Tennessee Standards Alignment Grades Three through Twelve

Transcription

1 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 Phone: (800) Fax: (715)

2 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 Grade Grade Grade Grade Grade Geometry...33 Algebra 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

3 P.O. Box 8036 Wisconsin Rapids, WI Phone: (800) Fax: (715) 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) Sincerely, Renaissance Sales and Funding Staff iii

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5 Grade 3 Tennessee, Math, 2008, Grade 3, TN SPI Mathematical Processes TN SPI *Solve problems using a calendar. TN SPI *Solve problems involving elapsed time. TN SPI *Determine the correct change from a transaction less than a dollar. TN SPI *Match the spoken, written, concrete, and pictorial representations of fractions with denominators up to ten. Skill Determine a pictorial model of a fraction of a whole Skill Determine a pictorial model of a fraction of a set of objects TN SPI *Represent problems mathematically using diagrams, numbers, and symbolic expressions. TN SPI *Identify and use vocabulary to describe attributes of two- and three-dimensional shapes. Skill Identify a fraction represented by a point on a number line Skill Locate a fraction on a number line Skill Determine the common attributes in a set of geometric shapes TN SPI *Select appropriate units and tools to solve problems involving measures. TN SPI *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 Use a bar graph with a y- axis scale by 2s to represent data TN SPI Number and Operations TN SPI *Read and write numbers up to 10,000 in numerals and up to 1,000 in words. TN SPI *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

6 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 *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 *Compare and order numbers up to 10,000 using the words less than, greater than, and equal to, and the symbols <, >, =. TN SPI *Identify various representations of multiplication and division. TN SPI *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 *Compute multiplication problems that involve multiples of ten using basic number facts. TN SPI *Solve problems that involve the inverse relationship between multiplication and division. TN SPI *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 Know basic division facts to Skill WP: Divide using basic facts to Skill 64 - WP: Add two 3-digit numbers without regrouping Page 2 of 43

7 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 *Identify equivalent fractions given by various representations. TN SPI *Recognize and use different interpretations of fractions. TN SPI *Name fractions in various contexts that are less than, equal to, or greater than one. regrouping Skill Identify equivalent fractions using models Skill Identify a fraction equivalent to a given fraction TN SPI *Recognize, compare, and order fractions (benchmark fractions, common numerators, or common denominators). TN SPI *Add and subtract fractions with like denominators. Skill Determine a pictorial model of a fraction of a whole Skill Determine a pictorial model of a fraction of a set of objects Skill Identify a fraction represented by a point on a number line Skill Locate a fraction on a number line Skill Compare fractions with unlike denominators Skill Order fractions with unlike denominators in ascending or descending order Skill Add fractions with like 1- digit denominators Skill WP: Add fractions with like denominators no greater than 10 and simplify the sum Skill Subtract fractions with like 1-digit denominators Skill WP: Subtract fractions with like denominators no greater than 10 Skill WP: Subtract fractions with like denominators no greater than 10 and simplify the difference Page 3 of 43

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

9 Grade 3 Tennessee, Math, 2008, Grade 3, Skill Determine the perimeter of a square Skill WP: Determine the TN SPI *Choose reasonable units of measure, estimate common measurements using benchmarks, and use appropriate tools to make measurements. TN SPI *Measure length to the nearest centimeter or half inch. perimeter of a rectangle Skill Estimate the height or length of a common object in customary units Skill Estimate the height of a common object in metric units TN SPI *Solve problems requiring the addition and subtraction of lengths. TN SPI Data Analysis, Statistics, and Probability TN SPI *Interpret a frequency table, bar graph, pictograph, or line plot. TN SPI *Solve problems in which data is represented in tables or graph. TN SPI *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 Read a simple pictograph Skill Read a table Skill Read a bar graph Skill Read a line plot Skill Answer a question using information from a pictograph (1 symbol = more than 1 object) Skill Answer a question using information from a table Skill Answer a question using information from a bar graph Skill Answer a question using information from a line plot Page 5 of 43

