SOUTH CAROLINA ACADEMIC STANDARDS FOR MATHEMATICS The mathematical processes provide the framework for teaching, learning, and assessing in all high school mathematics core courses. Instructional programs should be built around these processes. Standard IA-1: The student will understand and utilize the mathematical processes of problem solving, reasoning and proof, communication, connections, and representation. Indicators IA-1.1 Communicate a knowledge of algebraic relationships by using mathematical terminology appropriately. IA-1.2 IA-1.3 IA-1.4 IA-1.5 IA-1.6 IA-1.7 Connect algebra with other branches of mathematics. Apply algebraic methods to solve problems in real-world contexts. Judge the reasonableness of mathematical solutions. Demonstrate an understanding of algebraic relationships by using a variety of representations (including verbal, graphic, numerical, and symbolic). Understand how algebraic relationships can be represented in concrete models, pictorial models, and diagrams. Understand how to represent algebraic relationships by using tools such as handheld computing devices, spreadsheets, and computer algebra systems (CASs). COMMON CORE STATE STANDARDS FOR MATHEMATICS Indicators A-SSE.1 A-CED.2 A-CED.4 Interpret expressions that represent a quantity in terms of its context. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. F-IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Anderson School District Five Page 1 Copyrigth July 1, 2012
Anderson School District Five Page 2 Copyrigth July 1, 2012
First Nine Weeks Unit 1 Numbers and Functions EA-2.5 EA-2.6 EA-2.1 EA-3.4, EA-5.10 Carry out a procedure using the properties of real numbers (including commutative, associative, and distributive) to simplify expressions. Carry out a procedure to evaluate an expression by substituting a value for the variable. Exemplify elements of the real number system (including integers, rational numbers, and irrational numbers). Analyze the graph of a continuous function to determine the domain and range of the function. Analyze given information to determine the domain and range of a linear function in a problem situation. Identify and use properties of real numbers. Evaluate expressions using order of operations. Classify numbers in the real number system. Find the domain, range, and inverse of a relation by using ordered pairs, tables, mapping, and graphs. PowerPoint Day 1 Critical Thinking pp. 11 17 p. 19 p. 12 pp. 60 65 1 EA-3.1 Classify a relationship as being either a function or not a function when given data as a table, set of ordered pairs, or graph. Determine whether a relation and its inverse is a function. pp. 405 406 EA-3.2 EA-3.3 Use function notation to represent functional relationships. Carry out a procedure to evaluate a function for a given element in the domain. Write a function in function notation and evaluate it. PowerPoint Day 2 Function Notation Evaluating Functions pp. 64-65 2 IA-2.5 Carry out procedures to perform operations on polynomial functions (including f(x) + g(x), f(x) g(x), f(x) g(x), and f(x)/g(x)). Perform operations with functions by evaluating Anderson School District Five Page 3 Copyrigth July 1, 2012
First Nine Weeks IA-2.6 A Apply a procedure to write the equation of a composition of given functions. Find the composition of two functions by evaluating. 2 cont d SC IA-2.7 SC IA-2.8 A F-BF.3 Carry out a procedure to graph translations of parent functions.. including 2 1 y x, y x, y x, y x, y x Carry out a procedure to graph transformations of parent functions (including y x, y x 2, and y x Identify the effect on the graph of replacing f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. Review Test ). Given the graph of a function, perform transformations. PowerPoint Day 3 Transformations Review Chapter 1 Study Guide Review for Test on Unit 1 Test A Test B 3 4 Anderson School District Five Page 4 Copyrigth July 1, 2012
First Nine Weeks Unit 2 Linear Functions EA-5.7 F-IF.6 Apply the concept of slope as a rate of change to solve problems. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Identify linear functions as having a constant rate of change within ordered pairs, tables, and mappings using real world data. Find and analyze the slope of a linear function. Hon Exploring Rates of Change 4 cont d Solve rate of change word problems. Determine the slope, graph, and equations of horizontal and vertical lines. EA-5.5 Carry out a procedure to determine the x- intercept and y-intercept of lines from data given tabularly, graphically, symbolically, and verbally. Use x- and y-intercepts to graph linear functions. 5 Review Linear Equations EA-5.1 Carry out a procedure to graph a line when given the equation of the line. Use slope intercept form to graph linear functions. EA-4.6 Represent linear equations in multiple forms (including point-slope, slope-intercept, and standard). Using a graph, write the equation in slope intercept form. Worksheet Modeling Linear Equations 6 Anderson School District Five Page 5 Copyrigth July 1, 2012
