Tennessee Standards Alignment Grades Three through Twelve

Tennessee Standards Alignment Grades Three through Twelve Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other countries. P.O. Box 8036 Wisconsin Rapids, WI 54495-8036 Phone: (800) 338-4204 Fax: (715) 424-4242 www.renlearn.com

Tennessee Standards Alignment Standards list with Aligned Product Skills The Standards list with Aligned Product Skills Report is a standards-oriented document showing the entire list of standards for the subject and grade on the left side of the report with the aligning product objectives on the right side. This alignment report shows the breadth of standards coverage for the purpose and focus of this product. Note to Educator... iii Grade 3...1 Grade 4...6 Grade 5...13 Grade 6...17 Grade 7...25 Grade 8...30 Geometry...33 Algebra 1...37 2011 by Renaissance Learning, Inc. All rights reserved. No portion of this document may be reproduced, by any process or technique, without the express written consent of Renaissance Learning, Inc. Any standards referenced in this document are the property of their respective copyright holders. ii

P.O. Box 8036 Wisconsin Rapids, WI 54495-8036 Phone: (800) 338-4204 Fax: (715) 424-4242 www.renlearn.com Note to Educator: Thank you for your interest in Renaissance Learning technology. The attached document contains the alignment between the software and/or instructional materials and the skills described in the state standards documentation. At Renaissance Learning, we recognize the impact that the standards-based reform movement and high-stakes standardized testing have on schools, and we share the concerns of educators and administrators that students perform well on high-stakes assessments. We hope this report answers your questions regarding the alignment of Renaissance Learning technology and materials to your state standards. If you have any questions about the attached document, please feel free to call us at (800) 338-4204. Sincerely, Renaissance Sales and Funding Staff iii

Grade 3 Tennessee, Math, 2008, Grade 3, TN SPI 0306.1 - Mathematical Processes TN SPI 0306.1.1 - *Solve problems using a calendar. TN SPI 0306.1.2 - *Solve problems involving elapsed time. TN SPI 0306.1.3 - *Determine the correct change from a transaction less than a dollar. TN SPI 0306.1.4 - *Match the spoken, written, concrete, and pictorial representations of fractions with denominators up to ten. Skill 122 - Determine a pictorial model of a fraction of a whole Skill 123 - Determine a pictorial model of a fraction of a set of objects TN SPI 0306.1.5 - *Represent problems mathematically using diagrams, numbers, and symbolic expressions. TN SPI 0306.1.6 - *Identify and use vocabulary to describe attributes of two- and three-dimensional shapes. Skill 124 - Identify a fraction represented by a point on a number line Skill 125 - Locate a fraction on a number line Skill 416 - Determine the common attributes in a set of geometric shapes TN SPI 0306.1.7 - *Select appropriate units and tools to solve problems involving measures. TN SPI 0306.1.8 - *Express answers clearly in verbal, numerical, or graphical (bar and picture) form, using units when appropriate. Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill 543 - Use a bar graph with a y- axis scale by 2s to represent data TN SPI 0306.2 - Number and Operations TN SPI 0306.2.1 - *Read and write numbers up to 10,000 in numerals and up to 1,000 in words. TN SPI 0306.2.2 - *Identify the place value of numbers in the tenthousands, thousands, hundreds, tens, and ones positions. Page 1 of 43 Skill 22 - Relate a whole number to the word form of the number to 100 Skill 30 - Relate a 3-digit whole number to its word form Skill 25 - Identify the place of a digit in a 3-digit number Skill 33 - Determine the value of a digit in a 4- or 5-digit whole number

Grade 3 Tennessee, Math, 2008, Grade 3, Skill 34 - Determine which digit is in a specified place in a 4- or 5-digit whole number Skill 35 - Represent a 4-digit whole number as thousands, hundreds, tens, and ones Skill 36 - Determine the 4-digit whole number represented in thousands, hundreds, tens, and ones TN SPI 0306.2.3 - *Convert between expanded and standard form with whole numbers to 10,000. Skill 37 - Represent a 4-digit whole number in expanded form TN SPI 0306.2.4 - *Compare and order numbers up to 10,000 using the words less than, greater than, and equal to, and the symbols <, >, =. TN SPI 0306.2.5 - *Identify various representations of multiplication and division. TN SPI 0306.2.6 - *Recall basic multiplication facts through 10 times10 and the related division facts. Skill 41 - Determine the 4- or 5-digit whole number represented in expanded form Skill 31 - Compare whole numbers to 1,000 using the symbols <, >, and = Skill 39 - Order 4-digit whole numbers in ascending or descending order Skill 93 - Apply the distributive property to multiply a multi-digit number by a 1-digit number Skill 87 - Know basic multiplication facts to 10 x 10 TN SPI 0306.2.7 - *Compute multiplication problems that involve multiples of ten using basic number facts. TN SPI 0306.2.8 - *Solve problems that involve the inverse relationship between multiplication and division. TN SPI 0306.2.9 - *Solve contextual problems involving the addition (with and without regrouping) and subtraction (without regrouping) of two- and three digit whole numbers. Skill 88 - WP: Multiply using basic facts to 10 x 10 Skill 104 - Know basic division facts to 100 10 Skill 105 - WP: Divide using basic facts to 100 10 Skill 64 - WP: Add two 3-digit numbers without regrouping Page 2 of 43

