kentucky state standards alignments kindergarten through

Kentucky State Standards Alignments Kindergarten through Grade Six

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Kentucky State Standards Alignments

Standards List with Aligned Product Skills

The Standards List with Aligned Product Skills Report is a standards-oriented 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

Kindergarten - Grade 3 ................................................1

Grade 4 ....................................................10

Grade 5 ....................................................29

Grade 6 ....................................................46

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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

P.O. Box 8036 Wisconsin Rapids, WI 54495-8036

Phone: (800) 338-4204 Fax: (715) 424-4242

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Agency Tag Set NameKentucky, Math, 2006, Primary, Core Content for Assessment, State Department of EducationStandard Domain Description Skillset DescriptionKY MA-EP-1 - Whole number sense, addition and subtraction are key concepts and skills developed in early childhood. Students build on their number sense and counting sense to develop multiplication and division. They move flexibly and fluently through basic number facts, operations and representations. Their understanding of the base-10 number system expands to include decimals. They examine various meanings and models of fractions. They explore data, perform measurements and examine patterns as part of the development process for number and operations, using other mathematics strands to enrich number. Computational fluency with whole numbers, relationships among decimals and fractions and techniques for reasonable estimations represent elementary number

KY MA-EP-1.1 - Number SenseKY MA-EP-1.1.1 - Students will:KY MA-EP-1.1.1.a - *Students will: apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines, expanded form, symbols) to describe whole numbers (0 to 9,999):

KY MA-EP-1.1.1.b - *Students will: apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines, symbols) to describe fractions (halves, thirds, fourths);KY MA-EP-1.1.1.c - *Students will: apply these numbers to represent real-world problems andKY MA-EP-1.1.1.d - *Students will: explain how the base 10 number system relates to place value.KY MA-EP-1.1.2 - Students will read, write and rename whole numbers (0 to 9,999) and apply to real-world and mathematical problems.

Standards List with Aligned Product SkillsProduct NameMathFacts in a Flash

MathFacts Kindergarten - Grade 3

*State-Assessed Standards092509Page 1 of 63

Agency Tag Set NameKentucky, Math, 2006, Primary, Core Content for Assessment, State Department of EducationStandard Domain Description Skillset Description


KY MA-EP-1.1.3 - *Students will compare (<, >, =) and order whole numbers to whole numbers, decimals to decimals (as money only) and fractions to fractions (limited to pictorial representations).

KY MA-EP-1.2 - EstimationKY MA-EP-1.2.1 - *Students will apply and describe appropriate strategies for estimating quantities of objects and computational results (limited to addition and subtraction).

KY MA-EP-1.3 - Number Operations

KY MA-EP-1.3.1 - Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following constraints:KY MA-EP-1.3.1.a - *Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following constraints: add and subtract whole numbers with three digits or less;

Domain 3 - Math Skills - Addition (MS)

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 5 - MS05 Addition of 6,7 (Adding 6 or 7 to numbers 0 - 10)Skillset 7 - MS07 Addition of 10 (Adding 10 to numbers 0 - 10)

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 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)

KY MA-EP-1.3.1.b - *Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following constraints: multiply whole numbers of 10 or less;

Domain 5 - Math Skills - Multiplication (MS)

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 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)

KY MA-EP-1.3.1.c - *Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following constraints: add and subtract fractions with like denominators less than or equal to four and

KY MA-EP-1.3.1.d - *Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following constraints: add and subtract decimals related to money.

KY MA-EP-1.3.2 - Students will skip-count forward and backward by 2s, 5s, 10s and 100s.





KY MA-EP-1.3.3 - Students will divide two digit numbers by single digit divisors (with or without remainders) in real-world and mathematical problems.

Domain 7 - Math Skills - Division (MS)

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 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)

KY MA-EP-1.4 - Ratios and Proportional ReasoningKY MA-EP-1.5 - Properties of Numbers and OperationsKY MA-EP-1.5.1 - *Students will identify and provide examples of odd numbers, even numbers and multiples of a number, and will apply these numbers to solve real-world problems.KY MA-EP-1.5.2 - Students will use the commutative properties of addition and multiplication, the identity properties of addition and multiplication and the zero property of multiplication in written and mental computation.KY MA-EP-2 - Students progress from measuring using nonstandard units to using standard units of measurement. They identify measurable attributes of objects, estimate and measure weight, length, perimeter, area, angles, temperature, time and money. They convert units within the same measurement system.KY MA-EP-2.1 - Measuring Physical AttributesKY MA-EP-2.1.1 - Students will apply standard units to measure length (to the nearest half-inch or the nearest centimeter) and to determine:





KY MA-EP-2.1.1.a - *Students will apply standard units to measure length (to the nearest half-inch or the nearest centimeter) and to determine: weight (nearest pound);KY MA-EP-2.1.1.b - *Students will apply standard units to measure length (to the nearest half-inch or the nearest centimeter) and to determine: time (nearest quarter hour); and

KY MA-EP-2.1.1.c - *Students will apply standard units to measure length (to the nearest half-inch or the nearest centimeter) and to determine: money (identify coins and bills by value) andKY MA-EP-2.1.1.d - *Students will apply standard units to measure length (to the nearest half-inch or the nearest centimeter) and to determine: temperature (Fahrenheit).

KY MA-EP-2.1.2 - Students will use standard units to measure temperature in Fahrenheit and Celsius to the nearest degree.KY MA-EP-2.1.3 - Students will choose and use appropriate tools (e.g., thermometer, scales, balances, clock, ruler) for specific measurement tasks.KY MA-EP-2.1.4 - Students will use nonstandard and standard units of measurement to identify measurable attributes of an object (length - in, cm; weight - oz, lb) and make an estimate using appropriate units of measurement.KY MA-EP-2.1.5 - Students will use units of measurement to describe and compare attributes of objects to include length (in, cm), width, height, money (cost), temperature (F) and weight (oz, lb), and sort objects and compare attributes by shape, size and color.





KY MA-EP-2.1.6 - Students will estimate weight, length, perimeter, area, angle measures and time using appropriate units of measurement.

KY MA-EP-2.2 - Systems of MeasurementKY MA-EP-2.2.1 - Students will describe, define, give examples of and use to solve real-world and mathematical problems nonstandard and standard (U.S. Customary, metric) units of measurement to include length (in., cm.), time, money, temperature (Fahrenheit) and weight (oz., lb).

KY MA-EP-2.2.2 - Students will determine elapsed time by half hours.

KY MA-EP-2.2.3 - Students will convert units within the same measurement system including money (dollars, cents), time (minutes, hours, days, weeks, months), weight (ounce, pound) and length (inch, foot).KY MA-EP-3 - Students explore and find basic geometric elements and terms, two-dimensional shapes and three-dimensional objects. They find and use symmetry. They move two-dimensional figures in a plane and explore congruent and similar figures.

KY MA-EP-3.1 - Shapes and RelationshipsKY MA-EP-3.1.1 - *Students will describe and provide examples of basic geometric elements and terms (sides, edges, faces, bases, vertices, angles) and will apply these elements to solve real-world and mathematical problems.





KY MA-EP-3.1.2 - *Students will describe and provide examples of basic two-dimensional shapes (circles, triangles, squares, rectangles, trapezoids, rhombuses, hexagons) and will apply these shapes to solve real-world and mathematical problems.KY MA-EP-3.1.3 - *Students will describe and provide examples of basic three-dimensional objects (spheres, cones, cylinders, pyramids, cubes) and will apply the attributes to solve real-world and mathematical problems.KY MA-EP-3.1.5 - Students will identify and describe congruent figures in real-world and mathematical problems.KY MA-EP-3.2 - Transformations of ShapesKY MA-EP-3.2.1 - *Students will describe and provide examples of line symmetry in real-world and mathematical problems or will apply one line of symmetry to construct a simple geometric design.

KY MA-EP-3.3 - Coordinate GeometryKY MA-EP-3.3.1 - Students will locate points on a grid representing a positive coordinate system.KY MA-EP-4 - Students pose questions, plan and collect data, organize and display data and interpret displays of data. They generate outcomes for simple probability activities, determine fairness of probability games and explore likely and unlikely events.KY MA-EP-4.1 - Data RepresentationsKY MA-EP-4.1.1 - *Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs with two or three sectors, line plots, two-circle Venn diagrams).





KY MA-EP-4.1.2 - Students will collect data.KY MA-EP-4.1.3 - Students will organize and display data.KY MA-EP-4.2 - Characteristics of Data SetsKY MA-EP-4.2.1 - Students will determine the mode (of a set of data with no more than one mode) and the range of a set of data.KY MA-EP-4.3 - Experiments and SamplesKY MA-EP-4.3.1 - Students will pose questions that can be answered by collecting data.KY MA-EP-4.4 - ProbabilityKY MA-EP-4.4.3 - Students will describe and give examples of the probability of an unlikely event (near zero) and a likely event (near one).

KY MA-EP-5 - Students explore and examine patterns and develop rules to go with patterns. They generate input-output for functions and create tables to analyze functions. They use ordered pairs and plot points in the first quadrant of the Cartesian plane. Students use number sentences with missing values.

KY MA-EP-5.1 - Patterns, Relations and FunctionsKY MA-EP-5.1.1 - *Students will extend simple patterns (e.g., 2,4,6,8, ...).KY MA-EP-5.1.2 - *Students will describe functions (input-output) through pictures and words.KY MA-EP-5.1.3 - Students will determine the value of an output given a function rule and an input value.KY MA-EP-5.2 - Variables, Expressions and OperationsKY MA-EP-5.3 - Equations and Inequalities





KY MA-EP-5.3.1 - *Students will model real-world and mathematical problems with simple number sentences (equations and inequalities) with a missing value (e.g., 2 + ? = 7, ___< 6) and apply simple number sentences to solve mathematical and real-world problems.


