#### 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

Region | Standard | Description | Level |
---|---|---|---|

Virginia | K.1 | The 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 correspondence | Kindergarten |

Virginia | K.2.a | The student will tell how many are in the set by counting the number of objects orally | Kindergarten |

Virginia | K.2.b | The student will write the numeral to tell how many are in the set | Kindergarten |

Virginia | K.2.c | The student, given a set containing 15 or fewer concrete objects, willselect the corresponding numeral from a given set of numerals | Kindergarten |

Virginia | K.3 | The 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 object | Kindergarten |

Virginia | K.4.a | The student will count forward to 100 and backward from 10 | Kindergarten |

Virginia | K.4.b | The student will identify one more than a number and one less than a number | Kindergarten |

Virginia | K.4.c | The student will count by fives and tens to 100 | Kindergarten |

Virginia | K.5 | The student will identify the parts of a set and/or region that represent fractions for halves and fourths | Kindergarten |

Virginia | K.6 | The student will model adding and subtracting whole numbers, using up to 10 concrete objects | Kindergarten |

Virginia | K.7 | The 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 less | Kindergarten |

Virginia | K.8 | The 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 |

Virginia | K.9 | The student will tell time to the hour, using analog and digital clocks | Kindergarten |

Virginia | K.10 | The 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 block | Kindergarten |

Virginia | K.11.a | The student willidentify, describe, and trace plane geometric figures (circle, triangle, square, and rectangle) | Kindergarten |

Virginia | K.11.b | The student willcompare the size (larger, smaller) and shape of plane geometric figures (circle, triangle, square, and rectangle) | Kindergarten |

Virginia | K.12 | The 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 space | Kindergarten |

Virginia | K.13 | The student will gather data by counting and tallying | Kindergarten |

Virginia | K.14 | The student will display gathered data in object graphs, picture graphs, and tables, and will answer questions related to the data | Kindergarten |

Virginia | K.15 | The student will sort and classify objects according to attributes | Kindergarten |

Virginia | K.16 | The student will identify, describe, and extend repeating patterns | Kindergarten |

Virginia | 1.1.a | The student will count from 0 to 100 and write the corresponding numerals | Grade 1 |

Virginia | 1.1.b | The 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 value | Grade 1 |

Virginia | 1.2 | The student will count forward by ones, twos, fives, and tens to 100 and backward by ones from 30 | Grade 1 |

Virginia | 1.3 | The student will identify the parts of a set and/or region that represent fractions for halves, thirds, and fourths and write the fractions | Grade 1 |

Virginia | 1.4.a | The 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 |

Virginia | 1.4.b | The student, given a familiar problem situation involving magnitude, will explain the reasonableness of the choice of order of magnitude | Grade 1 |

Virginia | 1.5 | The student will recall basic addition facts with sums to 18 or less and the corresponding subtraction facts | Grade 1 |

Virginia | 1.6 | The 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 facts | Grade 1 |

Virginia | 1.7.a | The student will identify the number of pennies equivalent to a nickel, a dime, and a quarter | Grade 1 |

Virginia | 1.7.b | The student will determine the value of a collection of pennies, nickels, and dimes whose total value is 100 cents or less | Grade 1 |

Virginia | 1.8 | The student will tell time to the half-hour, using analog and digital clocks | Grade 1 |

Virginia | 1.9 | The student will use nonstandard units to measure length, weight/mass, and volume | Grade 1 |

Virginia | 1.10.a | The student will compare, using the concepts of more, less, and equivalent, the volumes of two given containers | Grade 1 |

Virginia | 1.10.b | The student will compare, using the concepts of more, less, and equivalent, the weight/mass of two objects, using a balance scale | Grade 1 |

Virginia | 1.11 | The student will use calendar language appropriately (e.g., names of the months, today, yesterday, next week, last week) | Grade 1 |

Virginia | 1.12 | The student will identify and trace, describe, and sort plane geometric figures (triangle, square, rectangle, and circle) according to number of sides, vertices, and right angles | Grade 1 |

