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Algebra Using the TI-83 Plus / TI-84 Plus Online Course

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Course Outline
Introduction
Get acquainted with how to take this course including tips on navigation.

Module 0: Getting Aquainted
This module will examine the following:
• three different zones of the TI-84 plus and what each zone does
• how to reset defaults and examining what happens to different features when this is done
• how to enter arithmetic expressions with addition and implied multiplication (parenthesis)
• how to evaluate exponential expressions with repeated multiplication, exponential function key and the pretty print (or preset) exponents

Module 1: Building the Bridge From Arithmetic to Algebra
This module will examine the following:
• solving algebraic expressions and examining patterning by entering values in alphanumeric values and using the last answer function.
• converting fractions to lowest terms.
• entering and graphing functions using the y= editor
• resizing windows manually to create friendly viewing windows and using the trace feature to solve for missing values in a function
• setting up tables and scrolling through tables to find missing data values

Module 2: Number Patterns and Sequences
This module will examine the following:
• creating a recursive sequence on the home screen
• storing multiple answers in the calculator and using the answer feature to create a table/list containing a recursive sequence on the home screen
• using the seq command to generate lists of data in the list editor and creating scatter plots.
• graphing equations to represent data in a scatter plot and using the trace/ table features to solve values

Module 3: Using Lists to Build Algebraic Thinking
This module will examine the following:
• learning an algorithm to multiply by 11
• entering data values in lists and enter formulas in the list editor
• using the set up editor to display lists and rearranging lists in the list editor
• using the catalogue to locate commands and using the sum command to add elements in a list
• using the y = editor and tables to input independent values to obtain dependent values for a function

Module 4: Draw on Your Knowledge of Coordinates
This module will examine the following:
• using graph window presets such as zstandard, zdecimal, zinterger, to create friendly viewing windows
• manually changing the window settings to create friendly viewing graph windows and manually setting the center of a window
• graphing lines squares, circles using tools from the draw menu and clearing drawings
• drawing on the graph screen using the draw tools from the home screen and storing/recalling drawings
• downloading and using TI Connect to capture drawings on the home screen

Module 5: Transformations
This module will examine the following:
• use the set up editor and the alpha lock feature to name and create lists
• using graph window presets such as zoomstat and zsquare to create friendly viewing windows and manually changing window settings
• performing operations on lists to reflect, translate and dilate graphs
• using the augment and dim commands to change the size of lists

Module 6: Operations in Algebra: Rational Numbers and Expressions
This module will examine the following:
• comparing and ordering rational numbers using relational operators and using the sort command for lists
• add, subtract, multiply, and divide rational numbers
• convert decimals to fractions
• using the last answer feature
• store numbers in alphanumeric variables and solving for expressions, using relational operators to compare algebraic expressions
• entering and comparing algebraic expressions and using graphs/ tables to compare expressions

Module 7: Proportional Reasoning
This module will examine the following:
• using the y = editor to graph functions and to solve ratios using the trace, value and intersection features
• using the answer feature to convert decimal values for time to minutes, seconds
• looking for patterns by performing operations on lists, storing values, graphing linear functions and scatter plots
• using the Calc menu and the value command to solve for missing values

Module 8: Solving Equations
This module will examine the following:
• using the guess-and-test method to solve equations
• entering expressions and using concatenation on home screen to solve expressions
• entering functions using the y = editor and using the table feature to find missing values
• Solving Equations Algebraically store values and compare answers with expressions with rational numbers
• using y= editor to graphing and using the Calc menu to find intersection points
• expressing answers in fractional form


Module 9: Solving Linear Inequalities
This module will examine the following:
• solving inequalities in one variable using concatenation and relational operators
• solving inequalities using tables and graphs by entering equations into y = editor and using tables/ graphs to solve for missing values
• using relational operators to graph linear inequalities by using the y = editor to enter equations and inequalities
• using graphs to examine inequalities and determine intersection points

Module 10: Percent Applications
This module will examine the following:
• determine discounts by entering expressions and inequalities on home screen using relational operators
• determining sales tax and tips through solving inequalities with tables, graphing and home screen
• solving inflation and depreciation problems using graphs and the Calc menu.

