Tennessee Standards Alignment Kindergarten through Grade Twelve
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- Blaise Mills
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1 Tennessee Standards Alignment Kindergarten through Grade 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 Kindergarten...1 Grade Grade Grade Grade Grade Grade Grade Grade Algebra Greometry 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 Tennessee, Math, 2008, Kindergarten, Curriculum Standards, State Kindergarten TN Mathematical Processes TN GLE Use mathematical language, symbols, and definitions while developing mathematical reasoning. TN GLE Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. TN GLE Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas. TN GLE Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution strategies. TN GLE Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. TN GLE Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely. TN GLE Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world. TN GLE Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and reliable models of mathematical concepts. TN Number and Operations Page 1 of 61
6 Tennessee, Math, 2008, Kindergarten, Curriculum Standards, State Kindergarten TN GLE Count objects in Skill 1 - Count objects to 20 a set and use numbers, including written numerals to 25. TN GLE Create, represent and recognize a set with a given number of objects. TN GLE Recognize, compare and order sets of numerals by using both cardinal and ordinal meanings. TN GLE Understand addition as putting together and subtraction as breaking apart. Skill 5 - Answer a question involving an ordinal number up to "tenth" Skill 47 - Determine equivalent forms of a number, up to 10 Skill 48 - Determine the missing portion in a partially screened (hidden) collection of up to 10 objects TN GLE Model the numbers 1 through 10 as sums or differences of different sets of whole numbers (composing and decomposing numbers). TN Algebra TN GLE Identify, duplicate, and extend simple number patterns and sequential and growing patterns. TN GLE Recognize attributes (such as color, shape, size) and patterns (such as repeated pairs, bilateral symmetry). Domain 3 - Geometry and Measurement (GM) Skill 47 - Determine equivalent forms of a number, up to 10 Skill 2 - Complete a sequence of numbers to 10 Skill Identify a shape with given attributes Skill Identify a line of symmetry TN GLE Describe qualitative change. TN Geometry and Measurement TN GLE Interpret and describe the physical world with geometric ideas and vocabulary. TN GLE Use positional terms to specify locations with simple relationships. TN GLE Compare and order measurable attributes of objects directly (by comparing them with each other) and indirectly (by comparing both with a third object). Domain 3 - Geometry and Measurement (GM) Skill Use basic terms to describe position Page 2 of 61
7 Tennessee, Math, 2008, Kindergarten, Curriculum Standards, State Kindergarten TN Data, Probability and Statistics TN GLE Sort objects and use one or more attributes to solve problems. TN GLE Re-sort objects using new attributes. Page 3 of 61
8 Grade 1 Tennessee, Math, 2008, Grade 1, TN Mathematical Processes TN GLE Use mathematical language, symbols, and definitions while developing mathematical reasoning. TN GLE Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. TN GLE Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas. TN GLE Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution strategies. TN GLE Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. TN GLE Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely. TN GLE Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world. TN GLE Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and reliable models of mathematical concepts. TN Number and Operations TN GLE Understand and use number notation and place value to 100. Page 4 of 61 Skill 19 - Determine the value of a digit in a 2-digit number
9 Grade 1 Tennessee, Math, 2008, Grade 1, Skill 20 - Represent a 2-digit number as tens and ones Skill 21 - Determine the 2-digit number represented as tens and TN GLE Compare and order whole numbers to 100. TN GLE Develop strategies for learning basic addition facts and related subtraction facts. ones Skill 23 - Compare whole numbers to 100 using words Skill 24 - Order whole numbers to 100 in ascending order Skill 49 - Know basic addition facts to 10 plus 10 TN GLE Use multiple representations (including groups of ten) to model two-digit addition and subtraction. TN Algebra TN GLE Identify, describe, and extend simple number patterns to develop strategies for adding and subtracting whole numbers. TN GLE Understand that addition and subtraction are inverse operations. TN GLE Extend the strategies for basic facts to include other properties of number and operations. TN Geometry and Measurement TN GLE Recognize, Domain 3 - Geometry and describe, and draw geometric figures. Measurement (GM) Skill 50 - Know basic subtraction facts to 20 minus 10 Skill 51 - WP: Use basic addition facts to solve problems Skill 52 - WP: Use basic subtraction facts to solve problems Skill 3 - Count on by ones from a number less than 100 Skill 4 - Count back by ones from a number less than 20 Skill Identify a circle, a triangle, a square, or a rectangle TN GLE Compose and decompose geometric shapes. TN GLE Use non-standard units in linear measurement. TN Data, Probability and Statistics Page 5 of 61
