Tennessee Standards Alignment Grades Three through Twelve

Transcription

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

2 Tennessee Standards Alignment 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 Algebra Geometry...42 Algebra Precalculus...58 Statistics...63 Calculus 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 3 Tennessee, Math, 2008, Grade 3, TN SPI Mathematical Processes TN SPI *Solve problems using a calendar. TN SPI *Solve problems involving elapsed time. Accelerated Math Second Edition Grade 3 Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Obj Determine a date using a calendar Obj Calculate elapsed time within an hour, given two clocks, without regrouping Obj Calculate elapsed time within an hour, given two clocks, with regrouping Obj WP: Calculate elapsed time within an hour given two clocks Obj WP: Calculate elapsed time within an hour Obj WP: Determine the end time given the start time and the elapsed time within an hour Obj WP: Determine the start time given the end time on a clock and the elapsed time within an hour TN SPI *Determine the correct change from a transaction less than a dollar. TN SPI *Match the spoken, written, concrete, and pictorial representations of fractions with denominators up to ten. TN SPI *Represent problems mathematically using diagrams, numbers, and symbolic expressions. TN SPI *Identify and use vocabulary to describe attributes of two- and three-dimensional shapes. Page 1 of 68 Topic 3 - Geometry and Measurement Obj WP: Determine the start time given the end time and the elapsed time within an hour Obj WP: Determine the amount of change from whole dollar amounts Obj Determine a pictorial model of a fraction of a whole Obj Determine a pictorial model of a fraction of a set of objects Obj Identify a fraction represented by a point on a number line Obj Locate a fraction on a number line Obj Use a multiplication sentence to represent an area or an array model Obj Use a division sentence to represent objects divided into equal groups Obj Determine attributes of a triangle or a quadrilateral from a model

6 Accelerated Math Grade 3 Tennessee, Math, 2008, Grade 3, Accelerated Math Second Edition Grade 3 Obj Relate a model of a triangle or a quadrilateral to a list of attributes TN SPI *Select appropriate units and tools to solve problems involving measures. TN SPI *Express answers clearly in verbal, numerical, or graphical (bar and picture) form, using units when appropriate. Topic 4 - Data Analysis, Statistics, and Probability Obj Use a bar graph with a scale interval of 5 or 10 to represent data TN SPI Number and TN SPI *Read and write numbers up to 10,000 in numerals and up to 1,000 in words. TN SPI *Identify the place value of numbers in the tenthousands, thousands, hundreds, tens, and ones positions. TN SPI *Convert between expanded and standard form with whole numbers to 10,000. Obj. 1 - Read a 4- or 5-digit whole number Obj. 3 - Determine the value of a digit in a 4- or 5-digit whole number Obj. 4 - Determine which digit is in a specified place in 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 TN SPI *Compare and order numbers up to 10,000 using the words less than, greater than, and equal to, and the symbols <, >, =. 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 = TN SPI *Identify various representations of multiplication and division. Obj Order 4- or 5-digit whole numbers in ascending or descending order Obj Use a multiplication sentence to represent an area or an array model Obj Use a division sentence to represent objects divided into equal groups Page 2 of 68

7 Accelerated Math Grade 3 Tennessee, Math, 2008, Grade 3, Accelerated Math Second Edition Grade 3 TN SPI *Recall basic multiplication facts through 10 times10 and the related division facts. Obj Know basic multiplication facts to 10 x 10 TN SPI *Compute multiplication problems that involve multiples of ten using basic number facts. TN SPI *Solve problems that involve the inverse relationship between multiplication and division. TN SPI *Solve contextual problems involving the addition (with and without regrouping) and subtraction (without regrouping) of two- and three digit whole numbers. TN SPI *Identify equivalent fractions given by various representations. TN SPI *Recognize and use different interpretations of fractions. Topic 2 - Algebraic Thinking Topic 2 - Algebraic Thinking Topic 2 - Algebraic Thinking Obj Know basic division facts to Obj WP: Multiply using basic facts to 10 x 10 Obj WP: Divide using basic facts to Obj Complete a multiplication and division fact family Obj Recognize equivalent multiplication or division expressions involving basic facts Obj Multiply a 1-digit whole number by a multiple of 10 to 100 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 Add 3- and 4-digit numbers with regrouping Obj Add three 2- to 3-digit whole numbers 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 a pictorial model of a fraction of a whole Obj Determine a pictorial model of a fraction of a set of objects Obj Identify equivalent fractions using models Obj Identify a fraction represented by a point on a number line Page 3 of 68