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 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)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)



Agency Tag Set NameKentucky, Math, 2006, Fourth Grade, Combined Curriculum Document, State Department of Education

Standard Domain Description Skillset Description - Number Properties and OperationsKY 2.7 - Students understand number concepts and use numbers appropriately and accurately.

KY 2.8 - Students understand various mathematical procedures and use them appropriately and accurately.

KY MA-4-NPO-U-1 - numbers, ways of representing numbers, relationships between numbers and number systems are means of representing real-world quantities.KY MA-4-NPO-S-NS1 - apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines, expanded form, symbols) to represent whole numbers (0 to 1,000,000)KY MA-4-NPO-S-NS2 - read, write and model whole numbers from 0 to 1,000,000, developing place value for hundred thousands and millions

KY MA-4-NPO-S-NS3 - order and compare numbers to 1,000,000 and understand their relative magnitude

KY MA-4-NPO-S-NS4 - investigate and apply multiple representations of commonly used and equivalent fractions through twelfths (e.g., 1/2=3/6) and decimals through thousandths with manipulatives (e.g., drawings, manipulatives, base-10 blocks, number lines, expanded form, symbols)KY MA-4-NPO-S-NS5 - explore the use of simple ratios to describe problem situationsKY MA-4-NPO-S-NS8 - explain how the base 10 number system relates to place valueKY MA-4-NPO-S-PNO1 - determine factors/multiples of a whole number


MathFacts Grade 4



Standard Domain Description Skillset Description


KY MA-4-NPO-S-PNO2 - skip-count forwards and backwards by 2s, 3s, 4s, 5s, 10s, 20s, 25s, 50s, 100s, 1,000s and 10,000s and use manipulatives, mental math and written and electronic means to communicate understandingKY MA-4-NPO-S-PNO3 - identify and provide examples of odd and even numbersKY MA-4-NPO-S-PNO4 - explore and use properties of numbers for written and mental computations (e.g., use commutative property of addition to rearrange addition such as change 12 + 4 + 8 to 12 + 8 + 4 to simplify the addition)KY MA-04-1.1.1 - *Students will:KY MA-04-1.1.1.a - *apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines, expanded form, symbols) to represent whole numbers (0 to 99,999):KY MA-04-1.1.1.b - *apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines, symbols) to describe commonly used fractions through tenths and decimals through hundredths;KY MA-04-1.1.1.c - *apply these numbers to represent real-world problems andKY MA-04-1.1.1.d - *explain how the base 10 number system relates to place value.KY MA-04-1.1.2 - Students will read, write and rename whole numbers, fractions and decimals, and apply to real-world and mathematical problems.KY MA-04-1.1.3 - *Students will compare (<, >, =) and order whole numbers, commonly used fractions and decimals, and explain the relationships (equivalence, order) between and among them.

MathFacts Grade 4





KY MA-04-1.3.2 - Students will skip-count forward and backward by 2s, 3s, 4s, 5s, 10s, 20s, 25s, 50s, 100s, 1,000, and 10,000s.KY MA-04-1.5.1 - *Students will identify and determine odd numbers, even numbers, multiples of a number and factors of a number, and will apply these numbers to solve real-world problems.

KY MA-4-NPO-U-2 - meanings of and relationships among operations provide tools necessary to solve realistic problems encountered in everyday life.KY MA-4-NPO-S-NS5 - explore the use of simple ratios to describe problem situationsKY MA-4-NPO-S-NS6 - explore the relationship between fractions, decimals and percentsKY MA-4-NPO-S-NS7 - apply whole numbers, commonly used fractions and decimals to represent real-world problemsKY MA-4-NPO-S-NS9 - develop equivalent relationships between commonly used fractions, decimals and whole numbers (e.g., 1/2=0.5, 4/2=2, 2=2.0)KY MA-4-NPO-S-NS10 - graph a whole number, commonly used fraction or decimal on a number line

KY MA-4-NPO-S-NO1 - develop and apply computational procedures to add, subtract, multiply and divide whole numbersKY MA-4-NPO-S-NO2 - use manipulatives and/or diagrams to add and subtract fractions with a common denominatorKY MA-4-NPO-S-NO3 - add and subtract decimals through thousandths

MathFacts Grade 4





KY MA-4-NPO-S-PNO4 - explore and use properties of numbers for written and mental computations (e.g., use commutative property of addition to rearrange addition such as change 12 + 4 + 8 to 12 + 8 + 4 to simplify the addition)KY MA-04-1.3.1 - *Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following constraints:KY MA-04-1.3.1.a - *add and subtract whole numbers with four digits or less;KY MA-04-1.3.1.b - *multiply whole numbers with two digits or less;KY MA-04-1.3.1.c - *divide whole numbers with three digits or less by single-digit divisors (with or without remainders);KY MA-04-1.3.1.d - *add and subtract fractions with like denominators less than or equal to 10 andKY MA-04-1.3.1.e - *add and subtract decimals through hundredths.KY MA-04-1.5.1 - *Students will identify and determine odd numbers, even numbers, multiples of a number and factors of a number, and will apply these numbers to solve real-world problems.

KY MA-04-1.5.2 - Students will use the commutative properties of addition and multiplication, the associative properties of addition and multiplication, the identity properties of addition and multiplication and the zero property of multiplication in written and mental computation.

KY MA-4-NPO-U-3 - computing fluently and making reasonable estimates increases the ability to solve realistic problems encountered in everyday life.

MathFacts Grade 4





KY MA-4-NPO-S-E1 - explore appropriate estimation procedures for different situationsKY MA-4-NPO-S-E2 - apply and explain appropriate strategies for estimating quantities of objects and computational resultsKY MA-04-1.2.1 - Students will apply and describe appropriate strategies for estimating quantities of objects and computational results.

- MeasurementKY 2.10 - Students understand measurement concepts and use measurements appropriately and accurately.KY 2.11 - Students understand mathematical change concepts and use them appropriately and accurately.KY MA-4-M-U-1 - there are two major measurement systems (U.S. Customary and metric) and either may be used to solve problems.KY MA-4-M-S-MPA2 - relate time to days, weeks, months and yearsKY MA-4-M-S-MPA3 - add and subtract time to solve problemsKY MA-4-M-S-MPA4 - read and record temperatures to the nearest degreeKY MA-4-M-S-SM1 - convert units (e.g., linear, weight, money, time) within a measurement system (e.g., 2 feet = 24 inches)KY MA-4-M-S-SM2 - describe, define, give examples of and use to solve real-world and/or mathematical problems both nonstandard and standard (U.S. Customary, metric) units of measurement to include length, weight, time, money and temperature (°F and °C)

KY MA-04-2.1.1 - *Students will apply standard units to measure length (to the nearest quarter-inch or the nearest centimeter) and to determine:

MathFacts Grade 4





KY MA-04-2.1.1.a - *weight (ounce, pound; gram, kilogram);KY MA-04-2.1.1.b - *perimeter;KY MA-04-2.1.1.c - *area (figures that can be divided into rectangular shapes);KY MA-04-2.1.1.d - *time (nearest five minutes) andKY MA-04-2.1.1.e - *temperature (Fahrenheit and Celsius).KY MA-4-M-U-2 - measurable attributes of objects and the units, systems and processes of measurement are powerful tools for making sense of the world around them.KY MA-4-M-U-3 - appropriate techniques, tools and formulas are used to determine measurements.KY MA-4-M-S-MPA1 - explore and compare non-standard and standard units for measuring angles

KY MA-4-M-S-MPA4 - read and record temperatures to the nearest degreeKY MA-4-M-S-MPA5 - measure and determine area and perimeter of a rectangleKY MA-4-M-S-MPA6 - measure and determine perimeter of regular/irregular shapesKY MA-4-M-S-MPA7 - choose and use appropriate tools (e.g., thermometer, scale, balance, clock, meter stick) for specific measurement tasksKY MA-4-M-S-MPA8 - use measurements to describe and compare attributes of objects, including length, width, height, money (cost), temperature and weight, and sort and compare objects using attributesKY MA-04-2.1.1 - *Students will apply standard units to measure length (to the nearest quarter-inch or the nearest centimeter) and to determine:

KY MA-04-2.1.1.a - *weight (ounce, pound; gram, kilogram);

MathFacts Grade 4





KY MA-04-2.1.1.b - *perimeter;KY MA-04-2.1.1.c - *area (figures that can be divided into rectangular shapes);KY MA-04-2.1.1.d - *time (nearest five minutes) andKY MA-04-2.1.1.e - *temperature (Fahrenheit and Celsius).KY MA-04-2.1.2 - Students will choose and use appropriate tools (e.g., thermometer, scales, balances, clock, meter stick, yardstick, ruler) for specific measurement tasks.

KY MA-04-2.1.3 - Students will use nonstandard and standard units of measurement to identify measurable attributes of an object (length and width) using appropriate units of measurement.KY MA-04-2.1.4 - Students will use measurements to describe and compare attributes of objects to include length (in, ft, yd, mile; cm, m, km), width, height, money (cost), temperature and weight (oz, lb, ton; g, kg); sort objects and compare attributes of objects.KY MA-04-2.1.5 - Students will use nonstandard and standard units to measure angles (as compared to 90º).KY MA-04-2.1.6 - Students will estimate weight, length, perimeter, area, angle measures and time using appropriate units of measurement.