Grade 3 Tennessee, Math, 2008, Grade 3, Skill 65 - WP: Subtract a 3-digit number from a 3-digit number without regrouping Skill 71 - WP: Add a 2-digit number and a 1- or 2-digit number with TN SPI 0306.2.10 - *Identify equivalent fractions given by various representations. TN SPI 0306.2.11 - *Recognize and use different interpretations of fractions. TN SPI 0306.2.12 - *Name fractions in various contexts that are less than, equal to, or greater than one. regrouping Skill 128 - Identify equivalent fractions using models Skill 130 - Identify a fraction equivalent to a given fraction TN SPI 0306.2.13 - *Recognize, compare, and order fractions (benchmark fractions, common numerators, or common denominators). TN SPI 0306.2.14 - *Add and subtract fractions with like denominators. Skill 122 - Determine a pictorial model of a fraction of a whole Skill 123 - Determine a pictorial model of a fraction of a set of objects Skill 124 - Identify a fraction represented by a point on a number line Skill 125 - Locate a fraction on a number line Skill 131 - Compare fractions with unlike denominators Skill 132 - Order fractions with unlike denominators in ascending or descending order Skill 133 - Add fractions with like 1- digit denominators Skill 134 - WP: Add fractions with like denominators no greater than 10 and simplify the sum Skill 135 - Subtract fractions with like 1-digit denominators Skill 136 - WP: Subtract fractions with like denominators no greater than 10 Skill 137 - WP: Subtract fractions with like denominators no greater than 10 and simplify the difference Page 3 of 43

Grade 3 Tennessee, Math, 2008, Grade 3, TN SPI 0306.3 - Algebra TN SPI 0306.3.1 - *Verify a conclusion using algebraic properties. Skill 138 - WP: Add fractions with like denominators and simplify the sum Skill 139 - WP: Subtract fractions with like denominators and simplify the difference TN SPI 0306.3.2 - *Express mathematical relationships using number sentences/equations. TN SPI 0306.3.3 - *Find the missing values in simple multiplication and division equations. Skill 309 - Determine a rule that relates two variables Skill 316 - WP: Determine a multiplication or division sentence for a given situation Skill 317 - Use a division sentence to represent objects divided into equal groups TN SPI 0306.3.4 - *Describe or extend (including finding missing terms) geometric and numeric patterns. TN SPI 0306.4 - Geometry and Measurement TN SPI 0306.4.1 - *Recognize polygons and be able to identify examples based on geometric definitions. TN SPI 0306.4.2 - *Determine if two figures are congruent based on size and shape. TN SPI 0306.4.3 - *Identify the line of symmetry in a two-dimensional design or shape. TN SPI 0306.4.4 - *Calculate the perimeter of shapes made from polygons. Skill 306 - Identify a missing figure in a growing pictorial or nonnumeric pattern Skill 308 - Identify a missing term in a multiplication or a division number pattern Skill 429 - Identify a missing figure in a repeating pictorial or nonnumeric pattern Skill 481 - Determine lines of symmetry Skill 452 - Determine the perimeter of a triangle Skill 453 - Determine the perimeter of a rectangle given a picture showing length and width Page 4 of 43

Grade 3 Tennessee, Math, 2008, Grade 3, Skill 454 - Determine the perimeter of a square Skill 455 - WP: Determine the TN SPI 0306.4.5 - *Choose reasonable units of measure, estimate common measurements using benchmarks, and use appropriate tools to make measurements. TN SPI 0306.4.6 - *Measure length to the nearest centimeter or half inch. perimeter of a rectangle Skill 433 - Estimate the height or length of a common object in customary units Skill 434 - Estimate the height of a common object in metric units TN SPI 0306.4.7 - *Solve problems requiring the addition and subtraction of lengths. TN SPI 0306.5 - Data Analysis, Statistics, and Probability TN SPI 0306.5.1 - *Interpret a frequency table, bar graph, pictograph, or line plot. TN SPI 0306.5.2 - *Solve problems in which data is represented in tables or graph. TN SPI 0306.5.3 - *Make predictions based on various representations of data. Domain 4 - Data Analysis, Statistics, and Probability (SP) Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill 523 - Read a simple pictograph Skill 525 - Read a table Skill 527 - Read a bar graph Skill 530 - Read a line plot Skill 524 - Answer a question using information from a pictograph (1 symbol = more than 1 object) Skill 526 - Answer a question using information from a table Skill 528 - Answer a question using information from a bar graph Skill 531 - Answer a question using information from a line plot Page 5 of 43

Grade 4 Tennessee, Math, 2008, Grade 4, TN SPI 0406.1 - Mathematical Processes TN SPI 0406.1.1 - *Verify a conclusion using the commutative, associative and distributive properties. TN SPI 0406.1.2 - *Compare decimals using concrete and pictorial representations. TN SPI 0406.1.3 - *Determine the correct change from a transaction. TN SPI 0406.1.4 - *Compare objects with respect to a given geometric or physical attribute and select appropriate measurement instrument. Skill 168 - Determine the decimal number from a pictorial model of tenths or hundredths Skill 169 - Identify a pictorial model of tenths or hundredths of a decimal number Skill 170 - Identify a decimal number to tenths represented by a point on a number line Skill 186 - WP: Determine the amount of change from whole dollar amounts TN SPI 0406.2 - Number and Operations TN SPI 0406.2.1 - *Read and write numbers from hundredths to hundredthousands in numerals and in words. Skill 38 - Relate a 4- or 5-digit whole number to its word form TN SPI 0406.2.2 - *Locate and place mixed numbers on the number line. TN SPI 0406.2.3 - *Identify the place value of a specified digit in a number and the quantity it represents. TN SPI 0406.2.4 - *Find factors, common factors, multiples, and common multiples of two numbers. Skill 172 - Read a decimal number through the hundredths place Skill 129 - Locate a mixed number on a number line Skill 168 - Determine the decimal number from a pictorial model of tenths or hundredths Skill 169 - Identify a pictorial model of tenths or hundredths of a decimal number Skill 177 - Identify the place of a digit in a decimal number through hundredths Skill 142 - Identify the prime factors of a 2-digit number Skill 143 - Determine the greatest common factor of two whole numbers Page 6 of 43

