CA Standard 1.0 2.0 DWA Standard 1.0 Students solve equations and inequalities involving absolute value. 2.0 Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with graphs, or with matrices. APEX Introductory Algebra Core Semester 2: Unit 03: Lesson 01: Activity 01: Unit 03: Lesson 01: Activity 02: Problems Unit 03: Lesson 04: Activity 01: Absolute Value Unit 03: Lesson 04: Activity 02: Problems Unit 03: Lesson 08: Activity 01: Key Glencoe 4.6 and supplement 1-4, 5, 6 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 Study: Solving |x| = b Checkup: Practice Study: Inequalities and Checkup: Practice Practice: Assignment Algebra I Core Semester 1: Unit 01: Lesson 07: Activity 01: Study: Solving with Roots and Powers Unit 01: Lesson 07: Activity 02: Checkup: Practice Problems Algebra I Core Semester 1: Unit 01: Lesson 08: Activity 01: Study: Solving Multistep Linear Equations Unit 01: Lesson 08: Activity 02: Checkup: Practice Problems Semester 2: 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 Problems Unit 02: Lesson 02: Activity 01: Study: Two-Variable Systems: Substitution Unit 02: Lesson 02: Activity 02: Checkup: Practice Problems Unit 02: Lesson 03: Activity 01: Study: Two-Variable Systems: Elimination Unit 02: Lesson 03: Activity 02: Checkup: Practice Problems Unit 02: Lesson 04: Activity 01: Study: Two-Variable Systems: Matrices Unit 02: Lesson 04: Activity 02: Checkup: Practice Problems 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 Problems Unit 02: Lesson 07: Systems: Matrices Unit 02: Lesson 07: Problems Unit 02: Lesson 08: Unit 02: Lesson 08: Solution? 3.0 3.0 Students are adept at operations on polynomials, including long division. Activity 01: Study: Three-Variable Activity 02: Checkup: Practice Activity 01: Practice: Assignment Activity 03: Discuss: What's the Algebra II Core Semester 1: Unit 01: Lesson 08: Activity Inequalities Unit 01: Lesson 08: Activity Problems Unit 01: Lesson 09: Activity Unit 02: Lesson 01: Activity Outputs? Algebra I Core Semester 2: Unit 03: Lesson 02: Activity Subtracting Polynomials Unit 03: Lesson 02: Activity Problems Unit 03: Lesson 03: Activity Binomials Unit 03: Lesson 03: Activity Problems Unit 03: Lesson 04: Activity Polynomials Unit 03: Lesson 04: Activity Problems Unit 03: Lesson 05: Activity Polynomials Unit 03: Lesson 05: Activity Problems Unit 03: Lesson 06: Activity Problem Unit 03: Lesson 07: Activity Unit 03: Lesson 07: Activity Positive in the Real World Unit 04: Lesson 02: Activity Tiles Unit 04: Lesson 02: Activity Problems 01: Study: Nonlinear 02: Checkup: Practice 01: Practice: Assignment 01: Study: How Many 01: Study: Adding and 02: Checkup: Practice 01: Study: Multiplying 02: Checkup: Practice 01: Study: Multiplying 02: Checkup: Practice 01: Study: Dividing 02: Checkup: Practice 05: Study: The Stereo 01: Practice: Assignment 03: Discuss: Thinking 01: Study: Factoring with 02: Checkup: Practice Algebra II Core (12 correlated activities) Semester 1: Unit 05: Lesson 04: Activity 01: Study: Synthetic Division Unit 05: Lesson 04: Activity 02: Checkup: Practice Problems 7.8 6-1, 2, 3 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 Problems Unit 05: Lesson 06: Activity 01: Practice: Assignment Unit 05: Lesson 06: Activity 03: Discuss: Final Thoughts on Polynomials Semester 2: Unit 01: Lesson 04: Activity 01: Study: Multiplying and Dividing Rational Expressions Unit 01: Lesson 04: Activity 02: Checkup: Practice Problems Unit 02: Lesson 02: Activity 01: Study: Multiplying and Dividing Radicals Unit 02: Lesson 02: Activity 03: Checkup: Practice Problems Unit 02: Lesson 03: Activity 01: Study: Adding and Subtracting Radicals Unit 02: Lesson 03: Activity 02: Checkup: Practice Problems Algebra I Core (10 