First Nine Weeks SC IA-2.7, SC IA-2.8 A F-BF.3 Carry out a procedure to graph translations of parent functions.. including 2 1 y x, y x, y x, y x, y x Carry out a procedure to graph transformations of parent functions (including y x, y x 2, and y x Identify the effect on the graph of replacing f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. ). Graph linear functions using the graphing calculator and transformations. 6 cont d EA-3.4 Analyze the graph of a continuous function to determine the domain and range of the function. Find the domain and range (using interval notation) of a linear function. EA-2.5 EA-4.7 Carry out a procedure using the properties of real numbers (including commutative, associative, and distributive) to simplify expressions. Carry out procedures to solve linear equations for one variable algebraically. Perform operations on linear functions. Solve linear equations and functions both algebraically and graphically. Operations with Linear Functions Function Operations Compositions & Inverses Function Inverses Solving Multi-step Equations Solving Linear Functions 7 Anderson School District Five Page 6 Copyrigth July 1, 2012
First Nine Weeks SC IA-2.7, SC IA-2.8 A F-BF.3 Carry out a procedure to graph translations of parent functions.. including 2 1 y x, y x, y x, y x, y x Carry out a procedure to graph transformations of parent functions (including y x, y x 2, and y x Identify the effect on the graph of replacing f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. ). Write the equation of a line when given a point and a slope, two points, or a graph. Worksheet Finding Slope and Writing the Equation of a Line 8 EA-5.8 Analyze the equations of two lines to determine whether the lines are perpendicular or parallel. Write the equation of a line that is parallel or perpendicular to a given line. Writing Equations of Lines EA-4.8 Carry out procedures to solve linear inequalities for one variable algebraically and then to graph the solution. Review Write, solve, and graph one and two variable linear inequalities. Graphing Linear Inequalities Solving Inequalities Review Study Guide Review Worksheet for Test 9 Test 10 Anderson School District Five Page 7 Copyrigth July 1, 2012
First Nine Weeks Unit 3 System of Linear Equation SC IA-2.2 A-CED.3 Carry out a procedure to solve a system of linear inequalities graphically. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. Identify a system as consistent, inconsistent, dependent, or independent. Solve a system of linear equations by graphing. Worksheet Solve by Graphing 11 SC IA-2.1 A-CED.3 Carry out a procedure to solve a system of linear inequalities algebraically. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. Solve a system of linear equations by substitution. Solve a system of linear equations by elimination. Solve a system of linear equations (both two and three variable) algebraically and using matrices. Systems of Two Equations Worksheet Mixed Practice on Solving Systems Worksheet Elimination & Substitution Systems of Three Equations Elimination Systems of Three Equations Substitution 12 12 13 SC IA-2.3 A-CED.3 Analyze a problem situation to determine a system of linear inequalities that models the problem situation. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. Solve real-world problems using systems of equations (including mixture and distance-rate-time problems). Systems of Equations Word Problems Hon Word Problems Hon More Word Problems Hon Solve in Terms of a and World Problems 14 Anderson School District Five Page 8 Copyrigth July 1, 2012
First Nine Weeks SC IA-2.2 SC IA-2.4 A-CED.3 SC IA-2.3 A-CED.3 SC IA-2.4 A-CED.3 Carry out a procedure to solve a system of linear inequalities graphically. Use linear programming to solve contextual problems involving a system of linear inequalities. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. Analyze a problem situation to determine a system of linear inequalities that models the problem situation. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. Use linear programming to solve contextual problems involving a system of linear inequalities. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. Review Graph a system of linear inequalities. Write and graph a set of constraints for a linear programming problem. Use linear programming to find the maximum or minimum value of an objective function. Worksheet Systems of Inequalities Systems of Inequalities Worksheet Linear Programming (a) Worksheet Linear Programming (b) Worksheet Linear Programming (c) Hon 3 x 3 and Linear Programming Hon Extra Practice with Word Problems and Linear Programming Project Rescue the Princess Review for the Test Test 19 15 16 17-18 Review 20-21 Anderson School District Five Page 9 Copyrigth July 1, 2012