10 Grade 1 Tennessee, Math, 2008, Grade 1, TN GLE Use various representations to display and compare data. Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill Read a tally chart Skill Read a 2-category tally chart Skill Answer a question using information from a 2-category tally chart Skill Read a simple pictograph Skill Use a 2-category tally chart to represent groups of objects (1 symbol = 1 object) Page 6 of 61
11 Grade 2 Tennessee, Math, 2008, Grade 2, TN Mathematical Processes TN GLE Use mathematical language, symbols, and definitions while developing mathematical reasoning. TN GLE Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. TN GLE Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas. TN GLE Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution strategies. TN GLE Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. TN GLE Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely. TN GLE Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world. TN GLE Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and reliable models of mathematical concepts. TN Number and Operations TN GLE Understand and use place value concepts to Page 7 of 61 Skill 26 - Represent a 3-digit number as hundreds, tens, and ones
12 Grade 2 Tennessee, Math, 2008, Grade 2, Skill 27 - Determine the 3-digit number represented as hundreds, tens, and ones Skill 28 - Recognize equivalent forms of a 3-digit number using hundreds, tens, and ones Skill 29 - Represent a 3-digit whole number in expanded form Skill 31 - Compare whole numbers to 1,000 using the symbols <, >, and = TN GLE Understand and use the base-ten numeration system. TN GLE Use efficient and accurate strategies to develop fluency with multi-digit addition and subtraction. Skill 53 - Add a 2-digit number and a 1-digit number without regrouping Skill 54 - WP: Add a 2-digit number and a 1-digit number without regrouping Skill 55 - Add two 2-digit numbers without regrouping Skill 56 - Subtract a 1-digit number from a 2-digit number without regrouping Skill 59 - WP: Subtract a 1-digit number from a 2-digit number without regrouping Skill 60 - WP: Add two 2-digit numbers without regrouping Skill 61 - WP: Subtract a 2-digit number from a 2-digit number without regrouping Skill 64 - WP: Add two 3-digit numbers without regrouping Skill 65 - WP: Subtract a 3-digit number from a 3-digit number without regrouping Skill 69 - Determine a number pair that totals 100 Skill 70 - Add a 2-digit number and a 1- or 2-digit number with regrouping Skill 71 - WP: Add a 2-digit number and a 1- or 2-digit number with regrouping Skill 72 - Add 2- and 3-digit numbers with no more than one regrouping Page 8 of 61
13 Grade 2 Tennessee, Math, 2008, Grade 2, Skill 77 - Subtract a 3-digit number from a 3-digit number with one TN GLE Develop an initial understanding of multiplication. regrouping Skill 85 - Know multiplication tables for 2, 5, and 10 TN Algebra TN GLE Develop pattern recognition. TN GLE Extend knowledge of the properties of numbers and operations to multiplication. TN GLE Solve simple arithmetic problems using various methods. TN GLE Describe quantitative change. TN Geometry and Measurement TN GLE Recognize, classify, and transform 2- and 3- dimensional geometric figures. TN GLE Understand the meaning and process of linear measurement. TN GLE Add, subtract, compare, compute and estimate linear measurements. TN GLE Compose and decompose polygons to make other polygons. TN Data, Probability and Statistics Page 9 of 61 Domain 3 - Geometry and Measurement (GM) Domain 3 - Geometry and Measurement (GM) Domain 3 - Geometry and Measurement (GM) Skill 86 - Use a multiplication sentence to represent an area or an array model Skill 14 - Complete a skip pattern starting from a multiple of 2, 5, or 10 Skill 15 - Complete a skip pattern of 2 or 5 starting from any number Skill 16 - Complete a skip pattern of 10 starting from any number Skill 17 - Count on by 100s from any number Skill Identify a missing figure in a geometric pattern Skill 85 - Know multiplication tables for 2, 5, and 10 Skill Determine a missing addend in a basic addition-fact number sentence Skill Determine a missing subtrahend in a basic subtraction-fact number sentence Skill Determine the common attributes in a set of geometric shapes Skill Identify a common solid shape Skill Estimate the height or length of a common object in customary units