correlated activities) Semester 2: Unit 03: Lesson 03: Activity 01: Study: Multiplying Binomials Unit 03: Lesson 03: Activity 02: Checkup: Practice Problems Unit 04: Lesson 03: Activity 01: Study: Factoring and Graphing Unit 04: Lesson 03: Activity 02: Checkup: Practice Problems Unit 04: Lesson 07: Activity 01: Study: Special Cases Unit 04: Lesson 07: Activity 02: Checkup: Practice Problems Unit 04: Lesson 08: Activity 01: Study: Solving Quadratic Equations Unit 04: Lesson 08: Activity 02: Checkup: Practice Problems Unit 04: Lesson 09: Activity 01: Study: Completing the Square Unit 04: Lesson 09: Activity 02: Checkup: Practice Problems Algebra II Core Semester 1: Unit 03: Lesson 03: Unit 03: Lesson 03: Problems Unit 03: Lesson 08: Unit 05: Lesson 02: (Reviewed) Unit 05: Lesson 02: Activity 01: Study: Special Cases Activity 02: Checkup: Practice Activity 01: Practice: Assignment Activity 01: Study: Factoring Activity 02: Checkup: Practice 7.6, 7.7 & supplement Factoring Cubes 6-4 Supplement to give extra practice Problems Unit 05: Lesson 06: Activity 01: Practice: Assignment Algebra I Core Semester 2: Unit 04: Lesson 10: Activity 01: Study: The Quadratic Formula Semester 2: Unit 04: Lesson 10: Activity 02: Checkup: Practice Problems Semester 2: 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. 6.0 6.0 Students add, subtract, multiply, and divide complex numbers. 7.0 7.0 Students add, subtract, multiply, divide, reduce, and Algebra II Core Semester 1: Unit 03: Lesson 06: Activity Formula Unit 03: Lesson 06: Activity Problems Unit 05: Lesson 02: Activity (Reviewed) Unit 05: Lesson 02: Activity Problems Unit 05: Lesson 05: Activity Polynomials Completely Unit 05: Lesson 05: Activity Problems Unit 05: Lesson 06: Activity Unit 05: Lesson 06: Activity on Polynomials Semester 2: Unit 02: Lesson 07: Activity Numbers Unit 02: Lesson 07: Activity Problems Unit 02: Lesson 08: Activity Unit 02: Lesson 08: Activity Squares and Cubes Algebra I Core Semester 2: Unit 04: Lesson 11: Activity Group 01: Study: The Quadratic 02: Checkup: Practice 01: Study: Factoring 02: Checkup: Practice 7.5 5-4 7.5 5-4 5.3, 5.4 8-1, 2, 6 01: Study: Factoring 02: Checkup: Practice 01: Practice: Assignment 03: Discuss: Final Thoughts 01: Study: Complex 02: Checkup: Practice 01: Practice: Assignment 03: Discuss: Rooting out 03: Discuss: Being Part of a Algebra II Core Semester 1: Unit 05: Lesson 06: Activity 01: Practice: Assignment Semester 2: Unit 02: Lesson 07: Activity 01: Study: Complex Numbers Unit 02: Lesson 07: Activity 02: Checkup: Practice Problems Unit 02: Lesson 08: Activity 01: Practice: Assignment Algebra I Core evaluate rational expressions with monomial and polynomial denominators and simplify complicated rational expressions, including those with negative exponents in the denominator. 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. Semester 2: Unit 03: Lesson 05: Activity 01: Study: Dividing Polynomials Unit 03: Lesson 05: Activity 02: Checkup: Practice Problems Algebra II Core Semester 1: Unit 05: Lesson 04: Activity 01: Study: Synthetic Division Unit 05: Lesson 04: Activity 02: Checkup: Practice Problems Unit 01: Lesson 03: Activity 01: Study: Simplifying Rational Expressions Unit 01: Lesson 03: Activity 02: Checkup: Practice Problems Unit 01: Lesson 04: Activity 01: Study: Multiplying and Dividing Rational Expressions Unit 01: Lesson 04: Activity 02: Checkup: Practice Problems Unit 01: Lesson 11: Activity 01: Practice: Assignment Algebra I Core Semester 2: Unit 03: Lesson 06: Activity 01: Study: Graphing Polynomials Unit 03: Lesson 06: Activity 02: Checkup: Practice Problems 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 Problems Unit 04: Lesson 03: Activity 01: Study: Factoring and