Gateway - Algebra I

Links verified 3/13/2012

(Algebra I new standards )





Number Sense | Estimation, Measurement & Computation | Patterns, Functions, and Algebraic Thinking | Statistics and Probability | Spatial Sense & Geometric Concepts | Multiple Review Activities

Tennessee item sampler | Tennessee Practice Test


Indiana Item Sampler | Analysis of Incorrect Responses - Indiana


Released tests-

Texas Released Tests
Virginia DOE index of released tests
FCAT Sample Test Book - [ 2008 ] sample questions and test taking tips
FCAT Sample Answer Book - [ 2008 ] sample questions and test taking tips
Virginia Standards of Learning - Select Algebra I and 10, 20 or 40 questions - Repeat for a new set of questions
SOL Algebra I & II resources - posted by Rockingham County Public Schools

site for teachers | PowerPoint show | Acrobat document | Word document | whiteboard resource | sound | video format | interactive lesson | a quiz | lesson plan | to print

Standard 1 - Number Sense and Number Theory The student will recognize, represent, model, and apply real numbers and operations verbally, physically, symbolically, and graphically.
Level 1
Select the best estimate for the coordinate of a given point on a number line	Graphing Equations and Inequalities Unit Quiz Create a Haunted House.....if you dare! - Follow directions to sharpen your graphing skills, create a cool haunted house and then morph it using math. Expressions, Equation Solving and Graphing in the Coordinate Plane - The Haunted house and many more coordinate plane practice problems
Identify the opposite of a rational number	Interactive Algebra Review on the topic of real numbers Rational Number Tutorial - This tutorial will help you understand the significance of the minimum and maximum integers in a rational number system and the meaning of overflow. A proof that all square roots of primes are irrational
Determine the square root of a perfect square less than 169	Identify Perfect Squares - practice exercises at Math Pinball Simplifying Radical Expressions - Intermediate Algebra tutorial Simplifying Radicals - basic information about perfect square numbers [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Simplifying Radicals - explanation and practice problems Square Roots - Find the square root of a perfect square number. (a matching game like concentration) Squares and Square Roots - to understand square roots, first you must understand squares
Use exponents to simplify a monomial written in expanded form	Converting Numbers to Scientific Notation - AAA Math lesson and practice problems & Cube of a Number - AAA Math lesson and practice problems & Evaluating Exponents of Negative Numbers - AAA Math lesson and practice problems & 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 Interactive Algebra Review on Integer Exponents Scientific Notation - interactive practice 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.
Use manipulatives to represent commutative and associative properties of addition and multiplication	Commutative and Associative Properties of Addition Multiplication Properties - Page colors are way too bright, but the interactive practice section is really good.
Investigate alternate algorithms that show the relationship of division to subtraction and multiplication to addition	Inverse relationship of Addition and Subtraction - this site has a good interactive practice section Inverse Relationship between Division and Multiplication - look at their interactive practice section
Analyze prime and composite numbers	The Prime Pages - prime number research, records and resources ( Look at a prime number speed limit sign :-) Prime and Composite Numbers - list the factors of numbers and identify which numbers are prime or composite (an E-lab from Harcourt School Publishers)
Compare and contrast the GCF and LCM of a set of numbers	Factoring out the Greatest Common Factor - practice exercises at Math Pinball Finding the Greatest Common Factor of 2 or 3 Numbers - practice exercises at Math Pinball Finding the Greatest Common Factor of Variable Expressions - practice exercises at Math Pinball LCM and GCF - To find either the Least Common Multiple (LCM) or Greatest Common Factor (GCF) of two numbers, you always start out the same way Investigating LCM and GCF Using Rods GCF & LCM - enter two values and this site will solve for GCF and LCM Interactive Algebra Review - Factoring Algebraic Expressions
Level 2
Order a given set of rational numbers	Comparing Seven Digit Numbers - practice area followed by an interactive game Rational and Irrational number review
Identify the reciprocal of a rational number	Rational Number and its Reciprocal - a step-by-step examination of a problem by Dr. Math How do I find the reciprocal of a decimal mixed number? - an answer to a student's question
Select ratios and proportions to represent real-world problems	Proportional Thinking and Probability - here you will find the Customizable Proportion Problems and much more Percent and Proportion - unit 10 from Ms. Glosser's Math Goodies Ratio and Proportion - four stage lesson includes examples and a set of workout problems
Probe the relationships among various subsets of the real number system	Subsets of the Real Number System
Construct a number line to describe the absolute value of a number as distance from zero	Determining the Sign of Absolute Value Expressions - practice exercises at Math Pinball 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!" Line Jumper - Funbrain number line ( choose Super Brain ! ) Number Line Bounce - Instructions on how to play are included at the top of the window. Number Line: Comparing and Ordering Integers - practice with an Interactive Adventure with Deep Sea Carl . Carl is diving in the Great Barrier Reef off the coast of Australia. These waters are shark infested. Keep Carl safe by determining how many feet below sea level Jaws Daddy is. Visualizing Numbers on an Interactive Number Line - instructions for using this activity are included Simplifying Basic Absolute Value Expressions - practice exercises at Math Pinball
Model operations using real-world situations and physical representations	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. [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Math in Daily Life: How do numbers affect everyday decisions? - A unit from Annenberg CPB which includes several hands-on activities. 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) [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Plane Math - Nine activities involving aviation and mathematic
Explore various representations of absolute value	Absolute Value - an algebra lesson from PurpleMath Absolute Value - [resources from Oswego City School District Regents Exam Prep] [These expired links are available through the Wayback Machine Internet Archive. If the pages don't load quickly click on Impatient? at the bottom right of the page.] Lesson on Absolute Value Practice Problems Lesson Plan for Whiteboard Drill Absolute Value Inequalities - using the geometric definition of the absolute value Solving Equations with Absolute Values on One Side [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Solving Absolute Value Equations - a lesson from Purple Math
Level 3
Apply the concept of slope to represent rate of change in a real-world situation	Algebra vs the Cockroaches - determine the slope of the line that cockroaches are crawling along to destroy them Linear Functions, Slope and Regressions - one example is the Kalamazoo Wal-mart Live or Die Scenario 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. Slope Intercept Jeopardy review game in the form of a PowerPoint show
Research the history of prime numbers and their uses	Prime numbers and their properties were first studied extensively by the ancient Greek mathematicians The Prime Pages - prime number research, records and resources Sieve of Eratosthenes - Eratosthenes invented a method for efficiently constructing tables of prime numbers Dr. Math teaches about prime numbers

