Tennessee Standards Alignment Grades One through Twelve

Transcription

1 Tennessee Standards Alignment Grades One 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 The Report is a standardsoriented 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 Grade Grade 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. 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 Accelerated Math Grade 1 Tennessee, Math, 2008, Grade 1, Accelerated Math Second Edition Grade 1 TN Mathematical Processes TN Describe the relationship between days and months. TN Read and write time to the hour, half-hour, and quarter-hour. TN Compare units of time. TN Count the value of a set of coins up to fifty cents. TN Use a thermometer to measure temperature. TN Recognize scales as a way of measuring weight. TN Apply spatial sense to recreate a figure from memory. TN Recognize the "word clues" and mathematical symbols for addition and subtraction. TN Use age-appropriate books, stories, and videos to convey ideas of mathematics. TN Match the spoken, written, concrete, and pictorial representations of whole numbers, one-half, and one-fourth. TN Number and TN Read and write numerals up to 100. Topic 3 - Geometry and Topic 1 - Numbers and Topic 3 - Geometry and Topic 1 - Numbers and Topic 1 - Numbers and Topic 1 - Numbers and TN Write numbers up to Topic 1 - Numbers and 10 in words. TN Count forward and Topic 1 - Numbers and backward by ones beginning with any number less than 100. TN Skip count by twos, fives, and tens. Page 1 of 77 Topic 1 - Numbers and Obj Tell time to the hour Obj Tell time to the half hour Obj Determine the value of a collection of mixed coins Obj Compare objects using the vocabulary of measurement Obj Determine equivalent addition or subtraction expressions involving words or symbols Obj. 5 - Count objects to 20 Obj Count objects grouped in tens and ones Obj. 1 - Read a whole number to 30 Obj. 2 - Read a whole number from 31 to 100 Obj. 3 - Determine the word form of a whole number to 30 Obj. 6 - Count on by ones from a number less than 100 Obj. 7 - Count back by ones from a number less than 20 Obj. 8 - Count back by ones from a number between 20 and 100 Obj Count by 2s to 50 starting from a multiple of 2 Obj Count by 5s or 10s to 100 starting from a multiple of 5 or 10, respectively

6 Accelerated Math Grade 1 Tennessee, Math, 2008, Grade 1, Accelerated Math Second Edition Grade 1 TN Order and compare (less than, greater than, or equal to) whole numbers to 100. TN Recognize the place value of numbers (tens, ones). TN Develop fluency with addition and subtraction facts of sums through ten. TN Relate "counting on" and "counting back" to addition and subtraction and understand them as inverse operations. Topic 1 - Numbers and Topic 1 - Numbers and Topic 1 - Numbers and Topic 1 - Numbers and TN Add three single-digit Topic 1 - Numbers and numbers. TN Use models (such as Topic 1 - Numbers and discrete objects, connecting cubes, and number lines) to represent "partwhole," "adding to," "taking away from," and "comparing to" situations to develop understanding of the meaning of addition and subtraction. Obj Compare whole numbers to 100 using words Obj Order whole numbers to 100 in ascending order Obj Represent a 2-digit number as tens and ones Obj Determine the 2-digit number represented as tens and ones Obj Determine the value of a digit in a 2-digit number Obj Know basic addition facts to 10 plus 10 Obj Know basic subtraction facts to 20 minus 10 Obj Apply the relationship between addition and counting on Obj Apply the relationship between subtraction and counting back Obj Add three 1-digit numbers Obj Relate a picture model to a basic addition fact Page 2 of 77 Obj Determine the basic addition fact shown by a picture model Obj Relate a number-line model to a basic addition fact Obj Determine the basic addition fact shown by a number-line model Obj Relate a picture model to a basic subtraction fact Obj Determine the basic subtraction fact shown by a picture model Obj Determine the basic subtraction fact shown by a numberline model

7 Accelerated Math Grade 1 Tennessee, Math, 2008, Grade 1, Accelerated Math Second Edition Grade 1 TN Recognize the "partwhole" relationship in representations of basic fractions such as ½ and ¼. TN Use various models to develop strategies for solving arithmetic problems. TN Solve problems that require addition and subtraction of numbers through 100. Topic 1 - Numbers and Topic 1 - Numbers and Obj Determine the basic addition fact shown by a picture model Obj Relate a number-line model to a basic addition fact Obj Determine the basic addition fact shown by a number-line model Obj Relate a picture model to a basic subtraction fact Obj Determine the basic subtraction fact shown by a picture model Obj Determine the basic subtraction fact shown by a numberline model Obj Relate a number-line model to a basic subtraction fact Obj Apply the relationship between addition and counting on Obj Apply the relationship between subtraction and counting back Obj WP: Use basic addition or subtraction facts to solve problems TN Use composition and decomposition of numbers to identify and discuss patterns. TN Represent whole numbers between 10 and 100 in groups of tens and ones. TN Represent whole numbers up to 100 on a number line. Page 3 of 77 Topic 2 - Algebraic Thinking Topic 1 - Numbers and Topic 1 - Numbers and Obj WP: Add or subtract a 1- and 2-digit number without regrouping Obj WP: Add or subtract two 2- digit numbers without regrouping Obj WP: Determine a missing addend or subtrahend in a basic addition- or subtraction-fact number sentence Obj Represent a 2-digit number as tens and ones Obj. 9 - Identify a number to 20 represented by a point on a number line Obj Locate a number to 20 on a number line