KY MA-04-2.2.1 - Students will describe, define, give examples of and use to solve real-world and mathematical problems nonstandard and standard (U.S. Customary, metric) units of measurement (e.g., weight - oz., lbs., tons, g, kg; length - in., ft., yd., mile, cm, m, km; area in square units) and money.

MathFacts Grade 4





KY MA-04-2.2.3 - *Students will convert units within the same measurement system, including money, time (seconds, minutes, hours, days, weeks, months, years), weight (ounces, pounds) and length (inches, feet, yards).KY MA-4-M-U-4 - there is an appropriate degree of accuracy in measurement for each situation.KY MA-4-M-S-MPA9 - estimate weight, length, perimeter, area, angle measure and time using appropriate units of measurementKY MA-04-2.2.2 - Students will determine elapsed time to the nearest quarter hour. - GeometryKY 2.8 - Students understand various mathematical procedures and use them appropriately and accurately.

KY 2.9 - Students understand space and dimensionality concepts and use them appropriately and accurately.

KY MA-4-G-U-1 - characteristics and properties of two-dimensional figures and three-dimensional objects describe the world and are used to develop mathematical arguments about geometric relationships and to evaluate the arguments of others.

KY MA-4-G-S-SR1 - analyze structures of geometric figures (e.g., points, rays, lines, segments, perpendicular lines, parallel lines, intersecting lines, angles)

KY MA-4-G-S-SR2 - investigate geometric relationships (e.g., similarity, congruence) through manipulatives and drawings

MathFacts Grade 4





KY MA-4-G-S-SR3 - analyze attributes of two-dimensional figures (e.g., circle, triangles, squares, rectangles, trapezoids, rhombuses, pentagons, hexagons, octagons) and apply these attributes to solve real-world problems

KY MA-4-G-S-SR4 - analyze attributes of basic three-dimensional objects (spheres, cones, cylinders, pyramids, cubes, triangular and rectangular prisms) and will apply these attributes to solve real-world problemsKY MA-4-G-S-TS2 - identify basic two-dimensional figures in different orientations using 90º rotations (turns) around a point of rotation, reflections (flips) and translations (slides) within a planeKY MA-04-3.1.1 - *Students will describe and provide examples of basic geometric elements and terms [points, segments, lines (perpendicular, parallel, intersecting), rays, angles (acute, right, obtuse), sides, edges, faces, bases, vertices] and will apply these elements to solve real-world and mathematical problems.KY MA-04-3.1.2 - *Students will describe and provide examples of basic two-dimensional shapes [circles, triangles (right, equilateral), squares, rectangles, trapezoids, rhombuses, pentagons, hexagons, octagons] and will apply these shapes to solve real-world and mathematical problems.

KY MA-04-3.1.3 - *Students will describe and provide examples of basic three-dimensional objects (spheres, cones, cylinders, pyramids, cubes, triangular and rectangular prisms) and will apply the attributes to solve real-world and mathematical problems.

MathFacts Grade 4





KY MA-04-3.1.4 - Students will explore two-dimensional representations of three-dimensional objects (nets).KY MA-04-3.1.5 - Students will identify and describe congruent and similar figures in real-world and mathematical problems.KY MA-4-G-U-2 - representational systems, including coordinate geometry, are means for specifying locations and describing spatial relationships and are organizers for making sense of the world around them.KY MA-4-G-S-CG1 - identify and graph ordered pairs on a positive coordinate systemKY MA-4-G-S-CG2 - locate points on a gridKY MA-04-3.3.1 - *Students will identify and graph ordered pairs on a positive coordinate system scaled by ones or locate points on a grid.

KY MA-4-G-U-3 - transformations and symmetry are used to analyze real-world situations (e.g., art, nature, construction and scientific exploration).KY MA-4-G-U-4 - shape and area are conserved during mathematical transformations (flips, slides and turns).KY MA-4-G-S-TS1 - describe and provide examples of line symmetry in real-world situations; apply one or two lines of symmetry to construct a simple geometric design

KY MA-4-G-S-TS2 - identify basic two-dimensional figures in different orientations using 90º rotations (turns) around a point of rotation, reflections (flips) and translations (slides) within a plane

MathFacts Grade 4





KY MA-04-3.2.1 - *Students will describe and provide examples of line symmetry in real-world and mathematical problems or will apply one or two lines of symmetry to construct a simple geometric design.

KY MA-04-3.2.2 - Students will identify basic two-dimensional shapes in different orientations using 90º rotations (turns) around a point of rotation, reflections (flips) and translations (slides) within a plane.

KY MA-4-G-U-5 - visualization, spatial reasoning and geometric relationships model real-world situations.KY MA-4-G-S-SR3 - analyze attributes of two-dimensional figures (e.g., circle, triangles, squares, rectangles, trapezoids, rhombuses, pentagons, hexagons, octagons) and apply these attributes to solve real-world problems

KY MA-4-G-S-SR4 - analyze attributes of basic three-dimensional objects (spheres, cones, cylinders, pyramids, cubes, triangular and rectangular prisms) and will apply these attributes to solve real-world problemsKY MA-4-G-S-TS1 - describe and provide examples of line symmetry in real-world situations; apply one or two lines of symmetry to construct a simple geometric design

KY MA-04-3.1.1 - *Students will describe and provide examples of basic geometric elements and terms [points, segments, lines (perpendicular, parallel, intersecting), rays, angles (acute, right, obtuse), sides, edges, faces, bases, vertices] and will apply these elements to solve real-world and mathematical problems.

MathFacts Grade 4





KY MA-04-3.1.2 - *Students will describe and provide examples of basic two-dimensional shapes [circles, triangles (right, equilateral), squares, rectangles, trapezoids, rhombuses, pentagons, hexagons, octagons] and will apply these shapes to solve real-world and mathematical problems.

KY MA-04-3.1.3 - *Students will describe and provide examples of basic three-dimensional objects (spheres, cones, cylinders, pyramids, cubes, triangular and rectangular prisms) and will apply the attributes to solve real-world and mathematical problems.KY MA-04-3.2.1 - *Students will describe and provide examples of line symmetry in real-world and mathematical problems or will apply one or two lines of symmetry to construct a simple geometric design.

KY MA-04-3.3.1 - *Students will identify and graph ordered pairs on a positive coordinate system scaled by ones or locate points on a grid.

- Data Analysis and ProbabilityKY 2.7 - Students understand number concepts and use numbers appropriately and accurately.


KY 2.13 - Students understand and appropriately use statistics and probability.KY MA-4-DAP-U-1 - quantitative literacy is a necessary tool to be an intelligent consumer and citizen.

MathFacts Grade 4





KY MA-4-DAP-S-DR4 - analyze and make inferences from data displays (e.g., drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams)

KY MA-4-DAP-U-2 - the collection, organization, interpretation and display of data can be used to answer questions.KY MA-4-DAP-S-DR1 - explore line graphs to show change over timeKY MA-4-DAP-S-DR2 - display, read and compare data on student-generated graphsKY MA-4-DAP-S-DR3 - pose questions and choose an appropriate method to collect, organize and display student-collected data to answer the questions

KY MA-4-DAP-S-DR5 - construct data displays (e.g., pictographs, bar graphs, line plots, Venn diagrams, tables)KY MA-4-DAP-S-CD2 - develop the meaning and interpretation of the median, mode and range of a set of dataKY MA-4-DAP-S-CD3 - determine the median, mode and range of a set of dataKY MA-4-DAP-S-CD4 - compare two sets of dataKY MA-4-DAP-S-ES1 - pose questions and collect, organize, interpret and display data to answer themKY MA-04-4.1.1 - *Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams).KY MA-04-4.1.2 - Students will collect data.KY MA-04-4.1.3 - *Students will construct data displays (pictographs, bar graphs, line plots, Venn diagrams, tables).

MathFacts Grade 4





KY MA-4-DAP-U-3 - the choice of data display can affect the visual message communicated.KY MA-4-DAP-S-DR5 - construct data displays (e.g., pictographs, bar graphs, line plots, Venn diagrams, tables)KY MA-4-DAP-U-4 - inferences and predictions from data are used to make critical and informed decisions.

KY MA-4-DAP-S-DR4 - analyze and make inferences from data displays (e.g., drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams)

KY MA-4-DAP-S-CD1 - draw conclusions based on dataKY MA-4-DAP-S-P1 - use a variety of appropriate manipulatives, graphics or symbols to determine the fairness of games and make predictions from the outcomes of simple probability experimentsKY MA-4-DAP-S-P2 - determine the likelihood of an event, expressed as a fractionKY MA-4-DAP-S-P3 - describe and give examples of the probability of an unlikely event and a likely eventKY MA-4-DAP-S-P4 - use counting techniques and/or tables to explore probability experimentsKY MA-4-DAP-S-P5 - determine all possible outcomes of an activity with up to 12 possible outcomesKY MA-04-4.2.1 - Students will determine the median, mode (for a data set with no more than one mode) and range of a set of data.KY MA-04-4.3.1 - Students will pose questions that can be answered by collecting data.KY MA-4-DAP-U-5 - probability can be used to make decisions or predictions or to draw conclusions.

MathFacts Grade 4





KY MA-4-DAP-S-P1 - use a variety of appropriate manipulatives, graphics or symbols to determine the fairness of games and make predictions from the outcomes of simple probability experimentsKY MA-4-DAP-S-P2 - determine the likelihood of an event, expressed as a fractionKY MA-4-DAP-S-P3 - describe and give examples of the probability of an unlikely event and a likely eventKY MA-4-DAP-S-P4 - use counting techniques and/or tables to explore probability experimentsKY MA-4-DAP-S-P5 - determine all possible outcomes of an activity with up to 12 possible outcomesKY MA-04-4.4.1 - *Students will determine all possible outcomes of an activity/event with up to six possible outcomes.KY MA-04-4.4.2 - *Students will determine the likelihood of an event and the probability of an event (expressed as a fraction).KY MA-04-4.4.3 - Students will describe and give examples of the probability of an unlikely event (near zero) and a likely event (near one).