8 Accelerated Math Grade 3 Tennessee, Math, 2008, Grade 3, Accelerated Math Second Edition Grade 3 TN SPI *Name fractions in various contexts that are less than, equal to, or greater than one. TN SPI *Recognize, compare, and order fractions (benchmark fractions, common numerators, or common denominators). TN SPI *Add and subtract fractions with like denominators. TN SPI Algebra TN SPI *Verify a conclusion using algebraic properties. Obj Compare fractions using models Obj Compare fractions with like denominators Obj Compare fractions with like numerators Obj Determine fraction pairs that total 1 TN SPI *Express mathematical relationships using number sentences/equations. TN SPI *Find the missing values in simple multiplication and division equations. Topic 2 - Algebraic Thinking Topic 2 - Algebraic Thinking Obj WP: Determine a multiplication or division sentence for a given situation Obj Determine the missing multiplicand in a number sentence involving basic facts TN SPI *Describe or extend (including finding missing terms) geometric and numeric patterns. TN SPI Geometry and Measurement TN SPI *Recognize polygons and be able to identify examples based on geometric definitions. TN SPI *Determine if two figures are congruent based on size and shape. TN SPI *Identify the line of symmetry in a two-dimensional design or shape. Topic 2 - Algebraic Thinking Topic 3 - Geometry and Measurement 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 Identify congruent shapes Page 4 of 68

9 Accelerated Math Grade 3 Tennessee, Math, 2008, Grade 3, Accelerated Math Second Edition Grade 3 TN SPI *Calculate the perimeter of shapes made from polygons. TN SPI *Choose reasonable units of measure, estimate common measurements using benchmarks, and use appropriate tools to make measurements. TN SPI *Measure length to the nearest centimeter or half inch. Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Obj Determine a method for finding the perimeter of a shape given the side lengths Obj Read a thermometer in degrees Fahrenheit or Celsius TN SPI *Solve problems requiring the addition and subtraction of lengths. TN SPI Data Analysis, Statistics, and Probability TN SPI *Interpret a frequency table, bar graph, pictograph, or line plot. Topic 3 - Geometry and Measurement Topic 4 - Data Analysis, Statistics, and Probability Obj Add or subtract compound units of length in inches and feet with no conversion Obj WP: Add or subtract compound units of length in inches and feet with no conversion Obj Answer a question using information from a bar graph with a scale interval of 5 or 10 Obj Read a line plot Obj Answer a question using information from a line plot Obj Answer a question using information from a frequency table TN SPI *Solve problems in which data is represented in tables or graph. TN SPI *Make predictions based on various representations of data. Page 5 of 68

10 Accelerated Math Grade 4 Tennessee, Math, 2008, Grade 4, TN SPI Mathematical Processes TN SPI *Verify a conclusion using the commutative, associative and distributive properties. TN SPI *Compare decimals using concrete and pictorial representations. TN SPI *Determine the correct change from a transaction. TN SPI *Compare objects with respect to a given geometric or physical attribute and select appropriate measurement instrument. Accelerated Math Second Edition Grade 4 Obj Apply the distributive property to the multiplication of a 2- digit number by a 1- or 2-digit number Obj Apply the distributive property to multiply a multi-digit number by a 1-digit number TN SPI Number and TN SPI *Read and write numbers from hundredths to hundredthousands in numerals and in words. Obj. 1 - Read a 6-digit whole number TN SPI *Locate and place mixed numbers on the number line. TN SPI *Identify the place value of a specified digit in a number and the quantity it represents. Obj. 2 - Determine the word form of a 6-digit whole number Obj Read a decimal number through the hundredths place Obj Determine the word form of a decimal number through the hundredths place Obj Identify a mixed number represented by a point on a number line Obj Locate a mixed number on a number line Obj. 3 - Determine the value of a digit in a 6-digit whole number TN SPI *Find factors, common factors, multiples, and common multiples of two numbers. TN SPI *Generate equivalent forms of common fractions and decimals and use them to compare size. Obj. 4 - Determine which digit is in a specified place in a 6-digit whole number Obj Simplify a fraction Page 6 of 68

11 Accelerated Math Grade 4 Tennessee, Math, 2008, Grade 4, Accelerated Math Second Edition Grade 4 Obj Determine a set of equivalent fractions Obj Determine the decimal number equivalent to a fraction with a denominator of 10 or 100 Obj Determine a fraction equivalent to a decimal, using a denominator of 10 or 100 Obj Determine the decimal number equivalent to a fraction model Obj Determine the fraction equivalent to a decimal number TN SPI *Use the symbols <, > and = to compare common fractions and decimals in both increasing and decreasing order. model Obj Compare fractions on a number line Obj Compare decimal numbers through the hundredths place TN SPI *Convert improper fractions into mixed numbers and/or decimals. TN SPI *Add and subtract proper fractions with like and unlike denominators and simplify the answer. TN SPI *Add and subtract decimals through hundredths. Page 7 of 68 Obj Identify an improper fraction represented by a model of a mixed number Obj Add fractions with like denominators no greater than 10 using models Obj Add fractions with like denominators no greater than 10 Obj Add fractions with like denominators no greater than 10 and simplify the sum Obj WP: Add fractions with like denominators no greater than 10 and simplify the sum Obj Subtract fractions with like denominators no greater than 10 using models Obj Subtract fractions with like denominators no greater than 10 Obj Subtract fractions with like denominators no greater than 10 and simplify the difference Obj WP: Subtract fractions with like denominators no greater than 10 and simplify the difference Obj Determine decimal number pairs that total 1 or 10