Graphing Unit 04: Lesson 03: Activity 02: Checkup: Practice Problems Unit 04: Lesson 05: Activity 01: Study: Factoring x2 + bx + c Unit 04: Lesson 05: Activity 02: Checkup: Practice Problems Unit 04: Lesson 06: Activity 01: Study: Factoring ax2 + bx + c Unit 04: Lesson 06: Activity 02: Checkup: Practice Problems Unit 04: Lesson 07: Activity 01: Study: Special Cases Unit 04: Lesson 07: Activity 02: Checkup: Practice Problems Unit 04: Lesson 08: Activity 01: Study: Solving Quadratic Equations Unit 04: Lesson 08: Activity 02: Checkup: Practice 9.6, 9.7, 9.8 7.3, 7.4 Ch 5 Problems Unit 04: Lesson Square Unit 04: Lesson Problems Unit 04: Lesson Formula Unit 04: Lesson Problems Unit 04: Lesson 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. 09: Activity 01: Study: Completing the 09: Activity 02: Checkup: Practice 10: Activity 01: Study: The Quadratic 10: Activity 02: Checkup: Practice 11: Activity 01: Practice: Assignment Algebra II Core Semester 1: Unit 01: Lesson 06: Activity Unit 01: Lesson 06: Activity Problems Unit 01: Lesson 09: Activity Unit 03: Lesson 04: Activity Equations Unit 03: Lesson 04: Activity Problems Unit 03: Lesson 05: Activity Square Unit 03: Lesson 05: Activity Problems Unit 03: Lesson 06: Activity Formula Unit 03: Lesson 06: Activity Problems Unit 03: Lesson 07: Activity Quadratic Functions Unit 03: Lesson 07: Activity Problems Unit 03: Lesson 08: Activity Unit 03: Lesson 08: Activity Root of the Problem Unit 05: Lesson 01: Activity Polynomial? Unit 05: Lesson 01: Activity Problems Unit 05: Lesson 02: Activity (Reviewed) Unit 05: Lesson 02: Activity Problems Algebra II Core Semester 1: Unit 01: Lesson 06: Activity Unit 01: Lesson 06: Activity Problems Unit 01: Lesson 09: Activity Unit 04: Lesson 03: Activity 01: Study: Parabolas 04: Checkup: Practice 01: Practice: Assignment 01: Study: Solving Quadratic 02: Checkup: Practice 01: Study: Completing the 02: Checkup: Practice 01: Study: The Quadratic 02: Checkup: Practice 01: Study: Graphs of 02: Checkup: Practice 01: Practice: Assignment 03: Discuss: Getting to the 01: Study: What Is a 02: Checkup: Practice 01: Study: Factoring 02: Checkup: Practice 01: Study: Parabolas 04: Checkup: Practice 01: Practice: Assignment 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: Problems Unit 04: Lesson 04: Functions Vertically Unit 04: Lesson 04: Problems Unit 04: Lesson 05: Unit 05: Lesson 01: Polynomial? Unit 05: Lesson 01: Problems Algebra I Core Semester 2: Unit 03: Lesson 06: Polynomials Unit 03: Lesson 06: Problems Unit 03: Lesson 06: Problem Unit 03: Lesson 07: Unit 04: Lesson 03: Graphing Unit 04: Lesson 03: Problems Unit 04: Lesson 05: bx + c Unit 04: Lesson 05: Problems Unit 04: Lesson 06: bx + c Unit 04: Lesson 06: Problems Unit 04: Lesson 07: Unit 04: Lesson 07: Problems Unit 04: Lesson 10: Formula Unit 04: Lesson 10: Problems Activity 02: Checkup: Practice Activity 01: Study: Stretching Activity 02: Checkup: Practice Activity 01: Practice: Assignment Activity 01: Study: What Is a Activity 02: Checkup: Practice Activity 01: Study: Graphing Activity 02: Checkup: Practice Activity 05: Study: The Stereo Activity 01: Practice: Assignment Activity 01: Study: Factoring and Activity 02: Checkup: Practice Activity 01: Study: Factoring x2 + Activity 02: Checkup: Practice Activity 01: Study: Factoring ax2 + Activity 02: Checkup: Practice Activity 01: Study: Special Cases Activity 02: Checkup: Practice Activity 01: Study: The Quadratic Activity 02: Checkup: Practice Algebra II Core Semester 1: Unit 01: Lesson 06: Activity 01: Study: Parabolas Unit 01: Lesson 06: Activity 04: Checkup: Practice Problems 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 Problems 7.2, 7.4, 7.6, 7.7 5-1, 2 Unit 03: Lesson 07: Activity Quadratic Functions Unit 03: Lesson 07: Activity Problems Unit 03: Lesson 08: Activity Root of the Problem Unit 05: Lesson 01: Activity Polynomial? Unit 05: Lesson 01: Activity Problems 11.0 01: Study: Graphs of 02: Checkup: Practice 03: Discuss: Getting to the 01: Study: What Is a 02: Checkup: Practice 11.0 Students prove simple laws of logarithms. 