8 Accelerated Math Grade 1 Tennessee, Math, 2008, Grade 1, Accelerated Math Second Edition Grade 1 TN Use the number line to create visual representations of sequences (such as even numbers, tens, multiples of five). TN Algebra TN Find repeating patterns on the number line, addition table, and hundreds chart. TN Determine a reasonable next term in a given sequence and describe the rule. TN Use objects to illustrate the commutative property with basic facts and show that subtraction is not commutative. TN Demonstrate understanding of the basic equation a + b = c by using objects to illustrate the number sentences (fact families) associated with any particular sum. Topic 2 - Algebraic Thinking Obj Determine a pattern on a 1 to 100 chart Topic 2 - Algebraic Thinking Obj Determine a pattern on a 1 to 100 chart Obj Complete a pattern on a 1 to 100 chart TN Use various strategies to find unknowns in problems involving addition and subtraction. TN Use objects to demonstrate the inverse relationship between addition and subtraction. TN Use the inverse relation between addition and subtraction to check arithmetic problems. Page 4 of 77 Topic 2 - Algebraic Thinking Obj Determine a missing addend in a basic addition-fact number sentence Obj Determine a missing subtrahend in a basic subtraction-fact number sentence Obj Determine equivalent addition or subtraction expressions involving 1-digit numbers Obj Determine a missing addend in an addition sentence with three 1-digit numbers Obj WP: Determine a missing addend or subtrahend in a basic addition- or subtraction-fact number sentence

9 Accelerated Math Grade 1 Tennessee, Math, 2008, Grade 1, Accelerated Math Second Edition Grade 1 TN Determine whether a number is odd or even by pairing objects. TN Recognize that zero is the identity element for addition. TN Geometry and TN Recognize and describe similarities and differences between 2-dimensional figures (geometric attributes and properties). Topic 1 - Numbers and Topic 1 - Numbers and Topic 3 - Geometry and Obj Identify odd and even numbers less than 100 Obj Add zero to any number less than 100 Obj Determine the common attributes in a set of geometric shapes TN Recognize 2- and 3- dimensional figures from different perspectives and orientations. TN Model part-whole relationships and properties of plane and solid figures by combining two or more shapes to make a larger shape or by breaking apart an object into its smaller shapes. Topic 3 - Geometry and TN Identify 2-dimensional shapes as faces of 3-dimensional figures. TN Estimate and measure Topic 3 - Geometry and length using non-standard units (counting by using groups of tens and ones) to represent addition. TN Recognize the essential role of units in measurement, and understand the difference between standard and nonstandard units. TN Understand and use comparative words such as long, longer, longest; short, shorter, shortest; tall, taller, tallest; high, higher, highest. Topic 3 - Geometry and Obj Determine the group in which a geometric shape belongs Obj Determine the rule used to sort geometric shapes Obj Identify a circle, a triangle, a square, or a rectangle Obj Estimate length in nonstandard units Obj Compare objects using the vocabulary of measurement Obj Compare and order objects by attributes of height or length TN Data, Probability and Statistics Page 5 of 77

10 Accelerated Math Grade 1 Tennessee, Math, 2008, Grade 1, Accelerated Math Second Edition Grade 1 TN Represent measurements and discrete data using concrete objects, picture graphs, and bar graphs. TN Represent data in both horizontal and vertical form. TN Display data using appropriate titles and labels. TN Count and compare collected data. Topic 4 - Data Analysis and Statistics Topic 4 - Data Analysis and Statistics Obj Use a picture graph to represent groups of objects (1 symbol = 1 object) Obj Use a pictograph to represent groups of objects (1 symbol = 1 object) Obj Use a bar graph to represent groups of objects Obj Use a picture graph to represent groups of objects (1 symbol = 1 object) Obj Use a pictograph to represent groups of objects (1 symbol = 1 object) Obj Use a bar graph to represent groups of objects Page 6 of 77

11 Accelerated Math Grade 2 Tennessee, Math, 2008, Grade 2, Accelerated Math Second Edition Grade 2 TN Mathematical Processes TN Read and write time up to five-minute intervals. TN Relate days, dates, weeks, months, and years to a calendar. TN Use strategies to make estimates of time. TN Solve problems involving elapsed time in hour and half-hour intervals. TN Count the value of a set of coins up to one dollar and use the transitive property of equality to recognize equivalent forms of values up to $1.00. TN Read thermometers with Fahrenheit and Celsius scales. TN Measure weight to the nearest pound or kilogram. TN Use concrete models or pictures to show whether a fraction is less than a half, more than a half, or equal to a half. Topic 3 - Geometry and Topic 3 - Geometry and Topic 3 - Geometry and Obj Tell time to 5-minute intervals Obj WP: Calculate elapsed time Obj Read a thermometer in degrees Celsius Obj Read a thermometer in degrees Fahrenheit TN Match the spoken, written, concrete, and pictorial representations of halves, thirds, and fourths. TN Develop a story problem that illustrates a given addition or subtraction number sentence. TN Use manipulatives to demonstrate addition and subtraction sentences written symbolically. TN Write numbers and translate word clues to number sentences and vice versa. TN Use manipulatives such as pattern blocks, tangrams, etc. to explore geometric concepts of symmetry and transformations. Topic 3 - Geometry and Obj Identify symmetry in a 2- dimensional shape Page 7 of 77