12 Accelerated Math Grade 4 Tennessee, Math, 2008, Grade 4, Accelerated Math Second Edition Grade 4 Obj Add two decimal numbers through hundredths Obj Subtract two decimal numbers through hundredths Obj WP: Add or subtract money amounts greater than $1 Obj WP: Solve a money problem involving 2-steps Obj WP: Add or subtract decimal numbers of the same place TN SPI *Solve contextual problems using whole numbers, fractions, and decimals. through hundredths Obj. 9 - Add up to 4-digit whole numbers in expanded form Obj Add a 5-digit or greater whole number and a 3-digit or greater whole number Obj Add three multi-digit whole numbers Obj Subtract a smaller number from a 3- or 4-digit whole number in expanded form Obj Subtract a 3-digit or greater whole number from a 5-digit or greater whole number Obj WP: Add a 5-digit or greater whole number and a 3-digit or greater whole number Obj WP: Add three multi-digit whole numbers Obj WP: Subtract a 3-digit or greater whole number from a 5-digit or greater whole number Obj WP: Solve a 2-step problem involving addition and/or subtraction of multi-digit whole numbers Obj Multiply a 1- or 2-digit whole number by a multiple of 10, 100, or 1,000 Obj Multiply a 3- or 4-digit whole number by a 1-digit whole number Page 8 of 68 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 three 1- and 2-digit whole numbers Obj WP: Multiply a multi-digit whole number by a 1-digit whole number

13 Accelerated Math Grade 4 Tennessee, Math, 2008, Grade 4, Accelerated Math Second Edition Grade 4 Obj WP: Multiply a 2-digit whole number by a 2-digit whole number Obj WP: Multiply a 3-digit whole number by a 2-digit whole number Obj Divide a multi-digit whole number by 10 or 100 with no remainder Obj Divide a 2-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 no remainder in the quotient 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 Obj WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Obj WP: Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient Obj WP: Divide a 2-digit whole number by a 1-digit whole number with a remainder in the quotient Obj WP: Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient Obj WP: Solve a 2-step whole number problem using more than 1 operation Obj WP: Add fractions with like denominators no greater than 10 and simplify the sum Obj WP: Subtract fractions with like denominators no greater than 10 and simplify the difference Obj WP: Add or subtract money amounts greater than $1 Obj WP: Solve a money problem involving 2-steps Page 9 of 68

14 Accelerated Math Grade 4 Tennessee, Math, 2008, Grade 4, Accelerated Math Second Edition Grade 4 Obj WP: Add or subtract decimal numbers of the same place TN SPI *Solve problems using whole number multi-digit multiplication. through hundredths Obj Multiply a 1- or 2-digit whole number by a multiple of 10, 100, or 1,000 Obj Multiply a 3- or 4-digit whole number by a 1-digit whole number 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 three 1- and 2-digit whole numbers Obj WP: Multiply a multi-digit whole number by a 1-digit whole number Obj WP: Multiply a 2-digit whole number by a 2-digit whole number Obj WP: Multiply a 3-digit whole number by a 2-digit whole number TN SPI *Solve problems using whole number division with oneor two-digit divisors. Obj Divide a multi-digit whole number by 10 or 100 with no remainder Page 10 of 68 Obj Divide a 2-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 no remainder in the quotient 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 Obj WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Obj WP: Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient Obj WP: Divide a 2-digit whole number by a 1-digit whole number with a remainder in the quotient

15 Accelerated Math Grade 4 Tennessee, Math, 2008, Grade 4, Accelerated Math Second Edition Grade 4 Obj WP: Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient TN SPI Algebra TN SPI *Use letters and symbols to represent an unknown quantity and write a simple mathematical expression. TN SPI *Make generalizations about geometric and numeric patterns. TN SPI *Represent and analyze patterns using words, function tables, and graphs. TN SPI Geometry and Measurement TN SPI *Classify lines and line segments as parallel, perpendicular, or intersecting. TN SPI *Graph and interpret points with whole number or letter coordinates on grids or in the first quadrant of the coordinate plane. Topic 2 - Algebra Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Obj Generate a table of paired numbers based on a rule Obj Determine a rule that relates two variables Obj Extend a number pattern in a table of related pairs Obj Identify a shape that has parallel or perpendicular sides Obj Identify the location of an ordered pair in the first quadrant using compass directions TN SPI *Construct geometric figures with vertices at points on a coordinate grid. TN SPI *Identify acute, obtuse, and right angles in 2- dimensional shapes. TN SPI *Identify attributes of simple and compound figures composed of 2- and 3- dimensional shapes. TN SPI *Determine situations in which a highly accurate measurement is important. TN SPI *Determine appropriate size of unit of measurement in problem situations involving length, capacity or weight. Page 11 of 68 Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Obj Determine the ordered pair of a point in the first quadrant using compass directions Obj Classify an angle given a picture Obj Classify an angle given its measure Obj Relate a polygon to attributes or characteristics Obj Measure length to the nearest eighth of an inch