Virginia | 1.13 | The student will construct, model, and describe objects in the environment as geometric shapes (triangle, rectangle, square, and circle) and explain the reasonableness of each choice | Grade 1 |

Virginia | 1.14 | The student will investigate, identify and describe various forms of data collection using tables, picture graphs and object graphs. | Grade 1 |

Virginia | 1.15 | The student will interpret information displayed in a picture or object graph, using the vocabulary more, less, fewer, greater than, less than, and equal to | Grade 1 |

Virginia | 1.16 | The student will sort and classify concrete objects according to one or more attributes, including color, size, shape, and thickness | Grade 1 |

Virginia | 1.17 | The student will recognize, describe, extend, and create a wide variety of growing and repeating patterns | Grade 1 |

Virginia | 1.18 | The student will demonstrate an understanding of equality through the use of the equal sign | Grade 1 |

Virginia | 2.1.a | The student will read, write, and identify the place value of each digit in a three-digit numeral, using numeration models | Grade 2 |

Virginia | 2.1.b | The student will round two-digit numbers to the nearest ten | Grade 2 |

Virginia | 2.1.c | The student will compare two whole numbers between 0 and 999, using symbols (>, <, or =) and words (greater than, less than, or equal to) | Grade 2 |

Virginia | 2.2.a | The student will identify the ordinal positions first through twentieth, using an ordered set of objects | Grade 2 |

Virginia | 2.2.b | The student will write the ordinal numbers | Grade 2 |

Virginia | 2.3.a | The student will identify the parts of a set and/or region that represent fractions for halves, thirds, fourths, sixths, eighths, and tenths | Grade 2 |

Virginia | 2.3.b | The student will write the fractions | Grade 2 |

Virginia | 2.3.c | The student will compare the unit fractions for halves, thirds, fourths, sixths, eighths, and tenths | Grade 2 |

Virginia | 2.4.a | The student will count forward by twos, fives, and tens to 100, starting at various multiples of 2, 5, or 10 | Grade 2 |

Virginia | 2.4.b | The student will count backward by tens from 100 | Grade 2 |

Virginia | 2.4.c | The student will recognize even and odd numbers | Grade 2 |

Virginia | 2.5 | The student will recall addition facts with sums to 20 or less and the corresponding subtraction facts | Grade 2 |

Virginia | 2.6.a | The student, given two whole numbers whose sum is 99 or less, will estimate the sum | Grade 2 |

Virginia | 2.6.b | The student will find the sum, using various methods of calculation | Grade 2 |

Virginia | 2.7.a | The student, given two whole numbers, each of which is 99 or less, will estimate the difference | Grade 2 |

Virginia | 2.7.b | The student will find the difference, using various methods of calculation | Grade 2 |

Virginia | 2.8 | The student will create and solve one- and two-step addition and subtraction problems, using data from simple tables, picture graphs, and bar graphs | Grade 2 |

Virginia | 2.9 | The student will recognize and describe the related facts that represent and describe the inverse relationship between addition and subtraction | Grade 2 |

Virginia | 2.10.a | The student will count and compare a collection of pennies, nickels, dimes, and quarters whose total value is $2.00 or less | Grade 2 |

Virginia | 2.10.b | The student will correctly use the cent symbol (¢), dollar symbol ($), and decimal point (.) | Grade 2 |

Virginia | 2.11.a | The student will estimate and measure length to the nearest centimeter and inch | Grade 2 |

Virginia | 2.11.b | The student will estimate and measure weight/mass of objects in pounds/ounces and kilograms/grams, using a scale | Grade 2 |

Virginia | 2.11.c | The student will estimate and measure liquid volume in cups, pints, quarts, gallons, and liters | Grade 2 |

Virginia | 2.12 | The student will tell and write time to the nearest five minutes, using analog and digital clocks | Grade 2 |

Virginia | 2.13.a | The student will determine past and future days of the week | Grade 2 |

Virginia | 2.13.b | The student will identify specific days and dates on a given calendar | Grade 2 |

