CA Standard 1.0 DWA Standard APEX Key Glencoe 1.0 Students solve equations and inequalities involving absolute value. Introductory Algebra Core Unit 03: Lesson 01: Activity 01: Study: Solving x = b Unit 03: Lesson 01: Activity 02: Checkup: Practice Unit 03: Lesson 04: Activity 01: Study: Inequalities and Absolute Value Unit 03: Lesson 04: Activity 02: Checkup: Practice Unit 03: Lesson 08: Activity 01: Practice: Assignment 4.6 and supplement 1-4, 5, 6 2.0 2.0 Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with graphs, or with matrices. Unit 01: Lesson 07: Activity 01: Study: Solving with Roots and Powers Unit 01: Lesson 07: Activity 02: Checkup: Practice Unit 01: Lesson 08: Activity 01: Study: Solving Multistep Linear Equations Unit 01: Lesson 08: Activity 02: Checkup: Practice Unit 01: Lesson 06: Activity 04: Study: Solving the Lighting Problem Unit 02: Lesson 01: Activity 01: Study: Two-Variable Systems: Graphing Unit 02: Lesson 01: Activity 02: Checkup: Practice Unit 02: Lesson 02: Activity 01: Study: Two-Variable Systems: Substitution Unit 02: Lesson 02: Activity 02: Checkup: Practice Unit 02: Lesson 03: Activity 01: Study: Two-Variable Systems: Elimination Unit 02: Lesson 03: Activity 02: Checkup: Practice Unit 02: Lesson 04: Activity 01: Study: Two-Variable Systems: Matrices Unit 02: Lesson 04: Activity 02: Checkup: Practice Unit 02: Lesson 05: Activity 01: Study: Two-Variable Systems of Inequalities Unit 02: Lesson 05: Activity 02: Checkup: Practice Unit 02: Lesson 06: Activity 01: Study: Three-Variable Systems of Equations Unit 02: Lesson 06: Activity 02: Checkup: Practice 3.1, 3.2, 3.3, 3.4, 3.6,3.7 6.1, 6.2, 6.3, 6.4, 6.5, 6.6 3.1, 2, 3, 5 4
Unit 02: Lesson 07: Activity 01: Study: Three-Variable Systems: Matrices Unit 02: Lesson 07: Activity 02: Checkup: Practice Unit 02: Lesson 08: Activity 01: Practice: Assignment Unit 02: Lesson 08: Activity 03: Discuss: What's the Solution? 3.0 3.0 Students are adept at operations on polynomials, including long division. Unit 01: Lesson 08: Activity 01: Study: Nonlinear Inequalities Unit 01: Lesson 08: Activity 02: Checkup: Practice Unit 01: Lesson 09: Activity 01: Practice: Assignment Unit 02: Lesson 01: Activity 01: Study: How Many Outputs? Unit 03: Lesson 02: Activity 01: Study: Adding and Subtracting Polynomials Unit 03: Lesson 02: Activity 02: Checkup: Practice Unit 03: Lesson 03: Activity 01: Study: Multiplying Binomials Unit 03: Lesson 03: Activity 02: Checkup: Practice Unit 03: Lesson 04: Activity 01: Study: Multiplying Polynomials Unit 03: Lesson 04: Activity 02: Checkup: Practice Unit 03: Lesson 05: Activity 01: Study: Dividing Polynomials Unit 03: Lesson 05: Activity 02: Checkup: Practice Unit 03: Lesson 06: Activity 05: Study: The Stereo Problem Unit 03: Lesson 07: Activity 01: Practice: Assignment Unit 03: Lesson 07: Activity 03: Discuss: Thinking Positive in the Real World Unit 04: Lesson 02: Activity 01: Study: Factoring with Tiles Unit 04: Lesson 02: Activity 02: Checkup: Practice 7.8 6-1, 2, 3 (12 correlated activities) Unit 05: Lesson 04: Activity 01: Study: Synthetic Division Unit 05: Lesson 04: Activity 02: Checkup: Practice