16 Accelerated Math Grade 4 Tennessee, Math, 2008, Grade 4, Accelerated Math Second Edition Grade 4 Obj Measure length to the TN SPI *Convert Topic 3 - Geometry and measurements within a single system Measurement that are common in daily life (e.g., hours and minutes, inches and feet, centimeters and meters, quarts and gallons, liters and milliliters). nearest millimeter Obj Convert between customary units of capacity using whole numbers Obj Convert between customary units of weight using whole numbers Obj Convert between metric units of capacity using whole numbers Obj Convert between metric units of mass using whole numbers TN SPI *Solve problems involving area and/or perimeter of rectangular figures. Topic 3 - Geometry and Measurement Obj Convert between millimeters and centimeters or meters using whole numbers Obj Determine the perimeter of a rectangle given a picture showing length and width Obj WP: Determine the perimeter of a rectangle given a picture showing length and width Obj WP: Determine the perimeter of a square or rectangle Obj Determine the missing side length of a rectangle given a side length and the perimeter Obj Determine the area of a rectangle given a picture showing the length and width Obj Determine the area of a rectangle given the length and width TN SPI *Identify images resulting from reflections, translations, or rotations. TN SPI Data, Probability and Statistics TN SPI *Depict data using various representations (e.g., tables, pictographs, line graphs, bar graphs). Topic 3 - Geometry and Measurement Topic 4 - Data Analysis, Statistics, and Probability Obj WP: Determine the area of a rectangle Obj Determine the missing side length of a rectangle given a side length and the area Obj Determine the result of a flip, a turn, or a slide Obj Use a line graph to represent data Page 12 of 68

17 Accelerated Math Grade 4 Tennessee, Math, 2008, Grade 4, Accelerated Math Second Edition Grade 4 TN SPI *Solve problems using estimation and comparison within a single set of data. TN SPI *Given a set of data or a graph, describe the distribution of the data using median, range, or mode. TN SPI *List all possible outcomes of a given situation or event. Topic 4 - Data Analysis, Statistics, and Probability Obj List possible outcomes of a simple event Page 13 of 68

18 Accelerated Math Grade 5 Tennessee, Math, 2008, Grade 5, TN SPI Mathematical Processes TN SPI *Given a series of geometric statements, draw a conclusion about the figure described. TN SPI *Estimate fraction and decimal sums or differences. TN SPI *Recognize the unit associated with the remainder in a division problem or the meaning of the fractional part of a whole given in either decimal or fraction form. TN SPI *Identify missing information and/or too much information in contextual problems. Accelerated Math Second Edition Grade 5 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 WP: Estimate the sum or difference of two decimal numbers through thousandths using any method TN SPI Number and TN SPI *Read and write numbers from millions to millionths in various contexts. TN SPI *Write the prime factorization of numbers through 50 using both exponential and standard notation. TN SPI *Select a reasonable solution to a real-world division problem in which the remainder must be considered. Obj. 4 - Determine the prime factorization of a number to 50 Page 14 of 68

19 Accelerated Math Grade 5 Tennessee, Math, 2008, Grade 5, Accelerated Math Second Edition Grade 5 TN SPI *Solve problems involving the division of two- and three-digit whole numbers by oneand two-digit whole numbers. TN SPI *Solve addition and subtraction problems involving both fractions and decimals. Obj Divide a multi-digit whole number by a 1-digit number with no remainder and at least one zero in the quotient Obj Divide a multi-digit whole number by a 1-digit number with a remainder and at least one zero in the quotient Obj Divide a multi-digit whole number by a 1-digit number and express the quotient as a mixed number Obj Divide a multi-digit whole number by a 1-digit number and express the quotient as a decimal Obj WP: Divide a whole number and interpret the remainder Obj WP: Add or subtract fractions with like denominators and simplify the sum or difference Obj WP: Add or subtract fractions with unlike denominators that have no factors in common Obj Add two decimal numbers of differing places to thousandths Obj Add three or more decimal numbers Obj Add decimal numbers and whole numbers Obj Subtract two decimal numbers of differing places to thousandths Obj Subtract a decimal number from a whole number or a whole number from a decimal number TN SPI *Add and subtract proper and improper fractions as well as mixed numbers. Obj WP: Add or subtract decimal numbers through thousandths Obj WP: Add or subtract a decimal number through thousandths and a whole number Obj Add fractions with like denominators greater than 10 and simplify the sum Obj Add fractions with unlike denominators using a model and do not simplify the sum Page 15 of 68

