﻿ Mr. Maffesoli - Parents

Click on one to the buttons below to access strategies for the four mathematical operations.

These links pertain to the national standards and the standardized test used by the Michigan Department of Education.

For actual web links, you can go to the students' page by clicking the button at the top of this page.

These strategies are useful for helping your child develop fluency with basic addition:

Count All : Count all of the objects in both numbers (This is just for the beginning to establish the concept of addition)
Count On : Start with the bigger number and count on (This is a transitional strategy to get us out of the counting all)
Add 2 : Start with the bigger number and skip a number to add by 2 (5+2 skips over 6 and finishes at 7 on a number line)
Add 3 : Use your 'Add 2' strategy and go 1 further (Once you know 5+2=7, go 1 more for 5+3 and get 8)
Add 4 : Use your 'Add 2' strategy twice (If you know 5+2=7, do another skip by jumping over 8 to solve 5+4=9)
Doubles : Adding a number with itself (This is quicker and easier than just counting on, and is used heavily for multiplying)
Doubles plus One : Use your doubles facts and add 1 extra (In 4+5 think of 5 as 4+1, so 4+5 is 4 doubled [8] plus 1)
Turn-Arounds : You can switch the addends (Used best when adding 5,6,7,8; If you know 8+2, then you know 2+8)
Add 9 : Start by adding 10, then just take 1 away (For 8+9 start with 8+10 [18] and take away 1 to get 17)
Add 10 : To add 10 you are putting 1 in the tens column (7+10 starts with 0 tens,7 ones; We put 1 in the tens column [17])
Make 10 : Create a group of 10, then add on (For 8+6, think of 6 as 2+4, so 8+6 is 8+2+4 which is just 10 and 4 more, 14)

Note: These strategies are adapted from the work of mathematician/author Greg Tang.

EVERYDAY MATHEMATICS ANIMATIONS OF ADDITION STRATEGIES

SUBTRACTION

These strategies are useful for helping your child develop fluency with subtraction:

Subtract to 10 : Subtract to get back to 10, then subtract the rest (12-5 : 12-2 gets you back to 10 then -3 = 7)
Subtract to 10s : Subtract to get back to the nearest ten, then the rest (82-5 : 82-2 gets you 80 then -3=77)
Subtract to 100 : Subtract to get back to 100, then subtract the rest (120-50 : 120-20 get you to 100, then -30 = 70)
Add Up : Use addition to find the difference between numbers (17-8 : 8 +2 makes 10 then +7 more for a total of 9 [2+7] )
Parital Differences : Find individual column differences (48-36 : Tens [4-3=1] Ones [8-6=2], so answer=12)

Note: These strategies are adapted from the work of mathematician/author Greg Tang.

EVERYDAY MATHEMATICS ANIMATIONS OF SUBTRACTION STRATEGIES

MULTIPLICATION

These strategies are useful for helping your child develop fluency with basic multiplication:

x 0 : The answer will always be 0
x 1 : The answer is the same as the number being multiplied by 1
x 2 : Just double the number that is being multiplied by 2 (The groundwork here was established in addition)
x 3 : Doubles plus one (5x3 = 5x2 plus 5x1. This is 5 doubled [10] plus one more group of 5 )
x 4 : Double Double (5x4 = 5x2x2. This is 5 doubled [10] and then double that answer to get 20)
x 5 : Multiply by 10 and then cut it in half (6x5 = Start with 6x10 [60] and then just cut in half to get 30)
x 6 : Multiply by 3 and then just double (8x6 = Use your previous knowledge [8x3=24] and double the 24 to get 48)
x 7 : Multiply by 5, Multiply by 2 and combine (8x7 = 8x5 [40] plus 8x2 [16] ; The final answer is 40+16, or 56)
x 8 : Multiply by 4 and then just double (9x8 = 9x4x2. This is 9x4[36] doubled : 30 doubled=60 + 6 doubled=12, total is 72)
x 9 : Multiply by 10 then take away a group (9x3= 10x3 [30] take away a group of 3 [30-3] to get 27)
x10: Just tack on a 0 at the end (8x10 = 8 groups of 10, or just 8 in the tens place followed by a 0, which is 80)
x11: For single digits it's just a repeat (9x11=9x1 in the tens column [90] plus 9x1 in the ones column[9] or 9 shown twice [99] )
x12: Multiply by 10, Multiply by 2 and combine (7x12 = 7x10 [70] plus 7x2 [14] for a total of 84 when you add the 70 and 14)

Note: These strategies are adapted from the work of mathematician/author Greg Tang.

EVERYDAY MATHEMATICS ANIMATIONS OF MULTIPLICATION STRATEGIES

DIVISION

These strategies are useful for helping your child develop fluency with basic division:

÷ 2 : Just split the number in half (18 ÷ 2 is just 18 cut in half, which is 9)
÷ 4 : Cut in half twice (24÷ 2 is just 24 cut in half [12] then cut that in half to get 6)
÷ 5 : Double then divide by 10 (30÷ 5 is done by doubling the 30 [60] & dividing by 10,which removes the 0 ones [6] )
÷ 6 : Cut in half, then divide by 3 (42÷6 is 42 cut in half [21] then divide that by 3 to get 7 )

÷ 8 : Cut in half three times (48 ÷ 6 is 48 cut in half [24] which gets cut in half [12] and one more time [6] )
÷10 : Remove the 0 that is in the ones column (90÷10 is done by deleting the 0 in 90 to get 9)

Note: These strategies are adapted from the work of mathematician/author Greg Tang.

EVERYDAY MATHEMATICS ANIMATIONS OF DIVISION STRATEGIES

The links can be clicked, and the document can also be printed.

Michigan M-STEP Test

Guide to M-Step
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COMMON CORE STATE STANDARDS

Myths vs. Facts About Common Core
What Parents Should Know About the CC Standards
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