4.0 4.0 Students factor polynomials representing the differences of squares, perfect square trinomials, and the sum and difference of two cubes. Unit 05: Lesson 05: Activity 01: Study: Factoring Polynomials Completely Unit 05: Lesson 05: Activity 02: Checkup: Practice Unit 05: Lesson 06: Activity 01: Practice: Assignment Unit 05: Lesson 06: Activity 03: Discuss: Final Thoughts on Polynomials Unit 01: Lesson 04: Activity 01: Study: Multiplying and Dividing Rational Expressions Unit 01: Lesson 04: Activity 02: Checkup: Practice Unit 02: Lesson 02: Activity 01: Study: Multiplying and Dividing Radicals Unit 02: Lesson 02: Activity 03: Checkup: Practice Unit 02: Lesson 03: Activity 01: Study: Adding and Subtracting Radicals Unit 02: Lesson 03: Activity 02: Checkup: Practice (10 correlated activities) Unit 03: Lesson 03: Activity 01: Study: Multiplying Binomials Unit 03: Lesson 03: Activity 02: Checkup: Practice Unit 04: Lesson 03: Activity 01: Study: Factoring and Graphing Unit 04: Lesson 03: Activity 02: Checkup: Practice Unit 04: Lesson 07: Activity 01: Study: Special Cases Unit 04: Lesson 07: Activity 02: Checkup: Practice Unit 04: Lesson 08: Activity 01: Study: Solving Quadratic Equations Unit 04: Lesson 08: Activity 02: Checkup: Practice Unit 04: Lesson 09: Activity 01: Study: Completing the Square Unit 04: Lesson 09: Activity 02: Checkup: Practice 7.6, 7.7 & supplement Factoring Cubes 6-4 Supplement to give extra practice Unit 03: Lesson 03: Activity 01: Study: Special Cases Unit 03: Lesson 03: Activity 02: Checkup: Practice Unit 03: Lesson 08: Activity 01: Practice: Assignment Unit 05: Lesson 02: Activity 01: Study: Factoring (Reviewed) Unit 05: Lesson 02: Activity 02: Checkup: Practice
Unit 05: Lesson 06: Activity 01: Practice: Assignment Unit 04: Lesson 10: Activity 01: Study: The Quadratic Formula Unit 04: Lesson 10: Activity 02: Checkup: Practice Unit 04: Lesson 11: Activity 03: Discuss: Being Part of a Group 5.0 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. Unit 03: Lesson 06: Activity 01: Study: The Quadratic Formula Unit 03: Lesson 06: Activity 02: Checkup: Practice Unit 05: Lesson 02: Activity 01: Study: Factoring (Reviewed) Unit 05: Lesson 02: Activity 02: Checkup: Practice Unit 05: Lesson 05: Activity 01: Study: Factoring Polynomials Completely Unit 05: Lesson 05: Activity 02: Checkup: Practice Unit 05: Lesson 06: Activity 01: Practice: Assignment Unit 05: Lesson 06: Activity 03: Discuss: Final Thoughts on Polynomials Unit 02: Lesson 07: Activity 01: Study: Complex Numbers Unit 02: Lesson 07: Activity 02: Checkup: Practice Unit 02: Lesson 08: Activity 01: Practice: Assignment Unit 02: Lesson 08: Activity 03: Discuss: Rooting out Squares and Cubes Unit 04: Lesson 11: Activity 03: Discuss: Being Part of a Group 7.5 5-4 6.0 6.0 Students add, subtract, multiply, and divide complex numbers. Unit 05: Lesson 06: Activity 01: Practice: Assignment Unit 02: Lesson 07: Activity 01: Study: Complex Numbers Unit 02: Lesson 07: Activity 02: Checkup: Practice Unit 02: Lesson 08: Activity 01: Practice: Assignment 7.5 5-4 7.0 7.0 Students add, subtract, multiply, divide, reduce, and 5.3, 5.4 8-1, 2, 6
evaluate rational expressions with monomial and polynomial denominators and simplify complicated rational expressions, including those with negative exponents in the denominator. Unit 03: Lesson 05: Activity 01: Study: Dividing Polynomials Unit 03: Lesson 05: Activity 02: Checkup: Practice 9.6, 9.7, 9.8 8.0 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. Unit 05: Lesson 04: Activity 01: Study: Synthetic Division Unit 05: Lesson 04: Activity 02: Checkup: Practice Unit 01: Lesson 03: Activity 01: Study: Simplifying Rational Expressions Unit 01: Lesson 03: Activity 02: Checkup: Practice Unit 01: Lesson 04: Activity 01: Study: Multiplying and Dividing Rational Expressions Unit 01: Lesson 04: Activity 02: Checkup: Practice Unit 01: Lesson 11: Activity 01: Practice: Assignment Unit 03: Lesson 06: Activity 01: Study: Graphing Polynomials Unit 