Standard 1
Students will expand number sense to include operations with rational numbers.

·         A Penny Saved is a Penny at 4.7% Earned 
There are lots of ways to receive income, and lots of ways to spend it. In this EconomicsMinute you will develop two budgets, or plans, to help you decide how to allocate your income. . . assuming you do not love making dollar bill rings.

·         Algebraic Expressions 
In this activity students will work with algebraic expressions - moving from simple expressions to more complex expressions.

·         An Investigation of Regional Housing Costs 
This lesson has students explore differences in regional housing costs, determine the percentage of gross income spent on housing, assess the impact of housing costs on are location decision and recognize wages and housing costs are prices.

·         Bank Jr. 
The Bank Jr. Web site can help make percentages and fractions relevant because it focuses on money, something important to most students.

·         Baseball Economics 101 
As any baseball fan can tell you, the New York Yankees have won many World Series championships. The Yankees' success--as well as the success of other big market, high revenue teams--has led many to question whether smaller market teams can compete in Major League Baseball (MLB). This lesson will help you answer a variety of questions, such as: Are MLB teams losing money? Are MLB owners looking to dump unprofitable teams on unsuspecting investors? Are MLB players grossly overpaid?

·         Change Maker 
Students: An interactive site! Practice making correct change - using small and large amounts - it's fun !

·         Escape from Knab 
Salary and budget simulation that helps middle school and high school students learn about banking information.

·         Factor Game 
The Factor Game engages students in a friendly contest in which winning strategies involve distinguishing between numbers with many factors and numbers with few factors. Students are then guided through an analysis of game strategies and introduced to the definitions of prime and composite numbers.

 

 

 

·         Figure This Math Challenges for Families 
This site is recommended by the National Council for Teachers of Mathematics. 80 math challenges focusing on mental math and estimation such as, "Why are most manhole covers round?", and "How long would you have to wait to buy tickets if you were the 300th person in line?" Also available in PDF format for printing. Nice teacher section.

·         Finding Satisfactory Solutions - Ice Cream Stands 
In this activity, students decide where to locate ice cream stands in a town so that no one has to travel too far to buy a treat. The problem-solving strategies for this problem give students a chance to grapple with the notion of proof and to decide what makes a solution satisfactory.

·         Fraction Game 
This NCTM Illuminations page is an interactive tool involving a flash card type fraction game. Students can flip cards one at a time and match values to the given number lines. Reducing and equivalent fractions skills are enforced. To add to the enjoyment for students, sound effects can be used.

·         Fun Brain Fresh Baked Fractions 
Equivalent fractions are different fractions that name the same amount. Click on the fraction that is not equal to the others. If you get the answer correct, Jackson gets another piece of pie.

·         Illuminations: Eqiuvalent Fractions 
Explore relationships among fractions on number lines and on squares.

·         Integer Challenge 
Students participate in activities that help them understand concepts necessary for understanding integers and operations with integers

·         Integers: Number Line Review 
A short video that illustrates both positive and negative integers on a number line. (Requires free QuickTime Movie Player.)

·         Learning Multiplication with Area Models 
Students can learn to visualize the effects of multiplying a fixed positive number by positive numbers greater than 1 and less than 1 with this tool. Using interactive figures, students can investigate how changing the height of a rectangle with a fixed width changes its area.

·         Mega Converter 2 
Convert all types of measurements quickly and easily with this online converter.

·         Mission:Magnetite 
Fractions and percentages. Hacker is trying to drop magnetite on Motherboard Central using his rocket. We need you to help stop him.

 

 

 

·         Moneyopolis 
Are you ready to help an alien in distress? Xerbie has traveled to Moneyopolis to learn how to manage his money. But as luck would have it, his spaceship broke. To play this online game, you'll need to visit each building of Moneyopolis and show off your math and money skills. Every section you complete will earn Xerbie another part to fix his spaceship and help him get home.

·         Penguin Waiter 
How much of a tip should you leave for a waiter? Calculate percentages.

·         Secret Worlds: The Universe Within 
Using the powers of 10 you can view the Milky Way at 10 million light years from the Earth. Then move through space towards the Earth in successive orders of magnitude until you reach a tall oak tree just outside the buildings of the National High Magnetic Field Laboratory in Tallahassee, Florida. After that, begin to move from the actual size of a leaf into a microscopic world that reveals leaf cell walls, the cell nucleus, chromatin, DNA and finally, into the subatomic universe of electrons and protons.

