JESSICA O’DONNELL 12-1-11 Math Review
Jan 03, 2016
JESSICA O’DONNELL12-1 -11
Math Review
CHECK TO SEE IF YOU ARE GOING FROM LEAST TO GREATEST OR GREATEST TO LEAST
FIRST CHECK THE GREATEST PLACE VALUE. IF THERE ARE THOUSANDS THEN CHECK THE THOUSANDS PLACE FIRST
IF THE NUMBERS IN THE THOUSANDS PLACE ARE THE SAME THEN GO TO THE NEXT PLACE VALUE (HUNDREDS)
IF THE THOUSANDS AND HUNDREDS PLACES ARE THE SAME THEN LOOK AT THE NUMBER IN THE TENS PLACE.
IF THE THOUSANDS, HUNDREDS, AND TENS DIGITS ARE ALL THE SAME THEN CHECK THE NUMBER IN THE ONES PLACE.
IT MIGHT BE A SMART IDEA TO DRAW YOURSELF A PLACE VALUE CHART TO HELP YOU.
Order Numbers
Compare and Order Number Practice
1,569 5,867 1,256 8,678
Compare these numbers from least to greatest.
These numbers both have a 1 in the thousands place. Since we are going from least to greatest. We will start with these
two numbers.
Compare and Order Number Practice
1,569 5,867 1,256 8,678
Compare these numbers from least to greatest.
Now we look at the numbers in the hundreds place.
The 2 is smaller than the 5 so that makes this whole number the smallest number out of all the numbers listed.
Compare and Order Number Practice
1,569 5,867 1,256 8,678
Compare these numbers from least to greatest.
Compare and Order Number Practice
1,569
5,867
1,256
8,678
Compare these numbers from least to greatest.
Now you can go back to the thousands place and see that the 5 is smaller than the 8
Compare and Order Number Practice
1,569 5,8671,256 8,678
Compare these numbers from least to greatest.
STEP 1 : LOOK AT THE NUMBERS IN THE HIGHEST PLACE VALUE AND COMPARE THEM.
STEP 2 : IF THOSE NUMBERS ARE THE SAME CHECK THE HUNDREDS PLACE.
STEP 3 : IF THEY ARE THE SAME THEN CHECK THE NUMBERS IN THE TENS PLACE.
STEP 4 : IF THOSE ARE THE SAME CHECK THE ONES PLACE
STEP 5 : IF ALL THE NUMBERS ARE THE SAME THEN PUT AN = SIGN
STEP 6 : DECIDE WHICH NUMBER IS BIGGER AND HAVE THE ALLIGATOR EAT THE BIGGER NUMBER.
Compare Numbers
Comparing Numbers Practice
4,789 4,655
The thousands place are the same
Comparing Numbers Practice
4,789 4,655
Now we look at the hundreds placeThe 7 is bigger so that makes that whole number
bigger
Comparing Numbers Practice
4,789 4,655
STEP 1 : DRAW THE BIG “G” STEP 2 : FOR WORD PROBLEMS SOMETIMES IT
WORKS BETTER TO JUST DRAW WHAT YOU NEED
Capacity
Capacity Practice
3 quarts = ____ pints
6
Capacity Practice
I am going to a soccer game and I need to fill a 3 gallon water jug. I only have a quart container. How many times will I have to fill it?
GGG
There are 4 quarts in
each gallon
Q QQ Q
Q QQ Q
Q QQ Q
Capacity Practice
I am going to a soccer game and I need to fill a 3 gallon water jug. I only have a quart container. How many times will I have to fill it?
GGGQ QQ Q
Q QQ Q
Q QQ Q
Just count all the quarts = 12 quarts
STEP 1 : DRAW THESE ON YOUR PAPER Line: A Line that can go for ever in either direction Line segment: A line that has two end points Ray: A line that has one end point and one line that goes on
forever Parallel lines: Two lines that will never cross Intersecting lines: Two lines that cross to make 2 acute and
two obtuse angles Perpendicular lines: Two lines that cross to make 4 right
angles
Lines
Lineine
A straight path extending in both directions with no end points
To infinity and
beyond!
Line Segment
A line segment is straight. It is part of a line, and it has two endpoints.
End Poin
t
End Poin
t
Ray
A ray is a part of a line. It has one end point. It is straight and continues in one direction.
EndPoint
Parallel Lines
Parallel lines are two lines that run side by side but will NEVER touch each other.
Intersecting Lines Intersecting Lines cross each other like
streets cross at a stop light.
OBTUSE
OBTUSE
ACUTE
ACUTE
These lines make 2 acute angles and 2 obtuse angles.