03: Lesson 06: Activity 02: Checkup: Practice Unit 03: Lesson 06: Activity 05: Study: The Stereo Problem Unit 03: Lesson 07: Activity 01: Practice: Assignment Unit 04: Lesson 01: Activity 01: Study: Why Factor? Unit 04: Lesson 01: Activity 02: Checkup: Practice Unit 04: Lesson 03: Activity 01: Study: Factoring and Graphing Unit 04: Lesson 03: Activity 02: Checkup: Practice Unit 04: Lesson 05: Activity 01: Study: Factoring x2 + bx + c Unit 04: Lesson 05: Activity 02: Checkup: Practice Unit 04: Lesson 06: Activity 01: Study: Factoring ax2 + bx + c Unit 04: Lesson 06: Activity 02: Checkup: Practice Unit 04: Lesson 07: Activity 01: Study: Special Cases Unit 04: Lesson 07: Activity 02: Checkup: Practice Unit 04: Lesson 08: Activity 01: Study: Solving Quadratic Equations Unit 04: Lesson 08: Activity 02: Checkup: Practice 7.3, 7.4 Ch 5
Unit 04: Lesson 09: Activity 01: Study: Completing the Square Unit 04: Lesson 09: Activity 02: Checkup: Practice Unit 04: Lesson 10: Activity 01: Study: The Quadratic Formula Unit 04: Lesson 10: Activity 02: Checkup: Practice Unit 04: Lesson 11: Activity 01: Practice: Assignment 9.0 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 a a, n, and c vary in the equation y = a(x b) 2 + c. Unit 01: Lesson 06: Activity 01: Study: Parabolas Unit 01: Lesson 06: Activity 04: Checkup: Practice Unit 01: Lesson 09: Activity 01: Practice: Assignment Unit 03: Lesson 04: Activity 01: Study: Solving Quadratic Equations Unit 03: Lesson 04: Activity 02: Checkup: Practice Unit 03: Lesson 05: Activity 01: Study: Completing the Square Unit 03: Lesson 05: Activity 02: Checkup: Practice Unit 03: Lesson 06: Activity 01: Study: The Quadratic Formula Unit 03: Lesson 06: Activity 02: Checkup: Practice Unit 03: Lesson 07: Activity 01: Study: Graphs of Quadratic Functions Unit 03: Lesson 07: Activity 02: Checkup: Practice Unit 03: Lesson 08: Activity 01: Practice: Assignment Unit 03: Lesson 08: Activity 03: Discuss: Getting to the Root of the Problem Unit 05: Lesson 01: Activity 01: Study: What Is a Polynomial? Unit 05: Lesson 01: Activity 02: Checkup: Practice Unit 05: Lesson 02: Activity 01: Study: Factoring (Reviewed) Unit 05: Lesson 02: Activity 02: Checkup: Practice Unit 01: Lesson 06: Activity 01: Study: Parabolas Unit 01: Lesson 06: Activity 04: Checkup: Practice Unit 01: Lesson 09: Activity 01: Practice: Assignment Unit 04: Lesson 03: Activity 01: Study: Shifting 4.4 7.2 9.3 5-7
10.0 10.0 Students graph quadratic functions and determine the maxima, minima, and zeros of the function. Functions Unit 04: Lesson 03: Activity 02: Checkup: Practice Unit 04: Lesson 04: Activity 01: Study: Stretching Functions Vertically Unit 04: Lesson 04: Activity 02: Checkup: Practice Unit 04: Lesson 05: Activity 01: Practice: Assignment Unit 05: Lesson 01: Activity 01: Study: What Is a Polynomial? Unit 05: Lesson 01: Activity 02: Checkup: Practice Unit 03: Lesson 06: Activity 01: Study: Graphing Polynomials Unit 03: Lesson 06: Activity 02: Checkup: Practice Unit 03: Lesson 06: Activity 05: Study: The Stereo Problem Unit 03: Lesson 07: Activity 01: Practice: Assignment Unit 04: Lesson 03: Activity 01: Study: Factoring and Graphing Unit 04: Lesson 03: Activity 02: Checkup: Practice Unit 04: Lesson 05: Activity 01: Study: Factoring x2 + bx + c Unit 04: Lesson 05: Activity 02: Checkup: Practice Unit 04: Lesson 06: Activity 01: Study: Factoring ax2 + bx + c Unit 04: Lesson 06: Activity 02: Checkup: Practice Unit 04: Lesson 07: Activity 01: Study: Special Cases Unit 04: Lesson 07: Activity 02: Checkup: Practice Unit 04: Lesson 10: Activity 01: Study: The Quadratic Formula Unit 04: Lesson 10: Activity 02: Checkup: Practice 7.2, 7.4, 7.6, 7.7 5-1, 2 Unit 01: Lesson 06: Activity 01: Study: Parabolas Unit 01: Lesson 06: Activity 04: Checkup: Practice Unit 01: Lesson 09: Activity 01: Practice: Assignment Unit 03: Lesson 06: Activity 01: Study: The Quadratic Formula Unit 03: Lesson 06: Activity 02: Checkup: Practice