12 Accelerated Math Grade 2 Tennessee, Math, 2008, Grade 2, Accelerated Math Second Edition Grade 2 TN Create and observe numerical patterns on a calculator by repeatedly adding or subtracting the same number from some starting number. TN Use age-appropriate books, stories, and videos to convey ideas of mathematics. TN Number and TN Starting at any number, count by ones, twos, fives, tens, and hundreds up to TN Read and write numbers up to 1000 using numerals and up to 100 using words. Topic 1 - Number Sense and Topic 1 - Number Sense and Obj. 3 - Complete a skip pattern starting from a multiple of 2, 5, or 10 Obj. 4 - Complete a skip pattern of 2, 5, or 10 starting from any number Obj. 5 - Count on by 100s from any number Obj. 1 - Read a whole number to 1,000 TN Locate and interpret numbers on a number line. TN Recognize that placevalue notation represents the sums of Topic 1 - Number Sense and multiples of powers of ten (e.g., 853 as 8 hundreds + 5 tens + 3 ones). Obj Determine which digit is in a specified place in a 3-digit whole number TN Compare and order multi-digit numbers up to TN Use various models such as number lines, pictures, and base-ten blocks to illustrate addition and subtraction. Page 8 of 77 Topic 1 - Number Sense and Topic 1 - Number Sense and Obj Represent a 3-digit number as hundreds, tens, and ones Obj Determine the 3-digit number represented as hundreds, tens, and ones Obj Compare whole numbers to 1,000 using words Obj Compare whole numbers to 1,000 using the symbols <, >, and = Obj Order whole numbers to 1,000 in ascending order Obj Order whole numbers to 1,000 in descending order Obj Add two 2-digit numbers with regrouping, given a model

13 Accelerated Math Grade 2 Tennessee, Math, 2008, Grade 2, Accelerated Math Second Edition Grade 2 TN Develop fluency at recalling basic addition facts and related subtraction facts. TN Use efficient Topic 1 - Number Sense and procedures, and understand why they work, to solve problems involving the addition and subtraction of two- and three-digit whole numbers (including those that require regrouping for addition only). Obj Add two 3-digit numbers without regrouping Obj Add two 2-digit numbers with regrouping, given a model Obj Add money values using cents or dollars with regrouping Obj Add two 2-digit numbers with regrouping Obj Add three 2-digit numbers with one regrouping, sum less than 100 Obj Add 2- and 3-digit numbers with no more than one regrouping TN Apply appropriate methods to estimate and mentally calculate sums or differences with ones, tens, and hundreds. TN Add three two-digit numbers. TN Solve addition and subtraction problems in context using various representations. Topic 1 - Number Sense and Topic 1 - Number Sense and Topic 1 - Number Sense and Obj Add two 3-digit numbers with one regrouping Obj Subtract a 3-digit number from a 3-digit number without regrouping Obj Subtract money values using cents or dollars with one regrouping Obj Subtract a 1- or 2-digit number from a 2-digit number with one regrouping Obj Estimate the sum of two 2- digit numbers Obj Estimate the difference of two 2-digit numbers Obj Add three 2-digit numbers with one regrouping, sum less than 100 Obj WP: Add or subtract numbers without regrouping Obj WP: Add or subtract up to 2- digit numbers with one regrouping Page 9 of 77

14 Accelerated Math Grade 2 Tennessee, Math, 2008, Grade 2, Accelerated Math Second Edition Grade 2 TN Demonstrate skip counting on the number line and relate to repeated addition and multiplication. TN Relate patterns in skip counting to multiplication. TN Algebra TN Given rules, complete tables to reveal both arithmetic and geometric patterns. TN Given a description, extend or find a missing term in a pattern or sequence. TN Record and study patterns in lists of numbers created by repeated addition or subtraction. Topic 2 - Algebraic Thinking Obj Determine an addition or subtraction number pattern given a rule TN Generalize the patterns resulting from the addition, subtraction and multiplication of combinations of odd and even numbers. TN Understand and use the commutative and associative properties of addition and multiplication. TN Relate repeated addition to multiplication. TN Find unknowns in number sentences and problems involving addition, subtraction and multiplication. Topic 1 - Number Sense and Topic 1 - Number Sense and Topic 2 - Algebraic Thinking Obj Use a multiplication sentence to represent the sum of equal groups Obj Represent repeated addition as multiplication Obj WP: Add or subtract numbers without regrouping Obj WP: Add or subtract up to 2- digit numbers with one regrouping Obj WP: Multiply a 1-digit number by 2, 5, or 10 Obj Determine a missing addend in a number sentence involving 2-digit numbers Obj Determine a missing subtrahend in a number sentence involving 2-digit numbers Obj WP: Determine a missing addend or a missing subtrahend involving 2-digit numbers Page 10 of 77