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Standard 2 - Estimation, Measurement, and Computation The student will apply appropriate tools and units of measurement; develop effective estimation and computation strategies for producing reasonable results; and calculate using appropriate tools such as mental mathematics, technology, manipulatives, and pencil-and-paper.
Level 1
Apply order of operations when computing with integers using no more than two sets of grouping symbols and exponents 1 and 2	Algebra: Order of Operations - a quiz from Quia Calculations Using Order of Operations - AAA Math lesson and practice problems & Evaluating Algebraic Expressions - Order of Operations/P.E.M.D.A.S. Evaluating Algebraic Expressions - from Regents Prep [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Order of Operations - Math Goodies from Ms. Glosser Order of Operations - 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. Order of operations game from Funbrain.com (easier levels are available) Order of Operations What's Wrong? Order of Operations: What to Do First - a 25 slide PowerPoint show Order of Operations [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Order of Operations - practice problems [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Order of Operations - a matching grid pattern game [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Order of Operations Game - Drag the numbers and the operation signs on the wood board to complete the equality Order of Operations Game - from MathFrog Order of Operations with Exponents - Math Goodies from Ms. Glosser Order Ops -The royal family has been abducted! As a knight in The Order of Operations, you must use your math skills to come to their rescue. Order of Operations Pretest - ten multiple choice questions Order of Operations Tutorial - introduction, explanation, examples and a workout of sample problems Order of Operations Tutorial - work through several examples Practice with Order of Operations - ten practice problems [answers available] [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Practice with Order of Operations - Get out your pencils and calculators and give these a try!
Calculate rates involving cost per unit to determine the best buy	Global Grocery List Project - Students share local grocery prices to build a growing table of data to be used in social studies, science, health, mathematics, and other disciplines. Uncle Vito's New York Pizza has an online menu and sizes all in one place. This would be a good source of data to practice unit cost.
Justify the selection of a unit of measure in specific situations	Convert Auto - convert just about anything automatically with this new site How Many? - a dictionary of units of measurement Interactive Units Converter - Halfway down the page you will find interactive calculators for many measurement systems both commonly used like metric and U.S. Avoirdupois and quite exotic like Ancient Greek and Roman. Measure converter - Full Conversion Table (sorted by Measure Unit Name) Measure4measure - a collection of interactive sites on the web that estimate, calculate, evaluate, translate etc. In other words, they do the work for you. [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] A Dictionary of Units - This provides a summary of most of the units of measurement to be found in use around the world today (and a few of historical interest), together with the appropriate conversion factors needed to change them into a 'standard' unit of the SI.
Refine strategies for estimating whole numbers, fractions, and percentages	Developing Estimation Strategies by Making Connections among Number, Geometry, Measurement, and Data Concepts - from NCTM Percent - graphical examples and practice problems Writing Fractions as Percent - unit 4 from Ms. Glosser's Math Goodies
Discover and explain formulas used to compute area and volume.	Area and Volume from Ask Dr. Math - A simple way to think about area and volume
Level 2
Add and subtract algebraic expressions	A concentration type game from Quia using algebraic expressions - If d=2 match the algebraic expressions to the correct answers. Interactive Algebra Review - Rational Algebraic Expressions
Multiply two polynomials with each factor having no more than two terms	Factoring Trinomials - practice exercises at Math Pinball Factoring Trinomials Self Quiz - Check your knowledge about factoring polynomials. [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Interactive Algebra Review - Multiplying Algebraic Expressions Interactive Algebra Review - Solving Polynomial Equations (see also part B of this tutorial ) Multiplying Polynomials - a step-by-step explanation from PurpleMath 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.
Use estimation to determine a reasonable solution for a tedious arithmetic computation	Calculating the nth Term - how to develop a formula that can be used to calculate these terms Curious and Useful Math - Here you will find tricks and rules for quickly calculating certain types of math problems. Developing Estimation Strategies by Making Connections among Number, Geometry, Measurement, and Data Concepts: Estimating Scoops - NCTM lesson plan including video segments K-12 Math Problems, Puzzles, Tips & Tricks from the Math Forum
Defend an estimate for the volume of a container	An Introduction To Volume This lesson is a pure text document, but outlines an interesting experiment using popcorn. Estimating How Much Your Fish Weighs - two suggestions that depend upon figuring out the volume of a fish [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.]
Add, subtract, and perform scalar multiplication on matrices using appropriate technology	Scalar Multiplication - Vectors can be multiplied by a scalar (a number). [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Scalar multiplication - the multiplication of a vector by a constant s, producing a vector in the same (for s > 0) or opposite (for s < 0) direction but of different length. Resultant of Forces - This applet deals with forces exerted on a body. You can vary the number of single forces by using the choice box at the ride side. It is possible to change the sizes and directions of these forces by dragging the arrowheads to the intended positions with pressed mouse button. Resolution of a Force into Components - java applet
Explain the importance of the value of the determinant of a matrix.	Determinant of a Matrix - an explanation from Dr. Math