10 Grade 4 Tennessee, Math, 2008, Grade 4, TN SPI Mathematical Processes TN SPI *Verify a conclusion using the commutative, associative and distributive properties. TN SPI *Compare decimals using concrete and pictorial representations. TN SPI *Determine the correct change from a transaction. TN SPI *Compare objects with respect to a given geometric or physical attribute and select appropriate measurement instrument. Skill Determine the decimal number from a pictorial model of tenths or hundredths Skill Identify a pictorial model of tenths or hundredths of a decimal number Skill Identify a decimal number to tenths represented by a point on a number line Skill WP: Determine the amount of change from whole dollar amounts TN SPI Number and Operations TN SPI *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 *Locate and place mixed numbers on the number line. TN SPI *Identify the place value of a specified digit in a number and the quantity it represents. TN SPI *Find factors, common factors, multiples, and common multiples of two numbers. Skill Read a decimal number through the hundredths place Skill Locate a mixed number on a number line Skill Determine the decimal number from a pictorial model of tenths or hundredths Skill Identify a pictorial model of tenths or hundredths of a decimal number Skill Identify the place of a digit in a decimal number through hundredths Skill Identify the prime factors of a 2-digit number Skill Determine the greatest common factor of two whole numbers Page 6 of 43

11 Grade 4 Tennessee, Math, 2008, Grade 4, Skill Determine the least common multiple of two whole TN SPI *Generate equivalent forms of common fractions and decimals and use them to compare size. TN SPI *Use the symbols <, > and = to compare common fractions and decimals in both increasing and decreasing order. numbers Skill Identify a fraction equivalent to a given fraction Skill Determine the fraction equivalent to a decimal number model Skill Determine the decimal number equivalent to a fraction model Skill Compare numbers in decimal and fractional forms Skill Compare fractions with unlike denominators TN SPI *Convert improper fractions into mixed numbers and/or decimals. TN SPI *Add and subtract proper fractions with like and unlike denominators and simplify the answer. Page 7 of 43 Skill Order fractions with unlike denominators in ascending or descending order Skill Compare decimal numbers through the hundredths place Skill Order decimal numbers through the hundredths place Skill Convert a mixed number to an improper fraction Skill Convert an improper fraction to a mixed number Skill Add fractions with like 1- digit denominators Skill Subtract fractions with like 1-digit denominators Skill Add fractions with unlike denominators that have factors in common and simplify the sum Skill Add fractions with unlike 1- digit denominators Skill Add fractions with unlike denominators that have no factors in common Skill Subtract fractions with unlike denominators that have factors in common and simplify the difference

12 Grade 4 Tennessee, Math, 2008, Grade 4, Skill Subtract fractions with unlike 1-digit denominators Skill Subtract fractions with unlike denominators that have no TN SPI *Add and subtract decimals through hundredths. factors in common Skill Determine money amounts that total $10 TN SPI *Solve contextual problems using whole numbers, fractions, and decimals. Skill Determine the sum of a whole number and a decimal number to hundredths Skill 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 WP: Multiply whole numbers Skill WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Skill WP: Solve a 2-step whole number problem using more than one operation Skill WP: Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient Skill WP: Divide whole numbers with no remainder in the quotient Skill WP: Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient Skill WP: Divide a 2- or 3- digit whole number by a 1-digit whole number with a remainder in the quotient Skill WP: Solve a 2-step problem involving whole numbers

13 Grade 4 Tennessee, Math, 2008, Grade 4, Skill WP: Add fractions with like denominators no greater than 10 and simplify the sum Skill WP: Subtract fractions with like denominators no greater than 10 Skill WP: Subtract fractions with like denominators no greater than 10 and simplify the difference Skill WP: Add fractions with like denominators and simplify the sum Skill WP: Subtract fractions with like denominators and simplify the difference Skill WP: Add fractions with unlike 1-digit denominators Skill WP: Subtract fractions TN SPI *Solve problems using whole number multi-digit multiplication. TN SPI *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 WP: Multiply whole numbers Skill Divide a 2- or 3-digit whole number by a 1-digit whole number with a remainder in the quotient Skill WP: Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient TN SPI Algebra TN SPI *Use letters and symbols to represent an unknown quantity and write a simple mathematical expression. TN SPI *Make generalizations about geometric and numeric patterns. Page 9 of 43 Skill WP: Divide a 2- or 3- digit whole number by a 1-digit whole number with a remainder in the quotient Skill Divide a multi-digit whole number by a 2-digit whole number, with a remainder and at least one zero in the quotient Skill Divide a multi-digit whole number by a 2-digit whole number and express the quotient as a mixed number Skill Determine a missing addend in a number sentence involving 2-digit numbers Skill Determine the rule for an addition or subtraction number pattern

