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Course: Algebra II Standard Number CCSS.Math.Content.HSN-RN.A.1 CCSS.Math.Content.HSN-RN.A.2 CCSS.Math.Content.HSN-Q.A.2 CCSS.Math.Content.HSN-Q.A.3 CCSS.Math.Content.HSN-CN.A.1 CCSS.Math.Content.HSN-CN.A.2 CCSS.Math.Content.HSN-CN.C.7 DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. Rewrite expressions involving radicals and rational exponents using the properties of exponents. Define appropriate quantities for the purpose of descriptive modeling. Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. Know there is a complex number πͺ such that πͺ² = β 1, and every complex number has the form π’ + π£πͺ with π’ and π£ real. Use the relation πͺ² = β1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. Solve quadratic equations with real coefficients that have complex solutions. Unit Real and Complex Solutions Concept Analyze Radical Functions Real and Complex Solutions Analyze Radical Functions Multivariate Equations and Inequalities Investigate Linear Systems Multivariate Equations and Inequalities Investigate Linear Systems Real and Complex Solutions Determine Complex Quadratic Roots Real and Complex Solutions Determine Complex Quadratic Roots Real and Complex Solutions Determine Complex Quadratic Roots Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSA-SSE.A.1b CCSS.Math.Content.HSA-SSE.A.2 CCSS.Math.Content.HSA-SSE.A.2 CCSS.Math.Content.HSA-SSE.A.2 CCSS.Math.Content.HSA-SSE.B.3 CCSS.Math.Content.HSA-SSE.B.4 CCSS.Math.Content.HSA-APR.A.1 CCSS.Math.Content.HSA-APR.B.2 DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text Interpret complicated expressions by viewing one or more of their parts as a single entity. Use the structure of an expression to identify ways to rewrite it. Use the structure of an expression to identify ways to rewrite it. Use the structure of an expression to identify ways to rewrite it. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. 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. 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. Know and apply the Remainder Theorem: For a polynomial (πΉ) and a number π’, the remainder on division by πΉ β π’ is Unit Concept Polynomial Operate with Expressions Polynomials and Equations Polynomial Expressions and Equations Rational Expressions and Equations Rational Expressions and Equations Polynomial Expressions and Equations Operate with Polynomials Recursive, Explicit, and Inverse Functions Explore Recursive Functions Develop Rational Expressions Solve Rational Equations Explore Polynomial Factors Polynomial Operate with Expressions Polynomials and Equations Polynomial Operate with Expressions Polynomials and Equations Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSA-APR.B.2 CCSS.Math.Content.HSA-APR.B.3 CCSS.Math.Content.HSA-APR.B.3 CCSS.Math.Content.HSA-APR.C.4 CCSS.Math.Content.HSA-APR.C.5(+) DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text π±(π’), so π±(π’) = 0 if and only if (πΉ β π’) is a factor of π±(πΉ). Know and apply the Remainder Theorem: For a polynomial (πΉ) and a number π’, the remainder on division by πΉ β π’ is π±(π’), so π±(π’) = 0 if and only if (πΉ β π’) is a factor of π±(πΉ). 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. 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. Prove polynomial identities and use them to describe numerical relationships. Know and apply the Binomial Theorem for the expansion of (πΉ + πΊ)βΏ in powers of πΉ and y for a positive integer π―, where πΉ and πΊ are any numbers, with coefficients determined for example by Pascalβs Triangle. Unit Concept Polynomial Explore Expressions Polynomial and Equations Factors Polynomial Operate with Expressions Polynomials and Equations Polynomial Analyze Expressions Polynomial and Equations Functions Polynomial Operate with Expressions Polynomials and Equations Polynomial Operate with Expressions Polynomials and Equations Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSA-APR.D.6 Standard Text Rewrite simple rational expressions in different forms; write π’(πΉ)/π£(πΉ) in the form π²(πΉ) + π³(πΉ)/π£(πΉ), where π’(πΉ), π£(πΉ), π²(πΉ), and π³(πΉ) are polynomials with the degree of π³(πΉ) less than the degree of π£(πΉ), using inspection, long division, or, for the more complicated examples, a computer algebra system. CCSS.Math.Content.HSA-APR.D.7(+) 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. CCSS.Math.Content.HSA-CED.A.1 CCSS.Math.Content.HSA-CED.A.1 CCSS.Math.Content.HSA-CED.A.1 CCSS.Math.Content.HSA-CED.A.1 DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Create equations and inequalities in one variable and use them to solve problems. Create equations and inequalities in one variable and use them to solve problems. Create equations and inequalities in one variable and use them to solve problems. Create equations and inequalities in one variable and use them to Unit Concept Rational Develop Rational Expressions Expressions and Equations Rational Develop Rational Expressions Expressions and Equations Exponents and Logarithms Model Exponential Growth and Decay Polynomial Analyze Expressions Polynomial and Equations Functions Rational Solve Rational Expressions Equations and Equations Rational Functions Compare Rational Functions Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSA-CED.A.1 CCSS.Math.Content.HSA-CED.A.2 CCSS.Math.Content.HSA-CED.A.3 CCSS.Math.Content.HSA-CED.A.3 CCSS.Math.Content.HSA-REI.A.2 CCSS.Math.Content.HSA-REI.A.2 DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text solve 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. 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 simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. Solve simple rational and radical equations in one variable, and give examples showing how Unit Concept Real and Complex Solutions Analyze Radical Functions Multivariate Equations and Inequalities Investigate Linear Systems Multivariate Equations and Inequalities Investigate Linear Systems Rational Solve Rational Expressions Equations and Equations Real and Complex Solutions Analyze Radical Functions Rational Solve Rational Expressions Equations and Equations Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSA-REI.C.6 CCSS.Math.Content.HSA-REI.C.7 CCSS.Math.Content.HSA-REI.C.7 CCSS.Math.Content.HSA-REI.D.10 CCSS.Math.Content.HSA-REI.D.11 DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text extraneous solutions may arise. Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). Explain why the πΉcoordinates of the points where the graphs of the equations πΊ = π§(πΉ) and πΊ = π(πΉ) intersect are the solutions of the equation π§(πΉ) = π(πΉ); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where (πΉ) and/or Unit Concept Multivariate Equations and Inequalities Investigate Linear Systems Conic Sections Compare Conic Equations Multivariate Equations and Inequalities Solve Nonlinear Systems Rational Functions Represent Rational Functions Exponents and Logarithms Represent Exponential Functions Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSA-REI.D.11 CCSS.Math.Content.HSA-REI.D.11 DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text π(πΉ) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. Explain why the πΉcoordinates of the points where the graphs of the equations πΊ = π§(πΉ) and πΊ = π(πΉ) intersect are the solutions of the equation π§(πΉ) = π(πΉ); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where (πΉ) and/or π(πΉ) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. Explain why the πΉcoordinates of the points where the graphs of the equations πΊ = π§(πΉ) and πΊ = π(πΉ) intersect are the solutions of the equation π§(πΉ) = π(πΉ); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where (πΉ) and/or π(πΉ) are linear, polynomial, rational, absolute value, Unit Concept Exponents and Logarithms Model Exponential Growth and Decay Conic Sections Compare Conic Equations Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSA-REI.D.11 CCSS.Math.Content.HSA-REI.D.11 DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text exponential, and logarithmic functions. Explain why the πΉcoordinates of the points where the graphs of the equations πΊ = π§(πΉ) and πΊ = π(πΉ) intersect are the solutions of the equation π§(πΉ) = π(πΉ); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where (πΉ) and/or π(πΉ) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. Explain why the πΉcoordinates of the points where the graphs of the equations πΊ = π§(πΉ) and πΊ = π(πΉ) intersect are the solutions of the equation π§(πΉ) = π(πΉ); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where (πΉ) and/or π(πΉ) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. Unit Concept Multivariate Equations and Inequalities Solve Nonlinear Systems Rational Functions Compare Rational Functions Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSF-IF.A.3 CCSS.Math.Content.HSF-IF.B.4 CCSS.Math.Content.HSF-IF.B.5 CCSS.Math.Content.HSF-IF.B.6 CCSS.Math.Content.HSF-IF.C.7 CCSS.Math.Content.HSF-IF.C.7b DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. 