Mississippi State Standards Alignment Grades One through Twelve

Mississippi State 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 54495-8036 Phone: (800) 338-4204 Fax: (715) 424-4242 www.renlearn.com

Mississippi State 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 1... 1 Grade 2... 6 Grade 3...10 Grade 4...14 Grade 5...20 Grade 6...28 Grade 7...37 Pre-Algebra...44 Transition to Algebra...52 Algebra 1...56 Geoemetry...61 Algebra 2...67 Advanced Algebra...72 Trigonometry...75 Precalculus...78 Statistics...82 Calculus...85 2009 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

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

Accelerated Math Grade 1 Mississippi, Math, 2007, First Grade, - Number and MS 1 - Understand and represent relationships among numbers and compute operations (addition and subtraction) with and without manipulatives. MS 1.a - Recognize and write numbers 0 to 100. (DOK 1) Accelerated Math Second Edition Grade 1 Topic 1 - Numbers and MS 1.b - Compose and decompose Topic 1 - Numbers and two-digit numbers with representations in words and physical models. (DOK 2) 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. 4 - Determine the word form of a whole number from 31 to 100 Obj. 20 - Model a number to 100 using tens and ones Obj. 21 - Recognize a number from a model of tens and ones to 100 MS 1.c - Explain how to compare and order two-digit numbers using the terms "more," "less," "greater than," "less than," "equal to," and "almost," and the symbols >, <, and =. (DOK 1) Topic 1 - Numbers and MS 1.d - Use multiple Topic 1 - Numbers and representations for addition (combining of sets) and subtraction (take-away, missing addend, comparison) to solve problems. (DOK 1) Page 1 of 89 Obj. 22 - Represent a 2-digit number as tens and ones Obj. 23 - Determine the 2-digit number represented as tens and ones Obj. 30 - Determine equivalent forms of a number, up to 10 Obj. 11 - Determine one more than or one less than a given number Obj. 26 - Compare sets of objects using words Obj. 27 - Compare whole numbers to 100 using words Obj. 28 - Order whole numbers to 100 in ascending order Obj. 29 - Order whole numbers to 100 in descending order Obj. 31 - Determine the missing portion in a partially screened (hidden) collection of up to 10 objects Obj. 33 - Determine the basic addition fact shown by a picture model

Accelerated Math Grade 1 Mississippi, Math, 2007, First Grade, Accelerated Math Second Edition Grade 1 Obj. 37 - Determine the basic subtraction fact shown by a picture model Obj. 40 - Apply the relationship between addition and counting on Obj. 41 - Apply the relationship between subtraction and counting back Topic 2 - Algebraic Thinking Obj. 60 - Determine a missing addend in a basic addition fact number sentence Obj. 62 - Determine equivalent addition or subtraction expressions involving 1-digit numbers Obj. 63 - Determine a missing addend in an addition sentence with three 1-digit numbers Obj. 64 - WP: Determine a missing addend or subtrahend in a basic addition or subtraction fact number sentence MS 1.e - Find the sums of 3 singledigit addends (for example: 3 + 6 + 2 =11). (DOK 1) Topic 1 - Numbers and Obj. 42 - Know basic addition facts to 10 plus 10 Obj. 44 - Add three 1-digit numbers Obj. 46 - WP: Use basic addition or subtraction facts to solve problems MS 1.f - Justify addition and Topic 1 - Numbers and subtraction of two-digit whole numbers without regrouping. (DOK 2) Obj. 42 - Know basic addition facts to 10 plus 10 Obj. 43 - Know basic subtraction facts to 20 minus 10 Obj. 46 - WP: Use basic addition or subtraction facts to solve problems Obj. 49 - Add multiples of 10, sums to 90 Obj. 50 - Subtract multiples of 10 up to 90 Obj. 51 - Add zero to any number less than 100 Obj. 52 - Subtract zero from any number less than 100 Obj. 53 - Add a 2-digit and a 1-digit number without regrouping Obj. 54 - Add two 2-digit numbers without regrouping Page 2 of 89

Accelerated Math Grade 1 Mississippi, Math, 2007, First Grade, Accelerated Math Second Edition Grade 1 MS 1.g - Find equal money amounts with different coin combinations up to $0.25. (DOK 1) MS 1.h - Identify the value of coins (penny, nickel, dime, quarter). (DOK 1) MS 1.i - Determine the value of like coins up to $1.00. (DOK 1) MS 1.j - Find the value of mixed coins up to $1.00. (DOK 1) - Algebra MS 2 - Recognize, extend, and create patterns. MS 2.a - Use a pattern rule to translate and recognize patterns from one pattern representation to another. (DOK 2) MS 2.b - Formulate, explain, and generalize patterns within and across addition and subtraction. (DOK 2) Topic 1 - Numbers and Topic 1 - Numbers and Obj. 55 - Subtract a 1-digit number from a 2-digit number without regrouping Obj. 56 - Subtract a 2-digit number from a 2-digit number without regrouping Obj. 57 - WP: Add or subtract a 1- and 2-digit number without regrouping Obj. 58 - WP: Add or subtract two 2- digit numbers without regrouping Obj. 17 - Determine the value of a collection of like coins Obj. 18 - Determine the value of a collection of mixed coins Topic 2 - Algebraic Thinking Obj. 68 - Determine a pattern on a 1 to 100 chart MS 2.c - Model situations and solve equations that require addition and subtraction of whole numbers; use objects, pictures, and symbols. (DOK 2) MS 2.d - Count by different units when given a group of objects using 1's, 2's, 5's, and 10's. (DOK 1) Topic 1 - Numbers and Topic 1 - Numbers and Obj. 32 - Relate a picture model to a basic addition fact Obj. 33 - Determine the basic addition fact shown by a picture model Obj. 36 - Relate a picture model to a basic subtraction fact Obj. 37 - Determine the basic subtraction fact shown by a picture model Obj. 40 - Apply the relationship between addition and counting on Obj. 5 - Count objects to 20 Page 3 of 89

