Unit Two

During this unit student are working on strategies for multiplication.


When students are struggling with multiplication facts one strategy they have been taught is to break up arrays into smaller units.



Another strategy for solving multiplication problems is to break one of the factor's in the problem into two small numbers that the student can work with.


    8 x 12
     10  2
(8 x 10) + (8 x 2)


Arrays: An arrangement of a set of numbers or objects in rows and columns.


          OR                4x6

Factor: Numbers that when you multiply them together you get another number.

                     3 x 4 = 6

                     ↑     ↑
                Factor  Factor

Example: 3 and 4 are factors of 12, because 3x4=12.

Also 2x6=12 so 2 and 6 are also factors of 12, and 1x12=12 so 1 and 12 are factors of 12 as well.

So ALL the possible factors of 12 are 1,2,3,4,6 and 12.

Multiple: Any number has a set of multiples. These multiples are that number multiplied by various integers. For example, the multiples of 3 are 3,6,9,12,15 or 3x1=3, 3x2=6, 3x3=9 .

Example: 3 × 4 = 12
12 is a multiple of 3 and also of 4

Prime: A number that can only be divided by itself and 1.

Ex. 1,2,3,5,7,11

Composite: A number that can be divided by itself and 1 another number evenly.

Ex. 4,6,8,9,10,12

Square Number The number you get when you multiply another number by itself.

Ex. 4 x 4 = 16  (16 is a square number)

Unit One

Place Value

During this unit student learned the place value of numbers up to hundred thousand.  They also learned the three forms of writing a number and reading a number.  Students worked with comparing whole numbers and ordering whole numbers form least to greatest and greatest to least. 

                   Place Value Chart


Standard Form: Writing a number in numeral form. 

Ex. 276,892

Word Form: Writing a number using the word for that number and place value instead of the numeral form.

Ex. Two hundred seventy-six thousand, eight hundred ninety-two

Expanded Form: A way to write a number that shows the sum of values of each digit of a number.

Ex. 200,000+70,000+6,000+800+90+2


If two values are equal, we use the "equals" signexample: 2,687 = 2,687
If two values are definitely not equal, we use the "not equal to" signexample: 2,894 ≠ 2,896
But if one value is smaller than another, we can use a "less than" sign.example: 32,579 < 42,589
And if one value is bigger than another, we can use a "greater than" signexample: 998,479 > 978,268