·         Simplifying Algebraic Expressions 
This activity will show students how to simplify algebraic expressions and then give them practice simplifing.

·         Themepark: Fractions and Decimals 
UEN''s Themepark provides Places To Go, People To See, Things To Do & Teacher Resources that will help you learn more about fractions and decimals.

·         Time Value of Money 
In this lesson, from EconEdLink, students explore the time value of money. Suppose your brother or sister owed you $500. Would you rather have this money repaid to you right away, in one payment, or spread out over a year in four installment payments? Would it make a difference either way?

·         USU - National Library of Virtual Manipulatives 
Lattice Multiplication, Virtual Abacus, Equivalent Fractions, Finding common denominators. This site has similar activities as Illuminations.

·         Where Does the Money Come From 
With very few exceptions, the U.S. federal government does not have an 'income' to spend providing goods and services. The money used for federal spending programs must be collected as federal taxes, or it must be borrowed. This lesson provides information about the costs of government programs. This information is necessary if you are to make responsible decisions in your role as citizen.

·         Who Wants To Be a Mathonaire? 
You have to try to reach 1 million points by answering math questions.

 

Standard 2
Students will use patterns, relations, and algebraic expressions to represent and analyze mathematical problems and number relationships.

·         Distance, Speed and Time Relationships #1 
Students will examine and compare time versus distance relationships, and represent change over time as seen using a single runner along a line and review results plotted along a graph. This activity helps students identify, describe and compare situations with constant or varying rates of change.

·         Distance, Speed and Time Relationships #2 
Students will examine and compare time versus distance relationships, and represent change over time as seen using TWO runners along lines and results plotted along a graph. This activity helps students identify, describe, and compare situations with constant or varying rates of change.

·         Distance, Speed and Time Relationships Simulation 
This applet shows two runners moving along a track. Students can control the speeds and starting points of the runners, watch the race, and examine a graph of the time-versus-distance relationship. The computer simulation uses a context familiar to students, and the technology allows them to analyze the relationships more deeply because of the ease of manipulating the environment and observing the changes that occur. Activities like these can help students in the upper elementary grades understand ideas about functions and about representing change over time.

·         Equation Match 
Letters are used in an expression to represent different numbers. To find the value of an expression, we substitute a number for a letter. Find the matching pair by solving the value of X for each equation.

·         Funbrain- Operation Order 
Help Tortisaurus finish building his stone pyramid.

·         Interactive Pan Balance 
Students can use this interactive pan balance to help understand that equality is a relationship, not an operation.

·         Late Delivery 
Help Postmaster Phil by finding the value of the expression written on each door using algebra.

·         QUIZ: Simplifying Expressions 
You have been chosen to join the basketball team. If you can answer the Simplifying Expressions questions correctly, your free throws will all make it into the basket.

·         Terms, Variables and Expressions 
This activity will provide students a basic understanding of the use of terms and variables in mathematics and algebraic expressions.

·         The Fibonacci Series 
In this lesson, students will explore the Fibonacci series. They will identify the pattern among the Fibonacci numbers, look for applications of these numbers, and explore the ways that this pattern can be related to objects and shapes in both the natural and designed world.

·         The Next Billion 
In 1999 the world population passed the 6 billion mark. In this lesson, students predict when it will reach 7 billion. To do so, they use an online counter that simulates the changing world population. They time the counter to find how long it takes for the population to increase by, say, 50 or 100 people. They use that measurement to predict how long it would take for the population to increase by 1 billion. Students discuss the reliability of their predictions, compare them to past trends, and discuss social factors that can affect population growth.

·         Themepark: Algebra 
Check out the many and varied Algebra resources on UEN's Themepark web page.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Standard 3
Students will use spatial and logical reasoning to recognize, describe, and analyze geometric shapes and principles.

 

·         Bathroom Tiles 
While Pythagoras has a bath, work out how to rotate, reflect, and translate the patterns on the bathroom tiles.

·         Figures and Polygons 
This website offers picture examples and written definitions of different polygons and terms.

·         Native American Geometry 
This site is worth a look to add depth and relevance to your geometry curriculum. There is much discussion about how geometry has been discovered and used in all cultures of the world for practical uses as well as decorations. You will find activities on this page, including one for use with a compass.