Unit 03: Lesson 07: Activity 01: Study: Graphs of Quadratic Functions Unit 03: Lesson 07: Activity 02: Checkup: Practice Unit 03: Lesson 08: Activity 03: Discuss: Getting to the Root of the Problem Unit 05: Lesson 01: Activity 01: Study: What Is a Polynomial? Unit 05: Lesson 01: Activity 02: Checkup: Practice 11.0 11.0 Students prove simple laws of logarithms. 5.1 to 5.8 9-3 11.1 11.2 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. Unit 03: Lesson 04: Activity 01: Study: Logarithmic Functions Unit 03: Lesson 04: Activity 02: Checkup: Practice Unit 03: Lesson 05: Activity 01: Study: Graphs of Logarithmic Functions Unit 03: Lesson 05: Activity 04: Checkup: Practice Unit 03: Lesson 06: Activity 01: Study: Properties of Exponents and Logarithms Unit 03: Lesson 06: Activity 02: Checkup: Practice Unit 03: Lesson 07: Activity 01: Study: Solving Exponential Equations Unit 03: Lesson 07: Activity 02: Checkup: Practice Unit 03: Lesson 08: Activity 01: Study: Solving Logarithmic Equations Unit 03: Lesson 08: Activity 03: Checkup: Practice Unit 03: Lesson 09: Activity 01: Practice: Assignment Unit 03: Lesson 09: Activity 03: Discuss: The Consequences of Exponential Growth Unit 01: Lesson 03: Activity 01: Study: Exponents Unit 01: Lesson 03: Activity 02: Checkup: Practice Unit 02: Lesson 06: Activity 01: Study: Rational Exponents Unit 02: Lesson 06: Activity 02: Checkup: Practice Unit 03: Lesson 04: Activity 01: Study: Logarithmic Functions Unit 03: Lesson 04: Activity 02: Checkup: Practice 5.1 to 5.8 9-2, 5 5.1 to 5.8 9-2
Unit 03: Lesson 05: Activity 01: Study: Graphs of Logarithmic Functions Unit 03: Lesson 05: Activity 04: Checkup: Practice Unit 03: Lesson 06: Activity 01: Study: Properties of Exponents and Logarithms Unit 03: Lesson 06: Activity 02: Checkup: Practice Unit 03: Lesson 07: Activity 01: Study: Solving Exponential Equations Unit 03: Lesson 07: Activity 02: Checkup: Practice Unit 03: Lesson 08: Activity 01: Study: Solving Logarithmic Equations Unit 03: Lesson 08: Activity 03: Checkup: Practice Unit 03: Lesson 09: Activity 03: Discuss: The Consequences of Exponential Growth Unit 01: Lesson 03: Activity 01: Study: Exponents Unit 01: Lesson 03: Activity 02: Checkup: Practice Unit 01: Lesson 07: Activity 01: Study: Solving with Roots and Powers Unit 01: Lesson 07: Activity 02: Checkup: Practice 12.0 12.0 Students know the laws of fractional exponents, understand exponential functions,, and use these functions in problems involving exponential growth and decay. Unit 02: Lesson 06: Activity 01: Study: Rational Exponents Unit 02: Lesson 06: Activity 02: Checkup: Practice Unit 02: Lesson 08: Activity 03: Discuss: Rooting out Squares and Cubes Unit 03: Lesson 01: Activity 01: Study: Exponential Functions Unit 03: Lesson 01: Activity 03: Checkup: Practice Unit 03: Lesson 02: Activity 01: Study: Examples and Applications of Exponential Functions Unit 03: Lesson 03: Activity 01: Study: Graphs of Exponential Functions Unit 03: Lesson 03: Activity 02: Checkup: Practice Unit 03: Lesson 04: Activity 01: Study: Logarithmic Functions Unit 03: Lesson 04: Activity 02: Checkup: Practice 5.1, 5.2, 5.4 7-6 9-1, 6