14 Grade 2 Tennessee, Math, 2008, Grade 2, TN GLE Use and understand various representations to depict and analyze data measurements. TN GLE Determine whether an event is likely or unlikely. Domain 4 - Data Analysis, Statistics, and Probability (SP) Skill Read a 2-category tally chart Skill Answer a question using information from a 2-category tally chart Skill Read a simple pictograph Skill Answer a question using information from a pictograph (1 symbol = more than 1 object) Skill Read a bar graph Skill Answer a question using information from a bar graph with a y- axis scale by 2s Skill Use a 2-category tally chart to represent groups of objects (1 symbol = 1 object) 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 Page 10 of 61
15 Grade 3 Tennessee, Math, 2008, Grade 3, TN Mathematical Processes TN GLE Use mathematical language, symbols, and definitions while developing mathematical reasoning. TN GLE Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. TN GLE Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas. TN GLE Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution strategies. TN GLE Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. TN GLE Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely. TN GLE Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world. TN GLE Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and reliable models of mathematical concepts. TN Number and Operations Page 11 of 61
16 Grade 3 Tennessee, Math, 2008, Grade 3, TN GLE Understand the place value of whole numbers to tenthousands place including expanded notation for all arithmetic operations. Skill 25 - Identify the place of a digit in a 3-digit number Skill 26 - Represent a 3-digit number as hundreds, tens, and ones Skill 27 - Determine the 3-digit number represented as hundreds, tens, and ones Skill 28 - Recognize equivalent forms of a 3-digit number using hundreds, tens, and ones Skill 29 - Represent a 3-digit whole number in expanded form Skill 31 - Compare whole numbers to 1,000 using the symbols <, >, and = 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 GLE Develop understanding of multiplication and related division facts through multiple strategies and representations. TN GLE Relate multiplication and division as inverse operations. Skill 37 - Represent a 4-digit whole number in expanded form Skill 41 - Determine the 4- or 5-digit whole number represented in expanded form Skill 42 - Represent a 5-digit whole number in expanded form Skill 87 - Know basic multiplication facts to 10 x 10 Skill 88 - WP: Multiply using basic facts to 10 x 10 Skill Know basic division facts to Skill WP: Divide using basic facts to Page 12 of 61
17 Grade 3 Tennessee, Math, 2008, Grade 3, TN GLE Solve multiplication and division problems using various representations. Skill 85 - Know multiplication tables for 2, 5, and 10 Skill 86 - Use a multiplication sentence to represent an area or an array model Skill 87 - Know basic multiplication facts to 10 x 10 Skill 88 - WP: Multiply using basic facts to 10 x 10 Skill 89 - Multiply a 2-digit whole number by a 1-digit whole number with no regrouping Skill 90 - WP: Multiply a 2-digit whole number by a 1-digit whole number without regrouping Skill 92 - Multiply a 1- or 2-digit whole number by a multiple of 10, 100, or 1,000 Skill 94 - Multiply a 3- or 4-digit whole number by a 1-digit whole number Skill 95 - Multiply a 2-digit whole number by a 1- or 2-digit whole number with regrouping Skill 96 - WP: Multiply a 2-digit whole number by a 1- or 2-digit whole number Skill 97 - Multiply a 2-digit whole number by a 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 Know basic division facts to Skill WP: Divide using basic facts to Skill Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Skill WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Skill WP: Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient Page 13 of 61
18 Grade 3 Tennessee, Math, 2008, Grade 3, Skill WP: Divide whole numbers with no 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: Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient TN GLE Understand the meaning and uses of fractions. 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 GLE Use various strategies and models to compare and order fractions and identify equivalent fractions. TN GLE Add and subtract fractions with like denominators using various models. TN Algebra TN GLE Develop meaning for and apply the commutative, associative, and distributive properties using various representations. TN GLE Develop understanding that a letter or a symbol can represent an unknown quantity in a simple mathematical expression/equation. Page 14 of 61 Skill Identify a fraction represented by a point on a number line Skill Locate a fraction on a number line Skill Identify equivalent fractions using models Skill Compare fractions using models Skill Order fractions using models Skill Add fractions with like 1- digit denominators Skill Subtract fractions with like 1-digit denominators Skill WP: Subtract fractions with like denominators no greater than 10 Skill 93 - Apply the distributive property to multiply a multi-digit number by a 1-digit number Skill Determine a missing addend in a basic addition-fact number sentence Skill WP: Determine a missing addend in a basic addition-fact number sentence