20 Accelerated Math Grade 5 Tennessee, Math, 2008, Grade 5, Accelerated Math Second Edition Grade 5 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 Add fractions with unlike denominators that have no factors in common Obj Subtract fractions with like denominators greater than 10 and simplify the difference 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 Subtract fractions with unlike denominators that have no factors in common Obj WP: Add or subtract fractions with like denominators and simplify the sum or difference Obj WP: Add or subtract fractions with unlike denominators that have no factors in common 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 Obj WP: Add or subtract mixed numbers with like denominators and simplify the sum or difference Obj WP: Add or subtract mixed numbers with unlike denominators that have no factors in common Page 16 of 68

21 Accelerated Math Grade 5 Tennessee, Math, 2008, Grade 5, Accelerated Math Second Edition Grade 5 TN SPI *Recognize equivalent representations for the same number. TN SPI *Write terminating decimals in the form of fractions or mixed numbers. TN SPI *Compare whole numbers, decimals and fractions using the symbols <, >, and =. TN SPI Algebra TN SPI *Evaluate algebraic expressions involving decimals and fractions using order of operations. TN SPI *Evaluate multistep numerical expressions involving fractions using order of operations. TN SPI *Find the unknown in single-step equations involving fractions and mixed numbers. Obj Determine equivalent fractions not in simplest form Obj Determine the simplest form of a fraction Obj Convert a decimal number through thousandths to a simplified fraction Obj Convert a fraction with a denominator that is a factor of 10, 100, or 1,000 to decimal notation Obj Compare fractions with unlike denominators Obj Compare decimal numbers to thousandths represented in expanded form Obj Compare decimal numbers of differing places to thousandths TN SPI *Given a set of values, identify those that make an inequality a true statement. TN SPI Geometry and Measurement TN SPI *Solve contextual problems that require calculating the area of triangles and parallelograms. Topic 3 - Geometry and Measurement Obj Use a formula to determine the area of a triangle Obj Use a formula to determine the area of a parallelogram TN SPI *Decompose Topic 3 - Geometry and irregular shapes to find perimeter and Measurement area. Obj WP: Determine the area of a triangle Obj Determine the area of a complex figure divided into basic shapes Page 17 of 68

22 Accelerated Math Grade 5 Tennessee, Math, 2008, Grade 5, Accelerated Math Second Edition Grade 5 TN SPI *Identify a threedimensional object from twodimensional representations of that object and vice versa. TN SPI *Solve problems involving surface area and volume of rectangular prisms and polyhedral solids. Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement TN SPI *Find the length of vertical or horizontal line segments in the first quadrant of the coordinate system, including problems that require the use of fractions and decimals. TN SPI *Record measurements in context to reasonable degree of accuracy using decimals and/or fractions. TN SPI Data, Probability and Statistics TN SPI *Depict data using Topic 4 - Data Analysis, various representations, including Statistics, and Probability decimal and/or fractional data. Obj Determine the 3- dimensional shape that can be formed from a net Obj Determine a net of a 3- dimensional shape Obj Determine the volume of a rectangular prism given a diagram Obj WP: Determine the volume of a rectangular prism given a diagram Obj Determine the volume of a rectangular prism Obj WP: Determine the volume of a rectangular prism 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 WP: Find the surface area of a rectangular prism Obj Use a double- or stackedbar graph to represent data TN SPI *Make predictions based on various data representations, including double bar and line graphs. TN SPI *Calculate measures of central tendency to analyze data. Page 18 of 68 Topic 4 - Data Analysis, Statistics, and Probability Topic 4 - Data Analysis, Statistics, and Probability Obj WP: Extend a line graph to solve a problem Obj Determine the mode from a graph Obj Determine the mean of a set of whole number data, whole number results Obj Determine the median of an odd number of data values

23 Accelerated Math Grade 5 Tennessee, Math, 2008, Grade 5, Accelerated Math Second Edition Grade 5 Obj Determine the mode of a set of whole number data Page 19 of 68

24 Accelerated Math Grade 6 Tennessee, Math, 2008, Grade 6, TN SPI Mathematical Processes TN SPI *Make conjectures and predictions based on data. TN SPI *Judge the reasonableness of the results of rational number estimates and/or computations. TN SPI *Use concrete, pictorial, and symbolic representation for integers. TN SPI *Select the representation that models one of the arithmetic properties (commutative, associative, or distributive). TN SPI *Model algebraic expressions using algebra tiles. Accelerated Math Second Edition Grade 6 TN SPI Number & TN SPI *Solve problems involving the multiplication and division of fractions. TN SPI *Solve problems involving the addition, subtraction, multiplication, and division of mixed numbers. Obj Multiply a fraction by a fraction Obj Divide a fraction by a whole number resulting in a fractional quotient Obj Divide a fraction by a fraction Obj Divide a whole number by a fraction resulting in a fractional quotient Obj WP: Multiply or divide a fraction by a fraction Obj Add mixed numbers with unlike denominators or a mixed number and a fraction with unlike denominators and simplify the sum Obj Subtract a mixed number from a whole number Obj Subtract mixed numbers with unlike denominators or a mixed number and a fraction and simplify the difference Obj Add and subtract three unlike-denominator fractions, mixed numbers, or fractions and mixed numbers, and simplify the answer Page 20 of 68