Grade 4 Tennessee, Math, 2008, Grade 4, Skill 144 - Determine the least common multiple of two whole TN SPI 0406.2.5 - *Generate equivalent forms of common fractions and decimals and use them to compare size. TN SPI 0406.2.6 - *Use the symbols <, > and = to compare common fractions and decimals in both increasing and decreasing order. numbers Skill 130 - Identify a fraction equivalent to a given fraction Skill 163 - Determine the fraction equivalent to a decimal number model Skill 165 - Determine the decimal number equivalent to a fraction model Skill 167 - Compare numbers in decimal and fractional forms Skill 131 - Compare fractions with unlike denominators TN SPI 0406.2.7 - *Convert improper fractions into mixed numbers and/or decimals. TN SPI 0406.2.8 - *Add and subtract proper fractions with like and unlike denominators and simplify the answer. Page 7 of 43 Skill 132 - Order fractions with unlike denominators in ascending or descending order Skill 173 - Compare decimal numbers through the hundredths place Skill 174 - Order decimal numbers through the hundredths place Skill 161 - Convert a mixed number to an improper fraction Skill 162 - Convert an improper fraction to a mixed number Skill 133 - Add fractions with like 1- digit denominators Skill 135 - Subtract fractions with like 1-digit denominators Skill 145 - Add fractions with unlike denominators that have factors in common and simplify the sum Skill 146 - Add fractions with unlike 1- digit denominators Skill 148 - Add fractions with unlike denominators that have no factors in common Skill 152 - Subtract fractions with unlike denominators that have factors in common and simplify the difference

Grade 4 Tennessee, Math, 2008, Grade 4, Skill 153 - Subtract fractions with unlike 1-digit denominators Skill 155 - Subtract fractions with unlike denominators that have no TN SPI 0406.2.9 - *Add and subtract decimals through hundredths. factors in common Skill 187 - Determine money amounts that total $10 TN SPI 0406.2.10 - *Solve contextual problems using whole numbers, fractions, and decimals. Skill 188 - Determine the sum of a whole number and a decimal number to hundredths Skill 195 - Add decimal numbers and whole numbers Skill 83 - WP: Add 3- and 4-digit whole numbers with regrouping Skill 84 - WP: Subtract 3- and 4-digit whole numbers with regrouping Page 8 of 43 Skill 96 - WP: Multiply a 2-digit whole number by a 1- or 2-digit whole number Skill 98 - WP: Multiply a multi-digit whole number by a 1-digit whole number Skill 101 - WP: Multiply whole numbers Skill 107 - WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Skill 108 - WP: Solve a 2-step whole number problem using more than one operation Skill 109 - WP: Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient Skill 112 - WP: Divide whole numbers with no remainder in the quotient Skill 116 - WP: Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient Skill 117 - WP: Divide a 2- or 3- digit whole number by a 1-digit whole number with a remainder in the quotient Skill 120 - WP: Solve a 2-step problem involving whole numbers

Grade 4 Tennessee, Math, 2008, Grade 4, Skill 134 - WP: Add fractions with like denominators no greater than 10 and simplify the sum Skill 136 - WP: Subtract fractions with like denominators no greater than 10 Skill 137 - WP: Subtract fractions with like denominators no greater than 10 and simplify the difference Skill 138 - WP: Add fractions with like denominators and simplify the sum Skill 139 - WP: Subtract fractions with like denominators and simplify the difference Skill 147 - WP: Add fractions with unlike 1-digit denominators Skill 154 - WP: Subtract fractions TN SPI 0406.2.11 - *Solve problems using whole number multi-digit multiplication. TN SPI 0406.2.12 - *Solve problems using whole number division with oneor two-digit divisors. with unlike 1-digit denominators Skill 97 - Multiply a 2-digit whole number by a 2-digit whole number Skill 101 - WP: Multiply whole numbers Skill 115 - Divide a 2- or 3-digit whole number by a 1-digit whole number with a remainder in the quotient Skill 116 - WP: Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient TN SPI 0406.3 - Algebra TN SPI 0406.3.1 - *Use letters and symbols to represent an unknown quantity and write a simple mathematical expression. TN SPI 0406.3.2 - *Make generalizations about geometric and numeric patterns. Page 9 of 43 Skill 117 - WP: Divide a 2- or 3- digit whole number by a 1-digit whole number with a remainder in the quotient Skill 118 - Divide a multi-digit whole number by a 2-digit whole number, with a remainder and at least one zero in the quotient Skill 119 - Divide a multi-digit whole number by a 2-digit whole number and express the quotient as a mixed number Skill 339 - Determine a missing addend in a number sentence involving 2-digit numbers Skill 303 - Determine the rule for an addition or subtraction number pattern

Grade 4 Tennessee, Math, 2008, Grade 4, Skill 304 - Extend a number pattern involving addition Skill 305 - Extend a number pattern involving subtraction Skill 306 - Identify a missing figure in a growing pictorial or nonnumeric pattern Skill 308 - Identify a missing term in a multiplication or a division number pattern Skill 309 - Determine a rule that relates two variables Skill 317 - Use a division sentence to represent objects divided into equal TN SPI 0406.3.3 - *Represent and analyze patterns using words, function tables, and graphs. TN SPI 0406.4 - Geometry and Measurement TN SPI 0406.4.1 - *Classify lines and line segments as parallel, perpendicular, or intersecting. groups Skill 428 - Identify a missing figure in a geometric pattern Skill 429 - Identify a missing figure in a repeating pictorial or nonnumeric pattern Skill 303 - Determine the rule for an addition or subtraction number pattern Skill 307 - Generate a table of paired numbers based on a rule Skill 310 - Determine the variable expression with one operation for a table of paired numbers Skill 311 - WP: Determine the variable expression with one operation for a table of paired numbers Skill 419 - Identify parallel lines Skill 420 - Identify intersecting line segments Skill 426 - Identify perpendicular lines TN SPI 0406.4.2 - *Graph and interpret points with whole number or letter coordinates on grids or in the first quadrant of the coordinate plane. Skill 318 - Determine the ordered pair of a point in the first quadrant TN SPI 0406.4.3 - *Construct geometric figures with vertices at points on a coordinate grid. TN SPI 0406.4.4 - *Identify acute, obtuse, and right angles in 2- dimensional shapes. Page 10 of 43 Skill 421 - Classify a right angle or a straight angle given a picture