Accelerated Math Grade 1 Mississippi, Math, 2007, First Grade, Accelerated Math Second Edition Grade 1 Obj. 19 - Count objects grouped in tens and ones Obj. 21 - Recognize a number from a model of tens and ones to 100 - Geometry MS 3 - Identify and classify properties of two- and three-dimensional shapes. MS 3.a - Identify and classify twodimensional figures (triangle, square, Measurement Topic 3 - Geometry and rectangle, circle, trapezoid, hexagon, and rhombus). (DOK 1) MS 3.b - Identify and classify threedimensional figures (cube, rectangular prism, and sphere) according to their characteristics. (DOK 1) MS 3.c - Explain the part-whole relationships resulting from the composition or decomposition of plane and solid figures. (DOK 2) - Measurement MS 4 - Identify and apply measurable attributes. MS 4.a - Use nonstandard units (paper clips, unifix cubes, etc.) and standard units (inches, centimeters) to measure length. (DOK 1) Topic 1 - Numbers and Obj. 81 - Identify a circle, a triangle, a square, or a rectangle Obj. 59 - Identify a shape divided into equal parts MS 4.b - Compare weight of objects using a balance scale with and without nonstandard units. (DOK 1) MS 4.c - Compare and estimate capacity of various containers in nonstandard units. (DOK 2) MS 4.d - Tell time to the hour and half-hour intervals using both digital and analog clocks. (DOK 1) - Data Analysis & Probability MS 5 - Collect, organize, and interpret data in graphical form. MS 5.a - Gather data, construct, and interpret simple bar graphs and pictographs. (DOK 2) Page 4 of 89 Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Topic 4 - Data Analysis and Statistics Obj. 70 - Compare objects using the vocabulary of measurement Obj. 76 - Tell time to the hour Obj. 77 - Tell time to the half hour Obj. 91 - Read a picture graph Obj. 92 - Use a picture graph to represent groups of objects (1 symbol = 1 object)

Accelerated Math Grade 1 Mississippi, Math, 2007, First Grade, Accelerated Math Second Edition Grade 1 Obj. 94 - Read a pictograph (1 symbol = 1 object) Obj. 95 - Use a pictograph to represent groups of objects (1 symbol = 1 object) Obj. 97 - Read a bar graph Obj. 98 - Use a bar graph to represent groups of objects Obj. 99 - Answer a question using MS 5.b - Analyze and interpret data Topic 4 - Data Analysis and by using mathematical language such Statistics as more than, less than, etc. (DOK 1) information from a bar graph Obj. 99 - Answer a question using information from a bar graph Page 5 of 89

Accelerated Math Grade 2 Mississippi, Math, 2007, Second Grade, State Frameworks, State Department - Number and MS 1 - Understand and represent relationships among numbers and operations (addition, subtraction, and multiplication). Compute fluently using effective strategies or rote memory. MS 1.a - Recall addition and subtraction facts. (DOK 1) MS 1.b - Justify addition and subtraction of two- and three-digit whole numbers with and without regrouping. (DOK 2) Accelerated Math Second Edition Grade 2 Topic 1 - Number Sense and Obj. 24 - Determine a number pair that totals 100 Obj. 25 - Determine a number pair that totals 1,000 Obj. 26 - Determine cent amounts that total a dollar Obj. 28 - Add two 3-digit numbers without regrouping Obj. 29 - Add two 2-digit numbers with regrouping, given a model Obj. 30 - Add money values using cents or dollars with regrouping Obj. 31 - Add a 2-digit number to a 1- digit number with regrouping Obj. 32 - Add two 2-digit numbers with regrouping Obj. 33 - Add three 2-digit numbers with one regrouping, sum less than 100 Obj. 34 - Add 2- and 3- digit numbers with no more than one regrouping Page 6 of 89 Obj. 35 - Add two 3-digit numbers with one regrouping Obj. 36 - Subtract a 3-digit number from a 3-digit number without regrouping Obj. 37 - Subtract money values using cents or dollars with one regrouping Obj. 38 - Subtract a 1- or 2-digit number from a 2-digit number with one regrouping Obj. 39 - Subtract a 1- or 2-digit number from a 3-digit number with one regrouping Obj. 40 - Subtract a 3-digit number from a 3-digit number with one regrouping Obj. 41 - WP: Add or subtract numbers without regrouping

Accelerated Math Grade 2 Mississippi, Math, 2007, Second Accelerated Math Second Edition Grade 2 Grade, State Frameworks, State Department Obj. 42 - WP: Add or subtract up to 2- digit numbers with one regrouping MS 1.c - Compose and decompose Topic 1 - Number Sense and three-digit numbers with representations in words and physical models. (DOK 2) MS 1.d - Round up to three-digit whole numbers to the nearest hundreds. (DOK 1) MS 1.e - Compare and order threedigit numbers using the symbols <, >, and =, and justify reasoning. (DOK 1) Topic 1 - Number Sense and Obj. 12 - Model a number using hundreds, tens, and ones to 1,000 Obj. 13 - Recognize a number from a model of hundreds, tens, and ones to 1,000 Obj. 14 - Represent a 3-digit number as hundreds, tens, and ones Obj. 15 - Determine the 3-digit number represented as hundreds, tens, and ones Obj. 20 - Compare whole numbers to 1,000 using words Obj. 21 - Compare whole numbers to 1,000 using the symbols <, >, and = MS 1.f - Determine and compare the value of money up to $5.00 using the appropriate symbols for dollars and cents. (DOK 1) - Algebra MS 2 - Analyze patterns, numbers, relationships, and functions. MS 2.a - Explain, analyze, and extend repeating and growing patterns. (DOK 2) Page 7 of 89 Topic 1 - Number Sense and Topic 2 - Algebraic Thinking Obj. 22 - Order whole numbers to 1,000 in ascending order Obj. 23 - Order whole numbers to 1,000 in descending order Obj. 17 - Determine the value of a collection of bills and coins Obj. 18 - Translate between a dollar sign and a cent sign Obj. 71 - Determine the rule for an addition or subtraction number pattern Obj. 72 - Extend a number pattern involving addition Obj. 73 - Extend a number pattern involving subtraction Obj. 74 - Extend a pattern given a table of related number pairs Obj. 75 - Determine a repeating pattern corresponding to the same pattern expressed using different elements

