Unit IV: Linear Functions, Inequalities, and Graphs
Activities- 1 Comparing Salaries
Compare and contrast men's salary and women's salary as a function of time. Are women's salaries catching up to men's salaries? - 2 Determining the Equation of a Line From a Graph
Determine the equation of each line in slope intercept form. Enter an answer in each box, then click the "Check Worksheet" button at the bottom of the page to automatically check each answer. - 3 Graphing Linear Functions
The following steps can be used with students to have them create graphs of linear functions. Although designed for use with Claris Works, the procedures can be used with Microsoft Excel (In step 4, click on the "Chart Wizard" or bar graph icon and follow the steps.). - 4 Linear Function Machine Activity
This activity allows the user to explore simple linear functions. - 5 Linear Inequality Surfing
This is a graphing linear inequalities activity where students make “surfers” ride the wave or wipe out. - 6 Linear Inequality Treasure Hunt
This is a graphing linear inequalities activity where students find the coordinates of a treasure. - 7 Writing Equations of Lines
This eModule contains interactive, online units that target objectives identified as important in state and national standards, include lesson plans, contain interactive online activities, and provide online assessments. This eModule is intended to cover between one and three class periods of instruction. eTools- 8 Equation of a Line - Slope Intercept Form
This tool is designed model how changing the values for the slope, m, and the y-intercept, b, will affect the graph of the equation y = mx + b. - 9 Flowing Through Mathematics
Simulate water flowing from a tube through a hole in the bottom. The diameter of the hole can be adjusted and data can be gathered for the height or volume of water in the tube at any time. - 10 Function Machine
This applet allows the user to explore simple linear functions; the function is determined by looking for patterns in the outputs. - 11 Line of Best Fit
This applet allows the user to enter a set of data, plot the data on a coordinate grid, and determine the equation for a line of best fit. - 12 Linear Regression I
This applet allows you to investigate a regression line, sometimes known as a "line of best fit." Games- 13 Algebra Four
This activity allows the user to play a game with solving equations where each player tries to connect four game pieces in a row before his or her opponent does. The players can choose to solve linear equations involving various properties of equality as well as solving quadratic equations in standard form. - 14 Finding Equations of Lines - Kill the Cockroach Game
Students must find the equation of a line that a cockroach is crawling along in order to smash it. - 15 Solving Equations Game - Planet Blasting
Solving equations, while blasting planets game. Graphing Calculator- 16 Determine Linear Equation Given Two Points
This tool will enable the user to determine the equation of a line given two or more points. Once this is calculated the user can go to the table in the calculator to create a table of values. - 17 Steps for Graphing Linear Inequalities
This tool will enable the user to graph the corresponding linear inequality. - 18 Steps to Calculate Line of Best Fit
This tool will enable the user to calculate a line of best fit. - 19 Steps to Find the X and Y Intercepts
This tool will enable the user to find the X and Y intercepts. Text- 20 Holt Lesson 5.2 Homework Help
Holt Lesson 5.2 Defining Slope Homework Helper. - 21 Holt Lesson 5.3 Homework Help
Holt Lesson 5.3 Rate of Change and Direct Variation Homework Helper. - 22 Holt Lesson 5.4 Homework Help
Holt Lesson 5.4 The Slope-Intercept Form Homework Helper. - 23 Holt Lesson 5.5 Homework Help
Holt Lesson 5.5 The Standard and Point-Slope Forms Homework Helper. - 24 Holt Lesson 5.6 Homework Help
Holt Lesson 5.6 Parallel and Perpendicular Lines Homework Helper. - 25 Holt Lesson 6.1 Homework Help
Holt Lesson 6.1 Solving Inequalities Homework Helper. - 26 Holt Lesson 6.2 Homework Help
Holt Lesson 6.2 Multistep Inequalities Homework Helper. - 27 Holt Lesson 6.3 Homework Help
Holt Lesson 6.3 Compound Inequalities Homework Helper. Tutorials- 28 Graph a line given the equation in slope-intercept form
Graph a line given the equation in slope-intercept form. Graph using two points as well as y-intercept and slope. - 29 Graphing Linear Inequalities: y > mx + b, etc.