Virginia | 2.14 | The student will read the temperature on a Celsius and/or Fahrenheit thermometer to the nearest 10 degrees | Grade 2 |

Virginia | 2.15.a | The student will draw a line of symmetry in a figure | Grade 2 |

Virginia | 2.15.b | The student will identify and create figures with at least one line of symmetry | Grade 2 |

Virginia | 2.16 | The student will identify, describe, compare, and contrast plane and solid geometric figures (circle/sphere, square/cube, and rectangle/rectangular prism) | Grade 2 |

Virginia | 2.17 | The student will use data from experiments to construct picture graphs, pictographs and bar graphs. | Grade 2 |

Virginia | 2.18 | The student will use data from experiments to predict outcomes when the experiment is repeated | Grade 2 |

Virginia | 2.19 | The student will analyze data displayed in picture graphs, pictographs and bar graphs. | Grade 2 |

Virginia | 2.2 | The student will identify, create, and extend a wide variety of patterns | Grade 2 |

Virginia | 2.21 | The 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 sentences | Grade 2 |

Virginia | 2.22 | The 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 equivalent | Grade 2 |

Virginia | 3.1.a | The student will read and write six-digit numerals and identify the place value and value of each digit | Grade 3 |

Virginia | 3.1.b | The student will round whole numbers, 9,999 or less, to the nearest ten, hundred, and thousand | Grade 3 |

Virginia | 3.1.c | The 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 |

Virginia | 3.2 | The 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 problems | Grade 3 |

Virginia | 3.3.a | The student will name and write fractions (including mixed numbers) represented by a model | Grade 3 |

Virginia | 3.3.b | The student will model fractions (including mixed numbers) and write the fraction names | Grade 3 |

Virginia | 3.3.c | The student will compare fractions having like and unlike denominators, using words and symbols (>, <, or =) | Grade 3 |

Virginia | 3.4 | The 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 regrouping | Grade 3 |

Virginia | 3.5 | The student will recall multiplication facts through the twelves table, and the corresponding division facts | Grade 3 |

Virginia | 3.6 | The 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 less | Grade 3 |

Virginia | 3.7 | The student will add and subtract proper fractions having like denominators of 12 or less | Grade 3 |

Virginia | 3.8 | The 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 change | Grade 3 |

Virginia | 3.9.b | The student will estimate and use U.S. Customary and metric units to measure liquid volume in cups, pints, quarts, gallons, and liters | Grade 3 |

Virginia | 3.9.c | The student will estimate and use U.S. Customary and metric units to measure weight/mass in ounces, pounds, grams, and kilograms | Grade 3 |

Virginia | 3.9.d | The student will estimate and use U.S. Customary and metric units to measure area and perimeter | Grade 3 |

Virginia | 3.10.b | The student will count the number of square units needed to cover a given surface in order to determine area | Grade 3 |

Virginia | 3.11.a | The student will tell time to the nearest minute, using analog and digital clocks | Grade 3 |

Virginia | 3.9.a | The 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 meter | Grade 3 |

Virginia | 3.11.b | The student will determine elapsed time in one-hour increments over a 12-hour period | Grade 3 |

Virginia | 3.12 | The student will identify equivalent periods of time, including relationships among days, months, and years, as well as minutes and hours | Grade 3 |

Virginia | 3.13 | The 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 used | Grade 3 |

Virginia | 3.14 | The 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 models | Grade 3 |

Virginia | 3.15 | The student will identify and draw representations of points, line segments, rays, angles, and lines | Grade 3 |

Virginia | 3.16 | The student will identify and describe congruent and noncongruent plane figures | Grade 3 |

Virginia | 3.17.a | The student will collect and organize data, using observations, measurements, surveys, or experiments | Grade 3 |

Virginia | 3.17.b | The student will construct a line plot, a picture graph, or a bar graph to represent the data | Grade 3 |

Virginia | 3.17.c | The student will read and interpret the data represented in line plots, bar graphs, and picture graphs and write a sentence analyzing the data | Grade 3 |

