Feb. 5, Division and Beginning Fractions

Okay, we have done Integers and Order of Operations.  We have worked on our multiplication table and problems.  So now its time to finish up with division and start on fractions.

I will do some examples for you.  I will have each person come up and work 3 problems on the board.  Then we will do the  Division Worksheet .

After I have checked everyone's sheet then we will go into long division for a few minutes.  I will get each student to work one problem on the board.  Then we will do three problems on the back of the division worksheet.

1.  200 divided by 5.

2.  125 divided by 4.

3.  321 divided by 3.

After this turn in your division sheets to me please for a daily classwork grade.

Now let's start talking about fractions.
I will draw example on the board and ask students for help.  If you miss today's lesson at school you can follow the lesson at Coolmath Fractions.  If that was easy then try the next step up at Next level Fractions


TEST WILL BE FRIDAY ON EVERYTHING WE HAVE COVERED SO FAR!!!!

Tuesday Feb 4, 2014

First, I want everyone to create a multiplication table, grab a construction piece of paper and create a table that looks like this one.  Make sure to write your name on it when you are done and turn it in.  Also make sure if you borrow one of my charts to return it.




Now you will get a multiplication worksheet and I want you to work it only using the table above, no calculators for this please.

After we do this, I want you to do another worksheet for Order of Operations and another worksheet for Integers.

If you finish then you need to work on Review Games on the top link on MathXP.


Worksheet 1- looks confusing but you can do it!!!

Order of Operations (A)

Perform the operations in the correct order.

1. ((−2.6)×(−5.5))÷(−2.6)
2. 3.4−(5.3−(−7.4))
3. 8.8×1.5+1.4
4. 2.6+1.6+(−6.7)
5. (−4.7)×(−4.6+(−0.4))

6. (−2.9+6)÷(−3.1)
7. −3.9−(−5.5+(−4.9))
8. 5.2×(−10)−5.9
9. ((−3.3)÷(−2.2))÷0.6
10. (−0.1)÷(2÷(−2))

Worksheet #2

Multiplying Integers (A)

1×8= 6×8= (−6)×5 = 0×(−9) = 5×2= 4×7=
(−9) × (−2) = (−8)×6 = 4×0= 0×(−5) = (−6)×6 = 3×(−3) = (−5) × (−2) = (−5)×9 = 4×(−4) = 6×5= (−3)×9 = 6×(−3) = (−9)×3 = 9×7= 7×(−4) = 0×(−6) = 9×2=
(−2) × (−4) = (−6) × (−3) =

Find each product. (−5)×1 =
(−7)×5 = 3×4= 8×(−3) = 7×8= (−4)×2 = 4×4= 3×(−1) = 3×(−2) = 3×(−9) = 0×8= (−2)×5 = 8×9= (−2)×1 = (−2) × (−3) = (−7) × (−4) = (−2)×8 = (−5)×2 = (−5) × (−5) = (−8) × (−1) = 3×2= (−3)×8 = 8×(−7) = (−9)×2 = 7×2=

(−9) × (−1) = (−7) × (−2) = (−4)×6 = (−3) × (−8) = (−2) × (−9) = 5×(−1) = (−1) × (−2) = 2×(−7) = 5×(−9) = (−3) × (−9) = (−5) × (−4) = (−8)×1 = 9×1= 3×9= 4×(−5) = (−4)×4 = 1×(−8) = (−5)×6 = (−7) × (−8) = 9×(−9) = 2×3= 4×6=
(−3) × (−4) = (−8) × (−8) = (−8)×2 =

0×2=
(−1) × (−6) = (−6)×8 = (−1)×5 = 1×(−1) = (−2) × (−5) = (−1)×9 = (−9) × (−9) = 8×1= (−2)×6 = 5×4=
(−1) × (−1) = (−1)×2 = (−1) × (−7) = 8×0= 8×(−4) = (−2)×9 = (−1)×0 = (−9)×5 = 5×(−2) = 3×(−6) = 0×3= 3×(−4) = 6×(−5) = 8×(−9) =

Multiplying Integers (A) Answers

1×8=    6×8=    (−6)×5 =      0×(−9) =        5×2=        4×7=
(−9) × (−2) = 
(−8)×6 = 
4×0= 
0×(−5) =
 (−6)×6 = 
3×(−3) = 
(−5) × (−2) = 
(−5)×9 = 
4×(−4) = 
6×5= 
(−3)×9 = 
6×(−3) = 
(−9)×3 = 
9×7= 
7×(−4) = 
0×(−6) = 
9×2=
(−2) × (−4) =
 (−6) × (−3) =