Accelerated Math Grade 2 Mississippi, Math, 2007, Second Accelerated Math Second Edition Grade 2 Grade, State Frameworks, State Department MS 2.b - Use number patterns to skip count by 2's, 3's, 5's, and 10's. (DOK 1) 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 MS 2.c - Model situations and solve equations that involve the addition and subtraction of whole numbers. (DOK 2) Topic 1 - Number Sense and Topic 2 - Algebraic Thinking Obj. 43 - Apply the inverse relationship between addition and subtraction with 2- and 3-digit numbers Obj. 65 - Determine a missing addend in a number sentence involving 2-digit numbers Obj. 66 - Determine a missing subtrahend in a number sentence involving 2-digit numbers Obj. 67 - Determine equivalent addition expressions involving 2-digit numbers Obj. 68 - WP: Determine a missing addend or a missing subtrahend involving 2-digit numbers Obj. 69 - WP: Use an open sentence to represent a given situation MS 2.d - Analyze and generalize the inverse relationships between addition and subtraction. (DOK 2) - Geometry MS 3 - Describe, classify, and sort geometric figures according to their properties. MS 3.a - Recognize and identify polygons (rhombus, square, triangle, trapezoid, rectangle, pentagon, hexagon, octagon, and decagon) according to the number of sides. (DOK 1) MS 3.b - Describe the effects of composition and decomposition of polygons when smaller shapes are substituted for a larger shape or a larger shape is substituted for smaller ones. (DOK 2) MS 3.c - Identify and classify threedimensional figures (cone, pyramid, and cylinder) according to their characteristics. (DOK 1) - Measurement MS 4 - Estimate, identify, and apply measurable attributes. Page 8 of 89 Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Obj. 85 - Identify a parallelogram, a trapezoid, a pentagon, a hexagon, or an octagon Obj. 86 - Decompose a plane shape composed of three or more simpler shapes Obj. 87 - Name a 3-dimensional geometric shape

Accelerated Math Grade 2 Mississippi, Math, 2007, Second Accelerated Math Second Edition Grade 2 Grade, State Frameworks, State Department MS 4.a - Select appropriate tools and units, estimate, and measure length (to the nearest inch, foot, yard, centimeter, and meter), capacity (to the nearest ounce, cup, pint, quart, gallon, and liter), and weight (to the nearest ounce, pound, gram, and kilogram). (DOK 2) Topic 3 - Geometry and Measurement Obj. 76 - Measure length in inches MS 4.b - Read and write time to the Topic 3 - Geometry and hour, half-hour, quarter-hour, and five-measuremenminute intervals using digital and analog clocks. (DOK 1) - Data Analysis and Probability MS 5 - Organize and interpret data in graphical form. MS 5.a - Tally, record, interpret, and predict outcomes based on given information. (DOK 3) MS 5.b - Create line graphs, bar graphs, and pictographs using real data. (DOK 2) Topic 4 - Data Analysis and Statistics Topic 4 - Data Analysis and Statistics Obj. 77 - Measure length in centimeters Obj. 78 - Tell time to the quarter hour Obj. 79 - Tell time to 5-minute intervals Obj. 90 - Read a multi-category tally chart Obj. 91 - Use a tally chart to represent data Obj. 92 - Answer a question using information from a tally chart Obj. 93 - Read a pictograph (1 symbol = more than 1 object) Obj. 95 - Answer a question using information from a pictograph (1 symbol = more than 1 object) Obj. 96 - Read a bar graph with a y- axis scale by 2s Obj. 98 - Answer a question using information from a bar graph with a y- axis scale by 2s Obj. 94 - Use a pictograph to represent data (1 symbol = more than 1 object) Obj. 97 - Use a bar graph with a y- axis scale by 2s to represent data Page 9 of 89

Accelerated Math Grade 3 Mississippi, Math, 2007, Third Grade, - Number and MS 1 - Understand and represent number relationships among numbers and the four basic operations. Compute fluently and make reasonable estimates. MS 1.a - Compose and decompose four-digit whole numbers with representations in words, physical models, and expanded and standard forms. (DOK 1) Accelerated Math Second Edition Grade 3 Topic 1 - Number Sense and 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 MS 1.b - Compare and order fourdigit numbers using <, >, and =, and justify reasoning. (DOK 2) MS 1.c - Estimate sums and differences of whole numbers to include strategies such as rounding. (DOK 2) MS 1.d - Identify and model representations of fractions (halves, thirds, fourths, fifths, sixths, and eighths). (DOK 1) Topic 1 - Number Sense and Topic 1 - Number Sense and Topic 1 - Number Sense and 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. 11 - Compare 4- or 5-digit whole numbers using the symbols <, >, and = Obj. 12 - Order 4- or 5-digit whole numbers in ascending or descending order Obj. 28 - Estimate a sum or difference of whole numbers to 10,000 by rounding Obj. 29 - Estimate a sum or difference of two 3- to 4-digit whole numbers using front-end estimation Obj. 30 - Estimate a sum or difference of 2- to 4-digit whole numbers using any method Obj. 31 - Estimate a sum of three 2- to 4-digit numbers using any method Obj. 32 - WP: Estimate a sum or difference of two 3- or 4-digit whole numbers using any method Obj. 44 - Determine a pictorial model of a fraction of a whole Obj. 45 - Determine a pictorial model of a fraction of a set of objects Page 10 of 89