First Nine Weeks First Nine Weeks Test Exam Review Material 22 Anderson School District Five Page 10 Copyrigth July 1, 2012
First Nine Weeks Anderson School District Five Page 11 Copyrigth July 1, 2012
Second Nine Weeks Unit 4 Radical Functions EA-2.2 Apply the laws of exponents and roots to solve problems. Use properties of exponents to multiply and divide monomials. Worksheet Properties of Exponents 23 IA-4.7 Carry out a procedure to perform operations with expressions involving rational exponents (including addition, subtraction, multiplication, division, and exponentiation). Write and simplify expressions with rational exponents in radical form and vice versa. IA-4.5, IA-4.7 Carry out a procedure to simplify algebraic expressions involving rational exponents. Carry out a procedure to perform operations with expressions involving rational exponents (including addition, subtraction, multiplication, division, and exponentiation). Simplify expressions containing rational exponents. Get in terms of the lowest common root. Worksheet Simplifying Rational Exponents 24 Simplify a radical. SC IA-4.9 A-REI.2 Carry out a procedure to solve radical equations algebraically. Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. Add, Subtract, and multiply radicals. Divide radicals and rationalize the denominator. More on Operations with Radicals 25-26 Anderson School District Five Page 12 Copyrigth July 1, 2012
Second Nine Weeks SC IA-2.7 SC IA-2.8 B F-BF.3 Carry out a procedure to graph translations of parent functions.. including 2 1 y x, y x, y x, y x, y x Carry out a procedure to graph transformations of parent functions (including y x, y x 2, and y x Identify the effect on the graph of replacing f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. ). Graph radical functions using transformations. Worksheet Graphing Radical Transformations 26 cont d SC IA-4.9 Carry out a procedure to solve radical equations algebraically. Determine the domain and range (using interval notation) of a radical function given the graph. A-REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. Solve radical equations, verify solutions, and determine the domain restrictions. Worksheet Solving Radical Equations Hon Solving Radical Equations 27 Review Jeopardy Review Review Chapter 7 Study Guide Review for Test 28 Test 29 Anderson School District Five Page 13 Copyrigth July 1, 2012
Second Nine Weeks Unit 5 Quadratic Functions Define quadratic functions. SC IA-3.5 B A-CED.1 A-CED.2 A-CED.3 A-CED.4 Analyze given information (including quadratic models) to solve contextual problems. Create equations and inequalities in one variable and use them to solve problems. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. Graph quadratic functions using a graphing calculator and identify important features including the maximum/minimum, the zeros, and the intervals where the function is increasing/decreasing. Determine the domain and range (using interval notation) for quadratic functions. Worksheet Introduction to Quadratics Hon More Quadratic Word Problems Hon Quadratic Word Problems 30 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. Anderson School District Five Page 14 Copyrigth July 1, 2012
Second Nine Weeks IA-3.3 Carry out a procedure to solve quadratic equations algebraically (including factoring, completing the square, and applying the quadratic formula). Factor quadratic expressions. Solve quadratic functions by factoring. Second Nine Weeks Test (if exam given before Christmas break) Factoring Quadratic Form Factoring Quadratic Expressions Factoring by Grouping Factoring a Sum & Difference of Cubes Factoring All Techniques Worksheet Mixed Factoring Practice Worksheet Perfect Squares and Cubes and Graphing Worksheet Factoring Trinomials Worksheet Solve by Factoring Worksheet Factoring & Solve by Factoring Quadratic Equations by Factoring Review for Test A Review for Test 31-32 33 Anderson School District Five Page 15 Copyrigth July 1, 2012
