#### Continually displaying student progress

The Virginia Department of Education 2016 Mathematics Standards of Learning (SOL) were written to clarify what teachers are expected to teach and what students are expected to learn. To provide students with the foundation for deep, fundamental mathematical understanding, the DreamBox curriculum reports are aligned to show student progress toward the SOL in these strands: Number and Number Sense; Computation and Estimation; Measurement; and Patterns, Functions, and Algebra.

#### Standards Alignment

RegionStandardDescriptionLevel
VirginiaK.1The student, given two sets, each containing 10 or fewer concrete objects, will identify and describe one set as having more, fewer, or the same number of members as the other set, using the concept of one-to-one correspondenceKindergarten
VirginiaK.2.aThe student will tell how many are in the set by counting the number of objects orallyKindergarten
VirginiaK.2.bThe student will write the numeral to tell how many are in the setKindergarten
VirginiaK.2.cThe student, given a set containing 15 or fewer concrete objects, willselect the corresponding numeral from a given set of numeralsKindergarten
VirginiaK.3The student, given an ordered set of ten objects and/or pictures, will indicate the ordinal position of each object, first through tenth, and the ordered position of each objectKindergarten
VirginiaK.4.aThe student will count forward to 100 and backward from 10Kindergarten
VirginiaK.4.bThe student will identify one more than a number and one less than a numberKindergarten
VirginiaK.4.cThe student will count by fives and tens to 100Kindergarten
VirginiaK.5The student will identify the parts of a set and/or region that represent fractions for halves and fourthsKindergarten
VirginiaK.6The student will model adding and subtracting whole numbers, using up to 10 concrete objectsKindergarten
VirginiaK.7The student will recognize a penny, nickel, dime, and quarter and will determine the value of a collection of pennies and/or nickels whose total value is 10 cents or lessKindergarten
VirginiaK.8The student will identify the instruments used to measure length (ruler), weight (scale), time (clock: digital and analog; calendar: day, month, and season), and temperature (thermometer)Kindergarten
VirginiaK.9The student will tell time to the hour, using analog and digital clocksKindergarten
VirginiaK.10The student will compare two objects or events, using direct comparisons or nonstandard units of measure, according to one or more of the following attributes: length (shorter, longer), height (taller, shorter), weight (heavier, lighter), temperature (hotter, colder). Examples of nonstandard units include foot length, hand span, new pencil, paper clip, and blockKindergarten
VirginiaK.11.aThe student willidentify, describe, and trace plane geometric figures (circle, triangle, square, and rectangle)Kindergarten
VirginiaK.11.bThe student willcompare the size (larger, smaller) and shape of plane geometric figures (circle, triangle, square, and rectangle)Kindergarten
VirginiaK.12The student will describe the location of one object relative to another (above, below, next to) and identify representations of plane geometric figures (circle, triangle, square, and rectangle) regardless of their positions and orientations in spaceKindergarten
VirginiaK.13The student will gather data by counting and tallyingKindergarten
VirginiaK.14The student will display gathered data in object graphs, picture graphs, and tables, and will answer questions related to the dataKindergarten
VirginiaK.15The student will sort and classify objects according to attributesKindergarten
VirginiaK.16The student will identify, describe, and extend repeating patternsKindergarten
Virginia1.1.aThe student will count from 0 to 100 and write the corresponding numeralsGrade 1
Virginia1.1.bThe student will group a collection of up to 100 objects into tens and ones and write the corresponding numeral to develop an understanding of place valueGrade 1
Virginia1.2The student will count forward by ones, twos, fives, and tens to 100 and backward by ones from 30Grade 1
Virginia1.3The student will identify the parts of a set and/or region that represent fractions for halves, thirds, and fourths and write the fractionsGrade 1
Virginia1.4.aThe student, given a familiar problem situation involving magnitude, will select a reasonable order of magnitude from three given quantities: a one-digit numeral, a two-digit numeral, and a three-digit numeral (e.g., 5, 50, 500)Grade 1
Virginia1.4.bThe student, given a familiar problem situation involving magnitude, will explain the reasonableness of the choice of order of magnitudeGrade 1