15 Accelerated Math Grade 2 Tennessee, Math, 2008, Grade 2, Accelerated Math Second Edition Grade 2 TN Describe change in measures according to quantitative criteria such as growing 2 inches in one year. TN Geometry and TN Describe common geometric attributes of familiar plane and solid objects. TN Reflect, rotate, and translate shapes to explore the effects of transformations. TN Understand the property of transitivity as it relates to linear measurement (for example: If A is longer than B, and B is longer then C, then A is longer than C). TN Estimate, measure, and calculate length to the nearest unit: meter, centimeter, yard, foot, and inch. TN Use rulers to measure the lengths of sides and diagonals of common 2-dimensional figures and polygons. TN Understand the inverse relationship between the size of a unit and the number of units used in a particular measurement (the smaller the unit, the more iterations needed to cover the length). Topic 3 - Geometry and TN Investigate and Topic 3 - Geometry and describe composition, decomposition, and transformations of polygons. Obj Measure length in inches Obj Measure length in centimeters Obj Decompose a plane shape composed of three or more simpler shapes TN Combine polygons to form other polygons and subdivide a polygon into other polygons. TN Recognize the composition and decomposition of polygons. TN Data, Probability and Statistics TN Read, interpret, and analyze data shown in tables, bar graphs and picture graphs. Page 11 of 77 Topic 3 - Geometry and Topic 3 - Geometry and Topic 4 - Data Analysis and Statistics Obj Decompose a plane shape composed of three or more simpler shapes Obj Decompose a plane shape composed of three or more simpler shapes Obj Read a bar graph with a y- axis scale by 2s

16 Accelerated Math Grade 2 Tennessee, Math, 2008, Grade 2, Accelerated Math Second Edition Grade 2 Obj Answer a question using information from a bar graph with a y- TN Read, interpret, and create tables using tally marks. TN Explain whether a real world event is likely or unlikely. TN Predict outcomes of events based on data gathered and displayed. Topic 4 - Data Analysis and Statistics axis scale by 2s Obj Read a multi-category tally chart Obj Use a tally chart to represent data Obj Answer a question using information from a tally chart Page 12 of 77

17 Accelerated Math Grade 3 Tennessee, Math, 2008, Grade 3, Accelerated Math Second Edition Grade 3 TN Mathematical Processes TN Read and write time to the nearest minute. TN Compare and order decimal amounts in the context of money. TN Count the value of combinations of coins and bills up to five dollars. TN Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, and observing patterns. TN Determine when and how to break a problem into simpler parts. TN Use estimation to check answers for reasonableness, and calculators to check for accuracy. TN Make and investigate mathematical conjectures. Topic 3 - Geometry and Topic 2 - Algebraic Thinking Obj Tell time to the minute Obj Extend a number pattern Obj Determine a rule for a table of related number pairs TN Explain and justify answers on the basis of mathematical properties, structures, and relationships. TN Use manipulatives to demonstrate that the commutative property holds for addition but not for subtraction. TN Use correct, clearly written and oral mathematical language to pose questions and communicate ideas. TN Develop strategies for solving problems involving addition and subtraction of measurements. TN Analyze and evaluate the mathematical thinking and strategies of others. TN Create and use representations to organize, record, and communicate mathematical ideas. Page 13 of 77

18 Accelerated Math Grade 3 Tennessee, Math, 2008, Grade 3, Accelerated Math Second Edition Grade 3 TN Use age-appropriate books, stories, and videos to convey ideas of mathematics. TN Number and TN Represent whole Topic 1 - Number Sense and numbers up to 10,000 using various models (such as base-ten blocks, number lines, place-value charts) and in standard form, written form, and expanded form. TN Understand and use the symbols =, < and > to signify order and comparison. Topic 1 - Number Sense and TN Use parentheses to indicate grouping. TN Use a variety of methods to perform mental computations and compare the efficiency of those methods. TN Use highest order value (such as tens or hundreds digit) to make simple estimates. TN Solve a variety of Topic 1 - Number Sense and addition and subtraction story problems including those with irrelevant information. Page 14 of 77 Obj. 1 - Read a 4- or 5-digit whole number Obj. 2 - Determine the word form of a 4- or 5-digit whole number Obj. 5 - Represent a 4-digit whole number as thousands, hundreds, tens, and ones Obj. 6 - Determine the 4-digit whole number represented in thousands, hundreds, tens, and ones Obj. 7 - Represent a 4- or 5-digit whole number in expanded form Obj. 8 - Determine the 4- or 5-digit whole number represented in expanded form Obj Compare 4- or 5-digit whole numbers using the symbols <, >, and = Obj Order fractions using models Obj Compare fractions with like denominators Obj Compare fractions with like numerators Obj WP: Add or subtract 3- and 4-digit whole numbers with regrouping Obj WP: Determine the amount of change from whole dollar amounts