25 Accelerated Math Grade 6 Tennessee, Math, 2008, Grade 6, Accelerated Math Second Edition Grade 6 Obj WP: Add or subtract mixed numbers with unlike denominators or a mixed number and a fraction with unlike denominators and simplify the sum or difference TN SPI *Solve problems involving the addition, subtraction, multiplication, and division of decimals. Page 21 of 68 Obj Multiply a mixed number by a whole number Obj Multiply a mixed number by a fraction Obj Multiply a mixed number by a mixed number Obj Divide a mixed number by a fraction Obj Divide a mixed number by a mixed number Obj WP: Multiply or divide two mixed numbers or a mixed number and a fraction Obj Add three decimal numbers Obj Add and subtract three decimal numbers Obj WP: Add and subtract three decimal numbers Obj Multiply a decimal number through thousandths by a whole number Obj WP: Multiply a decimal number through thousandths by a whole number Obj WP: Multiply a money expression by a decimal number Obj Multiply a decimal number greater than one, in tenths, by a decimal number in tenths Obj Multiply decimal numbers to thousandths using basic facts Obj Multiply decimal numbers less than one in hundredths or thousandths Obj Multiply a decimal number greater than one by a decimal number to thousandths that has only 1 nonzero digit Obj Multiply decimal numbers greater than one where the product has 2 or 3 decimal places

26 Accelerated Math Grade 6 Tennessee, Math, 2008, Grade 6, Accelerated Math Second Edition Grade 6 Obj WP: Multiply two decimal numbers to thousandths Obj Divide a decimal number by 10, 100, or 1,000 Obj Divide a decimal number through thousandths by a 1- or 2-digit whole number where the quotient has 2-5 decimal places Obj WP: Divide a decimal number through thousandths by a 1- or 2-digit whole number Obj Divide a whole number or a decimal number by 0.1, 0.01, or Obj Divide a 1- to 3-digit whole number by a decimal number to tenths where the quotient is a whole number Obj Divide a 1- to 3-digit whole number by a decimal number to tenths where the quotient is a decimal number to thousandths Obj Divide a 2- or 3-digit whole number by a decimal number to hundredths or thousandths, rounded quotient if needed TN SPI *Solve multi-step arithmetic problems using fractions, mixed numbers, and decimals. Page 22 of 68 Obj Divide a decimal number by a decimal number through thousandths, rounded quotient if needed Obj WP: Divide a whole number by a decimal number through thousandths, rounded quotient if needed Obj WP: Divide a decimal through thousandths by a decimal through thousandths, rounded quotient if needed Obj Add and subtract three unlike-denominator fractions, mixed numbers, or fractions and mixed numbers, and simplify the answer Obj WP: Solve a 2-step problem involving fractions Obj Add three decimal numbers Obj Add and subtract three decimal numbers

27 Accelerated Math Grade 6 Tennessee, Math, 2008, Grade 6, Accelerated Math Second Edition Grade 6 Obj WP: Add and subtract three decimal numbers Obj WP: Solve a 2-step problem TN SPI *Transform numbers from one form to another (fractions, decimals, percents, and mixed numbers). TN SPI *Solve problems involving ratios, rates and percents. TN SPI *Locate positive rational numbers on the number line. involving decimals Obj Convert a mixed number to a decimal number Obj Convert a decimal number to a mixed number Obj Convert a fraction to a repeating decimal number Obj Convert a decimal number to a percentage Obj Convert a percentage to a decimal number Obj Convert a fraction to a percentage Obj Convert a percentage to a fraction Obj Determine a percent where a ratio, not in 100ths, is given in words Obj Calculate a percent of a whole number where the answer is a whole number Obj WP: Calculate the percent of a whole number where the answer is a whole number Obj WP: Determine a ratio using whole numbers less than 50 Obj WP: Determine a part given a ratio and the whole where the whole is less than 50 Obj WP: Determine a part given a ratio and another part where the whole is less than 50 Obj WP: Determine the whole given a ratio and a part where the whole is less than 50 Obj WP: Determine a unit rate with a whole number value Obj WP: Use a unit rate, with a whole number or whole cent value, to solve a problem TN SPI *Locate integers on the number line. TN SPI Algebra Page 23 of 68 Obj Identify or locate an integer on a number line