Grade 4 Tennessee, Math, 2008, Grade 4, Skill 422 - Classify an obtuse angle or an acute angle given a picture TN SPI 0406.4.5 - *Identify attributes of simple and compound figures composed of 2- and 3- dimensional shapes. TN SPI 0406.4.6 - *Determine situations in which a highly accurate measurement is important. Skill 423 - Classify an angle given its measure Skill 417 - Identify a common solid shape TN SPI 0406.4.7 - *Determine appropriate size of unit of measurement in problem situations involving length, capacity or weight. TN SPI 0406.4.8 - *Convert measurements within a single system that are common in daily life (e.g., hours and minutes, inches and feet, centimeters and meters, quarts and gallons, liters and milliliters). Skill 435 - Convert between inches, feet, and yards TN SPI 0406.4.9 - *Solve problems involving area and/or perimeter of rectangular figures. Skill 436 - Convert between customary units of capacity Skill 437 - Convert within metric units of mass, length, and capacity Skill 453 - Determine the perimeter of a rectangle given a picture showing length and width Skill 454 - Determine the perimeter of a square Skill 455 - WP: Determine the perimeter of a rectangle Skill 456 - Determine the missing side length of a rectangle given a side length and the perimeter Skill 460 - Determine the area of a square Skill 461 - Determine the area of a rectangle given the length and width Skill 462 - WP: Determine the area of a rectangle Skill 463 - Determine the missing side length of a rectangle given a side length and the area Skill 464 - WP: Determine the area of a square or rectangle Page 11 of 43

Grade 4 Tennessee, Math, 2008, Grade 4, TN SPI 0406.4.10 - *Identify images resulting from reflections, translations, or rotations. TN SPI 0406.5 - Data, Probability and Statistics TN SPI 0406.5.1 - *Depict data using various representations (e.g., tables, pictographs, line graphs, bar graphs). Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill 482 - Determine the result of a flip, a turn, or a slide Skill 542 - Use a pictograph to represent data (1 symbol = more than 1 object) Skill 543 - Use a bar graph with a y- axis scale by 2s to represent data TN SPI 0406.5.2 - *Solve problems using estimation and comparison within a single set of data. Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill 545 - Use a line graph to represent data Skill 546 - Use a double-bar graph to represent data Skill 524 - Answer a question using information from a pictograph (1 symbol = more than 1 object) Skill 526 - Answer a question using information from a table Skill 529 - Answer a question using information from a bar graph with a y- axis scale by 2s Skill 535 - Answer a question using information from a line graph Skill 537 - Answer a question using information from a double-bar graph TN SPI 0406.5.3 - *Given a set of data or a graph, describe the distribution of the data using median, range, or mode. TN SPI 0406.5.4 - *List all possible outcomes of a given situation or event. Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill 551 - Determine the median of an odd number of data values Skill 552 - Determine the median of an even number of data values Page 12 of 43

Grade 5 Tennessee, Math, 2008, Grade 5, TN SPI 0506.1 - Mathematical Processes TN SPI 0506.1.1 - *Given a series of geometric statements, draw a conclusion about the figure described. TN SPI 0506.1.2 - *Estimate fraction and decimal sums or differences. Skill 150 - Estimate the sum of mixed numbers Skill 158 - Estimate the sum of fractions with unlike 1-digit denominators Skill 159 - Estimate the difference between fractions with unlike 1-digit denominators Skill 160 - Estimate the difference between mixed numbers with unlike denominators Skill 190 - Estimate the sum of a whole number and a decimal number TN SPI 0506.1.3 - *Recognize the unit associated with the remainder in a division problem or the meaning of the fractional part of a whole given in either decimal or fraction form. Skill 191 - Estimate the sum of two decimal numbers Skill 193 - WP: Estimate the sum or difference of two decimal numbers through thousandths using any method Skill 194 - Estimate the sum of two decimal numbers through thousandths and less than 1 by rounding to a specified place Skill 199 - Estimate the difference of two decimal numbers Skill 200 - Estimate the difference of two decimal numbers through thousandths and less than 1 by rounding to a specified place Skill 203 - Estimate the difference of a whole number and a decimal number Skill 116 - WP: Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient Skill 117 - WP: Divide a 2- or 3- digit whole number by a 1-digit whole number with a remainder in the quotient Page 13 of 43

Grade 5 Tennessee, Math, 2008, Grade 5, TN SPI 0506.1.4 - *Identify missing information and/or too much information in contextual problems. Skill 119 - Divide a multi-digit whole number by a 2-digit whole number and express the quotient as a mixed number Skill 121 - WP: Divide a whole number and interpret the remainder TN SPI 0506.2 - Number and Operations TN SPI 0506.2.1 - *Read and write numbers from millions to millionths in various contexts. TN SPI 0506.2.2 - *Write the prime factorization of numbers through 50 using both exponential and standard notation. TN SPI 0506.2.3 - *Select a reasonable solution to a real-world division problem in which the remainder must be considered. TN SPI 0506.2.4 - *Solve problems involving the division of two- and three-digit whole numbers by oneand two-digit whole numbers. TN SPI 0506.2.5 - *Solve addition and subtraction problems involving both fractions and decimals. TN SPI 0506.2.6 - *Add and subtract proper and improper fractions as well as mixed numbers. Skill 116 - WP: Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient Skill 117 - WP: Divide a 2- or 3- digit whole number by a 1-digit whole number with a remainder in the quotient Skill 115 - Divide a 2- or 3-digit whole number by a 1-digit whole number with a remainder in the quotient Skill 140 - WP: Add mixed numbers with like denominators and simplify the sum TN SPI 0506.2.7 - *Recognize equivalent representations for the same number. Page 14 of 43 Skill 141 - WP: Subtract mixed numbers with like denominators and simplify the difference Skill 149 - Add mixed numbers with unlike denominators Skill 151 - WP: Add mixed numbers with unlike denominators Skill 156 - Subtract mixed numbers with unlike denominators Skill 157 - WP: Subtract mixed numbers with unlike denominators Skill 164 - Convert a fraction or mixed number in hundredths or thousandths to a decimal number