19 Accelerated Math Grade 3 Tennessee, Math, 2008, Grade 3, Accelerated Math Second Edition Grade 3 TN Represent multiplication using various representations such as equal-size groups, arrays, area models, and equal jumps on number lines. TN Represent division using various representations such as successive subtraction, the number of equal jumps, partitioning, and sharing. TN Describe contexts for multiplication and division facts. TN Understand that symbols such as 1/2, 1/3, and 1/4 represent numbers called unit fractions. TN Identify fractions as parts of whole units, as parts of sets, as locations on number lines, and as division of two whole numbers. Topic 1 - Number Sense and Obj WP: Add or subtract money amounts less than $1 Obj Determine a pictorial model of a fraction of a whole Obj Determine a pictorial model of a fraction of a set of objects TN Compare fractions Topic 1 - Number Sense and using drawings, concrete objects, and benchmark fractions. TN Understand that when a whole is divided into equal parts to create unit fractions, the sum of all the parts adds up to one. Obj Identify a fraction represented by a point on a number line Obj Locate a fraction on a number line Obj Compare fractions with like denominators Obj Compare fractions with like numerators TN Algebra TN Show that addition and multiplication are commutative operations. TN Show that subtraction and division are not commutative operations. Page 15 of 77

20 Accelerated Math Grade 3 Tennessee, Math, 2008, Grade 3, Accelerated Math Second Edition Grade 3 TN Use commutative, associative, and distributive properties to multiply whole numbers. TN Solve problems using the commutative, associative, and distributive properties. TN Find unknowns in number sentences and problems involving addition, subtraction, multiplication, or division. TN Analyze patterns in words, tables, and graphs to draw conclusions. TN Create different representations of a pattern given a verbal description. TN Analyze patterns in quantitative change resulting from computation. TN Geometry and TN Describe properties of plane figures (such as circles, triangles, squares and rectangles) and solid shapes (such as spheres, cubes and cylinders). TN Classify polygons according to the number of their sides and angles. TN Classify lines and segments as parallel, perpendicular, or intersecting. Page 16 of 77 Topic 2 - Algebraic Thinking Topic 2 - Algebraic Thinking Topic 3 - Geometry and Topic 3 - Geometry and Obj Determine the missing addend in a number sentence involving 3-digit numbers Obj Determine the missing subtrahend in a number sentence involving 3-digit numbers Obj Determine the missing multiplicand in a number sentence involving basic facts Obj Determine the missing dividend or divisor in a number sentence involving basic facts Obj Extend a number pattern Obj Determine a rule for a table of related number pairs Obj WP: Find the missing number in a table of paired values Obj Determine attributes of a triangle or a quadrilateral from a model Obj Relate a model of a triangle or a quadrilateral to a list of attributes Obj Identify parallel, perpendicular, and intersecting lines

21 Accelerated Math Grade 3 Tennessee, Math, 2008, Grade 3, Accelerated Math Second Edition Grade 3 TN Identify, create, and describe figures with line symmetry. TN Understand that all measurements require units. TN Recognize the use of fractions in liquid measures. TN Recognize the relationships among cups, pints, quarts, and gallons. TN Estimate and/or measure the capacity of a container. TN Measure weight to the nearest ounce or gram. TN Use reasonable units of length (i.e. kilometer, meter, centimeter; mile, yard, foot, inch) in estimates and measures. TN Know common equivalences for length (1 meter = 100 centimeters, 1 yard = 3 feet, 1 foot = 12 inches). TN Make and record measurements that use mixed units within the same system of measurement (such as feet and inches, meters and centimeters). TN Use common abbreviations: km, m, cm, in, ft, yd, mi. TN Data Analysis, Statistics, and Probability TN Collect and organize data using observations, surveys, and experiments. TN Construct a frequency table, bar graph, pictograph, or line plot of collected data. TN Compare and interpret different representations of the same data. Topic 3 - Geometry and Topic 4 - Data Analysis, Statistics, and Probability Obj Convert between inches, feet, and yards Obj Convert between centimeters and meters Obj Use a bar graph with a scale interval of 5 or 10 to represent data Obj Use a line plot to represent data Obj Use a frequency table to represent data Page 17 of 77

22 Accelerated Math Grade 3 Tennessee, Math, 2008, Grade 3, Accelerated Math Second Edition Grade 3 TN Solve problems using data from frequency tables, bar graphs, pictographs, or line plots. Topic 4 - Data Analysis, Statistics, and Probability Obj Answer a question using information from a bar graph with a scale interval of 5 or 10 Obj Answer a question using information from a line plot Obj Answer a question using information from a frequency table Page 18 of 77