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. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Graph square root, cube root, and piecewisedefined functions, including step functions and absolute value functions. Unit Recursive, Explicit, and Inverse Functions Concept Explore Recursive Functions Rational Functions Represent Rational Functions Polynomial Analyze Expressions Polynomial and Equations Functions Polynomial Analyze Expressions Polynomial and Equations Functions Exponents and Logarithms Represent Exponential Functions Recursive, Explicit, and Inverse Functions Explore Function Transformations Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSF-IF.C.7b CCSS.Math.Content.HSF-IF.C.7c CCSS.Math.Content.HSF-IF.C.7d(+) CCSS.Math.Content.HSF-IF.C.7e CCSS.Math.Content.HSF-IF.C.7e CCSS.Math.Content.HSF-IF.C.7e DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text Graph square root, cube root, and piecewisedefined functions, including step functions and absolute value functions. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. Unit Real and Complex Solutions Concept Analyze Radical Functions Polynomial Analyze Expressions Polynomial and Equations Functions Rational Functions Represent Rational Functions Exponents and Logarithms Represent Exponential Functions Exponents and Logarithms Discover and Analyze Logarithms Trigonometry Represent Trigonometric Functions Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSF-IF.C.8 CCSS.Math.Content.HSF-IF.C.8b CCSS.Math.Content.HSF-IF.C.9 CCSS.Math.Content.HSF-IF.C.9 CCSS.Math.Content.HSF-IF.C.9 CCSS.Math.Content.HSF-BF.A.1 CCSS.Math.Content.HSF-BF.A.1a DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. Use the properties of exponents to interpret expressions for exponential functions. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). Write a function that describes a relationship between two quantities. Determine an explicit expression, a recursive process, or steps for calculation from a Unit Exponents and Logarithms Concept Model Exponential Growth and Decay Exponents and Logarithms Model Exponential Growth and Decay Represent Exponential Functions Real and Complex Solutions Analyze Radical Functions Trigonometry Apply Trigonometric Relationships Recursive, Explicit, and Inverse Functions Recursive, Explicit, and Inverse Functions Explore Recursive Functions Exponents and Logarithms Explore Recursive Functions Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number Standard Text context. Determine an explicit expression, a recursive process, or steps for calculation from a context. Combine standard function types using arithmetic operations. Unit Concept Exponents and Logarithms Apply Logarithmic Functions Explore Function Transformations CCSS.Math.Content.HSF-BF.A.1c(+) Combine standard function types using arithmetic operations. Compose functions. Recursive, Explicit, and Inverse Functions Exponents and Logarithms CCSS.Math.Content.HSF-BF.A.1c(+) Compose functions. CCSS.Math.Content.HSF-BF.A.2 Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms. Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms. Real and Complex Solutions Recursive, Explicit, and Inverse Functions Recursive, Explicit, and Inverse Functions Recursive, Explicit, and Inverse Functions CCSS.Math.Content.HSF-BF.A.1a CCSS.Math.Content.HSF-BF.A.1b CCSS.Math.Content.HSF-BF.A.1b CCSS.Math.Content.HSF-BF.A.1b CCSS.Math.Content.HSF-BF.A.2 DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Combine standard function types using arithmetic operations. Exponential Functions Model Exponential Growth and Decay Analyze Radical Functions Explore Inverse Functions Explore Recursive Functions Explore Recursive Functions Represent Exponential Functions Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSF-BF.B.3 CCSS.Math.Content.HSF-BF.B.3 CCSS.Math.Content.HSF-BF.B.4 CCSS.Math.Content.HSF-BF.B.4a CCSS.Math.Content.HSF-BF.B.4a DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text Identify the effect on the graph of replacing π§(πΉ) by π§(πΉ) + π¬, π¬ π§(πΉ), π§(π¬πΉ), and π§(πΉ + π¬) for specific values of π¬ (both positive and negative); find the value of π¬ given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Identify the effect on the graph of replacing π§(πΉ) by π§(πΉ) + π¬, π¬ π§(πΉ), π§(π¬πΉ), and π§(πΉ + π¬) for specific values of π¬ (both positive and negative); find the value of π¬ given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Find inverse functions. Solve an equation of the