Algebra 2 Standards

Standard	Relationship to course textbook	Related Class Activity	ESLRs
1.0 Students solve equations and inequalities involving absolute value.	IM3 Section 1-1 Merrill Sections 1-6, 1-7 and 1-9
2.0 Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with graphs, or with matrices.	IM3 Sections 1-4, 1-5 and1-8 Merrill Sections 3-5, 3-6
3.0 Students are adept at operations on polynomials, including long division.	Merrill Sections 5-1, 5-2, 5-4 & 5-8
4.0 Students factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference of two cubes.	Merrill Sections 5-5, 5-6, 5-7
5.0 Students demonstrate knowledge of how real and complex numbers are related both arithmetically and graphically. In particular, they can plot complex numbers as points in the plane.	Merrill Section 6-8 Supplementary ditto on graphing in the complex plane.
6.0 Students add, subtract, multiply, and divide complex numbers.	Merrill Sections 6-9, 6-10
7.0 Students add, subtract, multiply, divide, reduce, and evaluate rational expressions with monomial and polynomial denominators and simplify complicated rational expressions, including those with negative exponents in the denominator.	Merrill Sections 11-1, 11-2, 11-3
8.0 Students solve and graph quadratic equations by factoring, completing the square, or using the quadratic formula. Students apply these techniques in solving word problems. They also solve quadratic equations in the complex number system.	Merrill Sections 7-1, 7-2, 7-3, 7-4 & 7-6
9.0 Students demonstrate and explain the effect that changing a coefficient has on the graph of quadratic functions; that is, students can determine how the graph of a parabola changes as a, b, and c vary in the equation y = a(x-b)^2 + c.	Merrill Sections 8-1, 8-2, 8-4 & 8-5
10.0 Students graph quadratic functions and determine the maxima, minima, and zeros of the function.	IM3 Sections 2-4 & 2-5
11.0 Students prove simple laws of logarithms. 11.1 Students understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents. 11.2 Students judge the validity of an argument according to whether the properties of real numbers, exponents, and logarithms have been applied correctly at each step.	IM3 Sections 5-5, 5-6, 5-7 & 5-8
12.0 Students know the laws of fractional exponents, understand exponential functions, and use these functions in problems involving exponential growth and decay.	IM3 Sections 5-1, 5-2, 5-3
13.0 Students use the definition of logarithms to translate between logarithms in any base.	IM3 Section 5-7
14.0 Students understand and use the properties of logarithms to simplify logarithmic numeric expressions and to identify their approximate values.	IM3 Section 5-7
15.0 Students determine whether a specific algebraic statement involving rational expressions, radical expressions, or logarithmic or exponential functions is some-times true, always true, or never true.	IM3 Unit 5 Review, Sections 2-6, 2-7
16.0 Students demonstrate and explain how the geometry of the graph of a conic section (e.g., asymptotes, foci, eccentricity) depends on the coefficients of the quadratic equation representing it.	Merrill Sections 9-2, 9-3, 9-4 & 9-5 IM3 p. 677 Section A-2
17.0 Given a quadratic equation of the form ax^2 + by^2 + cx + dy + e = 0, students can use the method for completing the square to put the equation into standard form and can recognize whether the graph of the equation is a circle, ellipse, parabola, or hyperbola. Students can then graph the equation.	Merrill Section 9-6
18.0 Students use fundamental counting principles to compute combinations and permutations.	IM3 p. 628 Skill 3 & Skill 4
19.0 Students use combinations and permutations to compute probabilities.	IM3 p. 631 Skill 6 & Skill 7 IM3 Sections 7-2, 7-4
20.0 Students know the binomial theorem and use it to expand binomial expressions that are raised to positive integer powers.	Merrill Section 13-9 IM3 Section 7-6
21.0 Students apply the method of mathematical induction to prove general statements about the positive integers.	IM3 Section 3-4
22.0 Students find the general term and the sums of arithmetic series and of both finite and infinite geometric series.	IM3 Sections 4-4, 4-5, 4-6 & 4-7
23.0 Students derive the summation formulas for arithmetic series and for both finite and infinite geometric series.	IM3 Sections 4-1, 4-2, 4-7
24.0 Students solve problems involving functional concepts, such as composition, defining the inverse function and performing arithmetic operations on functions.	IM3 Sections 2-8 & 5-5
25.0 Students use properties from number systems to justify steps in combining and simplifying functions.	IM3 Section 2-8