23 Accelerated Math Grade 4 Tennessee, Math, 2008, Grade 4, TN Mathematical Processes TN Understand the relationship between use of answers and the accuracy of the number. Accelerated Math Second Edition Grade 4 TN Identify the range of appropriate estimates, including overestimate and under-estimate. TN Connect operations with decimals to money and make estimates. TN Use commutative, associative, and distributive properties of numbers including oral descriptions of mathematical reasoning. TN Measure using ruler, meter stick, clock, thermometer, or other scaled instruments. TN Identify geometric or physical attributes that are appropriate to measure in a given situation. TN Translate the details of a contextual problem into diagrams and/or numerical expressions, and express answers using appropriate units. TN Match the spoken, written, concrete (including base ten blocks), and pictorial representations of decimals. TN Develop a story problem that illustrates a given multiplication or division number sentence. Topic 1 - Number Sense and Topic 3 - Geometry and Topic 1 - Number Sense and Obj Apply the distributive property to the multiplication of a 2- digit number by a 1- or 2-digit number Obj Measure length to the nearest eighth of an inch Obj Measure length to the nearest millimeter Obj Read a decimal number through the hundredths place Obj Determine the word form of a decimal number through the hundredths place Obj Determine the decimal number from a pictorial model of tenths or hundredths Obj Identify a pictorial model of tenths or hundredths of a decimal number Page 19 of 77

24 Accelerated Math Grade 4 Tennessee, Math, 2008, Grade 4, Accelerated Math Second Edition Grade 4 TN Use age-appropriate books, stories, and videos to convey ideas of mathematics. TN Number and TN Compose and decompose quantities according to place value. Topic 1 - Number Sense and TN Understand decimal notation as an extension of the baseten number system. TN Multiply two- and threedigit whole numbers. Topic 1 - Number Sense and TN Understand and use a Topic 1 - Number Sense and reliable algorithm for multiplying multidigit numbers and dividing numbers by a single-digit divisor accurately and efficiently. TN Understand that division by zero is undefined. TN Divide three-digit whole numbers by one-digit divisors fluently with pencil and paper. Topic 1 - Number Sense and Obj. 5 - Determine the whole number represented in expanded form written in powers of ten Obj. 6 - Represent a 6-digit whole number in expanded form using powers of ten Obj Multiply a 2-digit whole number by a 2-digit whole number Obj Multiply a 3-digit whole number by a 2-digit whole number Obj Multiply a 3- or 4-digit whole number by a 1-digit whole number Obj Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient Obj Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient Obj Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient TN Identify factors of whole numbers and model factors and products beyond basic multiplication facts using arrays and area models. TN Generate equivalent forms of whole numbers, decimals, and common fractions (e.g., 1/10, 1/4, 1/2, 3/4). Page 20 of 77 Topic 1 - Number Sense and Obj Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient Obj Simplify a fraction Obj Determine a set of equivalent fractions

25 Accelerated Math Grade 4 Tennessee, Math, 2008, Grade 4, Accelerated Math Second Edition Grade 4 Obj Determine the decimal number equivalent to a fraction model Obj Determine the fraction equivalent to a decimal number TN Compare equivalent forms whole numbers, fractions, and decimals to each other and to benchmark numbers Topic 1 - Number Sense and model Obj Compare fractions on a number line Obj Compare decimal numbers through the hundredths place TN Use models to understand division as the inverse of multiplication, partitioning, and repeated subtraction. TN Use models, benchmarks, and equivalent forms to compare fractions/decimals and locate them on the number line. Topic 1 - Number Sense and Obj Compare fractions on a number line Obj Order fractions on a number line Obj Identify a decimal number to tenths represented by a point on a number line Obj Locate a decimal number to tenths on a number line Obj Compare decimal numbers through the hundredths place TN Understand and use decimal numbers up to hundredths and write them as fractions. TN Solve multi-step problems of various types using whole numbers, fractions, and decimals. TN Understand the role of the remainder in division. TN Algebra Page 21 of 77 Topic 1 - Number Sense and Topic 1 - Number Sense and Topic 1 - Number Sense and Obj Determine a fraction equivalent to a decimal, using a denominator of 10 or 100 Obj Determine the fraction equivalent to a decimal number model Obj WP: Solve a 2-step whole number problem using more than 1 operation Obj WP: Solve a money problem involving 2 steps Obj Divide a 2-digit whole number by a 1-digit whole number with a remainder in the quotient Obj Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient

26 Accelerated Math Grade 4 Tennessee, Math, 2008, Grade 4, Accelerated Math Second Edition Grade 4 TN Find an unknown quantity in simple equations using whole numbers, fractions, decimals, and mixed numbers. TN Translate between symbols and words to represent quantities in expressions or equations. TN Create, explain and use a rule to generate terms of a pattern or sequence. TN Translate between symbolic, numerical, verbal, or pictorial representations of a whole number pattern or relationship. TN Geometry and TN Identify the basic parts of circles. TN Understand the definition of degree as it relates to the circle. TN Classify angles and triangles as obtuse, acute, or right. TN Measure and draw angles. TN Determine if a figure is a polygon. TN Recognize the use of decimals in metric measures. TN Measure liquids using both standard units and metric units. Topic 2 - Algebra Topic 2 - Algebra Topic 2 - Algebra Topic 3 - Geometry and Topic 3 - Geometry and Obj Solve a 1-step addition or subtraction equation using a model Obj Generate a table of paired numbers based on a rule Obj Determine a rule that relates two variables Obj Generate a table of paired numbers based on a rule Obj Determine a rule that relates two variables Obj Associate degrees with a turn on a circle Obj Classify an angle given a picture Obj Classify an angle given its measure TN Recognize that a measure of area represents the total number of same-sized units /that cover the shape without gaps or overlaps. TN Recognize that area does not change when 2-dimensional figures are cut apart and rearranged. TN Connect area measure to multiplication using a rectangular area model. Page 22 of 77 Topic 3 - Geometry and Obj Determine the area of a polygon on a grid