21
4 3
Perpendicular Lines
Perpendicular Lines are to lines the cross, or intersect, but have 4 right angles.
4 Right
Angles
STEP 1 : DRAW THESE ON YOUR PAPER Right Angle: Exactly 90° Acute Angle: Less than 90° Obtuse Angle: Greater than 90°
Angles
Right Angles
Exactly 90°
Acute Angles
Less than 90°
Acute
Obtuse Angles
Greater than 90°
Obese
STEP 1 :LOOK AT THE OPERATION STEP 2 : TRY TO TURN IT UNTO A STORY STEP 3 : SOLVE THE PROBLEM STEP 4 : CHECK YOUR ANSWER
Variables
Variable Practice
x + 12
= 42
- = 30
TRY TO MAKE TURN THE PROBLEM INTO A STORY:You have some baseball cards. Your friend gave you twelve more. Now you have 42. How many did you have before?
I take the total number of cards that I have now.
Then I take away the cards my friend gave
me.
Then I am left with how many cards I
had in the beginning.
Variable Practice
x + 12
= 42=30
Then make sure you check your work
x
x + 12
= 42
30
They Match
so I am correct
STEP 1 :DECIDE WHICH STRATEGY YOU SHOULD USE (ADDING TIME, TIME HOPPING, SUBTRACTING TIME)
Elapsed Time
Elapsed Time Practice
Start at 4:00 and go until 6:30. How much time has gone by?
4:00 6:305:00 6:00
1hr 1hr 30 min
2 hrs 30 min
Adding Time Practice
Robbie got to the toy store at 4:00pm. He looked at the Star Wars figures for 20 min. Then he played with the video games for 30 min. Finally, he looked at the board games for 20 minutes. What time did he leave the store?
4:00Start Time
:20+
4:20
4:20 :30+
4:50
4:50 :20+
:70
70- 60 10
5:10
1
STEP 1 :UNDERLINE THE PLACE THAT THEY ARE ASKING YOU TO ROUND TO
STEP 2 : DRAW THE ARROW TO THE NUMBER BEHIND STEP 3 : ASK IF THAT NUMBER HAS THE POWER TO
BUMP YOU UP OR DO YOU HAVE TO STAY THE SAME STEP 4 : EITHER BUMP THE NUMBER UP OR KEEP IT
THE SAME. THEN ALL THE OTHER NUMBERS BEHIND BECOME ZEROS
STEP 5 : REMEMBER IF YOU ARE ROUNDING TO THE NEAREST HUNDRED THE NUMBER IN THE THOUSANDS PLACE STAYS THE SAME
Rounding
Rounding Practice
Round to the nearest hundred
4,789
5,6,7,8,984
,00
4,700 4,800
Rounding Practice
Round to the nearest thousand
2,389
5,6,7,8,92
,000
2,000 3,000
STEP 1 :FIND OUT WHAT YOU ARE MAKING COMBINATIONS OF.
CREATE A TREE DIAGRAM
Combinations
Combination Practice
At Thanksgiving dinner we had a lot of choices. We had turkey, ham, and beef. We also had green beans, squash, and potatoes. How many combinations could I make?
T
H
B
G
S
P
G
S
P
G
S
P
__ x __ = __3 3 9
STEP 1 : CHECK TO SEE HOW MUCH MONEY YOU HAVE TO GO TO THE STORE
STEP 2 : PUT THE MONEY THAT YOU HAVE ON TOP WHEN YOU SUBTRACT.
STEP 3 : DON’T FORGET TO BORROW THE SUGAR FOR YOUR DEAR OLD GRANNY’S BIRTHDAY CAKE
STEP 4 : DON’T FORGET BOTTOM BIGGER BETTER BORROW!!
Making Change
Making Change
$ 45.00$ 12.50-
05
4 10
.23$
I have $45.00 to spend at the store. I want to buy a doll that costs $12.50. How much change will I receive?
Making Change: 2 step question
$ 50.00$ 31.00-
00
10
.91$
I have $50.00 to spend at the grocery store. I bought a steak for $14.50 and a cake for $16.50. How much change will I get back?
STEP 1: ADD your total
$ 1 4.
5 0
+ $ 1 6.
5 0
$ 3 1.
0 0
4
STEP 1 : PLEASE EXUSE MY DEAR AUNT SALLY STEP 2 : DO WHAT YOU SEE IN THE PARENTHESIS ( )
FIRST STEP 3 : MULTIPLY OR DIVIDE STEP 4 : ADD OR SUBTRACT
Order of Operations
Order of Operations
(2 + 3) + 5 = ___Step 1:
(2 + 3) = ___
5 + 5= ___Step 2:
5
10