SOL
Math Curriculum
LEARNING
Alignment to Virginia Department of Education Mathematic
Standards of Learning (SOL)
SOL STANDARDS
To provide students with the
foundation for deep, fundamental
mathematical understanding in
alignment with SOL, the DreamBox
curriculum aligns with these SOL
content strands:
• Number and Number Sense
• Computation and Estimation
• Measurement
• Geometry
• Probability and Statistics
• Patterns, Functions, and Algebra
ABOUT DREAMBOX LEARNING
DreamBox Learning’s Intelligent
Adaptive Learning™ program
accelerates learning by ensuring every
student works continually in their
optimal learning zone and helps all
students achieve math proficiency
in alignment with SOL curriculum
guidelines and standards.
Introduction
The Standards of Learning and Curriculum Framework comprise the mathematics
content that teachers in Virginia are expected to teach and students are expected
to learn.
Virginia’s new mathematics standards are a key component of a broader initiative
to ensure that young Virginians are truly college and career ready when they
graduate from high school. The mathematics standards and corresponding
tests reflect the fact that today’s students require more rigorous mathematical
knowledge and skills to pursue higher education and to compete in a
technologically sophisticated work force.
The Standards of Learning (SOL) for each subject identify the essential academic
content for each grade level and course. The Virginia Board of Education revised the
Mathematics SOL in 2009 to ensure that Virginia graduates will continue to compete
successfully with their peers in other states and countries in the global economy.
DreamBox provides a suite of academic progress reports, including a report that
offers a real-time view of individual student progress against SOL.
Intelligent Adaptive Learning™
© 2013 DreamBox Learning, Inc. All rights reserved. DB068_0813
Alignment with Reporting
2
Partial Alignment with Partial or No Reporting
Grade
Standard
Strand
Focus
Standard of Learning
K
K.1
Number and
Number Sense
Whole Number Concepts
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.
K
K.2.a
Number and
Number Sense
Whole Number Concepts
The student, given a set containing 15 or fewer concrete objects, will tell how many are in the set by counting the
number of objects orally.
K
K.2.b
Number and
Number Sense
Whole Number Concepts
The student, given a set containing 15 or fewer concrete objects, will write the numeral to tell how many are in the
set.
K
K.2.c
Number and
Number Sense
Whole Number Concepts
The student, given a set containing 15 or fewer concrete objects, will select the corresponding numeral from a
given set of numerals
K
K.4.a
Number and
Number Sense
Whole Number Concepts
The student will count forward to 100 and backward from 10.
K
K.4.b
Number and
Number Sense
Whole Number Concepts
The student will identify one more than a number and one less than a number.
K
K.4.c
Number and
Number Sense
Whole Number Concepts
The student will count by fives and tens to 100.
K
K.6
Computation
and Estimation
Whole Number Operations
The student will model adding and subtracting whole numbers, using up to 10 concrete objects.
1
1.1.a
Number and
Number Sense
Place Value and Fraction
Concepts
The student will count from 0 to 100 and write the corresponding numerals.
1
1.1.b
Number and
Number Sense
Place Value and Fraction
Concepts
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.
1
1.2
Number and
Number Sense
Place Value and Fraction
Concepts
The student will count forward by ones, twos, fives, and tens to 100 and backward by ones from 30.
1
1.5
Computation
and Estimation
Whole Number Operations
The student will recall basic addition facts with sums to 18 or less and the corresponding subtraction facts.
1
1.6
Computation
and Estimation
Whole Number Operations
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.
1
1.15
Probability and
Statistics
Data Collection and
Interpretation
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.
1
1.18
Patterns,
Functions, and
Algebra
Patterning and Equivalence
The student will demonstrate an understanding of equality through the use of the equal sign.
2
2.1.a
Number and
Number Sense
Place Value, Number
Patterns, and Fraction
Concepts
The student will read, write, and identify the place value of each digit in a three-digit numeral, using numeration
models.