19 Grade 3 Tennessee, Math, 2008, Grade 3, Skill Determine a missing subtrahend in a basic subtraction-fact number sentence Skill WP: Determine a missing subtrahend in a basic subtraction-fact number sentence Skill Determine a missing addend in a number sentence TN GLE Describe and analyze patterns and relationships in contexts. TN GLE Create and represent patterns using words, tables, graphs, and symbols. TN Geometry and Measurement TN GLE Describe, compare, and analyze properties of polygons. Domain 3 - Geometry and Measurement (GM) Domain 3 - Geometry and Measurement (GM) Domain 3 - Geometry and Measurement (GM) involving 2-digit numbers Skill 14 - Complete a skip pattern starting from a multiple of 2, 5, or 10 Skill 15 - Complete a skip pattern of 2 or 5 starting from any number Skill 16 - Complete a skip pattern of 10 starting from any number Skill 17 - Count on by 100s from any number Skill Determine the rule for an addition or subtraction number pattern Skill Identify a missing term in a multiplication or a division number pattern Skill Identify a missing figure in a geometric pattern Skill Identify a missing figure in a growing pictorial or nonnumeric pattern Skill Generate a table of paired numbers based on a rule Skill Identify a missing figure in a geometric pattern Skill Identify a missing figure in a repeating pictorial or nonnumeric pattern Skill Identify a circle, a triangle, a square, or a rectangle Skill Determine the common attributes in a set of geometric shapes Skill Classify a right angle or a straight angle given a picture Skill Classify an obtuse angle or an acute angle given a picture Skill Classify an angle given its measure Page 15 of 61
20 Grade 3 Tennessee, Math, 2008, Grade 3, TN GLE Understand and apply the concepts of congruence and symmetry. TN GLE Understand and use attributes of 2- and 3- dimensional figures to solve problems. TN GLE Use appropriate units, strategies and tools to solve problems involving perimeter. Domain 3 - Geometry and Measurement (GM) Domain 3 - Geometry and Measurement (GM) Domain 3 - Geometry and Measurement (GM) Skill Identify a line of symmetry Skill Identify figures that are the same size and shape Skill Determine lines of symmetry Skill Identify a circle, a triangle, a square, or a rectangle Skill Determine the common attributes in a set of geometric shapes Skill Determine the missing side length of a rectangle given a side length and the perimeter Skill Identify figures that are the same size and shape Skill Determine the perimeter of a triangle TN GLE Solve measurement problems involving fractional parts of linear units and capacity units. Domain 3 - Geometry and Measurement (GM) TN Data Analysis, Statistics, and Probability TN GLE Organize, display, Domain 4 - Data Analysis, and analyze data using various Statistics, and Probability (SP) representations to solve problems. 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 Measure length in inches Skill Measure length in centimeters Skill Read a line plot Skill Answer a question using information from a line plot Skill Use a pictograph to represent data (1 symbol = more than 1 object) Page 16 of 61
21 Grade 3 Tennessee, Math, 2008, Grade 3, Skill Use a bar graph with a y- axis scale by 2s to represent data Skill Use a line plot to represent data Skill Use a line graph to represent data Skill Use a double-bar graph to represent data Page 17 of 61
22 Grade 4 Tennessee, Math, 2008, Grade 4, TN Mathematical Processes TN GLE Use mathematical language, symbols, and definitions while developing mathematical reasoning. TN GLE Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. Skill 66 - Estimate a sum or difference of 2- to 4-digit whole numbers using any method Skill 67 - WP: Estimate a sum or difference of two 3- or 4-digit whole numbers using any method Skill 91 - Estimate the product of a 2- digit number and a 1-digit number TN GLE Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas. TN GLE Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution strategies. TN GLE Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. TN GLE Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely. Page 18 of 61 Skill 99 - Estimate the product of whole numbers using any method Skill WP: Estimate a product of two whole numbers using any method Skill Estimate the quotient of a 2-digit whole number divided by a 1- digit whole number with no remainder in the quotient Skill Estimate a quotient using any method Skill WP: Estimate a quotient using any method
23 Grade 4 Tennessee, Math, 2008, Grade 4, TN GLE Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world. TN GLE Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and reliable models of mathematical concepts. TN Number and Operations TN GLE Understand place value of numbers from hundredths to the hundred-thousands place. Skill 40 - Determine the value of a digit in a 6-digit number TN GLE Develop fluency with multiplication and single-digit division. Page 19 of 61 Skill 41 - Determine the 4- or 5-digit whole number represented in expanded form Skill 42 - Represent a 5-digit whole number in expanded form 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 Locate a decimal number to tenths on a number line Skill Identify the place of a digit in a decimal number through hundredths Skill 92 - Multiply a 1- or 2-digit whole number by a multiple of 10, 100, or 1,000 Skill 93 - Apply the distributive property to multiply a multi-digit number by a 1-digit number Skill 94 - Multiply a 3- or 4-digit whole number by a 1-digit whole number Skill 95 - Multiply a 2-digit whole number by a 1- or 2-digit whole number with regrouping