27 Accelerated Math Grade 4 Tennessee, Math, 2008, Grade 4, Accelerated Math Second Edition Grade 4 TN Estimate areas of rectangles in square inches and square centimeters. TN Estimate the size of an object with respect to a given measurement attribute (length, perimeter, area, or capacity). TN Compare objects with respect to a given attribute such as length, area, and capacity. TN Explain how the components of a coordinate system are used to determine location. TN Explore properties of paths between points. TN Examine transformations in the coordinate plane. TN Predict the results of a transformation of a geometric shape. TN Determine whether a geometric shape has line and/or rotational symmetry. TN Design and analyze simple tilings and tessellations. Topic 3 - Geometry and Obj Determine the result of a flip, a turn, or a slide TN Draw lines of Topic 3 - Geometry and symmetry in 2-dimensional figures. TN Recognize twodimensional faces of threedimensional shapes. TN Data, Probability and Statistics TN Create and label appropriate scales for graphs. TN Evaluate how well various representations show the collected data. TN Interpret and prepare pie charts using appropriate measurements of angles. TN Develop and use stemand-leaf plots. TN Use measures of central tendency to compare two sets of related data. TN Determine a simple probability. Page 23 of 77 Obj Determine lines of symmetry

28 Accelerated Math Grade 4 Tennessee, Math, 2008, Grade 4, Accelerated Math Second Edition Grade 4 TN Express a probability pictorially. Page 24 of 77

29 Accelerated Math Grade 5 Tennessee, Math, 2008, Grade 5, Accelerated Math Second Edition Grade 5 TN Mathematical Processes TN Make and test conjectures about geometric properties and develop logical arguments to justify conclusions. TN Make reasonable estimates of fraction and decimal sums or differences using models. TN Explore different methods of estimation including rounding and truncating. TN Explore problems in different contexts to interpret the meaning of remainders as discrete values or not. TN Solve problems in more than one way and explain why one process may be more effective than another. TN Communicate answers in correct verbal and numerical form; including use of mixed numbers or fractions and use of units. Topic 1 - Number Sense and Obj WP: Divide a whole number and interpret the remainder TN Organize and consolidate verbal statements involving fractions and mixed numbers into diagrams, symbols, and numerical expressions. TN Use patterns, models, and relationships as contexts for writing inequalities and simple equations. TN Use age-appropriate books, stories, and videos to convey ideas of mathematics. TN Number and TN Identify prime numbers Topic 1 - Number Sense and up to 50. TN Use the prime Topic 1 - Number Sense and factorization of two whole numbers to determine the greatest common factor and the least common multiple. Obj. 1 - Determine if a number to 50 is prime or composite Obj. 6 - Determine the greatest common factor of two whole numbers to 50 Obj. 9 - Determine the least common multiple of two whole numbers Page 25 of 77

30 Accelerated Math Grade 5 Tennessee, Math, 2008, Grade 5, Accelerated Math Second Edition Grade 5 TN Use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals. TN Use divisibility rules to factor numbers. TN Make reasonable estimates of fraction and decimal sums and differences. TN Add and subtract mixed numbers. Page 26 of 77 Topic 1 - Number Sense and Topic 1 - Number Sense and Topic 1 - Number Sense and Topic 1 - Number Sense and Obj Add fractions with unlike denominators using a model and do not simplify the sum Obj Add fractions with unlike denominators and do not simplify the sum Obj Add fractions with unlike denominators that have factors in common and simplify the sum Obj Subtract fractions with unlike denominators using a model and do not simplify the difference Obj Subtract fractions with unlike denominators and do not simplify the difference Obj Subtract fractions with unlike denominators that have factors in common and simplify the difference Obj Apply divisibility rules for 2, 5, or 10 Obj Estimate a fraction sum using benchmark numbers 0, 1/2, and 1 Obj Estimate a fraction difference using benchmark numbers 0, 1/2, and 1 Obj WP: Estimate a fraction sum or difference using benchmark numbers 0, 1/2, and 1 Obj Estimate the sum of two decimal numbers through thousandths and less than 1 by rounding to a specified place Obj Estimate the difference of two decimal numbers through thousandths and less than 1 by rounding to a specified place Obj Add mixed numbers with like denominators and simplify the sum Obj Add mixed numbers with unlike denominators and simplify the sum Obj Subtract mixed numbers with like denominators and simplify the difference Obj Subtract mixed numbers with unlike denominators and simplify the difference