Virginia1.5The student will recall basic addition facts with sums to 18 or less and the corresponding subtraction factsGrade 1
Virginia1.6The student will create and solve one-step story and picture problems using basic addition facts with sums to 18 or less and the corresponding subtraction factsGrade 1
Virginia1.7.aThe student will identify the number of pennies equivalent to a nickel, a dime, and a quarterGrade 1
Virginia1.7.bThe student will determine the value of a collection of pennies, nickels, and dimes whose total value is 100 cents or lessGrade 1
Virginia1.8The student will tell time to the half-hour, using analog and digital clocksGrade 1
Virginia1.9The student will use nonstandard units to measure length, weight/mass, and volumeGrade 1
Virginia1.10.aThe student will compare, using the concepts of more, less, and equivalent, the volumes of two given containersGrade 1
Virginia1.10.bThe student will compare, using the concepts of more, less, and equivalent, the weight/mass of two objects, using a balance scaleGrade 1
Virginia1.11The student will use calendar language appropriately (e.g., names of the months, today, yesterday, next week, last week)Grade 1
Virginia1.12The student will identify and trace, describe, and sort plane geometric figures (triangle, square, rectangle, and circle) according to number of sides, vertices, and right anglesGrade 1
Virginia1.13The student will construct, model, and describe objects in the environment as geometric shapes (triangle, rectangle, square, and circle) and explain the reasonableness of each choiceGrade 1
Virginia1.14The student will investigate, identify and describe various forms of data collection using tables, picture graphs and object graphs.Grade 1
Virginia1.15The student will interpret information displayed in a picture or object graph, using the vocabulary more, less, fewer, greater than, less than, and equal toGrade 1
Virginia1.16The student will sort and classify concrete objects according to one or more attributes, including color, size, shape, and thicknessGrade 1
Virginia1.17The student will recognize, describe, extend, and create a wide variety of growing and repeating patternsGrade 1
Virginia1.18The student will demonstrate an understanding of equality through the use of the equal signGrade 1
Virginia2.1.aThe student will read, write, and identify the place value of each digit in a three-digit numeral, using numeration modelsGrade 2
Virginia2.1.bThe student will round two-digit numbers to the nearest tenGrade 2
Virginia2.1.cThe student will compare two whole numbers between 0 and 999, using symbols (>, <, or =) and words (greater than, less than, or equal to)Grade 2
Virginia2.2.aThe student will identify the ordinal positions first through twentieth, using an ordered set of objectsGrade 2
Virginia2.2.bThe student will write the ordinal numbersGrade 2
Virginia2.3.aThe student will identify the parts of a set and/or region that represent fractions for halves, thirds, fourths, sixths, eighths, and tenthsGrade 2
Virginia2.3.bThe student will write the fractionsGrade 2
Virginia2.3.cThe student will compare the unit fractions for halves, thirds, fourths, sixths, eighths, and tenthsGrade 2
Virginia2.4.aThe student will count forward by twos, fives, and tens to 100, starting at various multiples of 2, 5, or 10Grade 2
Virginia2.4.bThe student will count backward by tens from 100Grade 2
Virginia2.4.cThe student will recognize even and odd numbersGrade 2
Virginia2.5The student will recall addition facts with sums to 20 or less and the corresponding subtraction factsGrade 2
Virginia2.6.aThe student, given two whole numbers whose sum is 99 or less, will estimate the sumGrade 2
Virginia2.6.bThe student will find the sum, using various methods of calculationGrade 2
Virginia2.7.aThe student, given two whole numbers, each of which is 99 or less, will estimate the differenceGrade 2
Virginia2.7.bThe student will find the difference, using various methods of calculationGrade 2
Virginia2.8The student will create and solve one- and two-step addition and subtraction problems, using data from simple tables, picture graphs, and bar graphsGrade 2
Virginia2.9The student will recognize and describe the related facts that represent and describe the inverse relationship between addition and subtractionGrade 2
Virginia2.10.aThe student will count and compare a collection of pennies, nickels, dimes, and quarters whose total value is \$2.00 or lessGrade 2
Virginia2.10.bThe student will correctly use the cent symbol (¢), dollar symbol (\$), and decimal point (.)Grade 2
Virginia2.11.aThe student will estimate and measure length to the nearest centimeter and inchGrade 2
Virginia2.11.bThe student will estimate and measure weight/mass of objects in pounds/ounces and kilograms/grams, using a scaleGrade 2
