6.NS.1-4
Order of Teaching
6.NS.2 - Division of multi-digit numbers
6.NS.3 - Adding and subtracting decimals
Multiplying decimals
Dividing decimals
6.NS.4 - Divisibility rules
LCM
GCF
Distributive Property
6.NS.1 - Fractions
Adding
Subtracting
Multiplying
Dividing
Paper clip Method
6.NS.2
DIVISION
Fluently divide multi-digit numbers using the standard algorithm
Divisibility - A divisibility test is a rule for determining whether one whole number is divisible by another. It is a quick way to find factors of large numbers.
Divisibility Test for 3: if the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
Notes:see below links for help:
Divisibility Rules: http://www.mathsisfun.com/divisibility-rules.html
http://mathforum.org/dr.math/faq/faq.divisibility.html
Dividing:
What is a DIVIDEND and DIVISOR:
Standard Algorithm:
Slide and Divide Math Tip:Long division
"Does McDonalds Serve Burgers Raw"
Divide - Multiply - Subtract - Bring down - Repeat
Description To help conquer long division, give each student a paper clip and review the steps of long division. When it’s time to work, have each child write the simple division acronym “DMSB” for “Divide, Multiply, Subtract, Bring Down” on her paper and place the paper clip on the D. When the student completes a step, she moves her paper clip to the next letter and solves the next step. -
See more at: http://www.themailbox.com/magazines/editorial/010214_weeklyactivities_int_01#sthash.yUMQEy4l.dpuf
Powerpoint / Video:
Powerpoint:
http://www.primaryresources.co.uk/online/powerpoint/Divisibility%20Rules.ppt
Video:
Divisibility Rules - https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_tests/v/recognizing-divisibility
Dividing - https://www.youtube.com/watch?v=eIUoIhfupuA
- http://www.aaamath.com/div5db3r.htm
Practice:
Divisibility Rules: http://www.321know.com/fra72_x4.htm
Division: http://www.aaamath.com/div.htm
6.NS.3
DECIMALS
Decimals - A Decimal Number is a number that contains a Decimal Point
Notes:see below links for help:
Adding Decimals:
To add decimals, follow these steps:
Write down the numbers, one under the other, with the decimal points lined up
Put in zeros so the numbers have the same length
Then add using column addition, remembering to put the decimal point in the answer
Example: Add 1.452 to 1.3
Line the decimals up: 1.452
+1.3
"Pad" with zeros: 1.452
+1.300
Add: 1.452
+1.300
-----------
2.752
Subtracting Decimals:
To subtract decimals, follow these steps:
Write down the two numbers, one under the other, with the decimal points lined up.
Add zeros so the numbers have the same length
Then subtract normally, remembering to put the decimal point in the answer
Example: Subtract 0.03 from 1.1
Line the decimals up:
1.1
- 0.03
"Pad" with zeros:
1.10
- 0.03
Subtract:
1.10
- 0.03
------------
1.07
Multiplying Decimals:
Just follow these steps:
Multiply normally, ignoring the decimal points.
Then put the decimal point in the answer - it will have as many decimal places as the two original numbers combined.
In other words, just count up how many numbers are after the decimal point in both numbers you are multiplying, then the answer should have that many numbers after its decimal point.
Example: Multiply 0.03 by 1.1
start with:
0.03 × 1.1
multiply without decimal points:
3 × 11 = 33
0.03 has 2 decimal places,
and 1.1 has 1 decimal place,
so the answer has 3 decimal places:
0.033
Dividing Decimals:
To divide a decimal number by a whole number:
Use Division or Long Division (ignoring the decimal point)
Then put the decimal point in the same spot as the dividend (the number being divided)
Example: Divide 9.1 by 7
Ignore the decimal point and use Long Division:
13
7 )91
9
7
21
21
0
Put the decimal point in the answer directly above the decimal point in the dividend:
1.3
7 )9.1
The answer is 1.3
Division Standard Algorithm:
Powerpoint / Video:
What is a decimal: https://www.youtube.com/watch?v=0GL87_AEVUg
Powerpoint:
Rules for Decimals:
All about Decimals:
Video - All About Decimals - add, subtract, multiply and divide :
Decimal Videos :
http://www.mathinenglish.com/videoview.php?stid=100025&id=116
BRAIN POP Website:
http://www.brainpop.com/math/numbersandoperations/decimals/
Practice: Adding / Subtracting/ Multiplying / Dividing
All About Decimal Numbers !file:
http://www.mathsisfun.com/decimals-menu.html