IV. Number Sense and Numeration

1. Concepts and Properties of Numbers
2. Representation and Uses of Numbers
3. Number Relationship

Additional Links to General Mathematics Sites

• Mathematics Games and Student Activities
• Mathematics Lessons Plans
• Interactive Learning and Problem Solving Activities
• Word Searches and Puzzles in Mathematics
• Miscellaneous Sites

Middle School

1. Benchmark 1. "Give geometric representations of fractions, prime and composite numbers, triangular and square numbers, and other number concepts; represent rational numbers and integers on the number line."
   1. Making a Table of Triangular Numbers - Representation and Uses of Numbers (IV.2.MS.1)
      This site gives a great explanation for and how to calculate triangular numbers.  Students are required to make a table and are eventually required to use a formula to find a specific triangular number.
   2. No Matter What Shape Your Fractions Are In - Representation and Uses of Numbers (IV.2.MS.1)
      This site contains activities in the following areas: exploring the shapes, fun fractions, drawing fun fractions, and designer fractions. Clearly shows the geometric representations of fractions. This is a student activity.
   3. Place Value Puzzler _ Representation and Uses of Numbers (IV.2.MS.1)
      This is a game which reviews the concept of place value. The questions include up to 7 numbers before the decimal point and 7 after it.  Besides naming the place values, there is also a rounding game using 7 numbers before and after the decimal point in which students must round to the nearest ten, thousandth, etc.
   4. Special Numbers Discovering Patterns - Representation and Uses of Numbers (IV.2.MS.1)
      Presented by Study Works, this complete interactive site is appropriate for students in grades 6-12. Students will explore characteristics and patterns of perfect, palindromic, and prime numbers. The site provides printable worksheets, teacher notes, and supplemental discussion topics.
2. Benchmark 2. "Recognize equivalent representations of a number, especially fractions, decimals and percents, and translate freely among representations.".
   1. Comparing Fractions, Decimal, and Percents - Representation and Uses of Numbers  (IV.2.MS.2)
      An interactive site to compare fractions, decimals, and percents.
   2. Fraction Model1 - Representation and Uses of Numbers (IV.2.MS.2)
      This site allows students to manipulate the numerator and denominator of fractions.  There are three versions, each having different limits on what the values of each may be.  As the values are entered, a pie chart shades in the appropriate ammount, and decimal and percent values are also given.
   3. Fraction Model2 - Representation and Uses of Numbers (IV.2.MS.2)
      This site allows students to manipulate the numerator and denominator of fractions.  There are three versions, each having different limits on what the values of each may be.  As the values are entered, a pie chart shades in the appropriate ammount, and decimal and percent values are also given.
   4. Fraction Model3 - Representation and Uses of Numbers (IV.2.MS.2)
      This site allows students to manipulate the numerator and denominator of fractions.  There are three versions, each having different limits on what the values of each may be.  As the values are entered, a pie chart shades in the appropriate ammount, and decimal and percent values are also given.
   5. Illuminations Equivelent Fractions - Representation and Uses of Numbers (IV.2.MS.2) New
      Interactive Site to Practice equilvelent fractions. Students can manipulate pie shapes to find equivelent frantions. Easy to use and valuable for students that need to see fractions to understand.
   6. Math Files - Saloon Snap - Representation and Uses of Numbers (IV.2.MS.2)
      This is an interactive game for students. Students need to determine if percents, decimals, and fractions are equivalent. If so, they need to ring the bell. They also need to be quicker than Fast Fingers Malcolm.
   7. Math Goodies: Lesson on the Meaning of Percent - Representation and Uses of Numbers (IV.2.MS.2)
      This is a place where students can review percents or it can be used as an introduction to percents.  There is a short quiz at the end of  lesson.
   8. Scientific Notation in Everyday Life - Representation and Uses of Numbers (IV.2.MS.2)
      When students ask,  "Where will we ever use this?" this site gives a resonable answer and explaination.
3. Benchmark 3. "Distinguish between numbers that are used for counting, numbers that are used for ordering, numbers that are used for measuring and numbers that are used for naming."
   1. Cardinal, Ordinal, and Nominal Numbers(Factmonster) - Representation and Uses of Numbers  (IV.2.MS.3)
      This particular site is for teacher's only.  The site gives an understable definition of what counting numbers are, what numbers are used for measuring, and what numbers  are used for naming.
4. Benchmark 4. "Develop and refine strategies for estimating quantities, including fractional quantities, and evaluate the reasonableness and appropriateness of their estimates."
   1. Estimator - Representation and Uses of Numbers  (IV.2.MS.4)
      The student will practice estimating skills in length, area, counting a large number of objects, etc.
   2. Fraction Game - Representation and Uses of Numbers  (IV.2.MS.4)
      This activity allows students to individually practice working with relationships among fractions and ways of combining fractions. It can also be played as a two person game.
   3. Problems with a Point - Representation and Use of Numbers (IV.2.MS.4)
      This site provides students with problems in estimation. Hints and solutions are provided for each problem. Students could work on these problems on line or the teacher may choose to download the problems to be used in class.
   4. The Perfect Pearl - Representation and Uses of Numbers  (IV.2.MS.4)
      Students will estimate the number of pearls in a treasure chest first by using weight, then by using volume.
5. Benchmark 5. "Select appropriate representations for numbers, including integers and rational numbers, in order to simplify and solve problems."
   1. Penguin Waiter - Representation and Uses of Numbers (IV.2.MS.5)
      Students play an interactive game that gives them practice calculating percentage of a number. Immediate feedback to correct and incorrect answers are given.
   2. Word Problem Strategies - Representation and Uses of Numbers (IV.2.MS.5) New
      Interactive and easy to use examples of Problem solving strategies. Helps students to see how strategies can be used in math word problems.
   3. Writing Equations - Representation and Uses of Numbers  (IV.2.MS.5)
      Students are given examples of how to write expressions using variables, numbers, integers, and rational numbers.  After students read through the examples they are given an on-line quiz with immediate feedback to correct and incorrect answers.