Find each product. (−5)×1 =
(−7)×5 = 
3×4= 
8×(−3) =
7×8= 
(−4)×2 = 
4×4= 
3×(−1) = 
3×(−2) = 
3×(−9) = 
0×8= 
(−2)×5 =
8×9= 
(−2)×1 = 
(−2) × (−3) = 
(−7) × (−4) = 
(−2)×8 =
 (−5)×2 =
 (−5) × (−5) =
 (−8) × (−1) = 
3×2= 
(−3)×8 =
8×(−7) = 
(−9)×2 = 
7×2=

(−9) × (−1) = 
(−7) × (−2) =
 (−4)×6 = 
(−3) × (−8) =
 (−2) × (−9) = 
5×(−1) =
 (−1) × (−2) = 
2×(−7) = 
5×(−9) =
 (−3) × (−9) = 
(−5) × (−4) =
 (−8)×1 = 
9×1= 
3×9= 
4×(−5) = 
(−4)×4 = 
1×(−8) = 
(−5)×6 = 
(−7) × (−8) = 
9×(−9) = 
2×3=       4×6=
(−3) × (−4) =          (−8) × (−8) =           (−8)×2 =

0×2=
(−1) × (−6) =       (−6)×8 =              (−1)×5 =       1×(−1) =        (−2) × (−5) = (−1)×9 =           (−9) × (−9) =           8×1=         (−2)×6 =            5×4=
(−1) × (−1) =            (−1)×2 =            (−1) × (−7) =                  8×0= 8×(−4) = (−2)×9 =             (−1)×0 =             (−9)×5 =             5×(−2) =              3×(−6) = 0×3=            3×(−4) =            6×(−5) =              8×(−9) = 


TURN IN ALL WORK AND RETURN ALL CALCULATORS

Integer Worksheets-Feb. 3rd

Worksheet 1
Adding Integers 

1+4= 
5+2=
(-2) + 6 = 
(-3) + 7 = 
(-1) + 9 = 
5+3= 
3+6= 
1+1=
(-1) + 9 = 
(-2) + (-1) =

6+(-7)= 
5+(-7)=
 5+(-9)= 
6+5=
(-4) + (-5) = 
4+3=
(-1) + (-4) = 
4+9= 
4+(-4)= 
(-4)+4=

7+(-7)= 
(-2)+3= 
8+(-2)= 
3+(-1)= 
(-2) + (-2) = 
2 + (-2) = 
(-7) + (-9) = 
(-6)+5= 
8+(-6)= 
(-2)+9= 

Worksheet 2
3 + (-8) =
6 - (-4) =
6 - 5 =
(-8) + (-2) =
8 + (-10) =
8 - (-2) =
(-2) + 6 =
(-1) - 0 =
(-1) - (-2) =
7 - 4 =
8 - (-2) =

(-9) - (-4) =
(-4) - (-2) =
(-2) - 5 =
8 + 6 =
2 - (-10) =
1 - (-7) =
(-4) - 4 =
7 - 5 =
(-5) - (-6) =
(-2) + 5 =
(-6) + 2 =

7 - 5 =
(-4) - 10 =
(-2) - 7 =
(-9) + 10 =
8 - 5 =
4 + 2 =
9 - (-7) =
(-5) + (-10) =
9 - (-9) =
(-4) - (-10) =
4 + 1 =

Adding and Subtracting Integers- Feb 3rd

OK, so what do we do it the numbers are too big for a number line?

How do we know if the answer will be positive or negative?

Let's look at one we did with small numbers:

Look at these numbers without their signs:  3 and 7

Which is bigger?  The 7.

So, the answer will have that guy's sign... which is positive!

Look at this one:

Look at these and ignore the signs:  2 and 5

Who's bigger?  The 5.

What's his sign?  Negative.  So, the answer is negative!

Next Example!!!

Who wins the sign smack down?  75

So, the answer's going to be negative.

1	Ignore the signs
2	Take the biggest number and subtract off the smaller one

And it needs to be negative.

GREAT JOB, NOW ITS TIME TO SEE IF YOU UNDERSTAND.

Integers 101- February 3

What are Integers???

Integers are whole numbers just not fractions.  They can be a positive numbers, a negative numbers or zero.  JUST NO FRACTIONS!!!!

The Integers:

Integers = { ... , -3, -2, -1, 0, 1, 2, 3, ... }

Remember what these arrows mean!  The positive numbers go on forever to the right... and the negative numbers go on forever to the left!

The Real Numbers:

Real Numbers = All of the integers and all the numbers in between

The Natural Numbers:

Natural Numbers = { 1, 2, 3, 4, ... }
 

The Whole Numbers:

Whole Numbers = { 0, 1, 2, 3, 4, ... }
 

The Positive Numbers:

Positive Numbers = All numbers greater than 0

These are all of the natural numbers and all the numbers in between (including between 0 and 1).

Now you are on a roll.  What about Absolute Value????  That is the distance the number is from the zero.  

Find the absolute value of 4:

Find the absolute value of -5:

Okay we have learned a lot today, let's review with some worksheets now.  Good Luck!!!