Virginia | 3.18 | The student will investigate and describe the concept of probability as chance and list possible results of a given situation | Grade 3 |

Virginia | 3.19 | The student will recognize and describe a variety of patterns formed using numbers, tables, and pictures, and extend the patterns, using the same or different forms | Grade 3 |

Virginia | 3.20.a | The student will investigate the identity and the commutative properties for addition and multiplication | Grade 3 |

Virginia | 3.20.b | The student will identify examples of the identity and commutative properties for addition and multiplication | Grade 3 |

Virginia | 4.1.a | The student will identify orally and in writing the place value for each digit in a whole number expressed through millions | Grade 4 |

Virginia | 4.1.b | The student will compare two whole numbers expressed through millions, using symbols (>, <, or = ) | Grade 4 |

Virginia | 4.1.c | The student will round whole numbers expressed through millions to the nearest thousand, ten thousand, and hundred thousand | Grade 4 |

Virginia | 4.2.a | The student will compare and order fractions and mixed numbers | Grade 4 |

Virginia | 4.2.b | The student will represent equivalent fractions | Grade 4 |

Virginia | 4.2.c | The student will identify the division statement that represents a fraction | Grade 4 |

Virginia | 4.3.a | The student will read, write, represent, and identify decimals expressed through thousandths | Grade 4 |

Virginia | 4.3.b | The student will round decimals to the nearest whole number, tenth, and hundredth | Grade 4 |

Virginia | 4.3.c | The student will compare and order decimals | Grade 4 |

Virginia | 4.3.d | The student will given a model, write the decimal and fraction equivalents | Grade 4 |

Virginia | 4.4.a | The student will estimate sums, differences, products, and quotients of whole numbers | Grade 4 |

Virginia | 4.4.b | The student will add, subtract, and multiply whole numbers | Grade 4 |

Virginia | 4.4.c | The student will divide whole numbers, finding quotients with and without remainders | Grade 4 |

Virginia | 4.4.d | The student will solve single-step and multistep addition, subtraction, and multiplication problems with whole numbers | Grade 4 |

Virginia | 4.5.a | The student will determine common multiples and factors, including least common multiple and greatest common factor of up to two fractions | Grade 4 |

Virginia | 4.5.b | The 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 factors | Grade 4 |

Virginia | 4.5.c | The student will add and subtract with decimals | Grade 4 |

Virginia | 4.5.d | The student will solve single-step and multistep practical problems involving addition and subtraction with fractions and with decimals | Grade 4 |

Virginia | 4.6.a | The student will estimate and measure weight/mass and describe the results in U.S. Customary and metric units as appropriate | Grade 4 |

Virginia | 4.6.b | The 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 |

Virginia | 4.7.a | The student will estimate and measure length, and describe the result in both metric and U.S. Customary units. | Grade 4 |

Virginia | 4.7.b | The 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 |

Virginia | 4.8.a | The student will estimate and measure liquid volume and describe the results in U.S. Customary units | Grade 4 |

Virginia | 4.8.b | The student will identify equivalent measurements between units within the U.S. Customary system (cups, pints, quarts, and gallons) | Grade 4 |

Virginia | 4.9 | The student will determine elapsed time in hours and minutes within a 12-hour period. | Grade 4 |

Virginia | 4.10.a | The student will identify and describe representations of points, lines, line segments, rays, and angles, including endpoints and vertices | Grade 4 |

Virginia | 4.10.b | The student will identify representations of lines that illustrate intersection, parallelism, and perpendicularity | Grade 4 |

Virginia | 4.11.a | The student will investigate congruence of plane figures after geometric transformations, such as reflection, translation, and rotation, using mirrors, paper folding, and tracing | Grade 4 |

Virginia | 4.11.b | The student will recognize the images of figures resulting from geometric transformations, such as translation, reflection, and rotation | Grade 4 |

Virginia | 4.12.a | The student will define polygon | Grade 4 |

Virginia | 4.12.b | The student will identify polygons with 10 or fewer sides | Grade 4 |

