#### Continually displaying student progress

The Virginia Department of Education Mathematics Standards of Learning (SOL) were written to clarify what teachers are expected to teach and 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 | 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 | 1.14 | 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 | 1.2 | The student will count forward by ones, twos, fives, and tens to 100 and backward by ones from 30 | 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 | 1.8 | The student will tell time to the half-hour, using analog and digital clocks | 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.c | The student will compare two whole numbers between 0 and 999, using symbols (>, | 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 | 2.17 | The student will use data from experiments to construct picture graphs, pictographs and bar graphs. | Grade 2 |

Virginia | 2.19 | The student will analyze data displayed in picture graphs, pictographs and bar graphs. | 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 | 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 | 2.4.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 | 2.5 | The student will recall addition facts with sums to 20 or less and the corresponding subtraction facts | Grade 2 |

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

Virginia | 2.7.b | The student will find the difference, using various methods of calculation | 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 (>, | Grade 3 |

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

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

Virginia | 3.14 | 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 | 3.17.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 | 3.19 | 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 | 3.3.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 | 3.4 | 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 | 3.9.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 | 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 | 4.10.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 | 4.12.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 | 4.14 | The student will collect, organize, display, and interpret data from a variety of graphs | 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 | 4.3.a | The student will read, write, represent, and identify decimals expressed through thousandths | Grade 4 |

Virginia | 4.3.c | The student will compare and order decimals | 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.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 | 4.6.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.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 | 5.1 | The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredth | 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 | 5.12.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 | 5.17 | The student will describe the relationship found in a number pattern and express the relationship. | 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 | 5.19 | The student will investigate and recognize the distributive property of multiplication over addition | 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 | 5.4 | 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 | 5.7 | 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.c | The student will identify equivalent measurements within the metric system | Grade 5 |

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 | 6.11.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 | 6.13 | The student will describe and identify properties of quadrilaterals | 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 | 6.2.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 | 6.2 | The student will graph inequalities on a number line | 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 | 6.5 | 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 | 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.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 | 7.12 | 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 | 7.15.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.b | The student will solve problems using the distributive property | 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 | 7.7 | 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 | 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 | 8.10.b | The student will apply the Pythagorean Theorem. | 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 | 8.16 | The student will graph a linear equation in two variables. | Grade 8 |

Virginia | 8.3.a | The student will solve practical problems involving rational numbers, percents, ratios, and proportions. | 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 | 8.6.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 | 8.8.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 | 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 | 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 | 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 |

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