31 Accelerated Math Grade 5 Tennessee, Math, 2008, Grade 5, Accelerated Math Second Edition Grade 5 TN Understand the placement of the decimal point in calculations of multiplication and long division, including the placement in the estimation of the answer. TN Understand that division by zero is undefined. TN Explore numbers less than 0 by extending the number line through familiar applications (e.g., temperatures below zero, owing money, measuring elevation below sea level). TN Use exponential notation to represent repeated multiplication of whole numbers. TN Algebra TN Evaluate an expression by substituting nonnegative rational number values for letter variables in the expression. Topic 2 - Algebra Obj Evaluate a 1-variable expression, involving one operation, using whole number substitution Obj Evaluate a 2-variable expression, involving one operation, using whole number substitution Obj WP: Evaluate a 1-variable expression with one operation using a whole number value Obj WP: Evaluate a 2-variable expression with one operation using whole number values TN Use variables appropriately to represent numbers whose values are not yet known. TN Solve single-step linear equations using inverse operations. Topic 2 - Algebra Obj Use a variable expression with one operation to represent a verbal expression Obj Use a verbal expression to represent a variable expression with one operation Obj WP: Use a variable expression with one operation to represent a situation TN Solve single-step linear inequalities and graph solutions on a number line. Page 27 of 77

32 Accelerated Math Grade 5 Tennessee, Math, 2008, Grade 5, Accelerated Math Second Edition Grade 5 TN Determine if a given value is a solution to a linear equation/inequality. TN Recognize there are many numbers between any two whole numbers on the number line. TN Geometry and TN Develop the formula for the area of a triangle as it relates to the area of a parallelogram/rectangle. TN Find the area of a convex polygon by decomposing it into triangles/rectangles. TN Build, draw, and work with prisms by means of orthogonal views, projective views, and nets. Topic 3 - Geometry and Topic 3 - Geometry and Obj Determine the area of a complex figure divided into basic shapes Obj Determine a net of a 3- dimensional shape TN Describe and identify the five regular (Platonic) solids and their properties with respect to faces, shapes of faces, edges, and vertices. TN Quantify total volume as filling space with same-sized units of volume without gaps or overlap. Topic 3 - Geometry and Topic 3 - Geometry and Obj Determine the number of faces, edges, and vertices in a 3- dimensional shape Obj Determine the volume of an object composed of rectangular prisms by counting units TN Decompose prisms to calculate surface area and volume. Topic 3 - Geometry and Obj Determine the volume of a rectangular prism given a diagram TN Understand, select and use units of appropriate size and type to measure angles, lengths/distances, area, surface area and volume. TN Identify characteristics of the set of points that define vertical and horizontal line segments. TN Correctly interpret significant digits in the accuracy of measurements and associated calculations. TN Recognize that measurements are never exact. Page 28 of 77 Topic 3 - Geometry and Obj Determine the surface area of a cube or a rectangular prism given a net Obj Determine the surface area of a rectangular prism Obj Measure an angle to the nearest 5 degrees

33 Accelerated Math Grade 5 Tennessee, Math, 2008, Grade 5, Accelerated Math Second Edition Grade 5 TN Understand the usefulness of approximations. TN Develop strategies for choosing correct tools of measurement. TN Recognize and use measures of weight and temperature. TN Data, Probability and Statistics TN Construct and analyze double bar and line graphs. Topic 4 - Data Analysis, Statistics, and Probability Obj Read a double- or stackedbar graph TN Represent data using ordered pairs in the first quadrant of the coordinate system. TN Design investigations to address a question and consider how data collection methods affect the nature of the data set. TN Recognize the differences in representing categorical and numerical data. TN Evaluate how different measures of central tendency describe data. TN Identify outliers and determine their effect on mean, median, mode and range. Topic 2 - Algebra Obj Use a double- or stackedbar graph to represent data Obj Use a first quadrant graph to represent the values from a table generated in context Page 29 of 77

34 Accelerated Math Grade 6 Tennessee, Math, 2008, Grade 6, TN Mathematical Processes TN Recognize different conventions used in calculator and computer spreadsheets (e.g., * for multiplication, ^ for exponent), but use mathematical notation in written work. TN Recognize when an estimate is more appropriate than an exact answer in a variety of problem situations. TN Recognize errors generated by rounding. TN Describe how changes in one quantity or variable result in changes in another. TN Illustrate properties of operations by showing that two expressions are equivalent in a given context (e.g., using an area model for distributive property, and grouping/set models for commutative and associative properties). TN Model situations by devising and carrying out experiments and simulations. TN Formulate questions, design studies, and collect real world data. TN Determine an appropriate sample to test an hypothesis. TN Use age-appropriate books, stories, and videos to convey ideas of mathematics. TN Use various methods (such as dynamic geometry software) to explore properties of triangles and quadrilaterals. Accelerated Math Second Edition Grade 6 TN Model algebraic expressions with manipulatives, technology, and pencil and paper. TN Number & TN Efficiently compare and order fractions, decimals and percents; determine their approximate locations on a number line. Page 30 of 77 Topic 1 - Number Sense and Obj Compare numbers in decimal and fractional forms