Grade 5 Tennessee, Math, 2008, Grade 5, TN SPI 0506.2.8 - *Write terminating decimals in the form of fractions or mixed numbers. TN SPI 0506.2.9 - *Compare whole numbers, decimals and fractions using the symbols <, >, and =. TN SPI 0506.3 - Algebra TN SPI 0506.3.1 - *Evaluate algebraic expressions involving decimals and fractions using order of operations. TN SPI 0506.3.2 - *Evaluate multistep numerical expressions involving fractions using order of operations. Skill 166 - Convert a decimal number in hundredths or thousandths to a fraction Skill 131 - Compare fractions with unlike denominators Skill 167 - Compare numbers in decimal and fractional forms Skill 173 - Compare decimal numbers through the hundredths place Skill 178 - Compare decimal numbers of differing places to thousandths TN SPI 0506.3.3 - *Find the unknown in single-step equations involving fractions and mixed numbers. Skill 341 - Solve a 1-step equation involving whole numbers TN SPI 0506.3.4 - *Given a set of values, identify those that make an inequality a true statement. TN SPI 0506.4 - Geometry and Measurement TN SPI 0506.4.1 - *Solve contextual problems that require calculating the area of triangles and parallelograms. TN SPI 0506.4.2 - *Decompose irregular shapes to find perimeter and area. TN SPI 0506.4.3 - *Identify a threedimensional object from twodimensional representations of that object and vice versa. TN SPI 0506.4.4 - *Solve problems involving surface area and volume of rectangular prisms and polyhedral solids. Skill 467 - WP: Determine the area of a triangle Skill 457 - WP: Determine the perimeter or the area of a complex shape Skill 469 - Determine the area of a complex shape Skill 487 - Determine the volume of a rectangular prism Skill 488 - WP: Determine the volume of a rectangular prism Page 15 of 43

Grade 5 Tennessee, Math, 2008, Grade 5, TN SPI 0506.4.5 - *Find the length of vertical or horizontal line segments in the first quadrant of the coordinate system, including problems that require the use of fractions and decimals. TN SPI 0506.4.6 - *Record measurements in context to reasonable degree of accuracy using decimals and/or fractions. TN SPI 0506.5 - Data, Probability and Statistics TN SPI 0506.5.1 - *Depict data using Domain 4 - Data Analysis, various representations, including Statistics, and Probability (SP) decimal and/or fractional data. Skill 489 - Determine the surface area of a rectangular prism Skill 490 - WP: Find the surface area of a rectangular prism Skill 545 - Use a line graph to represent data TN SPI 0506.5.2 - *Make predictions based on various data representations, including double bar and line graphs. TN SPI 0506.5.3 - *Calculate measures of central tendency to analyze data. Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill 546 - Use a double-bar graph to represent data Skill 550 - Determine the mean of a set of whole number data Skill 551 - Determine the median of an odd number of data values Skill 552 - Determine the median of an even number of data values Page 16 of 43

Grade 6 Tennessee, Math, 2008, Grade 6, TN SPI 0606.1 - Mathematical Processes TN SPI 0606.1.1 - *Make conjectures and predictions based on data. TN SPI 0606.1.2 - *Judge the reasonableness of the results of rational number estimates and/or computations. TN SPI 0606.1.3 - *Use concrete, pictorial, and symbolic representation for integers. TN SPI 0606.1.4 - *Select the representation that models one of the arithmetic properties (commutative, associative, or distributive). Page 17 of 43 Skill 150 - Estimate the sum of mixed numbers Skill 158 - Estimate the sum of fractions with unlike 1-digit denominators Skill 159 - Estimate the difference between fractions with unlike 1-digit denominators Skill 160 - Estimate the difference between mixed numbers with unlike denominators Skill 190 - Estimate the sum of a whole number and a decimal number Skill 191 - Estimate the sum of two decimal numbers Skill 193 - WP: Estimate the sum or difference of two decimal numbers through thousandths using any method Skill 194 - Estimate the sum of two decimal numbers through thousandths and less than 1 by rounding to a specified place Skill 199 - Estimate the difference of two decimal numbers Skill 200 - Estimate the difference of two decimal numbers through thousandths and less than 1 by rounding to a specified place Skill 203 - Estimate the difference of a whole number and a decimal number Skill 223 - WP: Estimate the product of two decimals Skill 239 - WP: Estimate the quotient of two decimals

Grade 6 Tennessee, Math, 2008, Grade 6, TN SPI 0606.1.5 - *Model algebraic expressions using algebra tiles. TN SPI 0606.2 - Number & Operations TN SPI 0606.2.1 - *Solve problems involving the multiplication and division of fractions. TN SPI 0606.2.2 - *Solve problems involving the addition, subtraction, multiplication, and division of mixed numbers. TN SPI 0606.2.3 - *Solve problems involving the addition, subtraction, multiplication, and division of decimals. Skill 207 - Multiply a fraction by a fraction Skill 210 - Determine the reciprocal of a positive whole number, a proper fraction, or an improper fraction Skill 211 - Divide a fraction by a fraction Skill 212 - Divide a whole number by a fraction resulting in a fractional quotient Skill 214 - Divide a fraction by a whole number resulting in a fractional quotient Skill 215 - WP: Multiply or divide a fraction by a fraction Skill 149 - Add mixed numbers with unlike denominators Skill 151 - WP: Add mixed numbers with unlike denominators Skill 156 - Subtract mixed numbers with unlike denominators Skill 157 - WP: Subtract mixed numbers with unlike denominators Skill 208 - Multiply a mixed number by a whole number Skill 209 - Multiply a mixed number by a fraction Skill 213 - WP: Multiply or divide two mixed numbers or a mixed number and a fraction Skill 218 - Multiply mixed numbers Skill 219 - Divide mixed numbers Skill 188 - Determine the sum of a whole number and a decimal number to hundredths Skill 189 - WP: Determine the sum of a decimal number and a whole number Skill 192 - Add two decimal numbers of differing places to thousandths Page 18 of 43