Virginia2.11.cThe student will estimate and measure liquid volume in cups, pints, quarts, gallons, and litersGrade 2
Virginia2.12The student will tell and write time to the nearest five minutes, using analog and digital clocksGrade 2
Virginia2.13.aThe student will determine past and future days of the weekGrade 2
Virginia2.13.bThe student will identify specific days and dates on a given calendarGrade 2
Virginia2.14The student will read the temperature on a Celsius and/or Fahrenheit thermometer to the nearest 10 degreesGrade 2
Virginia2.15.aThe student will draw a line of symmetry in a figureGrade 2
Virginia2.15.bThe student will identify and create figures with at least one line of symmetryGrade 2
Virginia2.16The student will identify, describe, compare, and contrast plane and solid geometric figures (circle/sphere, square/cube, and rectangle/rectangular prism)Grade 2
Virginia2.17The student will use data from experiments to construct picture graphs, pictographs and bar graphs.Grade 2
Virginia2.18The student will use data from experiments to predict outcomes when the experiment is repeatedGrade 2
Virginia2.19The student will analyze data displayed in picture graphs, pictographs and bar graphs.Grade 2
Virginia2.2The student will identify, create, and extend a wide variety of patternsGrade 2
Virginia2.21The student will solve problems by completing numerical sentences involving the basic facts for addition and subtraction. The student will create story problems, using the numerical sentencesGrade 2
Virginia2.22The student will demonstrate an understanding of equality by recognizing that the symbol = in an equation indicates equivalent quantities and the symbol ≠ indicates that quantities are not equivalentGrade 2
Virginia3.1.aThe student will read and write six-digit numerals and identify the place value and value of each digitGrade 3
Virginia3.1.bThe student will round whole numbers, 9,999 or less, to the nearest ten, hundred, and thousandGrade 3
Virginia3.1.cThe student will compare two whole numbers between 0 and 9,999, using symbols (>, <, or =) and words (greater than, less than, or equal to)Grade 3
Virginia3.2The student will recognize and use the inverse relationships between addition/subtraction and multiplication/division to complete basic fact sentences. The student will use these relationships to solve problemsGrade 3
Virginia3.3.aThe student will name and write fractions (including mixed numbers) represented by a modelGrade 3
Virginia3.3.bThe student will model fractions (including mixed numbers) and write the fraction namesGrade 3
Virginia3.3.cThe student will compare fractions having like and unlike denominators, using words and symbols (>, <, or =)Grade 3
Virginia3.4The student will estimate solutions to and solve single-step and multistep problems involving the sum or difference of two whole numbers, each 9,999 or less, with or without regroupingGrade 3
Virginia3.5The student will recall multiplication facts through the twelves table, and the corresponding division factsGrade 3
Virginia3.6The student will represent multiplication and division, using area, set, and number line models, and create and solve problems that involve multiplication of two whole numbers, one factor 99 or less and the second factor 5 or lessGrade 3
Virginia3.7The student will add and subtract proper fractions having like denominators of 12 or lessGrade 3
Virginia3.8The student will determine, by counting, the value of a collection of bills and coins whose total value is \$5.00 or less, compare the value of the bills and coins, and make changeGrade 3
Virginia3.9.bThe student will estimate and use U.S. Customary and metric units to measure liquid volume in cups, pints, quarts, gallons, and litersGrade 3
Virginia3.9.cThe student will estimate and use U.S. Customary and metric units to measure weight/mass in ounces, pounds, grams, and kilogramsGrade 3
Virginia3.9.dThe student will estimate and use U.S. Customary and metric units to measure area and perimeterGrade 3
Virginia3.10.bThe student will count the number of square units needed to cover a given surface in order to determine areaGrade 3
Virginia3.11.aThe student will tell time to the nearest minute, using analog and digital clocksGrade 3
Virginia3.9.aThe student will estimate and use U.S. Customary and metric units to measure length to the nearest 1/2-inch, inch, foot, yard, centimeter, and meterGrade 3
Virginia3.11.bThe student will determine elapsed time in one-hour increments over a 12-hour periodGrade 3
Virginia3.12The student will identify equivalent periods of time, including relationships among days, months, and years, as well as minutes and hoursGrade 3
