Missouri Standards Alignment Grades One through Six

Missouri Standards Alignment Grades One through Six 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

Missouri 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...13 Grade 4...19 Grade 5...27 Grade 6...34 2010 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

MathFacts Grade 1 Missouri, Math, 2007, Grade 1, MO N - Number and Operations MO N.1 - Understand numbers, ways of representing numbers, relationships among numbers and number systems MO N.1.A - Read, write and compare numbers MO N.1.A.1 - read, write, and compare whole numbers less than 100 MO N.1.B - Represent and use rational numbers MO N.1.B.1 - recognize ½ and ¼ of a shape MO N.1.C - Compose and decompose numbers MO N.1.C.1 - compose or decompose whole numbers up to 20 using multiple strategies such as known facts, doubles and close to doubles, tens, and one place value MO N.1.D - Classify and describe numeric relationships MO N.1.D.1 - skip count by 2s, 5s and 10s MO N.2 - Understand meanings of operations and how they relate to one another MO N.2.A - Represent operations MO N.2.A.1 - represent/ model a given situation involving addition and subtraction of whole numbers using pictures, objects, or symbols MO N.2.B - Describe effects of operations MO N.2.C - Apply properties of operations MO N.2.D - Apply operations on real and complex numbers MO N.3 - Compute fluently and make reasonable estimates MO N.3.A - Describe or represent mental strategies MO N.3.A.1 - describe or represent the mental strategy used to compute addition and subtraction problems MO N.3.B - Develop and demonstrate fluency Page 1 of 39

MathFacts Grade 1 Missouri, Math, 2007, Grade 1, MO N.3.B.1 - use strategies to develop fluency with basic number relationships of addition and subtraction for sums up to 20 MO N.3.C - Compute problems MO N.3.C.1 - apply and describe the strategy used to solve addition or subtraction problems MO N.3.D - Estimate and justify solutions MO N.3.E - Use proportional reasoning MO A - Algebraic Relationships MO A.1 - Understand patterns, relations and functions MO A.1.A - Recognize and extend patterns MO A.1.A.1 - extend patterns of sound, shape, motion or a simple numeric pattern MO A.1.B - Create and analyze patterns MO A.1.B.1 - describe how simple repeating patterns are generated MO A.1.C - Classify objects and representations MO A.1.D - Identify and compare functions MO A.1.E - Describe the effects of parameter changes MO A.2 - Represent and analyze mathematical situations and structures using algebraic symbols MO A.2.A - Represent mathematical situations MO A.2.A.1 - using addition or subtraction, represent a mathematical situation as an expression or number sentence MO A.2.B - Describe and use mathematical manipulation MO A.2.B.1 - apply the commutative and associative properties of addition to whole numbers MO A.2.C - Utilize equivalent forms MO A.2.D - Utilize systems MO A.3 - Use mathematical models to represent and understand quantitative relationships Page 2 of 39

MathFacts Grade 1 Missouri, Math, 2007, Grade 1, MO A.3.A - Use mathematical models MO A.3.A.1 - model situations that involve the addition of whole numbers, using pictures, objects or symbols MO A.4 - Analyze change in various contexts MO A.4.A - Analyze change MO G - Geometric and Spatial Relationships MO G.1 - Analyze characteristics and properties of two- and threedimensional geometric shapes and develop mathematical arguments about geometric relationships MO G.1.A - Describe and use geometric relationships MO G.1.A.1 - identify, name and describe 2- and 3-dimensional shapes using physical models (circle, triangle, trapezoid, rectangle, rhombus, sphere, rectangular prism, cylinder, pyramid) MO G.1.B - Apply geometric relationships MO G.1.C - Compose and decompose shapes MO G.1.C.1 - use models to compose and decompose 2- dimensional shapes MO G.2 - Specify locations and describe spatial relationships using coordinate geometry and other representational systems MO G.2.A - Use coordinate systems MO G.2.A.1 - describe, name and interpret relative positions in space (left, right) MO G.3 - Apply transformations and use symmetry to analyze mathematical situations MO G.3.A - Use transformations on objects MO G.3.A.1 - use manipulatives to model flips MO G.3.B - Use transformations on functions MO G.3.C - Use symmetry Page 3 of 39

MathFacts Grade 1 Missouri, Math, 2007, Grade 1, MO G.3.C.1 - recognize shapes that have symmetry MO G.4 - Use visualization, spatial reasoning and geometric modeling to solve problems MO G.4.A - Recognize and draw three-dimensional representations MO G.4.B - Draw and use visual models MO M - Measurement MO M.1 - Understand measurable attributes of objects and the units, systems and processes of measurement MO M.1.A - Determine unit of measurement MO M.1.A.1 - select the appropriate tool for the attribute being measured (size, temperature, time, weight) MO M.1.B - Identify equivalent measures MO M.1.C - Tell and use units of time MO M.1.C.1 - tell time to the nearest half hour MO M.1.D - Count and compute money MO M.1.D.1 - count money to a dolllar, including half dollars MO M.2 - Apply appropriate techniques, tools and formulas to determine measurements MO M.2.A - Use standard or nonstandard measurement MO M.2.A.1 - use repetition of a single unit to measure something larger than the unit, (e.g. length of book with paper clips) MO M.2.B - Use angle measurement MO M.2.C - Apply geometric measurements MO M.2.D - Analyze precision MO M.2.E - Use relationships within a measurement system MO D - Data and Probability MO D.1 - Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them Page 4 of 39

MathFacts Grade 1 Missouri, Math, 2007, Grade 1, MO D.1.A - Formulate questions MO D.1.A.1 - pose questions and gather data about themselves and their surroundings MO D.1.B - Classify and organize data MO D.1.B.1 - sort and classify items according to their attributes MO D.1.C - Represent and interpret data MO D.1.C.1 - represent one-to-one correspondence data using pictures and bar graphs MO D.2 - Select and use appropriate statistical methods to analyze data MO D.2.A - Describe and analyze data MO D.2.B - Compare data representations MO D.2.C - Represent data algebraically MO D.3 - Develop and evaluate inferences and predictions that are based on data MO D.3.A - Develop and evaluate inferences MO D.3.B - Analyze basic statistical techniques MO D.4 - Understand and apply basic concepts of probability MO D.4.A - Apply basic concepts of probability MO D.4.B - Use and describe compound events Page 5 of 39