13.0 14.0 13.0 Students use the definition of logarithms to translate between logarithms in any base. 14.0 Students understand and use the properties of logarithms to simplify logarithmic numeric expressions and to identify their approximate values. Unit 03: Lesson 07: Activity 01: Study: Solving Exponential Equations Unit 03: Lesson 07: Activity 02: Checkup: Practice Unit 03: Lesson 08: Activity 01: Study: Solving Logarithmic Equations Unit 03: Lesson 08: Activity 03: Checkup: Practice Unit 03: Lesson 09: Activity 01: Practice: Assignment Unit 04: Lesson 03: Activity 01: Study: Geometric Sequences Unit 04: Lesson 03: Activity 02: Checkup: Practice Unit 03: Lesson 04: Activity 01: Study: Logarithmic Functions Unit 03: Lesson 04: Activity 02: Checkup: Practice Unit 03: Lesson 05: Activity 01: Study: Graphs of Logarithmic Functions Unit 03: Lesson 05: Activity 04: Checkup: Practice Unit 03: Lesson 06: Activity 01: Study: Properties of Exponents and Logarithms Unit 03: Lesson 06: Activity 02: Checkup: Practice Unit 03: Lesson 07: Activity 01: Study: Solving Exponential Equations Unit 03: Lesson 07: Activity 02: Checkup: Practice Unit 03: Lesson 08: Activity 01: Study: Solving Logarithmic Equations Unit 03: Lesson 08: Activity 03: Checkup: Practice Unit 03: Lesson 09: Activity 03: Discuss: The Consequences of Exponential Growth Unit 03: Lesson 04: Activity 01: Study: Logarithmic Functions Unit 03: Lesson 04: Activity 02: Checkup: Practice Unit 03: Lesson 05: Activity 01: Study: Graphs of Logarithmic Functions Unit 03: Lesson 05: Activity 04: Checkup: Practice Unit 03: Lesson 06: Activity 01: Study: Properties of Exponents and Logarithms Unit 03: Lesson 06: Activity 02: Checkup: Practice 5.6 9-4 5.6, 5.7 9-3
15.0 16.0 17.0 15.0 Students determine whether a specific algebraic statement involving rational expressions, radical expressions, or logarithmic or exponential functions is sometimes true, always true, or never true. 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. 17.0 Given a quadratic equation of the form ax2 + by2 + cx + dy + e = 0, student can use the method of completing the square to put the equation into standard form and can recognize whether the graph f the equation is a circle, ellipse, parabola, or hyperbola. Students can then graph the equation. Unit 03: Lesson 07: Activity 01: Study: Solving Exponential Equations Unit 03: Lesson 07: Activity 02: Checkup: Practice Unit 03: Lesson 08: Activity 01: Study: Solving Logarithmic Equations Unit 03: Lesson 08: Activity 03: Checkup: Practice Unit 03: Lesson 09: Activity 03: Discuss: The Consequences of Exponential Growth Unit 01: Lesson 03: Activity 01: Study: Circles Unit 01: Lesson 03: Activity 03: Checkup: Practice Unit 01: Lesson 04: Activity 01: Study: Ellipses Unit 01: Lesson 04: Activity 04: Checkup: Practice Unit 01: Lesson 05: Activity 01: Study: Hyperbolas Unit 01: Lesson 05: Activity 02: Checkup: Practice Unit 01: Lesson 06: Activity 01: Study: Parabolas Unit 01: Lesson 06: Activity 04: Checkup: Practice Unit 01: Lesson 07: Activity 01: Study: Nonlinear Systems of Equations Unit 01: Lesson 07: Activity 03: Checkup: Practice Unit 01: Lesson 08: Activity 01: Study: Nonlinear Inequalities Unit 01: Lesson 08: Activity 02: Checkup: Practice Unit 01: Lesson 09: Activity 01: Practice: Assignment Unit 01: Lesson 09: Activity 03: Discuss: Conic Sections in the Real World Unit 03: Lesson 08: Activity 01: Practice: Assignment Unit 01: Lesson 03: Activity 01: Study: Circles Unit 01: Lesson 03: Activity 03: Checkup: Practice Unit 01: Lesson 04: Activity 01: Study: Ellipses Unit 01: Lesson 04: Activity 04: Checkup: Practice Unit 01: Lesson 05: Activity 01: Study: Hyperbolas Unit 01: Lesson 05: Activity 02: Checkup: Practice 5.3, 5.4 9.6, 9.7 9.1, 9.2, 9.3, 9.4 9.5 7-4, 5, 7 8-1, 2 9-1, 5 10-2, 3, 4, 5 10-2, 3, 4, 5 10-6 10-6