11.1 11.1 Students understand the inverse relationship between exponents and logarithms, and use this relationship to solve problems involving logarithms and exponents. 11.2 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. 5.1 to 5.8 Algebra II Core Semester 2: Unit 03: Lesson 04: Activity 01: Study: Logarithmic Functions Unit 03: Lesson 04: Activity 02: Checkup: Practice Problems Unit 03: Lesson 05: Activity 01: Study: Graphs of Logarithmic Functions Unit 03: Lesson 05: Activity 04: Checkup: Practice Problems Unit 03: Lesson 06: Activity 01: Study: Properties of Exponents and Logarithms Unit 03: Lesson 06: Activity 02: Checkup: Practice Problems Unit 03: Lesson 07: Activity 01: Study: Solving Exponential Equations Unit 03: Lesson 07: Activity 02: Checkup: Practice Problems Unit 03: Lesson 08: Activity 01: Study: Solving Logarithmic Equations Unit 03: Lesson 08: Activity 03: Checkup: Practice Problems Unit 03: Lesson 09: Activity 01: Practice: Assignment Unit 03: Lesson 09: Activity 03: Discuss: The Consequences of Exponential Growth Algebra I Core Semester 1: Unit 01: Lesson 03: Activity 01: Study: Exponents Unit 01: Lesson 03: Activity 02: Checkup: Practice Problems Algebra II Core Semester 2: Unit 02: Lesson 06: Exponents Unit 02: Lesson 06: Problems Unit 03: Lesson 04: Functions Unit 03: Lesson 04: 5.1 to 5.8 5.1 to 5.8 Activity 01: Study: Rational Activity 02: Checkup: Practice Activity 01: Study: Logarithmic Activity 02: Checkup: Practice 9-3 9-2, 5 9-2 Problems Unit 03: Lesson 05: Activity 01: Study: Graphs of Logarithmic Functions Unit 03: Lesson 05: Activity 04: Checkup: Practice Problems Unit 03: Lesson 06: Activity 01: Study: Properties of Exponents and Logarithms Semester 2: Unit 03: Lesson 06: Activity 02: Checkup: Practice Problems Unit 03: Lesson 07: Activity 01: Study: Solving Exponential Equations Unit 03: Lesson 07: Activity 02: Checkup: Practice Problems Unit 03: Lesson 08: Activity 01: Study: Solving Logarithmic Equations Unit 03: Lesson 08: Activity 03: Checkup: Practice Problems Unit 03: Lesson 09: Activity 03: Discuss: The Consequences of Exponential Growth Algebra I Core Semester 1: Unit 01: Lesson 03: Activity 01: Study: Exponents Unit 01: Lesson 03: Activity 02: Checkup: Practice Problems Unit 01: Lesson 07: Activity 01: Study: Solving with Roots and Powers Unit 01: Lesson 07: Activity 02: Checkup: Practice Problems 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. Algebra II Core Semester 2: Unit 02: Lesson 06: Activity 01: Study: Rational Exponents Unit 02: Lesson 06: Activity 02: Checkup: Practice Problems 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 Problems 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 Problems Unit 03: Lesson 04: Activity 01: Study: Logarithmic Functions Unit 03: Lesson 04: Activity 02: Checkup: Practice Problems 5.1, 5.2, 5.4 7-6 9-1, 6 13.0 13.0 Students use the definition of logarithms to translate between logarithms in any base. 14.0 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 Problems Unit 03: Lesson 08: Activity 01: Study: Solving Logarithmic Equations Unit 03: Lesson 08: Activity 03: Checkup: Practice Problems 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 Problems Algebra II Core Semester 2: Unit 03: Lesson 04: Activity 01: Study: Logarithmic Functions Unit 03: Lesson 04: Activity 02: Checkup: Practice Problems Unit 03: Lesson 05: Activity 