Grade 6 Tennessee, Math, 2008, Grade 6, Skill 195 - Add decimal numbers and whole numbers Skill 196 - Subtract two decimal numbers of differing places to thousandths Skill 197 - WP: Add or subtract decimal numbers through thousandths Skill 198 - WP: Add or subtract a decimal number through thousandths and a whole number Skill 201 - Subtract a decimal number from a whole number Skill 202 - WP: Subtract a decimal number from a whole number Skill 220 - Multiply a decimal number through thousandths by 10, 100, or 1,000 Skill 221 - Multiply a decimal number through thousandths by a whole number Skill 222 - WP: Multiply a decimal number through thousandths by a whole number Skill 224 - Multiply two decimal numbers Skill 225 - WP: Multiply two decimal numbers Skill 226 - Multiply decimal numbers less than one in hundredths or thousandths Skill 227 - Multiply decimal numbers greater than one where the product has 2 or 3 decimal places Skill 228 - Divide a decimal number by 10, 100, or 1,000 Skill 229 - Divide a decimal number through thousandths by a 1- or 2-digit whole number where the quotient has 2-5 decimal places Skill 230 - WP: Divide a decimal number through thousandths by a 1- or 2-digit whole number Skill 231 - Divide a 1- to 3-digit whole number by a decimal number to tenths where the quotient is a whole number Page 19 of 43

Grade 6 Tennessee, Math, 2008, Grade 6, Skill 232 - WP: Divide a whole number by a decimal number through thousandths, rounded quotient if needed Skill 233 - Divide a 1- to 3-digit whole number by a decimal number to tenths where the quotient is a decimal number to thousandths Skill 234 - Divide a 2- or 3-digit whole number by a decimal number to hundredths or thousandths, rounded quotient if needed TN SPI 0606.2.4 - *Solve multi-step arithmetic problems using fractions, mixed numbers, and decimals. TN SPI 0606.2.5 - *Transform numbers from one form to another (fractions, decimals, percents, and mixed numbers). Page 20 of 43 Skill 235 - Divide decimal numbers Skill 236 - WP: Divide a whole number by a decimal number Skill 237 - Divide a decimal number by a decimal number through thousandths, rounded quotient if needed Skill 238 - WP: Divide a decimal through thousandths by a decimal through thousandths, rounded quotient if needed Skill 216 - WP: Solve a 2-step problem involving fractions Skill 217 - WP: Solve a multi-step problem involving fractions or mixed numbers Skill 240 - WP: Solve a 2-step problem involving decimals Skill 241 - WP: Solve a multi-step problem involving decimal numbers Skill 161 - Convert a mixed number to an improper fraction Skill 162 - Convert an improper fraction to a mixed number Skill 164 - Convert a fraction or mixed number in hundredths or thousandths to a decimal number Skill 166 - Convert a decimal number in hundredths or thousandths to a fraction Skill 242 - Convert a decimal number to a percentage Skill 243 - Convert a percentage to its decimal equivalent

Grade 6 Tennessee, Math, 2008, Grade 6, Skill 244 - Convert a decimal number in thousandths to a percentage TN SPI 0606.2.6 - *Solve problems involving ratios, rates and percents. Skill 245 - WP: Use a unit rate, with a whole number or whole cent value, to solve a problem Skill 246 - WP: Determine a unit rate with a whole number value Skill 247 - Determine if ratios are equivalent Skill 249 - WP: Determine a part given a ratio and the whole where the whole is less than 50 Skill 250 - WP: Determine the whole given a ratio and a part where the whole is less than 50 Skill 253 - Determine the percent a whole number is of another whole number Skill 255 - Determine a given percent of a number Skill 256 - Estimate a given percent of a number Skill 257 - Determine a whole number given a part and a percent Skill 258 - Estimate a whole number given a part and a percent Skill 259 - WP: Determine a unit rate Skill 260 - WP: Use a unit rate to solve a problem Skill 261 - WP: Determine a part, given part to whole ratio and the whole, where the whole is greater than 50 Skill 262 - WP: Determine a part, given part to part ratio and the whole, where the whole is greater than 50 Skill 263 - WP: Determine a part, given part to whole ratio and a part, where the whole is greater than 50 Skill 264 - WP: Determine a part, given part to part ratio and a part, where the whole is greater than 50 Skill 265 - WP: Determine the whole, given part to whole ratio and a part, where the whole is greater than 50 Page 21 of 43

Grade 6 Tennessee, Math, 2008, Grade 6, Skill 266 - WP: Determine the whole, given part to part ratio and a part, where the whole is greater than 50 TN SPI 0606.2.7 - *Locate positive rational numbers on the number line. TN SPI 0606.2.8 - *Locate integers on the number line. TN SPI 0606.3 - Algebra TN SPI 0606.3.1 - *Represent on a number line the solution of a linear inequality. TN SPI 0606.3.2 - *Use order of operations and parentheses to simplify expressions and solve problems. TN SPI 0606.3.3 - *Write equations that correspond to given situations or represent a given mathematical relationship. TN SPI 0606.3.4 - *Rewrite expressions to represent quantities in different ways. TN SPI 0606.3.5 - *Translate between verbal expressions/sentences and algebraic expressions/equations. Skill 124 - Identify a fraction represented by a point on a number line Skill 125 - Locate a fraction on a number line Skill 129 - Locate a mixed number on a number line Skill 170 - Identify a decimal number to tenths represented by a point on a number line Skill 171 - Locate a decimal number to tenths on a number line Skill 182 - Estimate a decimal number from its position on a number line Skill 396 - Determine the graph of the solutions to a 2-step linear inequality in one variable Skill 406 - Relate a 1-variable inequality to its graph Skill 267 - Evaluate a numerical expression of four or more operations, with parentheses, using order of operations Skill 351 - WP: Use a 2-variable equation to represent a situation involving a direct proportion Skill 352 - WP: Use a 2-variable linear equation to represent a situation Skill 354 - Use a 2-variable equation to represent a relationship expressed in a table Skill 356 - WP: Use a 1-variable 1- step equation to represent a situation Skill 355 - Use a 1-variable, 1-step equation to represent a verbal statement Page 22 of 43

