Comparison of the Common Core State Standards and the 2001 Academic Content Standards for Mathematics

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1 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Introduction This alignment summarizes the relationship between the 2001 Ohio Academic Content Stards (Ohio ACS) for Mathematics the 2010 Common Core State Stards (CCSS) adopted by Ohio on June 7, The Crosswalk lists all of the kindergarten through high school domains clusters their corresponding benchmarks from the 2001 stards. This document is provided to assist curriculum specialists teachers in reviewing their current curriculum instruction in preparation for the transition to the CCSS. The CCSS can be found at The structure organization of the stards has changed. The frameworks for the sets of stards are not parallel. While there are clear connections between both sets of stards, there also are significant differences Academic Content Stards for Mathematics Stards Benchmarks (by grade b) Indicators (by grade) 2010 Common Core State Stards for Mathematics Grades K -8 High School Grade Conceptual Category Domain Domain Cluster Cluster Stard (Statements) Stard (Statements) Each grade also identifies critical areas of focus This document connects the CCSS clusters stard statements (2010) with the Ohio benchmarks (2001). Alignments are not exact. The intent level of expectation for each of these sets of stards varies, making it difficult to say that the connections made show full alignment. Process A committee of teachers, teacher educators, ESC consultants, other mathematics professionals were brought together to assist the Ohio Department of Education in the process of identifying the connections between the 2010 CCSS the 2001 Ohio ACS for Mathematics. This task included aligning the 2001 benchmarks to the 2010 CCSS stard statements, which are grouped by clusters. Benchmarks may be aligned to one or several of the stard statements within a cluster. Benchmarks identified as perquisite skills or concepts are not included as connections. Additionally, the number of benchmarks connected to a cluster does not imply any level of alignment or coverage. Finally, we caution users of this crosswalk that alignment of a benchmark to a 2010 cluster does not necessarily imply that 2001 indicators associated with the benchmark align to the same cluster. 1 P age

2 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics How to Use This Document The first three columns identify the Grade Level, Domain Cluster from the 2010 Common Core State Stards for Mathematics. The fourth column identifies a corresponding benchmark(s) from 2001 Ohio Academic Content Stards for Mathematics that are aligned to the 2010 CCSS. Common Core State Stards K 8 Ohio 2001 Academic Content Stards Kindergarten Counting Cardinality Know number names the count sequence. Count to tell the number of objects. Compare numbers. OH.K-2.N.F Count, using numerals ordinal numbers. OH.K-2.N.F Count, using numerals ordinal numbers. OH.K-2.N.B Recognize, classify, compare order whole numbers. Reading the Ohio Code used for the benchmarks. Ohio. Grade B. Stard. Benchmark The stards in the benchmark code are identified by the following notation. N. Number, Number Sense Operations M. Measurement G. Geometry Spatial Sense A. Patterns, Functions Algebra D. Data Analysis Probability P. Mathematical Processes As mentioned above, the alignment between the two sets of stards is not perfect should not be used to re-purpose curriculum instructional materials for teaching the 2010 CCSS. This document should be used to begin the conversation the analyses of these two sets of stards. The transition from the current Ohio ACS to the newly adopted CCSS needs to be a thoughtful process involving professional development about the CCSS, local district analysis of what needs to be changed accompanied by the creation implementation of a sensible plan that gradually moves toward the CCSS by It is recommended that districts begin this process after the State Board adopts the model curriculum in March P age

3 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Kindergarten Common Core State Stards K 8 Operations Algebraic Thinking Number Operations Base Ten Ohio 2001 Academic Content Stards Know number names the count OH.K-2.N.F Count, using numerals ordinal numbers. Counting sequence. Cardinality Count to tell the number of objects. OH.K-2.N.F Count, using numerals ordinal numbers. Compare numbers. OH.K-2.N.B Recognize, classify, compare order whole numbers. Underst addition as putting together adding to, underst subtraction as taking apart taking from. Measurement Data Geometry Work with numbers to gain foundations for place value. Describe compare measurable attributes. Classify objects count the number of objects in each category. Identify describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, spheres). Analyze, compare, create, compose shapes. OH.K-2.N.G Model, represent explain addition as combining sets counting on.. OH.K-2.N.K Demonstrate fluency in addition facts with addends through 9 corresponding subtractions. OH.K-2.A.D Model problem situations, using objects, pictures, numbers other symbols. OH.K-2.N.A Use place value concepts to represent whole numbers using numerals, words physical models. OH.K-2.G.C Sort compare two-dimensional figures three-dimensional objects according to their characteristics properties. OH.K-2.A.A Sort, classify order objects by size, number other properties, describe the attributes used. OH.K-2.A.G Describe compare qualitative quantitative changes. OH.K-2.D.B Sort classify objects by attributes, organize data into categories in a simple table or chart. OH.K-2.N.F Count, using numerals ordinal numbers. OH.K-2.A.A Sort, classify order objects by size, number other properties, describe the attributes used. OH.K-2.D.A Pose questions gather data about everyday situations familiar objects. OH.K-2.D.B Sort classify objects by attributes, organize data into categories in a simple table or chart. OH.K-2.G.A Describe create plane figures: circle, rectangle, square, triangle, hexagon, trapezoid, parallelogram rhombus, identify them in the environment. OH.K-2.G.B Describe solid objects: cube, rectangular prism, sphere, cylinder, cone pyramid, identify them in the environment. OH.K-2.G.C Sort compare two-dimensional figures three-dimensional objects according to their characteristics properties. OH.K-2.G.D Identify, explain model (superposition, copying) the concept of shapes being congruent similar. OH.K-2.G.E Recognize two- three-dimensional objects from different positions. OH.K-2.G.A Describe create plane figures: circle, rectangle, square, triangle, hexagon, trapezoid, parallelogram rhombus, identify them in the environment. OH.K-2.G.B Describe solid objects: cube, rectangular prism, sphere, cylinder, cone pyramid, identify them in the environment. OH.K-2.G.C Sort compare two-dimensional figures three-dimensional objects according to their characteristics properties. OH.K-2.G.D Identify, explain model (superposition, copying) the concept of shapes being congruent similar. OH.K-2.G.E Recognize two- three-dimensional objects from different positions. 3 P age

