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

## Course Outline and Take this Course

**How to take this course
**We've made it easy! No log-in, no time limit, just click on the module in which you are interested below and get started today.

**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