring

RESOURCES: Parent and Student Study Gd 5 Minute Check Transparencies Key Teaching Transparencies Mid Chapter Test CRM pg 528 MathPASS Teaching Math w/Manipulatives Study Guide & Intervention CRM pg 669, 674, 679, 684, 689, 694 Practice Skills & Word Problems CRM pg 670, 675, 680, 685, 690, 695 Reading to Learn Math CRM Pg 672, 677, 682, 687, 692, 697 Enrichment CRM p 673, 678, 683, 688, 693, 698 Assessment CRM pg 713, 715, 714, 699-712, 716-718


HISTORICAL/MODERN LINK: Gifts 533 Graphic Designer 539

Documents

9th Grade Math Special Education Course of Study of Contents 1. Findlay City Schools Mission Statement 2. 9th Grade Math Curriculum Map 3. 9th Grade Math Indicators 9th Grade Math