Accelerated Math Grade 3 Mississippi, Math, 2007, Third Grade, Accelerated Math Second Edition Grade 3 MS 1.e - Add (up to three addends) Topic 1 - Number Sense and and subtract four-digit whole numbers with and without regrouping. (DOK 1) MS 1.f - Model multiplication using arrays, equal-sized groups, area models, and equal-sized moves on the number line. MS 1.g - Model division with successive or repeated subtraction, partitioning, and sharing. (DOK 2) - Algebra MS 2 - Explain, analyze, and generate patterns, relationships, and functions using algebraic symbols. Topic 1 - Number Sense and Topic 1 - Number Sense and Obj. 13 - Add 3- and 4-digit numbers with regrouping Obj. 14 - Add three 2- to 3-digit whole numbers Obj. 15 - Subtract 3- and 4-digit numbers with regrouping Obj. 16 - WP: Add or subtract 3- and 4-digit whole numbers with regrouping Obj. 33 - Use a multiplication sentence to represent an area or an array model Obj. 34 - Use a division sentence to represent objects divided into equal groups MS 2.a - Create, describe, and extend growing and repeating patterns with physical materials and symbols including numbers. (DOK 2) MS 2.b - Determine the value of missing quantities or variables within equations or number sentences, and justify the process used. (DOK 2) MS 2.c - Use real number properties to develop multiple algorithms and to solve problems. (DOK 2) MS 2.c.1 - Use real number properties to develop multiple algorithms and to solve problems. Associative property of addition MS 2.c.2 - Use real number properties to develop multiple algorithms and to solve problems. Commutative property of addition Topic 2 - Algebraic Thinking Topic 2 - Algebraic Thinking Obj. 64 - Extend a number pattern Obj. 56 - Determine the missing addend in a number sentence involving 3-digit numbers Obj. 57 - Determine the missing subtrahend in a number sentence involving 3-digit numbers Page 11 of 89

Accelerated Math Grade 3 Mississippi, Math, 2007, Third Grade, Accelerated Math Second Edition Grade 3 MS 2.c.3 - Use real number properties to develop multiple algorithms and to solve problems. Identity property of addition MS 2.d - Model and identify the inverse relationships of addition/subtraction. (DOK 2) MS 2.e - Create models for the concept of equality, recognizing that the equal sign (=) denotes equivalent terms such that 4 + 3 = 7, 4 + 3 = 6 + 1 or 7 = 5 + 2. (DOK 1) - Geometry MS 3 - Describe, compare, and contrast two- and three-dimensional shapes and relationships. MS 3.a - Describe, compare, analyze, and classify two-dimensional shapes by sides and angles. (DOK 1) Topic 3 - Geometry and Measurement Obj. 95 - Determine attributes of a triangle or a quadrilateral from a model Obj. 96 - Relate a model of a triangle or a quadrilateral to a list of attributes MS 3.b - Explain and describe the process of decomposing, composing, and transforming polygons. (DOK 2) MS 3.c - Create three-dimensional shapes (prisms and pyramids) from two-dimensional nets, and create twodimensional nets from prisms and pyramids. (DOK 2) - Measurement MS 4 - Measure and explain the measurable attributes of objects, units, systems, and processes. MS 4.a - Develop and use methods to find perimeter of polygons and to solve problems involving perimeter. (DOK 2) MS 4.b - Estimate and measure length using fractional parts to the nearest ½ inch in the English system. (DOK 2) Page 12 of 89 Topic 3 - Geometry and Measurement Obj. 86 - Determine a method for finding the perimeter of a shape given the side lengths Obj. 87 - WP: Determine the perimeter of a rectangular shape given a grid with a reference unit Obj. 88 - WP: Determine the perimeter of a shape given a model showing all side lengths

Accelerated Math Grade 3 Mississippi, Math, 2007, Third Grade, Accelerated Math Second Edition Grade 3 MS 4.c - Measure capacity, weight/mass, and length in both English and metric systems of measurement. (DOK 1) - Data Analysis & Probability MS 5 - Interpret and analyze data. Explore basic concepts of probability. MS 5.a - Compare data and interpret quantities represented on tables and different types of graphs (line plots, pictographs, and bar graphs), make predictions, and solve problems based on the information. (DOK 3) MS 5.b - Analyze, predict, and model the number of different combinations of two or more objects and relate to multiplication. (DOK 2) Topic 4 - Data Analysis, Statistics, and Probability Obj. 106 - Answer a question using information from a bar graph with a scale interval of 5 or 10 Obj. 107 - Read a line plot Obj. 109 - Answer a question using information from a line plot Obj. 111 - Answer a question using information from a frequency table Page 13 of 89

Accelerated Math Grade 4 Mississippi, Math, 2007, Fourth Grade, State Frameworks, State Department - Number and MS 1 - Understand relationships among numbers, use the four basic operations, compute fluently, and make reasonable estimates. MS 1.a - Add and subtract up to fivedigit whole numbers with and without regrouping. (DOK 1) Accelerated Math Second Edition Grade 4 Topic 1 - Number Sense and Obj. 9 - Add up to 4-digit whole numbers in expanded form Obj. 10 - Add a 5-digit or greater whole number and a 3-digit or greater whole number Obj. 11 - Add three multi-digit whole numbers Obj. 12 - Subtract a smaller number from a 3- or 4-digit whole number in expanded form Obj. 13 - Subtract a 3-digit or greater whole number from a 5-digit or greater whole number Obj. 14 - WP: Add a 5-digit or greater whole number and a 3-digit or greater whole number Obj. 15 - WP: Add three multi-digit whole numbers Obj. 16 - WP: Subtract a 3-digit or greater whole number from a 5-digit or greater whole number Obj. 19 - WP: Solve a 2-step problem involving addition and/or subtraction of multi-digit whole numbers MS 1.b - Add and subtract decimals through hundredths. (DOK 1) MS 1.c - Explain two or more methods of multiplying whole numbers (one- and two-digits) with justification. (DOK 2) Topic 1 - Number Sense and Topic 1 - Number Sense and Obj. 75 - Add two decimal numbers through hundredths Obj. 76 - Subtract two decimal numbers through hundredths Obj. 77 - WP: Add or subtract money amounts greater than $1 Obj. 20 - Multiply a 1- or 2-digit whole number by a multiple of 10, 100, or 1,000 Obj. 24 - Multiply a 2-digit whole number by a 2-digit whole number Obj. 26 - Multiply three 1- and 2-digit whole numbers Obj. 28 - WP: Multiply a 2-digit whole number by a 2-digit whole number Page 14 of 89