Unit 01: Lesson 06: Activity 01: Study: Parabolas Unit 01: Lesson 06: Activity 04: Checkup: Practice Unit 01: Lesson 07: Activity 01: Study: Nonlinear Systems of Equations Unit 01: Lesson 07: Activity 03: Checkup: Practice Unit 01: Lesson 08: Activity 01: Study: Nonlinear Inequalities Unit 01: Lesson 08: Activity 02: Checkup: Practice Unit 01: Lesson 09: Activity 01: Practice: Assignment Unit 01: Lesson 09: Activity 03: Discuss: Conic Sections in the Real World Unit 03: Lesson 08: Activity 01: Practice: Assignment Geometry Core Unit 03: Lesson 10: Activity 01: Study: Circles Unit 03: Lesson 10: Activity 02: Checkup: Practice Unit 03: Lesson 11: Activity 01: Practice: Assignment Unit 05: Lesson 04: Activity 05: Study: Organizing What is Possible Unit 05: Lesson 05: Activity 01: Study: Counting Principles Unit 05: Lesson 05: Activity 02: Checkup: Practice Unit 05: Lesson 07: Activity 01: Practice: Assignment 18.0 19.0 18.0 Students use fundamental counting principles to compute the combinations and permutations. 19.0 Students use combinations and permutations to compute probabilities. Unit 05: Lesson 03: Activity 01: Study: Review of Basic Probability Unit 05: Lesson 03: Activity 02: Checkup: Practice Unit 05: Lesson 04: Activity 01: Study: Advanced Counting Principles Unit 05: Lesson 04: Activity 02: Study: Games of Skill and Chance Unit 05: Lesson 04: Activity 03: Checkup: Practice Unit 05: Lesson 06: Activity 01: Study: Data Gathering and Inferential Statistics Unit 05: Lesson 06: Activity 03: Checkup: Practice Unit 05: Lesson 10: Activity 01: Practice: Assignment 12.5, 12.6 12-1, 2 12.5, 12.6 12-3
Unit 05: Lesson 04: Activity 05: Study: Organizing What is Possible Unit 05: Lesson 05: Activity 01: Study: Counting Principles Unit 05: Lesson 05: Activity 02: Checkup: Practice Unit 05: Lesson 07: Activity 01: Practice: Assignment 20.0 21.0 22.0 23.0 24.0 20.0 Students know the binomial theorem and use it to expand binomial expressions that are raised to positive integer powers. 21.0 Students apply the method of mathematical induction to prove general statements about the positive integers. 22.0 Students find the general term and the sums of arithmetic series and of both finite and infinite geometric series. 23.0 Students derive the summation formulas for arithmetic series and for both finite and infinite geometric series. 24.0 Students solve problems involving functional concepts, such as composition, defining the inverse Unit 05: Lesson 04: Activity 01: Study: Advanced Counting Principles Unit 05: Lesson 04: Activity 02: Study: Games of Skill and Chance Unit 05: Lesson 04: Activity 03: Checkup: Practice Unit 05: Lesson 06: Activity 01: Study: Data Gathering and Inferential Statistics Unit 05: Lesson 06: Activity 03: Checkup: Practice Unit 05: Lesson 10: Activity 01: Practice: Assignment Unit 04: Lesson 04: Activity 05: Checkup: Practice Unit 04: Lesson 05: Activity 01: Study: Number Series Unit 04: Lesson 05: Activity 02: Checkup: Practice Unit 04: Lesson 06: Activity 01: Practice: Assignment Unit 04: Lesson 06: Activity 03: Discuss: Examining Sequences and Series (2 correlated activities) Unit 05: Lesson 03: Activity 01: Study: Numerical Analysis of Data Unit 05: Lesson 03: Activity 03: Checkup: Practice Unit 04: Lesson 05: Activity 01: Study: Number Series Unit 04: Lesson 05: Activity 02: Checkup: Practice Unit 04: Lesson 06: Activity 01: Practice: Assignment 12.7 11-7 11.1, 11.2, 11.3 4.2, 4.3, 4.8 5.5 Supplement if time allows 11-1, 2, 3, 4, 5 11-2, 4, 5 7-1, 2