MathFacts Grade 2 Missouri, Math, 2007, Grade 2, MO N - Number and Operations MO N.1 - Understand numbers, ways of representing numbers, relationships among numbers and number systems MO N.1.A - Read, write and compare numbers MO N.1.A.1 - read, write, and compare whole numbers less than 1000 MO N.1.B - Represent and use rational numbers MO N.1.B.1 - recognize unit fractions of a shape MO N.1.C - Compose and decompose numbers MO N.1.C.1 - compose or decompose numbers by using a variety of strategies, such as using known facts, tens place value or landmark numbers to solve problems MO N.1.D - Classify and describe numeric relationships MO N.1.D.1 - skip count by multiples of numbers less than 10 MO N.2 - Understand meanings of operations and how they relate to one another MO N.2.A - Represent operations MO N.2.A.1 - represent/ model a given situation involving two-digit whole number addition or subtraction MO N.2.B - Describe effects of operations MO N.2.C - Apply properties of operations MO N.2.D - Apply operations on real and complex numbers MO N.3 - Compute fluently and make reasonable estimates MO N.3.A - Describe or represent mental strategies MO N.3.A.1 - describe or notate the mental strategy used to compute addition or subtraction of whole numbers, including 2-digit numbers MO N.3.B - Develop and demonstrate fluency Page 6 of 39

MathFacts Grade 2 Missouri, Math, 2007, Grade 2, MO N.3.B.1 - demonstrate fluency including quick recall with basic number relationships of addition and subtraction for sums up to 20 Domain 1 - Overall Product (OP) (student focus) Skillset 1 - OP01 Developing computational fluency with basic math facts Skillset 3 - OP03 Solving math facts in horizontal and vertical forms Domain 3 - Math Skills - Addition (MS) Skillset 6 - OP06 Memorizing math facts Skillset 7 - OP07 Developing automaticity with addition, subtraction, multiplication, and division facts through repeated practice Skillset 1 - MS01 Addition of 0,1 (Adding 0 or 1 to numbers 0-10) Skillset 2 - MS02 Addition of 2,3 (Adding 2 or 3 to numbers 0-10) Skillset 3 - MS03 Addition of 4,5 (Adding 4 or 5 to numbers 0-10) Skillset 4 - MS04 Alternate Forms: Addition of 0 to 5 (Adding 0-5 to numbers 0-10 with the unknown in the operand or answer position) Skillset 5 - MS05 Addition of 6,7 (Adding 6 or 7 to numbers 0-10) Skillset 6 - MS06 Addition of 8,9 (Adding 8 or 9 to numbers 0-10) Skillset 7 - MS07 Addition of 10 (Adding 10 to numbers 0-10) Skillset 8 - MS08 Alternate Forms: Addition of 6 to 10 (Adding 6-10 to numbers 0-10 with the unknown in the operand or answer position) Domain 4 - Math Skills - Subtraction (MS) Skillset 1 - MS09 Subtraction of 0,1 (Subtracting 0 or 1 from numbers 0-11) Skillset 2 - MS10 Subtraction of 2,3 (Subtracting 2 or 3 from numbers 2-13) Skillset 3 - MS11 Subtraction of 4,5 (Subtracting 4 or 5 from numbers 4-15) Skillset 4 - MS12 Alternate Forms: Subtraction of 0 to 5 (Subtracting 0-5 from numbers 0-15 with the unknown in the operand or answer position) Page 7 of 39

MathFacts Grade 2 Missouri, Math, 2007, Grade 2, MO N.3.C - Compute problems MO N.3.C.1 - apply and describe the strategy used to compute 2-digit addition or subtraction problems with regrouping MO N.3.D - Estimate and justify solutions MO N.3.D.1 - estimate sums and differences of whole numbers MO N.3.E - Use proportional reasoning MO A - Algebraic Relationships MO A.1 - Understand patterns, relations and functions MO A.1.A - Recognize and extend patterns MO A.1.A.1 - describe and extend simple numeric patterns and change from one representation to another MO A.1.B - Create and analyze patterns MO A.1.B.1 - describe how simple growing patterns are generated MO A.1.C - Classify objects and representations MO A.1.D - Identify and compare functions MO A.1.E - Describe the effects of parameter changes MO A.2 - Represent and analyze mathematical situations and structures using algebraic symbols MO A.2.A - Represent mathematical situations Skillset 5 - MS13 Subtraction of 6,7 (Subtracting 6 or 7 from numbers 6-17) Skillset 6 - MS14 Subtraction of 8,9 (Subtracting 8 or 9 from numbers 8-19) Skillset 7 - MS15 Subtraction of 10 (Subtracting 10 from numbers 10-20) Skillset 8 - MS16 Alternate Forms: Subtraction of 6 to 10 (Subtracting 6-10 from numbers 6-20 with the unknown in the operand or answer position) Page 8 of 39

MathFacts Grade 2 Missouri, Math, 2007, Grade 2, MO A.2.A.1 - using addition or subtraction, represent a mathematical situation as an expression or number sentence MO A.2.B - Describe and use mathematical manipulation MO A.2.B.1 - solve problems with whole numbers using the commutative and associative properties of addition MO A.2.C - Utilize equivalent forms MO A.2.D - Utilize systems MO A.3 - Use mathematical models to represent and understand quantitative relationships MO A.3.A - Use mathematical models MO A.3.A.1 - model situations that involve addition and subtraction of whole numbers, using pictures, objects or symbols MO A.4 - Analyze change in various contexts MO A.4.A - Analyze change MO A.4.A.1 - describe qualitative change, such as students growing taller MO G - Geometric and Spatial Relationships MO G.1 - Analyze characteristics and properties of two- and threedimensional geometric shapes and develop mathematical arguments about geometric relationships MO G.1.A - Describe and use geometric relationships MO G.1.A.1 - describe attributes and parts of 2- and 3-dimensional shapes (circle, triangle, trapezoid, rectangle, rhombus, sphere, rectangular prism, cylinder, pyramid) MO G.1.B - Apply geometric relationships MO G.1.C - Compose and decompose shapes MO G.2 - Specify locations and describe spatial relationships using coordinate geometry and other representational systems Page 9 of 39