4 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Common Core State Stards K 8 Grade One Operations Algebraic Thinking Number Operations Base Ten Measurement Data Geometry Represent solve problems involving addition subtraction. Underst apply properties of operations the relationship between addition subtraction. Add subtract within 20. Work with addition subtraction equations. Extend the counting sequence Underst Place value Use place value understing properties of operations to add subtract. Measure lengths indirectly by iterating length units. Tell write time. Represent interpret data. Reason with shapes their attributes. Ohio 2001 Academic Content Stards OH.K-2.P.F Draw pictures use physical models to represent problem situations solutions. OH.K-2.P.H Recognize the mathematical meaning of common words phrases, relate everyday language to mathematical language symbols. OH.K-2.N.K Demonstrate fluency in addition facts with addends through 9 corresponding subtractions. OH.K-2.N.M Add subtract two-digit numbers with without regrouping. OH.K-2.N.G Model, represent explain addition as combining sets counting on. OH.K-2.N.H Model, represent explain subtraction as comparison, take-away part-to-whole. OH.K-2.N.K Demonstrate fluency in addition facts with addends through 9 corresponding subtractions. OH.K-2.N.L Demonstrate fluency in adding subtracting multiples of 10, recognize combinations that make 10. OH.K-2.A.E Solve open sentences explain strategies. No Aligned Benchmarks No Aligned Benchmarks OH.K-2.P.A Use a variety of strategies to underst problem situations; e.g., discussing with peers, stating problems in own words, modeling problems with diagrams or physical materials, identifying a pattern. OH.K-2.P.E Explain to others how a problem was solved. OH.K-2.P.F Draw pictures use physical models to represent problem situations solutions. OH.K-2.P.I Communicate mathematical thinking by using everyday language appropriate mathematical language. OH.K-2.P.F Draw pictures use physical models to represent problem situations solution3s. OH.K-2.M.C Develop common referents for units of measure for length, weight, volume (capacity) time to make comparisons estimates. OH.K-2.A.G Describe compare qualitative quantitative changes. OH.K-2.D.C Represent data using objects, picture graphs bar graphs. OH.K-2.A.A Sort, classify order objects by size, number other properties, describe the attributes used. OH.K-2.P.F Draw pictures use physical models to represent problem situations solutions. 4 P age

5 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Common Core State Stards K 8 Ohio 2001 Academic Content Stards Grade Two Operations Algebraic Thinking Number Operations Base Ten Represent solve problems involving addition subtraction. Add subtract within 20. Work with equal groups of objects to gain foundations for multiplication. Underst place value. Use place value understing properties of operations to add subtract. OH.K-2.N.G Model, represent explain addition as combining sets counting on. OH.K-2.N.H Model, represent explain subtraction as comparison, take-away part-to-whole. OH.K-2.N.M Add subtract two-digit numbers with without regrouping. OH.K-2.A.D Model problem situations, using objects, pictures, numbers other symbols. OH.K-2.A.F Represent an unknown quantity as a variable using a symbol, such as,, О OH.K-2.P.F Draw pictures use physical models to represent problem situations solutions. OH.K-2.P.G Use invented conventional symbols common language to describe a problem situation solution. OH.K-2.N.K Demonstrate fluency in addition facts with addends through 9 corresponding subtractions. OH.K-2.N.B Recognize, classify, compare order whole numbers. OH.K-2.N.I Model, represent explain multiplication as repeated addition, rectangular arrays skip counting. OH.K-2.A.D Model problem situations, using objects, pictures, numbers other symbols. OH.K-2.P.G Use invented conventional symbols common language to describe a problem situation solution. OH.K-2.N.A Use place value concepts to represent whole numbers using numerals, words physical models. OH.K-2.N.B Recognize, classify, compare order whole numbers. OH.K-2.N.F Count, using numerals ordinal numbers. OH.3-4.N.A Use place value structure of the base-ten number system to read, write, represent compare whole numbers decimals. OH.K-2.N.L Demonstrate fluency in adding subtracting multiples of 10, recognize combinations that make 10. OH.K-2.N.M Add subtract two-digit numbers with without regrouping. OH.K-2.P.E Explain to others how a problem was solved. OH.K-2.P.F Draw pictures use physical models to represent problem situations solutions. OH.K-2.P.I Communicate mathematical thinking by using everyday language appropriate mathematical language. OH.3-4.N.G Model use commutative associative properties for addition multiplication. OH.3-4.N.H Use relationships between operations, such as subtraction as the inverse of addition division as the inverse of multiplication. OH.3-4.N.L Use a variety of methods appropriate tools (mental math, paper pencil, calculators) for computing with whole numbers. OH.3-4.P.K Use mathematical language to explain justify mathematical ideas, strategies solutions. 5 P age

