Selma City Schools Curriculum Pacing Guide Grades 9-12 Subject: Algebra II Effective Year: 2013-14 Nine 1 Nine 2 Nine 3 Nine 4 X X Time CC COS QC Literacy DOK Lesson References/Activities Date Taught Test 2 2 Pre-requisite Skills & Rules and Procedures Quality Core Unit Plan A.1.a Identify Properties of numbers and use them and the correct order of operations to simplify expressions A-APR1 15 A.1.b Multiply monomials and binomials A.1.c Factor trinomials in the form ax2+bx+c A.1.d Solve single-step and multistep equations and inequalities A.1.e Solve systems of linear equations using various methods, including elimination, substitution, and graphing A.1.f Write linear equations in standard form and slope-intercept form when given two points, a point and the slope, or the graph of the equation A.1.g Graph a linear equation using a table of values, x-and y-intercepts, or slope-intercept form A.1.h Find the distance and midpoint between two points in the coordinate plane A.1.i Use the sine, cosine, and tangent ratios to find the sides of angles of a right triangle A.1.j Use inductive reasoning to make conjectures and deductive reasoning to arrive at valid conclusions Introduction to Algebra II: The Purposes and Predictability of Patterns A.1.a Identify properties of real numbers and use them and the correct order of operations to simplify expressions A.1.j Use inductive reasoning to make conjectures and deductive reasoning to arrive at valid Quality Core Unit Plan
conclusions B.1.a Apply problem-solving skills (e.g., identifying B.1.b Use a variety of strategies to set up and solve B.1.c Represent data, real-world situations, and B.1.e Make appropriate use of estimation and mental B.1.ff Make mathematical connections among mathematics (e.g.,organize data, develop spent on computations after a skill has been established) geometric concepts to more advanced problems H.2.a Find the nth term of an arithmetic or geometric sequence H.2.b Find the position of a given term of an arithmetic or geometric sequence H.2.c Find sums of a finite arithmetic or geometric series H.2.d Use sequences and series to solve real-world problems H.2.e Use sigma notation to express sums
2 Unit 2 Linear Equations & Inequalities: The Poetry & Prose of Algebra B.1.a Apply problem-solving skills (e.g., identifying B.1.b Use a variety of strategies to set up and solve B.1.c Represent data, real-world situations, and B.1.e Make appropriate use of estimation and mental spent on computations after a skill has been established) geometric concepts to more advanced problems A-REI11 27 D.1.a R1, 2, 3 Solve linear inequalities containing absolute 3, 7, value A-REI11 27 D.1.b R1, 2, 3 Solve compound inequalities containing and 3, 7, and or and graph the solution set A-CED2 21 D.1.c R2, 3, 7 3 Solve algebraically a system containing three variables A-CED2 21 D.2.a R2, 3, 7 3 Graph a system of linear inequalities in two A-CED3 22 variables with and without technology to find the solution set to the system Quality Core Unit Plan
2 A-CED1 A-CED2 A-CED3 20 21 22 D.2.b R2, 3, 7 2, 3 Solve linear programming problems by finding maximum and minimum values of a function over a region defined by linear inequalities Unit 3 What is a Matrix-Really? B.1.a Apply problem-solving skills (e.g., identifying B.1.b Use a variety of strategies to set up and solve B.1.c Represent data, real-world situations, and B.1.e Make appropriate use of estimation and mental mathematics (e.g. organize data, develop spent on computations after a skill has been established) geometric concepts to more advanced problems A-CED2 21 D.1.c R2, 3, 7 3 Solve algebraically a system containing three variables N-VM7 8 I.1.a R1, 4 2, 4 Add, subtract, and multiply matrices N-VM8 9 N-VM9 10 N-VM7 N-VM9 8 10 I.1.b R1, 4 2, 4 Use addition, subtraction, and multiplication of matrices to solve real-world problems