MathFacts Grade 2 Missouri, Math, 2007, Grade 2, MO G.2.A - Use coordinate systems MO G.2.A.1 - identify locations with simple relationships on a map (coordinate system) MO G.3 - Apply transformations and use symmetry to analyze mathematical situations MO G.3.A - Use transformations on objects MO G.3.A.1 - use manipulatives to model slides and turns MO G.3.B - Use transformations on functions MO G.3.C - Use symmetry MO G.3.C.1 - create shapes that have symmetry MO G.4 - Use visualization, spatial reasoning and geometric modeling to solve problems MO G.4.A - Recognize and draw three-dimensional representations MO G.4.B - Draw and use visual models MO M - Measurement MO M.1 - Understand measurable attributes of objects and the units, systems and processes of measurement MO M.1.A - Determine unit of measurement MO M.1.A.1 - select an appropriate unit and tool for the attribute being measured (size, temperature, time, weight) and to the nearest inch, centimeter, degree, hour and pound MO M.1.B - Identify equivalent measures MO M.1.C - Tell and use units of time MO M.1.C.1 - tell time to the nearest one fourth (quarter) hour MO M.1.D - Count and compute money MO M.1.D.1 - make change from a dollar MO M.2 - Apply appropriate techniques, tools and formulas to determine measurements Page 10 of 39

MathFacts Grade 2 Missouri, Math, 2007, Grade 2, MO M.2.A - Use standard or nonstandard measurement MO M.2.A.1 - use standard units of measure (cm, inch) and the inverse relationships between the size and number of units MO M.2.B - Use angle measurement MO M.2.C - Apply geometric measurements MO M.2.D - Analyze precision MO M.2.E - Use relationships within a measurement system MO D - Data and Probability MO D.1 - Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them MO D.1.A - Formulate questions MO D.1.A.1 - pose questions and gather data about themselves and their surroundings MO D.1.B - Classify and organize data MO D.1.B.1 - sort and classify items according to their attributes and organize data about the items MO D.1.C - Represent and interpret data MO D.1.C.1 - represent one- to-many correspondence data using pictures and bar graphs MO D.2 - Select and use appropriate statistical methods to analyze data MO D.2.A - Describe and analyze data MO D.2.B - Compare data representations MO D.2.C - Represent data algebraically MO D.3 - Develop and evaluate inferences and predictions that are based on data MO D.3.A - Develop and evaluate inferences MO D.3.B - Analyze basic statistical techniques MO D.4 - Understand and apply basic concepts of probability Page 11 of 39

MathFacts Grade 2 Missouri, Math, 2007, Grade 2, MO D.4.A - Apply basic concepts of probability MO D.4.B - Use and describe compound events Page 12 of 39

MathFacts Grade 3 Missouri, Math, 2007, Grade 3, MO N - Number and Operations MO N.1 - Understand numbers, ways of representing numbers, relationships among numbers and number systems MO N.1.A - Read, write and compare numbers MO N.1.A.1 - read, write and compare whole numbers up to 10,000 MO N.1.B - Represent and use rational numbers MO N.1.B.1 - represents halves, thirds and fourths MO N.1.C - Compose and decompose numbers MO N.1.C.1 - recognize equivalent representations for the same number and generate them by decomposing and composing numbers including expanded notation MO N.1.D - Classify and describe numeric relationships MO N.1.D.1 - classify numbers by their characteristics, including odd and even MO N.2 - Understand meanings of operations and how they relate to one another MO N.2.A - Represent operations MO N.2.A.1 - represent/ model a given situation involving multiplication and related division using various models including sets, arrays, areas, repeated addition/subtraction, sharing and partitioning MO N.2.B - Describe effects of operations MO N.2.B.1 - describe the effects of adding and subtracting whole numbers as well as the relationship between the two operations MO N.2.C - Apply properties of operations MO N.2.D - Apply operations on real and complex numbers MO N.3 - Compute fluently and make reasonable estimates Page 13 of 39

MathFacts Grade 3 Missouri, Math, 2007, Grade 3, MO N.3.A - Describe or represent mental strategies MO N.3.A.1 - represent a mental strategy used to compute a given multiplication problem up to 9 x 9 MO N.3.B - Develop and demonstrate fluency MO N.3.B.1 - use strategies to develop fluency with basic number relationships (9 X 9) of multiplication and division MO N.3.C - Compute problems MO N.3.C.1 - apply and describe the strategy used to compute up to 3-digit addition or subtraction problems MO N.3.D - Estimate and justify solutions MO N.3.D.1 - estimate and justify sums and differences of whole numbers MO N.3.E - Use proportional reasoning MO A - Algebraic Relationships MO A.1 - Understand patterns, relations and functions MO A.1.A - Recognize and extend patterns MO A.1.A.1 - extend geometric (shapes) and numeric patterns to find the next term MO A.1.B - Create and analyze patterns MO A.1.B.1 - represent patterns using words, tables or graphs MO A.1.C - Classify objects and representations MO A.1.D - Identify and compare functions MO A.1.E - Describe the effects of parameter changes MO A.2 - Represent and analyze mathematical situations and structures using algebraic symbols MO A.2.A - Represent mathematical situations MO A.2.A.1 - using all operations, represent a mathematical situation as an expression or number sentence Page 14 of 39