Second Nine Weeks Unit 5 Quadratic Functions continued SC IA-2.7 SC IA2.8 B F-BF.3 SC IA-3.1 Carry out a procedure to graph translations of parent functions.. including 2 1 y x, y x, y x, y x, y x Carry out a procedure to graph transformations of parent functions (including y x, y x 2, and y x Identify the effect on the graph of replacing f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. Carry out a procedure to simplify expressions involving powers of i. ). Complete the square to write a quadratic function in vertex form including quadratics such as 4x 2 + 3x + 5.. Graph quadratic functions using vertex form. Determine the domain and range (using interval notation) for quadratic functions (with graphs). Complete the Square Worksheet Write in Vertex Form and Graph Worksheet Complete the Square to Find the Vertex Worksheet More on Completing the Square to Find the Vertex Worksheet Write in Vertex Form and Graph 34 N-CN.1 Know there is a complex number i such that i 2 = -1, and every complex number has the form a + bi with a and b real. Define and simplify complex numbers. 35 Anderson School District Five Page 16 Copyrigth July 1, 2012
Second Nine Weeks SC IA-3.2 N-CN.2 IA-3.3 SC IA-3.3 N-CN.7 IA-3.4 IA-3.6 Carry out a procedure to perform operations with complex numbers (including addition, subtraction, multiplication, and division). Use the relation i 2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. Carry out a procedure to solve quadratic equations algebraically (including factoring, completing the square, and applying the quadratic formula). Carry out a procedure to solve quadratic equations algebraically (including factoring, completing the square, and applying the quadratic formula). Solve quadratic equations with real coefficients that have complex solutions. Use the discriminant to determine the number and type of solutions of a quadratic equation. Carry out a procedure to write an equation of a quadratic function when given its roots. Perform operations using complex numbers. Solve quadratic functions by completing the square and using the square root method. Solve quadratic functions using the quadratic formula. Use the discriminant to determine the nature of the solutions. Solve radical equations with two or more radicals that result in a quadratic equation. Write the equation of a quadratic function when given its roots, and the function value for a given x. Worksheet Complex Numbers Operations with Complex Numbers Properties of Complex Numbers Rationalizing Imaginary Denominators Worksheet Complete the Square to Solve Quadratics Worksheet Complete the Square to Find Vertex and Solve Worksheet Square Root Method to Solve Quadratic Equations by Completing the Square Quadratic Equations Square Roots Worksheet Solve Using Quadratic Formula Quadratic Formula Worksheet Find Eq from Roots Factors and Zeros 36 37 38 39 Anderson School District Five Page 17 Copyrigth July 1, 2012
Second Nine Weeks Solve quadratic inequalities. Hon Quadratic Inequalities and Radicals Chutes and Ladders Review Review for Quadratics Jeopardy Review 40 Review Part B Test 41 Review 42-44 Midterm Exam (if test given after Christmas break) Exam Review Materials 45 Anderson School District Five Page 18 Copyrigth July 1, 2012
Third Nine Weeks Unit 6 Polynomial Functions SC IA-4.1 A-APR.1 A-APR.6 SC IA-4.2 Carry out a procedure to classify polynomials by their degree and number of terms. Carry out a procedure to perform operations (including multiplication, exponentiation, and division) with polynomial expressions. Understand that polynomials form a system analogous to the integers, namely they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system. Carry out a procedure to determine specified points (including zeros, maximums, and minimums) of polynomial functions. Classify polynomials Add, subtract, and multiply polynomial functions. Divide polynomial functions using long division. Divide polynomial functions using synthetic division. Polynomial Basics 46 47 A-APR.3 Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. Describe the shapes of their graphs then sketch its graph. 48 F-IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Anderson School District Five Page 19 Copyrigth July 1, 2012
Third Nine Weeks SC IA-4.2 F-IF.4 SC IA-4.4 C SC IA-4.3 A-SSE.2 Carry out a procedure to determine specified points (including zeros, maximums, and minimums) of polynomial functions. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of quantities, and sketch graphs showing key features given a verbal description of the relationship. Analyze given information (including polynomial models) to solve contextual problems. Carry out a procedure to solve polynomial equations (including factoring by grouping, factoring the difference between two squares, factoring the sum of two cubes, and factoring the difference between two cubes). Use the structure of an expression to identify ways to rewrite it. Identify and describe important features of the graph of a polynomial function including absolute and relative maximum/minimum points, intervals where the function is increasing/decreasing, zeros (including the multiplicity of each), domain and range (in interval notation), and end behavior. Factor and solve polynomial functions, then sketch its graph. Graphing Polynomial Functions Basic Shape Graphing Polynomial Functions Review 7.1 to 7.3 Hon U Substitution Hon U Sub from Old Workbook 48 cont d 49 F-1F.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Use the rational root theorem and the complex conjugate root theorem to find the zeros of a polynomial (including quartics and quintics) function and its graph.. The Remainder Theorem Rational Root Theorem More on Factors, Zeros, and Dividing Irrational and Imaginary Root Theorems Descartes Rule of Signs Analyzing and Solving Polynomial Equations 50 Anderson School District Five Page 20 Copyrigth July 1, 2012
