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Grade 6 - Number Concepts Links

Number Concepts


3. Demonstrate an understanding of factors and multiples by:

determining multiples and factors of numbers less than 100

identifying prime and composite numbers

solving problems using multiples and factors.


Achievement Indicators

         Identify multiples for a given number, and explain the strategy used to identify them.


1. - This is a game for two players. You will need a 100 square which you can download here or you can use the interactivity below. The first player chooses a positive even number that is less than 50, and crosses it out on the grid. The second player chooses a number to cross out. The number must be a factor or multiple of the first number. Players continue to take it in turns to cross out numbers, at each stage choosing a number that is a factor or multiple of the number just crossed out by the other player.


 To play the interactive, alternatively, click on a number in the left hand grid and it will transport to the earliest empty location in the right hand grid. You can rearrange the numbers in the right hand grid by dragging and dropping them in position. The integer in the top right hand corner grows with the number of factors/multiples you have in a row.


2. - Using the arrow key, land on a multiple of the listed number.  Click the space bar to eat the number.  Eat up all the multiples before the ghost eats you!


          Determine all the whole number factors of a given number, using arrays.

3.  Side by Side Factors
This is a simple little math game which may not be quite as easy as it looks at first glance! Some puzzles are easy, others are harder.


The object of Side By Side is to rearrange the seven numbers shown above, so that all the numbers which are not relatively prime are separated by one or more other numbers. For example, since four and six have a common factor (two), they cannot be placed next to one another. Likewise, if you have two fives, they cannot be placed side by side because five is a common factor of...well, five and five!


         Click an arrow underneath a number to move that number either left or right in the row. When you believe you have arranged the numbers so no two side by side numbers have a common factor, click the "Check Solution" button to find out if you have correctly solved the puzzle.


4. - How Do I Use This Activity:

This activity allows the user to visually explore the concept of factors by creating rectangular arrays on a grid whose area is equal to the product of the factors.

Controls and Output:


A number between 0 and 50 is randomly selected. The user can either determine the factors of that number, randomly select another number by using the Get New # button, or specify a number by inputting a number next to the UseThis # button and then clicking the button.

Choose whether or not you wish the applet to use the commutative property by either clicking on the "Show Commutative property" or "Do not show Commutative property" bubble.


If you choose "Do not show Commutative property" then you do not need to enter the expression b x a if you've entered a x b.


If you choose "Show Commutative property" then you need to enter both forms of the expression: a x b and b x a.

Click and drag across the grid to color a rectangle with the dimensions of a factorization whose area (i.e. product) is equal to the number shown. The resulting rectangle must have the same area as the product of the factors.


         Identify the factors for a given number, and explain the strategy used; e.g., concrete or visual representations, repeated division by prime numbers, factor trees.


5. - students will determine the prime factorization of a given number


6. - students will see a factor tree and fill in the missing factors of the composite number into the factor tree.


7.  Roast Turkeys This is an interactive game where you roast the correct turkey and learn about factors.  Students will be shown a group of turkeys.  Each turkey contains a number.  You will need to shoot the turkey that is NOT a factor of the composite number shown.


8.  Factors & Multiples
This is like jeopardy.  You pick a category on either:  prime factorization, multiples or factors and score points.  You can play either one or two player.  Score points and see who wins.


9. - Have students select level one.  Students will be given a number and will need to find the factors of the numbers from a set of numbers.  This is good because it tells the students how many factors they are looking for.


10.  Math Lines xFactor 12  - Aim and shoot the ball that will give you a product of 12 with the bullet ball.  You need to look at the amount your bullet is worth.  Shoot at a number when multiplied together will give you 12 or the target number you pick.


11. - Player A chooses a number on the game board by clicking on it. The square will be colored blue, as shown for 12. Player A receives 12 points for this choice.  Player B then clicks on all the proper factors of Player As number. The proper factors of a number are all the factors of that number, except the number itself. For example, the proper factors of 12 are 1, 2, 3, 4, and 6. Although 12 is also a factor of 12, it is not considered a proper factor. All of the proper factors that Player B selects will be colored green, as shown to the left. Player B will receive 1 + 2 + 3 + 4 + 6 = 16 points for selecting all of the proper factors.  Players reverse roles. On the next turn, Player B colors a new number and gets that many points, and Player A colors all the factors of the number that are not already colored and receives the sum of those numbers in points.  The players take turns choosing numbers and coloring factors.  If a player chooses a number with no uncolored factors remaining, that player loses a turn and does not get the points for the number selected.  The game ends when there are no numbers remaining with uncolored factors.  The player with the greater total when the game ends is the winner.

          Sort a given set of numbers as prime and composite.


12. - students are shown a number and will determine if the number is prime or composite.

7. Demonstrate an understanding of integers, concretely, pictorially and symbolically.


Achievement Indicators

         Place given integers on a number line, and explain how integers are ordered.

13. - students will fill in an integer that is missing from a given numberline.


          Describe contexts in which integers are used; e.g., on a thermometer.


14. - gives the students a situation.  Students need to determine if this represents a positive or a negative integer.


          Compare two integers; represent their relationship using the symbols <, > and =; and verify the relationship, using a number line.


15. - using a numberline, students will determine if an integer is greater than, less than or equal to another integer


          Order given integers in ascending or descending order.


16. - click on start.  Place the integers balls in order either ascending or descending.  The computer will let the player know.


17. - Students are shown a set of numbers.  Click on the number and drag to place the integers in order.  Click on check to see if your responses are correct.




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