24 Grade 4 Tennessee, Math, 2008, Grade 4, Skill 96 - WP: Multiply a 2-digit whole number by a 1- or 2-digit whole number Skill 97 - Multiply a 2-digit whole number by a 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 Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Skill WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Skill WP: Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient TN GLE Identify prime and composite numbers. TN GLE Understand and use the connections between fractions and decimals. TN GLE Add and subtract fractions with like and unlike denominators. Page 20 of 61 Skill Determine the fraction equivalent to a decimal number model Skill Determine the decimal number equivalent to a fraction model 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 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 mixed numbers with like denominators and simplify the sum
25 Grade 4 Tennessee, Math, 2008, Grade 4, Skill WP: Subtract mixed numbers with like denominators and simplify the difference Skill Add fractions with unlike denominators that have factors in common and simplify the sum TN GLE Solve problems involving whole numbers, fractions, and/or decimals using all four arithmetic operations. TN Algebra Skill Add fractions with unlike 1- digit denominators Skill WP: Add fractions with unlike 1-digit denominators Skill Add fractions with unlike denominators that have no factors in common Skill Add mixed numbers with unlike denominators Skill WP: Add mixed numbers with unlike denominators Skill Subtract fractions with unlike denominators that have factors in common and simplify the difference Skill Subtract fractions with unlike 1-digit denominators Skill WP: Subtract fractions with unlike 1-digit denominators Skill Subtract fractions with unlike denominators that have no factors in common Skill Subtract mixed numbers with unlike denominators Skill WP: Subtract mixed numbers with unlike denominators 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 Skill WP: Determine the amount of change from whole dollar amounts Skill WP: Determine the sum of a decimal number and a whole number Page 21 of 61
26 Grade 4 Tennessee, Math, 2008, Grade 4, TN GLE Extend understanding of a variable to equations involving whole numbers, fractions, decimals, and/or mixed numbers. TN GLE Use mathematical language and modeling to develop descriptions, rules and extensions of patterns. TN GLE Translate between different forms of representations of whole number relationships. TN Geometry and Measurement TN GLE Understand and Domain 3 - Geometry and use the properties of lines, segments, Measurement (GM) angles, polygons, and circles. 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 Use a division sentence to represent objects divided into equal groups 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 Classify a right angle or a straight angle given a picture Skill Classify an obtuse angle or an acute angle given a picture Skill Classify an angle given its measure Skill Identify line segments Skill Identify perpendicular lines TN GLE Understand and use measures of length, area, capacity, and weight. TN GLE Solve problems that involve estimating and measuring length, area, capacity and weight. Page 22 of 61 Domain 3 - Geometry and Measurement (GM) Skill Estimate the height or length of a common object in customary units
27 Grade 4 Tennessee, Math, 2008, Grade 4, Skill Estimate the height of a common object in metric units Skill Determine the missing side length of a rectangle given a side length and the perimeter Skill Determine the area of a polygon on a grid Skill Determine the area of a square Skill Determine the area of a rectangle given the length and width TN GLE Understand the representation of location and movement within the first quadrant of a coordinate system. TN Data, Probability and Statistics TN GLE Collect, record, arrange, present, and interpret data using tables and various representations. Domain 4 - Data Analysis, Statistics, and Probability (SP) 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 Skill Determine the ordered pair of a point in the first quadrant Skill Read a line plot Skill Answer a question using information from a line plot Skill Read a line graph Skill Answer a question using information from a line graph Skill Read a double-bar graph Skill Answer a question using information from a double-bar graph TN GLE Use probability to describe chance events. Skill Use a line plot to represent data Skill Use a line graph to represent data Skill Use a double-bar graph to represent data Page 23 of 61