01: Study: Graphs of Logarithmic Functions Unit 03: Lesson 05: Activity 04: Checkup: Practice Problems Unit 03: Lesson 06: Activity 01: Study: Properties of Exponents and Logarithms Unit 03: Lesson 06: Activity 02: Checkup: Practice Problems Unit 03: Lesson 07: Activity 01: Study: Solving Exponential Equations Unit 03: Lesson 07: Activity 02: Checkup: Practice Problems Unit 03: Lesson 08: Activity 01: Study: Solving Logarithmic Equations Unit 03: Lesson 08: Activity 03: Checkup: Practice Problems Unit 03: Lesson 09: Activity 03: Discuss: The Consequences of Exponential Growth Algebra II Core Semester 2: Unit 03: Lesson 04: Activity 01: Study: Logarithmic Functions Unit 03: Lesson 04: Activity 02: Checkup: Practice Problems Unit 03: Lesson 05: Activity 01: Study: Graphs of Logarithmic Functions Unit 03: Lesson 05: Activity 04: Checkup: Practice Problems Unit 03: Lesson 06: Activity 01: Study: Properties of Exponents and Logarithms Unit 03: Lesson 06: Activity 02: Checkup: Practice Problems 5.6 9-4 5.6, 5.7 9-3 Unit 03: Lesson 07: Activity 01: Study: Solving Exponential Equations Unit 03: Lesson 07: Activity 02: Checkup: Practice Problems Unit 03: Lesson 08: Activity 01: Study: Solving Logarithmic Equations Unit 03: Lesson 08: Activity 03: Checkup: Practice Problems Unit 03: Lesson 09: Activity 03: Discuss: The Consequences of Exponential Growth 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. Algebra II Core Semester 1: Unit 01: Lesson 03: Activity Unit 01: Lesson 03: Activity Problems Unit 01: Lesson 04: Activity Unit 01: Lesson 04: Activity Problems Unit 01: Lesson 05: Activity Unit 01: Lesson 05: Activity Problems Unit 01: Lesson 06: Activity Unit 01: Lesson 06: Activity Problems Unit 01: Lesson 07: Activity Systems of Equations Unit 01: Lesson 07: Activity Problems Unit 01: Lesson 08: Activity Inequalities Unit 01: Lesson 08: Activity Problems Unit 01: Lesson 09: Activity Unit 01: Lesson 09: Activity in the Real World Unit 03: Lesson 08: Activity Algebra II Core Semester 1: Unit 01: Lesson 03: Activity Unit 01: Lesson 03: Activity Problems Unit 01: Lesson 04: Activity Unit 01: Lesson 04: Activity Problems Unit 01: Lesson 05: Activity Unit 01: Lesson 05: Activity Problems 5.3, 5.4 9.6, 9.7 7-4, 5, 7 8-1, 2 9-1, 5 9.1, 9.2, 9.3, 9.4 10-2, 3, 4, 5 10-2, 3, 4, 5 9.5 10-6 10-6 01: Study: Circles 03: Checkup: Practice 01: Study: Ellipses 04: Checkup: Practice 01: Study: Hyperbolas 02: Checkup: Practice 01: Study: Parabolas 04: Checkup: Practice 01: Study: Nonlinear 03: Checkup: Practice 01: Study: Nonlinear 02: Checkup: Practice 01: Practice: Assignment 03: Discuss: Conic Sections 01: Practice: Assignment 01: Study: Circles 03: Checkup: Practice 01: Study: Ellipses 04: Checkup: Practice 01: Study: Hyperbolas 02: Checkup: Practice Unit 01: Lesson 06: Activity Unit 01: Lesson 06: Activity Problems Unit 01: Lesson 07: Activity Systems of Equations Unit 01: Lesson 07: Activity Problems Unit 01: Lesson 08: Activity Inequalities Unit 01: Lesson 08: Activity Problems Unit 01: Lesson 09: Activity Unit 01: Lesson 09: Activity in the Real World Unit 03: Lesson 08: Activity Geometry Core Semester 2: Unit 03: Lesson 10: Unit 03: Lesson 10: Problems Unit 03: Lesson 11: Algebra I Core Semester 2: Unit 05: Lesson 04: is Possible Unit 05: Lesson 05: Principles Unit 05: Lesson 05: Problems Unit 05: Lesson 07: 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. 