- Algebraic ThinkingKY 2.8 - Students understand various mathematical procedures and use them appropriately and accurately.

KY 2.11 - Students understand mathematical change concepts and use them appropriately and accurately.KY 2.12 - Students understand mathematical structure concepts including the properties and logic of various mathematical systems.KY MA-4-AT-U-1 - patterns, relations and functions are tools that help explain or predict real-world phenomena.

MathFacts Grade 4





KY MA-4-AT-S-PRF2 - compare, contrast and/or extend patterns of numbers and shapes and sounds from real-world or mathematical situationsKY MA-04-5.1.1 - *Students will extend patterns (e.g., 108, 208, 308, 408, ...) from real-world and mathematical problems; compare simple patterns (numbers, pictures, words); and describe rules for simple number patterns (e.g., 1, 3, 5, 7, ...; 5, 10, 15, 20, ...; 30, 27, 24, 21, ...).

KY MA-4-AT-U-2 - numerical patterns can be written as rules that generate the pattern.KY MA-4-AT-S-PRF1 - represent, describe, analyze and/or formulate rules for number relationships or functions through a variety of methods (e.g., the use of variables, ordered pairs, lists in tables, plots on graphs and patterns)KY MA-04-5.1.1 - *Students will extend patterns (e.g., 108, 208, 308, 408, ...) from real-world and mathematical problems; compare simple patterns (numbers, pictures, words); and describe rules for simple number patterns (e.g., 1, 3, 5, 7, ...; 5, 10, 15, 20, ...; 30, 27, 24, 21, ...).

KY MA-4-AT-U-3 - algebra represents mathematical situations and structures for analysis and problem solving.KY MA-4-AT-S-VEO1 - explore unknowns and open sentences to express relationshipsKY MA-4-AT-S-VEO2 - write stories about mathematical sentences with missing valuesKY MA-4-AT-S-EI1 - solve simple equations (e.g., 4=7-[ ], 6+[ ]=10)

Domain 1 - Overall Product (OP) (student focus)

Skillset 4 - OP04 Supplying a missing operand in a math facts sentence



MathFacts Grade 4







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)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)

Domain 5 - Math Skills - Multiplication (MS)

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 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 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 position)

Domain 7 - Math Skills - Division (MS)

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 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 9 - MS35 Alternate Forms: Division by 11 to 12 (Dividing numbers 0 - 144 by 11 or 12 with unknown in operand position)

KY MA-4-AT-S-EI2 - solve simple inequalities (e.g., N+5> 14)KY MA-4-AT-S-EI3 - apply number sentences to solve real-world problems

MathFacts Grade 4





KY MA-04-5.3.1 - *Students will model real-world and mathematical problems with simple number sentences (equations and inequalities) with a variable or a missing value (e.g., 4 = 7 - ___, N + 5 > 14, 1/2 + N = 1) and apply simple number sentences to solve mathematical and real-world problems.KY MA-4-AT-U-4 - real-world situations can be represented using mathematical models to analyze quantitative relationships.KY MA-4-AT-S-EI4 - read or create and solve story problems using mathematical sentences with missing valuesKY MA-4-AT-S-EI5 - model real-world situations with simple number sentences using manipulatives, numbers and/or symbols

KY MA-04-5.3.1 - *Students will model real-world and mathematical problems with simple number sentences (equations and inequalities) with a variable or a missing value (e.g., 4 = 7 - ___, N + 5 > 14, 1/2 + N = 1) and apply simple number sentences to solve mathematical and real-world problems.KY MA-4-AT-U-5 - functions are used to analyze change in various contexts and model real-world phenomena.KY MA-4-AT-U-6 - functions can be written in words, as a symbolic sentence or in a table.KY MA-4-AT-S-PRF1 - represent, describe, analyze and/or formulate rules for number relationships or functions through a variety of methods (e.g., the use of variables, ordered pairs, lists in tables, plots on graphs and patterns)

MathFacts Grade 4





KY MA-4-AT-S-PRF2 - compare, contrast and/or extend patterns of numbers and shapes and sounds from real-world or mathematical situationsKY MA-04-5.1.2 - *Students will describe functions (input-output) through pictures, tables, and words; and will analyze functions from a table based on real-world and mathematical problems.KY MA-04-5.1.3 - *Students will determine the value of an output given a function rule and an input value.

MathFacts Grade 4


Agency Tag Set NameKentucky, Math, 2006, Fifth Grade, Combined Curriculum Document, State Department of Education



KY MA-5-NPO-U-1 - numbers, ways of representing numbers, relationships between numbers and number systems are means of representing real-world quantities.KY MA-5-NPO-S-NS1 - read, write, model, order, compare (using relative magnitude) and apply multiple representations of whole numbers

KY MA-5-NPO-S-NS2 - compare and apply the relative sizes of common and mixed fractionsKY MA-5-NPO-S-NS3 - investigate multiple representations of equivalent fractions (e.g., 1/2 = 3/6, 1 1/2 = 3/2) with manipulatives, drawings and fractional notation

KY MA-5-NPO-S-NS4 - explore the use of simple ratios to describe problem situationsKY MA-5-NPO-S-PNO1 - use factors to determine prime and composite numbersKY MA-5-NPO-S-PNO2 - determine least common multiplesKY MA-5-NPO-S-PNO3 - skip-count forwards and backwards with fluency

KY MA-05-1.1.1 - *Students will:KY MA-05-1.1.1.a - *apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines, expanded form, symbols) to represent whole numbers (0 to 99,999,999);


MathFacts Grade 5





KY MA-05-1.1.1.b - *apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines, symbols) to describe commonly-used fractions, mixed numbers and decimals through thousandths;KY MA-05-1.1.1.c - *apply these numbers to represent real-world problems andKY MA-05-1.1.1.d - *explain how the base-10 number system relates to place value.KY MA-05-1.1.2 - Students will read, write and rename whole numbers, fractions and decimals, and apply to real-world and mathematical problems.KY MA-05-1.1.3 - *Students will compare (<, >, =) and order whole numbers), fractions and decimals, and explain the relationships (equivalence, order) between and among them.KY MA-05-1.3.2 - Students will skip-count forward and backward.KY MA-05-1.5.1 - Students will identify and determine composite numbers, prime numbers, multiples of a number, factors of a number and least common multiples (LCM), and will apply these numbers to solve real-world problems.

KY MA-5-NPO-U-2 - meanings of and relationships among operations provide tools necessary to solve realistic problems encountered in everyday life.KY MA-5-NPO-S-NS4 - explore the use of simple ratios to describe problem situationsKY MA-5-NPO-S-NS5 - explore, investigate, compare, relate and apply relationships among whole numbers, fractions, decimals and percentsKY MA-5-NPO-S-NS6 - read, write, identify and compare decimals through ten-thousandths

MathFacts Grade 5





KY MA-5-NPO-S-NO1 - develop and apply computational procedures to add, subtract, multiply and divide whole numbers using basic facts and technology as appropriate

KY MA-5-NPO-S-NO2 - add and subtract fractions with common denominators using manipulatives or symbolic notationKY MA-5-NPO-S-NO3 - add and subtract decimals through one-thousandths using manipulatives or symbolic notationKY MA-5-NPO-S-NO4 - extend multiplication to include one decimal placeKY MA-5-NPO-S-NO5 - explore the effects of operations on numbersKY MA-5-NPO-S-PNO4 - use properties of numbers for written and mental computation (e.g., combine commutative and associative properties to rearrange multiplication exercises such as 4 x (7 x 5) which can be rearranged as (4 x 5) x 7 to simplify the multiplication)

KY MA-05-1.3.1 - *Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following constraints:KY MA-05-1.3.1.a - *add, subtract, multiply, and divide whole numbers (less than 100,000,000), using technology where appropriate;KY MA-05-1.3.1.b - *add and subtract fractions with like denominators through 16, with sums less than or equal to one and

KY MA-05-1.3.1.c - *add and subtract decimals through hundredths.KY MA-05-1.3.3 - Students will multiply decimals through tenths.

MathFacts Grade 5





KY MA-05-1.5.1 - *Students will identify and determine composite numbers, prime numbers, multiples of a number, factors of a number and least common multiples (LCM), and will apply these numbers to solve real-world problems.

KY MA-05-1.5.2 - Students will use the commutative properties of addition and multiplication, the associative properties of addition and multiplication, the identity properties of addition and multiplication and the zero property of multiplication in written and mental computation.