Virginia3.13The student will read temperature to the nearest degree from a Celsius thermometer and a Fahrenheit thermometer. Real thermometers and physical models of thermometers will be usedGrade 3
Virginia3.14The student will identify, describe, compare, and contrast characteristics of plane and solid geometric figures (circle, square, rectangle, triangle, cube, rectangular prism, square pyramid, sphere, cone, and cylinder) by identifying relevant characteristics, including the number of angles, vertices, and edges, and the number and shape of faces, using concrete modelsGrade 3
Virginia3.15The student will identify and draw representations of points, line segments, rays, angles, and linesGrade 3
Virginia3.16The student will identify and describe congruent and noncongruent plane figuresGrade 3
Virginia3.17.aThe student will collect and organize data, using observations, measurements, surveys, or experimentsGrade 3
Virginia3.17.bThe student will construct a line plot, a picture graph, or a bar graph to represent the dataGrade 3
Virginia3.17.cThe student will read and interpret the data represented in line plots, bar graphs, and picture graphs and write a sentence analyzing the dataGrade 3
Virginia3.18The student will investigate and describe the concept of probability as chance and list possible results of a given situationGrade 3
Virginia3.19The student will recognize and describe a variety of patterns formed using numbers, tables, and pictures, and extend the patterns, using the same or different formsGrade 3
Virginia3.20.aThe student will investigate the identity and the commutative properties for addition and multiplicationGrade 3
Virginia3.20.bThe student will identify examples of the identity and commutative properties for addition and multiplicationGrade 3
Virginia4.1.aThe student will identify orally and in writing the place value for each digit in a whole number expressed through millionsGrade 4
Virginia4.1.bThe student will compare two whole numbers expressed through millions, using symbols (>, <, or = )Grade 4
Virginia4.1.cThe student will round whole numbers expressed through millions to the nearest thousand, ten thousand, and hundred thousandGrade 4
Virginia4.2.aThe student will compare and order fractions and mixed numbersGrade 4
Virginia4.2.bThe student will represent equivalent fractionsGrade 4
Virginia4.2.cThe student will identify the division statement that represents a fractionGrade 4
Virginia4.3.aThe student will read, write, represent, and identify decimals expressed through thousandthsGrade 4
Virginia4.3.bThe student will round decimals to the nearest whole number, tenth, and hundredthGrade 4
Virginia4.3.cThe student will compare and order decimalsGrade 4
Virginia4.3.dThe student will given a model, write the decimal and fraction equivalentsGrade 4
Virginia4.4.aThe student will estimate sums, differences, products, and quotients of whole numbersGrade 4
Virginia4.4.bThe student will add, subtract, and multiply whole numbersGrade 4
Virginia4.4.cThe student will divide whole numbers, finding quotients with and without remaindersGrade 4
Virginia4.4.dThe student will solve single-step and multistep addition, subtraction, and multiplication problems with whole numbersGrade 4
Virginia4.5.aThe student will determine common multiples and factors, including least common multiple and greatest common factor of up to two fractionsGrade 4
Virginia4.5.bThe student will add and subtract fractions having like and unlike denominators that are limited to 2, 3, 4, 5, 6, 8, 10, and 12, and simplify the resulting fractions, using common multiples and factorsGrade 4
Virginia4.5.cThe student will add and subtract with decimalsGrade 4
Virginia4.5.dThe student will solve single-step and multistep practical problems involving addition and subtraction with fractions and with decimalsGrade 4
Virginia4.6.aThe student will estimate and measure weight/mass and describe the results in U.S. Customary and metric units as appropriateGrade 4
Virginia4.6.bThe student will identify equivalent measurements between units within the U.S. Customary system (ounces, pounds, and tons) and between units within the metric system (grams and kilograms)Grade 4
Virginia4.7.aThe student will estimate and measure length, and describe the result in both metric and U.S. Customary units.Grade 4
Virginia4.7.bThe student will identify equivalent measurements between units within the U.S. Customary system (inches and feet; feet and yards; inches and yards; yards and miles) and between units within the metric system (millimeters and centimeters; centimeters and meters; and millimeters and meters)Grade 4
Virginia4.8.aThe student will estimate and measure liquid volume and describe the results in U.S. Customary unitsGrade 4
