Pennsylvania: Math [1999]

Current Standard

• 2.1. Numbers, Number Systems and Number Relationships * (Grades K - 11)*

Standard's Subset

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. ...more * (Grades K - 3)*

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

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

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

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

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

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

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

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

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

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

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

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

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

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

2.1.5.F Use simple concepts of negative numbers (e.g., on a number line, in counting, in temperature). ...more * (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. ...more * (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). ...more * (Grades 6 - 8)*

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

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

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

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

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

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

** key:**

- 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

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