Download math class study guide

MATH CLASS STUDY GUIDE: NUMERATION
Mrs. Walker's Class
What should we know and be able to do regarding math number sense? This will be assessed on __________________
Standard:
Skill:
4N1 Read, write, interpret
numbers to 100,000
Place value
Compare/order #'s
to 100,000
4N2 Represent #'s in
expanded notation
and standard notation
Example:
Given 239,006 read it correctly
Answer and Hint:
(two hundred thirty-nine thousand, six)
Do not say "and"
Listen: "five hundred thousand,
fifty". Write it correctly
500,050 (place zeroes correctly)
Tell value of the underlined digit.
608,932
The underlined 8 is worth 8,000
Put in order from least to greatest
(or from greatest to least)
16,030 16,300 16,003 (L to G)
Be sure to follow the instruction.
Look at highest place values first
Least 16,003 16,030 16,300 Greatest
Show 7,016 in expanded notation.
What is the standard form of
60,000 + 500 + 3 ?
7,000 + 10 + 6
60,503
4N7 Recognize classes of #'s Identify Even and odd numbers
How do you know if 643 is even or odd?
Is 230,617 even or odd? (ODD)
Is 333,000 even or odd? (EVEN)
What are the factors of 18?
List the common factors of 12 and 30?
Which are the square numbers?
Look at the digit in the ones place.
If “ones” place is 0,2,4,6, or 8, it is even
If “ones” place is 1,3,5,7,or 9, it is odd.
Factors are the numbers being multiplied to
get the product of 18: 1,2,3,6,9,18
1,2,3,6 are all factors of both 12 and 30
1,4,9,16,25,36,49,64,81,100, etc.
4N9 Commutative Property
Show an example of it.
(Order Property)
Show an example of it.
(Grouping property)
Property of One
In addition, 2 + 75 = 75 + 2
In multiplication, 6 x 7 = 7 x 6
In addition, (4 + 3) + 9 = 4 + (3 + 9)
In multiplication, (3 x 2) x 4 = 3 x (2 x 4)
In multiplication, 1 times any number = itself
4N10 Solve Word Problems
(All four operations)
Solve money problems
Read the problem carefully.
Use words in the label.
Explain why you need to add, subtract, multiply
or divide. Show all work. Compute accurately!
Line up decimal points. Use $ and (.) in answer.
4N12 Add and subtract up to
five digit numbers.
48,040 - 39,779 =
61,998 + 25,407 =
Line up place values. Regroup accurately.
Place comma correctly in the answer.
Associative Property
Identity Property
Multiply three digits by 759 X 36 =
Two digits
Regroup correctly. Be accurate.
Divide three digits by
One digit
Show remainders in the quotient.
4N14 Show the correct
algorithm for all
computations in 4N12
436 -- 7 =
Set up the problem correctly.
Use all steps. Show regroupings.
Line up place value columns.
4N16 Round # to 100,00 to
Round 576,185
nearest ten, hundred,
thousand, ten thousand,
and hundred thousand.
nearest 10…..
nearest 100…
nearest 1,000…
nearest 10,000…
nearest 100,00…
576,190
576,200
576,000
580,000
600,000
4N17 Use a variety of
estimation strategies.
Rounding
As in 4N16 Know when rounding will help.
Front-end estimation
84 + 37 =
Look ONLY at the front digits!
Add the 8 and the 3 only = about 110
Know when this strategy might be useful.
Estimate using compatible
numbers: 50 - 7 =
4P1
Explain and extend
patterns.
Estimate rounding to
greatest place: 5 x 478 =
Round only the large number.
Greatest place in 478 is hundreds place.
478 rounds to 500 (nearest hundred)
5 x 500 = 2,500
What comes next?
5, 8, 11, 14, …
Create a descending pattern.
Find the pattern and apply it.
Add 3 each time, so next is 17, 20, …
Start high, subtract an amount.
(52, 46, 40, 34, …) minus 6 each time
Multiply numbers by themselves (square #)
1,4, 9,16,25,36,…
Vocabulary:
Compute
Regroup
Product
Remainder
Zero Property
Decimal
Look for the closest multiple of 7
49 - 7 = 7 , so it is around 7
Front-end estimation
Addend
Factor
Divisor
Identity Property
Tenths
Commutative Property
Sum
Multiple
Dividend
Compatible Number
Hundredths
Associative Property
Difference
Quotient
Round
Estimate
Expanded Notation