28 Accelerated Math Grade 6 Tennessee, Math, 2008, Grade 6, Accelerated Math Second Edition Grade 6 TN SPI *Represent on a number line the solution of a linear inequality. TN SPI *Use order of operations and parentheses to simplify expressions and solve problems. TN SPI *Write equations that correspond to given situations or represent a given mathematical relationship. Topic 2 - Algebra Obj Evaluate a numerical expression of four or more operations, with parentheses, using order of operations Obj WP: Use a 2-variable equation to represent a situation involving a direct proportion Obj WP: Use a 2-variable linear equation to represent a situation TN SPI *Rewrite expressions to represent quantities in different ways. TN SPI *Translate between verbal expressions/sentences and algebraic expressions/equations. Topic 2 - Algebra TN SPI *Solve two-step Topic 2 - Algebra linear equations using number sense, properties, and inverse operations. Obj Relate division by a whole number power of ten to multiplication by the related decimal fraction power of ten Obj Relate division by a decimal fraction power of ten to multiplication by the related whole number power of ten Obj Use a variable expression with two operations to represent a verbal expression Obj Use a verbal expression to represent a variable expression with two operations Obj WP: Use a variable expression with two operations to represent a situation Obj WP: Use a 2-variable equation to represent a situation involving a direct proportion Obj WP: Use a 2-variable linear equation to represent a situation Obj Solve a proportion TN SPI *Use algebraic expressions and properties to analyze numeric and geometric patterns. TN SPI *Select the qualitative graph that models a contextual situation (e.g., water filling then draining from a bathtub). Topic 2 - Algebra Obj Use a 2-variable equation to represent a relationship expressed in a table Page 24 of 68

29 Accelerated Math Grade 6 Tennessee, Math, 2008, Grade 6, Accelerated Math Second Edition Grade 6 TN SPI *Graph ordered pairs of integers in all four quadrants of the Cartesian coordinate system. Topic 2 - Algebra Obj Use a first quadrant graph to represent the values in an inputoutput table Obj Use a graph to determine the entries in an input-output table TN SPI Geometry & Measurement TN SPI *Identify, define or describe geometric shapes given a visual representation or a written description of its properties. TN SPI *Find a missing angle measure in problems involving interior/exterior angles and/or their sums. TN SPI *Solve problems using the Triangle Inequality Theorem. TN SPI *Calculate with circumferences and areas of circles. TN SPI *Determine the surface area and volume of prisms, pyramids and cylinders. TN SPI *Given the volume of a cone/pyramid, find the volume of the related cylinder/prism or vice versa. TN SPI Data Analysis, Statistics, & Probability TN SPI *Determine the theoretical probability of simple and compound events in familiar contexts. TN SPI *Identify features of graphs that may be misleading. Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Topic 4 - Data Analysis, Statistics, and Probability Obj Determine the location of an ordered pair in any quadrant Obj Determine the ordered pair of a point in any quadrant Obj Identify parallel, perpendicular, or intersecting lines Obj Identify attributes of a 3- dimensional shape Obj Know the properties of a triangle or a quadrilateral Obj Determine the circumference of a circle using 22/7 for pi Obj Determine the circumference of a circle using 3.14 for pi Obj WP: Determine the circumference of a circle Obj Determine the volume of a prism with a right triangle base Obj Determine the probability of a single event Page 25 of 68

30 Accelerated Math Grade 6 Tennessee, Math, 2008, Grade 6, Accelerated Math Second Edition Grade 6 TN SPI *Determine whether or not a sample is biased. Page 26 of 68

31 Accelerated Math Grade 7 Tennessee, Math, 2008, Grade 7, TN SPI Mathematical Processes TN SPI *Use proportional reasoning to solve mixture/concentration problems. TN SPI *Generalize a variety of patterns to a symbolic rule from tables, graphs, or words. Accelerated Math Second Edition Grade 7 Topic 2 - Algebra Obj Use a variable expression with two operations to represent a table of paired numbers TN SPI *Recognize whether information given in a table, graph, or formula suggests a directly proportional, linear, inversely proportional, or other nonlinear relationship. TN SPI *Use scales to read maps. TN SPI Number & TN SPI *Simplify numerical expressions involving rational numbers. TN SPI *Compare rational numbers using appropriate inequality symbols. TN SPI *Use rational numbers and roots of perfect squares/cubes to solve contextual problems. TN SPI *Determine the approximate location of square/cube roots on a number line. TN SPI *Solve contextual problems that involve operations with integers. Topic 3 - Geometry and Measurement Obj Determine the scale for a drawing or map question Obj WP: Solve a problem involving a map or scale drawing Obj Compare rational numbers (positive and negative) Obj. 3 - Determine the whole number that can be squared to make a given number Obj. 4 - Evaluate the positive square root of a perfect square Obj WP: Answer a question involving a fraction and a percent Obj WP: Answer a question involving a fraction and a decimal Obj WP: Solve a multi-step problem involving decimal numbers Obj WP: Solve a multi-step problem involving fractions or mixed numbers Obj Add integers using a number line Obj Add integers using a model Page 27 of 68 Obj Add integers