6 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Common Core State Stards K 8 Grade Two Measurement Data Geometry Measure estimate lengths in stard units. Relate addition subtraction to length. Work with time money. Represent interpret data. Reason with shapes their attributes. Ohio 2001 Academic Content Stards OH.K-2.M.C Develop common referents for units of measure for length, weight, volume (capacity) time to make comparisons estimates. OH.K-2.M.D Apply measurement techniques to measure length, weight volume (capacity). OH.K-2.M.E Recognize that using different units of measurement will yield different numbers for the same measurement. OH.3-4.M.B Know that the number of units is inversely related to the size of the unit for any item being measured. OH.K-2.A.E Solve open sentences explain strategies. OH.K-2.A.F Represent an unknown quantity as a variable using a symbol, such as,, О OH.K-2.P.F Draw pictures use physical models to represent problem situations solutions. OH.K-2.P.G Use invented conventional symbols common language to describe a problem situation solution. OH.K-2.N.D Determine the value of a collection of coins dollar bills. OH.K-2.N.E Make change using coins for values up to one dollar. OH.K-2.P.H Recognize the mathematical meaning of common words phrases, relate everyday language to mathematical language symbols. OH.3-4.N.F Count money make change using both coins paper bills. OH.K-2.D.B Sort classify objects by attributes, organize data into categories in a simple table or chart. OH.K-2.D.C Represent data using objects, picture graphs bar graphs. OH.3-4.D.B Read interpret tables, charts, graphs (bar, picture, line, line plot), timelines as sources of information, identify main idea, draw conclusions, make predictions. OH.3-4.D.C Construct charts, tables graphs to represent data, including picture graphs, bar graphs, line graphs, line plots Venn diagrams. OH.K-2.N.C Represent commonly used fractions using words physical models. OH.K-2.G.A Describe create plane figures: circle, rectangle, square, triangle, hexagon, trapezoid, parallelogram rhombus, identify them in the environment. OH.K-2.G.B Describe solid objects: cube, rectangular prism, sphere, cylinder, cone pyramid, identify them in the environment. OH.K-2.G.E Recognize two- three-dimensional objects from different positions. OH.K-2.P.F Draw pictures use physical models to represent problem situations solutions. OH.K-2.P.H Recognize the mathematical meaning of common words phrases, relate everyday language to mathematical language symbols. OH.3-4.M.D Identify appropriate tools apply counting techniques for measuring side lengths, perimeter area of squares, rectangles, simple irregular two-dimensional shapes, volume of rectangular prisms, time temperature. OH.3-4.P.E Link concepts to procedures to symbolic notation; e.g., model 3 x 4 with a geometric array, represent one-third by dividing an object into three equal parts. 6 P age

7 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Common Core State Stards K 8 Grade Three Operations Algebraic Thinking Number Operations Base Ten Number Operations Fractions Represent solve problems involving multiplication division. Underst properties of multiplication the relationship between multiplication division. Multiply divide within 100. Solve problems involving the four operations, identify explain patterns in arithmetic. Use place value understing properties of operations to perform multi-digit arithmetic. Develop understing of fractions as numbers. Ohio 2001 Academic Content Stards OH.K-2.N.I Model, represent explain multiplication as repeated addition, rectangular arrays skip counting. OH.K-2.N.J Model, represent explain division as sharing equally, repeated subtraction rectangular arrays. OH.3-4.N.I Demonstrate fluency in multiplication facts with factors through 10 corresponding divisions. OH.3-4.N.K Analyze solve multi-step problems involving addition, subtraction, multiplication division of whole numbers. OH.3-4.A.C Write solve open sentences explain strategies. OH.3-4.A.D Represent an unknown quantity as a variable using a symbol, including letters. OH.3-4.A.E Use variables to create solve equations representing problem situations. OH.3-4.N.G Model use commutative associative properties for addition multiplication. OH.3-4.N.H Use relationships between operations, such as subtraction as the inverse of addition division as the inverse of multiplication. OH.3-4.N.J Estimate the results of whole number computations using a variety of strategies, judge the reasonableness. OH.3-4.N.K Analyze solve multi-step problems involving addition, subtraction, multiplication division of whole numbers. OH.3-4.A.A Analyze extend patterns, describe the rule in words. OH.3-4.A.C Write solve open sentences explain strategies. OH.3-4.A.D Represent an unknown quantity as a variable using a symbol, including letters. OH.3-4.A.E Use variables to create solve equations representing problem situations. OH.3-4.N.A Use place value structure of the base-ten number system to read, write, represent compare whole numbers decimals. OH.3-4.N.G Model use commutative associative properties for addition multiplication. OH.3-4.N.H Use relationships between operations, such as subtraction as the inverse of addition division as the inverse of multiplication. OH.3-4.N.L Use a variety of methods appropriate tools (mental math, paper pencil, calculators) for computing with whole numbers. OH.3-4.N.B Recognize generate equivalent representations for whole numbers, fractions decimals. OH.3-4.N.C Represent commonly used fractions mixed numbers using words physical models. OH.3-4.N.D Use models, points of reference equivalent forms of commonly used fractions to judge the size of fractions to compare, describe order them. 7 P age

