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Algebra 1 - Gateway

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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 This is an Adobe Acrobat .pdf document


Indiana Item Sampler
| Analysis of Incorrect Responses - Indiana


Released tests-

Texas Released Tests
Virginia DOE index of released tests This is an Adobe Acrobat document
FCAT Sample Test Book - [ 2008 ] sample questions and test taking tips This is an Adobe Acrobat document This link includes something for the teacher to print
FCAT Sample Answer Book - [ 2008 ] sample questions and test taking tips This is an Adobe Acrobat document This link includes something for the teacher to print
Virginia Standards of Learning - Select Algebra I and 10, 20 or 40 questions - Repeat for a new set of questions This site includes questions for your students to check their understanding
SOL Algebra I & II resources - posted by Rockingham County Public Schools

A resource for the teacher to use in planning their lessons site for teachers | A PowerPoint show related to this standard PowerPoint show | An Adobe Acrobat document in .pdf format Acrobat document | A Microsoft Word document to be downloaded Word document | This interactive site would work well on an interactive whiteboard whiteboard resource | This resource includes voice instructions for students sound | A video is available through this link video format | This site is interactive and allows students to play a game or input or collect data interactive lesson | This site includes questions for your students to check their understanding a quiz | A lesson plan can be found at this site lesson plan | This link includes something for the teacher to print 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
  1. Graphing Equations and Inequalities Unit Quiz This site includes questions for your students to check their understanding
  2. 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. A lesson plan can be found at this site
  3. 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
  1. Interactive Algebra Review on the topic of real numbers This site includes questions for your students to check their understanding
  2. 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. This site is interactive and allows students to play a game or input or collect data
  3. A proof that all square roots of primes are irrational
Determine the square root of a perfect square less than 169
  1. Identify Perfect Squares - practice exercises at Math Pinball This site is interactive and allows students to play a game or input or collect data
  2. Simplifying Radical Expressions - Intermediate Algebra tutorial
  3. 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.]
  4. Simplifying Radicals - explanation and practice problems
  5. Square Roots - Find the square root of a perfect square number. (a matching game like concentration) This site is interactive and allows students to play a game or input or collect data
  6. Squares and Square Roots - to understand square roots, first you must understand squares
Use exponents to simplify a monomial written in expanded form
  1. Converting Numbers to Scientific Notation - AAA Math lesson and practice problems This site is interactive and allows students to play a game or input or collect data & This site includes questions for your students to check their understanding
  2. Cube of a Number - AAA Math lesson and practice problems This site is interactive and allows students to play a game or input or collect data & This site includes questions for your students to check their understanding
  3. Evaluating Exponents of Negative Numbers - AAA Math lesson and practice problems This site is interactive and allows students to play a game or input or collect data & This site includes questions for your students to check their understanding
  4. 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. This site is interactive and allows students to play a game or input or collect data
  5. Exponents - Unit 3 from Ms. Glosser's Math Goodies
  6. Interactive Algebra Review on Integer Exponents This site is interactive and allows students to play a game or input or collect data
  7. Scientific Notation - interactive practice This site is interactive and allows students to play a game or input or collect data
  8. 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. This site includes questions for your students to check their understanding
Use manipulatives to represent commutative and associative properties of addition and multiplication
  1. Commutative and Associative Properties of Addition
  2. Multiplication Properties - Page colors are way too bright, but the interactive practice section is really good. This site is interactive and allows students to play a game or input or collect data
Investigate alternate algorithms that show the relationship of division to subtraction and multiplication to addition
  1. Inverse relationship of Addition and Subtraction - this site has a good interactive practice section This site is interactive and allows students to play a game or input or collect data
  2. Inverse Relationship between Division and Multiplication - look at their interactive practice section This site is interactive and allows students to play a game or input or collect data
Analyze prime and composite numbers