Accelerated Math Grade 4 Mississippi, Math, 2007, Fourth Accelerated Math Second Edition Grade 4 Grade, State Frameworks, State Department MS 1.d - Explain two or more Topic 1 - Number Sense and methods of dividing four-digit dividends by one- and two-digit divisors, with and without remainders, and justify the processes. (DOK 2) Obj. 33 - Divide a multi-digit whole number by 10 or 100 with no remainder Obj. 34 - Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Obj. 35 - Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient Obj. 36 - Divide a 2-digit whole number by a 1-digit whole number with a remainder in the quotient Obj. 37 - Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient Obj. 38 - WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Obj. 39 - WP: Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient Obj. 40 - WP: Divide a 2-digit whole number by a 1-digit whole number with a remainder in the quotient Obj. 41 - WP: Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotient MS 1.e - Add and subtract fractions with like denominators. (DOK 1) Topic 1 - Number Sense and Obj. 54 - Add fractions with like denominators no greater than 10 using models Obj. 55 - Add fractions with like denominators no greater than 10 Obj. 58 - Subtract fractions with like denominators no greater than 10 using models Obj. 59 - Subtract fractions with like denominators no greater than 10 MS 1.f - Model and identify equivalent Topic 1 - Number Sense and fractions. (DOK 2) MS 1.g - Represent equivalence Topic 1 - Number Sense and relationships between fractions and decimals using concrete materials, diagrams, or other models. (DOK 1) Page 15 of 89 Obj. 51 - Determine a set of equivalent fractions Obj. 70 - Determine the decimal number equivalent to a fraction model

Accelerated Math Grade 4 Mississippi, Math, 2007, Fourth Accelerated Math Second Edition Grade 4 Grade, State Frameworks, State Department Obj. 71 - Determine the fraction equivalent to a decimal number MS 1.h - Estimate products and quotients of whole numbers to include strategies such as rounding. (DOK 2) MS 1.i - Recall multiplication and division facts. (DOK 1) MS 1.j - Compose and decompose five-digit numbers and decimal numbers through hundredths, with representations in words, physical models, and expanded and standard forms. (DOK 1) MS 1.k - Determine and use benchmark numbers such as 0, 0.5 (½), and 1 to judge the magnitude of whole numbers, decimals, and fractions. (DOK 2) MS 1.l - Model factors and multiples of whole numbers. (DOK 1) - Algebra MS 2 - Analyze and represent patterns, number relationships, and functions using algebraic symbols. Demonstrate an understanding of the properties of the basic operations. Topic 1 - Number Sense and Topic 1 - Number Sense and model Obj. 30 - Estimate a product of whole numbers by rounding Obj. 31 - Estimate a product of whole numbers using any method Obj. 32 - WP: Estimate a product of two whole numbers using any method 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. 7 - Convert between proper expanded form and improper expanded form up to a 5-digit whole number Obj. 8 - Convert between standard form and improper expanded form up to a 5-digit whole number Obj. 62 - Read a decimal number through the hundredths place Obj. 63 - Determine the word form of a decimal number through the hundredths place Page 16 of 89

Accelerated Math Grade 4 Mississippi, Math, 2007, Fourth Accelerated Math Second Edition Grade 4 Grade, State Frameworks, State Department MS 2.a - Analyze a given numeric pattern and generate a similar pattern. (DOK 2) MS 2.b - Determine the value of variables in equations; justify the process used to make the determination. (DOK 2) MS 2.c - Construct input/output function tables and generalize the rule using words, models, and symbols. (DOK 3) MS 2.d - Explain the properties of the basic operations using models, numbers, and variables: (DOK 2) MS 2.d.1 - Explain the properties of the basic operations using models, numbers, and variables: Zero property of multiplication MS 2.d.2 - Explain the properties of the basic operations using models, numbers, and variables: Associative properties of addition and multiplication MS 2.d.3 - Explain the properties of the basic operations using models, numbers, and variables: Commutative properties of addition and multiplication MS 2.d.4 - Explain the properties of the basic operations using models, numbers, and variables: Identity properties of addition and multiplication MS 2.d.5 - Explain the properties of the basic operations using models, numbers, and variables: Distributive properties of multiplication over addition and subtraction Topic 2 - Algebra Topic 2 - Algebra Topic 1 - Number Sense and Obj. 85 - Solve a 1-step addition or subtraction equation using a model Obj. 90 - Generate a table of paired numbers based on a rule Obj. 91 - Determine a rule that relates two variables Obj. 21 - Apply the distributive property to the multiplication of a 2- digit number by a 1- or 2-digit number MS 2.e - Demonstrate and explain the inverse operations of addition/subtraction and multiplication/division. (DOK 2) - Geometry Obj. 22 - Apply the distributive property to multiply a multi-digit number by a 1-digit number Page 17 of 89

Accelerated Math Grade 4 Mississippi, Math, 2007, Fourth Accelerated Math Second Edition Grade 4 Grade, State Frameworks, State Department MS 3 - Analyze characteristics, properties, and relationships of twoand three-dimensional geometric shapes. Use coordinate geometry. MS 3.a - Analyze and describe the similarities and differences between and among two- and threedimensional geometric shapes, figures, and models using mathematical language. (DOK 2) MS 3.b - Identify and analyze the relationships between and among points, lines, line segments, angles, and rays. (DOK 2) MS 3.c - Identify transformations (rotations [turns], reflections [flips], and translations [slides]) of twodimensional figures. (DOK 1) MS 3.d - Locate ordered pairs in the first quadrant of the coordinate plane. (DOK 1) - Measurement MS 4 - Evaluate and justify measurable attributes of objects, units, systems, and processes. Perform measurements. MS 4.a - Estimate and measure a given object to the nearest eighth of an inch. (DOK 2) MS 4.b - Convert capacity, weight/mass, and length within the English and metric systems of measurement. (DOK 1) Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Obj. 130 - Determine the result of a flip, a turn, or a slide Obj. 133 - Identify the location of an ordered pair in the first quadrant using compass directions Obj. 134 - Determine the ordered pair of a point in the first quadrant using compass directions Obj. 93 - Measure length to the nearest eighth of an inch Obj. 95 - Convert between customary units of capacity using whole numbers Obj. 96 - Convert between customary units of weight using whole numbers Obj. 97 - Convert between metric units of capacity using whole numbers Obj. 98 - Convert between metric units of mass using whole numbers MS 4.c - Describe relationships of rectangular area to numerical multiplication. (DOK 2) Obj. 99 - Convert between millimeters and centimeters or meters using whole numbers Page 18 of 89