MathFacts Grade 3 Missouri, Math, 2007, Grade 3, MO A.2.B - Describe and use mathematical manipulation MO A.2.B.1 - use the commutative, distributive and associative properties for basic facts of whole numbers MO A.2.C - Utilize equivalent forms MO A.2.D - Utilize systems MO A.3 - Use mathematical models to represent and understand quantitative relationships MO A.3.A - Use mathematical models MO A.3.A.1 - model problem situations, including multiplication with objects or drawings MO A.4 - Analyze change in various contexts MO A.4.A - Analyze change MO A.4.A.1 - describe quantitative change, such as students growing two inches in a year MO G - Geometric and Spatial Relationships MO G.1 - Analyze characteristics and properties of two- and threedimensional geometric shapes and develop mathematical arguments about geometric relationships MO G.1.A - Describe and use geometric relationships MO G.1.A.1 - compare and analyze 2- dimensional shapes by describing their attributes (circle, rectangle, rhombus, trapezoid, triangle) MO G.1.B - Apply geometric relationships MO G.1.C - Compose and decompose shapes MO G.1.C.1 - predict the results of putting together or taking apart 2- and 3- dimensional shapes MO G.2 - Specify locations and describe spatial relationships using coordinate geometry and other representational systems MO G.2.A - Use coordinate systems Page 15 of 39

MathFacts Grade 3 Missouri, Math, 2007, Grade 3, MO G.2.A.1 - describe location using common language and geometric vocabulary (forward, back, left, right, north, south, east, west) MO G.3 - Apply transformations and use symmetry to analyze mathematical situations MO G.3.A - Use transformations on objects MO G.3.A.1 - determine if two objects are congruent through a slide, flip or turn MO G.3.B - Use transformations on functions MO G.3.C - Use symmetry MO G.3.C.1 - identify lines of symmetry in polygons MO G.4 - Use visualization, spatial reasoning and geometric modeling to solve problems MO G.4.A - Recognize and draw three-dimensional representations MO G.4.B - Draw and use visual models MO M - Measurement MO M.1 - Understand measurable attributes of objects and the units, systems and processes of measurement MO M.1.A - Determine unit of measurement MO M.1.A.1 - identify, justify and use the appropriate unit of measure (linear, time, weight) MO M.1.B - Identify equivalent measures MO M.1.C - Tell and use units of time MO M.1.C.1 - tell time to the nearest five minutes MO M.1.D - Count and compute money MO M.1.D.1 - determine change from $5.00 and add and subtract money values to $5.00 MO M.2 - Apply appropriate techniques, tools and formulas to determine measurements MO M.2.A - Use standard or nonstandard measurement Page 16 of 39

MathFacts Grade 3 Missouri, Math, 2007, Grade 3, MO M.2.A.1 - use a referent for measures to make comparisons and estimates MO M.2.B - Use angle measurement MO M.2.C - Apply geometric measurements MO M.2.C.1 - determine the perimeter of polygons MO M.2.D - Analyze precision MO M.2.E - Use relationships within a measurement system MO D - Data and Probability MO D.1 - Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them MO D.1.A - Formulate questions MO D.1.A.1 - design investigations to address a given question MO D.1.B - Classify and organize data MO D.1.C - Represent and interpret data MO D.1.C.1 - read and interpret information from line plots and graphs (bar, line, pictorial) MO D.2 - Select and use appropriate statistical methods to analyze data MO D.2.A - Describe and analyze data MO D.2.A.1 - describe the shape of data and analyze it for patterns MO D.2.B - Compare data representations MO D.2.C - Represent data algebraically MO D.3 - Develop and evaluate inferences and predictions that are based on data MO D.3.A - Develop and evaluate inferences MO D.3.A.1 - discuss events related to students' experiences as likely or unlikely MO D.3.B - Analyze basic statistical techniques MO D.4 - Understand and apply basic concepts of probability Page 17 of 39

MathFacts Grade 3 Missouri, Math, 2007, Grade 3, MO D.4.A - Apply basic concepts of probability MO D.4.B - Use and describe compound events Page 18 of 39

MathFacts Grade 4 Missouri, Math, 2007, Grade 4, MO N - Number and Operations MO N.1 - Understand numbers, ways of representing numbers, relationships among numbers and number systems MO N.1.A - Read, write and compare numbers MO N.1.A.1 - read, write and compare and whole numbers less than 100,000 MO N.1.B - Represent and use rational numbers MO N.1.B.1 - use models, benchmarks (0, 1/2 and 1) and equivalent forms to judge the size of fractions MO N.1.C - Compose and decompose numbers MO N.1.C.1 - recognize equivalent representations for the same number and generate them by decomposing and composing numbers MO N.1.D - Classify and describe numeric relationships MO N.1.D.1 - classify and describe numbers by their characteristics, including odd, even, multiples and factors MO N.2 - Understand meanings of operations and how they relate to one another MO N.2.A - Represent operations MO N.2.A.1 - represent and recognize multiplication and related division using various models, including equal intervals on the number line, equal size groups, distributive property, etc. MO N.2.B - Describe effects of operations MO N.2.B.1 - describe the effects of multiplying and dividing whole numbers as well as the relationship between the two operations MO N.2.C - Apply properties of operations MO N.2.D - Apply operations on real and complex numbers Page 19 of 39

MathFacts Grade 4 Missouri, Math, 2007, Grade 4, MO N.3 - Compute fluently and make reasonable estimates MO N.3.A - Describe or represent mental strategies MO N.3.A.1 - represent a mental strategy used to compute a given multiplication problem (up to 2-digit by 2-digit multiple of) MO N.3.B - Develop and demonstrate fluency MO N.3.B.1 - demonstrate fluency Domain 1 - Overall Product (OP) with basic number relationships (12 X (student focus) 12) of multiplication and related division facts Skillset 1 - OP01 Developing computational fluency with basic math facts Skillset 3 - OP03 Solving math facts in horizontal and vertical forms Domain 5 - Math Skills - Multiplication (MS) Skillset 6 - OP06 Memorizing math facts Skillset 7 - OP07 Developing automaticity with addition, subtraction, multiplication, and division facts through repeated practice Skillset 1 - MS17 Multiplication by 0,1 (Multiplying 0 or 1 by numbers 0-10) Skillset 2 - MS18 Multiplication by 2,3 (Multiplying 2 or 3 by numbers 0-10) Skillset 3 - MS19 Multiplication by 4,5 (Multiplying 4 or 5 by numbers 0-10) Skillset 4 - MS20 Alternate Forms: Multiplication by 0 to 5 (Multiplying 0-5 by numbers 0-10 with the unknown in the operand or answer position) Skillset 5 - MS21 Multiplication by 6,7 (Multiplying 6 or 7 by numbers 0-10) Skillset 6 - MS22 Multiplication by 8,9 (Multiplying 8-9 by numbers 0-10) Skillset 7 - MS23 Multiplication by 10 (Multiplying 10 by numbers 0-10) Page 20 of 39