28 Grade 5 Tennessee, Math, 2008, Grade 5, TN Mathematical Processes TN GLE Use mathematical language, symbols, and definitions while developing mathematical reasoning. TN GLE Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. Skill 66 - Estimate a sum or difference of 2- to 4-digit whole numbers using any method Skill 67 - WP: Estimate a sum or difference of two 3- or 4-digit whole numbers using any method Skill 91 - Estimate the product of a 2- digit number and a 1-digit number Skill 99 - Estimate the product of whole numbers using any method Skill WP: Estimate a product of two whole numbers using any method Skill Estimate the quotient of a 2-digit whole number divided by a 1- digit whole number with no remainder in the quotient Skill Estimate a quotient using any method Skill WP: Estimate a quotient using any method 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 a decimal number from its position on a number line Skill Estimate the sum of a whole number and a decimal number Skill Estimate the sum of two decimal numbers Page 24 of 61
29 Grade 5 Tennessee, Math, 2008, Grade 5, 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 TN GLE Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas. TN GLE Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution strategies. TN GLE Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. TN GLE Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely. Domain 3 - Geometry and Measurement (GM) of two decimals Skill Estimate the height or length of a common object in customary units Skill Estimate the height of a common object in metric units Page 25 of 61
30 Grade 5 Tennessee, Math, 2008, Grade 5, TN GLE Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world. TN GLE Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and reliable models of mathematical concepts. TN Number and Operations TN GLE Extend the understanding of place value through millions and millionths in various contexts and representations. Skill 33 - Determine the value of a digit in a 4- or 5-digit whole number TN GLE Write natural numbers (to 50) as a product of prime factors and understand that this is unique (apart from order). TN GLE Develop fluency with division of whole numbers. Understand the relationship of divisor, dividend, and quotient in terms of multiplication and division. Skill 40 - Determine the value of a digit in a 6-digit number Skill Identify the prime factors of a 2-digit number Skill Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Skill WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Skill WP: Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient Skill Divide whole numbers with no remainder in the quotient Skill WP: Divide whole numbers with no 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 Page 26 of 61
31 Grade 5 Tennessee, Math, 2008, Grade 5, Skill WP: Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient TN GLE Develop fluency with addition and subtraction of proper and improper fractions and mixed numbers; explain and model the algorithm. Page 27 of 61 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 WP: Divide a whole number and interpret the remainder 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 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 mixed numbers with like denominators and simplify the sum Skill WP: Subtract mixed numbers with like denominators and simplify the difference Skill Add fractions with unlike denominators that have factors in common and simplify the sum Skill Add fractions with unlike 1- digit denominators
32 Grade 5 Tennessee, Math, 2008, Grade 5, Skill WP: Add fractions with unlike 1-digit denominators Skill Add fractions with unlike denominators that have no factors in common Skill Add mixed numbers with unlike denominators Skill WP: Add mixed numbers with unlike denominators Skill Subtract fractions with unlike denominators that have factors in common and simplify the difference Skill Subtract fractions with unlike 1-digit denominators Skill WP: Subtract fractions with unlike 1-digit denominators Skill Subtract fractions with unlike denominators that have no factors in common Skill Subtract mixed numbers with unlike denominators Skill WP: Subtract mixed TN GLE Develop fluency in solving multi-step problems using whole numbers, fractions, mixed numbers, and decimals. TN Algebra TN GLE Understand and use order of operations. TN GLE Develop and apply the concept of variable. numbers with unlike denominators Skill WP: Solve a multi-step problem involving whole numbers Skill WP: Solve a 2-step whole number problem using more than one operation Skill WP: Solve a 2-step problem involving whole numbers 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 Solve a 1-step equation involving whole numbers Skill Evaluate a numerical expression of four or more operations, with parentheses, using order of operations Skill Determine a rule that relates two variables Page 28 of 61
