a site for teachers | a PowerPoint show | Adobe Acrobat document | a Word document sound | video format | interactive lesson | a quiz | lesson plan | to print
Develop meaning for mathematical vocabulary. 3102.1.1
Use the terminology of mathematics correctly. 3102.1.2
Understand and use mathematical symbols, notation, and common mathematical abbreviations correctly. 3102.1.3
Write a rule with variables that expresses a pattern. 3102.1.4
Use formulas, equations, and inequalities to solve real-world problems including time/rate/distance, percent increase/decrease, ratio/proportion, and mixture problems. 3102.1.5
Use a variety of strategies to estimate and compute solutions, including real-world problems. 3102.1.6
Identify missing or irrelevant information in problems. 3102.1.7
Recognize and perform multiple steps in problem solving when necessary. 3102.1.8
Identify and use properties of the real numbers (including commutative, associative, distributive, inverse, identity element, closure, reflexive, symmetric, transitive, operation properties of equality). 3102.1.9
Use algebraic properties to develop a valid mathematical argument. 3102.1.10
Word Problems For Kids - This is a set of carefully selected problems (grade 5 to Grade 12) which can help you improve your problem solving skills.
Ms. Lindquist: The Tutor - A free, web-delivered, intelligent tutoring system for tutoring students in writing expressions for algebra word problems. This site is sponsored by NSF.
Learn to solve word problems - This is a collection of word problem solvers that solve your problems and help you understand the solutions.
Solving Equations - illustrates the process of solving equations of various forms (from SOS Math)
Use manipulatives to model algebraic concepts. 3102.1.11
Create and work flexibly among representations of relations (including verbal, equations, tables, mappings, graphs). 3102.1.12
Change from one representation of a relation to another representation, for example, change from a verbal description to a graph. 3102.1.13
Apply graphical transformations that occur when changes are made to coefficients and constants in functions. 3102.1.14
Apply arithmetic concepts in algebraic contexts. 3102.1.15
Solving Equations - illustrates the process of solving equations of various forms (from SOS Math)
Understand and express the meaning of the slope and y-intercept of linear functions in real-world contexts. 3102.1.16
Connect the study of algebra to the historical development of algebra. 3102.1.17
Translate syntax of technology to appropriate mathematical notation. 3102.1.18
Recognize and practice appropriate use of technology in representations and in problem solving. 3102.1.19
Estimate solutions to evaluate the reasonableness of results and to check technological computation. 3102.1.20
Simplifying - Expressions that have had their like terms combined. Match each expression on the left with an expression on the right. Type the letter of the correct expression in the box.
Translate between representations of functions that depict real-world situations. SPI 3102.1.4
Recognize and express the effect of changing constants and/or coefficients in problem solving. SPI 3102.1.5
Determine and interpret slope in multiple contexts including rate of change in real-world problems. SPI 3102.1.6
Use appropriate technologies to apply scientific notation to real-world problems. 3102.2.6
Identify the subsets in the real number system and understand their relationships. 3102.2.7
Use multiple strategies to approximate the value of an irrational number including irrational square roots and including location on the real number line. 3102.2.8
Exponent Practice - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again.
Exponents - Unit 3 from Ms. Glosser's Math Goodies
Simplifying - Expressions that have had their like terms combined. Match each expression on the left with an expression on the right. Type the letter of the correct expression in the box.
Solving Polynomial Equations - In algebra you spend lots of time solving polynomial equations or factoring polynomials (which is the same thing). This paper ties them all together in a coherent whole.
Find the quotient of a polynomial and a monomial. 3102.3.6
Use various models (including area models) to represent products of polynomials. 3102.3.7
Find the GCF of the terms in a polynomial. 3102.3.8
Exponent Practice - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again.
Exponents - Unit 3 from Ms. Glosser's Math Goodies
Simplifying - Expressions that have had their like terms combined. Match each expression on the left with an expression on the right. Type the letter of the correct expression in the box.
