Algebra I

Pre-Test	California Content Standards		eTAP Lessons Outside Link		Post-Test
	FREE Selected Annenberg Video Matching Standard * Please roll down on the page to the appropriate video.
	1.0	Students identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable:
Q&A	1.1	Students use properties of numbers to demonstrate whether assertions are true or false.	Variables and Expressions Open Sentences Distributive and Additive Identity, Multiplicative Identity Property and Properties of Equality	ModuMath: The Laws of Algebra	Q&A

Q&A	2.0	Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents.	Dividing Rational Numbers Rules of Exponents Roots and Radicals	Algebra: Exponents	Q&A
		3. Exponents and Radicals * (Annenberg Video)	http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=exp http://regentsprep.org/Regents/mathb/3B1/ RatPowersles.htm
Q&A	3.0	Students solve equations and inequalities involving absolute values.	Absolute Value	Math Mastery: Equations	Q&A
		9. Absolute Value *	http://www.purplemath.com/modules/solveabs.htm http://www.purplemath.com/modules/absineq.htm
Q&A	4.0	Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12.	Distributive and Additive Identity, Multiplicative Identity Property and Properties of Equality	Operation Algebra: Solving Equations with Variables on Both Sides of the Equal Sign (ax + b = cx + d)	Q&A
			http://www.personal.kent.edu/~rmuhamma/Algorithms/M yAlgorithms/MathAlgor/linear.html
Q&A	5.0	Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.	Equations	Adventurous World of Algebra, The, Program 3: Linear Equations	Q&A
		5. Linear Equations * 8. Inequalities *	http://regentsprep.org/Regents/Math/math-topic.cfm?TopicCode=solveq
Q&A	6.0	Students graph a linear equation and compute the x-and y-intercepts (e.g., graph 2x + 6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x + 6y < 4).	Graphing Linear Equations I. Graphing Linear Equations II.	Operation Algebra: Linear Equations: Ax + By = C	Q&A
			http://www.purplemath.com/modules/graphlin.htm
Q&A	7.0	Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the point-slope formula.	Graphing Linear Equations I.	ModuMath: Linear Equations and Graphs IV	Q&A
		10. Linear Relations *	http://regentsprep.org/Regents/math/glines /EqLines.htm
Q&A	8.0	Students understand the concepts of parallel lines and perpendicular lines and how those slopes are related. Students are able to find the equation of a line perpendicular to a given line that passes through a given point.	Parallel Lines Slope of Parallel and Perpendicular Lines Equations of Lines	Adventurous World of Algebra, The, Program 3: Linear Equations	Q&A
			http://regentsprep.org/Regents/Math/paralle l/pracParallel.htm
Q&A	9.0	Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.	Simultaneous Linear Equations	Systems of Equations I Dangerous World of Pre-Calculus, The, Program 3: Solving Systems	Q&A
		20. Systems of Equations * 21. Systems of Linear Equations *	http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=syslin
Q&A	10.0	Students add, subtract, multiply, and divide monomials and polynomials. Students solve multi-step problems, including word problems, by using these techniques.	Multiplying Monomials Dividing Monomials Polynomials Adding and Subtracting Polynomials	Math Factor: Factoring and Graphing Polynomial Functions Math Factor: Polynomial Review	Q&A
		4. Factoring Polynomials *	http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=polyadd
Q&A	11.0	Students apply basic factoring techniques to second-and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials.	Factoring	Factoring II ModuMath: Algebra: Factoring III	Q&A
		4. Factoring Polynomials *	http://www.algebrahelp.com/calculators/expr ession/factoring/
Q&A	12.0	Students simplify fractions with polynomials in the numerator and denominator by factoring both and reducing them to the lowest terms.	Factoring	Dangerous World of Pre-Calculus, The, Program 1: Rational Functions	Q&A
		4. Factoring Polynomials *	http://www.aaaknow.com/fra66hx2.htm
Q&A	13.0	Students add, subtract, multiply, and divide rational expressions and functions. Students solve both computationally and conceptually challenging problems by using these techniques.	Definitions and Properties Rational Numbers	Discovering Math: Concepts in Algebra	Q&A
		17. Rational Functions *	http://faculty.ed.umuc.edu/~swalsh/Mat h%20Articles/RationalE.html
Q&A	14.0	Students solve a quadratic equation by factoring or completing the square.	Quadratic Equations	Adventurous World of Algebra, The, Program 5: Quadratic Roots Factoring II	Q&A
		7. Quadratic Equations *	http://www.sosmath.com/algebra/quadratice q/quadraformula/quadraformula.html