A short "tutorial" on how to graph linear inequalities. - 30 Holt Chapter 5 Parent Resource
Holt Chapter 5 Parent Resource. Selected text homework problems solved. - 31 Holt Chapter 6 Parent Resource
Holt Chapter 6 Parent Resource. Selected text homework problems solved. - 32 Introduction to the coordinate plane
Introduction to the coordinate plane. includes definitions for x and y axis as well as ordered pairs. Practice plotting ordered pairs. - 33 Slope and y-intercept
Define and apply concept of slope and y-intercept. - 34 Slope of a Straight Line
A tutorial that teaches the use of the point-slope and two-point formulas to determine the slop of a straight line. - 35 Solving Linear Inequalities
A web resource that contains a lesson page, an interactive student practice page, and a teacher resource page. - 36 Starting to Solve Basic Inequalities
A tutorial that teaches how to solve basic inequalities. - 37 Starting to Solve Messier Inequalities
A tutorial that teaches how to solve more complex inequalities. Videocasts- 38 Discovering Math: Graphing Calculator: Graphing a Line - Thunder and Lightning Graph (DE streaming) (GT)
This program details the various functions used to graph a line on the graphing calculator. As a math instructor shows step-by-step keystrokes for a number of graphing functions, students work singly and in groups and share their observations. Colorful graphics further detail the process. The practical applications for graphing a line are also shown in various real-life situations (Student Login: hcpss_student, Password: student). - 39 Example 1: Direct and Inverse Variations -- Party Planning (DE streaming)
The amount of food required for a party, assuming an equal amount allotted for each participant, is a direct function of the number of people expected to participate. However, once the amount of food is set, the amount each person gets, if it's divided evenly, is an inverse function of the number of people who participate, proportional to the inverse of the number of people (Student Login: hcpss_student, Password: student). - 40 Example 2: A Function Expressed in a Graph (DE streaming)
From using expressions to represent relationships to using variables in multiple ways to linear equations and functions to solving simple inequalities, this video introduces middle school students to more advanced properties of functions and algebra (Student Login: hcpss_student, Password: student). - 41 Example 2: Using Inequalities -- Italian Cuisine (DE streaming)
A traveler can use an inequality to express and figure out how many cooking classes she can fit into her budget (Student Login: hcpss_student, Password: student). - 42 Graphing Linear Equations (DE streaming)
Since the graph of a linear equation is a straight line, you need only determine two ordered pairs that satisfy the linear equation and draw the line through those two points. It is a good idea to graph a third point to be sure that you did not make a mistake. This video segment looks at the linear relationship between Fahrenheit and Celsius temperatures (Student Login: hcpss_student, Password: student). - 43 Solving Linear Equations (DE streaming)
Techniques of solving linear equations are demonstrated with examples (Student Login: hcpss_student, Password: student). - 44 Solving Linear Inequalities in Two Variables: Nutrition (DE streaming)
In this video segment, students see how the slope-intercept form of a linear inequality in two variables is used to solve a real-world problem involving nutrition (Student Login: hcpss_student, Password: student). - 45 Using Algebraic Equations in Firefighting (DE streaming)
This episode illustrates how tables can be used to graph linear equations and addresses questions that arise when graphing equations that represent real world situation such as how to determine which variables are dependent and independent and whether or not data is continuous or discreet (Student Login: hcpss_student, Password: student).
Unit V: Statistics, Probability, and Proportional Reasoning
Activities- 1 Basic Matrix Operations
This provides an explanation and practice problems for basic matrix operations. - 2 Heart Beat (Drill Problem)
Proportion problem to determine the time it would take for a human heart to beat 1000 beats, etc. - 3 Magic Bullets: Chemistry vs. Cancer
The primary purpose of most cancer chemotherapy research, like the work of Elion and George Hitchings, is to keep people alive longer. In this activity students will work with data about cancer deaths. The purpose of the activity is to give students some experience in reading and interpreting graphs, but it is important to remember that cancer chemotherapy is about treating people with compounds that will allow them to live healthy lives. - 4 Misleading Graphs (MS Excel)
A survey has been taken to determine the people's favorite food. The results are shown in the table. Two graphs have been made for the same data. Which graph do you think is better? More fair? Why? - 5 Plop-It!
This activity allows the user to explore the concepts of mean, median and mode by adding/removing blocks to an axis with a given range. - 6 The Cliff Hanger
A long day hiking through the Grand Canyon has discombobulated this tourist. Unsure of which way he is randomly stumbling, 1/3 of his steps are towards the edge of the cliff, while 2/3 of his steps are towards safety. From where he stands, one step forward will send him tumbling down. What is the probability that he can escape unharmed? eTools- 7 Adjustable Spinner
Change the number of sectors and increase or decrease their size to create any type of spinner. Then, conduct a probability experiment by spinning the spinner many times. - 8 Algebra of Matrices
For addition and subtraction of matrices the elements in one matrix are added to the corresponding elements in the second matrix. For multiplication, the elements of each row of the first matrix are multiplied by each element of the columns in the second matrix. These are then added together to form the elements of the new matrix. - 9 Bar Grapher
Graph data sets in bar graphs. The color, thickness and scale of the graph are adjustable. You can input your own data, or you can use or alter pre-made data sets. - 10 Box Plotter
Choose a data set from the drop-down menu, or enter your own data in the box at the bottom of the screen. When entering data on your own, you can place each data point within a category by placing a comma and a category name after the data. - 11 Comparing Properties of the Mean and Median