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

15 Grade 4 Tennessee, Math, 2008, Grade 4, Skill Classify an obtuse angle or an acute angle given a picture TN SPI *Identify attributes of simple and compound figures composed of 2- and 3- dimensional shapes. TN SPI *Determine situations in which a highly accurate measurement is important. Skill Classify an angle given its measure Skill Identify a common solid shape TN SPI *Determine appropriate size of unit of measurement in problem situations involving length, capacity or weight. TN SPI *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 Convert between inches, feet, and yards TN SPI *Solve problems involving area and/or perimeter of rectangular figures. Skill Convert between customary units of capacity Skill Convert within metric units of mass, length, and capacity Skill Determine the perimeter of a rectangle given a picture showing length and width Skill Determine the perimeter of a square Skill WP: Determine the perimeter of a rectangle Skill Determine the missing side length of a rectangle given a side length and the perimeter Skill Determine the area of a square Skill Determine the area of a rectangle given the length and width Skill WP: Determine the area of a rectangle Skill Determine the missing side length of a rectangle given a side length and the area Skill WP: Determine the area of a square or rectangle Page 11 of 43

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

17 Grade 5 Tennessee, Math, 2008, Grade 5, TN SPI Mathematical Processes TN SPI *Given a series of geometric statements, draw a conclusion about the figure described. TN SPI *Estimate fraction and decimal sums or differences. Skill Estimate the sum of mixed numbers Skill Estimate the sum of fractions with unlike 1-digit denominators Skill Estimate the difference between fractions with unlike 1-digit denominators Skill Estimate the difference between mixed numbers with unlike denominators Skill Estimate the sum of a whole number and a decimal number TN SPI *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 Estimate the sum of two decimal numbers Skill WP: Estimate the sum or difference of two decimal numbers through thousandths using any method Skill Estimate the sum of two decimal numbers through thousandths and less than 1 by rounding to a specified place Skill Estimate the difference of two decimal numbers Skill Estimate the difference of two decimal numbers through thousandths and less than 1 by rounding to a specified place Skill Estimate the difference of a whole number and a decimal number Skill WP: Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient Skill 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

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

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

20 Grade 5 Tennessee, Math, 2008, Grade 5, TN SPI *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 *Record measurements in context to reasonable degree of accuracy using decimals and/or fractions. TN SPI Data, Probability and Statistics TN SPI *Depict data using Domain 4 - Data Analysis, various representations, including Statistics, and Probability (SP) decimal and/or fractional data. Skill Determine the surface area of a rectangular prism Skill WP: Find the surface area of a rectangular prism Skill Use a line graph to represent data TN SPI *Make predictions based on various data representations, including double bar and line graphs. TN SPI *Calculate measures of central tendency to analyze data. Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill Use a double-bar graph to represent data Skill Determine the mean of a set of whole number data Skill Determine the median of an odd number of data values Skill Determine the median of an even number of data values Page 16 of 43

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

22 Grade 6 Tennessee, Math, 2008, Grade 6, TN SPI *Model algebraic expressions using algebra tiles. TN SPI Number & Operations TN SPI *Solve problems involving the multiplication and division of fractions. TN SPI *Solve problems involving the addition, subtraction, multiplication, and division of mixed numbers. TN SPI *Solve problems involving the addition, subtraction, multiplication, and division of decimals. Skill Multiply a fraction by a fraction Skill Determine the reciprocal of a positive whole number, a proper fraction, or an improper fraction Skill Divide a fraction by a fraction Skill Divide a whole number by a fraction resulting in a fractional quotient Skill Divide a fraction by a whole number resulting in a fractional quotient Skill WP: Multiply or divide a fraction by a fraction Skill Add mixed numbers with unlike denominators Skill WP: Add mixed numbers with unlike denominators Skill Subtract mixed numbers with unlike denominators Skill WP: Subtract mixed numbers with unlike denominators Skill Multiply a mixed number by a whole number Skill Multiply a mixed number by a fraction Skill WP: Multiply or divide two mixed numbers or a mixed number and a fraction Skill Multiply mixed numbers Skill Divide mixed numbers Skill Determine the sum of a whole number and a decimal number to hundredths Skill WP: Determine the sum of a decimal number and a whole number Skill Add two decimal numbers of differing places to thousandths Page 18 of 43