3 N-VM10 11 I.1.c R1, 4 2, 4 Calculate the determinant of 2 2 and 3 3 matrices N-VM10 11 I.1.d R1, 4 2, 4 Find the inverse of a 2 2 matrix N-VM10 11 I.1.e R1, 4 2, 4 Solve systems of equations by using inverses A-REI9 N-VM6 N-VM7 N-VM8 N-VM9 26 7 8 9 10 I.1.f R1, 4 W2 of matrices and determinants 2, 4 Use technology to perform operations on matrices, find determinants, and find inverses Unit 4 Functions, Relations, & Conics Quality Core Unit Plan B.1.a Apply problem-solving skills (e.g., identifying B.1.b Use a variety of strategies to set up and solve B.1.c Represent data, real-world situations, and B.1.e Make appropriate use of estimation and mental spent on computations after a skill has been established) geometric concepts to more advanced problems
F-BF1 F-BF1a A-CED1 A-CED2 F-IF5 F-IF5 F-BF3 AL F-IF8 AL F-IF8 AL F-IF8 AL F-IF8 33 C.1.d Perform operations on functions, including function composition, and determine domain and range for each of the given functions 20 21 29 29 34 28 31 28 31 28 31 28 31 E.2.a R2, 3, 7 W 2, 3 E.2.b R7 2, 3 Determine the domain and range of a quadratic function; graph the function with and without technology 2 Use transformations (e.g., translation, reflection) to draw the graph of a relation and determine a relation that fits a graph E.3.a R1, 4 1,2 Identify conic sections (e.g., parabola, circle, ellipse, hyperbola) from their equations in standard form E.3.b R1, 4 1, 2 Graph circles and parabolas and their translations from given equations or characteristics with and without technology E.3.c R1, 4 1,2 Determine characteristics of circles and parabolas from their equations and graphs E.3.d R1, 4 1,2 Identify and write equations for circles and parabolas from given characteristics and graphs Semester Exams
Selma City Schools Curriculum Pacing Guide Grades 9-12 Subject: Algebra II Effective Year: 2013-14 Nine 1 Nine 2 Nine 3 Nine 4 X X Time CC COS QC Literacy DOK Lesson References/Activities Date Taught Test Unit 5 Quadratic Equations, Inequalities, & Functions Quality Core Unit Plan 3 B.1.a. Apply problem-solving skills (e.g., identifying B.1.b Use a variety of strategies to set up and solve B.1.c Represent data, real-world situations, and B.1.e Make appropriate use of estimation and mental spent on computations after a skill
3 N-CN1 N-CN3 1 3 N-CN2 2 C.1.b R7 A-APR3 A-CED1 17 20 has been established) geometric concepts to more advanced problems C.1.a R7 2, 3 Identify complex numbers and write their W2 conjugates 2, 3 Add, subtract, and multiply complex numbers W2 C.1.c R7 2, 3 Simplify quotients of complex numbers W2 E.1.a R2, 3, 7 N-CN9 6 E.1.b R2, 3, 7 N-CN7 4 E.1.c R2, 3, 7 A-CED1 A-CED2 20 21 E.1.d R2, 3, 7 F-BF1b 34 E.2.b R7 W2 A-CED2 A-CED3 21 22 2, 3 Solve quadratic equations and inequalities using various techniques, including completing the square and using the quadratic formula 3 Use the discriminant to determine the number and type of roots for a given quadratic equation 2 Solve quadratic equations with complex number solutions 3, 4 Solve quadratic systems graphically and algebraically with and without technology 3 Use transformations (e.g., translation, reflection) to draw the graph of a relation and determine a relation that fits a graph E.2.c R2, 3, 7 3 Graph a system of quadratic inequalities with and without technology to find the solution set to the system Unit 4 Unit 4 Unit 6 Polynomials Quality Core Unit Plan B.1.a Apply problem-solving skills (e.g., identifying B.1.b Use a variety of strategies to set up and solve B.1.c Represent data, real-world situations, and B.1.e Make appropriate use of estimation and mental
3 spent on computations after a skill has been established) geometric concepts to more advanced problems A-APR2 16 F.1.a Evaluate and simplify polynomial expressions A-SSE2 A-APR3 A-APR6 13 17 19 and equations F.1.b R2, 3, 7 3 Factor polynomials using a variety of methods (e.g., factor theorem, synthetic division, long division, sums and differences of cubes, grouping) A-APR3 17 F.2.a R2, 3, 7 3 Determine the number and type of rational zeros for a polynomial function A-APR3 17 F.2.b R2, 3, 7 3 Find all rational zeros of a polynomial function N-CN9 6 F.2.c R2, 3, 7 3 Recognize the connection among zeros of a polynomial function, x-intercepts, factors of polynomials, and solutions of polynomial equations A-APR3 F-IF7 17 30 F.2.d R2, 3, 7 3 Use technology to graph a polynomial function and approximate the zeros, minimum, and maximum; determine domain and range of the polynomial function Unit 7 Rational & Radical Expressions and Equations B.1.a Apply problem-solving skills (e.g., identifying B.1.b Use a variety of strategies to set up and solve B.1.c Represent data, real-world situations, and Quality Core Unit Plan
