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

 

3. Number Relationships

Middle School

  1. Benchmark 1. "Compare and order integers and rational numbers using relations of equality and inequality. "
    1. Decimal and Whole number Jeopardy Game - Number Relationships (IV.3.MS.1)
      Rounding ,Comparing, Ordering Whole numbers and Decimals in Game format.Easy to use for one or two players.
    2. Inequalities (Math.com) - Number Relationships (IV.3.MS.1)
      This site is a supplement for the teacher's lesson on inequalities.  A teacher would need to use a data projector to use this information. It is a useful site to help aid the classroom teacher in explaining equalities and inequalities in an easy manner.
    3. Math Files - Builder Ted - Number Relationships (IV.3.MS.1)
      This is an interactive game for students. Students place integer and decimal bricks on a ladder in their numerical order.
    4. Proportion Basics - Number Relationships (IV.3.MS.1,2&3)
      This is an interactive lesson on proportion which includes a good explanation along with examples. Practice problems which can be done interactively with step by step help available if necessary.
  2. Benchmark 2. "Express numerical comparisons as ratios and rates."
    1. Determining Ratios - Number Relationships  (IV.3.MS.2)
      This is an interactive site where students can reduce the given ration into lowest form.  The student receives immediate feedback to their answer.  If the solution is correct you move on to a different problem.  If the solution is incorrect the students are told why there answer is wrong.
    2. Lesson Plans: How Big is That Star? - Number Relationships (IV.3.MS.2)
      This site gives a complete lesson plan for using ratios to determine the size of a star based on observation.
    3. One False Move - Number Relationships (IV.3.MS.2)
      This is a game where students find their way out of a haunted house by  decimals in order (either from least to most or most to least).  This includes positive and negative integers with one decimal place and varying levels of difficulty.
    4. Paper Pool Games-Number and Operations-Number Sense and Numeration - Number Relationships (IV.3.MS.2)
      This site allows the student to interact directly with the activity. It encourages students to challenge themselves to go beyond just looking at a simple pattern. It requires the students to look for ratios that are created from the multiples and factors of the numbers. Students will be working on beginning skills on gathering data and looking for patterns.
    5. Population Ratios - Number Relationships (IV.3.MS.2)
      This site is an interdisciplinary project (mathematics, social studies) where students choose a county in the United States and using ratios convert the statistics into meaningful numbers. Students access web sites and record various population statistics pertaining to a county in the USA of their choice. Students then use this data to set up and solve ratios. Students compare data to make meaning of the numbers.
    6. Proportion Basics - Number Relationships (IV.3.MS.1,2&3)
      This is an interactive lesson on proportion which includes a good explanation along with examples. Practice problems which can be done interactively with step by step help available if necessary.
    7. Ratios - Number Relationships  (IV.3.MS.2)
      This is an interactive math site where students solve for ratios.  The students are given a ratio and one part (either the numerator or denominator) of another ratio.  The students then have to solve for the missing expression.  They are given immediate feedback to their answers.
  3. Benchmark 3. "Distinguish between prime and composite numbers; identify factors, multiples, common factors and multiples, and relatively prime numbers; and apply divisibility tests to numbers."
    1. Math.com - Number Relationships (IV.3.MS.3)
      Site is student interactive. Site provides a prime number calculator. The student enters a number and are told if the number if prime or not. If the number is not prime a factor of the number is given.
    2. Math Goodies: Number Theory - Number Relationships (IV.3.MS.3)
      Students learn to find GCF and LCM.  They also work with prime and composite numbers.  There are problems to work on at the end of each lesson.
    3. Math Files - Grid Game - Number Relationships (IV.3.MS.3&4)
      This is an intereactive game for students. Students need to find multiples, factors, squares, cubes, roots, evens, odds, triangular numbers, etc., and that meet the given condition (such as: find the multiples of 10 that are also multiples of 20.)
    4. Primo Math - Cycle 001 - Number Relationships (IV.3.MS.3&5)
      This site contains eleven review problems to solve. The problems vary in difficulty.
    5. Proportion Basics - Number Relationships (IV.3.MS.1,2&3)
      This is an interactive lesson on proportion which includes a good explanation along with examples. Practice problems which can be done interactively with step by step help available if necessary.
    6. The Factor Game - Number Relationships (IV.3.MS.3)
      Outstanding This is a game that begins with a board with numbers 1-30 (or 1-49, 1-100).  To play, one student picks a number and the other has to choose the factors of that number.  Once a number is picked, it cannot be picked again, and students accumulate points based on the numbers they pick (20 points for picking 20, and 1+2+4+5+10= 22 points for the factors.  The game ends when no more numbers can be picked and the person with the most points wins.  Students can play against another human or against the computer.  There is quite a bit of strategy involved, as students are awarded points based on the number(s) they pick or force the other to pick.  The computer is TOUGH.
  4. Benchmark 4. "Explain the meaning of powers and roots of numbers and use calculators to compute powers and square roots."
    1. Adding Intergers - Number Relationships (IV.3.MS.4)
      Adding Integers with Sum zero.This interactive site allows students to see and watch as positive and Negative numbers Zero out when adding. Great graphics and easy to use. Students will have fun while learning the skill.
    2. Math Dictionary - Number Relationships (IV.3.MS.4)
      Nice, easy, and quick to use interactive lesson on Exponents. Students can see the lesson and practice exponents. When page loads select E on bottom of page and look for exponents. It's easy and fun!
    3. Math Files - Grid Game - Number Relationships (IV.3.MS.3&4)
      This is an intereactive game for students. Students need to find multiples, factors, squares, cubes, roots, evens, odds, triangular numbers, etc., and that meet the given condition (such as: find the multiples of 10 that are also multiples of 20.)
    4. Tic Tac Toe Squares - Number Relationships (IV.3.MS.4)
      This site allows the student to play a tic tac toe game that is based on powers of 2 & 3. If the student is incorrect in his/her answer, the game will explain what the exponent should look like. This site can also do roots as well. In the upper right hand corner is the word "harder", use that to get to the power and root based exercises.
  5. Benchmark 5. "Apply their understanding of number relationships in solving problems."
    1. Illunimations Fraction - Percent, Decimal Model - Number Relationships (IV.3.MS.5)
      This tool explores several representations for fractions using adjustable numerators and denominators. You can see decimal and percent equivalents, as well as a model that represents the fraction.
    2. Primo Math - Cycle 001 - Number Relationships (IV.3.MS.3&5)
      This site contains eleven review problems to solve. The problems vary in difficulty.
    3. Problem Solving - Number Relationships (IV.3.MS.5)
      Interactive game. Great fun with problem solving skills required. Also, pattern and grid coordinates are tested to escape from the Dungeon.
    4. Solving Word Problems - Number Relationships (IV.3.MS.5)
      Interactive word problem site. Helps with students translation of word problems into a numeric equation. Students get instant feedback with the excercises on this site.

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