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Standard 3 - Patterns, Functions, and Algebraic Thinking The student will describe, extend, analyze, and create a wide variety of patterns and functions using appropriate materials and representations in real world problem solving.
Level 1
extend a geometric pattern	Analyzing Numeric and Geometric Patterns of Paper Pool - an activity from Illuminations, the NCTM site.
extend a numerical pattern	Mystery Operations - the computer makes up a mystery operation, and you have to figure out what the operation is Number Patterns - involving exchange of Valentines
translate a verbal expression into an algebraic expression	Basic Algebra - Lesson 5 - Expressions from Sentences Learn to Solve Word Problems - (a collection of word problem solvers that solve your problems and help you understand the solutions) All problems are customizable (meaning that you can change all parameters). 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. (the New Ms. Lindquist ) Taming Word Problems - a WebQuest on how to solve word problems 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.
solve one- and two-step linear equations using integers	Linear Equation Solvers - Practice Linear Equations! Improves your test scores! Linear Equations Solver Calculator - solves linear equations in the form; ax + b = cx + d Linear Equation Solver from Algebra.com Linear Equation Solver - a pop-up window allows users to specify the number of equations Solving Linear Equations Solving addition and subtraction equations - 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. Solving Simple Linear Equations with Integer Coefficients - practice exercises at Math Pinball [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Solving More Complicated Linear Equations with Integer Coefficients - practice exercises at Math Pinball [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.]
Level 2
translate a verbal sentence into an algebraic equation	Translating Word Problems - The hardest thing about doing word problems is taking the English problem and translating it into math. A lesson from Purplemath, a great Algebra resource. Solving Math Word Problems - A Study Guides and Strategies web site posted by the University of St. Thomas Algebra - Fun with Calendars
select the graph that represents a given linear function expressed in slope-intercept form	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. Slope Intercept Jeopardy review game in the form of a PowerPoint show Slope of the Stairs - use this java applet to investigate the concept (written by someone in Japan, please overlook their spelling :-)
solve multi-step linear equations	Linear Equation Solver - You type in the equation. The equation solver will solve it for you with an explanation of how the problem was done. Rags to Riches Game - [ This link opens in a new window ] a fun practice for 1-step, 2-step and multi-step equations. The game is similar in nature to "Who Wants to Be a Millionaire" Solving Simple Linear Equations with Integer Coefficients - practice exercises at Math Pinball [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Solving More Complicated Linear Equations with Integer Coefficients - practice exercises at Math Pinball [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.]
determine the slope from the graph of a linear equation	Linear Equation Test - Can you work out the answers? Use the multiple choice boxes or the radio buttons to select your answer. Find the graph that best matches the linear equation [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Linear Functions Part A : Basics: Slope and Intercept Part B : Finding the Equation of a Line
apply the concept of rate of change to solve real-world problems	Stressed Out - Slope as Rate of Change
explore patterns in Pascal's Triangle and a Fibonacci sequence	Pascal's Triangle Interface Exploring Pascal's Triangle: Lessons from the Math Forum Pascal's Triangle and the ice cream cones Pascal Triangle Applet - This applet graphically presents the Pascal triangle The Fibonacci Sequence - How many pairs of rabbits will be produced in a year, beginning with a single pair, if in every month each pair bears a new pair which becomes productive from the second month on? The Mathematics of the Fibonacci series Fibonacci Numbers and Nature Easier Fibonacci puzzles - Puzzles on this page have fairly straight-forward and simple explanations as to why their solution involves the Fibonacci numbers Harder Fibonacci Puzzles - Puzzles on this page are harder to explain but they still have the Fibonacci Numbers as their solutions
solve a system of two linear equations using the graphing, elimination, and substitution methods	Systems of Linear Equations - an introduction which considers three situations both algebraically and geometrically
model the steps for solving simple linear equations using manipulatives	Mathematical problem solving . Linear equations, simple algebra. ( Ignore the banner at the top of this page )
justify correct results of algebraic procedures	On Valentine's Day, every friend gives a valentine to each of the other friends. How many valentines are exchanged? solve a simple problem, and keep track of how you did it, in order to solve a more complex problem.
Level 3
solve multi-step linear inequalities in real-world situations	Inequalities Workout at Math.com Practice with Solving Inequalities [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Solving Inequalities: Overview - from Purple Math
determine the domain and/or range of a function represented by the graph of real-world situations	Functions - There are different ways of looking at functions. This lesson from Purple Math will consider a few. Domain, Range, Derivative, 1-D Kinematics - [ This link opens in a new window ] a Quia quiz
analyze "families of functions" using technology	Explore Families of Functions - Families of Functions you need to know This page opens in a new window. Close the window to return to this page. Families of Functions - includes a picture of the function family at home Families of Functions - graph-description match game Links to twelve other function family games Four Basic Function Families - Function Machine Introduction to the Four Basic Function Families [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.]