33 Grade 5 Tennessee, Math, 2008, Grade 5, 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 WP: Generate a table of paired numbers based on a variable expression with one operation 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 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 construct an input-output table TN GLE Understand and apply the substitution property. TN GLE Solve single-step linear equations and inequalities. TN Geometry and Measurement TN GLE Use basic formulas and visualization to find the area of geometric figures. Domain 3 - Geometry and Measurement (GM) Skill Use a 2-variable equation to represent a relationship expressed in a table Skill Evaluate a 2-variable expression, with two or three operations, using whole number substitution Skill Evaluate a 2-variable expression, with two or three operations, using integer substitution Skill Solve a 1-step linear equation involving integers Skill Determine the area of a polygon on a grid Skill Determine the area of a square Skill Determine the area of a rectangle given the length and width Page 29 of 61
34 Grade 5 Tennessee, Math, 2008, Grade 5, Skill WP: Determine the area of a rectangle Skill WP: Determine the area of a square or rectangle Skill Determine the area of a right triangle Skill Use a formula to determine the area of a triangle Skill WP: Determine the area of a triangle Skill Determine the area of a TN GLE Describe polyhedral solids and analyze their properties, including volume and surface area. TN GLE Describe length/distance relationships using the first quadrant of the coordinate system. TN GLE Solve problems that require attention to both approximation and precision of measurement. TN Data, Probability and Statistics TN GLE Make, record, display and interpret data and graphs that include whole numbers, decimals, and fractions. Domain 3 - Geometry and Measurement (GM) Domain 4 - Data Analysis, Statistics, and Probability (SP) complex shape Skill Determine the volume of a rectangular prism 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 ordered pair of a point in the first quadrant Skill Use a table to represent the values from a first-quadrant graph Skill Answer a question using information from a bar graph Skill Answer a question using information from a circle graph Skill Read a line graph Skill Answer a question using information from a line graph Skill Read a double-bar graph Skill Answer a question using information from a double-bar graph Skill Use a line graph to represent data Page 30 of 61
35 Grade 5 Tennessee, Math, 2008, Grade 5, Skill Use a double-bar graph to TN GLE Describe the Domain 4 - Data Analysis, shape and important features of a set Statistics, and Probability (SP) of data using the measures of central tendency. 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 31 of 61
36 Grade 6 Tennessee, Math, 2008, Grade 6, TN Mathematical Processes TN GLE Use mathematical language, symbols, and definitions while developing mathematical reasoning. TN GLE Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. Skill 91 - Estimate the product of a 2- digit number and a 1-digit number Skill 99 - Estimate the product of whole numbers using any method Skill WP: Estimate a product of two whole numbers using any method Skill Estimate the quotient of a 2-digit whole number divided by a 1- digit whole number with no remainder in the quotient Skill Estimate a quotient using any method Skill WP: Estimate a quotient using any method 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 a decimal number from its position on a number line 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 Page 32 of 61
37 Grade 6 Tennessee, Math, 2008, Grade 6, 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 Skill Estimate the percent a whole number is of another whole number Skill Estimate a given percent of a number Skill Estimate a whole number TN GLE Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas. TN GLE Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution strategies. TN GLE Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. TN GLE Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely. Domain 3 - Geometry and Measurement (GM) given a part and a percent Skill Estimate the height or length of a common object in customary units Skill Estimate the height of a common object in metric units Page 33 of 61
38 Grade 6 Tennessee, Math, 2008, Grade 6, TN GLE Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world. TN GLE Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and reliable models of mathematical concepts. TN Number & Operations TN GLE Understand and explain the procedures for multiplication and division of fractions, mixed numbers, and decimals. Page 34 of 61 Skill Multiply a fraction by a fraction Skill Multiply a mixed number by a whole number Skill Multiply a mixed number by a fraction Skill Divide a fraction by a fraction Skill Divide a whole number by a fraction resulting in a fractional quotient Skill WP: Multiply or divide two mixed numbers or a mixed number and a fraction Skill Divide a fraction by a whole number resulting in a fractional quotient Skill WP: Multiply or divide a fraction by a fraction Skill Multiply mixed numbers Skill Divide mixed numbers 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 WP: Estimate the product of two decimals Skill Multiply two decimal numbers
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