Using interactive software, students can compare and contrast properties of measures of central tendency, specifically the influence of changes in data values on the mean and median. As students change the data values, the interactive figure immediately displays the mean and median of the new data set. Experimenting with this software helps students compare the utility of the mean and the median as measures of center for different data sets, as discussed in the Data Analysis and Probability Standard. - 12 Fire! (Illuminations)
Use this tool to simulate a fire in a densely populated forest. The probability indicates the likelihood of a tree catching on fire, given that an adjacent tree is on fire. Investigate the results for various probabilities. - 13 Histogram Tool
This tool can be used to create a histogram for analyzing the distribution of a data set using data that you enter or using pre?loaded data that you select. - 14 Online box-and-whisker
Online box-and-whisker-generator - 15 Percentage Proportion Solver
Enter the values from your percentage problem. Place an x in the box where the unknown goes.... - 16 Playing Cards in Probability
This applet gives a number of choices involving playing cars in probability. It then calculates the answer to a problem entered by the user giving an outline of how the answer was calculated. - 17 Random Drawing Tool
This tool is designed to help explore the relationship between theoretical and experimental probabilities. - 18 Solving Proportions
Enter the values from your proportion problem. Place an x in the box where the unknown goes.... - 19 Stem and Leaf Plotter
This tool generates a stem and leaf plot from data that the user enters. Graphing Calculator- 20 Matrices
This tool will enable the user to perform necessary operations such as matrix addition, subtraction, and/or scalar multiplication - 21 Measures of Central Tendency
This tool will enable the user to calculate the mean and median of a data set. There are two different methods displayed for the mean. - 22 Measures of Variability
This tool will enable the user to calculate the measures of variability. These will include range (MaxX - MinX), interquartile range(Q3-Q1), and quartiles. - 23 Probability Simulations
This tool will enable the user to practice simulations on the calculator - 24 Scatterplot
Data is represented by a scatterplot - 25 Steps for Box-and-Whisker plot
This tool will enable a user to display data as a box-and-whisker plot. - 26 Steps for Frequency Table
This tool will enable a user to display data using a frequency table. - 27 Steps for Histogram
This tool will enable a user to organize data using a histogram Text- 28 Holt Lesson 13.1 Homework Help
Holt Lesson 13.1 Theoretical Probability Homework Helper. - 29 Holt Lesson 13.3 Homework Help
Holt Lesson 13.3 The Fundamental Counting Principle Homework Helper. - 30 Holt Lesson 13.4 Homework Help
Holt Lesson 13.4 Independent Events Homework Helper. - 31 Holt Lesson 13.5 Homework Help
Holt Lesson 13.5 Simulations Homework Helper. - 32 Holt Lesson 4.1 Homework Help
Holt Lesson 4.1 Using Proportional Reasoning Homework Helper. - 33 Holt Lesson 4.2 Homework Help
Holt Lesson 4.2 Percent Problems Homework Helper. - 34 Holt Lesson 4.3 Homework Help
Holt Lesson 4.3 Introduction to Probability Homework Helper. - 35 Holt Lesson 4.5 Homework Help
Holt Lesson 4.5 Graphing Data Homework Helper. - 36 Holt Lesson 4.6 Homework Help
Holt Lesson 4.6 Other Data Displays Homework Helper. Tutorials- 37 Holt Chapter 4 Parent Resource
Holt Chapter 4 Parent Resource. Selected text homework problems solved. - 38 Matrix Powerpoint
A basic overview of adding, subtracting and scalar matrices. - 39 Probability vs. Statistics Discussion
People sometimes use the words statistics and probability when talking about the same things. Discusses whether or not these two words just different names for the same concept? Videocasts- 40 Determining Probability Theoretically: Multiple Events - Number Cubes (DE streaming)
From genetics to baseball to tossing coins, probability is everywhere. Learn to calculate probabilities both empirically and theoretically, and see examples of how probability is applied to solve problems (Student Login: hcpss_student, Password: student). - 41 Estimating and Proportions:Counting Sheep (DE streaming)
How are ratios and proportions used to solve real world problems? This video features them in Renaissance design, calculating the orbit of the moon, estimating animal populations, understanding currency exchange rates, making distance-speed conversions, and creating special effects in films (Student Login: hcpss_student, Password: student). - 42 Example 1: Mean, Mode, and Median -- Babe Ruth
Babe Ruth's home run statistics from his last decade of play is used to illustrate measures of central tendency and how they are determined (Student Login: hcpss_student, Password: student). - 43 Faulty Arguments, Errors, and Misleading Presentation (DE streaming)
The manner in which data is displayed influences how it is interpreted, regardless of its accuracy (Student Login: hcpss_student, Password: student). - 44 Matrix Arithmetic (DE streaming)
Matrices are arrays of numbers that can be seen as tables without labels. They are useful for organizing and manipulating data, and, when containing variables, can be used for solving systems of equations. Examples include determining multi-year football statistics, the number of three-point shots made by a basketball player, and the number of games a soccer team won (Student Login: hcpss_student, Password: student). - 45 Probability Tables-Baby Kangaroos (DE streaming)
From genetics to baseball to tossing coins, probability is everywhere. Learn to calculate probabilities both empirically and theoretically, and see examples of how probability is applied to solve problems (Student Login: hcpss_student, Password: student). - 46 Sampling Techniques (DE streaming)
Samples may be chosen in such a way that they are random or biased. Random samples have a better chance of being representative of the population from which they come. The interpretation of results depends on the degree to which a sample is representative of the target population. Examples include luggage at an airport, a survey using telephone listings, and spending habits of college students (Student Login: hcpss_student, Password: student).