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Standard 4 - Statistics and Probability The student will collect, organize, represent, and interpret data; make inferences and predictions; present and evaluate inferences and predictions; present and evaluate arguments based on data analysis; and model situations to determine theoretical and experimental probabilities.
Graphing Calculator from CoolMath - The Graph Applet 1.0 is a full featured Graphing Calculator with some rare features added.
Level 1
identify ordered pairs in the coordinate plane	Practice from Math.com: The coordinate plane , Slope and y-intercept , and Graphing linear equations . Coordinate Geometry - use this PowerPoint show to teach the concept of ordered pairs [consider changing the text animation] (author Monica Yuskaitis) Battle Graph - teach your students about graphing on a coordinate plane. A PowerPoint show designed by Sarah Grabowski, University of Georgia, July 9, 2003 What's the Point? - a coordinate plane game from Funbrain.com (use the hardest level)
determine the mean (average) of a given set of real-world data	Comparing Properties of the Mean and the Median through the use of Technology
interpret bar graphs representing real-world data	Using Data and Statistics - good graphs, however they are not interactive Graphs and charts - four different graphs and charts for you to consider
interpret circle graphs (pie charts) representing real-world data	Graphs and charts - four different graphs and charts for you to consider
design a strategy for collecting real-world data for a scientific investigation	What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment
collect and organize real-world data	Using Graphs, Equations, and Tables to Investigate the Elimination of Medicine from the Body - This three-part example illustrates the use of iteration, recursion, and algebra to model and analyze the changing amount of medicine in an athlete's body. Review of tables, charts and graphs - an index of topics Fun and Sun Rent-a-Car - students use tables, graphs, linear functions to solve a real-world problem 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. 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. What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment 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.
Level 2
make a prediction from the graph of a real-world linear data set
determine the median for a given set of real-world data	Comparing Properties of the Mean and the Median through the use of Technology - 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.
graph real-world data using a variety of representations	Using Graphs, Equations, and Tables to Investigate the Elimination of Medicine from the Body - This three-part example illustrates the use of iteration, recursion, and algebra to model and analyze the changing amount of medicine in an athlete's body.
judge the validity of claims made in probabilistic situations	Probabilistic Situations - a short slide show on the topic 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. 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. Interactive Probability Tutorials: Sample Spaces and Events , Estimated Probability , Empirical Probability , Abstract Probability and Conditional Probability and Independence
Level 3
apply counting principles of permutations or combinations in real-world situations