KY MA-5-NPO-U-3 - computing fluently and making reasonable estimates increases the ability to solve realistic problems encountered in everyday life.KY MA-5-NPO-S-E1 - explore appropriate estimation procedures for different situationsKY MA-5-NPO-S-E2 - apply and explain appropriate strategies for estimating quantities of objects and computational resultsKY MA-05-1.2.1 - *Students will apply and describe appropriate strategies for estimating quantities of objects and computational results in real-world problems. - MeasurementKY 2.10 - Students understand measurement concepts and use measurements appropriately and accurately.KY 2.11 - Students understand mathematical change concepts and use them appropriately and accurately.KY MA-5-M-U-1 - there are two major measurement systems (U.S. Customary and metric) and either may be used to solve problems.KY MA-5-M-S-MPA3 - apply standard units of measure to length, weight, temperature and liquid capacity

MathFacts Grade 5





KY MA-5-M-S-MPA8 - solve problems involving moneyKY MA-5-M-S-SM1 - relate and convert units (e.g., linear, volume, weight) within a measurement system (e.g., 125 cm = 1m 25 cm)KY MA-5-M-S-SM2 - convert units within the U.S. monetary systemKY MA-5-M-S-SM3 - convert units of time and determine elapsed timeKY MA-5-M-S-SM4 - describe, define, give examples of and use to solve real-world and/or mathematical problems both nonstandard and standard (U.S. Customary, metric) units of measurement to include length, time, money, temperature (°F and °C) and weight

KY MA-05-2.1.1 - *Students will apply standard units to measure length (to the nearest eighth-inch or the nearest centimeter) and to determine:

KY MA-05-2.1.1.a - *weight (ounce, pound; gram, kilogram);KY MA-05-2.1.1.b - *perimeterKY MA-05-2.1.1.c - *area (figures that can be divided into rectangular shapes);KY MA-05-2.1.1.d - *time (nearest minute);KY MA-05-2.1.1.e - *temperature (Fahrenheit and Celsius) andKY MA-05-2.1.1.f - *angle measures (nearest degree).KY MA-05-2.2.2 - Students will describe, define, give examples of and use to solve real-world and mathematical problems nonstandard and standard (U.S. Customary, metric) units of measurement.

KY MA-5-M-U-2 - measurable attributes of objects and the units, systems and processes of measurement are powerful tools for making sense of the world around them.

MathFacts Grade 5





KY MA-5-M-U-3 - appropriate techniques, tools and formulas are used to determine measurements.KY MA-5-M-S-MPA1 - measure and construct angles to the nearest degreeKY MA-5-M-S-MPA2 - use charts and tables to determine time schedules, work with time zones and estimate timeKY MA-5-M-S-MPA4 - choose and use appropriate tools (e.g., protractor, angle ruler, meter stick, ruler) for measurement tasksKY MA-5-M-S-MPA5 - use measures to identify, describe, sort and compare attributes of objects

KY MA-5-M-S-MPA6 - use standard units to determine area and perimeter of triangles and rectangles and volume of rectangular prisms and apply these skills to solve real-world and mathematical problems

KY MA-5-M-S-SM4 - describe, define, give examples of and use to solve real-world and/or mathematical problems both nonstandard and standard (U.S. Customary, metric) units of measurement to include length, time, money, temperature (°F and °C) and weight

KY MA-05-2.1.1 - *Students will apply standard units to measure length (to the nearest eighth-inch or the nearest centimeter) and to determine:

KY MA-05-2.1.1.a - *weight (ounce, pound; gram, kilogram);KY MA-05-2.1.1.b - *perimeterKY MA-05-2.1.1.c - *area (figures that can be divided into rectangular shapes);KY MA-05-2.1.1.d - *time (nearest minute);KY MA-05-2.1.1.e - *temperature (Fahrenheit and Celsius) andKY MA-05-2.1.1.f - *angle measures (nearest degree).

MathFacts Grade 5





KY MA-05-2.1.2 - Students will choose and use appropriate tools (e.g., protractor, meter stick, ruler) for specific tasks and apply skills to solve real-world and mathematical problems.KY MA-05-2.1.3 - Students will use measurements to identify, describe, sort and compare attributes of objects and apply these to solve real-world and mathematical problems.

KY MA-05-2.1.4 - Students will measure volume of rectangular prisms, liquid capacity, and money using standard units and apply these skills to solve real-world and mathematical problems.KY MA-05-2.1.6 - *Students will estimate weight, length, perimeter, area, angle measures and time using appropriate units of measurement.

KY MA-05-2.2.1 - *Students will determine elapsed time.KY MA-05-2.2.3 - *Students will convert units within the same measurement system [U.S. customary (inches, feet, yards, miles; ounces, pounds, tons), metric (millimeters, centimeters, meters, kilometers; grams, kilograms), money, or time] and use the units to solve problems.KY MA-5-M-U-4 - for each situation, there is an appropriate degree of accuracy in measurement.

KY MA-5-M-S-MPA7 - estimate weight, length, perimeter, area and angles using appropriate units of measurement - GeometryKY 2.8 - Students understand various mathematical procedures and use them appropriately and accurately.


MathFacts Grade 5






KY MA-5-G-S-SR1 - identify and model basic two-dimensional figures and three-dimensional objects by appearance and in different orientations (e.g., representations of different views of figures and objects)

KY MA-5-G-S-SR2 - classify angles as acute, right, or obtuseKY MA-5-G-S-SR3 - describe and provide examples of basic geometric elements and terms and apply these elements to solve real-world problemsKY MA-5-G-S-SR4 - describe and provide examples of basic two-dimensional figures and three-dimensional objects and apply these to solve real-world problemsKY MA-5-G-S-SR5 - identify and describe congruent and similar figures in real-world or mathematical situationsKY MA-05-3.1.1 - *Students will describe and provide examples of basic geometric elements and terms [points, segments, lines (perpendicular, parallel, intersecting), rays, angles (acute, right, obtuse), sides, edges, faces, bases, vertices, radius, diameter] and will apply these elements to solve real-world and mathematical problems.

KY MA-05-3.1.2 - *Students will describe and provide examples of basic two-dimensional shapes [circles, triangles (right, equilateral), all quadrilaterals, pentagons, hexagons, octagons] and will apply these shapes to solve real-world and mathematical problems.

MathFacts Grade 5





KY MA-05-3.1.3 - *Students will describe and provide examples of basic three-dimensional objects (spheres, cones, cylinders, pyramids, cubes, triangular and rectangular prisms), will identify three-dimensional objects from two-dimensional representations (nets) and will apply the attributes to solve real-world and mathematical problems.KY MA-05-3.1.5 - *Students will identify and describe congruent and similar figures in real-world and mathematical problems.KY MA-5-G-U-2 - representational systems, including coordinate geometry, are means for specifying locations and describing spatial relationships and are organizers for making sense of the world around them.KY MA-5-G-S-CG1 - identify and graph ordered pairs on a positive coordinate systemKY MA-5-G-S-CG2 - locate points on a gridKY MA-5-G-S-CG3 - apply graphing in the coordinate system to solve real-world problemsKY MA-05-3.3.1 - *Students will identify and graph ordered pairs on a positive coordinate system scaled by ones, twos, threes, fives or tens; locate points on a grid; and apply graphing in the coordinate system to solve real-world problems.

KY MA-5-G-U-3 - transformations and symmetry are used to analyze real-world situations (e.g., art, nature, construction and scientific exploration).KY MA-5-G-U-4 - shape and area are conserved during mathematical transformations (flips, slides and turns). Scale conserves shape, but changes size.

MathFacts Grade 5





KY MA-5-G-S-TS1 - describe and provide examples of line symmetry in real-world situations and apply line symmetry to construct simple geometric designsKY MA-5-G-S-TS2 - identify and draw basic two-dimensional shapes in different orientations using 90º rotations (turns) around a point of rotation, reflections (flips) and translations (slides) within a plane

KY MA-05-3.2.1 - *Students will describe and provide examples of line symmetry in real-world and mathematical problems or will apply line symmetry to construct a geometric design.KY MA-05-3.2.2 - *Students will identify 90º rotations, reflections or translations of basic shapes within a plane.KY MA-5-G-U-5 - visualization, spatial reasoning and geometric relationships model real-world situations.KY MA-5-G-S-SR3 - describe and provide examples of basic geometric elements and terms and apply these elements to solve real-world problemsKY MA-5-G-S-SR4 - describe and provide examples of basic two-dimensional figures and three-dimensional objects and apply these to solve real-world problemsKY MA-5-G-S-SR5 - identify and describe congruent and similar figures in real-world or mathematical situationsKY MA-5-G-S-TS1 - describe and provide examples of line symmetry in real-world situations and apply line symmetry to construct simple geometric designs

MathFacts Grade 5





KY MA-5-G-S-TS2 - identify and draw basic two-dimensional shapes in different orientations using 90º rotations (turns) around a point of rotation, reflections (flips) and translations (slides) within a plane

KY MA-05-3.1.1 - *Students will describe and provide examples of basic geometric elements and terms [points, segments, lines (perpendicular, parallel, intersecting), rays, angles (acute, right, obtuse), sides, edges, faces, bases, vertices, radius, diameter] and will apply these elements to solve real-world and mathematical problems.

KY MA-05-3.1.3 - *Students will describe and provide examples of basic three-dimensional objects (spheres, cones, cylinders, pyramids, cubes, triangular and rectangular prisms), will identify three-dimensional objects from two-dimensional representations (nets) and will apply the attributes to solve real-world and mathematical problems.KY MA-05-3.2.1 - *Students will describe and provide examples of line symmetry in real-world and mathematical problems or will apply line symmetry to construct a geometric design. - Data Analysis and ProbabilityKY 2.7 - Students understand number concepts and use numbers appropriately and accurately.



MathFacts Grade 5





KY MA-5-DAP-S-DR4 - analyze and make inferences from data displays (e.g., drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs)

KY MA-5-DAP-U-2 - the collection, organization, interpretation and display of data can be used to answer questions.KY MA-5-DAP-S-DR1 - choose and use appropriate means to collect and represent dataKY MA-5-DAP-S-DR2 - explore line graphs to show change over timeKY MA-5-DAP-S-DR3 - pose questions and choose an appropriate method to collect, organize and display student-collected data to answer the questions

KY MA-5-DAP-S-ES1 - pose questions and collect, organize, display and interpret data to answer the questionsKY MA-05-4.1.1 - *Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs).KY MA-05-4.1.2 - Students will collect data (e.g., tallies, surveys) and explain how the skills apply in real-world and mathematical problems.