8 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Common Core State Stards K 8 Grade Three Measurement Data Geometry Solve problems involving measurement estimation of intervals of time, liquid volumes, masses of objects. Represent interpret data. Geometric measurement: underst concepts of area relate area to multiplication to addition. Geometric measurement: recognize perimeter as an attribute of plane figures distinguish between linear area measures. Reason with shapes their attributes. Ohio 2001 Academic Content Stards OH.K-2.M.D Apply measurement techniques to measure length, weight volume (capacity). OH.3-4.M.A Select appropriate units for perimeter, area, weight, volume (capacity), time temperature, using: objects of uniform size; U.S. customary units; e.g., mile, square inch, cubic inch, second, degree Fahrenheit, other units as appropriate OH.3-4.M.C Develop common referents for units of measure for length, weight, volume (capacity) time to make comparisons estimates. OH.3-4.M.E Tell time to the nearest minute. OH.K-2.M.D Apply measurement techniques to measure length, weight volume (capacity). OH.3-4.D.A Gather organize data from surveys classroom experiments, including data collected over a period of time. OH.3-4.D.B Read interpret tables, charts, graphs (bar, picture, line, line plot), timelines as sources of information, identify main idea, draw conclusions, make predictions. OH.3-4.D.D Read, interpret construct graphs in which icons represent more than a single unit or intervals greater than one; e.g., each (Ohio original uses icon of bicycle) = 10 bicycles or the intervals on an axis are multiples of 10. OH.3-4.M.A Select appropriate units for perimeter, area, weight, volume (capacity), time temperature, using: objects of uniform size; U.S. customary units; e.g., mile, square inch, cubic inch, second, degree Fahrenheit, other units as app OH.3-4.M.D Identify appropriate tools apply counting techniques for measuring side lengths, perimeter area of squares, rectangles, simple irregular two-dimensional shapes, volume of rectangular prisms, time temperature. OH.5-7.M.G Underst demonstrate the independence of perimeter area for two-dimensional shapes of surface area volume for three-dimensional shapes. OH.3-4.N.C Represent commonly used fractions mixed numbers using words physical models. OH.3-4.N.D Use models, points of reference equivalent forms of commonly used fractions to judge the size of fractions to compare, describe order them. OH.3-4.G.A Provide rationale for groupings comparisons of two-dimensional figures threedimensional objects. OH.3-4.G.E Use attributes to describe, classify sketch plane figures build solid objects. OH.3-4.G.F Develop definitions of classes of shapes. 8 P age

9 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Common Core State Stards K 8 Grade Four Operations Algebraic Thinking Number Operations Base Ten Number Operations Fractions Number Operations Fractions Use the four operations with whole numbers to solve problems. Gain familiarity with factors multiples. Generate analyze patterns. Generalize place value understing for multi-digit whole numbers. Use place value understing properties of operations to perform multi-digit arithmetic. Extend understing of fraction equivalence ordering. Build fractions from unit fractions by applying extending previous understings of operations on whole numbers. Underst decimal notation for fractions, compare decimal fractions. Ohio 2001 Academic Content Stards OH.3-4.N.G Model use commutative associative properties for addition multiplication. OH.3-4.N.J Estimate the results of whole number computations using a variety of strategies, judge the reasonableness. OH.3-4.N.K Analyze solve multi-step problems involving addition, subtraction, multiplication division of whole numbers. OH.3-4.A.C Write solve open sentences explain strategies. OH.3-4.A.D Represent an unknown quantity as a variable using a symbol, including letters. OH.3-4.A.E Use variables to create solve equations representing problem situations. OH.3-4.P.B Use an organized approach appropriate strategies to solve multi-step problems. OH.3-4.P.C Interpret results in the context of the problem being solved; e.g., the solution must be a whole number of buses when determining the number of buses necessary to transport students. OH.3-4.P.G Use reasoning skills to determine explain the reasonableness of a solution with respect to the problem situation. OH.3-4.N.E Recognize classify numbers as prime or composite list factors. OH.5-7.N.G Apply explain the use of prime factorizations, common factors, common multiples in problem situations. OH.3-4.A.A Analyze extend patterns, describe the rule in words. OH.3-4.A.B Use patterns to make predictions, identify relationships, solve problems. OH.3-4.A.F Construct use a table of values to solve problems associated with mathematical relationships. OH.5-7.A.A Describe, extend determine the rule for patterns relationships occurring in numeric patterns, computation, geometry, graphs other applications. OH.3-4.N.A Use place value structure of the base-ten number system to read, write, represent compare whole numbers decimals. OH.K-2.N.M Add subtract two-digit numbers with without regrouping. OH.3-4.N.L Use a variety of methods appropriate tools (mental math, paper pencil, calculators) for computing with whole numbers. OH.3-4.A.C Write solve open sentences explain strategies. OH.3-4.N.B Recognize generate equivalent representations for whole numbers, fractions decimals. OH.3-4.N.D Use models, points of reference equivalent forms of commonly used fractions to judge the size of fractions to compare, describe order them. OH.3-4.N.M Add subtract commonly used fractions with like denominators decimals, using models paper pencil. OH.5-7.N.I Use a variety of strategies, including proportional reasoning, to estimate, compute, solve explain solutions to problems involving integers, fractions, decimals percents. OH.3-4.N.B Recognize generate equivalent representations for whole numbers, fractions decimals. OH.5-7.N.B Compare, order convert among fractions, decimals percents. OH.5-7.N.H Use analyze the steps in stard non-stard algorithms for computing with fractions, decimals integers. OH.5-7.N.I Use a variety of strategies, including proportional reasoning, to estimate, compute, solve explain solutions to problems involving integers, fractions, decimals percents. 9 P age