Virginia | 4.13.a | The student will predict the likelihood of an outcome of a simple event | Grade 4 |

Virginia | 4.13.b | The student will represent probability as a number between 0 and 1, inclusive | Grade 4 |

Virginia | 4.14 | The student will collect, organize, display, and interpret data from a variety of graphs | Grade 4 |

Virginia | 4.15 | The student will recognize, create, and extend numerical and geometric patterns | Grade 4 |

Virginia | 4.16.a | The student will recognize and demonstrate the meaning of equality in an equation | Grade 4 |

Virginia | 4.16.b | The student will investigate and describe the associative property for addition and multiplication | Grade 4 |

Virginia | 5.1 | The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredth | Grade 5 |

Virginia | 5.2.a | The student will recognize and name fractions in their equivalent decimal form and vice versa | Grade 5 |

Virginia | 5.2.b | The student will compare and order fractions and decimals in a given set from least to greatest and greatest to least | Grade 5 |

Virginia | 5.3.a | The student will identify and describe the characteristics of prime and composite numbers | Grade 5 |

Virginia | 5.3.b | The student will identify and describe the characteristics of even and odd numbers | Grade 5 |

Virginia | 5.4 | The student will create and solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division with and without remainders of whole numbers | Grade 5 |

Virginia | 5.5.a | The 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 |

Virginia | 5.5.b | The student will create and solve single-step and multistep practical problems involving decimals | Grade 5 |

Virginia | 5.6 | The student will solve single-step and multistep practical problems involving addition and subtraction with fractions and mixed numbers and express answers in simplest form | Grade 5 |

Virginia | 5.7 | The student will evaluate whole number numerical expressions, using the order of operations limited to parentheses, addition, subtraction, multiplication, and division. | Grade 5 |

Virginia | 5.8.a | The student will find perimeter, area, and volume in standard units of measure | Grade 5 |

Virginia | 5.8.b | The 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 situation | Grade 5 |

Virginia | 5.8.c | The student will identify equivalent measurements within the metric system | Grade 5 |

Virginia | 5.8.d | The student will estimate and then measure to solve problems, using U.S. Customary and metric units | Grade 5 |

Virginia | 5.8.e | The student will choose an appropriate unit of measure for a given situation involving measurement using U.S. Customary and metric units | Grade 5 |

Virginia | 5.9 | The student will identify and describe the diameter, radius, chord, and circumference of a circle | Grade 5 |

Virginia | 5.1 | The student will determine an amount of elapsed time in hours and minutes within a 24-hour period. | Grade 5 |

Virginia | 5.11 | The student will measure right, acute, obtuse, and straight angles | Grade 5 |

Virginia | 5.12.a | The student will classify angles as right, acute, obtuse, or straight | Grade 5 |

Virginia | 5.12.b | The student will classify triangles as right, acute, obtuse, equilateral, scalene, or isosceles | Grade 5 |

Virginia | 5.13.a | The student, using plane figures (square, rectangle, triangle, parallelogram, rhombus, and trapezoid), will develop definitions of these plane figures | Grade 5 |

Virginia | 5.13.b | The student, using plane figures (square, rectangle, triangle, parallelogram, rhombus, and trapezoid), will investigate and describe the results of combining and subdividing plane figures | Grade 5 |

Virginia | 5.14 | The student will make predictions and determine the probability of an outcome by constructing a sample space | Grade 5 |

Virginia | 5.15 | The student, given a problem situation, will collect, organize, and interpret data in a variety of forms, using stem-and-leaf plots and line graphs | Grade 5 |

Virginia | 5.16.a | The student will describe mean, median, and mode as measures of center | Grade 5 |

Virginia | 5.16.b | The student will describe mean as fair share | Grade 5 |

Virginia | 5.16.c | The student will find the mean, median, mode, and range of a set of data | Grade 5 |

Virginia | 5.16.d | The student will describe the range of a set of data as a measure of variation | Grade 5 |

Virginia | 5.17 | The student will describe the relationship found in a number pattern and express the relationship. | Grade 5 |