KY MA-05-4.1.3 - *Students will construct data displays (pictographs, bar graphs, line plots, line graphs, Venn diagrams, tables).

KY MA-5-DAP-U-3 - the choice of data display can affect the visual message communicated.

MathFacts Grade 5





KY MA-5-DAP-S-DR5 - use a variety of tools (e.g., graph paper, manipulatives, models, computer) to construct data displays (e.g., pictographs, bar graphs, line plots, line graphs, Venn diagrams, tables)

KY MA-05-4.2.1 - *Students will determine and apply the mean, median, mode and range of a set of data.KY MA-5-DAP-U-4 - inferences and predictions from data are used to make critical and informed decisions.

KY MA-5-DAP-S-DR4 - analyze and make inferences from data displays (e.g., drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs)

KY MA-5-DAP-S-CD1 - draw conclusions and make predictions based on dataKY MA-05-4.3.1 - Students will describe and give examples of the process of using data to answer questions (e.g., pose a question, plan, collect data, organize and display data, interpret data to answer questions).KY MA-5-DAP-U-5 - for a given set of data, the measures of central tendency (mean and median) can be different.KY MA-5-DAP-S-CD2 - develop the meaning and interpretation of the arithmetic mean (average) for numerical dataKY MA-5-DAP-S-CD3 - determine the mean, median, mode and range of a set of data and use the results to answer questions about the set of dataKY MA-5-DAP-S-P1 - determine the possible outcomes of simple probability experiments that are conducted by using manipulatives

MathFacts Grade 5





KY MA-5-DAP-S-P2 - determine the likelihood of an event and represent that likelihood in numerical terms

KY MA-5-DAP-S-P3 - examine events and describe their probability as likely or unlikelyKY MA-5-DAP-S-P4 - use counting techniques, tree diagrams and tables to explore probability experiments

KY MA-5-DAP-S-P5 - determine all possible outcomes of an activity/event with up to 20 possible outcomesKY MA-5-DAP-U-6 - probability can be used to make decisions or predictions, or to draw conclusions.

KY MA-5-DAP-S-P1 - determine the possible outcomes of simple probability experiments that are conducted by using manipulativesKY MA-5-DAP-S-P2 - determine the likelihood of an event and represent that likelihood in numerical terms

KY MA-5-DAP-S-P3 - examine events and describe their probability as likely or unlikelyKY MA-5-DAP-S-P4 - use counting techniques, tree diagrams and tables to explore probability experiments

KY MA-5-DAP-S-P5 - determine all possible outcomes of an activity/event with up to 20 possible outcomesKY MA-05-4.4.1 - *Students will determine all possible outcomes of an activity/event with up to 12 possible outcomes.KY MA-05-4.4.2 - *Students will determine the likelihood of an event and the probability of an event (expressed as a fraction). - Algebraic ThinkingKY 2.8 - Students understand various mathematical procedures and use them appropriately and accurately.

MathFacts Grade 5





KY 2.11 - Students understand mathematical change concepts and use them appropriately and accurately.KY 2.12 - Students understand mathematical structure concepts including the properties and logic of various mathematical systems.KY MA-5-AT-U-1 - patterns, relations and functions are tools that help explain or predict real-world phenomena.KY MA-5-AT-S-PRF1 - create, recognize, extend, find and write rules for patternsKY MA-05-5.1.1 - *Students will extend patterns, find the missing term(s) in a pattern or describe rules for patterns (numbers, pictures, tables, words) from real-world and mathematical problems.KY MA-5-AT-U-2 - numerical patterns can be written as rules that generate the pattern.KY MA-5-AT-S-PRF2 - generalize a rule for sets of ordered pairsKY MA-05-5.1.1 - *Students will extend patterns, find the missing term(s) in a pattern or describe rules for patterns (numbers, pictures, tables, words) from real-world and mathematical problems.KY MA-05-5.3.1 - *Students will model real-world and mathematical problems with simple number sentences (equations and inequalities) with a variable or missing value (e.g., 4 = 2 x N, ___+ 5 > 14) and apply simple number sentences to solve mathematical and real-world problems.

KY MA-5-AT-U-3 - algebra represents mathematical situations and structures for analysis and problem solving.KY MA-5-AT-S-VEO1 - explore unknowns and open sentences to express relationships

MathFacts Grade 5





KY MA-5-AT-S-VEO2 - represent real-world situations with mathematical sentences containing missing valuesKY MA-5-AT-S-VEO3 - use variables or missing values to model verbal descriptions of real-world situations

KY MA-5-AT-S-EI1 - apply simple equations and simple inequalities to solve mathematical and/or real-world problemsKY MA-5-AT-U-4 - real-world situations can be represented using mathematical models to analyze quantitative relationships.KY MA-5-AT-S-PRF4 - construct tables to analyze functions based on real-world or mathematical situations

KY MA-5-AT-S-VEO3 - use variables or missing values to model verbal descriptions of real-world situations

KY MA-5-AT-S-EI2 - model real-world situations with simple number sentences using manipulatives, numbers, variables and/or symbols

KY MA-05-5.3.1 - *Students will model real-world and mathematical problems with simple number sentences (equations and inequalities) with a variable or missing value (e.g., 4 = 2 x N, ___+ 5 > 14) and apply simple number sentences to solve mathematical and real-world problems.

KY MA-5-AT-U-5 - functions are used to analyze change in various contexts and model real-world phenomena.KY MA-5-AT-U-6 - functions can be written in words, as a symbolic sentence, or in a table.KY MA-5-AT-S-PRF3 - describe input-output functions through pictures, tables and/or words

MathFacts Grade 5





KY MA-5-AT-S-PRF4 - construct tables to analyze functions based on real-world or mathematical situations

KY MA-05-5.1.2 - *Students will describe functions (input-output) through pictures, tables, or words and will construct tables to analyze functions based on real-world or mathematical problems.KY MA-05-5.1.3 - *Students will determine an output value or an input value for a function rule given the other value.KY MA-05-5.2.1 - *Students will model verbal descriptions of real-world and mathematical problems using a variable or a missing value in an expression.

MathFacts Grade 5


Agency Tag Set NameKentucky, Math, 2006, Sixth Grade, Combined Curriculum Document, State Department of Education



KY MA-6-NPO-U-1 - numbers, ways of representing numbers, relationships among numbers and number systems are means of representing real-world quantities.KY MA-6-NPO-S-NS1 - continue to develop number sense using fractions, decimals and percents, including percents greater than 100% and improper fractionsKY MA-6-NPO-S-NS3 - develop place value of large and small numbers, including decimalsKY MA-6-NPO-S-E2 - estimate large and small quantities of objects

KY MA-06-1.1.1 - *Students will provide examples of and identify fractions, decimals and percents.KY MA-06-1.1.2 - Students will describe and provide examples of representations of numbers (whole numbers, fractions in simplest form, mixed numbers, decimals, percents) and operations in a variety of equivalent forms using models, diagrams, and symbols (e.g., number lines, 10 by 10 grids, rectangular arrays, number sentences), based on real-world and mathematical problems.KY MA-06-1.1.3 - *Students will convert between any two of the following numbers: fractions, decimals, and percents (less than or equal to 100%); and will compare and order these numbers.

Domain 1 - Overall Product (OP) (student focus)

Skillset 8 - OP08 Developing automaticity converting decimals to fractions and fractions to decimals through repeated practice


MathFacts Grade 6





Domain 8 - Math Skills - Fractions Decimal Conversion (MS)

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)

Domain 9 - Math Skills - Percentage Decimal Conversion (MS)

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)

Domain 10 - Fraction Percentage Conversion (MS)

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)

KY MA-6-NPO-U-2 - meanings of and relationships among operations provide tools necessary to solve realistic problems encountered in everyday life.KY MA-6-NPO-S-NS4 - explore positive integral exponents (e.g. squares, cubes)KY MA-6-NPO-S-NS5 - compare, order and convert between whole numbers, fractions, decimals and percents using concrete materials, drawings or pictures and mathematical symbols (e.g., <, "less than or equal to", >, "greater than or equal to", =, "not equal to", order on a number line)KY MA-6-NPO-S-NO3 - explain and/or demonstrate inversely-related operations (addition and subtraction; multiplication and division)

MathFacts Grade 6





KY MA-6-NPO-S-PNO1 - determine prime numbers, composite numbers, prime factorization, factors, multiples, greatest common factor and least common multiple

KY MA-6-NPO-S-PNO2 - simplify fractions and determine equivalent fractionsKY MA-6-NPO-S-PNO3 - use prime numbers, composite numbers, factors, multiples and divisibility to solve problemsKY MA-6-NPO-S-PNO4 - explore and/or demonstrate how applications of properties (e.g., commutative, associative, inverse and identity for addition and multiplication) show relationships among numbers and operationsKY MA-06-1.3.1 - *Students will add, subtract, multiply and divide whole numbers, fractions and decimals to solve real-world problems and apply order of operations to simplify numerical expressions.

KY MA-06-1.3.2 - Students will explain how operations (addition and subtraction; multiplication and division) are inversely related.KY MA-06-1.5.1 - *Students will identify and apply prime numbers, composite numbers, prime factorization, factors, multiples and divisibility to solve real-world and mathematical problems (e.g., prime factorization to determine a least common multiple [LCM] or greatest common factor [GCF]).KY MA-06-1.5.2 - *Students will identify the use of properties (commutative properties of addition and multiplication, the associative properties of addition and multiplication and the identity properties for addition and multiplication) to simplify numerical expressions.