Virginia4.8.bThe student will identify equivalent measurements between units within the U.S. Customary system (cups, pints, quarts, and gallons)Grade 4
Virginia4.9The student will determine elapsed time in hours and minutes within a 12-hour period.Grade 4
Virginia4.10.aThe student will identify and describe representations of points, lines, line segments, rays, and angles, including endpoints and verticesGrade 4
Virginia4.10.bThe student will identify representations of lines that illustrate intersection, parallelism, and perpendicularityGrade 4
Virginia4.11.aThe student will investigate congruence of plane figures after geometric transformations, such as reflection, translation, and rotation, using mirrors, paper folding, and tracingGrade 4
Virginia4.11.bThe student will recognize the images of figures resulting from geometric transformations, such as translation, reflection, and rotationGrade 4
Virginia4.12.aThe student will define polygonGrade 4
Virginia4.12.bThe student will identify polygons with 10 or fewer sidesGrade 4
Virginia4.13.aThe student will predict the likelihood of an outcome of a simple eventGrade 4
Virginia4.13.bThe student will represent probability as a number between 0 and 1, inclusiveGrade 4
Virginia4.14The student will collect, organize, display, and interpret data from a variety of graphsGrade 4
Virginia4.15The student will recognize, create, and extend numerical and geometric patternsGrade 4
Virginia4.16.aThe student will recognize and demonstrate the meaning of equality in an equationGrade 4
Virginia4.16.bThe student will investigate and describe the associative property for addition and multiplicationGrade 4
Virginia5.1The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredthGrade 5
Virginia5.2.aThe student will recognize and name fractions in their equivalent decimal form and vice versaGrade 5
Virginia5.2.bThe student will compare and order fractions and decimals in a given set from least to greatest and greatest to leastGrade 5
Virginia5.3.aThe student will identify and describe the characteristics of prime and composite numbersGrade 5
Virginia5.3.bThe student will identify and describe the characteristics of even and odd numbersGrade 5
Virginia5.4The student will create and solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division with and without remainders of whole numbersGrade 5
Virginia5.5.aThe student will find the sum, difference, product, and quotient of two numbers expressed as decimals through thousandths (divisors with only one nonzero digit)Grade 5
Virginia5.5.bThe student will create and solve single-step and multistep practical problems involving decimalsGrade 5
Virginia5.6The student will solve single-step and multistep practical problems involving addition and subtraction with fractions and mixed numbers and express answers in simplest formGrade 5
Virginia5.7The student will evaluate whole number numerical expressions, using the order of operations limited to parentheses, addition, subtraction, multiplication, and division.Grade 5
Virginia5.8.aThe student will find perimeter, area, and volume in standard units of measureGrade 5
Virginia5.8.bThe student will differentiate among perimeter, area, and volume and identify whether the application of the concept of perimeter, area, or volume is appropriate for a given situationGrade 5
Virginia5.8.cThe student will identify equivalent measurements within the metric systemGrade 5
Virginia5.8.dThe student will estimate and then measure to solve problems, using U.S. Customary and metric unitsGrade 5
Virginia5.8.eThe student will choose an appropriate unit of measure for a given situation involving measurement using U.S. Customary and metric unitsGrade 5
Virginia5.9The student will identify and describe the diameter, radius, chord, and circumference of a circleGrade 5
Virginia5.1The student will determine an amount of elapsed time in hours and minutes within a 24-hour period.Grade 5
Virginia5.11The student will measure right, acute, obtuse, and straight anglesGrade 5
Virginia5.12.aThe student will classify angles as right, acute, obtuse, or straightGrade 5
Virginia5.12.bThe student will classify triangles as right, acute, obtuse, equilateral, scalene, or isoscelesGrade 5
Virginia5.13.aThe student, using plane figures (square, rectangle, triangle, parallelogram, rhombus, and trapezoid), will develop definitions of these plane figuresGrade 5
Virginia5.13.bThe student, using plane figures (square, rectangle, triangle, parallelogram, rhombus, and trapezoid), will investigate and describe the results of combining and subdividing plane figuresGrade 5
Virginia5.14The student will make predictions and determine the probability of an outcome by constructing a sample spaceGrade 5