Recognize and articulate when an equation has no solution, a single solution, or all real numbers as solutions. 3102.3.12
Solve multi-step linear inequalities with one variable and graph the solution on a number line. 3102.3.13
Solve absolute value equations and inequalities (including compound inequalities) with one variable and graph their solutions on a number line. 3102.3.14
Comparing two numbers on a number line from Web Math. Learn how to compare two numbers using a number line. Type each number into the boxes provided, then click "Show Me!"
Determine domain and range of a relation and articulate restrictions imposed either by the operations or by the real life situation that the function represents. 3102.3.15
Determine if a relation is a function from its graph or from a set of ordered pairs. 3102.3.16
Recognize “families” of functions. 3102.3.17
Analyze the characteristics of graphs of basic linear relations and linear functions including constant function, direct variation, identity function, vertical lines, absolute value of linear functions. Use technology where appropriate. 3102.3.18
Explore the characteristics of graphs of various nonlinear relations and functions including inverse variation, quadratic, and square root function. Use technology where appropriate. 3102.3.19
Understand that a linear equation has a constant rate of change called slope and represent slope in various forms. 3102.3.20
Algebra vs the Cockroaches - determine the slope of the line that cockroaches are crawling along to destroy them
Equation of a Line: Slope-Intercept Form - An interactive applet that will help you visualize how changing the values for the slope, m, and the y-intercept, b, will affect the graph of the equation y = mx + b.
Determine the equation of a line using given information including a point and slope, two points, a point and a line parallel or perpendicular, graph, intercepts. 3102.3.21
Express the equation of a line in standard form, slope-intercept, and point-slope form. 3102.3.22
Determine the graph of a linear equation including those that depict contextual situations. 3102.3.23
Interpret the changes in the slope-intercept form and graph of a linear equation by looking at different values of the parameters, m and b. 3102.3.24
Find function values using f(x) notation or graphs. 3102.3.25
Graph linear inequalities on the coordinate plane and identify regions of the graph containing ordered pairs in the solution. 3102.3.26
Determine the number of solutions for a system of linear equations (0, 1, or infinitely many solutions). 3102.3.27
Solve systems of linear equations graphically, algebraically, and with technology. 3102.3.28
Solve contextual problems involving systems of linear equations or inequalities and interpret solutions in context. 3102.3.29
Solve quadratic equations using multiple methods: factoring, graphing, quadratic formula, or square root principle. 3102.3.30
Determine the number of real solutions for a quadratic equation including using the discriminant and its graph. 3102.3.31
Recognize the connection among factors, solutions (roots), zeros of related functions, and x-intercepts in equations that arise from quadratic functions. 3102.3.32
Recognize data that can be modeled by an exponential function. 3102.3.33
Graph exponential functions in the form y = a(bx) where b ≠ 0. 3102.3.34
Apply growth/decay and simple/compound interest formulas to solve contextual problems. 3102.3.35
Interpret various relations in multiple representations. SPI 3102.3.6
Determine domain and range of a relation, determine whether a relation is a function and/or evaluate a function at a specified rational value. SPI 3102.3.7
Determine the equation of a line and/or graph a linear equation. SPI 3102.3.8
Solve systems of linear equation/inequalities in two variables. SPI 3102.3.9
Find the solution of a quadratic equation and/or zeros of a quadratic function. SPI 3102.3.10
Analyze nonlinear graphs including quadratic and exponential functions that model a contextual situation. SPI 3102.3.11
Interactive Proof of Pythagoras' theorem - This Java applet was written by Jim Morey. It won grand prize in Sun Microsystem's Java programming contest in the Summer of 1995.
Pythagorean Theorem - In this investigation students will learn more about the Pythagorean Theorem and see whether or not it works for triangles that are not right triangles.