MathFacts Grade 6





KY MA-6-NPO-U-3 - computing fluently and making reasonable estimates with fractions, decimals and whole numbers increases the ability to solve realistic problems encountered in everyday life.KY MA-6-NPO-S-NS2 - extend applications of operations (+, -, ×, ÷) to include fractions and decimals

KY MA-6-NPO-S-E1 - estimate and mentally compute to solve real-world and/or mathematical problems with whole numbers, fractions, decimals and percents, checking for reasonable and appropriate computational resultsKY MA-6-NPO-S-E2 - estimate large and small quantities of objects

KY MA-6-NPO-S-NO1 - develop addition, subtraction, multiplication and division of common fractions and decimals with manipulatives and symbols (e.g., mental computation, paper and pencil, calculators)

KY MA-6-NPO-S-NO2 - add, subtract, multiply, divide and apply order of operations with whole numbers, fractions and decimals to solve real-world problemsKY MA-6-NPO-S-NO3 - explain and/or demonstrate inversely-related operations (addition and subtraction; multiplication and division)

KY MA-06-1.2.1 - *Students will estimate to solve real-world and mathematical problems with whole numbers, fractions, decimals and percents, checking for reasonable and appropriate computational results.KY MA-06-1.3.1 - *Students will add, subtract, multiply and divide whole numbers, fractions and decimals to solve real-world problems and apply order of operations to simplify numerical expressions.

MathFacts Grade 6





KY MA-6-NPO-U-4 - proportional reasoning is a tool for modeling and solving problems encountered in everyday situations.KY MA-6-NPO-S-RP1 - develop meaning of percent and how to determine a percentageKY MA-6-NPO-S-RP2 - develop meaning of ratio (e.g., describe and compare two sets of data using ratios and appropriate notations: 3:5, 3/5, 3 to 5)KY MA-6-NPO-S-RP3 - define and apply ratios to solve real-world problemsKY MA-06-1.4.1 - *Students will describe and apply ratios to solve real-world problems. - MeasurementKY 2.10 - Students understand measurement concepts and use measurements appropriately and accurately.KY 2.11 - Students understand mathematical change concepts and use them appropriately and accurately.KY MA-6-M-U-1 - there are two major measurement systems (U.S. Customary and metric) and either may be used to solve problems.KY MA-6-M-S-SM1 - describe and provide examples of U.S. Customary and metric units of measurement; use these units to solve real-world and/or mathematical problems

KY MA-06-2.2.1 - Students will convert units within the same measurement system and use these units to solve real-world problems.

KY MA-6-M-U-2 - measurable attributes of objects and the units, systems and processes of measurement are powerful tools for making sense of the world around them.

MathFacts Grade 6





KY MA-6-M-U-3 - measurements are determined by using appropriate techniques, tools, formulas and degree of accuracy needed for the situation.KY MA-6-M-S-MPA1 - find perimeter of regular and irregular polygons in metric and U.S. customary units

KY MA-6-M-S-MPA2 - read and use measurement tools (e.g., rulers, scales, protractors, angle rulers)

KY MA-6-M-S-MPA3 - find area of plane figures composed of triangles, squares and rectangles by subdividing and measuring; use square units appropriatelyKY MA-6-M-S-MPA4 - estimate and find angle measures and segment measuresKY MA-6-M-S-MPA5 - estimate measurements in standard units, including fractions and decimalsKY MA-6-M-S-MPA6 - explain how measurements and measurement formulas are related or different (e.g., compare the perimeter with the area of a rectangle)KY MA-6-M-S-SM2 - estimate, compare and convert (meaning to make ballpark comparisons/not memorize conversion factors between U.S. and metric) units of measurement for length, weight/mass and volume/capacity within the U.S. customary system and within the metric system:KY MA-6-M-S-SM2.a - length (e.g., parts of an inch, inches, feet, yards, miles, millimeters, centimeters, meters, kilometers);KY MA-6-M-S-SM2.b - weight/mass (e.g., pounds, tons, grams, kilograms);KY MA-6-M-S-SM2.c - volume/capacity (e.g., cups, pints, quarts, gallons, milliliters, liters)

MathFacts Grade 6





KY MA-06-2.1.1 - *Students will measure lengths (to the nearest eighth of an inch or the nearest centimeter) and will determine and use in real-world and mathematical problems:KY MA-06-2.1.1.a - *area and perimeter of triangles;KY MA-06-2.1.1.b - *area and perimeter of quadrilaterals (rectangles, squares); (using the Pythagorean theorem will not be required as a strategy) andKY MA-06-2.1.1.c - *area and perimeter of compound figures composed of triangles and quadrilaterals.KY MA-06-2.1.2 - Students will estimate measurements in standard units including fractions and decimals.KY MA-06-2.1.3 - Students will explain how measurements and measurement formulas are related or different (perimeter and area of rectangles). - GeometryKY 2.8 - Students understand various mathematical procedures and use them appropriately and accurately.



KY MA-6-G-S-SR1 - formulate and use the rules for the sum of angle measures in a triangle (180°) and in a quadrilateral (360°)KY MA-6-G-S-SR2 - identify and use relationships among lines (e.g., parallel, perpendicular)

MathFacts Grade 6





KY MA-6-G-S-SR3 - identify, describe and provide examples of the basic geometric elements (points, rays, lines, segments, angles [acute, right, obtuse], planes, radius, diameter, circumference)

KY MA-6-G-S-SR4 - identify, describe and provide examples and properties of two-dimensional figures (circles, triangles [acute, right, obtuse, scalene, isosceles, equilateral], quadrilaterals, regular polygons); apply these properties and figures to solve real-world problems

KY MA-6-G-S-SR5 - describe, provide examples of and identify properties (e.g., vertices, angles, faces, edges, congruent parts) of common three-dimensional figures (spheres, cones, cylinders, prisms and pyramids)KY MA-6-G-S-SR6 - describe and provide examples of congruent and similar plane figures; apply congruent and similar plane figures to solve real-world problemsKY MA-6-3.1.1 - *Students will describe and provide examples of the basic geometric elements (points, rays, lines, segments, angles [acute, right, obtuse], planes, radius, diameter, circumference).

KY MA-06-3.1.2 - *Students will describe, and provide examples of the elements (e.g., sides, vertices, angles, congruent parts) of two-dimensional figures (circles, triangles, quadrilaterals, regular polygons), and will apply these elements and figures to solve real-world and mathematical problems.

MathFacts Grade 6





KY MA-06-3.1.3 - Students will describe, provide examples of, and identify elements (e.g., vertices, angles, faces, edges, congruent parts) of common three-dimensional figures (spheres, cones, cylinders, prisms, and pyramids).

KY MA-06-3.1.4 - *Students will identify and describe congruent figures, and will apply congruent figures to solve real-world and mathematical problems.KY MA-06-3.1.5 - Students will identify similar figures and apply similar figures to solve real-world and mathematical problems.KY MA-6-G-U-2 - representational systems, including coordinate geometry, are means for specifying locations and describing spatial relationships and are organizers for making sense of the world around them.KY MA-6-G-S-CG1 - identify and graph ordered pairs on a positive coordinate system, identifying the origin, axes and ordered pairsKY MA-6-G-S-CG2 - apply graphing in the positive coordinate system to solve real-world and mathematical problemsKY MA-06-3.3.1 - *Students will identify and graph ordered pairs on a positive coordinate system (Quadrant I), correctly identifying the origin, axes and ordered pairs; and will apply graphing in the coordinate system to solve real-world and mathematical problems.KY MA-6-G-U-3 - transformations and symmetry are used to analyze real-world situations (e.g., art, nature, construction and scientific exploration).KY MA-6-G-U-4 - shape and area are conserved during mathematical transformations (flips, slides and turns). Scale conserves shape, but changes size.

MathFacts Grade 6





KY MA-6-G-S-TS1 - determine lines of symmetry for a plane figure, sketch plane figures with multiple lines of symmetry and apply line symmetry to real-world and/or mathematical situationsKY MA-6-G-S-TS2 - transform (translate and reflect across a horizontal or vertical line) figures in the first quadrant of the coordinate plane and determine new coordinates of the shape after transformation

KY MA-6-G-S-TS3 - explore the rotation of a figure in a plane in the first quadrant, with and without manipulativesKY MA-06-3.2.1 - Students will describe, provide examples of, and apply line symmetry to real-world and mathematical problems.KY MA-06-3.2.2 - *Students will:KY MA-06-3.2.2.a - *reflect figures across a horizontal or vertical line in the first quadrant;KY MA-06-3.2.2.b - *translate figures in a plane in the first quadrant and

KY MA-06-3.2.2.c - *determine the coordinates of the image after transformation in the first quadrant.KY MA-06-3.2.3 - Students will identify rotations of figures in the plane (90° and 180°).KY MA-6-G-U-5 - visualization, spatial reasoning and geometric relationships model real-world situations.KY MA-6-G-S-SR3 - identify, describe and provide examples of the basic geometric elements (points, rays, lines, segments, angles [acute, right, obtuse], planes, radius, diameter, circumference)

MathFacts Grade 6





KY MA-6-G-S-SR4 - identify, describe and provide examples and properties of two-dimensional figures (circles, triangles [acute, right, obtuse, scalene, isosceles, equilateral], quadrilaterals, regular polygons); apply these properties and figures to solve real-world problems

KY MA-6-G-S-SR6 - describe and provide examples of congruent and similar plane figures; apply congruent and similar plane figures to solve real-world problemsKY MA-6-G-S-TS1 - determine lines of symmetry for a plane figure, sketch plane figures with multiple lines of symmetry and apply line symmetry to real-world and/or mathematical situationsKY MA-6-G-S-CG2 - apply graphing in the positive coordinate system to solve real-world and mathematical problemsKY MA-06-3.1.2 - *Students will describe, and provide examples of the elements (e.g., sides, vertices, angles, congruent parts) of two-dimensional figures (circles, triangles, quadrilaterals, regular polygons), and will apply these elements and figures to solve real-world and mathematical problems.KY MA-06-3.1.4 - *Students will identify and describe congruent figures, and will apply congruent figures to solve real-world and mathematical problems.KY MA-06-3.1.5 - Students will identify similar figures and apply similar figures to solve real-world and mathematical problems.KY MA-06-3.2.1 - Students will describe, provide examples of, and apply line symmetry to real-world and mathematical problems.