MathFacts Grade 4 Missouri, Math, 2007, Grade 4, Skillset 8 - MS24 Alternate Forms: Multiplication by 6 to 10 (Multiplying 6-10 by numbers 0-10 with the unknown in the operand or answer position) Skillset 9 - MS25 Multiplication by 11,12 (Multiplying 11 or 12 by numbers 0-12) Skillset 10 - MS26 Alternate Forms: Multiplication by 11 to 12 (Multiplying 11 or 12 by numbers 0-12 with the unknown in the operand or answer MO N.3.C - Compute problems MO N.3.C.1 - apply and describe the strategy used to compute a given multiplication of 2-digit by 2-digit numbers and related division facts MO N.3.D - Estimate and justify solutions Domain 7 - Math Skills - Division (MS) position) Skillset 1 - MS27 Division by 1,2 (Dividing numbers 0-20 by 1 or 2) Skillset 2 - MS28 Division by 3,4 (Dividing numbers 0-40 by 3 or 4) Skillset 3 - MS29 Division by 5,6 (Dividing numbers 0-60 by 5 or 6) Skillset 4 - MS30 Alternate Forms: Division by 1-6 (Dividing numbers 0-60 by 1-6 with the unknown in the operand or answer position) Skillset 5 - MS31 Division by 7,8 (Dividing numbers 0-80 by 7 or 8) Skillset 6 - MS32 Division by 9,10 (Dividing numbers 0-100 by 9 or 10) Skillset 7 - MS33 Alternate Forms: Division by 7-10 (Dividing numbers 0-100 by 7-10 with the unknown in the operand or answer position) Skillset 8 - MS34 Division by 11,12 (Dividing numbers 0-144 by 11 or 12) Skillset 9 - MS35 Alternate Forms: Division by 11 to 12 (Dividing numbers 0-144 by 11 or 12 with unknown in operand position) Page 21 of 39

MathFacts Grade 4 Missouri, Math, 2007, Grade 4, MO N.3.D.1 - estimate and justify products of whole numbers MO N.3.E - Use proportional reasoning MO A - Algebraic Relationships MO A.1 - Understand patterns, relations and functions MO A.1.A - Recognize and extend patterns MO A.1.A.1 - describe geometric and numeric patterns MO A.1.B - Create and analyze patterns MO A.1.B.1 - analyze patterns using words, tables and graphs MO A.1.C - Classify objects and representations MO A.1.D - Identify and compare functions MO A.1.E - Describe the effects of parameter changes MO A.2 - Represent and analyze mathematical situations and structures using algebraic symbols MO A.2.A - Represent mathematical situations MO A.2.A.1 - using all operations, represent a mathematical situation as an expression or number sentence MO A.2.B - Describe and use mathematical manipulation MO A.2.B.1 - use the commutative, distributive and associative properties of addition and multiplication for multidigit numbers MO A.2.C - Utilize equivalent forms MO A.2.D - Utilize systems MO A.3 - Use mathematical models to represent and understand quantitative relationships MO A.3.A - Use mathematical models MO A.3.A.1 - model problem situations, using representations such as graphs, tables or number sentences MO A.4 - Analyze change in various contexts Page 22 of 39

MathFacts Grade 4 Missouri, Math, 2007, Grade 4, MO A.4.A - Analyze change MO A.4.A.1 - describe mathematical relationships in terms of constant rates of change MO G - Geometric and Spatial Relationships MO G.1 - Analyze characteristics and properties of two- and threedimensional geometric shapes and develop mathematical arguments about geometric relationships MO G.1.A - Describe and use geometric relationships MO G.1.A.1 - name and identify properties of 1-, 2- and 3-dimensional shapes and describe the attributes of 2- and 3-dimensional shapes using appropriate geometric vocabulary (rectangular prism, cylinder, pyramid, sphere, cone, parallelism, perpendicularity) MO G.1.B - Apply geometric relationships MO G.1.C - Compose and decompose shapes MO G.1.C.1 - describe the results of subdividing, combining and transforming shapes MO G.2 - Specify locations and describe spatial relationships using coordinate geometry and other representational systems MO G.2.A - Use coordinate systems MO G.2.A.1 - describe movement using common language and geometric vocabulary (forward, back, left, right, north, south, east, west) MO G.3 - Apply transformations and use symmetry to analyze mathematical situations MO G.3.A - Use transformations on objects MO G.3.A.1 - predict the results of sliding/ translating, flipping/ reflecting or turning/ rotating around the center point of a polygon Page 23 of 39

MathFacts Grade 4 Missouri, Math, 2007, Grade 4, MO G.3.B - Use transformations on functions MO G.3.C - Use symmetry MO G.3.C.1 - create a figure with multiple lines of symmetry and identify the lines of symmetry MO G.4 - Use visualization, spatial reasoning and geometric modeling to solve problems MO G.4.A - Recognize and draw three-dimensional representations MO G.4.A.1 - given the picture of a prism, identify the shapes of the faces MO G.4.B - Draw and use visual models MO M - Measurement MO M.1 - Understand measurable attributes of objects and the units, systems and processes of measurement MO M.1.A - Determine unit of measurement MO M.1.A.1 - identify and justify the unit of linear measure including perimeter and (customary metric) MO M.1.B - Identify equivalent measures MO M.1.B.1 - identify equivalent linear measures within a system of measurement MO M.1.C - Tell and use units of time MO M.1.C.1 - tell time to the nearest minute MO M.1.D - Count and compute money MO M.1.D.1 - determine change from $10.00 and add and subtract money values to $10.00 MO M.2 - Apply appropriate techniques, tools and formulas to determine measurements MO M.2.A - Use standard or nonstandard measurement MO M.2.A.1 - select and use benchmarks to estimate measurements (linear, capacity, weight) MO M.2.B - Use angle measurement Page 24 of 39

