Description: LearnZillionIllustrative MathematicsAlgebra 2A2 ~ Units 6 & 7Student 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 6 - Probability ~Determine whether events are independent.Understand that A and B are independent if P(A and B) = P(A) • P(B) (S-CP.A.2).Recognize independence in everyday situations and explain it in everyday language.Use data presented in two-way frequency tables to approximate conditional probabilities.Understand the probability of A given B as the fraction of B's outcomes that also belong to A.Understand the conditional probability of event A given event B as P(A and B)/P(B) (S-CP.A.3).Describe events as subsets of a sample space using unions, intersections, or complements of other subsets.Interpret independence of A and B as saying that the probability of A given B is equal to the probability of A, - and the probability of B given A is equal to the probability of B.Use the Addition Rule to compute probabilities of compound events in a uniform probability model, and interpret - the result in terms of the model. ~ Unit 7 - Making Inferences ~Calculate and interpret margin of error in context.Use data from a random sample to estimate a population mean.Use data from a random sample to estimate a population proportion.Distinguish between observational studies, surveys and experiments.Understand the relationship between sample size and margin of error.Critique and evaluate data-based claims that appear in popular media.Calculate and interpret the standard deviation as a measure of variability.Understand that statistical methods are used to draw conclusions from data.Given data from a statistical experiment, create a randomization distribution.Explain why random assignment is important in the design of statistical experiments.Explain why random selection is important in the design of observational studies and surveys.Use the least squares regression line to model linear relationships in bivariate numerical data.Understand sampling variability in the context of estimating a population or a population mean.Use the normal distribution as a model for data distributions that are approximately symmetric and bell-shaped.Use a randomization distribution to determine if there is a significant difference between two experimental conditions.Understand that the validity of data-based conclusions depends on the quality of the data and how the data were collected. ◕ 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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Publication Year: 2019
Type: Student Workbook
Format: Book
Subject Area: Algebra
Language: English
Publication Name: Illustrative Mathematics
Author: LearnZillion
Features: Illustrated
Publisher: Learn Zillion
Subject: Mathematics