Virginia | 5.18.a | The student will investigate and describe the concept of variable | Grade 5 |

Virginia | 5.18.b | The student will write an open sentence to represent a given mathematical relationship, using a variable | Grade 5 |

Virginia | 5.18.c | The student will model one-step linear equations in one variable, using addition and subtraction. | Grade 5 |

Virginia | 5.18.d | The student will create a problem situation based on a given open sentence, using a single variable | Grade 5 |

Virginia | 5.19 | The student will investigate and recognize the distributive property of multiplication over addition | Grade 5 |

Virginia | 6.2.a | The student will investigate and describe fractions, decimals, and percents as ratios | Grade 6 |

Virginia | 6.2.b | The student will identify a given fraction, decimal, or percent from a representation | Grade 6 |

Virginia | 6.2.c | The student will demonstrate equivalent relationships among fractions, decimals, and percents | Grade 6 |

Virginia | 6.2.d | The student will compare and order fractions, decimals, and percents | Grade 6 |

Virginia | 6.3.a | The student will identify and represent integers | Grade 6 |

Virginia | 6.3.b | The student will order and compare integers | Grade 6 |

Virginia | 6.3.c | The student will identify and describe absolute value of integers. | Grade 6 |

Virginia | 6.4 | The student will demonstrate multiple representations of multiplication and division of fractions | Grade 6 |

Virginia | 6.1.a | The 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 |

Virginia | 6.5 | The student will investigate and describe concepts of positive exponents and perfect squares. | Grade 6 |

Virginia | 6.6.a | The student will multiply and divide fractions and mixed numbers | Grade 6 |

Virginia | 6.6.b | The student will estimate solutions and then solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions | Grade 6 |

Virginia | 6.7 | The student will solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of decimals | Grade 6 |

Virginia | 6.8 | The student will evaluate whole number numerical expressions, using the order of operations. | Grade 6 |

Virginia | 6.9 | The student will make ballpark comparisons between measurements in the U.S. Customary System of measurement and measurements in the metric system | Grade 6 |

Virginia | 6.10.a | The student will define π (pi) as the ratio of the circumference of a circle to its diameter | Grade 6 |

Virginia | 6.10.b | The student will solve practical problems involving circumference and area of a circle, given the diameter or radius | Grade 6 |

Virginia | 6.10.c | The student will solve practical problems involving area and perimeter | Grade 6 |

Virginia | 6.10.d | The student will describe and determine the volume and surface area of a rectangular prism | Grade 6 |

Virginia | 6.11.a | The student will identify the coordinates of a point in a coordinate plane. | Grade 6 |

Virginia | 6.11.b | The student will graph ordered pairs in a coordinate plane. | Grade 6 |

Virginia | 6.12 | The student will determine congruence of segments, angles, and polygons | Grade 6 |

Virginia | 6.13 | The student will describe and identify properties of quadrilaterals | Grade 6 |

Virginia | 6.14.a | The student, given a problem situation, will construct circle graphs | Grade 6 |

Virginia | 6.14.b | The student, given a problem situation, will draw conclusions and make predictions, using circle graphs | Grade 6 |

Virginia | 6.14.c | The student, given a problem situation, will compare and contrast graphs that present information from the same data set | Grade 6 |

Virginia | 6.15.a | The student will describe mean as balance point | Grade 6 |

Virginia | 6.15.b | The student will decide which measure of center is appropriate for a given purpose | Grade 6 |

Virginia | 6.16.a | The student will compare and contrast dependent and independent events | Grade 6 |

Virginia | 6.16.b | The student will determine probabilities for dependent and independent events | Grade 6 |

Virginia | 6.17 | The student will identify and extend geometric and arithmetic sequences | Grade 6 |

Virginia | 6.18 | The student will solve one step linear equations in one variable involving whole number coefficients and positive rational solutions. | Grade 6 |

Virginia | 6.19.a | The student will investigate and recognize the identity properties for addition and multiplication | Grade 6 |