3 F-BF1 F-BF1a A-SSE1 A-CED1 B.1.e Make appropriate use of estimation and mental spent on computations after a skill has been established) geometric concepts to more advanced problems 33 C.1.d Perform operations on functions, including function composition, and determine domain and range for each of the given functions 12 20 G.1.a 2, 3, Solve mathematical and real-world rational equation problems (e.g., work or rate problems) A-REI2 24 G.1.b Simplify radicals that have various indices A-REI2 24 G.1.c Use properties of roots and rational exponents to evaluate and simplify expressions A-REI2 24 G.1.d Add, subtract, multiply, and divide expressions containing radicals A-REI2 24 G.1.e Rationalize denominators containing radicals and find the simplest common denominator A-REI2 24 G.1.f Evaluate expressions and solve equations containing nth roots or rational exponents A-REI2 24 G.1.g Evaluate and solve radical equations given a formula for a real-world situation Unit 4 Unit 8 Exponential & Logarithmic Functions Quality Core Unit Plan B.1.a Apply problem-solving skills (e.g., identifying
3 B.1.b Use a variety of strategies to set up and solve B.1.c Represent data, real-world situations, and B.1.e Make appropriate use of estimation and mental spent on computations after a skill has been established) geometric concepts to more advanced problems F-BF1 33 C.1.d Perform operations on functions, including function composition, and determine domain and range for each of the given functions F-IF7 30 G.2.a R2, 3, 7 3 Graph exponential and logarithmic functions with and without technology F-LE4a 36 G.2.b R2, 4 2 Convert exponential equations to logarithmic form and logarithmic equations to exponential form Unit 4 Unit 9 Trigonometry Quality Core Unit Plan B.1.a Apply problem-solving skills (e.g., identifying
B,1,b Use a variety of strategies to set up and solve B,1,c Represent data, real-world situations, and B.1.e Make appropriate use of estimation and mental spent on computations after a skill has been established) G.3.a Use the law of cosines and the law of sines to find the lengths of sides and measures of angles of triangles in mathematical and real-world problems F-TF2 38 G.3.b R2, 4 2 Use the unit-circle definition of the trigonometric functions and trigonometric to find trigonometric values for general angles F-TF1 37 G.3.c R2, 4 AL F-TF5 39 40 2 Measure angles in standard position using degree or radian measure and convert a measure from one unit to the other G.3.d Graph the sine and cosine functions with and without technology G.3.e Determine the domain and range of the sine and cosine functions, given a graph G.3.f Find the period and amplitude of the sine and cosine functions, given a graph G.3.g R2, 4 2 Use sine, cosine, and tangent functions, including their domains and ranges, periodic nature, and graphs, to interpret and analyze relations
3 S-MD6 S-MD7 S-CP1 S-MD6 S-MD7 S-CP1 S-MD6 S-MD7 S-CP1 41 42 43 41 42 43 41 42 43 0 Probability & Data Analysis Quality Core Unit Plan B.1.a Apply problem-solving skills (e.g., identifying B.1.b Use a variety of strategies to set up and solve B.1.c Represent data, real-world situations, and B.1.e Make appropriate use of estimation and mental spent on computations after a skill has been established) geometric concepts to more advanced problems H.1.a R2, 4, 8 4 Use the fundamental counting principle to count W3, 9 the number of ways an event can happen H.1.b R2, 4, 8 W3, 9 H.1.c R2, 4, 8 W3, 9 4 Use counting techniques, like combinations and permutations, to solve problems (e.g., to calculate probabilities) 4 Find the probability of mutually exclusive and nonmutually exclusive events S-MD6 41 H.1.d R2, 4, 8 4 Find the probability of independent and
S-MD7 S-CP4 S-CP5 S-CP7 S-CP9 S-MD6 S-MD7 S-CP1 S-MD6 S-MD7 S-CP3 S-CP4 S-CP5 S-CP6 42 45 46 48 49 41 42 43 41 42 44 45 46 47 H.1.e R2, 4, 8 W3, 9 H.1.f R2, 4, 8 W3, 9 W3, 9 dependent events 4 Use unions, intersections, and complements to find probabilities 4 Solve problems involving conditional probability Final Exams