function and performing arithmetic operations on functions. Unit 01: Lesson 02: Activity 01: Study: Fractions and Decimals Unit 01: Lesson 02: Activity 04: Checkup: Practice Unit 04: Lesson 03: Activity 05: Study: Solving the Profit Problem 25.0 25.0 Students use properties from number systems to justify steps in combining and simplifying functions. Unit 02: Lesson 04: Activity 01: Study: Composition of Functions Unit 02: Lesson 04: Activity 02: Checkup: Practice Unit 02: Lesson 05: Activity 01: Study: Solving with Composition Unit 02: Lesson 05: Activity 02: Checkup: Practice Unit 02: Lesson 06: Activity 01: Practice: Assignment Unit 02: Lesson 06: Activity 03: Discuss: Real-World Input-Output Machines Unit 04: Lesson 01: Activity 01: Study: Inverses Unit 04: Lesson 01: Activity 02: Checkup: Practice Unit 04: Lesson 02: Activity 01: Study: Graphs of Inverses Unit 04: Lesson 02: Activity 02: Checkup: Practice Unit 04: Lesson 05: Activity 01: Practice: Assignment Unit 04: Lesson 05: Activity 03: Discuss: The Power of Undoing or Shifting Functions Unit 01: Lesson 04: Activity 01: Study: Variables and Problem Solving Unit 01: Lesson 04: Activity 02: Checkup: Practice Unit 01: Lesson 05: Activity 01: Study: Solving with Addition and Subtraction Unit 01: Lesson 05: Activity 02: Checkup: Practice Unit 01: Lesson 06: Activity 01: Study: Solving with Multiplication and Division Unit 01: Lesson 06: Activity 03: Checkup: Practice Unit 01: Lesson 08: Activity 01: Study: Solving Multistep Linear Equations Unit 01: Lesson 08: Activity 02: Checkup: Practice Unit 01: Lesson 09: Activity 01: Practice: Assignment Unit 02: Lesson 06: Activity 01: Practice: Assignment Unit 04: Lesson 03: Activity 05: Study: Solving the Profit 4.2 1-2 7-1, 2
Problem Unit 01: Lesson 06: Activity 01: Study: Linear Inequalities Unit 01: Lesson 06: Activity 02: Checkup: Practice Unit 03: Lesson 02: Activity 01: Study: Adding and Subtracting Polynomials Unit 03: Lesson 02: Activity 02: Checkup: Practice Unit 03: Lesson 03: Activity 01: Study: Multiplying Binomials Unit 03: Lesson 03: Activity 02: Checkup: Practice Unit 03: Lesson 04: Activity 01: Study: Multiplying Polynomials Unit 03: Lesson 04: Activity 02: Checkup: Practice Unit 03: Lesson 05: Activity 01: Study: Dividing Polynomials Unit 03: Lesson 05: Activity 02: Checkup: Practice Unit 03: Lesson 06: Activity 05: Study: The Stereo Problem Unit 03: Lesson 07: Activity 01: Practice: Assignment Unit 04: Lesson 02: Activity 01: Study: Factoring with Tiles Unit 04: Lesson 02: Activity 02: Checkup: Practice Unit 04: Lesson 04: Activity 01: Study: Grouping Unit 04: Lesson 04: Activity 02: Checkup: Practice Unit 04: Lesson 05: Activity 01: Study: Factoring x2 + bx + c Unit 04: Lesson 05: Activity 02: Checkup: Practice Unit 04: Lesson 06: Activity 01: Study: Factoring ax2 + bx + c Unit 04: Lesson 06: Activity 02: Checkup: Practice Unit 04: Lesson 07: Activity 01: Study: Special Cases Unit 04: Lesson 07: Activity 02: Checkup: Practice Unit 02: Lesson 04: Activity 01: Study: Composition of Functions Unit 02: Lesson 04: Activity 02: Checkup: Practice Unit 02: Lesson 05: Activity 01: Study: Solving