Accelerated Math Grade 4 Mississippi, Math, 2007, Fourth Accelerated Math Second Edition Grade 4 Grade, State Frameworks, State Department MS 4.d - Use appropriate tools to determine, estimate, and compare units for measurement of weight/mass, area, size of angle, temperature, length, distance, and volume in English and metric systems and time in real-life situations. (DOK 1) - Data Analysis & Probability MS 5 - Formulate and analyze data. Evaluate inferences and predictions. Topic 3 - Geometry and Measurement Obj. 94 - Measure length to the nearest millimeter MS 5.a - Draw, label, and interpret bar graphs, line graphs, and stemand-leaf plots. (DOK 2) MS 5.b - Find and interpret the mean, mode, median, and range of a set of data. (DOK 1) MS 5.c - Compare data and interpret quantities represented on tables and graphs including line graphs, bar graphs, frequency tables, and stemand-leaf plots to make predictions and solve problems based on the information. (DOK 3) Topic 4 - Data Analysis, Statistics, and Probability Obj. 135 - Read a line graph Obj. 136 - Use a line graph to represent data Obj. 137 - Answer a question using information from a line graph Page 19 of 89

Accelerated Math Grade 5 Mississippi, Math, 2007, Fifth Grade, Accelerated Math Second Edition Grade 5 - Number and MS 1 - Analyze relationships among numbers and the four basic operations, compute fluently, and make reasonable estimates. MS 1.a - Compare and order Topic 1 - Number Sense and integers, decimals to the nearest thousandths, like and unlike fractions, and mixed numbers using >, <, and =. (DOK 1) Obj. 33 - Compare fractions with unlike denominators Obj. 34 - Order fractions with unlike denominators in ascending or descending order Obj. 72 - Compare decimal numbers to thousandths represented in expanded form Obj. 73 - Compare decimal numbers of differing places to thousandths MS 1.b - Compose and decompose Topic 1 - Number Sense and seven-digit numbers and decimals through thousandths in word, standard, and expanded forms. (DOK 1) MS 1.c - Identify factors and multiples of whole numbers. (DOK 1) MS 1.d - Model and distinguish between prime and composite numbers. (DOK 1) MS 1.e - Model and identify equivalent fractions including conversion of improper fractions to mixed numbers and vice versa. (DOK 1) MS 1.f - Add, subtract, multiply, and divide (with and without remainders) using nonnegative rational numbers. (DOK 1) Page 20 of 89 Topic 1 - Number Sense and Topic 1 - Number Sense and Topic 1 - Number Sense and Topic 1 - Number Sense and Obj. 74 - Order decimal numbers of differing places to thousandths in ascending or descending order Obj. 70 - Determine a decimal number represented in expanded form Obj. 71 - Represent a decimal number in expanded form Obj. 2 - Determine a complete list of whole number factor pairs for a number to 50 Obj. 3 - Determine all the factors of a whole number to 50 Obj. 7 - Determine the multiple(s) of a number Obj. 1 - Determine if a number to 50 is prime or composite Obj. 31 - Determine equivalent fractions not in simplest form Obj. 47 - Convert a mixed number to an improper fraction Obj. 48 - Convert an improper fraction to a mixed number Obj. 11 - Multiply a 3- or 4-digit whole number by a 3-digit whole number

Accelerated Math Grade 5 Mississippi, Math, 2007, Fifth Grade, Accelerated Math Second Edition Grade 5 Obj. 12 - WP: Multiply a 3- or 4-digit whole number by a 3-digit whole number Obj. 13 - Divide a multi-digit whole number by multiples of 100 or 1,000 Obj. 14 - Divide a multi-digit whole number by a 1-digit number with no remainder and at least one zero in the quotient Obj. 15 - Divide a multi-digit whole number by a 1-digit number with a remainder and at least one zero in the quotient Obj. 16 - Divide a multi-digit whole number by a 1-digit number and express the quotient as a mixed number Obj. 17 - Divide a multi-digit whole number by a 1-digit number and express the quotient as a decimal Obj. 18 - Divide a multi-digit whole number by a 2-digit whole number, with no remainder and no zeros in the quotient Obj. 19 - Divide a multi-digit whole number by a 2-digit whole number, with a remainder and no zeros in the quotient Obj. 20 - Divide a multi-digit whole number by a 2-digit whole number, with no remainder and at least one zero in the quotient Obj. 21 - Divide a multi-digit whole number by a 2-digit whole number, with a remainder and at least one zero in the quotient Obj. 22 - Divide a multi-digit whole number by a 2-digit whole number and express the quotient as a mixed number Obj. 23 - WP: Divide a whole number, with no remainder Obj. 24 - WP: Divide a whole number and interpret the remainder Obj. 25 - WP: Solve a 2-step problem involving whole numbers Obj. 35 - Add fractions with like denominators greater than 10 and simplify the sum Page 21 of 89