MathFacts Grade 4 Missouri, Math, 2007, Grade 4, MO M.2.B.1 - select and use benchmarks to estimate measurements of 0-, 45- (acute), 90- (right) greater than 90 (obtuse) degree angles MO M.2.C - Apply geometric measurements MO M.2.C.1 - determine and justify areas of polygons and non-polygonal regions imposed on a rectangular grid MO M.2.D - Analyze precision MO M.2.E - Use relationships within a measurement system MO D - Data and Probability MO D.1 - Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them MO D.1.A - Formulate questions MO D.1.A.1 - collect data using observations, surveys and experiments MO D.1.B - Classify and organize data MO D.1.C - Represent and interpret data MO D.1.C.1 - create tables or graphs to represent categorical and numerical data (including line plots) MO D.2 - Select and use appropriate statistical methods to analyze data MO D.2.A - Describe and analyze data MO D.2.A.1 - describe important features of the data set MO D.2.B - Compare data representations MO D.2.C - Represent data algebraically MO D.3 - Develop and evaluate inferences and predictions that are based on data MO D.3.A - Develop and evaluate inferences MO D.3.A.1 - given a set of data, propose and justify conclusions that are based on the data Page 25 of 39

MathFacts Grade 4 Missouri, Math, 2007, Grade 4, MO D.3.B - Analyze basic statistical techniques MO D.4 - Understand and apply basic concepts of probability MO D.4.A - Apply basic concepts of probability MO D.4.B - Use and describe compound events Page 26 of 39

MathFacts Grade 5 Missouri, Math, 2007, Grade 5, MO N - Number and Operations MO N.1 - Understand numbers, ways of representing numbers, relationships among numbers and number systems MO N.1.A - Read, write and compare numbers MO N.1.A.1 - read, write and compare whole numbers less than 1,000,000, unit fractions and decimals to hundredths (including location on the number line) MO N.1.B - Represent and use rational numbers MO N.1.B.1 - recognize and generate Domain 1 - Overall Product (OP) equivalent forms of commonly used (student focus) fractions and decimals MO N.1.C - Compose and decompose numbers MO N.1.C.1 - recognize equivalent representations for the same number and generate them by decomposing and composing numbers, Domain 8 - Math Skills - Fractions Decimal Conversion (MS) Skillset 8 - OP08 Developing automaticity converting decimals to fractions and fractions to decimals through repeated practice Skillset 1 - MS37 Fractions to Decimals (Converting fractions with numerators 1-9 and denominator 10 or 100; unit fractions (1/n) with denominators of 2, 3, 4, 5, and 3/4, 2/5, 3/5, 4/5) Skillset 2 - MS38 Decimals to Fractions (Converting decimals to fractions with values 0.5, 0.333..., 0.25, 0.75, 0.1, 0.3, 0.7, 0.9., 0.2, 0.4, 0.6, and 0.8) MO N.1.D - Classify and describe numeric relationships MO N.1.D.1 - describe numbers according to their characteristics, including whole number common factors and multiples, prime or composite, and square numbers MO N.2 - Understand meanings of operations and how they relate to one another MO N.2.A - Represent operations MO N.2.A.1 - represent and recognize division using various models, including quotative and partitive Page 27 of 39

MathFacts Grade 5 Missouri, Math, 2007, Grade 5, MO N.2.B - Describe effects of operations MO N.2.B.1 - describe the effects of addition and subtraction on fractions and decimals MO N.2.C - Apply properties of operations MO N.2.D - Apply operations on real and complex numbers MO N.3 - Compute fluently and make reasonable estimates MO N.3.A - Describe or represent mental strategies MO N.3.A.1 - describe a mental strategy used to compute a given division problem, where the quotient is a multiple of 10 and the divisor is a 1-digit number (e.g., 350 /7) MO N.3.B - Develop and demonstrate fluency MO N.3.B.1 - demonstrate fluency with efficient procedures for adding and subtracting decimals and fractions (with unlike denominators) and division of whole numbers Page 28 of 39 Domain 1 - Overall Product (OP) (student focus) Domain 7 - Math Skills - Division (MS) Skillset 1 - OP01 Developing computational fluency with basic math facts Skillset 3 - OP03 Solving math facts in horizontal and vertical forms Skillset 7 - OP07 Developing automaticity with addition, subtraction, multiplication, and division facts through repeated practice Skillset 1 - MS27 Division by 1,2 (Dividing numbers 0-20 by 1 or 2) Skillset 2 - MS28 Division by 3,4 (Dividing numbers 0-40 by 3 or 4) Skillset 3 - MS29 Division by 5,6 (Dividing numbers 0-60 by 5 or 6) Skillset 4 - MS30 Alternate Forms: Division by 1-6 (Dividing numbers 0-60 by 1-6 with the unknown in the operand or answer position) Skillset 5 - MS31 Division by 7,8 (Dividing numbers 0-80 by 7 or 8) Skillset 6 - MS32 Division by 9,10 (Dividing numbers 0-100 by 9 or 10)

MathFacts Grade 5 Missouri, Math, 2007, Grade 5, Skillset 7 - MS33 Alternate Forms: Division by 7-10 (Dividing numbers 0-100 by 7-10 with the unknown in the operand or answer position) Skillset 8 - MS34 Division by 11,12 (Dividing numbers 0-144 by 11 or 12) Skillset 9 - MS35 Alternate Forms: Division by 11 to 12 (Dividing numbers 0-144 by 11 or 12 with unknown in operand position) MO N.3.C - Compute problems MO N.3.C.1 - apply and describe the strategy used to compute a division problem up to a 3- digit by 2-digit and addition and subtraction of fractions and decimals MO N.3.D - Estimate and justify solutions MO N.3.D.1 - estimate and justify products, and quotients of whole numbers and sums differences of decimals and fractions MO N.3.E - Use proportional reasoning MO A - Algebraic Relationships MO A.1 - Understand patterns, relations and functions MO A.1.A - Recognize and extend patterns MO A.1.A.1 - make and describe generalizations about geometric and numeric patterns MO A.1.B - Create and analyze patterns MO A.1.B.1 - represent and analyze patterns using words, tables and graphs MO A.1.C - Classify objects and representations MO A.1.D - Identify and compare functions MO A.1.E - Describe the effects of parameter changes MO A.2 - Represent and analyze mathematical situations and structures using algebraic symbols MO A.2.A - Represent mathematical situations Page 29 of 39