10 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Common Core State Stards K 8 Grade Four Measurement Data Geometry Solve problems involving measurement conversion of measurements from a larger unit to a smaller unit. Represent interpret data. Geometric measurement: underst concepts of angle measure angles. Draw identify lines angles, classify shapes by properties of their lines angles. Ohio 2001 Academic Content Stards OH.3-4.M.B Know that the number of units is inversely related to the size of the unit for any item being measured. OH.3-4.M.D Identify appropriate tools apply counting techniques for measuring side lengths, perimeter area of squares, rectangles, simple irregular two-dimensional shapes, volume of rectangular prisms, time temperature. OH.3-4.M.E Tell time to the nearest minute. OH.5-7.M.B Convert units of length, area, volume, mass time within the same measurement system. OH.5-7.M.E Use problem solving techniques technology as needed to solve problems involving length, weight, perimeter, area, volume, time temperature. OH.3-4.D.C Construct charts, tables graphs to represent data, including picture graphs, bar graphs, line graphs, line plots Venn diagrams. OH.5-7.M.C Identify appropriate tools apply appropriate techniques for measuring angles, perimeter or circumference area of triangles, quadrilaterals, circles composite shapes, surface area volume of prisms cylinders. OH.5-7.G.A Identify label angle parts the regions defined within the plane where the angle resides. OH.3-4.G.B Describe identify points, lines planes in the environment. OH.3-4.G.C Describe identify intersecting, parallel perpendicular lines or segments in the environment. OH.3-4.G.D Identify draw right, obtuse, acute straight angles. OH.3-4.G.E Use attributes to describe, classify sketch plane figures build solid objects. OH.3-4.G.F Develop definitions of classes of shapes. OH.3-4.G.H Identify describe line rotational symmetry in two-dimensional shapes designs. 10 P age

11 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Common Core State Stards K 8 Grade Five Operations Algebraic Thinking Number Operations Base Ten Number Operations Fractions Write interpret numerical expressions. Analyze patterns relationships. Underst the place value system. Perform operations with multi-digit whole numbers with decimals to hundredths. Apply extend previous understings of multiplication division to multiply divide fractions. Use equivalent fractions as a strategy to add subtract fractions. Ohio 2001 Academic Content Stards OH.5-7.N.E Use order of operations, including use of parenthesis exponents to solve multi-step problems, verify interpret the results. OH.5-7.A.G Write, simplify evaluate algebraic expressions. OH.3-4.A.B Use patterns to make predictions, identify relationships, solve problems. OH.5-7.G.C Specify locations plot ordered pairs on a coordinate plane. OH.5-7.A.A Describe, extend determine the rule for patterns relationships occurring in numeric patterns, computation, geometry, graphs other applications.oh.5-7.a.e Use rules variables to describe patterns, functions other relationships. OH.5-7.A.E Use rules variables to describe patterns, functions other relationships. OH.3-4.N.A Use place value structure of the base-ten number system to read, write, represent compare whole numbers decimals. OH.5-7.N.A Represent compare numbers less than 0 through familiar applications extending the number line. OH.5-7.N.B Compare, order convert among fractions, decimals percents. OH.5-7.A.A Describe, extend determine the rule for patterns relationships occurring in numeric patterns, computation, geometry, graphs other applications. OH.5-7.P.F Use inductive thinking to generalize a pattern of observations for particular cases, make conjectures, provide supporting arguments for conjectures OH.3-4.N.H Use relationships between operations, such as subtraction as the inverse of addition division as the inverse of multiplication. OH.3-4.N.L Use a variety of methods appropriate tools (mental math, paper pencil, calculators) for computing with whole numbers. OH.3-4.N.M Add subtract commonly used fractions with like denominators decimals, using models paper pencil. OH.5-7.N.F Apply number system properties when performing computations. OH.5-7.N.H Use analyze the steps in stard non-stard algorithms for computing with fractions, decimals integers. OH.5-7.N.I Use a variety of strategies, including proportional reasoning, to estimate, compute, solve explain solutions to problems involving integers, fractions, decimals percents. OH.5-7.N.H Use analyze the steps in stard non-stard algorithms for computing with fractions, decimals integers. OH.5-7.N.I Use a variety of strategies, including proportional reasoning, to estimate, compute, solve explain solutions to problems involving integers, fractions, decimals percents. OH.5-7.N.H Use analyze the steps in stard non-stard algorithms for computing with fractions, decimals integers. OH.5-7.N.I Use a variety of strategies, including proportional reasoning, to estimate, compute, solve explain solutions to problems involving integers, fractions, decimals percents. 11 P age