Grade 6 Tennessee, Math, 2008, Grade 6, TN SPI 0606.3.6 - *Solve two-step linear equations using number sense, properties, and inverse operations. Skill 340 - Determine the reciprocal of a negative rational number TN SPI 0606.3.7 - *Use algebraic expressions and properties to analyze numeric and geometric patterns. TN SPI 0606.3.8 - *Select the qualitative graph that models a contextual situation (e.g., water filling then draining from a bathtub). TN SPI 0606.3.9 - *Graph ordered pairs of integers in all four quadrants of the Cartesian coordinate system. Skill 341 - Solve a 1-step equation involving whole numbers Skill 343 - Solve a 2-step linear equation involving integers Skill 312 - WP: Generate a table of paired numbers based on a variable expression with one operation Skill 319 - Determine the ordered pair of a point in any quadrant TN SPI 0606.4 - Geometry & Measurement TN SPI 0606.4.1 - *Identify, define or describe geometric shapes given a visual representation or a written description of its properties. TN SPI 0606.4.2 - *Find a missing angle measure in problems involving interior/exterior angles and/or their sums. TN SPI 0606.4.3 - *Solve problems using the Triangle Inequality Theorem. TN SPI 0606.4.4 - *Calculate with circumferences and areas of circles. Skill 501 - Determine a missing angle measure in a triangle Skill 458 - Solve a problem involving the circumference of a circle TN SPI 0606.4.5 - *Determine the surface area and volume of prisms, pyramids and cylinders. Skill 473 - Determine the area of a circle Skill 488 - WP: Determine the volume of a rectangular prism Skill 489 - Determine the surface area of a rectangular prism Skill 490 - WP: Find the surface area of a rectangular prism Skill 491 - Determine the volume of a rectangular or a triangular prism Skill 493 - WP: Determine the surface area of a geometric solid Page 23 of 43

Grade 6 Tennessee, Math, 2008, Grade 6, TN SPI 0606.4.6 - *Given the volume of a cone/pyramid, find the volume of the related cylinder/prism or vice versa. TN SPI 0606.5 - Data Analysis, Statistics, & Probability TN SPI 0606.5.1 - *Determine the theoretical probability of simple and compound events in familiar contexts. TN SPI 0606.5.2 - *Identify features of graphs that may be misleading. TN SPI 0606.5.3 - *Determine whether or not a sample is biased. Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill 555 - Determine the probability of a single event Skill 556 - Determine the probability of independent events Page 24 of 43

Grade 7 Tennessee, Math, 2008, Grade 7, TN SPI 0706.1 - Mathematical Processes TN SPI 0706.1.1 - *Use proportional reasoning to solve mixture/concentration problems. TN SPI 0706.1.2 - *Generalize a variety of patterns to a symbolic rule from tables, graphs, or words. Skill 310 - Determine the variable expression with one operation for a table of paired numbers Skill 311 - WP: Determine the variable expression with one operation for a table of paired numbers Skill 313 - Determine the common difference in an arithmetic sequence TN SPI 0706.1.3 - *Recognize whether information given in a table, graph, or formula suggests a directly proportional, linear, inversely proportional, or other nonlinear relationship. TN SPI 0706.1.4 - *Use scales to read maps. TN SPI 0706.2 - Number & Operations TN SPI 0706.2.1 - *Simplify numerical expressions involving rational numbers. TN SPI 0706.2.2 - *Compare rational numbers using appropriate inequality symbols. TN SPI 0706.2.3 - *Use rational numbers and roots of perfect squares/cubes to solve contextual problems. Page 25 of 43 Skill 267 - Evaluate a numerical expression of four or more operations, with parentheses, using order of operations Skill 270 - Evaluate a numerical expression involving integer exponents and/or integer bases Skill 272 - Evaluate a numerical expression involving one or more exponents and multiple forms of rational numbers Skill 131 - Compare fractions with unlike denominators Skill 167 - Compare numbers in decimal and fractional forms Skill 178 - Compare decimal numbers of differing places to thousandths Skill 213 - WP: Multiply or divide two mixed numbers or a mixed number and a fraction Skill 215 - WP: Multiply or divide a fraction by a fraction Skill 216 - WP: Solve a 2-step problem involving fractions

Grade 7 Tennessee, Math, 2008, Grade 7, Skill 217 - WP: Solve a multi-step problem involving fractions or mixed numbers Skill 225 - WP: Multiply two decimal numbers Skill 230 - WP: Divide a decimal number through thousandths by a 1- or 2-digit whole number Skill 232 - WP: Divide a whole number by a decimal number through thousandths, rounded quotient if needed Skill 236 - WP: Divide a whole number by a decimal number Skill 238 - WP: Divide a decimal through thousandths by a decimal through thousandths, rounded quotient if needed Skill 240 - WP: Solve a 2-step problem involving decimals Skill 241 - WP: Solve a multi-step TN SPI 0706.2.4 - *Determine the approximate location of square/cube roots on a number line. problem involving decimal numbers Skill 287 - Approximate the location of a square root on a number line TN SPI 0706.2.5 - *Solve contextual problems that involve operations with integers. TN SPI 0706.2.6 - *Express the ratio between two quantities as a percent, and a percent as a ratio or fraction. Skill 278 - WP: Add and subtract using integers Skill 281 - WP: Multiply or divide integers TN SPI 0706.2.7 - *Use ratios and proportions to solve problems. Page 26 of 43 Skill 245 - WP: Use a unit rate, with a whole number or whole cent value, to solve a problem Skill 246 - WP: Determine a unit rate with a whole number value Skill 247 - Determine if ratios are equivalent Skill 248 - WP: Determine if ratios are equivalent Skill 249 - WP: Determine a part given a ratio and the whole where the whole is less than 50 Skill 250 - WP: Determine the whole given a ratio and a part where the whole is less than 50 Skill 251 - Solve a proportion involving whole numbers