Third Nine Weeks Worksheet Rational Root Theorem (A) to Solve Worksheet Rational Root Theorem (B) to Solve Worksheet Last Practice Rational Root Theorem to Find All Roots Find the equation of a polynomial function given its roots and the function value at a given point. Hon Find Polynomial Given Roots (and Rev) 51 Review Review Chapter 6 Study Guide Review for Test Test 52 Anderson School District Five Page 21 Copyrigth July 1, 2012
Third Nine Weeks Unit 7 Rational Functions SC IA-4.8 A-APR.7 SC IA-2.9 C F-IF.7 SC IA- 4.12 A-REI.2 Carry out a procedure to perform operations with rational expressions (including addition, subtraction, multiplication, and division). (+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions. Carry out a procedure to graph discontinuous functions (including piecewise and step functions). Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Carry out a procedure to solve rational equations algebraically. Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. Identify and evaluate rational functions. Multiply and divide rational expressions including complex fractions. Include problems that involve binomials raised to a rational exponent. Add and subtract rational expressions. Graph a rational function and find its domain and range (in interval notation), write equations for its asymptotes, and identify any holes in its graph. Solve rational equations. Worksheet Multiply and Divide Rational Exp Worksheet Review of Operations Worksheet More n Adding and Subtracting Worksheet Add and Sub with Like Denominators Mixed Review of Operations Worksheet Graphing Rationals (a) Worksheet Graphing Rationals (b) Worksheet Graphing Rationals (c) Hon Distance Rate Time Word Problems Worksheet More on Solving Rational Exp Worksheet Solving Rational Exp Hon Rational Word 53 54 55 56 Anderson School District Five Page 22 Copyrigth July 1, 2012
Third Nine Weeks Problems Solve rational inequalities. Hon Rational Inequalities 56-57 Review Review Chapter 9 Study Guide Review Graphing and Operations 57 Review Operations & Solving Rational Equations Review Test 58 Anderson School District Five Page 23 Copyrigth July 1, 2012
Third Nine Weeks Unit 8 Exponential Functions & Logarithmic Functions SC IA- 4.14 F-IF-7c SC IA- 4.14 F-IF.7e SC IA- 4.13 F-LE.4 IA-4.6 SC IA- 4.10 A-CED.1 Carry out a procedure to graph exponential functions. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. Carry out a procedure to graph exponential functions. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude Carry out a procedure to graph logarithmic functions. For exponential models, express as a logarithm the solution to ab ct =d where a, c, and d are numbers and the base b Carry out a procedure to simplify algebraic expressions involving logarithms. Carry out a procedure to solve logarithmic equations algebraically. Create equations and inequalities in one variable and use them to solve problems. Graph exponential functions using transformations. Find the domain and range (in interval notation) and the equation of the horizontal asymptote for an exponential function Solve exponential equations with like bases. Graph the inverse of the exponential function and define the logarithmic function. Find the domain and range (in interval notation) and the equation of the vertical asymptote for a logarithmic function Rewrite logarithmic equations. Simplify and evaluate expressions involving logarithms using the properties of logarithms. Use the definitions of exponential and logarithmic functions to solve equations. Worksheet Exponential Graphs Worksheet Intro to Logs Worksheet Practice with Log Properties and Solving Log Equations Review 1st Half Through Log Properties Worksheet Basic Log Equations with No Calculator Worksheet Logs Worksheet Worksheet More on Logs 59 60 61 Anderson School District Five Page 24 Copyrigth July 1, 2012