2
2.1.b
Number and
Number Sense
Place Value, Number
Patterns, and Fraction
Concepts
The student will round two-digit numbers to the nearest ten.
2
2.1.c
Number and
Number Sense
Place Value, Number
Patterns, and Fraction
Concepts
The student will compare two whole numbers between 0 and 999, using symbols (>, <, or =) and words (greater
than, less than, or equal to).
2
2.3.a
Number and
Number Sense
Place Value, Number
Patterns, and Fraction
Concepts
The student will identify the parts of a set and/or region that represent fractions for halves, thirds, fourths, sixths,
eighths, and tenths.
2
2.4.a
Number and
Number Sense
Place Value, Number
Patterns, and Fraction
Concepts
The student will count forward by twos, fives, and tens to 100, starting at various multiples of 2, 5, or 10.
2
2.4.b
Number and
Number Sense
Place Value, Number
Patterns, and Fraction
Concepts
The student will count backward by tens from 100.
2
2.5
Computation
and Estimation
Number Relationships
and Operations
The student will recall addition facts with sums to 20 or less and the corresponding subtraction facts.
2
2.6.a
Computation
and Estimation
Number Relationships
and Operations
The student, given two whole numbers whose sum is 99 or less, will estimate the sum
2
2.6.b
Computation
and Estimation
Number Relationships
and Operations
The student, given two whole numbers whose sum is 99 or less, will find the sum, using various methods of calculation.
2
2.7.a
Computation
and Estimation
Number Relationships
and Operations
The student, given two whole numbers, each of which is 99 or less, will estimate the difference
2
2.7.b
Computation
and Estimation
Number Relationships
and Operations
The student, given two whole numbers, each of which is 99 or less, will find the difference, using various methods
of calculation.
DB068_0813
© 2013 DreamBox Learning, Inc. All rights
Grade
Standard
Strand
2
2.9
Computation
and Estimation
Number Relationships
and Operations
The student will recognize and describe the related facts that represent and describe the inverse relationship
between addition and subtraction.
2
2.21
Patterns,
Functions, and
Algebra
Patterning and Numerical Sentences
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.
2
2.22
Patterns,
Functions, and
Algebra
Patterning and Numerical Sentences
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.
3
3.1.a
Number and
Number Sense
Place Value and Fractions
The student will read and write six-digit numerals and identify the place value and value of each digit.
3
3.1.b
Number and
Number Sense
Place Value and Fractions
The student will round whole numbers, 9,999 or less, to the nearest ten, hundred, and thousand.
3
3.1.c
Number and
Number Sense
Place Value and Fractions
The student will compare two whole numbers between 0 and 9,999, using symbols (>, <, or =) and words (greater
than, less than, or equal to).
3
3.2
Number and
Number Sense
Place Value and Fractions
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.
3
3.3.a
Number and
Number Sense
Place Value and Fractions
The student will name and write fractions (including mixed numbers) represented by a model.
3
3.3.b
Number and
Number Sense
Place Value and Fractions
The student will model fractions (including mixed numbers) and write the fractions’ names.
3
3.3.c
Number and
Number Sense
Place Value and Fractions
The student will compare fractions having like and unlike denominators, using words and symbols (>, <, or =).
3
3.4
Computation
and Estimation
Computation and Fraction Operations
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.
3
3.5
Computation
and Estimation
Computation and Fraction Operations
The student will recall multiplication facts through the twelves table, and the corresponding division facts.
3
3.6
Computation
and Estimation
Computation and Fraction Operations
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.
3
3.7
Computation
and Estimation
Computation and Fraction Operations
The student will add and subtract proper fractions having like denominators of 12 or less.
3
3.10.b
Measurement
U.S. Customary and
Metric Units, Area and
Perimeter, and Time
The student will count the number of square units needed to cover a given surface in order to determine area.
3
3.11.a
Measurement
U.S. Customary and
Metric Units, Area and
Perimeter, and Time
The student will tell time to the nearest minute, using analog and digital clocks.