MathFacts Grade 5 Missouri, Math, 2007, Grade 5, MO A.2.A.1 - using all operations, represent a mathematical situation as an expression or number sentence using a letter or symbol MO A.2.B - Describe and use mathematical manipulation MO A.2.B.1 - use the commutative, distributive and associative properties for fractions and decimals MO A.2.C - Utilize equivalent forms MO A.2.D - Utilize systems MO A.3 - Use mathematical models to represent and understand quantitative relationships MO A.3.A - Use mathematical models MO A.3.A.1 - model problem situations and draw conclusions, using representations such as graphs, tables or number sentence MO A.4 - Analyze change in various contexts MO A.4.A - Analyze change MO A.4.A.1 - identify, model and describe situations with constant or varying rates of change MO G - Geometric and Spatial Relationships MO G.1 - Analyze characteristics and properties of two- and threedimensional geometric shapes and develop mathematical arguments about geometric relationships MO G.1.A - Describe and use geometric relationships MO G.1.A.1 - analyze and classify 2- and 3-dimensional shapes by describing the attributes MO G.1.B - Apply geometric relationships MO G.1.C - Compose and decompose shapes MO G.1.C.1 - predict and justify the results of subdividing, combining and transforming shapes Page 30 of 39

MathFacts Grade 5 Missouri, Math, 2007, Grade 5, MO G.2 - Specify locations and describe spatial relationships using coordinate geometry and other representational systems MO G.2.A - Use coordinate systems MO G.2.A.1 - use coordinate systems to specify locations, describe paths and find the distance between points along horizontal and vertical lines MO G.3 - Apply transformations and use symmetry to analyze mathematical situations MO G.3.A - Use transformations on objects MO G.3.A.1 - predict, draw and describe the results of sliding/ translating, flipping/ reflecting and turning/ rotating around a center point of a polygon MO G.3.B - Use transformations on functions MO G.3.C - Use symmetry MO G.3.C.1 - identify polygons and designs with rotational symmetry MO G.4 - Use visualization, spatial reasoning and geometric modeling to solve problems MO G.4.A - Recognize and draw three-dimensional representations MO G.4.A.1 - given a net of a prism or cylinder, identify the 3-dimensional shape MO G.4.B - Draw and use visual models MO M - Measurement MO M.1 - Understand measurable attributes of objects and the units, systems and processes of measurement MO M.1.A - Determine unit of measurement MO M.1.A.1 - identify and justify the unit of measure for area (customary and metric) MO M.1.B - Identify equivalent measures Page 31 of 39

MathFacts Grade 5 Missouri, Math, 2007, Grade 5, MO M.1.B.1 - identify the equivalent weights and equivalent capacities within a system of measurement MO M.1.C - Tell and use units of time MO M.1.D - Count and compute money MO M.2 - Apply appropriate techniques, tools and formulas to determine measurements MO M.2.A - Use standard or nonstandard measurement MO M.2.B - Use angle measurement MO M.2.C - Apply geometric measurements MO M.2.C.1 - determine volume by finding the total number of the same size units needed to fill a space without gaps or overlaps MO M.2.D - Analyze precision MO M.2.E - Use relationships within a measurement system MO M.2.E.1 - convert from one unit to another within a system of linear measurement (customary and metric) MO D - Data and Probability MO D.1 - Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them MO D.1.A - Formulate questions MO D.1.A.1 - evaluate data-collection methods MO D.1.B - Classify and organize data MO D.1.C - Represent and interpret data MO D.1.C.1 - describe methods to collect, organize and represent categorical and numerical data MO D.2 - Select and use appropriate statistical methods to analyze data MO D.2.A - Describe and analyze data MO D.2.A.1 - compare related data sets Page 32 of 39

MathFacts Grade 5 Missouri, Math, 2007, Grade 5, MO D.2.B - Compare data representations MO D.2.C - Represent data algebraically MO D.3 - Develop and evaluate inferences and predictions that are based on data MO D.3.A - Develop and evaluate inferences MO D.3.A.1 - given a set of data make and justify predictions MO D.3.B - Analyze basic statistical techniques MO D.4 - Understand and apply basic concepts of probability MO D.4.A - Apply basic concepts of probability MO D.4.A.1 - describe the degree of likelihood of events using such words as certain, equally likely and impossible MO D.4.B - Use and describe compound events Page 33 of 39

MathFacts Grade 6 Missouri, Math, 2007, Grade 6, MO N - Number and Operations MO N.1 - Understand numbers, ways of representing numbers, relationships among numbers and number systems MO N.1.A - Read, write and compare numbers MO N.1.A.1 - apply and understand whole numbers to millions, fractions and decimals to the thousandths (including location on the number line) MO N.1.B - Represent and use rational numbers MO N.1.B.1 - recognize and generate Domain 1 - Overall Product (OP) equivalent forms of fractions, (student focus) decimals and benchmark percents MO N.1.C - Compose and decompose numbers MO N.1.C.1 - recognize equivalent representations for the same number and generate them by decomposing and composing numbers Domain 8 - Math Skills - Fractions Decimal Conversion (MS) Domain 9 - Math Skills - Percentage Decimal Conversion (MS) Domain 10 - Fraction Percentage Conversion (MS) Skillset 8 - OP08 Developing automaticity converting decimals to fractions and fractions to decimals through repeated practice Skillset 1 - MS37 Fractions to Decimals (Converting fractions with numerators 1-9 and denominator 10 or 100; unit fractions (1/n) with denominators of 2, 3, 4, 5, and 3/4, 2/5, 3/5, 4/5) Skillset 2 - MS38 Decimals to Fractions (Converting decimals to fractions with values 0.5, 0.333..., 0.25, 0.75, 0.1, 0.3, 0.7, 0.9., 0.2, 0.4, 0.6, and 0.8) Skillset 1 - MS39 Percentages to Decimals (Converting percentages to decimals with 1%, 2%,...9%; 10%, 20%,...100%; and 50%, 25%, and 75% values) Skillset 2 - MS40 Decimals to Percentages (Converting decimals to percentages with values 0.1, 0.2, 1.0; 0.01, 0.02 0.09; and 0.5, 0.25, and 0.75) Skillset 1 - MS41 Fractions to Percentages (Converting fractions to percentages with values 1/10, 2/10, 9/10; 1/100, 2/100 9/100, and 1/2, 1/4, 3/4, 1/5, 2/5, 3/5, 4/5) Page 34 of 39