MathFacts Grade 6





KY MA-06-3.3.1 - *Students will identify and graph ordered pairs on a positive coordinate system (Quadrant I), correctly identifying the origin, axes and ordered pairs; and will apply graphing in the coordinate system to solve real-world and mathematical problems. - Data Analysis and ProbabilityKY 2.7 - Students understand number concepts and use numbers appropriately and accurately.



KY MA-6-DAP-S-DR2 - collect, organize, construct, analyze and interpret data in a variety of graphical methods, including line plots, line graphs, circle graphs, bar graphs and stem-and-leaf plotsKY MA-06-4.1.1 - *Students will analyze and make inferences from data displays (drawings, tables/charts, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs, stem-and-leaf plots).KY MA-06-4.1.4 - *Students will determine and construct appropriate data displays (bar graphs, line plots, Venn diagrams, tables, line graphs), and will explain why the type of display is appropriate for the data.

KY MA-6-DAP-U-2 - the collection, organization, interpretation and display of data can be used to answer questions.

MathFacts Grade 6





KY MA-6-DAP-S-DR2 - collect, organize, construct, analyze and interpret data in a variety of graphical methods, including line plots, line graphs, circle graphs, bar graphs and stem-and-leaf plotsKY MA-6-DAP-S-ES1 - pose questions; collect, organize and display dataKY MA-06-4.1.1 - *Students will analyze and make inferences from data displays (drawings, tables/charts, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs, stem-and-leaf plots).KY MA-06-4.1.4 - *Students will determine and construct appropriate data displays (bar graphs, line plots, Venn diagrams, tables, line graphs), and will explain why the type of display is appropriate for the data.

KY MA-6-DAP-U-3 - the choice of data display can affect the visual message communicated.KY MA-6-DAP-S-DR1 - select an appropriate graph to represent given data and justify the selectionKY MA-6-DAP-S-DR4 - relate different representations of data (e.g., tables, graphs, diagrams, plots)

KY MA-06-4.1.2 - Students will explain how different representations of data (e.g., tables, graphs, diagrams, plots) are related.

KY MA-6-DAP-U-4 - inferences and predictions from data are used to make critical and informed decisions.

KY MA-6-DAP-S-DR3 - compare data from various types of graphsKY MA-6-DAP-S-CD1 - make predictions, draw conclusions and verify results from statistical data and probability experiments

MathFacts Grade 6





KY MA-06-4.1.1 - *Students will analyze and make inferences from data displays (drawings, tables/charts, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs, stem-and-leaf plots).KY MA-6-DAP-U-5 - for a given set of data or a graph, statistical measures (mean, median, mode, range) can be used to describe the distribution of the data.KY MA-6-DAP-S-CD2 - determine and apply measures of distribution (mean, median, mode, range)KY MA-6-DAP-S-ES2 - explore how sample size affects the reliability of the outcomeKY MA-06-4.2.1 - *Students will determine and apply the mean, median, mode and range of a set of data.KY MA-6-DAP-U-6 - probability can be used to make decisions or predictions or to draw conclusions.KY MA-6-DAP-S-P1 - describe or determine (e.g., tables, tree diagrams) the sample space of an eventKY MA-6-DAP-S-P2 - investigate solutions to probability problems using counting techniques, tree diagrams, charts and tablesKY MA-6-DAP-S-P3 - make predictions, draw conclusions and verify results from statistical data and probability experimentsKY MA-6-DAP-S-P4 - determine simple probabilities based on the results of an experiment and make inferences based on the dataKY MA-6-DAP-S-P5 - explore the role of probability in decision making

KY MA-06-4.4.1 - *Students will describe or determine (e.g., tables, tree diagrams) the sample space of an event for a real-world or mathematical situation.

MathFacts Grade 6





KY MA-06-4.4.2 - *Students will determine single event probabilities based on the results of an experiment and will make inferences based on the data.KY MA-06-4.4.3 - Students will explore the theoretical probability of simple events. - Algebraic ThinkingKY 2.8 - Students understand various mathematical procedures and use them appropriately and accurately.

KY 2.11 - Students understand mathematical change concepts and use them appropriately and accurately.KY 2.12 - Students understand mathematical structure concepts including the properties and logic of various mathematical systems.KY MA-6-AT-U-1 - patterns, relations and functions are tools that help explain or predict real-world phenomena.KY MA-6-AT-S-PRF1 - recognize, create and extend patterns (give an informal description of the continuation of a pattern and/or generalize a pattern through a verbal rule)KY MA-6-AT-S-PRF2 - represent, interpret and describe function relationships through tables, graphs and verbal rulesKY MA-6-AT-S-PRF3 - organize input-output coordinate pairs into tables and plot points in the first quadrant of a coordinate (Cartesian) system/gridKY MA-06-5.1.1 - *Students will extend, describe rules for patterns and find a missing term in a pattern from real-world and mathematical problems.KY MA-06-5.1.2 - *Students will create tables for functions and will apply the tables to solve real-world problems.

MathFacts Grade 6





KY MA-06-5.1.3 - Students will describe, define, provide examples of, and apply to real-world and mathematical problems functions using tables, graphs and verbal rules.

KY MA-6-AT-U-2 - numerical patterns can be written as rules that generate the pattern.KY MA-6-AT-S-PRF1 - recognize, create and extend patterns (give an informal description of the continuation of a pattern and/or generalize a pattern through a verbal rule)KY MA-6-AT-S-PRF3 - organize input-output coordinate pairs into tables and plot points in the first quadrant of a coordinate (Cartesian) system/gridKY MA-06-5.1.1 - *Students will extend, describe rules for patterns and find a missing term in a pattern from real-world and mathematical problems.KY MA-6-AT-U-3 - algebra represents mathematical situations and structures for analysis and problem solving.KY MA-6-AT-S-VEO1 - explore the use of variables in expressions and equationsKY MA-6-AT-S-VEO2 - substitute numerical values for variables and evaluate algebraic expressionsKY MA-6-AT-S-VEO3 - describe, define and provide examples of algebraic expressions based on real-world and/or mathematical situations

KY MA-6-AT-S-EI1 - use concrete and/or informal methods to solve equations with one variable that model real-world situationsKY MA-6-AT-S-EI2 - solve problems involving simple formulas (e.g., A = lw, D = rt)KY MA-6-AT-S-EI3 - model and solve real-world problems with one variable equations and inequalities (e.g., 8x = 4, x + 2 > 5)

MathFacts Grade 6





KY MA-06-5.2.1 - *Students will substitute values for variables (up to two different variables) and evaluate algebraic expressions.KY MA-06-5.2.2 - Students will describe, define and provide examples of variables and expressions with a missing value based on real-world and mathematical problems.KY MA-06-5.3.1 - *Students will model and solve real-world and mathematical problems with simple equations and inequalities (e.g., 8x = 4, x + 2 > 5).KY MA-6-AT-U-4 - real-world situations can be represented using mathematical models to analyze quantitative relationships.KY MA-6-AT-S-EI1 - use concrete and/or informal methods to solve equations with one variable that model real-world situationsKY MA-6-AT-S-EI3 - model and solve real-world problems with one variable equations and inequalities (e.g., 8x = 4, x + 2 > 5)KY MA-06-5.3.1 - *Students will model and solve real-world and mathematical problems with simple equations and inequalities (e.g., 8x = 4, x + 2 > 5).KY MA-6-AT-U-5 - functions are used to analyze change in various contexts and model real-world phenomena.KY MA-6-AT-S-PRF4 - explain how the change in one quantity affects change in another quantity (e.g., in tables or graphs, input/output tables)

KY MA-6-AT-S-EI2 - solve problems involving simple formulas (e.g., A = lw, D = rt)KY MA-06-5.1.5 - Students will explain how the change in one quantity affects change in another quantity (e.g., in tables or graphs, input/output tables).

MathFacts Grade 6





KY MA-6-AT-U-6 - functions can be written in words, in a symbolic sentence or in a table.KY MA-6-AT-S-PRF2 - represent, interpret and describe function relationships through tables, graphs and verbal rulesKY MA-6-AT-S-PRF3 - organize input-output coordinate pairs into tables and plot points in the first quadrant of a coordinate (Cartesian) system/gridKY MA-6-AT-S-EI2 - solve problems involving simple formulas (e.g., A = lw, D = rt)KY MA-06-5.1.2 - *Students will create tables for functions and will apply the tables to solve real-world problems.KY MA-06-5.1.3 - Students will describe, define, provide examples of, and apply to real-world and mathematical problems functions using tables, graphs and verbal rules.

KY MA-06-5.1.4 - Students will explain how tables, graphs and patterns relate to each other.

MathFacts Grade 6


kentucky state standards alignments kindergarten through

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