3
3.11.b
Measurement
U.S. Customary and
Metric Units, Area and
Perimeter, and Time
The student will determine elapsed time in one-hour increments over a 12-hour period.
3
3.15
Geometry
Properties and Congruence Characteristics of
Plane and Solid Figures
The student will identify and draw representations of points, line segments, rays, angles, and lines.
3
3.20.b
Patterns,
Functions, and
Algebra
Patterns and Property
Concepts
The student will investigate the identity and the commutative properties for addition and multiplication.
3
3.20.c
Patterns,
Functions, and
Algebra
Patterns and Property
Concepts
The student will identify examples of the identity and commutative properties for addition and multiplication.
4
4.1.a
Number and
Number Sense
Place Value, Fractions,
and Decimals
The student will identify orally and in writing the place value for each digit in a whole number expressed through
millions.
4
4.2.a
Number and
Number Sense
Place Value, Fractions,
and Decimals
The student will compare and order fractions and mixed numbers.
4
4.2.b
Number and
Number Sense
Place Value, Fractions,
and Decimals
The student will represent equivalent fractions.
4
4.2.c
Number and
Number Sense
Place Value, Fractions,
and Decimals
The student will identify the division statement that represents a fraction.
4
4.3.a
Number and
Number Sense
Place Value, Fractions,
and Decimals
The student will read, write, represent, and identify decimals expressed through thousandths.
4
4.3.b
Number and
Number Sense
Place Value, Fractions,
and Decimals
The student will round decimals to the nearest whole number, tenth, and hundredth
4
4.3.c
Number and
Number Sense
Place Value, Fractions,
and Decimals
The student will compare and order decimals.
4
4.3.d
Number and
Number Sense
Place Value, Fractions,
and Decimals
The student will, given a model, write the decimal and fraction equivalents.
© 2013 DreamBox Learning, Inc. All rights
Focus
DB068_0813
Standard of Learning
3
Alignment with Reporting
4
Focus
Partial Alignment with Partial or No Reporting
Grade
Standard
Strand
Standard of Learning
4
4.4.a
Computation
and Estimation
Factors and Multiples,
and Fraction and Decimal Operations
The student will estimate sums, differences, products, and quotients of whole numbers.
4
4.4.b
Computation
and Estimation
Factors and Multiples,
and Fraction and Decimal Operations
The student will add, subtract, and multiply whole numbers.
4
4.4.c
Computation
and Estimation
Factors and Multiples,
and Fraction and Decimal Operations
The student will divide whole numbers, finding quotients with and without remainders.
4
4.4.d
Computation
and Estimation
Factors and Multiples,
and Fraction and Decimal Operations
The student will solve single-step and multistep addition, subtraction, and multiplication problems with whole
numbers.
4
4.5.a
Computation
and Estimation
Factors and Multiples,
and Fraction and Decimal Operations
The student will determine common multiples and factors, including least common multiple and greatest common
factor of up to two fractions.
4
4.5.b
Computation
and Estimation
Factors and Multiples,
and Fraction and Decimal Operations
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.
4
4.5.c
Computation
and Estimation
Factors and Multiples,
and Fraction and Decimal Operations
The student will add and subtract with decimals.
4
4.9
Measurement
Equivalence within U.S.
Customary and Metric
Systems
The student will determine elapsed time in hours and minutes within a 12-hour period.
4
4.16.a
Patterns,
Functions, and
Algebra
Geometric Patterns,
Equality, and Properties
The student will recognize and demonstrate the meaning of equality in an equation.
4
4.16.b
Patterns,
Functions, and
Algebra
Geometric Patterns,
Equality, and Properties
The student will investigate and describe the associative property for addition and multiplication.
5
5.1
Number and
Number Sense
Prime and Composite
Numbers and Rounding
Decimals
The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredth.
5
5.2.a
Number and
Number Sense
Prime and Composite
Numbers and Rounding
Decimals
The student will recognize and name fractions in their equivalent decimal form and vice versa.
