Accelerated Advanced Algebra. Chapter 1 Patterns and Recursion Homework List and Objectives

Transcription

1 Chapter 1 Patterns and Recursion Use recursive formulas for generating arithmetic, geometric, and shifted geometric sequences and be able to identify each type from their equations and graphs Write and use recursive equations both by hand and on the graphing calculator using sequence mode Use geometric and shifted geometric sequences to model applications including growth, decay, loans, and investments # #1-11, 12a-d, 13-15, 19, Investigation Extra Practice WS #1-9, # Investigation Extra Practice WS #1-11, 13, 15 Review #1-10, skip #9 Begin to understand the concept of a limit using the long run value idea

2 Chapter 2 Describing Data Review measures of central tendency, five-number summary, box-and-whisker plots, histograms, IQR and be able to use the graphing calculator to quickly find/create each Describe shape and spread of a data set from box plots and histograms # #1-7, 9-13, 15, #1-10, 13 Review #1-8 Find variance and standard deviation by hand and using a calculator Distinguish between measures of spread relative to the mean (variance, standard deviation), from measures of spread relative to the median (range, IQR) Understand and apply definitions of outlier Use histograms and box plots to analyze data Determine percentile rank from a histogram or from raw data, be able to describe what the percentile rank means and connect percentile rank and standard deviation

3 Chapter 3 Part 1 Linear Models Relate recursive formulas for arithmetic sequences to explicit formulas and to linear equations Deepen understanding of slope in arithmetic sequences and linear equations Find lines of fit for data sets and use them to make predictions through interpolation and extrapolation #1-8, #1-5, 7-10, 13, 14, #1-8, 9abe, 10, #1-5, 8, 9, 11 (#6 on calc) #1-5, 7, 8, 10-12, 14 Review #1, 2, 3, 5, 8, 9 Learn about the median-median line and compare it to other lines of fit Evaluate lines of fit using residuals and the root mean square error Use the root mean square error to find the error range

4 Chapter 13 Find and interpret the coefficient of correlation to measure association Understand the difference between correlation and causation Understand the concept of regression analysis Find the equation and properties of the least squares line # #1-4, 6, 7abc, 8, 9, 12 Review 789 #5

5 Accelerated Advanced Algebra Chapter 3 Part 2 Linear Systems and Linear Programming Use systems of linear equations to model problems Solve systems of equations by graphing, by tables, by substitution, and by elimination Write and graph systems of inequalities to describe given real-world constraints , 10, 11, , 10, 11, 13, Linear Programming Worksheets Review 165/352 #6, 7/#6 Learn how to do linear programmingoptimizing a function over a feasible region representing real-world situations-with two variables

6 Chapter 4 Part 1 Function Notation and Composition of Functions es: Define function, domain, and range, and use function notation Distinguish conceptually and graphically between functions and relations Explore compositions of functions #1-5, 7-10, 12, 16, 18 Composition of Functions Worksheet #1-6, 8-10, 12, 13

7 Chapter 4 Part 2 Transformations Study linear, quadratic, absolute-value, and square root functions See how translations, reflections, stretches, and compressions of the graphs of these functions and of the unit circle affect their equations Investigate inverse relations and rational functions # #1-8, 10, #1-7, 9-11, 13, #1-5, #1-8, Cubic and Rationals WS 9.6 General Transformations WS Review Worksheet Find the graph of a rational function from its equation and vice versa

8 Chapter 5 Exponents and Logarithms Review properties of integer exponents and extend them to rational exponents Write explicit equations for geometric sequences Generalize explicit equations for geometric sequences to exponential functions for modeling continuous realworld growth and decay Distinguish a power function from an exponential function and solve power equations Define the inverse relation of a function and study graphs and compositions of inverses Find and apply inverse functions in real world situations Define common logarithms and logarithms with other bases and use them to calculate and solve equations in several ways Develop properties of logarithms Establish that the inverse of an exponential function is a logarithmic function , 12, 13 Worksheet Exponents I Worksheet Exponents II , 9, 10, 13, 16, IRS , 6, 7, 9-12, 14, , 8-10, 13, IRS , 12, 18 Worksheet Logarithms I Worksheet Logarithms II Logarithms Packet , , 8, 10 Review

9 Chapter 6 Using Matrices to Solve Systems of Equations Use matrices to represent transition diagrams, polygons, and transformations Apply matrix operations to solve problems with probabilities and transformations Solve systems of equations by matrix row reduction and by inverse matrices #1-5, 7-9, # #1-7, 9, 12 Review Worksheet

10 Chapter 7 Quadratics, Complex Numbers and Polynomial Division Define types and properties of polynomials Use finite differences and systems of equations to find a polynomial function that fits a data set Understand the correspondence between the zeros of a polynomial, the x-intercepts of its graph, and the roots of an equation Find roots of polynomial equations from factored form, using the zero product property Change quadratic polynomials from general form to vertex form by completing the square #1-7, 10, #1-10, 13, 14, 15 Factoring Packet #1-9, 12, #1-9, 11, 13, # #1-4, #1-9, #1-10, 12, 14, 15 Review #1-13 (skip 3 and 10) Relate the vertex form of a quadratic equation to its roots, its parent function, its relative extreme points and the quadric formula Define and use complex and imaginary numbers and conjugate pairs Learn relationships among the graphs of polynomial equations, functions, the number and types of roots, the possible degrees of the polynomial and extreme values and end behavior Change polynomials from general form to factored form using graphs, the Rational Root Theorem, long or synthetic division and the quadratic formula

11 Chapter 9 Rational Functions Identify characteristics of the graph of a rational function from its equation Identify holes, vertical asymptotes, x-intercepts, y-intercepts, and horizontal asymptotes of rational functions # #1-10 Review Worksheet Learn to add, subtract, multiply and divide rational expressions