Draw diagrams in base ten or any other number less than ten.
Scratch Method- add numbers until you get add up to ten, then make a slash mark through the number and continue adding.
Lattice Addition is also good because it allows students to write the numbers how they are supposed to when its an answer of more than ten. Although, the set up might confuse the students. This method works great for adding numbers in the hundreds and even the thousands place value.
Expanded Form- when you separate the number. 45+23 (40+5)
(20+3)
= 60+8=68
Expanded form is great because it helps with place value. Makes adding easier for them.
Traditional way is easy for some students to understand but might not be for other students. This method does not really teach place value.
Expanded form subtraction same as the addition one but in this case we are subtracting. This method also is great for place value.
347-288
(300+40+7)
-(200+80+8)=
100+40+7
-80 -8
20+40+7
60+7
-8
52+7=59
Equal addends-
47-16
47+3 =50
-16+3 =19
31
You have to add the same number to both numbers there. This is a method to help you make the math problem easier. Although, its best to add a number that makes the bottom number have a zero in the ones place value.
Lattice Multiplication same set up as addition but instead you multiply the numbers. You draw a square or rectangle depending on what the math problem is. Then you multiply each number together.
When teaching multiplication its best to teach in the following order:
Ones
Twos
Fives
Tenths
Elevens
Threes
Doubles
Nines
Fours
Multiply with Base Ten Blocks. My favorite ! Gets them to draw and use the ten base blocks.
12(13)
You would draw one long and two units vertically and then one long and three units horizontally and then draw lines. They will see that a flat is formed as well as multiple longs and units. Then they add it all up.
Array Method - they use rows and columns to represent the multiplication problem
For example 3(4)
It would be three rows and four columns
Area Model elaborated on the expanded form. Because you draw a square and write the problem in expanded form. Then you multiply each number together and add at the end.
Multiply by groups.
3(4)
Three groups of four.
You would draw three circles and inside of each circle you would draw four plus signs or dots. Then you add up all of the insides and get your answer which is 12.