Third Nine Weeks SC IA-4.10 SC IA- 4.11 F-BF.4 Carry out a procedure to solve logarithmic equations algebraically. Carry out a procedure to solve logarithmic equations graphically. Find inverse functions. Review Classify an exponential function as representing a growth or a decay. Solve equations involving logarithms algebraically and graphically. Solve exponential equations using common logs algebraically and graphically. Calculate the growth of investments under various conditions using exponential and natural exponential functions. Write and evaluate exponential expressions to model growth and decay situations. Solve for other variables such as time and rate. 61 cont d Review Log Equations and Exponential Equations Using Logs Worksheet Exponential Eq with Unlike Bases 62 Worksheet Compound Interest & Exp. Functions Worksheet Growth & Decay Solve for New Variable Hon More Word Problems Hon Find the Errors Worksheet 63 Activity Shedding Light on the Subject Activity Spreading Rumors Worksheet More Word Problems Worksheet Word Problems Finding Other Variables Jeopardy Review 64 Quiz on Logs Test 65 Third Nine Weeks Test Exam Review Materials 66-68 Anderson School District Five Page 25 Copyrigth July 1, 2012
Third Nine Weeks Anderson School District Five Page 26 Copyrigth July 1, 2012
Fourth Nine Weeks Unit 9 Sequence and Series IA-6.1 IA-6.2 IA-6.3 IA-6.4 Categorize a sequence as arithmetic, geometric, or neither. Carry out a procedure to write a specified term of an arithmetic or geometric sequence when given the nth term of the sequence. Carry out a procedure to write a formula for the nth term of an arithmetic or geometric sequence when given at least four consecutive terms of the sequence. Carry out a procedure to write a formula for the nth term of an arithmetic or geometric sequence when given at least four terms of the sequence. Categorize a sequence as arithmetic, geometric, or neither. Carry out a procedure to write a specified term of an arithmetic sequence when given the nth term of the sequence. Write a specified term or formula for the nth term of an arithmetic sequence when given at least four consecutive terms of the sequence. Write a formula for the nth term of an arithmetic sequence when given at least four terms of the sequence Introduction to Sequences Worksheet Arithmetic Seq & Series Arithmetic Sequence Arithmetic Series Review of Arithmetic and Geometric Arithmetic and Geometric Means Geometric Sequences 69 IA-6.7 Carry out a procedure to determine consecutive terms of a sequence that is defined recursively. Determine consecutive terms of a sequence that is defined recursively. IA-6.8 Carry out a procedure to define a sequence recursively when given four or more consecutive terms of the sequence. Define a sequence recursively when given four or more consecutive terms of the sequence Anderson School District Five Page 27 Copyrigth July 1, 2012
Fourth Nine Weeks SC IA-6.5 A-SSE.4 Represent an arithmetic or geometric series by using sigma notation. Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. Represent an arithmetic or geometric series by using sigma notation and using a finite series. Finite Geometric Series Infinite Geometric Series 70 IA-6.3 Carry out a procedure to write a formula for the nth term of an arithmetic or geometric sequence when given at least four consecutive terms of the sequence. Write a specified term of an geometric sequence when given the nth term of the sequence. IA-6.4 Carry out a procedure to write a formula for the nth term of an arithmetic or geometric sequence when given at least four terms of the sequence. Write a specified term or formula for the nth term of an geometric sequence when given at least four consecutive terms of the sequence. Write a formula for the nth term of an geometric sequence when given at least four terms of the sequence 71 SC IA-6.6 A-SSE.4 Carry out a procedure to calculate the sum of an arithmetic or geometric series written in sigma notation. Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. Calculate the sum of an arithmetic or geometric series written in sigma notation Hon Infinite Series MidChapter Review Anderson School District Five Page 28 Copyrigth July 1, 2012
Fourth Nine Weeks IA-6.9 Translate between the explicit form and the recursive form of sequences. Find the sum of an infinite geometric series and translate between the explicit form and the recursive form of sequences. 72 Find the limit of a function including the differentiation quotient. Hon Limits Worksheet Hon Limits and Review 73 Review 74 Test 75 Anderson School District Five Page 29 Copyrigth July 1, 2012
Fourth Nine Weeks Unit 10 Piecewise Functions and Modeling SC IA-2.9 D F-IF.7b Carry out a procedure to graph discontinuous functions (including piecewise and step functions). Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. Define and graph piecewise functions. Worksheet Graphing Piecewise Functions SC IA-2.10 F-IF.5 Carry out a procedure to determine the domain and range of discontinuous functions (including piecewise and step functions). Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. Identify the domain and range (in interval notation) of piecewise functions. 76 Anderson School District Five Page 30 Copyrigth July 1, 2012