Grade 7 Tennessee, Math, 2008, Grade 7, Skill 252 - WP: Solve a proportion Skill 259 - WP: Determine a unit rate Skill 260 - WP: Use a unit rate to solve a problem Skill 261 - WP: Determine a part, given part to whole ratio and the whole, where the whole is greater than 50 Skill 262 - WP: Determine a part, given part to part ratio and the whole, where the whole is greater than 50 Skill 263 - WP: Determine a part, given part to whole ratio and a part, where the whole is greater than 50 Skill 264 - WP: Determine a part, given part to part ratio and a part, where the whole is greater than 50 Skill 265 - WP: Determine the whole, given part to whole ratio and a part, where the whole is greater than 50 Skill 266 - WP: Determine the whole, given part to part ratio and a part, where the whole is greater than 50 TN SPI 0706.3 - Algebra TN SPI 0706.3.1 - *Evaluate algebraic expressions involving rational values for coefficients and/or variables. TN SPI 0706.3.2 - *Determine whether a relation (represented in various ways) is a function. TN SPI 0706.3.3 - *Given a table of inputs x and outputs f(x), identify the function rule and continue the pattern. Skill 331 - Evaluate a 2-variable expression, with two or three operations, using whole number substitution Skill 332 - WP: Evaluate a 1- or 2- variable expression or formula using whole numbers Skill 333 - Evaluate a 2-variable expression, with two or three operations, using integer substitution Skill 310 - Determine the variable expression with one operation for a table of paired numbers Skill 311 - WP: Determine the variable expression with one operation for a table of paired numbers Page 27 of 43

Grade 7 Tennessee, Math, 2008, Grade 7, TN SPI 0706.3.4 - *Interpret the slope of a line as a unit rate given the graph of a proportional relationship. Skill 367 - WP: Interpret the meaning of the slope of a graphed line TN SPI 0706.3.5 - *Represent proportional relationships with equations, tables and graphs. TN SPI 0706.3.6 - *Solve linear equations with rational coefficients symbolically or graphically. TN SPI 0706.3.7 - *Translate between verbal and symbolic representations of real-world phenomena involving linear equations. TN SPI 0706.3.8 - *Solve contextual problems involving two-step linear equations. TN SPI 0706.3.9 - *Solve linear inequalities in one variable with rational coefficients symbolically or graphically. TN SPI 0706.4 - Geometry & Measurement TN SPI 0706.4.1 - *Solve contextual problems involving similar triangles. Skill 351 - WP: Use a 2-variable equation to represent a situation involving a direct proportion Skill 345 - Solve a 1-step equation involving rational numbers Skill 346 - Solve a 2-step equation involving rational numbers Skill 359 - WP: Use a 1-variable equation with rational coefficients to represent a situation involving two operations Skill 360 - WP: Use a 2-variable equation with rational coefficients to represent a situation Skill 347 - WP: Solve a problem involving a 1-variable, 2-step equation Skill 393 - Determine the solution set of a 1-variable linear inequality Skill 394 - Solve a 2-step linear inequality in one variable Skill 396 - Determine the graph of the solutions to a 2-step linear inequality in one variable Skill 397 - Solve a 1-variable linear inequality with the variable on both sides Skill 500 - WP: Solve a problem involving similar shapes TN SPI 0706.4.2 - *Use SSS, SAS, and AA to determine if two triangles are similar. TN SPI 0706.4.3 - *Apply scale factor to solve problems involving area and volume. TN SPI 0706.5 - Data Analysis, Statistics, & Probability TN SPI 0706.5.1 - *Interpret and employ various graphs and charts to represent data. Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill 535 - Answer a question using information from a line graph Page 28 of 43

Grade 7 Tennessee, Math, 2008, Grade 7, Skill 538 - Answer a question using information from a histogram Skill 540 - Answer a question using information from a circle graph using percentage calculations TN SPI 0706.5.2 - *Select suitable graph types (such as bar graphs, histograms, line graphs, circle graphs, box-and-whisker plots, and stem-and-leaf plots) and use them to create accurate representations of given data. TN SPI 0706.5.3 - *Calculate and interpret the mean, median, upperquartile, lower-quartile, and interquartile range of a set of data. Domain 4 - Data Analysis, Statistics, and Probability (SP) Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill 545 - Use a line graph to represent data Skill 547 - Use a circle graph to represent percentage data Skill 548 - Use a histogram to represent data Skill 550 - Determine the mean of a set of whole number data Skill 551 - Determine the median of an odd number of data values Skill 552 - Determine the median of an even number of data values Skill 553 - Determine the median of a set of data given a frequency table TN SPI 0706.5.4 - *Use theoretical probability to make predictions. Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill 555 - Determine the probability of a single event Skill 556 - Determine the probability of independent events Page 29 of 43

Grade 8 Tennessee, Math, 2008, Grade 8, TN SPI 0806.1 - Mathematical Processes TN SPI 0806.1.1 - *Solve problems involving rate/time/distance (i.e., d = rt). TN SPI 0806.1.2 - *Interpret a qualitative graph representing a contextual situation. Skill 367 - WP: Interpret the meaning of the slope of a graphed line Skill 368 - WP: Interpret the meaning of the y-intercept of a graphed line TN SPI 0806.1.3 - *Calculates rates involving cost per unit to determine the best buy. TN SPI 0806.2 - Number & Operations TN SPI 0806.2.1 - *Order and compare rational and irrational numbers and locate on the number line. TN SPI 0806.2.2 - *Identify numbers and square roots as rational or irrational. TN SPI 0806.2.3 - *Use scientific notation to compute products and quotients. TN SPI 0806.2.4 - *Solve real-world problems requiring scientific notation. TN SPI 0806.3 - Algebra TN SPI 0806.3.1 - *Find solutions to systems of two linear equations in two variables. TN SPI 0806.3.2 - *Solve the linear equation f(x) = g(x). TN SPI 0806.3.3 - *Solve and graph linear inequalities in two variables. TN SPI 0806.3.4 - *Translate between various representations of a linear function. Page 30 of 43 Skill 167 - Compare numbers in decimal and fractional forms Skill 287 - Approximate the location of a square root on a number line Skill 373 - Solve a system of linear equations in two variables using any method Skill 348 - Solve a 1-variable linear equation with the variable on both sides Skill 322 - Determine the graph of a 2-operation linear function Skill 353 - Use a 2-variable equation to construct an input-output table Skill 354 - Use a 2-variable equation to represent a relationship expressed in a table