5
5.2.b
Number and
Number Sense
Prime and Composite
Numbers and Rounding
Decimals
The student will compare and order fractions and decimals in a given set from least to greatest and greatest to
least.
5
5.4
Computation
and Estimation
Multistep Applications
and Order of Operations
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.
5
5.5.a
Computation
and Estimation
Multistep Applications
and Order of Operations
The student will find the sum, difference, product, and quotient of two numbers expressed as decimals through
thousandths (divisors with only one nonzero digit).
5
5.5.b
Computation
and Estimation
Multistep Applications
and Order of Operations
The student will create and solve single-step and multistep practical problems involving decimals.
5
5.6
Computation
and Estimation
Multistep Applications
and Order of Operations
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.
5
5.10
Measurement
Perimeter, Area, Volume,
and Equivalence
Measures
The student will determine an amount of elapsed time in hours and minutes within a 24-hour period.
5
5.19
Patterns,
Functions, and
Algebra
Equations and Properties
The student will investigate and recognize the distributive property of multiplication over addition.
6
6.2.a
Number and
Number Sense
Relationships among
Fractions, Decimals, and
Percents
The student will investigate and describe fractions, decimals, and percents as ratios.
6
6.2.b
Number and
Number Sense
Relationships among
Fractions, Decimals, and
Percents
The student will identify a given fraction, decimal, or percent from a representation.
6
6.2.c
Number and
Number Sense
Relationships among
Fractions, Decimals, and
Percents
The student will demonstrate equivalent relationships among fractions, decimals, and percents.
DB068_0813
© 2013 DreamBox Learning, Inc. All rights
Grade
Standard
Strand
Focus
Standard of Learning
6
6.2.d
Number and
Number Sense
Relationships among
Fractions, Decimals, and
Percents
The student will compare and order fractions, decimals, and percents.
6
6.3.a
Number and
Number Sense
Relationships among
Fractions, Decimals, and
Percents
The student will identify and represent integers.
6
6.3.b
Number and
Number Sense
Relationships among
Fractions, Decimals, and
Percents
The student will order and compare integers.
6
6.4
Number and
Number Sense
Relationships among
Fractions, Decimals, and
Percents
The student will demonstrate multiple representations of multiplication and division of fractions.
6
6.6.a
Computation
and Estimation
Applications of Operations with Rational
Numbers
The student will multiply and divide fractions and mixed numbers.
6
6.6.b
Computation
and Estimation
Applications of Operations with Rational
Numbers
The student will estimate solutions and then solve single-step and multistep practical problems involving addition,
subtraction, multiplication, and division of fractions.
6
6.7
Computation
and Estimation
Applications of Operations with Rational
Numbers
The student will solve single-step and multistep practical problems involving addition, subtraction, multiplication,
and division of decimals.
7
7.1.c
Number and
Number Sense
Proportional Reasoning
The student will compare and order fractions, decimals, percents, and numbers written in scientific notation.
7
7.3.a
Computation
and Estimation
Integer Operations and
Proportional Reasoning
The student will model addition, subtraction, multiplication, and division of integers.
7
7.3.b
Computation
and Estimation
Integer Operations and
Proportional Reasoning
The student will add, subtract, multiply, and divide integers.
7
7.4
Computation
and Estimation
Integer Operations and
Proportional Reasoning
The student will solve single-step and multistep practical problems, using proportional reasoning.
7
7.16.b
Patterns,
Functions, and
Algebra
Linear Equations
The student will apply the following properties of operations with real numbers: the distributive property.
8
8.6.a
Measurement
Problem Solving
The student will verify by measuring and describe the relationships among vertical angles, adjacent angles, supplementary angles, and complementary angles.
8
8.6.b
Measurement
Problem Solving
The student will measure angles of less than 360°.
For more information, contact DreamBox at 877.451.7845 ext. 2,
email [email protected] or visit dreambox.com.
© 2013 DreamBox Learning, Inc. All rights
DB068_0813
5