Pythagorean theorem - In this session, you will look at a few proofs and several applications of one of the most famous theorems in mathematics
Solving a right triangle - This example illustrates how finding the height of the pyramid is equivalent to solving the right triangle. The virtual reality media can help students visualize the interrelation between the 3-dimensional pyramid and the 2-dimensional right triangle.
Using the Pythagorean Theorem Once you know the equation a2 + b2 = c2 is true, then you can use it to solve all kinds of problems. Try the Pythagorean theorem with two other examples given on this page
Understand horizontal/vertical distance in a coordinate system as absolute value of the difference between coordinates; develop the distance formula for a coordinate plane using the Pythagorean Theorem. 3102.4.3
Develop the midpoint formula for segments on a number line or in the coordinate plane. 3102.4.4
Use dimensional analysis to convert rates and measurements both within a system and between systems and check the appropriateness of the solution. 3102.4.5
State Performance Indicators 4.1 | 4.2 | 4.3 | 4.4
Develop and apply strategies to estimate the area of any shape on a plane grid. SPI 3102.4.1
Geometry in Action - various areas in which ideas from discrete and computational geometry (meaning mainly low-dimensional Euclidean geometry) meet some real world applications.
3-D Object Viewer - Students may explore a variety of 3-D objects and their accompanying 2-D views.
Building Houses with Side View - student constructs a block figure (dynamic, perspective drawing) to match (10 different figures)
Coloring 3-D sides - [UK spelling on this site] Find the red sides shown in a series of 2-D drawings and click on the right face of the 3-D model to color it red. 20 questions
Coloring 2-D sides - Use the colored portion of the 3-D object to color the correct side of the 2-D drawing.
Cube - Find out which colors will be on opposite faces of a cube whose faces are shown unfolded.
Guess the View - Students are given a 3-D view of an object, and then given a 2-D view of the object. Students must choose which of 6 views is being displayed from a list.
Plot Plans and Silhouettes - from Shape and Space in Geometry - the student task is to come up with plot plans that could match the given silhouettes. Background information is available at another page.
Rotating Houses - Students are presented with a 3-D figure created with blocks that can be rotated and flipped using a mouse. The figure must be rotated until it matches a 2-D representation of one of the views.
Solve contextual problems using the Pythagorean Theorem. SPI 3102.4.2
Solve problems involving the distance between points or midpoint of a segment. SPI 3102.4.3
Explore quartiles, deciles, and percentiles of a distribution. 3102.5.4
Construct and interpret various forms of data representations, (including line graphs, bar graphs, circle graphs, histograms, scatter-plots, box-and-whiskers, stem-and-leaf, and frequency tables). 3102.5.5
Creating a Scatter Plot in Excel - two elaborate examples of scatter plots; Beer's law scatter plot and linear regression, and creating a scatter plot of titration data
Scatter Plot Applet - This applet draws a scatter plot of points (a,b), where the data is taken from an input table. The table is on the left side of the applet and can be edited by the user.
Weather and Spreadsheets - Java applet which allows you to enter data and display a scatter plot or a column chart of the data entered
Draw qualitative graphs of functions and describe a general trend or shape. 3102.5.6
Compare two data sets using graphs and descriptive statistics. 3102.5.7
Examine real-world graphical relationship (including scatter-plots) to determine type of relationship (linear or nonlinear) and any association (positive, negative or none) between the variables of the data set. 3102.5.8
Finding Data on the Internet - You'll soon be checking facts and downloading reputable data on everything from public safety to education to agriculture to crime to economics ... you name it. This site is intended as a resource for journalists, but why not make this a source for projects. Your students can find raw data related to: aviation, demographics, weather, energy, health, immigration and more.
Fun and Sun Rent-a-Car - students use tables, graphs, linear functions to solve a real-world problem
Graphs and charts - four different graphs and charts for you to consider
Hand Squeeze - (a data collection and analysis class experiment) - Pass a "hand squeeze" around a circle and measure the amount of time that it takes for the hand squeeze to complete the circle.