Module 11: Solving Problems Involving Linear Functions
This module will examine the following:
• using the list editor and attaching formulas to a list to create dependent values form independent values
• entering functions and using tables to accept independent values into table and solve for dependent values
• perform operations on functions, find intersection points and use tables to find missing values

Module 12: Equation of a Line
This module will examine the following:
• comparing the slopes of lines using the y= editor and graphs
• graphing lines in slope-intercept form and finding intersection points
• create scatter plots and graph functions to draw lines to fit data points

Module 13: Programming and Lines
This module will examine the following:
• how to write a program to find slope and y- intercept
• using the random integer feature to create an equation for a line in slope intercept form - -load a program using TI Connect


Module 14: Linear Data Collection Activities
This module will examine the following:
• examining Hooke’s Law
• using the seq feature to generate data and storing values into variables
• graphing functions and using tables to input independent variables in table
• finding points of intersection using the Calc menu

Module 15: Linear Data Collection Activities with the CBR
This module will examine the following:
• loading of data using TI Connect
• using the y = editor to graph functions
• store values using alphanumeric variables

Module 16: Relations and Functions
This module will examine the following:
• drawing and labelling points
• drawing horizontal and vertical lines and drawing the inverse of a function,
• drawing a circle using the home screen
• entering functions into the y = editor and using the table feature to enter independent values
• entering data values into lists
• using change in lists to find the common difference, slope

Module 17: Systems of Linear Equations
This module will examine the following:
• using home screen to guess and check solutions and to find the intersection point of two functions
• graphing functions and performing mathematical operations on functions in the y= editor
• entering matrices and finding a solution using the rref (row reduced echelon form) feature

Module 18: Compound Inequalities and Systems of Inequalities
This module will examine the following:
• entering functions into the y = editor and finding points of intersection
• using Boolean and relational operators to graph the solution of an inequality
• graphing an inequality and using the home screen to test values

Module 19: Factoring Trinomials
This module will examine the following:
• checking linear factors using relational operators and the home screen
• storing values into alphanumeric variables,
• entering and comparing functions with relational operators and graphs
• using the Calc menu and the zero feature to solve trinomials for x=0 to compare factors

Module 20: Transformations of Quadratic Functions
This module will examine the following:
• graphing multiple functions from one function,
• using zoom decimal window to determine information from graphs
• using list editor to enter and generate data values
• graphing data using scatter plots
• using the Calc menu to find the maximum point and vertex
• enter functions into the y = editor and using the home screen to verify solutions

Module 21: Solving Quadratic Equations
This module will examine the following:
• entering functions to find the maximum point or vertex and checking answers on the home screen
• entering functions and finding the point of intersection and using tables to verify answers
• entering expressions on the home screen
• using alphanumeric variables to store numbers and entering expressions on the home screen
• enter the functions and use the zero feature to determine solutions
• running a program called quadfrom

Module 22: Exponential Functions
This module will examine the following:
• entering expressions on the home screen and using exponent key,
• converting decimal numbers to simplest form fractions
• using the last answer feature to generate a table of values on the home screen,
• using repeated multiplication, exponential function key and the pretty print or preset exponents
• entering functions and use the table to solve expressions
• entering functions and find intersection point

Module 23: Exponential, Rational, and Radical Functions
This module will examine the following:
• using recursion on the home screen
• entering functions using the y = editor and comparing tables or graphs,
• finding the intersection point

Module 24: Absolute-Value Equations and Inequalities
This module will examine the following:
• enter functions and finding the point of intersection
• using relational operators with tables and drawing graphs
• using zoom feature (zoom in) to see points of intersection
• using one function to draw multiple functions and storing values in alphanumeric variables

Module 25: Using Lists and Graphs
This module will examine the following:
• inserting, deleting, overwriting values in a list
• creating a scatter plot
• drawing vertical and horizontal lines to examine the vertical line test

Module 26: Linear Regression
This module will examine the following:
• entering data into lists to create scatter plots and tracing values
• entering functions to compare lines of best fit, use linreg feature to determine slope and y-intercept,
• using the Catalogue menu to turn diagonistics on/off to see correlation coefficients

Module 27: More Linear Regressions
This module will examine the following:
• comparing lists to find first level differences in a list
• perform stat calculations (mean) on a list,
• storing values in alphanumeric variables
• entering functions in y= editor and using linreg feature to determine slope and y-intercept