12 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Grade Five Common Core State Stards K 8 Ohio 2001 Academic Content Stards Convert like measurement units within a OH.5-7.M.B Convert units of length, area, volume, mass time within the same measurement system. given measurement system. Represent interpret data. OH.3-4.D.C Construct charts, tables graphs to represent data, including picture graphs, bar graphs, line graphs, line plots Venn diagrams. OH.3-4.M.D Identify appropriate tools apply counting techniques for measuring side lengths, perimeter area of squares, rectangles, simple irregular two-dimensional shapes, volume of rectangular prisms, Measurement time temperature. Geometric measurement: underst OH.5-7.M.C Identify appropriate tools apply appropriate techniques for measuring angles, perimeter or Data concepts of volume relate volume circumference area of triangles, quadrilaterals, circles composite shapes, surface area to multiplication to addition. volume of prisms cylinders. OH.5-7.M.E Use problem solving techniques technology as needed to solve problems involving length, weight, perimeter, area, volume, time temperature. OH.5-7.M.G Underst demonstrate the independence of perimeter area for two-dimensional shapes of surface area volume for three-dimensional shapes. OH.5-7.A.J Use formulas in problem-solving situations. Geometry Graph points on the coordinate plane to solve real-world mathematical problems. Classify two-dimensional figures into categories based on their properties. OH.3-4.G.G Find name locations in coordinate systems. OH.5-7.G.C Specify locations plot ordered pairs on a coordinate plane. OH.3-4.G.E Use attributes to describe, classify sketch plane figures build solid objects. OH.3-4.G.F Develop definitions of classes of shapes. OH.5-7.G.D Identify, describe classify types of line pairs, angles, two-dimensional figures threedimensional objects using their properties. 12 P age

13 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Common Core State Stards K 8 Grade Six Ratio Proportionality Relationships The Number System Expressions Equations Geometry Statistics Probability Underst ratio concepts use ratio reasoning to solve problems. Apply extend previous understings of multiplication division to divide fractions by fractions. Compute fluently with multi-digit numbers find common factors multiples. Apply extend previous understings of numbers to the system of rational numbers. Apply extend previous understings of arithmetic to algebraic expressions. Reason about solve one-variable equations inequalities. Represent analyze quantitative relationships between dependent independent variables. Solve real-world mathematical problems involving area, surface area, volume. Develop understing of statistical variability. Summarize describe distributions. Ohio 2001 Academic Content Stards OH.5-7.N.D Use models pictures to relate concepts of ratio, proportion percent. OH.5-7.M.B Convert units of length, area, volume, mass time within the same measurement system. OH.5-7.G.B Draw circles, identify determine the relationships among the radius, diameter, center circumference. OH.5-7.N.H Use analyze the steps in stard non-stard algorithms for computing with fractions, decimals integers. OH.5-7.N.F Apply number system properties when performing computations. OH.5-7.N.H Use analyze the steps in stard non-stard algorithms for computing with fractions, decimals integers. OH.5-7.N.A Represent compare numbers less than 0 through familiar applications extending the number line. OH.5-7.N.B Compare, order convert among fractions, decimals percents. OH.5-7.G.C Specify locations plot ordered pairs on a coordinate plane. OH.5-7.G.H Predict describe results (size, position, orientation) of transformations of two-dimensional figures OH.5-7.N.A Represent compare numbers less than 0 through familiar applications extending the number line. OH.5-7.N.B Compare, order convert among fractions, decimals percents. OH.5-7.G.C Specify locations plot ordered pairs on a coordinate plane. OH.5-7.G.H Predict describe results (size, position, orientation) of transformations of two-dimensional figures OH.5-7.A.C Use variables to create solve equations inequalities representing problem situations. OH.5-7.A.D Use symbolic algebra to represent explain mathematical relationships. OH.5-7.A.H Solve linear equations inequalities symbolically, graphically numerically. OH.5-7.A.B Represent, analyze generalize a variety of patterns functions with tables, graphs, words symbolic rules. OH.5-7.A.F Use representations, such as tables, graphs equations, to model situations to solve problems, especially those that involve linear relationships. OH.5-7.M.C Identify appropriate tools apply appropriate techniques for measuring angles, perimeter or circumference area of triangles, quadrilaterals, circles composite shapes, surface area volume of prisms cylinders. OH.5-7.A.J Use formulas in problem-solving situations. OH.5-7.D.B Interpret data by looking for patterns relationships, draw justify conclusions, answer related questions. OH.5-7.D.A Read, create use line graphs, histograms, circle graphs, box--whisker plots, stem-leaf plots, other representations when appropriate. OH.8-10.D.C Compare the characteristics of the mean, median mode for a given set of data, explain which measure of center best represents the data. 13 P age

14 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Common Core State Stards K 8 Grade Seven Ratio Proportionality Relationships The Number System Expressions Equations Geometry Analyze proportional relationships use them to solve real-world mathematical problems. Apply extend previous understings of operations with fractions to add, subtract, multiply, divide rational numbers. Use properties of operations to generate equivalent expressions. Solve real-life mathematical problems using numerical algebraic expressions equations. Draw, construct, describe geometrical figures describe the relationships between them. Solve real-life mathematical problems involving angle measure, area, surface area, volume. Ohio 2001 Academic Content Stards OH.5-7.N.I Use a variety of strategies, including proportional reasoning, to estimate, compute, solve explain solutions to problems involving integers, fractions, decimals percents. OH.5-7.A.L Analyze functional relationships, explain how a change in one quantity results in a change in the other. OH.8-10.M.F Write solve real-world, multi-step problems involving money, elapsed time temperature, verify reasonableness of solutions. OH.5-7.N.F Apply number system properties when performing computations. OH.5-7.N.H Use analyze the steps in stard non-stard algorithms for computing with fractions, decimals integers. OH.8-10.N.E Compare, order determine equivalent forms of real numbers.oh.8-10.m.a Solve increasingly complex non-routine measurement problems check for reasonableness of results. OH.8-10.M.A Solve increasingly complex non-routine measurement problems check for reasonableness of results. OH.8-10.M.F Write solve real-world, multi-step problems involving money, elapsed time temperature, verify reasonableness of solutions. OH.5-7.A.D Use symbolic algebra to represent explain mathematical relationships. OH.5-7.A.G Write, simplify evaluate algebraic expressions. OH.8-10.N.E Compare, order determine equivalent forms of real numbers. OH.5-7.M.F Analyze explain what happens to area perimeter or surface area volume when the dimensions of an object are changed. OH.5-7.G.I Identify draw three-dimensional objects from different views (top, side, front perspective). OH.5-7.G.J Apply properties of equality proportionality to solve problems involving congruent or similar figures; e.g., create a scale drawing. OH.8-10.G.E Draw construct representations of two- three-dimensional geometric objects using a variety of tools, such as straightedge, compass technology. No Aligned Benchmarks 14 P age