Virginia | 6.19.b | The student will investigate and recognize the multiplicative property of zero | Grade 6 |

Virginia | 6.19.c | The student will investigate and recognize the inverse property for multiplication | Grade 6 |

Virginia | 6.2 | The student will graph inequalities on a number line | Grade 6 |

Virginia | 7.1.a | The student will investigate and describe the concept of negative exponents for powers of ten | Grade 7 |

Virginia | 7.1.b | The student will determine scientific notation for numbers greater than zero | Grade 7 |

Virginia | 7.1.c | The student will compare and order fractions, decimals, percents, and numbers written in scientific notation | Grade 7 |

Virginia | 7.1.d | The student will determine square roots | Grade 7 |

Virginia | 7.1.e | The student will identify and describe absolute value for rational numbers | Grade 7 |

Virginia | 7.2 | The student will describe and represent arithmetic and geometric sequences, using variable expressions | Grade 7 |

Virginia | 7.3.a | The student will model addition, subtraction, multiplication, and division of integers | Grade 7 |

Virginia | 7.3.b | The student will add, subtract, multiply, and divide integers | Grade 7 |

Virginia | 7.4 | The student will solve single-step and multistep practical problems, using proportional reasoning | Grade 7 |

Virginia | 7.5.a | The student will describe volume and surface area of cylinders | Grade 7 |

Virginia | 7.5.b | The student will solve practical problems involving the volume and surface area of rectangular prisms and cylinders | Grade 7 |

Virginia | 7.5.c | The student will describe how changing one measured attribute of a rectangular prism affects its volume and surface area | Grade 7 |

Virginia | 7.6 | The student will determine whether plane figures—quadrilaterals and triangles—are similar and write proportions to express the relationships between corresponding sides of similar figures | Grade 7 |

Virginia | 7.7 | The student will compare and contrast the following quadrilaterals based on properties: parallelogram, rectangle, square, rhombus, and trapezoid. | Grade 7 |

Virginia | 7.8 | The student, given a polygon in the coordinate plane, will represent transformations(reflections, dilations, rotations, and translations) by graphing in the coordinate plane. | Grade 7 |

Virginia | 7.9 | The student will investigate and describe the difference between the experimental probability and theoretical probability of an event | Grade 7 |

Virginia | 7.1 | The student will determine the probability of compound events, using the Fundamental (Basic) Counting Principle | Grade 7 |

Virginia | 7.11.a | The student, given data for a practical situation, will construct and analyze histograms | Grade 7 |

Virginia | 7.11.b | The student, given data for a practical situation, will compare and contrast histograms with other types of graphs presenting information from the same data set | Grade 7 |

Virginia | 7.12 | The student will represent relationships with tables, graphs, rules, and words. | Grade 7 |

Virginia | 7.13.a | The student will write verbal expressions as algebraic expressions and sentences as equations and vice versa | Grade 7 |

Virginia | 7.13.b | The student will evaluate algebraic expressions for given replacement values of the variables | Grade 7 |

Virginia | 7.14.a | The student will solve one and two step linear equations in one variable | Grade 7 |

Virginia | 7.14.b | The student will solve practical problems requiring the solution of one- and two-step linear equations | Grade 7 |

Virginia | 7.15.a | The student will solve one step inequalities in one variable | Grade 7 |

Virginia | 7.15.b | The student will graph solutions to inequalities on the number line | Grade 7 |

Virginia | 7.16.a | The student will apply the following properties of operations with real numbers: the commutative and associative properties for addition and multiplication | Grade 7 |

Virginia | 7.16.b | The student will solve problems using the distributive property | Grade 7 |

Virginia | 7.16.c | The student will apply the following properties of operations with real numbers: the additive and multiplicative identity properties | Grade 7 |

Virginia | 7.16.d | The student will apply the following properties of operations with real numbers: the additive and multiplicative inverse properties | Grade 7 |

Virginia | 7.16.e | The student will apply the following properties of operations with real numbers: the multiplicative property of zero | Grade 7 |