01: Study: Parabolas 04: Checkup: Practice 01: Study: Nonlinear 03: Checkup: Practice 01: Study: Nonlinear 02: Checkup: Practice 01: Practice: Assignment 03: Discuss: Conic Sections 01: Practice: Assignment Activity 01: Study: Circles Activity 02: Checkup: Practice Activity 01: Practice: Assignment Activity 05: Study: Organizing What Activity 01: Study: Counting Activity 02: Checkup: Practice Activity 01: Practice: Assignment Algebra II Core Semester 2: Unit 05: Lesson 03: Activity Probability Unit 05: Lesson 03: Activity Problems Unit 05: Lesson 04: Activity Counting Principles Unit 05: Lesson 04: Activity and Chance Unit 05: Lesson 04: Activity Problems Unit 05: Lesson 06: Activity and Inferential Statistics Unit 05: Lesson 06: Activity Problems Unit 05: Lesson 10: Activity Algebra I Core Semester 2: 01: Study: Review of Basic 12.5, 12.6 12-1, 2 12.5, 12.6 12-3 02: Checkup: Practice 01: Study: Advanced 02: Study: Games of Skill 03: Checkup: Practice 01: Study: Data Gathering 03: Checkup: Practice 01: Practice: Assignment Unit 05: Lesson is Possible Unit 05: Lesson Principles Unit 05: Lesson Problems Unit 05: Lesson 20.0 20.0 Students know the binomial theorem and use it to expand binomial expressions that are raised to positive integer powers. 21.0 21.0 Students apply the method of mathematical induction to prove general statements about the positive integers. 22.0 22.0 Students find the general term and the sums of arithmetic series and of both finite and infinite geometric series. 23.0 23.0 Students derive the summation formulas for arithmetic series and for both finite and infinite geometric series. 24.0 24.0 Students solve problems involving functional concepts, such as composition, defining the inverse 04: Activity 05: Study: Organizing What 05: Activity 01: Study: Counting 05: Activity 02: Checkup: Practice 07: Activity 01: Practice: Assignment Algebra II Core Semester 2: Unit 05: Lesson 04: Activity Counting Principles Unit 05: Lesson 04: Activity and Chance Unit 05: Lesson 04: Activity Problems Unit 05: Lesson 06: Activity and Inferential Statistics Unit 05: Lesson 06: Activity Problems Unit 05: Lesson 10: Activity Algebra II Core Semester 2: Unit 04: Lesson 04: Activity Problems 01: Study: Advanced 02: Study: Games of Skill 03: Checkup: Practice 01: Study: Data Gathering 03: Checkup: Practice 01: Practice: Assignment 05: Checkup: Practice 12.7 11-7 Supplement if time allows Algebra II Core Semester 2: Unit 04: Lesson 05: Activity 01: Study: Number Series Unit 04: Lesson 05: Activity 02: Checkup: Practice Problems Unit 04: Lesson 06: Activity 01: Practice: Assignment Unit 04: Lesson 06: Activity 03: Discuss: Examining Sequences and Series Algebra I Core (2 correlated activities) Semester 2: Unit 05: Lesson 03: Activity 01: Study: Numerical Analysis of Data Unit 05: Lesson 03: Activity 03: Checkup: Practice Problems Algebra II Core Semester 2: Unit 04: Lesson 05: Activity 01: Study: Number Series Unit 04: Lesson 05: Activity 02: Checkup: Practice Problems Unit 04: Lesson 06: Activity 01: Practice: Assignment Algebra I Core Semester 1: 11.1, 11.2, 11.3 11-1, 2, 3, 4, 5 11-2, 4, 5 4.2, 4.3, 4.8 5.5 7-1, 2 function and performing arithmetic operations on functions. 25.0 25.0 Students use properties from number systems to justify steps in combining and simplifying functions. Unit 01: Lesson 02: Activity 01: Study: Fractions and Decimals Unit 01: Lesson 02: Activity 04: Checkup: Practice Problems Unit 04: Lesson 03: Activity 05: Study: Solving the Profit Problem Algebra II Core Semester 1: Unit 02: Lesson 04: Activity 01: Functions Unit 02: Lesson 04: Activity 02: Problems Unit 02: Lesson 05: Activity 01: with Composition Unit 02: Lesson 05: Activity 02: Problems Unit 02: Lesson 06: Activity 01: Unit 02: Lesson 06: Activity 03: Input-Output Machines Unit 04: Lesson 01: Activity 01: Unit 04: Lesson 01: Activity 02: Problems Unit 04: Lesson 02: Activity 01: Inverses Unit 04: Lesson 02: Activity 02: Problems Unit 04: Lesson 05: Activity 01: Unit 04: Lesson 05: Activity 03: Undoing or Shifting Functions Algebra