Moneyopolis - A challenging math game, which requires you to demonstrate your math skills in the context of some real life money matters. Created by the national accounting firm Ernst & Young (free registration required)
Plane Math - Nine activities involving aviation and mathematic
Real World Mathematics - One of the challenges facing mathematics teachers is convincing their students that there is a place for mathematics in the real world. The goal of this page is to collect examples of those applications. This is a SCORE (Schools of California - Online Resources for Educators) page.
What are Your Chances - What many people refer to as 'good luck' can actually be explained by a little knowledge about probability and statistics. Our dice game allows you to see how increasing or decreasing the number of dice rolls effects an outcome.
Determine an equation for a line that fits real-world linear data; interpret the meaning of the slope and y-intercept in context of the data. 3102.5.9
Using technology with a set of contextual linear data to examine the line of best fit; determine and interpret the correlation coefficient. 3102.5.10
Use an equation that fits data to make a prediction. 3102.5.11
Use techniques (Venn Diagrams, tree diagrams, or counting procedures) to identify the possible outcomes of an experiment or sample space and compute the probability of an event. 3102.5.12
Probability Theory: The Layman's Guide to Probability - An in-depth but easily readable guide on probability theory, covering various aspects of the theory with a bias to gambling games and strategies. Includes working examples in an excel spreadsheet.
Coin Flipping - Click the Flip Coin button. Number of flips, number of heads, and probability of flipping heads is displayed. (one click per flip)
Ken White's Coin Flipping page - flip up to 100 coins and see the total number of heads and tails. Excellent for teaching about probability.
What are Your Chances - What many people refer to as 'good luck' can actually be explained by a little knowledge about probability and statistics. Our dice game allows you to see how increasing or decreasing the number of dice rolls effects an outcome.
Determine the complement of an event and the probability of that complement. 3102.5.13
Determine if two events are independent or dependent. 3102.5.14
Explore joint and conditional probability. 3102.5.15
Identify situations for which the Law of Large Numbers applies. 3102.5.16
Perform simulations to estimate probabilities. 3102.5.17
Make informed decisions about practical situations using probability concepts. 3102.5.18
Probability Theory: The Layman's Guide to Probability - An in-depth but easily readable guide on probability theory, covering various aspects of the theory with a bias to gambling games and strategies. Includes working examples in an excel spreadsheet.
Coin Flipping - Click the Flip Coin button. Number of flips, number of heads, and probability of flipping heads is displayed. (one click per flip)
Ken White's Coin Flipping page - flip up to 100 coins and see the total number of heads and tails. Excellent for teaching about probability.
What are Your Chances - What many people refer to as 'good luck' can actually be explained by a little knowledge about probability and statistics. Our dice game allows you to see how increasing or decreasing the number of dice rolls effects an outcome.
Creating a Scatter Plot in Excel - two elaborate examples of scatter plots; Beer's law scatter plot and linear regression, and creating a scatter plot of titration data
Scatter Plot Applet - This applet draws a scatter plot of points (a,b), where the data is taken from an input table. The table is on the left side of the applet and can be edited by the user.
Howe-Two Online Gateway Skills Assessment - Quiz questions based on a quiz prepared by Anderson County Teachers based on Gateway Performance Objectives modified by Leslie Howe, a Farragut High School math teacher. (Note: the results page offers software for sale, but students may take this test as many times as needed without a purchase.)
Take a Gateway Practice Test - (close the test to come back to this list) This nine-page test was prepared by Anderson County teachers
Multiple Review Activities
28 E-Lab Activities for eighth grade level mathematics from Harcourt School Publishers
Algebra Help - in-depth algebra help through algebra history, an online textbook, and various articles covering everything from basic algebra fundamentals to the latest-and-greatest algebra software help available
AAAMath offers a large number of math review topics, each one supported by an interactive practice page (8th grade level)
a site for teachers | 
a PowerPoint show | 
a Word document
sound | 
video format | 
interactive lesson | 
Using Excel to create a Scatter Plot