15 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Common Core State Stards K 8 Grade Seven Statistics Probability Use rom sampling to draw inferences about a population. Draw informal comparative inferences about two populations. Investigate chance processes develop, use, evaluate probability models Ohio 2001 Academic Content Stards OH.5-7.D.G Evaluate conjectures predictions based upon data presented in tables graphs, identify misuses of statistical data displays. OH.8-10.D.G Describe sampling methods analyze the effects of method chosen on how well the resulting sample represents the population. OH.3-4.D.E Describe data using mode, median range. OH.5-7.D.F Determine use the range, mean, median mode to analyze compare data, explain what each indicates about the data. OH.5-7.D.G Evaluate conjectures predictions based upon data presented in tables graphs, identify misuses of statistical data displays. OH.8-10.D.A Create, interpret use graphical displays statistical measures to describe data; e.g., box-whisker plots, histograms, scatterplots, measures of center variability. OH.8-10.D.C Compare the characteristics of the mean, median mode for a given set of data, explain which measure of center best represents the data. OH D.B Use descriptive statistics to analyze summarize data, including measures of center, dispersion, correlation variability. OH.3-4.D.F Conduct a simple probability experiment draw conclusions about the likelihood of possible outcomes. OH.3-4.D.G Identify represent possible outcomes, such as arrangements of a set of up to four members possible combinations from several sets, each containing 2 or 3 members. OH.3-4.D.H Use the set of possible outcomes to describe predict events. OH.5-7.D.C Evaluate interpretations conclusions as additional data are collected, modify conclusions predictions, justify new findings. OH.5-7.D.D Compare increasingly complex displays of data, such as multiple sets of data on the same graph. OH.5-7.D.E Collect, organize, display interpret data for a specific purpose or need. OH.5-7.D.H Find all possible outcomes of simple experiments or problem situations, using methods such as lists, arrays tree diagrams. OH.5-7.D.J Compare experimental theoretical results for a variety of simple experiments. OH.5-7.D.K Make justify predictions based on experimental theoretical probabilities. OH.8-10.D.J Compute probabilities of compound events, independent events, simple dependent events. 15 P age

16 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Grade Eight Common Core State Stards K 8 Number Know that there are numbers that are not rational, approximate them by System rational numbers. Expressions Equations Functions Number System Statistics Probability Work with radicals integer exponents. Underst the connections between proportional relationships, lines, linear equations. Analyze solve linear equations pairs of simultaneous linear equations. Define, evaluate, compare functions. Use functions to model relationships between quantities. Underst congruence similarity using physical models, transparencies, or geometry software. Underst apply the Pythagorean Theorem. Solve real-world mathematical problems involving volume of cylinders, cones spheres. Investigate patterns of association in bivariate data. Ohio 2001 Academic Content Stards OH.8-10.N.D Connect physical, verbal symbolic representations of integers, rational numbers irrational numbers. OH.8-10.N.E Compare, order determine equivalent forms of real numbers. OH.8-10.N.A Use scientific notation to express large numbers numbers less than one. OH.8-10.N.H Find the square root of perfect squares, approximate the square root of non-perfect squares. OH.8-10.N.I Estimate, compute solve problems involving scientific notation, square roots numbers with integer exponents. OH.5-7.M.A Select appropriate units to measure angles, circumference, surface area, mass volume, using: U.S. customary units; e.g., degrees, square feet, pounds, other units as appropriate; metric units; e.g., square meters, kilograms OH.5-7.A.M Approximate interpret rates of change from graphical numerical data. OH.8-10.A.F Solve graph linear equations inequalities. OH.8-10.A.H Solve systems of linear equations involving two variables graphically symbolically. OH.8-10.A.B Identify classify functions as linear or nonlinear, contrast their properties using tables, graphs or equations. OH.8-10.A.C Translate information from one representation (words, table, graph or equation) to another representation of a relation or function. OH.5-7.A.F Use representations, such as tables, graphs equations, to model situations to solve problems, especially those that involve linear relationships. OH.8-10.A.B Identify classify functions as linear or nonlinear, contrast their properties using tables, graphs or equations. OH.8-10.A.D Use algebraic representations, such as tables, graphs, expressions, functions inequalities, to model solve problem situations. OH.3-4.G.J Describe a motion or series of transformations that show two shapes are congruent. OH.8-10.G.B Describe apply the properties of similar congruent figures; justify conjectures involving similarity congruence. OH.8-10.G.C Recognize apply angle relationships in situations involving intersecting lines, perpendicular lines parallel lines. OH.8-10.G.F Represent model transformations in a coordinate plane describe the results. OH.8-10.G.H Establish the validity of conjectures about geometric objects, their properties relationships by counter-example, inductive deductive reasoning, critiquing arguments made by others. OH.8-10.M.B Use formulas to find surface area volume for specified three-dimensional objects accurate to a specified level of precision. OH.8-10.D.A Create, interpret use graphical displays statistical measures to describe data; e.g., box-whisker plots, histograms, scatterplots, measures of center variability. 16 P age