I Core Semester 1: Unit 01: Lesson 04: Activity 01: Problem Solving Unit 01: Lesson 04: Activity 02: Problems Unit 01: Lesson 05: Activity 01: Addition and Subtraction Unit 01: Lesson 05: Activity 02: Problems Unit 01: Lesson 06: Activity 01: Multiplication and Division Unit 01: Lesson 06: Activity 03: Problems Unit 01: Lesson 08: Activity 01: Linear Equations Unit 01: Lesson 08: Activity 02: Problems Unit 01: Lesson 09: Activity 01: Unit 02: Lesson 06: Activity 01: Unit 04: Lesson 03: Activity 05: Study: Composition of Checkup: Practice Study: Solving Problems Checkup: Practice Practice: Assignment Discuss: Real-World Study: Inverses Checkup: Practice Study: Graphs of Checkup: Practice Practice: Assignment Discuss: The Power of Study: Variables and Checkup: Practice Study: Solving with Checkup: Practice Study: Solving with Checkup: Practice Study: Solving Multistep Checkup: Practice Practice: Assignment Practice: Assignment Study: Solving the Profit 4.2 1-2 7-1, 2 Problem Semester 2: Unit 01: Lesson 06: Activity Inequalities Unit 01: Lesson 06: Activity Problems Unit 03: Lesson 02: Activity Subtracting Polynomials Unit 03: Lesson 02: Activity Problems Unit 03: Lesson 03: Activity Binomials Unit 03: Lesson 03: Activity Problems Unit 03: Lesson 04: Activity Polynomials Unit 03: Lesson 04: Activity Problems Unit 03: Lesson 05: Activity Polynomials Unit 03: Lesson 05: Activity Problems Unit 03: Lesson 06: Activity Problem Unit 03: Lesson 07: Activity Unit 04: Lesson 02: Activity Tiles Unit 04: Lesson 02: Activity Problems Unit 04: Lesson 04: Activity Unit 04: Lesson 04: Activity Problems Unit 04: Lesson 05: Activity bx + c Unit 04: Lesson 05: Activity Problems Unit 04: Lesson 06: Activity bx + c Unit 04: Lesson 06: Activity Problems Unit 04: Lesson 07: Activity Unit 04: Lesson 07: Activity Problems 01: Study: Linear 02: Checkup: Practice 01: Study: Adding and 02: Checkup: Practice 01: Study: Multiplying 02: Checkup: Practice 01: Study: Multiplying 02: Checkup: Practice 01: Study: Dividing 02: Checkup: Practice 05: Study: The Stereo 01: Practice: Assignment 01: Study: Factoring with 02: Checkup: Practice 01: Study: Grouping 02: Checkup: Practice 01: Study: Factoring x2 + 02: Checkup: Practice 01: Study: Factoring ax2 + 02: Checkup: Practice 01: Study: Special Cases 02: Checkup: Practice Algebra II Core Semester 1: Unit 02: Lesson 04: Activity 01: Study: Composition of Functions Unit 02: Lesson 04: Activity 02: Checkup: Practice Problems Unit 02: Lesson 05: Activity 01: Study: Solving Problems PS 1 PS 2 PS 7 PS 1 Students know the definition of the notion of independent events and can use the rules of addition, multiplication, and complementation to solve for probabilities of particular events in finite sample spaces PS 2 Students know the definition of conditional probability and use it to solve for probabilities in finite sample spaces. PS 7 Students compute the variance and the standard deviation of a distribution of data with Composition Unit 02: Lesson 05: Activity Problems Unit 02: Lesson 06: Activity Unit 02: Lesson 06: Activity Input-Output Machines Algebra I Core Semester 2: Unit 05: Lesson 03: Activity Analysis of Data Unit 05: Lesson 03: Activity Problems Unit 05: Lesson 04: Activity Probability? Unit 05: Lesson 04: Activity Problems Unit 05: Lesson 04: Activity is Possible Unit 05: Lesson 06: Activity Probability Unit 05: Lesson 06: Activity Problems Unit 05: Lesson 07: Activity Algebra II Core Semester 2: Unit 05: Lesson 04: Activity Compound Probability Unit 05: Lesson 05: Activity Problems Unit 05: Lesson 06: Activity and Inferential Statistics Unit 05: Lesson 06: Activity Problems Unit 05: Lesson 10: Activity Algebra II Core Semester 2: Unit 05: Lesson 04: Activity Compound