Unit 05: Lesson 03: Activity 01: Study: Numerical Analysis of Data Unit 05: Lesson 03: Activity 03: Checkup: Practice Trig. Std. 1 Trig Std 3 Trig Std 10 Unit 05: Lesson 01: Activity 01: Study: Review of Graphical Analysis of Data Unit 05: Lesson 01: Activity 02: Checkup: Practice Unit 05: Lesson 02: Activity 01: Study: Review of Numerical Analysis of Data Unit 05: Lesson 02: Activity 02: Checkup: Practice Unit 05: Lesson 06: Activity 01: Study: Random Variables Unit 05: Lesson 10: Activity 01: Practice: Assignment Families of functions 8-3, 4, 5 Students understand the notion of angle and how to measure it, in both degrees and radians. They can convert between degrees and radians Students know the identity cos2 (x) + sin2 (x) = 1: 3.1 Students prove that this identity is equivalent to the Pythagorean theorem (i.e., students can prove this identity by using the Pythagorean theorem and, conversely, they can prove the Pythagorean theorem as a consequence of this identity). 3.2 Students prove other trigonometric identities and simplify others by using the identity cos2 (x) + sin2 (x) = 1. For example, students use this identity to prove that sec2 (x) = tan2 (x) + 1. Students demonstrate an understanding of the addition formulas for sines and cosines and their proofs and can use those formulas to prove and/ or Geometry Core Unit 02: Lesson 04: Activity 01: Study: More about Angles Unit 02: Lesson 04: Activity 02: Checkup: Practice Unit 02: Lesson 11: Activity 01: Practice: Assignment Unit 02: Lesson 04: Activity 01: Study: Circles and Angles Unit 02: Lesson 04: Activity 02: Checkup: Practice Unit 02: Lesson 05: Activity 01: Study: Secants and Tangents Unit 02: Lesson 05: Activity 02: Checkup: Practice Unit 02: Lesson 08: Activity 01: Study: Circles and Triangles Unit 02: Lesson 10: Activity 01: Practice: Assignment Honors Precalculus (15 correlated activities) Precalculus Core (15 correlated activities) Honors Precalculus (8 correlated activities) Precalculus Core (8 correlated activities) 10.1, 10.2 13-2 10.6 10.7
Trig Std 11 simplify other trigonometric identities Students demonstrate an understanding of half-angle and double-angle formulas for sines and cosines and can use those formulas to prove and/ or simplify other trigonometric identities. Honors Precalculus (8 correlated activities) Precalculus Core (8 correlated activities) Unit 05: Lesson 02: Activity 01: Study: Geometry with Coordinates Unit 05: Lesson 02: Activity 03: Practice: Graphing Tool 10.7 Trig Std 12 Trig Std 13 Trig Std 19 Students use trigonometry to determine unknown sides or angles of right triangles Students know the Law of Sines and Law of Cosines and apply those laws to solve problems. Students are adept at using trigonometry in a variety of applications and word problems. Geometry Core Unit 04: Lesson 02: Activity 01: Study: The Pythagorean Theorem Unit 04: Lesson 02: Activity 05: Checkup: Practice Unit 04: Lesson 05: Activity 01: Study: Special Right Triangles Unit 04: Lesson 05: Activity 02: Checkup: Practice Unit 04: Lesson 06: Activity 01: Study: Trigonometric Ratios Unit 04: Lesson 06: Activity 02: Checkup: Practice Unit 04: Lesson 07: Activity 01: Practice: Assignment Unit 04: Lesson 07: Activity 03: Discuss: A Closer Look at a Baseball Diamond Unit 01: Lesson 09: Activity 01: Study: Area and Perimeter of Polygons Unit 01: Lesson 09: Activity 03: Checkup: Practice Unit 01: Lesson 10: Activity 01: Practice: Assignment Unit 03: Lesson 03: Activity 01: Study: The Distance Formula Unit 03: Lesson 03: Activity 02: Checkup: Practice Unit 03: Lesson 11: Activity 01: Practice: Assignment Honors Precalculus (8 correlated activities) Precalculus Core (7 correlated activities) Honors Precalculus (13 correlated activities) Precalculus Core (13 correlated activities) 8.3, 10.3, 10.4 8.6, 8.7 8.4, 10.3, 10.4, 10.5 13-1 13