🧮 Illustrative Mathematics Student Workbook ~ Algebra 1 Units 3,4 & 5

Description: LearnZillionIllustrative MathematicsAlgebra 1A1 ~ Units 3 - 5Student Workbook In Algebra 1, students build on the descriptive statistics, expressions and equations, and functionswork first encountered in the middle grades while using more formal reasoning and precise languageas they think deeper about the mathematics. Students add to the statistical work from the middlegrades by working with standard deviation, describing statistical distributions more precisely, andmeasuring goodness-of-fit with residuals and the correlation coefficient. Students further their workwith linear equations and inequalities as they transition from representations tied to tangible objectsto working with abstract expressions. Students develop their abilities to see structure in expressionsto show that expressions involving several operations are equivalent (for example, grasping that“substitution” works at various levels of complexity), and they solve linear and quadratic equations bywriting a series of equivalent statements, justifying each step. Students formalize their concept offunction and encounter exponential and quadratic functions as well as other examples of non-linearfunctions. A function that arises from a real context requires students to attend to an appropriatedomain and to the meaning of various features of the function in the context. As they explore variousfunctions, students should also leverage the power of making connections between graphical, tabular,symbolic, and contextual representations. ~ Unit 3 - Bivariate Statistics ~Use available technology to find lines of best fit.Use available technology to compute correlation coefficients.Represent data on two quantitative variables on a scatter plot.Understand that correlation does not necessarily imply causality.Describe how two quantitative variables on a scatter plot are related.Fit a linear function for a scatter plot that suggests a linear association.Interpret the slope and the intercept of a linear model in the context of the data.Understand that the correlation coefficient measures the “tightness” of a line fitted to data.Assess the goodness of fit of a line to a small data set by plotting and analyzing residuals. ~ Unit 4 - Functions ~Use function notation.Relate the domain of a function to its graph.Write an expression for the inverse of a linear function.Solve for x such that f(x) = c, when f is a linear function.Estimate the average rate of change of a function from its graph.Interpret statements that use function notation in various contexts.Interpret key features of graphs in terms of the quantities represented.Work with graphs of piecewise-defined functions, including step functions.Relate the domain of a function to the quantitative relationship it describes.Sketch graphs showing key features of the graph by hand and using technology.Calculate and interpret the average rate of change of a function over a specified interval.Understand that a function from one set (the domain) to another set (the range) assignsto each element of the domain, exactly one element of the range. ~ Unit 5 - Exponential Functions 1 ~Distinguish between the growth laws of linear and exponential functions and recognizewhen a situation can be modeled by a linear function versus an exponential function.Model situations of growth and decay with exponential functions expressed in various different formsgiven a graph, a description of the situation, or two input-output pairs (including reading these from a table).Understand that over time, a quantity increasing exponentially will eventually exceed a quantity increasing linearly.Graph exponential functions and understand how changing by a constant factor over equal intervals affects the graph.Understand the form of different expressions for exponential functions in terms of change by a constant factor over equal intervals. ◕ 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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Location: Brunswick, Maine

End Time: 2024-05-12T22:39:01.000Z

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