form π§(πΉ) = π€ for a simple function π§ that has an inverse and write an expression for the inverse. Solve an equation of the form π§(πΉ) = π€ for a simple function π§ that has an inverse and write an expression for the inverse. Unit Recursive, Explicit, and Inverse Functions Concept Explore Function Transformations Real and Complex Solutions Analyze Radical Functions Recursive, Explicit, and Inverse Functions Recursive, Explicit, and Inverse Functions Explore Inverse Functions Exponents and Logarithms Discover and Analyze Logarithms Explore Inverse Functions Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSF-BF.B.4a CCSS.Math.Content.HSF-BF.B.4b(+) CCSS.Math.Content.HSF-BF.B.4c(+) CCSS.Math.Content.HSF-BF.B.4c(+) CCSS.Math.Content.HSF-BF.B.5(+) CCSS.Math.Content.HSF-BF.B.5(+) CCSS.Math.Content.HSF-LE.A.1c DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text Solve an equation of the form π§(πΉ) = π€ for a simple function π§ that has an inverse and write an expression for the inverse. Verify by composition that one function is the inverse of another. Read values of an inverse function from a graph or a table, given that the function has an inverse. Read values of an inverse function from a graph or a table, given that the function has an inverse. Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents. Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents. Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another. Unit Real and Complex Solutions Concept Analyze Radical Functions Recursive, Explicit, and Inverse Functions Recursive, Explicit, and Inverse Functions Exponents and Logarithms Explore Inverse Functions Exponents and Logarithms Apply Logarithmic Functions Exponents and Logarithms Model Exponential Growth and Decay Exponents and Logarithms Explore Inverse Functions Discover and Analyze Logarithms Discover and Analyze Logarithms Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSF-LE.A.2 CCSS.Math.Content.HSF-LE.A.2 CCSS.Math.Content.HSF-LE.A.4 CCSS.Math.Content.HSF-LE.B.5 CCSS.Math.Content.HSF-LE.B.5 CCSS.Math.Content.HSF-LE.B.5 DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). For exponential models, express as a logarithm the solution to π’π£ to the π€π΅ power = π₯ where π’, π€, and π₯ are numbers and the base π£ is 2, 10, or π¦; evaluate the logarithm using technology. Interpret the parameters in a linear or exponential function in terms of a context. Interpret the parameters in a linear or exponential function in terms of a context. Interpret the parameters in a linear or exponential function in terms of a context. Unit Recursive, Explicit, and Inverse Functions Concept Explore Recursive Functions Exponents and Logarithms Model Exponential Growth and Decay Exponents and Logarithms Apply Logarithmic Functions Exponents and Logarithms Represent Exponential Functions Exponents and Logarithms Exponents and Logarithms Model Exponential Growth and Decay Apply Logarithmic Functions Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSF-TF.A.1 CCSS.Math.Content.HSF-TF.A.2 CCSS.Math.Content.HSF-TF.A.3(+) CCSS.Math.Content.HSF-TF.B.5 CCSS.Math.Content.HSF-TF.C.8 DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle. Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle. Use special triangles to determine geometrically the values of sine, cosine, tangent for Ο/3, Ο/4 and Ο/6, and use the unit circle to express the values of sine, cosine, and tangent for ΟβπΉ, Ο+πΉ, and 2ΟβπΉ in terms of their values for πΉ, where πΉ is any real number. Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. Prove the Pythagorean identity sin²(ΞΈ) + cos²(ΞΈ) = 1 and use it to find sin(ΞΈ), cos(ΞΈ), or tan(ΞΈ) given sin(ΞΈ), cos(ΞΈ), or tan(ΞΈ) and the quadrant of the angle. Unit Trigonometry Concept Explore Angle Measures Trigonometry Represent Trigonometric Functions Trigonometry Represent Trigonometric Functions Trigonometry Apply Trigonometric Relationships Trigonometry Represent Trigonometric Functions Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSG-GPE.A.1 CCSS.Math.Content.HSG-GPE.A.1 CCSS.Math.Content.HSG-GPE.A.2 CCSS.Math.Content.HSG-GPE.A.2 CCSS.Math.Content.HSG-GPE.A.2 CCSS.Math.Content.HSG-GPE.A.3(+) CCSS.Math.Content.HSG-GPE.A.3(+) CCSS.Math.Content.HSG-GPE.A.3(+) DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. Derive the equation of a parabola given a focus and directrix. Derive the equation of a parabola given a focus and directrix. Derive the equation of a parabola given a focus and directrix. Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant. Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant. Derive the equations of ellipses and hyperbolas given the foci, using the Unit Concept Conic Sections Analyze Graphs and Equations of Circles and Ellipses Conic Sections Compare Conic Equations Conic Sections Analyze Graphs and Equations of Circles and Ellipses Conic Sections Analyze Graphs and Equations of Parabolas Conic Sections Compare Conic Equations Conic Sections Analyze Graphs and Equations of Circles and Ellipses Conic Sections Analyze Graphs and Equations of Hyperbolas Conic Sections Compare Conic Equations Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSS-ID.A.4 CCSS.Math.Content.HSS-ID.B.6a CCSS.Math.Content.HSS-IC.A.1 CCSS.Math.Content.HSS-IC.A.2 CCSS.Math.Content.HSS-IC.B.3 DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text fact that the sum or difference of distances from the foci is constant. Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Understand statistics as a process for making inferences about population parameters based on a random sample from that population. Decide if a specified model is consistent with results from a given datagenerating process, e.g., using simulation. Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how Unit Concept Data Modeling Explore Normal Distributions Polynomial Analyze Expressions Polynomial and Equations Functions Data Modeling Collect, Analyze, and Interpret Statistical Data Data Modeling Collect, Analyze, and Interpret Statistical Data Data Modeling Collect, Analyze, and Interpret Statistical Data Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSS-IC.B.4 CCSS.Math.Content.HSS-IC.B.5 CCSS.Math.Content.HSS-IC.B.6 CCSS.Math.Content.HSS-CP.A.1 CCSS.Math.Content.HSS-CP.A.2 DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text randomization relates to each. Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling. Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant. Evaluate reports based on data. Unit Concept Data Modeling Collect, Analyze, and Interpret Statistical Data Data Modeling Collect, Analyze, and Interpret Statistical Data Data Modeling Collect, Analyze, and Interpret Statistical Data Describe events as Probability subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (βor,β βand,β βnotβ). Understand that two Probability events π and π are independent if the probability of π and π occurring together is the product of their probabilities, and use this characterization to determine if they are independent. Explore Conditional Probability Explore Conditional Probability Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSS-CP.A.3 CCSS.Math.Content.HSS-CP.A.4 CCSS.Math.Content.HSS-CP.A.5 CCSS.Math.Content.HSS-CP.B.6 CCSS.Math.Content.HSS-CP.B.7 DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text Understand the conditional probability of π given π as π(π and π)/π(π), and interpret independence of π and π as saying that the conditional probability of π given π is the same as the probability of π, and the conditional probability of π given π is the same as the probability of π. Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the twoway table as a sample space to decide if events are independent and to approximate conditional probabilities. Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. Find the conditional probability of π given π as the fraction of πβs outcomes that also belong to π, and interpret the answer in terms of the model. Apply the Addition Rule, π(π or π) = π(π) + π(π) β π(π and π), and interpret the answer in terms of Unit Probability Concept Explore Conditional Probability Probability Explore Conditional Probability Probability Explore Conditional Probability Probability Apply the Rules of Probability Probability Apply the Rules of Probability Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd Course: Algebra II Standard Number CCSS.Math.Content.HSS-CP.B.8 CCSS.Math.Content.HSS-MD.B.6(+) CCSS.Math.Content.HSS-MD.B.7(+) DiscoveryEducation.com [email protected] | 800-323-9084 © 2014 Discovery Education, Inc. Standard Text the model. Apply the general Multiplication Rule in a uniform probability model, π(π and π) = π(π)π(π|π) = π(π)π(π|π), and interpret the answer in terms of the model. Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). Unit Concept Probability Apply the Rules of Probability Probability Apply the Rules of Probability Probability Apply the Rules of Probability Follow us online: YouTube.com/DiscoveryEducation Twitter.com/DiscoveryEd Facebook.com/DiscoveryEd