Virginia5.15The student, given a problem situation, will collect, organize, and interpret data in a variety of forms, using stem-and-leaf plots and line graphsGrade 5
Virginia5.16.aThe student will describe mean, median, and mode as measures of centerGrade 5
Virginia5.16.bThe student will describe mean as fair shareGrade 5
Virginia5.16.cThe student will find the mean, median, mode, and range of a set of dataGrade 5
Virginia5.16.dThe student will describe the range of a set of data as a measure of variationGrade 5
Virginia5.17The student will describe the relationship found in a number pattern and express the relationship.Grade 5
Virginia5.18.aThe student will investigate and describe the concept of variableGrade 5
Virginia5.18.bThe student will write an open sentence to represent a given mathematical relationship, using a variableGrade 5
Virginia5.18.cThe student will model one-step linear equations in one variable, using addition and subtraction.Grade 5
Virginia5.18.dThe student will create a problem situation based on a given open sentence, using a single variableGrade 5
Virginia5.19The student will investigate and recognize the distributive property of multiplication over additionGrade 5
Virginia6.2.aThe student will investigate and describe fractions, decimals, and percents as ratiosGrade 6
Virginia6.2.bThe student will identify a given fraction, decimal, or percent from a representationGrade 6
Virginia6.2.cThe student will demonstrate equivalent relationships among fractions, decimals, and percentsGrade 6
Virginia6.2.dThe student will compare and order fractions, decimals, and percentsGrade 6
Virginia6.3.aThe student will identify and represent integersGrade 6
Virginia6.3.bThe student will order and compare integersGrade 6
Virginia6.3.cThe student will identify and describe absolute value of integers.Grade 6
Virginia6.4The student will demonstrate multiple representations of multiplication and division of fractionsGrade 6
Virginia6.1.aThe student will describe and compare data, using ratios, and will use appropriate notations, such as a/b, a to b, and a:b.Grade 6
Virginia6.5The student will investigate and describe concepts of positive exponents and perfect squares.Grade 6
Virginia6.6.aThe student will multiply and divide fractions and mixed numbersGrade 6
Virginia6.6.bThe student will estimate solutions and then solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractionsGrade 6
Virginia6.7The student will solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of decimalsGrade 6
Virginia6.8The student will evaluate whole number numerical expressions, using the order of operations.Grade 6
Virginia6.9The student will make ballpark comparisons between measurements in the U.S. Customary System of measurement and measurements in the metric systemGrade 6
Virginia6.10.aThe student will define π (pi) as the ratio of the circumference of a circle to its diameterGrade 6
Virginia6.10.bThe student will solve practical problems involving circumference and area of a circle, given the diameter or radiusGrade 6
Virginia6.10.cThe student will solve practical problems involving area and perimeterGrade 6
Virginia6.10.dThe student will describe and determine the volume and surface area of a rectangular prismGrade 6
Virginia6.11.aThe student will identify the coordinates of a point in a coordinate plane.Grade 6
Virginia6.11.bThe student will graph ordered pairs in a coordinate plane.Grade 6
Virginia6.12The student will determine congruence of segments, angles, and polygonsGrade 6
Virginia6.13The student will describe and identify properties of quadrilateralsGrade 6
Virginia6.14.aThe student, given a problem situation, will construct circle graphsGrade 6
Virginia6.14.bThe student, given a problem situation, will draw conclusions and make predictions, using circle graphsGrade 6
Virginia6.14.cThe student, given a problem situation, will compare and contrast graphs that present information from the same data setGrade 6
Virginia6.15.aThe student will describe mean as balance pointGrade 6
Virginia6.15.bThe student will decide which measure of center is appropriate for a given purposeGrade 6
Virginia6.16.aThe student will compare and contrast dependent and independent eventsGrade 6
Virginia6.16.bThe student will determine probabilities for dependent and independent eventsGrade 6
Virginia6.17The student will identify and extend geometric and arithmetic sequencesGrade 6
Virginia6.18The student will solve one step linear equations in one variable involving whole number coefficients and positive rational solutions.Grade 6
Virginia6.19.aThe student will investigate and recognize the identity properties for addition and multiplicationGrade 6
Virginia6.19.bThe student will investigate and recognize the multiplicative property of zeroGrade 6
