Math Review Jessica O’Donnell 12-1-11

Order Numbers 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.

Compare and Order Number Practice Compare these numbers from least to greatest. 1,569 5,867 1,256 8,678 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 Compare these numbers from least to greatest. 1,569 5,867 1,256 8,678 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 Compare these numbers from least to greatest. 1,569 5,867 1,256 8,678

Compare and Order Number Practice Compare these numbers from least to greatest. 5,867 8,678 Now you can go back to the thousands place and see that the 5 is smaller than the 8 1,256 1,569

Compare and Order Number Practice Compare these numbers from least to greatest. 1,256 1,569 5,867 8,678

Compare Numbers 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.

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 place The 7 is bigger so that makes that whole number bigger

Comparing Numbers Practice 4,789 4,655

Capacity Step 1: Draw the big “G” Step 2: For word problems sometimes it works better to just draw what you need

Capacity Practice 6 3 quarts = ____ pints

There are 4 quarts in each gallon 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? G G G Q Q Q

Just count all the quarts = 12 quarts 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? G Just count all the quarts = 12 quarts G G Q Q Q

Lines Line: A Line that can go for ever in either direction 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

Lineine To infinity and beyond! A straight path extending in both directions with no end points

Line Segment A line segment is straight. It is part of a line, and it has two endpoints. End Point

Ray A ray is a part of a line. It has one end point. It is straight and continues in one direction. End Point

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. These lines make 2 acute angles and 2 obtuse angles. OBTUSE ACUTE

Perpendicular Lines 4 Right Angles 1 2 4 3 Perpendicular Lines are to lines the cross, or intersect, but have 4 right angles. 1 2 4 Right Angles 4 3

Angles Right Angle: Exactly 90° Acute Angle: Less than 90° Step 1: Draw these on your paper Right Angle: Exactly 90° Acute Angle: Less than 90° Obtuse Angle: Greater than 90°

Right Angles Exactly 90°

Acute Angles Less than 90° cute A

Obtuse Angles Greater than 90° Ob ese

Variables 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

x + 12 = 42 - = 30 Variable Practice 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? x + 12 = 42 - = 30 Then I am left with how many cards I had in the beginning. I take the total number of cards that I have now. Then I take away the cards my friend gave me.

x + 12 = 42 x = 30 30 x + 12 = 42 Variable Practice Then make sure you check your work x + 12 = 42 They Match so I am correct x = 30 30 x + 12 = 42

Elapsed Time Step 1:decide which strategy you should use (adding time, Time hopping, subtracting time)

4:00 5:00 6:00 6:30 1hr 1hr 30 min 30 min 2 hrs Elapsed Time Practice Start at 4:00 and go until 6:30. How much time has gone by? 4:00 5:00 6:00 6:30 1hr 1hr 30 min 30 min 2 hrs

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? 1 4:50 70 - 60 10 Start Time 4:00 4:20 :20 + :20 :30 + + :70 4:20 4:50 5:10

Rounding 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

Round to the nearest hundred Rounding Practice 5,6,7,8,9 Round to the nearest hundred 4, 00 8 4,789 4,700 4,800

Round to the nearest thousand Rounding Practice 5,6,7,8,9 Round to the nearest thousand 2, 000 2,389 2,000 3,000

Combinations Step 1:Find out what you are making combinations of. Create a tree diagram

T 3 3 9 H B __ x __ = __ Combination Practice G S P G S P G S P 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? G T S P 3 3 9 __ x __ = __ G H S P G B S P

Making Change 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 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? 4 10 $ 45.00 - $ 12.50 3 2 5 $ .

Making Change: 2 step question 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 4 10 $ 50.00 $ 1 4. 5 + 6. 3 1. - $ 31.00 1 9 $ .

Order of Operations 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

(2 + 3) + 5 = ___ (2 + 3) = ___ 5 + 5= ___ 5 10 Order of Operations Step 1: (2 + 3) = ___ 5 10 5 + 5= ___ Step 2: