Math Review

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