Virginia6.19.cThe student will investigate and recognize the inverse property for multiplicationGrade 6
Virginia6.2The student will graph inequalities on a number lineGrade 6
Virginia7.1.aThe student will investigate and describe the concept of negative exponents for powers of tenGrade 7
Virginia7.1.bThe student will determine scientific notation for numbers greater than zeroGrade 7
Virginia7.1.cThe student will compare and order fractions, decimals, percents, and numbers written in scientific notationGrade 7
Virginia7.1.dThe student will determine square rootsGrade 7
Virginia7.1.eThe student will identify and describe absolute value for rational numbersGrade 7
Virginia7.2The student will describe and represent arithmetic and geometric sequences, using variable expressionsGrade 7
Virginia7.3.aThe student will model addition, subtraction, multiplication, and division of integersGrade 7
Virginia7.3.bThe student will add, subtract, multiply, and divide integersGrade 7
Virginia7.4The student will solve single-step and multistep practical problems, using proportional reasoningGrade 7
Virginia7.5.aThe student will describe volume and surface area of cylindersGrade 7
Virginia7.5.bThe student will solve practical problems involving the volume and surface area of rectangular prisms and cylindersGrade 7
Virginia7.5.cThe student will describe how changing one measured attribute of a rectangular prism affects its volume and surface areaGrade 7
Virginia7.6The student will determine whether plane figures—quadrilaterals and triangles—are similar and write proportions to express the relationships between corresponding sides of similar figuresGrade 7
Virginia7.7The student will compare and contrast the following quadrilaterals based on properties: parallelogram, rectangle, square, rhombus, and trapezoid.Grade 7
Virginia7.8The student, given a polygon in the coordinate plane, will represent transformations(reflections, dilations, rotations, and translations) by graphing in the coordinate plane.Grade 7
Virginia7.9The student will investigate and describe the difference between the experimental probability and theoretical probability of an eventGrade 7
Virginia7.1The student will determine the probability of compound events, using the Fundamental (Basic) Counting PrincipleGrade 7
Virginia7.11.aThe student, given data for a practical situation, will construct and analyze histogramsGrade 7
Virginia7.11.bThe student, given data for a practical situation, will compare and contrast histograms with other types of graphs presenting information from the same data setGrade 7
Virginia7.12The student will represent relationships with tables, graphs, rules, and words.Grade 7
Virginia7.13.aThe student will write verbal expressions as algebraic expressions and sentences as equations and vice versaGrade 7
Virginia7.13.bThe student will evaluate algebraic expressions for given replacement values of the variablesGrade 7
Virginia7.14.aThe student will solve one and two step linear equations in one variableGrade 7
Virginia7.14.bThe student will solve practical problems requiring the solution of one- and two-step linear equationsGrade 7
Virginia7.15.aThe student will solve one step inequalities in one variableGrade 7
Virginia7.15.bThe student will graph solutions to inequalities on the number lineGrade 7
Virginia7.16.aThe student will apply the following properties of operations with real numbers: the commutative and associative properties for addition and multiplicationGrade 7
Virginia7.16.bThe student will solve problems using the distributive propertyGrade 7
Virginia7.16.cThe student will apply the following properties of operations with real numbers: the additive and multiplicative identity propertiesGrade 7
Virginia7.16.dThe student will apply the following properties of operations with real numbers: the additive and multiplicative inverse propertiesGrade 7
Virginia7.16.eThe student will apply the following properties of operations with real numbers: the multiplicative property of zeroGrade 7
Virginia8.1.aThe student will simplify numerical expressions involving positive exponents, using rational numbers, order of operations, and properties of operations with real numbers.Grade 8
Virginia8.1.bThe student will compare and order decimals, fractions, percents, and numbers written in scientific notation.Grade 8
Virginia8.2The student will describe orally and in writing the relationships between the subsets of the real number system.Grade 8
Virginia8.3.aThe student will solve practical problems involving rational numbers, percents, ratios, and proportions.Grade 8
Virginia8.3.bThe student will determine the percent increase or decrease for a given situationGrade 8
