Public
schools in Michigan are accountable for teaching the standards identified
in the Grade Level Content Expectations, also called the GLCEs (pronounced
'glicks') . The MEAP Test is created directly from the math
skills that are listed in the GLCEs. The MEAP is taken by students
in Grades 3-8. It is administered in the fall to evaluate skills
learned in the previous grade.

Each
math skill is designated as Core (a key skill) ,
Extended Core (an extension of a key skill), Future
Core (a skill that will be identified as Core beginning
in Fall 2009) , or NASL (a skill that is expected
to be learned, but is not assessed at the state level) . Only
skills in Grades 2-7 have these labels because they correspond to
emphasis on the MEAP Test, which is taken in the fall by students
in Grades 3-8.

The
links below detail the GLCEs and also feature questions from actual
MEAP Tests of previous years.

View
the Math GLCEs
View
the Math GLCEs with Core Designations
Explanation
of the GLCEs
Parent
Guides to the GLCEs
Michigan
Department of Education
MEAP
Released Items (Tests in Grades 3,4,5)
MEAP
Released Items (Tests in Grades 6,7,8)
We
use the Everyday Mathe matics
series here at Allendale. Our ultimate goal is to teach the skills
identified in the GLCEs from the State of Michigan. The Everyday
Mathematics series is Allendale's primary (but not sole) resource
in reaching that aspiration. The links below can be useful in working
specifically with Everyday Mathematics .

Computerized
Animations about Everyday Mathematics Algorithms:

Addition
Animations
Partial
Sums (2 Digits + 1 Digit)
Partial
Sums (2 Digits + 2 Digits)
Partial
Sums (3 Digits + 3 Digits)
Partial
Sums (4 Digits + 4 Digits)
Partial
Sums (Tenths)
Partial
Sums (Hundredths + Tenths)
Column
Addition (2 Digits + 2 Digits)
Column
Addition (3 Digits + 3 Digits)
Column
Addition (Tenths)
Column
Addition (Hundredths + Tenths)
Opposite
Change (2 Digits + 2 Digits)

Subtraction
Animations
Trade
First (2 Digits - 2 Digits)
Trade
First (3 Digits - 3 Digits)
Trade
First (4 Digits - 4 Digits)
Trade
First (Tenths - Hundredths)
Counting
Up (2 Digits - 2 Digits)
Counting
Up (3 Digits - 2 Digits)
Counting
Up (Tenths - Hundredths)
Left
to Right (2 Digits - 2 Digits)
Left
to Right (3 Digits - 3 Digits)
Left
to Right (Tenths - Hundredths)
Partial
Differences (2 Digits - 2 Digits)
Partial
Differences (3 Digits - 3 Digits)
Partial
Differences (Hundredths)
Same
Change (2 Digits - 2 Digits)

Multiplication
Animations
Partial
Products (2 Digits x 1 Digit)
Partial
Products (3 Digits x 1 Digit)
Partial
Products (2 Digits x 2 Digits)
Partial
Products (3 Digits x 2 Digits)
Partial
Products (Tenths)
Partial
Products (Hudredths)
Lattice
Multiplication (2 Digits x 1 Digit)
Lattice
Multiplication (3 Digits x 1 Digit)
Lattice
Multiplication (2 Digits x 2 Digits)
Lattice
Multiplication (3 Digits x 2 Digit)
Lattice
Multiplication (Tenths x Tenths)
Lattice
Multiplication (Tenths x 1 Digit)
Lattice
Multiplication (Hundredths x Tenths)

Division
Animations
Partial
Quotients (2 Digits ÷ 1 Digit)
Partial
Quotients (3 Digits ÷ 1 Digit)
Partial
Quotients (3 Digits ÷ 2 Digits)
Partial
Quotients (4 Digits ÷ 1 Digit)
Partial
Quotients (4 Digits ÷ 2 Digits)
Partial
Quotients (Tenths ÷ 1 Digit)
Column
Division (2 Digits ÷ 1 Digit)
Column
Division (3 Digits ÷ 1 Digit)

Everyday
Mathematics Family Letters :
Choose
a Grade
Pre-Kindergarten
Kindergarten
Kindergarten(Español)
1st
Grade
1st
Grade (Español)
2nd
Grade
2nd
Grade (Español)
3rd
Grade
3rd
Grade (Español)
4th
Grade
4th
Grade (Español)
5th
Grade
5th
Grade (Español)
6th
Grade
6th
Grade (Español)
Everyday
Mathematics Online Games
Everyday
Mathematics Home Page
Everyday
Mathematics Homework Help
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 heavilyfor 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)
For
questions about these strategies, click here
to e-mail Mr. Maffesoli.
Note:
These strategies are adapted from the work of mathematician/author
Greg Tang.
Click
here to print addition
flashcards!
Click
here to print
your own addition worksheets.
Click
here to view
links to websites for practicing math facts.
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)

For
questions about these strategies, click here
to e-mail Mr. Maffesoli.
Note:
These strategies are adapted from the work of mathematician/author
Greg Tang.
Click
here to print subtraction
flashcards!
Click
here to print
your own subtraction worksheets!
Click
here to view
links to websites for practicing math facts.
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)

Click
here to print
your multiplication flashcards that feature these multiplication
strategies.
For
questions about these strategies, click here
to e-mail Mr. Maffesoli.
Note:
These strategies are adapted from the work of mathematician/author
Greg Tang.
Click
here to print multiplication
flashcards!
Click
here to print
your own multiplication worksheets.
Click
here to view
links to websites for practicing math facts.
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)

For
questions about these strategies, click here
to e-mail Mr. Maffesoli.
Note:
These strategies are adapted from the work of mathematician/author
Greg Tang.
Click
here to print
your own division worksheets!
Click
here to view
links to websites for practicing math facts.
Click
here for a list of math links recommended
by Mr. Maffesoli.

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

Note:
Link requires Adobe Acrobat, which is free software. Click here
to download it.