Probability Unit 05: Lesson 05: Activity Problems Unit 05: Lesson 06: Activity and Inferential Statistics Unit 05: Lesson 06: Activity Problems Algebra I Core Semester 2: Unit 05: Lesson 02: Activity Analysis of Data Unit 05: Lesson 02: Activity Problems 02: Checkup: Practice 01: Practice: Assignment 03: Discuss: Real-World 01: Study: Numerical 03: Checkup: Practice 01: Study: What Is 02: Checkup: Practice 05: Study: Organizing What 01: Study: Basic Rules of 02: Checkup: Practice 12.1-4 12-4, 5 12.1-4 12-4 13.1-2 12-6 01: Practice: Assignment 01: Study: Conditional and 02: Checkup: Practice 01: Study: Data Gathering 03: Checkup: Practice 01: Practice: Assignment 01: Study: Conditional and 02: Checkup: Practice 01: Study: Data Gathering 03: Checkup: Practice 01: Study: Graphical 02: Checkup: Practice Unit 05: Lesson 03: Activity 01: Study: Numerical Analysis of Data Unit 05: Lesson 03: Activity 03: Checkup: Practice Problems Algebra II Core Semester 2: Unit 05: Lesson 01: Activity Graphical Analysis of Data Unit 05: Lesson 01: Activity Problems Unit 05: Lesson 02: Activity Numerical Analysis of Data Unit 05: Lesson 02: Activity Problems Unit 05: Lesson 06: Activity Variables Unit 05: Lesson 10: Activity 01: Study: Review of 02: Checkup: Practice 01: Study: Review of 02: Checkup: Practice 01: Study: Random 01: Practice: Assignment Families of functions Trig. Std. 1 Trig Std 3 Trig Std 10 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 8-3, 4, 5 Geometry Core Semester 1: Unit 02: Lesson 04: Angles Unit 02: Lesson 04: Problems Unit 02: Lesson 11: Semester 2: Unit 02: Lesson 04: Angles Unit 02: Lesson 04: Problems Unit 02: Lesson 05: Tangents Unit 02: Lesson 05: Problems Unit 02: Lesson 08: Triangles Unit 02: Lesson 10: Activity 01: Study: More about Activity 02: Checkup: Practice Activity 01: Practice: Assignment Activity 01: Study: Circles and 10.1, 10.2 Activity 02: Checkup: Practice Activity 01: Study: Secants and Activity 02: Checkup: Practice Activity 01: Study: Circles and Activity 01: Practice: Assignment Honors Precalculus (15 correlated activities) Precalculus Core (15 correlated activities) 10.6 Honors Precalculus (8 correlated activities) Precalculus Core (8 correlated activities) 10.7 13-2 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) 10.7 Algebra I Core Semester 1: Unit 05: Lesson 02: Activity 01: Study: Geometry with Coordinates Unit 05: Lesson 02: Activity 03: Practice: Graphing Tool Trig Std 12 Students use trigonometry to determine unknown sides or angles of right triangles Trig Std 13 Trig Std 19 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 Semester 1: Unit 04: Lesson 02: Activity 01: Study: The Pythagorean Theorem Semester 1: Unit 04: Lesson 02: Activity 05: Checkup: Practice Problems Semester 1: Unit 04: Lesson 05: Activity 01: Study: Special Right Triangles Semester 1: Unit 04: Lesson 05: Activity 02: Checkup: Practice Problems Semester 1: Unit 04: Lesson 06: Activity 01: Study: Trigonometric Ratios Semester 1: Unit 04: Lesson 06: Activity 02: Checkup: Practice Problems Semester 1: Unit 04: Lesson 07: Activity 01: Practice: Assignment Semester 1: Unit 04: Lesson 07: Activity 03: Discuss: A Closer Look at a Baseball Diamond Semester 2: Unit 01: Lesson 09: Activity 01: Study: Area and Perimeter of Polygons Semester 2: Unit 01: Lesson 09: Activity 03: Checkup: Practice Problems Semester 2: Unit 01: Lesson 10: Activity 01: Practice: Assignment Semester 2: Unit 03: Lesson 03: Activity 01: Study: The Distance Formula Semester 2: Unit 03: Lesson 03: Activity 02: Checkup: Practice Problems Semester 2: 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 13-1 8.6, 8.7 8.4, 10.3, 10.4, 10.5 13
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