Accelerated Math Grade 5 Mississippi, Math, 2007, Fifth Grade, Accelerated Math Second Edition Grade 5 Obj. 36 - Add fractions with unlike denominators using a model and do not simplify the sum Obj. 37 - Add fractions with unlike denominators and do not simplify the sum Obj. 38 - Add fractions with unlike denominators that have factors in common and simplify the sum Obj. 39 - Add fractions with unlike denominators that have no factors in common Obj. 41 - Subtract fractions with unlike denominators using a model and do not simplify the difference Obj. 42 - Subtract fractions with unlike denominators and do not simplify the difference Obj. 43 - Subtract fractions with unlike denominators that have factors in common and simplify the difference Obj. 44 - Subtract fractions with unlike denominators that have no factors in common Obj. 45 - WP: Add or subtract fractions with like denominators and simplify the sum or difference Obj. 46 - WP: Add or subtract fractions with unlike denominators that have no factors in common Obj. 54 - WP: Add or subtract mixed numbers with unlike denominators that have no factors in common Page 22 of 89 Obj. 59 - Multiply a whole number by a unit fraction using a model Obj. 60 - Multiply a whole number by a unit fraction Obj. 61 - Multiply a proper fraction by a whole number using a model Obj. 62 - Multiply a proper fraction by a whole number Obj. 63 - Divide a whole number by a unit fraction using a model Obj. 64 - Divide a whole number by a unit fraction Obj. 65 - Divide a unit fraction by a whole number Obj. 66 - Divide a whole number by a fraction, with a whole number quotient using a model

Accelerated Math Grade 5 Mississippi, Math, 2007, Fifth Grade, Accelerated Math Second Edition Grade 5 Obj. 67 - Divide a whole number by a fraction, with a whole number quotient Obj. 68 - WP: Multiply or divide a whole number by a unit fraction Obj. 75 - Add two decimal numbers of differing places to thousandths Obj. 76 - Add three or more decimal numbers Obj. 77 - Add decimal numbers and whole numbers Obj. 78 - Subtract two decimal numbers of differing places to thousandths Obj. 79 - Subtract a decimal number from a whole number or a whole number from a decimal number MS 1.g - Estimate sums, differences, products, and quotients of nonnegative rational numbers to include strategies such as front-end rounding, benchmark numbers, compatible numbers, and rounding. (DOK 2) Page 23 of 89 Topic 1 - Number Sense and Obj. 80 - WP: Add or subtract decimal numbers through thousandths Obj. 81 - WP: Add or subtract a decimal number through thousandths and a whole number Obj. 86 - Multiply a decimal number through thousandths by 10, 100, or 1,000 Obj. 87 - WP: Multiply a decimal through thousandths by 10, 100, or 1,000 Obj. 88 - Multiply a money amount by a 2- or 3-digit whole number Obj. 89 - WP: Multiply a money amount by a 2-digit whole number Obj. 27 - Estimate a quotient using compatible numbers Obj. 28 - Estimate a quotient using any method Obj. 29 - WP: Estimate a quotient using any method Obj. 56 - Estimate a fraction sum using benchmark numbers 0, 1/2, and 1 Obj. 57 - Estimate a fraction difference using benchmark numbers 0, 1/2, and 1

Accelerated Math Grade 5 Mississippi, Math, 2007, Fifth Grade, Accelerated Math Second Edition Grade 5 - Algebra MS 2 - Explain and analyze number relationships and functions using algebraic symbols, and demonstrate an understanding of the properties of the basic operations. Obj. 58 - WP: Estimate a fraction sum or difference using benchmark numbers 0, 1/2, and 1 Obj. 83 - Estimate the sum of two decimal numbers through thousandths and less than 1 by rounding to a specified place Obj. 84 - Estimate the difference of two decimal numbers through thousandths and less than 1 by rounding to a specified place Obj. 85 - WP: Estimate the sum or difference of two decimal numbers through thousandths using any method MS 2.a - Determine the value of variables in equations and inequalities, justifying the process. (DOK 2) MS 2.b - Devise a rule for an input/output function table, describing it in words and symbols. (DOK 2) MS 2.c - Apply the properties of basic operations to solve problems: (DOK 2) MS 2.c.1 - Apply the properties of basic operations to solve problems: Zero property of multiplication Topic 2 - Algebra Obj. 108 - Determine the variable expression with one operation for a table of paired numbers Obj. 110 - WP: Determine the variable expression with one operation for a table of paired numbers MS 2.c.2 - Apply the properties of basic operations to solve problems: Commutative properties of addition and multiplication MS 2.c.3 - Apply the properties of basic operations to solve problems: Associative properties of addition and multiplication Page 24 of 89

Accelerated Math Grade 5 Mississippi, Math, 2007, Fifth Grade, Accelerated Math Second Edition Grade 5 MS 2.c.4 - Apply the properties of basic operations to solve problems: Distributive properties of multiplication over addition and subtraction MS 2.c.5 - Apply the properties of basic operations to solve problems: Identity properties of addition and multiplication MS 2.d - Apply inverse operations of addition/subtraction and multiplication/division to problemsolving situations. (DOK 2) - Geometry MS 3 - Develop mathematical arguments about geometric relationships and describe spatial relationships using coordinate geometry. MS 3.a - Analyze and describe the characteristics of symmetry relative to classes of polygons (parallelograms, triangles, etc.). (DOK 2) MS 3.b - Explain the relationships between coordinates in each quadrant of the coordinate plane. (DOK 2) MS 3.c - Describe the characteristics, Topic 3 - Geometry and including the relationship of the preimage and the image, of each type of Measurement transformation (rotations [turns], reflections [flips], and translations [slides]) of two-dimensional figures. (DOK 2) MS 3.d - Construct and analyze twoand three-dimensional shapes to solve problems involving congruence and symmetry. (DOK 3) Topic 3 - Geometry and Measurement Obj. 146 - Determine the result of a reflection, a rotation, or a translation on a grid Obj. 147 - Determine the transformation that generates the image of a figure on a grid Obj. 145 - Identify a figure that has reflectional or rotational symmetry MS 3.e - Label ordered pairs in the coordinate plane. (DOK 1) Page 25 of 89 Topic 2 - Algebra Topic 3 - Geometry and Measurement Obj. 111 - Use a first quadrant graph to represent the values from a table generated in context Obj. 150 - Determine the location of an ordered pair in the first quadrant Obj. 151 - Determine the ordered pair of a point in the first quadrant