32 Accelerated Math Grade 7 Tennessee, Math, 2008, Grade 7, Accelerated Math Second Edition Grade 7 TN SPI *Express the ratio between two quantities as a percent, and a percent as a ratio or fraction. Obj Subtract integers using a number line Obj Subtract integers Obj WP: Add and subtract using integers Obj Multiply integers Obj Divide integers Obj WP: Multiply or divide integers TN SPI *Use ratios and proportions to solve problems. TN SPI Algebra Topic 2 - Algebra Obj WP: Determine the ratio of two whole numbers, at least one of which is larger than 50 Obj Determine ratios equivalent to a given ratio of two whole numbers, at least one of which is larger than 50 Obj WP: Determine a part, given part to whole ratio and the whole, where the whole is greater than 50 Obj WP: Determine a part, given part to part ratio and the whole, where the whole is greater than 50 Obj WP: Determine a part, given part to whole ratio and a part, where the whole is greater than 50 Obj WP: Determine a part, given part to part ratio and a part, where the whole is greater than 50 Obj WP: Determine the whole, given part to whole ratio and a part, where the whole is greater than 50 Obj WP: Determine the whole, given part to part ratio and a part, where the whole is greater than 50 Obj WP: Use a unit rate to solve a problem Obj Solve a proportion involving decimals Obj WP: Solve a proportion Obj WP: Use direct variation to solve a problem Page 28 of 68

33 Accelerated Math Grade 7 Tennessee, Math, 2008, Grade 7, Accelerated Math Second Edition Grade 7 TN SPI *Evaluate algebraic expressions involving rational values for coefficients and/or variables. Topic 2 - Algebra Obj Evaluate a rational expression involving variables with two or more terms in the numerator or denominator Obj Evaluate a 1-variable expression, with two or three operations, using integer substitution Obj Evaluate a 2-variable expression, with two or three operations, using integer substitution TN SPI *Determine whether a relation (represented in various ways) is a function. TN SPI *Given a table of inputs x and outputs f(x), identify the function rule and continue the pattern. TN SPI *Interpret the slope of a line as a unit rate given the graph of a proportional relationship. Topic 2 - Algebra Obj Evaluate an algebraic expression involving whole number exponents Obj WP: Evaluate a variable expression involving exponents Obj Use a variable expression with two operations to represent a table of paired numbers Obj Use a table to represent a linear function TN SPI *Represent proportional relationships with equations, tables and graphs. TN SPI *Solve linear equations with rational coefficients symbolically or graphically. TN SPI *Translate between verbal and symbolic representations of real-world phenomena involving linear equations. TN SPI *Solve contextual problems involving two-step linear equations. TN SPI *Solve linear inequalities in one variable with rational coefficients symbolically or graphically. Page 29 of 68 Topic 2 - Algebra Obj Solve a 1-step linear equation involving integers Obj Solve a 2-step linear equation involving integers Obj Determine the graph of a 1- operation linear function Topic 2 - Algebra Obj WP: Use a 1-variable 1- step equation to represent a situation Topic 2 - Algebra Obj Determine the graph of an inequality on a number line

34 Accelerated Math Grade 7 Tennessee, Math, 2008, Grade 7, Accelerated Math Second Edition Grade 7 Obj Determine some solutions to a 1-variable linear inequality TN SPI Geometry & Measurement TN SPI *Solve contextual problems involving similar triangles. Topic 3 - Geometry and Measurement Obj Solve a 1-step linear inequality Obj Determine the graph of the solution set of a 1-step linear inequality Obj Determine a missing dimension given two similar shapes TN SPI *Use SSS, SAS, and AA to determine if two triangles are similar. TN SPI *Apply scale factor to solve problems involving area and volume. TN SPI Data Analysis, Statistics, & Probability TN SPI *Interpret and employ various graphs and charts to represent data. TN SPI *Select suitable graph types (such as bar graphs, histograms, line graphs, circle graphs, box-and-whisker plots, and stem-and-leaf plots) and use them to create accurate representations of given data. TN SPI *Calculate and interpret the mean, median, upperquartile, lower-quartile, and interquartile range of a set of data. Topic 4 - Data Analysis, Statistics, and Probability Topic 4 - Data Analysis, Statistics, and Probability Topic 4 - Data Analysis, Statistics, and Probability Obj WP: Solve a problem involving similar shapes Obj Answer a question using information from a circle graph using percentage calculations Obj Use a circle graph to represent percentage data Obj Use a histogram to represent data Obj Answer a question using information from a histogram Obj Read a double stem-andleaf plot Obj Answer a question using information from a double stem-andleaf plot Obj Use a circle graph to represent percentage data Obj Use a histogram to represent data Obj Determine the mean of a set of data Page 30 of 68