Least+Common+Multiple+(4th+Grade)

by Erin Dwyer and Chris Pugh

=**Standards**=
 * Math SPI 0406.2.4** - Find factors, common factors, multiples, and common multiples of two numbers.


 * ISTE NETS **6.** **Technology Operations and Concepts** a.** understand and use technology systems.

=**Lessons**= TSW...
 * 1) Open Kidspiration 3, then click on MATH VIEW.
 * 2) Click on FRACTION BOXES.
 * 3) Click on the NAME button from the top toolbar, type name, and click OK.
 * 4) Click and drag 2 fraction boxes and place a text box to the right of each.
 * 5) Click and drag 1 text box to the farthest right to label with "Least Common Multiples".
 * 6) Click in each of the other text boxes to type a set of numbers to compare. (The fraction box tool only works for this when an LCM is < or = 36.)
 * 7) Click the up arrow in each fraction box to divide it into the numbers you are comparing. [[image:Kids3-FractionLCM1.png width="460" height="150"]]
 * 8) In each fraction box, click and color (using the color buttons from the bottom) 1 and only 1 piece of the divided fraction box.[[image:Kids3-FractionLCM2.png width="301" height="150"]]
 * 9) Starting with the fraction box that has the smallest number, click the up arrow to change the divisions. If the number is red, it is NOT a multiple of that number. If the number is dark blue, it IS a multiple of that number.
 * 10) Click in the text box to the right and record the multiple.
 * 11) Repeat steps 9 and 10 until the you have recorded 4-6 multiples, more if needed.
 * 12) Click in the other fraction box and follow steps 9 and 11 until you find a multiple that is also in the other text box.
 * 13) Click and drag a text box to record the a short sentence stating the least common multiple and the 2 numbers.
 * 14) Repeat steps 4-13 for another set of numbers.
 * 15) Click on the GO TO PAGE button from the top toolbar. [[image:Kids3-GoToPageButton.png width="56" height="38"]]
 * 16) Click the ADD button, then click the COLOR TILES button.
 * 17) Drag a set of text boxes for a pair of numbers to compare. This time the students will use the Prime Factorization Method to find LCM. Follow this link for an explanation of the [|Prime Factorization Method for Finding Least Common Multiple].
 * 18) Open Safari.
 * 19) Type NLVM in the Google search box and press the RETURN key.
 * 20) Click on the box NUMBERS & OPERATIONS below GRADES 3-5.
 * 21) Scroll down to find the Sieve of Eratosthenes.
 * 22) Click on SHOW MULTIPLES.
 * 23) Click on the 2 numbers that are being compared to check any done the LCM.
 * 24) Click FILE and PRINT.
 * 25) Click on the LAYOUT choice from drop-down menu in the center of the print window. In Layout, change PAGES PER SHEET from 1 to 2.
 * 26) Click PRINT.