Fourth Nine Weeks Define an absolute value function. SC IA-2.7 SC IA-2.8 D F-BF.3 Carry out a procedure to graph translations of parent functions, including 2 1 y x, y x, y x, y x, y x Carry out a procedure to graph transformations of parent functions (including y x, y x 2, and y x Identify the effect on the graph of replacing f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. ). Graph an absolute value function using transformations and identify the domain and range (in interval notation) Solve absolute value equations and inequalities. Graphing Absolute Value Equations Solving Absolute Value Equations Worksheet Graphing and Solving Absolute Value Equations 77 Define and graph a step function. SC IA- 2.10 F-IF.5 Carry out a procedure to determine the domain and range of discontinuous functions (including piecewise and step functions). Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. Identify the domain and range (in interval notation) of step functions. 78 Anderson School District Five Page 31 Copyrigth July 1, 2012
Fourth Nine Weeks SC IA-3.5 SC IA-4.4 A-CED.1 F-IF.6 Analyze given information (including quadratic models) to solve contextual problems. Analyze given information (including polynomial models) to solve contextual problems Create equations and inequalities in one variable and use them to solve problems. Analyze given information and scatterplots to determine the appropriate model to use to solve contextual problems using the regression feature of the graphing calculator. These should include all previously learned functions. Activity Growing by Leaps and Bounds Worksheet More on Nonlinear Modeling Problems Worksheet (a) Modeling Nonlinear Worksheet Nonlinear Modeling Using the Calculator 79 Review/Test Review for Test on Piecewise Functions 80 Anderson School District Five Page 32 Copyrigth July 1, 2012
Fourth Nine Weeks Unit 11 Conic Sections Complete the square to find the vertex form of any parabola including parabolas that are not functions. Graph the parabola and identify the directrix and focus. 81 Classify a conic section as the intersection of a plane and a double cone. IA-5.2 IA-5.1 Carry out a procedure to write an equation of a circle centered at the origin when given its radius. Carry out a procedure to graph the circle whose equation is the form x 2 y 2 r 2 Write an equation for a circle. Given an equation of a circle, graph it and label the radius and the center Worksheet Parabola & Circle IA-5.2 IA-5.3 Carry out a procedure to write an equation of a circle centered at the origin when given its radius. Carry out a procedure to graph the ellipse whose equation is the form x 2 a 2 y 2 b 2 1 Complete the square to change the equation of a circle from general form to standard form. Include circles with the center not at the origin. Write the standard equation of an ellipse. Given an equation of an ellipse, graph it and label the center, vertices, covertices, and foci. Include ellipses with the center not at the origin. Anderson School District Five Page 33 Copyrigth July 1, 2012 Worksheet - Ellipse 82
Fourth Nine Weeks IA-5.4 IA-5.6 IA-5.5 IA-5.7 SC IA- 2.11 Carry out a procedure to write an equation of an ellipse centered at the origin when given information from among length of major axis, length of minor axis, and vertices. Carry out a procedure to write an equation of a hyperbola centered at the origin with specified vertices. Carry out a procedure to graph the hyperbola whose equation is the form x 2 a 2 y 2 b 2 1 Match the equation of a conic section with its graph. Carry out a procedure to solve a system of equations (including two linear functions and one linear function with one quadratic function). Complete the square to change the equation of an ellipse from general form to standard form. Write the standard equation for a hyperbola. Complete the square to change the equation of a hyperbola from general form to standard form. Graph the equation of a hyperbola and identify the center, foci, vertices, and covertices. Include hyperbolas with the center not at the origin. Identify a conic section from its equation. Mixed product. Worksheet - Hyperbola Review Circle, Hyperbola, Ellipse Review Parts of Conics 82 cont d 83 A-REI.11 Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. Solve a system of equations containing first or second degree equations in two variables. 84 Anderson School District Five Page 34 Copyrigth July 1, 2012
Fourth Nine Weeks Review 85 Test 86 Exam Review 87-89 Final Exam Exam Review Materials 90 Anderson School District Five Page 35 Copyrigth July 1, 2012