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Standard 5 Spatial Sense and Geometric Concepts The student will investigate, model, and apply geometric properties and relationships.
Level 1
estimate the area of irregular geometric figures on a grid	Square Skate - Divide this figure into four identical parts (of the same shape and size) which may form the square as shown in the figure. Other geometric dissections on the web - A geometric dissection is a cutting of one or more figures into pieces that can be rearranged to form other figures. Dissections are often cast as puzzles, in which the object is to use as few pieces as possible. These geometrical puzzles fall under the category of mathematical recreations.
apply the given formula to determine the area or perimeter of a rectangle	Challenge Exercises: Perimeter & Area of Polygons
describe real-world uses of geometric formulas and relationships	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.
Level 2
apply the given formula to find the area of a circle, the circumference of a circle, or the volume of a rectangular solid	Lesson on Circumference of a Circle Challenge Exercises: Area of a Circle Circle, Sphere & Cylinder Calculator
apply the given Pythagorean Theorem to a real life problem illustrated by a diagram	The Pythagorean Theorem, Distance Formula and Intro to Trigonometry - practice activities Animated Proof of the Pythagorean Theorem Pythagorean theorem - In this session, you will look at a few proofs and several applications of one of the most famous theorems in mathematics
apply proportion and the concepts of similar triangles to find the length of a missing side of a triangle	Geometry Java Applets - instructions for use of the applet and a table of contents Virtual Manipulative - Similar Triangles A Mathematical Droodle - Two Triples of Similar Triangles
explain how to determine if a triangle is a right triangle given the measurements of all three sides	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. Pythagorean theorem and right triangle facts - given the length of three sides, determine if a right triangle is being described Ratio of the Sides of a Right Triangle
design a concept map showing connections among polygons (i.e. quadrilateral, parallelogram, rectangle, rhombus, square, and trapezoid)	Quadrilateral Family - Can you stand a big dose of cute? If so this page might be very helpful. [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Working with Quadrilaterals - an interactive quiz [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Figures and polygons - a large number of polygons are illustrated
illustrate the Pythagorean Theorem by measuring the length, width, and diagonals of rectangular objects	Demonstrate the Pythagorean Theorem - from NOVA Nineteen Pythagorean Theorem applets Using the Pythagorean Theorem Once you know the equation a 2 + b 2 = c 2 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 Pythagorean Theorem - a java applet that allows students to investigate this theorem. An 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 and its many proofs (43 to be precise)
Level 3
calculate the distance between two points given the Pythagorean Theorem and the distance formula	How to use the distance formula to find distances between (x,y) points
determine the height of an object that is difficult to measure by using the properties of similar triangles or the angle of elevation	Determine the altitude of a flying kite Object Height Calculator - Use the SCSA Object Height Calculator to calculate the height of tall shadow-casters, e.g., buildings, flagpoles, utility poles, trees, etc. Out of the Shadows: The Problem of Slopes - Knowing the sun's elevation is not enough to determine the height of an object from the length of its shadow; the slope of the surface on which the shadow is being cast must also be known. Rocket Altitude Determination Using the Apogee Method - this lab uses a water rocket and includes a printable sample of the angle determination device [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Rocket Lab - a way to determine the maximum altitude the rocket reaches at the end of the coasting flight

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.)

Multiple Review Activities

Interactive online End of Course Algebra Review - [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] SOS Mathematics - Algebra lessons Take a Gateway Practice Test - This nine-page test was prepared by Anderson County teachers AAAMath offers a large number of math review topics , each one supported by an interactive practice page (8th grade level) Practical Algebra Lessons from PurpleMath - The lessons give practical tips, hints, and examples, and point out common mistakes. National Library of Virtual Manipulatives - Virtual manipulatives related to the NCTM Number & Operations standard. Practice Tests from Virginia State Standards of Learning - Select Algebra I or II , and then select 10, 20, or 40 questions. 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