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

Elementary

1. Benchmark 1. "Represent whole numbers, fractions and decimals using concrete, pictorial and symbolic representations."
   1. Cookies for Grampy - Representation and Uses of Numbers  (IV.2.E.1)
      On this interactive site students have to make a whole cookie using different fractional parts.
   2. Equivalent Fractions - Representation and Uses of Numbers (IV.2.E.1)
      Outstanding - The student will find equivalent fractions with space Captain Nick Nack. This site requires sound and is worth the trip! Best for grade level 4 and up.
   3. Fraction Bars - Representation and Uses of Numbers  (IV.2.E.1)
      Interactive site which allows students to manipulate fraction bars to help develop a understanding of fractions.  This site also includes description, teacher lesson plans, guidelins and instructions on how to use this applet.
   4. Fresh Baked Fractions - Representation and Uses of Numbers (IV.2.E.1)
      This interactive site allows children to choose from three levels of difficulty. In the lowest level of difficulty, students need to be able to identify equivalent fractions. It is ideal for upper elementary. This is a student activity.
   5. Identify Fractions with Circles - Representation and Uses of Numbers (IV.2.E.1&3)
      Interactive site which allows students to identify and rename fractions along with adding, subtracting and so on. Grades 2 and up.
   6. Integer Bars - Representation and Uses of Numbers  (IV.2.E.1&2)
      Interactive site which allows students to manipulate interger bars to help develop a understanding of basic math concepts.  This site also includes description, teacher lesson plans, guidelines and instructions on how to use this applet.
   7. Pizza Party Fractions - Representation and Uses of Numbers (IV.2.E.1)
      This interactive game asks the students to identify how much pizza is left. Grade level 2 and up.
   8. Playing Fraction Track - Representation and Uses of Numbers (IV.2.E.1,2&3)
      Mathematical games can foster mathematical communication as students explain and justify their moves to one onother. These games can motivate students and engage them in thinking about and applying concepts and skills. Grade 3 - 5
   9. Shodor Interactive Number and Operations - Representation and Uses of Numbers (IV.2.E.1,2,3,4&5)
      This site offers broad student interactive opportunities in Number Sense and Numeration.
   10. Visual Fractions - Representation and Uses of Numbers  (IV.2.E.1&2)
       This site includes equivalent fractions represented in two differents ways.  They are shown as pie graphs and number lines.
2. Benchmark 2. "Explore and recognize different representations for the same number and explain why they are the same."
   1. Base 10 Blocks - Representation and Uses of Numbers (IV.2.E.2)
      This site provides a lesson plan for teachers. It also provides user friendly interactive activities in which the student explores whole decimal numbers and place values. Grades 3 and up.
   2. Fresh Baked Fractions - Representation and Uses of Numbers  (IV.2.E.2)
      On this interactive site, there are four fractions.  Three of the four fractions are equivalent and can be simplified.  The students have to click on the fraction that does not equal the others.
   3. Playing Fraction Track - Representation and Uses of Numbers (IV.2.E.1,2&3)
      Mathematical games can foster mathematical communication as students explain and justify their moves to one onother. These games can motivate students and engage them in thinking about and applying concepts and skills. Grade 3 - 5
   4. Shodor Interactive Number and Operations - Representation and Uses of Numbers (IV.2.E.1,2,3,4&5)
      This site offers broad student interactive opportunities in Number Sense and Numeration.
   5. Visual Fractions - Representation and Uses of Numbers  (IV.2.E.1&2)
      This site includes equivalent fractions represented in two differents ways.  They are shown as pie graphs and number lines.
3. Benchmark 3. Investigate ways numbers are used (e.g., counting, ordering, naming, locating, measuring)."
   1. Identify Fractions with Circles - Representation and Uses of Numbers (IV.2.E.1&3)
      Interactive site which allows students to identify and rename fractions along with adding, subtracting and so on. Grades 2 and up.
   2. Kids Center - Representation and Uses of Numbers (IV.2.E.3)
      Outstanding - This site has a list of interactive math games. The students can interact with the games by using numbers for counting, ordering, naming, and locating.
   3. Integer Bars - Representation and Uses of Numbers  (IV.2.E.1&2)
      Interactive site which allows students to manipulate interger bars to help develop a understanding of basic math concepts.  This site also includes description, teacher lesson plans, guidelines and instructions on how to use this applet.
   4. Interactive Arithmetic Four New
      Play a "Connect-Four" style game, earning a game piece each time you answer an arithmetic question correctly. This game asks the players to add, subtract, multiply, and divide whole numbers and integers. Choose difficulty level, question types, and time limit.
   5. Making Equal Groups - Representation and Uses of Numbers (IV.2.E.3)
      Students will count equal groups to find the total product. They many also make their own groups for counting. Skip counting and addition may be used. Grades 3 and up.
   6. Ordering Numbers - Representation and Uses of Numbers (IV.2.E.3)
      The student will order random numbers from least to greatest or vice versa. Grade level appropriate, 2nd and up.
   7. Playing Fraction Track - Representation and Uses of Numbers (IV.2.E.1,2&3)
      Mathematical games can foster mathematical communication as students explain and justify their moves to one onother. These games can motivate students and engage them in thinking about and applying concepts and skills. Grade 3 - 5
   8. Shodor Interactive Number and Operations - Representation and Uses of Numbers (IV.2.E.1,2,3,4&5)
      This site offers broad student interactive opportunities in Number Sense and Numeration.
   9. Squigly's Apples - Representation and Uses of Numbers (IV.2.E.3)
      The student will be asked to identify the ordinal number to show which apple Squigly is hiding in. This activity is appropriate for grade levels K-2.
4. Benchmark 4. "Develop strategies for estimating quantity and evaluate the reasonableness of their estimates."
   1. BBC - KS2 ReviseWise - Maths - Representation and Uses of Numbers (IV.2.E.4)
      An interactive site for upper elementary students that presents and reviews estimation strategies.  Students can read a fact sheet that gives examples of each strategy, interact with an activity, practice the skills using a printable worksheet, and take a test.  As a bonus, they can also test their estimation skills using an oral activity (requires pc speakers or headphones).
   2. Estimating - Representation and Uses of Numbers (IV.2.E.4)
      The student will select two numbers from a given collection of numbers to be rounded and then added. The activity may be timed and scored if desired. Grade level 3 and up.
   3. Find Grampy - Representation and Uses of Numbers  (IV.2.E.4&5)
      In this interactive site the students have to estimate the location of Grampy on a number line.
   4. Shodor Interactive Number and Operations - Representation and Uses of Numbers (IV.2.E.1,2,3,4&5)
      This site offers broad student interactive opportunities in Number Sense and Numeration.
5. Benchmark 5. "Select appropriate numbers and representations in order to solve problems."
   1. Elapsed Time: Minutes and Hours - Representation and Uses of Numbers (IV.2.E.5)
      The students will determine how much time is lapsed from the beginning to the end of an activity. Best suited for grades 3 and up. Spanish version also available.
   2. Find Grampy - Representation and Uses of Numbers  (IV.2.E.4&5)
      In this interactive site the students have to estimate the location of Grampy on a number line.
   3. Shodor Interactive Number and Operations - Representation and Uses of Numbers (IV.2.E.1,2,3,4&5)
      This site offers broad student interactive opportunities in Number Sense and Numeration.
   4. What Good Is Math? - Representation and Uses of Numbers (IV.2.E.5)
      This site presents some real life situations that involve using numbers. It has many links to more situations. Grade level 4 and up.