  1. The Prime Pages - prime number research, records and resources ( Look at a prime number speed limit sign :-)
  2. Prime and Composite Numbers - list the factors of numbers and identify which numbers are prime or composite (an E-lab from Harcourt School Publishers) This site is interactive and allows students to play a game or input or collect data
Compare and contrast the GCF and LCM of a set of numbers
  1. Factoring out the Greatest Common Factor - practice exercises at Math Pinball This site is interactive and allows students to play a game or input or collect data
  2. Finding the Greatest Common Factor of 2 or 3 Numbers - practice exercises at Math Pinball This site is interactive and allows students to play a game or input or collect data
  3. Finding the Greatest Common Factor of Variable Expressions - practice exercises at Math Pinball This site is interactive and allows students to play a game or input or collect data
  4. 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
  5. Investigating LCM and GCF Using Rods
  6. GCF & LCM - enter two values and this site will solve for GCF and LCM This site is interactive and allows students to play a game or input or collect data
  7. Interactive Algebra Review - Factoring Algebraic Expressions This site is interactive and allows students to play a game or input or collect data
Level 2
Order a given set of rational numbers
  1. Comparing Seven Digit Numbers - practice area followed by an interactive game This site is interactive and allows students to play a game or input or collect data
  2. Rational and Irrational number review
Identify the reciprocal of a rational number
  1. Rational Number and its Reciprocal - a step-by-step examination of a problem by Dr. Math
  2. 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
  1. Proportional Thinking and Probability - here you will find the Customizable Proportion Problems and much more
  2. Percent and Proportion - unit 10 from Ms. Glosser's Math Goodies
  3. 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
  1. Subsets of the Real Number System
Construct a number line to describe the absolute value of a number as distance from zero
  1. Determining the Sign of Absolute Value Expressions - practice exercises at Math Pinball This site is interactive and allows students to play a game or input or collect data
  2. 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!" This site is interactive and allows students to play a game or input or collect data
  3. Line Jumper - Funbrain number line ( choose Super Brain ! ) This site is interactive and allows students to play a game or input or collect data
  4. Number Line Bounce - Instructions on how to play are included at the top of the window. This site is interactive and allows students to play a game or input or collect data
  5. 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. This site is interactive and allows students to play a game or input or collect data Visualizing Numbers on an Interactive Number Line - instructions for using this activity are included This site is interactive and allows students to play a game or input or collect data
  6. Simplifying Basic Absolute Value Expressions - practice exercises at Math Pinball This site is interactive and allows students to play a game or input or collect data
Model operations using real-world situations and physical representations
  1. 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.]
  2. Math in Daily Life: How do numbers affect everyday decisions? - A unit from Annenberg CPB which includes several hands-on activities.
  3. 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 site is interactive and allows students to play a game or input or collect data [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.]
  4. Plane Math - Nine activities involving aviation and mathematic This site is interactive and allows students to play a game or input or collect data
Explore various representations of absolute value
  1. Absolute Value - an algebra lesson from PurpleMath
  2. 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.]
    1. Lesson on Absolute Value
    2. Practice Problems This site includes questions for your students to check their understanding
    3. Lesson Plan for Whiteboard Drill A lesson plan can be found at this site
  3. Absolute Value Inequalities - using the geometric definition of the absolute value
  4. 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.]
  5. 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
  1. Algebra vs the Cockroaches - determine the slope of the line that cockroaches are crawling along to destroy them This site is interactive and allows students to play a game or input or collect data
  2. Linear Functions, Slope and Regressions - one example is the Kalamazoo Wal-mart Live or Die Scenario
  3. 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. This site is interactive and allows students to play a game or input or collect data
  4. A PowerPoint show related to this standardSlope Intercept Jeopardy review game in the form of a PowerPoint show
Research the history of prime numbers and their uses
  1. Prime numbers and their properties were first studied extensively by the ancient Greek mathematicians
  2. The Prime Pages - prime number research, records and resources
  3. Sieve of Eratosthenes - Eratosthenes invented a method for efficiently constructing tables of prime numbers
  4. Dr. Math teaches about prime numbers