·         Puzzle Parlor 
Twelve interactive online games from the puzzle makers at Kadon Enterprises, Inc. designed to give students practice with problem solving skills using mathematical and spatial sense intelligence.

·         Themepark: Tessellations 
Looking for Tessellations resources? Check out UEN Themepark.

·         Virtual Manipulatives: Geometry 6-8 
Virtual manipulatives related to the NCTM Geometry standard for grades 6 - 8.

·         Visualizing Transformations 
The interactive figures in this four-part example allow a user to manipulate a shape and observe its behavior under a particular transformation or composition of transformations.

·         What's the Point? 
Students identify points on a coordinate grid.

 

 

 

 

 

 

 

 

 

 

 

 

Standard 4
Students will understand and apply measurement tools and techniques and find the circumference and area of a circle.

 

·         Grids of Ecology 
Teaches students how to carry out a grid survey. Covers both science and math core.

·         Math Cats - Convert the Measurements 
This website converts length, weight and volume into equivalent measurements.

·         Understanding the Pythagorean Relationship 
The Pythagorean relationship, a2 + b2 = c2 (where a and b are the lengths of the legs of a right triangle and c is the hypotenuse), can be demonstrated in many ways, including with visual 'proofs' that require little or no symbolism or explanation. The activity in this example presents one dynamic version of a demonstration of this relationship.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Standard 5
Students will analyze, draw conclusions, and make predictions based upon data and apply basic concepts of probability.

 

·         An Investigation of Regional Housing Costs 
This lesson has students explore differences in regional housing costs, determine the percentage of gross income spent on housing, assess the impact of housing costs on are location decision and recognize wages and housing costs are prices.

·         Baseball Stats 
The purpose of this lesson is to use the Internet to explore data sets and statistics in baseball. Students should be focused on the entire process, including formulating key questions; collecting and organizing data; representing the data using graphs and summary statistics; analyzing the data; making conjectures; and communicating statistical information in a meaningful and convincing way.

·         Create a Graph 
This interactive tool allows you to create four different types of graphs: concrete, pictorial, symbolic, and graphic. You can use this website to see percentages and create models to represent problem situations.

·         Distance, Speed and Time Relationships #2 
Students will examine and compare time versus distance relationships, and represent change over time as seen using TWO runners along lines and results plotted along a graph. This activity helps students identify, describe, and compare situations with constant or varying rates of change.

·         Distance, Speed and Time Relationships Simulation 
This applet shows two runners moving along a track. Students can control the speeds and starting points of the runners, watch the race, and examine a graph of the time-versus-distance relationship. The computer simulation uses a context familiar to students, and the technology allows them to analyze the relationships more deeply because of the ease of manipulating the environment and observing the changes that occur. Activities like these can help students in the upper elementary grades understand ideas about functions and about representing change over time.

·         Fish Tank 
Learn about probability by counting red fish and then figuring out how many fish are in the tank.

 

 

 

 

 

·         Five's a Crowd: A Game of Population Density 
In this lesson, students play a game in which they try to list 5 countries or states in order from most crowded to least crowded. Using area and population data from a web site, they estimate quotients to make their list. They determine whose list is closest to the actual order by applying a mathematical model (scoring system), which they later evaluate. As extensions, students try to develop a better scoring system for the game and explore mathematical and social issues related to population density.

·         Martin Luther King Jr. Day 
Students can explore the history behind Martin Luther King Day and this charismatic man by following the links below. Students will learn that Civil Rights legislation (developed thanks,in part, to MLK) actually occurred after the beginnings of the development of the black middle class and did not precede it.

·         The Next Billion 
In 1999 the world population passed the 6 billion mark. In this lesson, students predict when it will reach 7 billion. To do so, they use an online counter that simulates the changing world population. They time the counter to find how long it takes for the population to increase by, say, 50 or 100 people. They use that measurement to predict how long it would take for the population to increase by 1 billion. Students discuss the reliability of their predictions, compare them to past trends, and discuss social factors that can affect population growth.

·         Time Value of Money 
In this lesson, from EconEdLink, students explore the time value of money. Suppose your brother or sister owed you $500. Would you rather have this money repaid to you right away, in one payment, or spread out over a year in four installment payments? Would it make a difference either way?

·         USU Data Analysis & Probability (Grades 3 - 5) 
Virtual manipulatives related to the NCTM Data Analysis & Probability standard for grades 3 - 5.