🧮 Illustrative Mathematics Student Workbook ~ Algebra 2 Units 3, 4 &5

Description: LearnZillionIllustrative MathematicsAlgebra 2A2 ~ Units 3 - 5Student Workbook In Algebra 2, students extend the algebra and function work done in Algebra 1. Students continue todevelop their picture of the complex number system by investigating how non-real solutions arise andhow non-real numbers behave. Exponential functions are considered over a domain of real numbers,necessitating work with fractional exponents. The logarithm is defined as the inverse of exponentiationand from this definition students consider the properties of logarithms in addition to using them to solvefor unknown exponents. Students extend their previous work with quadratics and polynomials to achievea more general understanding of polynomials. Work done in geometry with sin, cos, and tan as operationsis extended in a study of the unit circle and sin(x), cos(x), and tan(x) as functions. Students build on theirwork with probability from grade 7 to admit the notions of independence and conditional probability. Finally,students do further work in statistics, where they revisit and extend their understanding of variability in dataand of ways to describe variability in data. The normal distribution is studied, and students explore thereasoning that allows them to draw conclusions based on data from statistical studies. ~ Unit 3 - Logarithms ~Solve exponential equations using logarithms.Use properties of logarithms to solve problems.Solve problems using the properties of logarithms.Understand the natural logarithm as a special case.Understand and explain the properties of logarithms.Graph exponential and logarithmic functions, both by hand and using technology.Understand the definition of a logarithm as the solution to an exponential equation.Practice evaluating logarithmic expressions and converting between the exponentialform of an equation and the logarithmic form. ~ Unit 4 - Polynomials and Rational Functions ~Prove and make use of polynomial identities.Use the remainder theorem to find factors of polynomials.Build a rational function that describes a relationship between two quantities.Solve simple rational equations and understand why extraneous roots can arise.Express rational functions in different forms to see different aspects of the situation they model.Add, subtract, and multiply polynomials and express them in standard form using the properties of operations.Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.Graph rational functions, interpret features of the graph in terms of a context, and use the graphs to solve problems.Use various strategies including graphing and factoring to solve problems in contexts that can be modeled bypolynomials in one variable. ~ Unit 5 - Trigonometric Functions ~Prove the Pythagorean Identity sin2θ+cos2θ=1.se the Pythagorean Identity to calculate trigonometric ratios.Model with trigonometric functions, including fitting them to data.Graph basic trigonometric functions using radians as the x-axis scale.Understand radian measure and convert between radians and degree.Define coordinates on the unit circle as the sine and cosine of an angle.Understand some real-world situations that demonstrate periodic behavior.Understand the relationship between parameters in a trigonometric function and the graph.Use the unit circle to prove trigonometric identities and relate them to symmetries of the graphs of sine and cosine. ◕ Free Fast US shipping ◕◕ Sent out within 24 hours of payment ◕◕ 100% satisfaction is guaranteed with a 60 day no hassle return policy ◕◕ Returns gladly accepted if not pleased based on description & photos ◕

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