Algebra I Standards

Number & Operations

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Number & Operations
Mathematics Curriculum Standards 3102 - Algebra I	Internet Resources
Checks for Understanding (Formative/Summative Assessment) 2.1 | 2.2 | 2.3 | 2.4 | 2.5 | 2.6 | 2.7 | 2.8
Recognize and use like terms to simplify expressions. 3102.2.1	Simplify Terms Under a Radical - a square root calculator Simplifying Radical Expressions - Intermediate Algebra tutorial Simplifying Radicals - basic information about perfect square numbers [This expired page is brought to you by the Internet archive, the Wayback Machine.] Simplifying Radicals - explanation and practice problems
Operate with and simplify radicals (index 2, 3, n) and radical expressions including rational numbers and variables in the radicand. 3102.2.3	Identify Perfect Squares - practice exercises at Math Pinball Simplifying Radical Expressions - Intermediate Algebra tutorial Simplifying Radicals - basic information about perfect square numbers Simplifying Radicals - explanation and practice problems
Operate efficiently with both rational and irrational numbers. 3102.2.4	Proof that all square roots of primes are irrational Rational and Irrational number review
Perform operations with numbers in scientific notation (multiply, divide, powers). 3102.2.5	Converting Numbers to Scientific Notation - AAA Math lesson and practice problems & Scientific Notation - interactive practice
Use appropriate technologies to apply scientific notation to real-world problems. 3102.2.6	Calculating with Scientific Notation - explanation, several examples and links to a large number of worksheets at the bottom of the page Converting Numbers to Scientific Notation - AAA Math lesson and practice problems and Converting Standard Numbers to Scientific Notation - instruction and review, practice, and a quiz and Converting from Scientific Notation to Standard Numbers - instruction and review, practice, and a quiz and Comparing Scientific and Standard Notation Numbers - instruction and review, practice, and a quiz and Converting Decimal Numbers to Scientific Notation - instruction and review, practice, and a quiz and Converting from Scientific Notation to Decimal Numbers - instruction and review, practice, and a quiz and Converting Fractions to Scientific Notation - instruction and review, practice, and a quiz and Cube of a Number - AAA Math lesson and practice problems and Division Using Scientific Notation - - two examples and seven practice problems Evaluating Exponents of Negative Numbers - AAA Math lesson and practice problems and Exponential Expressions - find the exponential expression that is equivalent to the number given Exponent Practice - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again. Exponents - Unit 3 from Ms. Glosser's Math Goodies Interactive Algebra Review on Integer Exponents Multiplication and Division Problems Using Scientific Notation - two examples and seven practice problems Multiplication in Scientific Notation - four examples and seven practice problems Practice with Scientific Notation - fifteen practice problems - pencil and paper may be needed - (answers provided) [This expired page is brought to you by the Internet archive, the Wayback Machine.] Scientific Notation - explanation from New York University's MathMol page Scientific Notation - Why your wrist (or keyboard) will thank you for not writing all those zeros. Scientific Notation - interactive practice Scientific Notation Problem Generator - either the scientific notation or standard notation representation of a number will be shown. Put the corresponding value(s) in the empty cell(s) and press "Check Answer". Scientific Notation Quiz - ten multiple choice questions Simplifying - Expressions that have had their like terms combined. Match each expression on the left with an expression on the right. Type the letter of the correct expression in the box. Symbols of Inclusion - simplify each expression and choose the correct comparison symbol
Identify the subsets in the real number system and understand their relationships. 3102.2.7	Number Family Interactive - Take the ten question quiz and decide whether the numbers are integers, rational, or irrational numbers. Real Number Practice - practice the subsets of the real number system with six multiple-choice questions Real Number System - this five page .pdf file includes a twenty question quiz to print, answers are on a separate page Real Numbers - flashcards or a concentration game from Quia Real Numbers Interactive - ten questions - tell whether the numbers are rational or irrational Real Numbers Lesson - short explanation with a link to practice problems Subsets of the Real Number System - an interactive quiz from Quia Various Subsets of Real Numbers - six question multiple-choice quiz
Use multiple strategies to approximate the value of an irrational number including irrational square roots and including location on the real number line. 3102.2.8	Proof that all square roots of primes are irrational
State Performance Indicators 2.1 | 2.2 | 2.3
Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical expressions including radicands involving rational numbers and algebraic expressions. SPI 3102.2.1	Simplify Terms Under a Radical - a square root calculator Simplifying Radical Expressions - Intermediate Algebra tutorial Simplifying Radicals - basic information about perfect square numbers [This expired page is brought to you by the Internet archive, the Wayback Machine.] Simplifying Radicals - explanation and practice problems
Multiply, divide, and square numbers expressed in scientific notation. SPI 3102.2.2	Calculating with Scientific Notation - explanation, several examples and links to a large number of worksheets at the bottom of the page Converting Numbers to Scientific Notation - AAA Math lesson and practice problems and Converting Standard Numbers to Scientific Notation - instruction and review, practice, and a quiz and Converting from Scientific Notation to Standard Numbers - instruction and review, practice, and a quiz and Comparing Scientific and Standard Notation Numbers - instruction and review, practice, and a quiz and Converting Decimal Numbers to Scientific Notation - instruction and review, practice, and a quiz and Converting from Scientific Notation to Decimal Numbers - instruction and review, practice, and a quiz and Converting Fractions to Scientific Notation - instruction and review, practice, and a quiz and Cube of a Number - AAA Math lesson and practice problems and Division Using Scientific Notation - - two examples and seven practice problems Evaluating Exponents of Negative Numbers - AAA Math lesson and practice problems and Exponential Expressions - find the exponential expression that is equivalent to the number given Exponent Practice - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again. Exponents - Unit 3 from Ms. Glosser's Math Goodies Interactive Algebra Review on Integer Exponents Multiplication and Division Problems Using Scientific Notation - two examples and seven practice problems Multiplication in Scientific Notation - four examples and seven practice problems Practice with Scientific Notation - fifteen practice problems - pencil and paper may be needed - (answers provided) [This expired page is brought to you by the Internet archive, the Wayback Machine.] Scientific Notation - explanation from New York University's MathMol page Scientific Notation - Why your wrist (or keyboard) will thank you for not writing all those zeros. Scientific Notation - interactive practice Scientific Notation Problem Generator - either the scientific notation or standard notation representation of a number will be shown. Put the corresponding value(s) in the empty cell(s) and press "Check Answer". Scientific Notation Quiz - ten multiple choice questions Simplifying - Expressions that have had their like terms combined. Match each expression on the left with an expression on the right. Type the letter of the correct expression in the box. Symbols of Inclusion - simplify each expression and choose the correct comparison symbol
Describe and/or order a given set of real numbers including both rational and irrational numbers. SPI 3102.2.3	Comparing Seven Digit Numbers - practice area followed by an interactive game Number Family Interactive - Take the ten question quiz and decide whether the numbers are integers, rational, or irrational numbers. Real Number Practice - practice the subsets of the real number system with six multiple-choice questions Real Number System - this five page .pdf file includes a twenty question quiz to print, answers are on a separate page Real Numbers - flashcards or a concentration game from Quia Real Numbers Interactive - ten questions - tell whether the numbers are rational or irrational Real Numbers Lesson - short explanation with a link to practice problems Subsets of the Real Number System - an interactive quiz from Quia Various Subsets of Real Numbers - six question multiple-choice quiz
National Library of Virtual Manipulatives	Number & Operations [Grades 9-12]