key:

•   Link to ALL information for a standard
•  Standard has one or more explicit curriculum alignments
•  Standard has one or more CAT-based curriculum alignments
•  Standard has one or more SAT-based curriculum alignments

   2.1.3.A Count using whole numbers (to 10,000) and by 2\'s, 3\'s, 5\'s, 10\'s, 25\'s, and 100\'s.
(Grades K - 3)

   2.1.3.B Use whole numbers and fractions to represent quantities.
(Grades K - 3)

   2.1.3.C Represent equivalent forms of the same number through the use of concrete objects, drawings, word names and symbols.
(Grades K - 3)

   2.1.3.D Use drawings, diagrams or models to show the concept of fraction as part of a whole.
(Grades K - 3)

   2.1.3.E Count, compare and make change using a collection of coins and one-dollar bills.
(Grades K - 3)

   2.1.3.F Apply number patterns (even and odd) and compare values of numbers on the hundred board.
(Grades K - 3)

   2.1.3.G Use concrete objects to count, order and group.
(Grades K - 3)

   2.1.3.H Demonstrate an understanding of one-to-one correspondence.
(Grades K - 3)

   2.1.3.I Apply place-value concepts and numeration to counting, ordering and grouping.
(Grades K - 3)

   2.1.3.J Estimate, approximate, round or use exact numbers as appropriate.
(Grades K - 3)

   2.1.3.K Describe the inverse relationship between addition and subtraction.
(Grades K - 3)

   2.1.3.L Demonstrate knowledge of basic facts in four basic operations.
(Grades K - 3)

   2.1.5.A Use expanded notation to represent whole numbers or decimals.
(Grades 4 - 5)

   2.1.5.B Apply number theory concepts to rename a number quantity (e.g., six, 6, 12/2, 3 x 2, 10 - 4).
(Grades 4 - 5)

   2.1.5.C Demonstrate that mathematical operations can represent a variety of problem situations.
(Grades 4 - 5)

   2.1.5.D Use models to represent fractions and decimals.
(Grades 4 - 5)

   2.1.5.E Explain the concepts of prime and composite numbers.
(Grades 4 - 5)

   2.1.5.F Use simple concepts of negative numbers (e.g., on a number line, in counting, in temperature).
(Grades 4 - 5)

   2.1.5.G Develop and apply number theory concepts (e.g., primes, factors, multiples, composites) to represent numbers in various ways.
(Grades 4 - 5)

   2.1.8.A Represent and use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, exponents, scientific notation, square roots).
(Grades 6 - 8)

   2.1.8.B Simplify numerical expressions involving exponents, scientific notation and using order of operations.
(Grades 6 - 8)

   2.1.8.C Distinguish between and order rational and irrational numbers.
(Grades 6 - 8)

   2.1.8.D Apply ratio and proportion to mathematical problem situations involving distance, rate, time and similar triangles.
(Grades 6 - 8)

   2.1.8.E Simplify and expand algebraic expressions using exponential forms.
(Grades 6 - 8)

   2.1.8.F Use the number line model to demonstrate integers and their applications.
(Grades 6 - 8)

   2.1.8.G Use the inverse relationships between addition, subtraction, multiplication, division, exponentiation and root extraction to determine unknown quantities in equations.
(Grades 6 - 8)

   2.1.11.A Use operations (e.g., opposite, reciprocal, absolute value, raising to a power, finding roots, finding logarithms).
(Grades 9 - 11)