return to the top of the page
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
  1. Algebra: Order of Operations - a quiz from Quia This site includes questions for your students to check their understanding
  2. Calculations Using Order of Operations - AAA Math lesson and practice problems This site is interactive and allows students to play a game or input or collect data & This site includes questions for your students to check their understanding
  3. Evaluating Algebraic Expressions - Order of Operations/P.E.M.D.A.S.
  4. 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.] This site is interactive and allows students to play a game or input or collect data
  5. Order of Operations - Math Goodies from Ms. Glosser
  6. 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. This site is interactive and allows students to play a game or input or collect data
  7. Order of operations game from Funbrain.com (easier levels are available) This site is interactive and allows students to play a game or input or collect data
  8. A PowerPoint show related to this standardOrder of Operations What's Wrong?
  9. A PowerPoint show related to this standardOrder of Operations: What to Do First - a 25 slide PowerPoint show
  10. Order of Operations A lesson plan can be found at this site [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.]
  11. 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.] This site includes questions for your students to check their understanding
  12. A resource for the teacher to use in planning their lessonsOrder 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.] This link includes something for the teacher to print
  13. Order of Operations Game - Drag the numbers and the operation signs on the wood board to complete the equality This site is interactive and allows students to play a game or input or collect data
  14. Order of Operations Game - from MathFrog This site includes questions for your students to check their understanding
  15. Order of Operations with Exponents - Math Goodies from Ms. Glosser
  16. 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.
  17. Order of Operations Pretest - ten multiple choice questions This site includes questions for your students to check their understanding
  18. Order of Operations Tutorial - introduction, explanation, examples and a workout of sample problems
  19. Order of Operations Tutorial - work through several examples This site is interactive and allows students to play a game or input or collect data
  20. 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.]This site includes questions for your students to check their understanding
  21. Practice with Order of Operations - Get out your pencils and calculators and give these a try! This site includes questions for your students to check their understanding
Calculate rates involving cost per unit to determine the best buy
  1. 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.
  2. 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
  1. Convert Auto - convert just about anything automatically with this new site This site is interactive and allows students to play a game or input or collect data
  2. How Many? - a dictionary of units of measurement
  3. 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. This site is interactive and allows students to play a game or input or collect data
  4. Measure converter - Full Conversion Table (sorted by Measure Unit Name)
  5. 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.]
  6. 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
  1. Developing Estimation Strategies by Making Connections among Number, Geometry, Measurement, and Data Concepts - from NCTM A lesson plan can be found at this site
  2. Percent - graphical examples and practice problems
  3. Writing Fractions as Percent - unit 4 from Ms. Glosser's Math Goodies
Discover and explain formulas used to compute area and volume.
  1. Area and Volume from Ask Dr. Math - A simple way to think about area and volume
Level 2
Add and subtract algebraic expressions
  1. A concentration type game from Quia using algebraic expressions - If d=2 match the algebraic expressions to the correct answers. This site includes questions for your students to check their understanding
  2. Interactive Algebra Review - Rational Algebraic Expressions This site is interactive and allows students to play a game or input or collect data
Multiply two polynomials with each factor having no more than two terms
  1. Factoring Trinomials - practice exercises at Math Pinball This site is interactive and allows students to play a game or input or collect data
  2. 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.] This site includes questions for your students to check their understanding
  3. Interactive Algebra Review - Multiplying Algebraic Expressions This site is interactive and allows students to play a game or input or collect data
  4. Interactive Algebra Review - Solving Polynomial Equations (see also part B of this tutorial ) This site is interactive and allows students to play a game or input or collect data
  5. Multiplying Polynomials - a step-by-step explanation from PurpleMath
  6. 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
  1. Calculating the nth Term - how to develop a formula that can be used to calculate these terms
  2. Curious and Useful Math - Here you will find tricks and rules for quickly calculating certain types of math problems.
  3. Developing Estimation Strategies by Making Connections among Number, Geometry, Measurement, and Data Concepts: Estimating Scoops - NCTM lesson plan including video segments A lesson plan can be found at this site
  4. K-12 Math Problems, Puzzles, Tips & Tricks from the Math Forum
Defend an estimate for the volume of a container
  1. A resource for the teacher to use in planning their lessonsAn Introduction To Volume This lesson is a pure text document, but outlines an interesting experiment using popcorn. A lesson plan can be found at this site
