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Pennsylvania: Math [1999] Current Standard • 2.1. Numbers, Number Systems and Number Relationships 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 2.1.3.B Use whole numbers and fractions to represent quantities. ...more 2.1.3.C Represent equivalent forms of the same number through the use of concrete objects, drawings, word names and symbols. ...more 2.1.3.D Use drawings, diagrams or models to show the concept of fraction as part of a whole. ...more 2.1.3.E Count, compare and make change using a collection of coins and onedollar bills. ...more 2.1.3.F Apply number patterns (even and odd) and compare values of numbers on the hundred board. ...more 2.1.3.G Use concrete objects to count, order and group. ...more 2.1.3.H Demonstrate an understanding of onetoone correspondence. ...more 2.1.3.I Apply placevalue concepts and numeration to counting, ordering and grouping. ...more 2.1.3.J Estimate, approximate, round or use exact numbers as appropriate. ...more 2.1.3.K Describe the inverse relationship between addition and subtraction. ...more 2.1.3.L Demonstrate knowledge of basic facts in four basic operations. ...more 2.1.5.A Use expanded notation to represent whole numbers or decimals. ...more 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 2.1.5.C Demonstrate that mathematical operations can represent a variety of problem situations. ...more 2.1.5.D Use models to represent fractions and decimals. ...more 2.1.5.E Explain the concepts of prime and composite numbers. ...more 2.1.5.F Use simple concepts of negative numbers (e.g., on a number line, in counting, in temperature). ...more 2.1.5.G Develop and apply number theory concepts (e.g., primes, factors, multiples, composites) to represent numbers in various ways. ...more 2.1.8.A Represent and use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, exponents, scientific notation, square roots). ...more 2.1.8.B Simplify numerical expressions involving exponents, scientific notation and using order of operations. ...more 2.1.8.C Distinguish between and order rational and irrational numbers. ...more 2.1.8.D Apply ratio and proportion to mathematical problem situations involving distance, rate, time and similar triangles. ...more 2.1.8.E Simplify and expand algebraic expressions using exponential forms. ...more 2.1.8.F Use the number line model to demonstrate integers and their applications. ...more 2.1.8.G Use the inverse relationships between addition, subtraction, multiplication, division, exponentiation and root extraction to determine unknown quantities in equations. ...more 2.1.11.A Use operations (e.g., opposite, reciprocal, absolute value, raising to a power, finding roots, finding logarithms). ...more key:
 
 