17 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Stards for Mathematical Practice Practice Reason abstractly quantitatively. Construct viable arguments critique the reasoning of others. Ohio 2001 Academic Content Stards Benchmark OH.3-4.P.G Use an organized approach appropriate strategies to solve multi-step problems. OH.3-4.P.J Read, interpret, discuss write about mathematical ideas concepts using both everyday mathematical language OH.5-7.P.A Clarify problem-solving situation identify potential solution processes; e.g., consider different strategies approaches to a problem, restate problem from various perspectives. OH.5-7.P.B Apply adapt problem-solving strategies to solve a variety of problems, including unfamiliar nonroutine situations. OH.5-7.P.C Recognize whether an estimate or an exact solution is appropriate for a given problem situation. OH.5-7.P.F Use inductive thinking to generalize a pattern of observations for particular cases, make conjectures, provide supporting arguments for conjectures. OH.5-7.P.I Select, apply, translate among mathematical representations to solve problems; e.g., representing a number as a fraction, decimal or percent as appropriate for a problem. OH.8-10.P.C Recognize use connections between equivalent representations related procedures for a mathematical concept; e.g., zero of a function the x-intercept of the graph of the function, apply proportional thinking when measuring, describing functions, comparing probabilities. OH.8-10.P.E Use a variety of mathematical representations flexibly appropriately to organize, record communicate mathematical ideas. OH P.C Assess the adequacy reliability of information available to solve a problem. OH.3-4.P.H Recognize basic valid invalid arguments, use examples, models, number relationships, logic to support or refute. OH.3-4.P.J Read, interpret, discuss write about mathematical ideas concepts using both everyday mathematical language. OH.3-4.P.K Use mathematical language to explain justify mathematical ideas, strategies solutions. OH.5-7.P.E Use deductive thinking to construct informal arguments to support reasoning to justify solutions to problems. OH.5-7.P.F Use inductive thinking to generalize a pattern of observations for particular cases, make conjectures, provide supporting arguments for conjectures. OH.5-7.P.G Relate mathematical ideas to one another to other content areas; e.g., use area models for adding fractions, interpret graphs in reading science social studies. OH.8-10.P.F Use precise mathematical language notations to represent problem situations mathematical ideas. OH.8-10.P.G Write clearly coherently about mathematical thinking ideas. OH.8-10.P.H Locate interpret mathematical information accurately, communicate ideas, processes solutions in a complete easily understood manner. OH.8-10.P.D Apply reasoning processes skills to construct logical verifications of counter-examples to test conjectures to justify defend algorithms solutions. OH P.D Select use various types of reasoning methods of proof. OH P.E Use a variety of mathematical representations flexibly appropriately to organize, record communicate mathematical ideas. OH P.F Use precise mathematical language notations to represent problem situations mathematical ideas. 17 P age

18 Mathematics Academic Content Stards Crosswalk Comparison of the Common Core State Stards the 2001 Academic Content Stards for Mathematics Stards for Mathematical Practice Practice Model with mathematics. Use appropriate tools strategically. Ohio 2001 Academic Content Stards Benchmark OH.K-2.P.A Use a variety of strategies to underst problem situations; e.g., discussing with peers, stating problems in own words modeling problems with diagrams or physical materials, identifying a pattern. OH.K-2.P.C Generate alternative strategies to solve problems. OH.K-2.P.F Draw pictures use physical models to represent problem situations solutions. OH.K-2.P.G Use invented conventional symbols common language to describe a problem situation solution. OH.3-4.P.A Apply justify the use of a variety of problem solving strategies; e.g., make an organized list, guess check. OH.3-4.P.B Use an organized approach appropriate strategies to solve multi-step problems. OH.3-4.P.D Use mathematical strategies to solve problems that relate to other curriculum areas the real world; e.g., use a timeline to sequence events; use symmetry in artwork. OH.3-4.P.F Recognize relationships among different topics within mathematics; e.g., the length of an object can be represented by a number. OH.3-4.P.I Represent problem situations in a variety of forms (physical model, diagram, in words or symbols), recognize when some says of representing a problem may be more helpful than others. OH.5-7.P.B Apply adapt problem-solving strategies to solve a variety of problems, including unfamiliar non-routine situations. OH.5-7.P.C Recognize whether an estimate or an exact solution is appropriate for a given problem situation. OH.5-7.P.H Use representations to organize communicate mathematical thinking problem solutions. OH.5-7.P.K Recognize use mathematical language symbols when reading, writing conversing with others. OH P.J Apply mathematical modeling to workplace consumer situations, including problem formulations, identification of a mathematical model, interpretation of solution within the model, validation to original problem situation. OH.K-2.P.B Identify restate in own words the question or problem the information needed to solve the problem. OH.K-2.P.D Evaluate the reasonableness of predictions, estimations solutions. OH.3-4.P.A Apply justify the use of a variety of problem solving strategies; e.g., make an organized list, guess check. 18 P age