  2. 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
  1. 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.]
  2. 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.
  3. 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. This site is interactive and allows students to play a game or input or collect data
  4. Resolution of a Force into Components - java applet This site is interactive and allows students to play a game or input or collect data
Explain the importance of the value of the determinant of a matrix.
  1. Determinant of a Matrix - an explanation from Dr. Math
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
  1. Analyzing Numeric and Geometric Patterns of Paper Pool - an activity from Illuminations, the NCTM site. This site is interactive and allows students to play a game or input or collect data
extend a numerical pattern
  1. Mystery Operations - the computer makes up a mystery operation, and you have to figure out what the operation is This site is interactive and allows students to play a game or input or collect data
  2. Number Patterns - involving exchange of Valentines This site is interactive and allows students to play a game or input or collect data
translate a verbal expression into an algebraic expression
  1. Basic Algebra - Lesson 5 - Expressions from Sentences A lesson plan can be found at this site
  2. 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).
  3. 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 )
  4. Taming Word Problems - a WebQuest on how to solve word problems Internet4Classrooms
  5. 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
  1. Linear Equation Solvers - Practice Linear Equations! Improves your test scores! This site is interactive and allows students to play a game or input or collect data
  2. Linear Equations Solver Calculator - solves linear equations in the form; ax + b = cx + d This site is interactive and allows students to play a game or input or collect data
  3. Linear Equation Solver from Algebra.com This site is interactive and allows students to play a game or input or collect data
  4. Linear Equation Solver - a pop-up window allows users to specify the number of equations This site is interactive and allows students to play a game or input or collect data
  5. Solving Linear Equations
  6. 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. This site is interactive and allows students to play a game or input or collect data
  7. 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.] This site is interactive and allows students to play a game or input or collect data
  8. 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.] This site is interactive and allows students to play a game or input or collect data
Level 2
translate a verbal sentence into an algebraic equation
  1. 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.
  2. Solving Math Word Problems - A Study Guides and Strategies web site posted by the University of St. Thomas
  3. Algebra - Fun with Calendars
select the graph that represents a given linear function expressed in slope-intercept form
  1. Algebra vs the Cockroaches - determine the slope of the line that cockroaches are crawling along to destroy them This site is interactive and allows students to play a game or input or collect data
  2. 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. This site is interactive and allows students to play a game or input or collect data
  3. A PowerPoint show related to this standardSlope Intercept Jeopardy review game in the form of a PowerPoint show
  4. Slope of the Stairs - use this java applet to investigate the concept (written by someone in Japan, please overlook their spelling :-) This site is interactive and allows students to play a game or input or collect data
solve multi-step linear equations
  1. 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. This site is interactive and allows students to play a game or input or collect data
  2. 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" This site is interactive and allows students to play a game or input or collect data
  3. 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.] This site is interactive and allows students to play a game or input or collect data
  4. 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.] This site is interactive and allows students to play a game or input or collect data
determine the slope from the graph of a linear equation
  1. Linear Equation Test - Can you work out the answers? Use the multiple choice boxes or the radio buttons to select your answer. This site includes questions for your students to check their understanding
  2. Find the graph that best matches the linear equation This site includes questions for your students to check their understanding [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.]
  3. Linear Functions Part A : Basics: Slope and Intercept Part B : Finding the Equation of a Line This site is interactive and allows students to play a game or input or collect data
apply the concept of rate of change to solve real-world problems
  1. Stressed Out - Slope as Rate of Change A lesson plan can be found at this site
explore patterns in Pascal's Triangle and a Fibonacci sequence
  1. Pascal's Triangle Interface This site includes questions for your students to check their understanding
  2. Exploring Pascal's Triangle: Lessons from the Math Forum
  3. Pascal's Triangle and the ice cream cones
  4. Pascal Triangle Applet - This applet graphically presents the Pascal triangle This site is interactive and allows students to play a game or input or collect data
  5. 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?
  6. The Mathematics of the Fibonacci series
  7. Fibonacci Numbers and Nature