Q&A	15.0	Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems.	Speed and Velocity	Discovering Math: Concepts in Algebra: Ratios and Proportions
			http://www.mathwizz.com/algebra/help/help28.htm
Q&A	16.0	Students understand the concepts of a relation and a function, determine whether a given relation defines a function, and give pertinent information about given relations and functions.	Number Relations Graphing Linear Equations I.	Operation Algebra: Introduction to Linear Relations	Q&A
		13. Functions *	http://regentsprep.org/REgents/mathb/mathb-topic.cfm?TopicCode=7A1
Q&A	17.0	Students determine the domain of independent variables and the range of dependent variables defined by a graph, a set of ordered pairs, or a symbolic expression.	Number Relations	Operation Algebra: Introduction to Linear Relations	Q&A
		13. Functions *	http://www.purplemath.com/modules/fcns2.htm
Q&A	18.0	Students determine whether a relation defined by a graph, a set of ordered pairs, or a symbolic expression is a function and justify the conclusion.	Functions and Graphs	Dangerous World of Pre-Calculus, The, Program 1: Rational Functions Pumped-Up World of Pre-Algebra, The, Program 6: Using Graphs	Q&A
		13. Functions *	http://www.purplemath.com/modules/fcns.htm
Q&A	19.0	Students know the quadratic formula and are familiar with its proof by completing the square.	Quadratic Formula Completing the Square	Adventurous World of Algebra, The, Program 6: The Quadratic Formula Discovering Math: Concepts in Algebra	Q&A
		7. Quadratic Equations *	http://www.regentsprep.org/Regents/ma th/algtrig/ATE3/quadformula.htm
Q&A	20.0	Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations.	Quadratic Formula	Adventurous World of Algebra, The, Program 6: The Quadratic Formula	Q&A
		7. Quadratic Equations *	http://www.purplemath.com/modules/quadform.htm
Q&A	21.0	Students graph quadratic functions and know that their roots are the x-intercepts.	Type of Roots	Adventurous World of Algebra, The, Program 5: Quadratic Roots	Q&A
		16. Polynomial Functions *	http://home.alltel.net/okrebs/page7.html
Q&A	22.0	Students use the quadratic formula or factoring techniques or both to determine whether the graph of a quadratic function will intersect the x-axis in zero, one, or two points.	Completing the Square Quadratic Formula	Discovering Math: Concepts in Algebra	Q&A
		7. Quadratic Equations *	http://www.biology.arizona.edu/biomat h/tutorials/Quadratic/Roots.html
Q&A	23.0	Students apply quadratic equations to physical problems, such as the motion of an object under the force of gravity.	Quadratic Word Problems	Adventurous World of Algebra, The, Program 4: Quadratic Equations Elements of Physics: Motion, Force, and Gravity	Q&A
			http://www.purplemath.com/modules/quadprob.htm
	24.0	Students use and know simple aspects of a logical argument:
		24. Mathematical Induction *
Q&A	24.1	Students explain the difference between inductive and deductive reasoning and identify and provide examples of each.	Deductive Reasoning Definition	Discovering Math: Problem Solving	Q&A
			http://www.socialresearchmethods.net/kb/dedind.php
	24.2	Students identify the hypothesis and conclusion in logical deduction.	Deductive Reasoning	Discovering Math: Problem Solving
			http://www.sparknotes.com/math/geometry3/induct iveanddeductivereasoning/summary.html
	25.0	Students use properties of the number system to judge the validity of results, to justify each step of a procedure, and to prove or disprove statements:
		24. Mathematical Induction *
Q&A	25.1	Students use properties of numbers to construct simple, valid arguments (direct and indirect) for, or formulate counterexamples to, claimed assertions.	Symbols of Logic Modus Tollens, Negation, Law of Syllogism Mathematical Modeling	Discovering Math: Problem Solving
			http://www.philosophypages.com/lg/e01.htm
Q&A	25.2	Students judge the validity of an argument according to whether the properties of the real number system and the order of operations have been applied correctly at each step.	Definitions and Properties	ModuMath: The Laws of Algebra Power of Algebra, The: Basic Properties Power of Algebra, The: Order of Operations	Q&A
			http://www.mathgoodies.com/lessons/vol7/ord er_operations.html
Q&A	25.3	Given a specific algebraic statement involving linear, quadratic, or absolute value expressions or equations or inequalities, students determine whether the statement is true sometimes, always, or never.		Math Factor: General Quadratic Relation: An Introduction ModuMath: Linear Equations and Graphs II Operation Algebra: Introduction to Linear Relations	Q&A