23 Grade 6 Tennessee, Math, 2008, Grade 6, Skill Add decimal numbers and whole numbers Skill Subtract two decimal numbers of differing places to thousandths Skill WP: Add or subtract decimal numbers through thousandths Skill WP: Add or subtract a decimal number through thousandths and a whole number Skill Subtract a decimal number from a whole number Skill WP: Subtract a decimal number from a whole number Skill Multiply a decimal number through thousandths by 10, 100, or 1,000 Skill Multiply a decimal number through thousandths by a whole number Skill WP: Multiply a decimal number through thousandths by a whole number Skill Multiply two decimal numbers Skill WP: Multiply two decimal numbers Skill Multiply decimal numbers less than one in hundredths or thousandths Skill Multiply decimal numbers greater than one where the product has 2 or 3 decimal places Skill Divide a decimal number by 10, 100, or 1,000 Skill Divide a decimal number through thousandths by a 1- or 2-digit whole number where the quotient has 2-5 decimal places Skill WP: Divide a decimal number through thousandths by a 1- or 2-digit whole number Skill 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

24 Grade 6 Tennessee, Math, 2008, Grade 6, Skill WP: Divide a whole number by a decimal number through thousandths, rounded quotient if needed Skill Divide a 1- to 3-digit whole number by a decimal number to tenths where the quotient is a decimal number to thousandths Skill Divide a 2- or 3-digit whole number by a decimal number to hundredths or thousandths, rounded quotient if needed TN SPI *Solve multi-step arithmetic problems using fractions, mixed numbers, and decimals. TN SPI *Transform numbers from one form to another (fractions, decimals, percents, and mixed numbers). Page 20 of 43 Skill Divide decimal numbers Skill WP: Divide a whole number by a decimal number Skill Divide a decimal number by a decimal number through thousandths, rounded quotient if needed Skill WP: Divide a decimal through thousandths by a decimal through thousandths, rounded quotient if needed Skill WP: Solve a 2-step problem involving fractions Skill WP: Solve a multi-step problem involving fractions or mixed numbers Skill WP: Solve a 2-step problem involving decimals Skill WP: Solve a multi-step problem involving decimal numbers Skill Convert a mixed number to an improper fraction Skill Convert an improper fraction to a mixed number Skill Convert a fraction or mixed number in hundredths or thousandths to a decimal number Skill Convert a decimal number in hundredths or thousandths to a fraction Skill Convert a decimal number to a percentage Skill Convert a percentage to its decimal equivalent

25 Grade 6 Tennessee, Math, 2008, Grade 6, Skill Convert a decimal number in thousandths to a percentage TN SPI *Solve problems involving ratios, rates and percents. Skill WP: Use a unit rate, with a whole number or whole cent value, to solve a problem Skill WP: Determine a unit rate with a whole number value Skill Determine if ratios are equivalent Skill WP: Determine a part given a ratio and the whole where the whole is less than 50 Skill WP: Determine the whole given a ratio and a part where the whole is less than 50 Skill Determine the percent a whole number is of another whole number Skill Determine a given percent of a number Skill Estimate a given percent of a number Skill Determine a whole number given a part and a percent Skill Estimate a whole number given a part and a percent Skill WP: Determine a unit rate Skill WP: Use a unit rate to solve a problem Skill WP: Determine a part, given part to whole ratio and the whole, where the whole is greater than 50 Skill WP: Determine a part, given part to part ratio and the whole, where the whole is greater than 50 Skill WP: Determine a part, given part to whole ratio and a part, where the whole is greater than 50 Skill WP: Determine a part, given part to part ratio and a part, where the whole is greater than 50 Skill WP: Determine the whole, given part to whole ratio and a part, where the whole is greater than 50 Page 21 of 43

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

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

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

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

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

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

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

33 Grade 7 Tennessee, Math, 2008, Grade 7, Skill Answer a question using information from a histogram Skill Answer a question using information from a circle graph using percentage calculations TN SPI *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 *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 Use a line graph to represent data Skill Use a circle graph to represent percentage data Skill Use a histogram to represent data Skill Determine the mean of a set of whole number data Skill Determine the median of an odd number of data values Skill Determine the median of an even number of data values Skill Determine the median of a set of data given a frequency table TN SPI *Use theoretical probability to make predictions. Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill Determine the probability of a single event Skill Determine the probability of independent events Page 29 of 43

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