  8. Easier Fibonacci puzzles - Puzzles on this page have fairly straight-forward and simple explanations as to why their solution involves the Fibonacci numbers
  9. 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
  1. Systems of Linear Equations - an introduction which considers three situations both algebraically and geometrically This site is interactive and allows students to play a game or input or collect data
model the steps for solving simple linear equations using manipulatives
  1. Mathematical problem solving . Linear equations, simple algebra. ( Ignore the banner at the top of this page ) This site is interactive and allows students to play a game or input or collect data
justify correct results of algebraic procedures
  1. 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. This site is interactive and allows students to play a game or input or collect data
Level 3
solve multi-step linear inequalities in real-world situations
  1. Inequalities Workout at Math.com This site includes questions for your students to check their understanding
  2. Practice with Solving Inequalities This site includes questions for your students to check their understanding [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.]
  3. Solving Inequalities: Overview - from Purple Math
determine the domain and/or range of a function represented by the graph of real-world situations
  1. Functions - There are different ways of looking at functions. This lesson from Purple Math will consider a few.
  2. Domain, Range, Derivative, 1-D Kinematics - [ This link opens in a new window ] a Quia quiz This site includes questions for your students to check their understanding
analyze "families of functions" using technology
  1. Explore Families of Functions - This site is interactive and allows students to play a game or input or collect data
  2. This is an Adobe Acrobat .pdf documentFamilies of Functions you need to know This page opens in a new window. Close the window to return to this page.
  3. Families of Functions - includes a picture of the function family at home
  4. Families of Functions - graph-description match game This site is interactive and allows students to play a game or input or collect data
    1. Links to twelve other function family games
  5. Four Basic Function Families -
  6. Function Machine This site is interactive and allows students to play a game or input or collect data
  7. 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.]
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. This site is interactive and allows students to play a game or input or collect data
Level 1
identify ordered pairs in the coordinate plane
  1. Practice from Math.com: The coordinate plane , Slope and y-intercept , and Graphing linear equations .
  2. A PowerPoint show related to this standardCoordinate Geometry - use this PowerPoint show to teach the concept of ordered pairs [consider changing the text animation] (author Monica Yuskaitis)
  3. A PowerPoint show related to this standardBattle Graph - teach your students about graphing on a coordinate plane. A PowerPoint show designed by Sarah Grabowski, University of Georgia, July 9, 2003
  4. What's the Point? - a coordinate plane game from Funbrain.com (use the hardest level) This site is interactive and allows students to play a game or input or collect data
determine the mean (average) of a given set of real-world data
  1. Comparing Properties of the Mean and the Median through the use of Technology A lesson plan can be found at this site
interpret bar graphs representing real-world data
  1. Using Data and Statistics - good graphs, however they are not interactive
  2. Graphs and charts - four different graphs and charts for you to consider This site is interactive and allows students to play a game or input or collect data
interpret circle graphs (pie charts) representing real-world data
  1. Graphs and charts - four different graphs and charts for you to consider This site is interactive and allows students to play a game or input or collect data
design a strategy for collecting real-world data for a scientific investigation
  1. What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment A lesson plan can be found at this site
collect and organize real-world data
  1. 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. A lesson plan can be found at this site
  2. Review of tables, charts and graphs - an index of topics
  3. Fun and Sun Rent-a-Car - students use tables, graphs, linear functions to solve a real-world problem A lesson plan can be found at this site
  4. 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.
  5. 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. A lesson plan can be found at this site
  6. What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment A lesson plan can be found at this site
  7. 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. This site is interactive and allows students to play a game or input or collect data
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
  1. 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. A lesson plan can be found at this site
graph real-world data using a variety of representations
  1. 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. A lesson plan can be found at this site
judge the validity of claims made in probabilistic situations
  1. Probabilistic Situations - a short slide show on the topic
  2. 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.
  3. 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. This site is interactive and allows students to play a game or input or collect data
  4. Interactive Probability Tutorials: Sample Spaces and Events , Estimated Probability , Empirical Probability , Abstract Probability and Conditional Probability and Independence This site is interactive and allows students to play a game or input or collect data
Level 3
apply counting principles of permutations or combinations in real-world situations