Virginia8.4The student will apply the order of operations to evaluate algebraic expressions for given replacement values of the variables.Grade 8
Virginia8.5.aThe student will determine whether a given number is a perfect squareGrade 8
Virginia8.5.bThe student will find the two consecutive whole numbers between which a square root liesGrade 8
Virginia8.6.aThe student will verify by measuring and describe the relationships among vertical angles, adjacent angles, supplementary angles, and complementary anglesGrade 8
Virginia8.6.bThe student will measure angles of less than 360°Grade 8
Virginia8.7.aThe student will investigate and solve practical problems involving volume and surface area of prisms, cylinders, cones, and pyramidsGrade 8
Virginia8.7.bThe student will describe how changing one measured attribute of a figure affects the volume and surface areaGrade 8
Virginia8.8.aThe student will apply transformations to plane figures.Grade 8
Virginia8.8.bThe student will identify applications of transformations.Grade 8
Virginia8.9The student will construct a three-dimensional model, given the top or bottom, side, and front viewsGrade 8
Virginia8.10.aThe student will verify the Pythagorean TheoremGrade 8
Virginia8.10.bThe student will apply the Pythagorean Theorem.Grade 8
Virginia8.11The student will solve practical area and perimeter problems involving composite plane figuresGrade 8
Virginia8.12The student will determine the probability of independent and dependent events with and without replacementGrade 8
Virginia8.13.aThe student will make comparisons, predictions, and inferences, using information displayed in graphsGrade 8
Virginia8.13.bThe student will construct and analyze scatterplots.Grade 8
Virginia8.14The student will make connections between any two representations (tables, graphs, words, and rules) of a given relationship.Grade 8
Virginia8.15.aThe student will solve multistep linear equations in one variable with the variable on one and two sides of the equation.Grade 8
Virginia8.15.bThe student will solve two-step linear inequalities and graph the results on a number lineGrade 8
Virginia8.15.cThe student will identify properties of operations used to solve an equationGrade 8
Virginia8.16The student will graph a linear equation in two variables.Grade 8
Virginia8.17The student will identify the domain, range, independent variable, or dependent variable in a given situationGrade 8
VirginiaA.2.cThe student will perform operations on polynomials, including factoring completely first- and second-degree binomials and trinomials in one or two variables. Graphing calculators will be used as a tool for factoring and for confirming algebraic factorizations.Grade 9
VirginiaA.4.eThe student will solve multistep linear and quadratic equations in two variables, including solving systems of two linear equations in two variables algebraically and graphically.Grade 9
VirginiaA.6.aThe student will graph linear equations and linear inequalities in two variables, including determining the slope of a line when given an equation of the line, the graph of the line, or two points on the line. Slope will be described as rate of change and will be positive, negative, zero, or undefined.Grade 9
VirginiaA.6.bThe student will graph linear equations and linear inequalities in two variables, including writing the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line.Grade 9
VirginiaA.7.aThe student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including determining whether a relation is a functionGrade 9
VirginiaA.7.cThe student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including zeros of a function.Grade 9
VirginiaA.7.dThe student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including x- and y-intercepts.Grade 9
VirginiaA.7.eThe student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including finding the values of a function for elements in its domainGrade 9
VirginiaA.7.fThe student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including making connections between and among multiple representations of functions including concrete, verbal, numeric, graphic, and algebraic.Grade 9
VirginiaA.11The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve real-world problems, using mathematical models. Mathematical models will include linear and quadratic functions.Grade 9
VirginiaG.4.aThe student will construct and justify the constructions of a line segment congruent to a given line segment.Grade 9
VirginiaG.4.fThe student will construct and justify the constructions of an angle congruent to a given angle.Grade 9
VirginiaG.5.cThe student,given information concerning the lengths of sides and/or measures of angles in triangles, will determine whether a triangle exists.Grade 9