MathFacts Grade 6 Missouri, Math, 2007, Grade 6, MO N.1.D - Classify and describe numeric relationships MO N.2 - Understand meanings of operations and how they relate to one another MO N.2.A - Represent operations MO N.2.B - Describe effects of operations MO N.2.B.1 - describe the effects of multiplication and division on fractions and decimals MO N.2.C - Apply properties of operations MO N.2.C.1 - apply properties of operations (including order of operations) to positive rational numbers MO N.2.D - Apply operations on real and complex numbers MO N.2.D.1 - identify square and cubic numbers and determine whole number roots and cubes MO N.3 - Compute fluently and make reasonable estimates MO N.3.A - Describe or represent mental strategies MO N.3.B - Develop and demonstrate fluency MO N.3.C - Compute problems MO N.3.C.1 - multiply and divide positive rational numbers MO N.3.D - Estimate and justify solutions MO N.3.D.1 - estimate and justify the results of multiplication and division of positive rational numbers MO N.3.E - Use proportional reasoning MO N.3.E.1 - solve problems using ratios and rates MO A - Algebraic Relationships MO A.1 - Understand patterns, relations and functions MO A.1.A - Recognize and extend patterns MO A.1.B - Create and analyze patterns MO A.1.B.1 - represent and describe patterns with tables, graphs, pictures, symbolic rules or words Page 35 of 39

MathFacts Grade 6 Missouri, Math, 2007, Grade 6, MO A.1.C - Classify objects and representations MO A.1.C.1 - compare various forms of representations to identify patterns MO A.1.D - Identify and compare functions MO A.1.D.1 - identify functions as linear or nonlinear from tables or graphs MO A.1.E - Describe the effects of parameter changes MO A.2 - Represent and analyze mathematical situations and structures using algebraic symbols MO A.2.A - Represent mathematical situations MO A.2.A.1 - use symbolic algebra to represent unknown quantities in expressions or equations and solve one-step equations MO A.2.B - Describe and use mathematical manipulation MO A.2.B.1 - use the commutative, distributive and associative properties to generate equivalent forms for simple algebraic expressions MO A.2.C - Utilize equivalent forms MO A.2.D - Utilize systems MO A.3 - Use mathematical models to represent and understand quantitative relationships MO A.3.A - Use mathematical models MO A.3.A.1 - model and solve problems, using multiple representations such as tables, expressions and one-step equations MO A.4 - Analyze change in various contexts MO A.4.A - Analyze change MO A.4.A.1 - construct and analyze representations to compare situations with constant or varying rates of change MO G - Geometric and Spatial Relationships Page 36 of 39

MathFacts Grade 6 Missouri, Math, 2007, Grade 6, MO G.1 - Analyze characteristics and properties of two- and threedimensional geometric shapes and develop mathematical arguments about geometric relationships MO G.1.A - Describe and use geometric relationships MO G.1.A.1 - identify similar and congruent shapes MO G.1.B - Apply geometric relationships MO G.1.C - Compose and decompose shapes MO G.2 - Specify locations and describe spatial relationships using coordinate geometry and other representational systems MO G.2.A - Use coordinate systems MO G.2.A.1 - use coordinate systems to construct geometric shapes MO G.3 - Apply transformations and use symmetry to analyze mathematical situations MO G.3.A - Use transformations on objects MO G.3.A.1 - describe the transformation from a given preimage using the terms reflection/flip, rotation/turn, and translation/ slide MO G.3.B - Use transformations on functions MO G.3.C - Use symmetry MO G.3.C.1 - create polygons and designs with rotational symmetry MO G.4 - Use visualization, spatial reasoning and geometric modeling to solve problems MO G.4.A - Recognize and draw three-dimensional representations MO G.4.A.1 - use spatial visualization to identify isometric representations of mat plans MO G.4.B - Draw and use visual models MO G.4.B.1 - draw or use visual models to represent and solve problems MO M - Measurement Page 37 of 39

MathFacts Grade 6 Missouri, Math, 2007, Grade 6, MO M.1 - Understand measurable attributes of objects and the units, systems and processes of measurement MO M.1.A - Determine unit of measurement MO M.1.A.1 - identify and justify the unit of measure for area and volume (customary and metric) MO M.1.B - Identify equivalent measures MO M.1.C - Tell and use units of time MO M.1.C.1 - solve problems involving elapsed time (hours and minutes) MO M.1.D - Count and compute money MO M.2 - Apply appropriate techniques, tools and formulas to determine measurements MO M.2.A - Use standard or nonstandard measurement MO M.2.B - Use angle measurement MO M.2.B.1 - identify and justify an angle as acute, obtuse, straight, or right MO M.2.C - Apply geometric measurements MO M.2.C.1 - solve problems involving the area or perimeter of polygons MO M.2.D - Analyze precision MO M.2.E - Use relationships within a measurement system MO M.2.E.1 - convert from one unit to another within a system of measurement (mass and weight) MO D - Data and Probability MO D.1 - Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them MO D.1.A - Formulate questions MO D.1.A.1 - formulate questions, design studies and collect data about a characteristic MO D.1.B - Classify and organize data Page 38 of 39