Accelerated Math Grade 5 Mississippi, Math, 2007, Fifth Grade, Accelerated Math Second Edition Grade 5 - Measurement MS 4 - Develop concepts and apply appropriate tools and techniques to determine units of measure. MS 4.a - Estimate and measure length to nearest millimeter in the metric system and one-sixteenth inch in the English system. (DOK 2) MS 4.b - Convert units within a given measurement system to include length, weight/mass, and volume. (DOK 1) Topic 3 - Geometry and Measurement Obj. 113 - Convert between customary units of length using fractional amounts Obj. 114 - Convert between customary units of capacity using fractional amounts Obj. 115 - Convert between customary units of weight using fractional amounts Obj. 116 - Convert between metric units of capacity using decimal amounts Obj. 117 - Convert between metric units of mass using decimal amounts MS 4.c - Develop, compare, and use formulas to estimate and calculate the perimeter and area of rectangles, triangles, and parallelograms. (DOK 2) Topic 3 - Geometry and Measurement Obj. 118 - Convert between millimeters or centimeters and meters, or meters and kilometers using decimal amounts Obj. 126 - Use a formula to determine the area of a triangle Obj. 128 - Use a formula to determine the area of a parallelogram MS 4.d - Select and apply appropriate units for measuring length, mass, volume, and temperature in the standard (English and metric) systems. (DOK 1) Topic 3 - Geometry and Measurement Obj. 129 - WP: Determine the area of a triangle Obj. 130 - WP: Determine the area of a square or rectangle Obj. 112 - Determine an appropriate unit of measure - Data Analysis & Probability MS 5 - Interpret and analyze data and make predictions. Page 26 of 89

Accelerated Math Grade 5 Mississippi, Math, 2007, Fifth Grade, Accelerated Math Second Edition Grade 5 MS 5.a - Use the mean, median, mode, and range to analyze a data set. (DOK 2) MS 5.b - Compare data and interpret quantities represented on tables and graphs, including line graphs, stemand-leaf plots, histograms, and boxand-whisker plots to make predictions, and solve problems based on the information. (DOK 2) Topic 4 - Data Analysis, Statistics, and Probability Topic 4 - Data Analysis, Statistics, and Probability Obj. 161 - Determine the mean of a set of whole number data, whole number results Obj. 162 - Determine the median of an odd number of data values Obj. 163 - Determine the mode of a set of whole number data Obj. 164 - Determine the range of a set of whole number data Obj. 152 - Answer a question using information from a line graph that does not start at zero or has a broken vertical scale Obj. 153 - WP: Extend a line graph to solve a problem Obj. 157 - Use information from a table or a chart to solve a problem Page 27 of 89

Accelerated Math Grade 6 Mississippi, Math, 2007, Sixth Grade, Accelerated Math Second Edition Grade 6 - Number and MS 1 - Analyze numbers using place value and prime factorization. Solve problems involving basic operations of rational numbers. Topic 1 - Number Sense and Obj. 1 - Determine the prime factorization of a number between 50 and 200 Obj. 9 - Divide a whole number by a 1-digit whole number resulting in a decimal quotient through thousandths Obj. 10 - Divide a whole number by a 2-digit whole number resulting in a decimal quotient through thousandths Obj. 11 - WP: Divide a whole number by a 1- or 2-digit whole number resulting in a decimal quotient Obj. 12 - WP: Solve a multi-step problem involving whole numbers Obj. 40 - Add three decimal numbers MS 1.a - Compare and order rational numbers using symbols (<, >, and =) and a number line. (DOK 1) MS 1.b - Use estimation strategies to determine the reasonableness of results in a variety of situations including rational number computations. (DOK 2) MS 1.c - Determine the Greatest Common Factor (GCF) and Least Common Multiple (LCM) of two numbers. (DOK 2) MS 1.d - Compute using basic operations with fractions and mixed numbers. Express answers in the simplest form. (DOK 1) Page 28 of 89 Topic 1 - Number Sense and Topic 1 - Number Sense and Topic 1 - Number Sense and Topic 1 - Number Sense and Obj. 41 - Add and subtract three decimal numbers Obj. 42 - WP: Add and subtract three decimal numbers Obj. 67 - WP: Solve a 2-step problem involving decimals Obj. 76 - Compare numbers in decimal and fractional forms Obj. 77 - Order numbers in decimal and fractional forms Obj. 52 - WP: Estimate the product of two decimals Obj. 66 - WP: Estimate the quotient of two decimals Obj. 4 - WP: Determine the least common multiple of two or more numbers Obj. 13 - Add fractions with unlike denominators and simplify the sum Obj. 14 - Subtract fractions with unlike denominators and simplify the difference

Accelerated Math Grade 6 Mississippi, Math, 2007, Sixth Grade, Accelerated Math Second Edition Grade 6 Obj. 15 - Subtract a fraction from a whole number Obj. 16 - WP: Add or subtract fractions with unlike denominators and simplify the sum or difference Obj. 17 - Add mixed numbers with unlike denominators or a mixed number and a fraction with unlike denominators and simplify the sum Obj. 18 - Subtract a mixed number from a whole number Obj. 19 - Subtract mixed numbers with unlike denominators or a mixed number and a fraction and simplify the difference Obj. 20 - Add and subtract three unlike-denominator fractions, mixed numbers, or fractions and mixed numbers, and simplify the answer Obj. 21 - 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 Obj. 22 - Multiply a fraction by a fraction Obj. 23 - Multiply a mixed number by a whole number Obj. 24 - Multiply a mixed number by a fraction Obj. 25 - Multiply a mixed number by a mixed number Obj. 28 - Divide a fraction by a whole number resulting in a fractional quotient Obj. 29 - Divide a fraction by a fraction Obj. 30 - Divide a whole number by a fraction resulting in a fractional quotient Obj. 31 - Divide a mixed number by a fraction Obj. 32 - Divide a mixed number by a mixed number Obj. 33 - WP: Multiply or divide a fraction by a fraction Obj. 34 - WP: Multiply or divide two mixed numbers or a mixed number and a fraction Page 29 of 89