Virginia | 8.1.a | The student will simplify numerical expressions involving positive exponents, using rational numbers, order of operations, and properties of operations with real numbers. | Grade 8 |

Virginia | 8.1.b | The student will compare and order decimals, fractions, percents, and numbers written in scientific notation. | Grade 8 |

Virginia | 8.2 | The student will describe orally and in writing the relationships between the subsets of the real number system. | Grade 8 |

Virginia | 8.3.a | The student will solve practical problems involving rational numbers, percents, ratios, and proportions. | Grade 8 |

Virginia | 8.3.b | The student will determine the percent increase or decrease for a given situation | Grade 8 |

Virginia | 8.4 | The student will apply the order of operations to evaluate algebraic expressions for given replacement values of the variables. | Grade 8 |

Virginia | 8.5.a | The student will determine whether a given number is a perfect square | Grade 8 |

Virginia | 8.5.b | The student will find the two consecutive whole numbers between which a square root lies | Grade 8 |

Virginia | 8.6.a | The student will verify by measuring and describe the relationships among vertical angles, adjacent angles, supplementary angles, and complementary angles | Grade 8 |

Virginia | 8.6.b | The student will measure angles of less than 360° | Grade 8 |

Virginia | 8.7.a | The student will investigate and solve practical problems involving volume and surface area of prisms, cylinders, cones, and pyramids | Grade 8 |

Virginia | 8.7.b | The student will describe how changing one measured attribute of a figure affects the volume and surface area | Grade 8 |

Virginia | 8.8.a | The student will apply transformations to plane figures. | Grade 8 |

Virginia | 8.8.b | The student will identify applications of transformations. | Grade 8 |

Virginia | 8.9 | The student will construct a three-dimensional model, given the top or bottom, side, and front views | Grade 8 |

Virginia | 8.10.a | The student will verify the Pythagorean Theorem | Grade 8 |

Virginia | 8.10.b | The student will apply the Pythagorean Theorem. | Grade 8 |

Virginia | 8.11 | The student will solve practical area and perimeter problems involving composite plane figures | Grade 8 |

Virginia | 8.12 | The student will determine the probability of independent and dependent events with and without replacement | Grade 8 |

Virginia | 8.13.a | The student will make comparisons, predictions, and inferences, using information displayed in graphs | Grade 8 |

Virginia | 8.13.b | The student will construct and analyze scatterplots. | Grade 8 |

Virginia | 8.14 | The student will make connections between any two representations (tables, graphs, words, and rules) of a given relationship. | Grade 8 |

Virginia | 8.15.a | The student will solve multistep linear equations in one variable with the variable on one and two sides of the equation. | Grade 8 |

Virginia | 8.15.b | The student will solve two-step linear inequalities and graph the results on a number line | Grade 8 |

Virginia | 8.15.c | The student will identify properties of operations used to solve an equation | Grade 8 |

Virginia | 8.16 | The student will graph a linear equation in two variables. | Grade 8 |

Virginia | 8.17 | The student will identify the domain, range, independent variable, or dependent variable in a given situation | Grade 8 |

Virginia | A.2.c | The 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 |

Virginia | A.4.e | The 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 |

Virginia | A.6.a | The 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 |

Virginia | A.6.b | The 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 |

Virginia | A.7.a | The student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including determining whether a relation is a function | Grade 9 |

Virginia | A.7.c | The student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including zeros of a function. | Grade 9 |

Virginia | A.7.d | The student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including x- and y-intercepts. | Grade 9 |

Virginia | A.7.e | The 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 domain | Grade 9 |

Virginia | A.7.f | The 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 |

Virginia | A.11 | The 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 |

Virginia | G.4.a | The student will construct and justify the constructions of a line segment congruent to a given line segment. | Grade 9 |

Virginia | G.4.f | The student will construct and justify the constructions of an angle congruent to a given angle. | Grade 9 |

Virginia | G.5.c | The student,given information concerning the lengths of sides and/or measures of angles in triangles, will determine whether a triangle exists. | Grade 9 |