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
  1. 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. This link includes something for the teacher to print
  2. 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
  1. Challenge Exercises: Perimeter & Area of Polygons
describe real-world uses of geometric formulas and relationships
  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.
  2. 3-D Object Viewer - Students may explore a variety of 3-D objects and their accompanying 2-D views.
  3. Building Houses with Side View - student constructs a block figure (dynamic, perspective drawing) to match (10 different figures) This site is interactive and allows students to play a game or input or collect data
  4. 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 This site is interactive and allows students to play a game or input or collect data
  5. Coloring 2-D sides - Use the colored portion of the 3-D object to color the correct side of the 2-D drawing. This site is interactive and allows students to play a game or input or collect data
  6. Cube - Find out which colors will be on opposite faces of a cube whose faces are shown unfolded.
  7. 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. This site includes questions for your students to check their understanding
  8. 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 . This site is interactive and allows students to play a game or input or collect data
  9. 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. This site is interactive and allows students to play a game or input or collect data
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
  1. Lesson on Circumference of a Circle
  2. Challenge Exercises: Area of a Circle
  3. Circle, Sphere & Cylinder Calculator This site is interactive and allows students to play a game or input or collect data
apply the given Pythagorean Theorem to a real life problem illustrated by a diagram
  1. The Pythagorean Theorem, Distance Formula and Intro to Trigonometry - practice activities
  2. Animated Proof of the Pythagorean Theorem This site is interactive and allows students to play a game or input or collect data
  3. Pythagorean theorem - In this session, you will look at a few proofs and several applications of one of the most famous theorems in mathematics A lesson plan can be found at this site
apply proportion and the concepts of similar triangles to find the length of a missing side of a triangle
  1. Geometry Java Applets - instructions for use of the applet and a table of contents This site is interactive and allows students to play a game or input or collect data
  2. Virtual Manipulative - Similar Triangles This site is interactive and allows students to play a game or input or collect data
  3. A Mathematical Droodle - Two Triples of Similar Triangles This site is interactive and allows students to play a game or input or collect data
explain how to determine if a triangle is a right triangle given the measurements of all three sides
  1. 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. This site is interactive and allows students to play a game or input or collect data
  2. Pythagorean theorem and right triangle facts - given the length of three sides, determine if a right triangle is being described This site includes questions for your students to check their understanding
  3. 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)
  1. 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.]
  2. Working with Quadrilaterals - an interactive quiz This site includes questions for your students to check their understanding [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.]
  3. Figures and polygons - a large number of polygons are illustrated
illustrate the Pythagorean Theorem by measuring the length, width, and diagonals of rectangular objects
  1. Demonstrate the Pythagorean Theorem - from NOVA This site is interactive and allows students to play a game or input or collect data
  2. Nineteen Pythagorean Theorem applets This site is interactive and allows students to play a game or input or collect data
  3. 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
  4. Pythagorean Theorem - a java applet that allows students to investigate this theorem. This site is interactive and allows students to play a game or input or collect data
  5. 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. This site is interactive and allows students to play a game or input or collect data
  6. 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
  1. 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
  1. Determine the altitude of a flying kite
  2. 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. This site is interactive and allows students to play a game or input or collect data
  3. 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.
  4. 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.]
  5. 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.) This site includes questions for your students to check their understanding


Multiple
Review
Activities
  1. 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.]
  2. SOS Mathematics - Algebra lessons
  3. Take a Gateway Practice Test - This nine-page test was prepared by Anderson County teachers An Adobe Acrobat document in .pdf format This site includes questions for your students to check their understanding
  4. AAAMath offers a large number of math review topics , each one supported by an interactive practice page (8th grade level)
  5. Practical Algebra Lessons from PurpleMath - The lessons give practical tips, hints, and examples, and point out common mistakes.
  6. National Library of Virtual Manipulatives - Virtual manipulatives related to the NCTM Number & Operations standard.
  7. Practice Tests from Virginia State Standards of Learning - Select Algebra I or II , and then select 10, 20, or 40 questions. This site includes questions for your students to check their understanding
  8. 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


 

 

Internet4classrooms is a collaborative effort by Susan Brooks and Bill Byles.
 

  

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