Using Numbers and Organizing Data
2.2 Many Names for Numbers
2.3 Place value in Whole Numbers
Counting Numbers: The numbers 1, 2, 3, 4, 5, 6, 7...
Expanded Notation: A way of writing a number as the sum of the values of each digit


 Bamzooki Challenge: Play Game 1 and show an indepth understanding of the facts!

2.4 Place Value with a Calculator
The number 56,385 is a large number.
 The digit in the ones place is 5. It is worth 5.
 The digit in the tens place is an 8. It is worth 80.
 The digit in the hundreds place is 3. It is worth 300.
 I could subtract 70. For example... 570  70 = 500 Now my tens digit is a 0
 200+30+30+5 = 265
 255 + 10 = 265
2.5 Organizing and Displaying Data
Estimate: A guess that employs a strategy.
Landmarks: an notable feature of data.


Hey diddle, diddle, the median is the middle you add and divide for the mean the mode is the one that you see the most and the range is the difference between! YEAH! 

Do you still need some helps with Mean, Median, and Mode? The TripleM Crew can help you out! 

 Skyscrapers in the City: Find the mean, median, and mode for a set of buildings.
 Rags to Riches: Compete on this game show and answer the questions to earn BIG BUCKS! 
2.6 The Median
Median: The middle value in a set of data when the data is listed in order from smallest to largest.
How to find the median:
1. Gather your data. [2, 6, 6, 8, 7, 4, 2]
2. List all the data from smallest to largest [2, 2, 4, 6, 6, 7, 8]
3. Count from each end to the number in the middle [2, 2, 4, 6, 6, 7, 8] (The median is 6.)
4. If two numbers are in the middle, then the median is the average of the two numbers. Add the two numbers together and divide by 2.
How to find the median:
1. Gather your data. [2, 6, 6, 8, 7, 4, 2]
2. List all the data from smallest to largest [2, 2, 4, 6, 6, 7, 8]
3. Count from each end to the number in the middle [2, 2, 4, 6, 6, 7, 8] (The median is 6.)
4. If two numbers are in the middle, then the median is the average of the two numbers. Add the two numbers together and divide by 2.
 Find the Middle Troll: Help the Cyberchase gang find the right troll to send to the beauty contest!

2.7 Addition of Multidigit Numbers
Ballpark Estimates: A way to check an answers to see whether it makes sense.
Sometimes we make a ballpark estimate in advance or as a final check. One way to estimate an answer is to change the addends (the numbers we are adding) to "closebuteasier" numbers and then add those.
These estimations have no one correct answer. There can be many different correct answers. It depends on how you look at the each number and which number you decide is “close but easier” for you.
For example… 254 + 135
We use the word ballpark because it has certain boundaries for numbers, similar to a real ballpark that has boundaries for the ball. We make a ballpark estimate using the boundaries to come up with a fairly accurate idea of the answer. For example, if we estimated 23 + 49, would it be closer to 70 or 80? Using the ballpark estimate (or boundaries), we would say it's closer to 70; or that 80 would be out of the ballpark.
Sometimes we make a ballpark estimate in advance or as a final check. One way to estimate an answer is to change the addends (the numbers we are adding) to "closebuteasier" numbers and then add those.
These estimations have no one correct answer. There can be many different correct answers. It depends on how you look at the each number and which number you decide is “close but easier” for you.
For example… 254 + 135
 You might find that 255 is a close and easier number so 255 + 135 = 390
 You might see 254 and decides that it is close to 250 and 135 is close to 140 so 250 + 140 = 390
 You might notice that 254 is close to 300 and 135 is close to 100 so 300 + 100 = 400.
We use the word ballpark because it has certain boundaries for numbers, similar to a real ballpark that has boundaries for the ball. We make a ballpark estimate using the boundaries to come up with a fairly accurate idea of the answer. For example, if we estimated 23 + 49, would it be closer to 70 or 80? Using the ballpark estimate (or boundaries), we would say it's closer to 70; or that 80 would be out of the ballpark.


 Glowla's Estimation Contraption: Use Glowla's Estimation Contraption to ballpark estimate.
 Who Wants to be a Millionaire: Round your way to a million dollars! 
partial sum method
An addition algorithm in which separate sums are added for each place value of the numbers and then those sums are added to get a final sum. EDM has taught this since 2nd grade.

column Addition method
An addition algorithm in which the addends' digits are first added in each placevalue column separately, and then 10for1 trades are made until each column has only one digit.

 Review It: Watch as 6,089 + 7,825 is solved using the partialsum method for addition!
 Review It: Watch as 398 + 427 is solved using the column addition method!c  Hoop Shoot: A competitive addition game with the red team vs. the blue team! Who will win?  Fruit Splat: Shoot the right fruit to score the points! Can you get the high score? 
2.8 displaying Data with Graphs
making a line plot graph
A sketch of data in which check marks, Xs, or other symbols above a labeled line show the frequency of each value.
Mr. C measured the height of his 4th graders. Here is the data...
{44, 55, 50, 49, 45, 58, 53, 55, 54, 49, 49, 47, 48, 55, 51, 52, 51, 47, 52, 52, 45, 48, 49, 48, 47, 51, 49} He wanted to get a quick view of what that data looked like, so he made a sketch of the data using a Line Plot graph. 
making a bar graph
A graph with horizontal or vertical bars that represent data.
Mr. C measured the height of his 4th graders. Here is the data...
{44, 55, 50, 49, 45, 58, 53, 55, 54, 49, 49, 47, 48, 55, 51, 52, 51, 47, 52, 52, 45, 48, 49, 48, 47, 51, 49} He wanted to present his data and represent it so that others could look and understand it easily, so he made a bar graph. 
2.9 subtracting of multidigit numbers
Partial Difference Method
A subtraction algorithm in which separate differences are computed for each place value of the numbers, then added to get a final difference. This method involves negative numbers.

Trade First Method
A subtraction algorithm in which all necessary trades between places in the numbers are done before any subtractions are carried out. This lets you concentrate on one thing at a time.

 Drag and Drop: Can you solve these subtraction puzzles and win the game?
 Fruit Splat: Shoot the right fruit to score the points! Can you get the high score?  Home Run: CAn you score a grand slam home run using subtraction? 
"Show what you know"
are you ready?
Can YOU add multidigit numbers?
 256 + 698 = ?
 5,265 + 9,254 = ?
 1,254  632 = ?
 6,245  2,124 = ?
 Mr. C asked 7 students how many hours of TV they watched on a Saturday. Here is the data he collected: { 2, 4, 4, 8, 7, 4, 2 }
 What is the maximum hours of TV watched on a Saturday?
 What is the minimum hours of TV watched on a Saturday?
 What is the range of hours of TV watched on a Saturday?
 What is the mode (most frequent number) of hours of TV watched on a Saturday?
 What is the median (or typical number) of hours of TV watched on a Saturday? Explain how you found the median.
 Make a bar graph displaying the information. Remember to label it and give it a title.
 _________________________________________________________ = About _____ cm
 _____________________________________________________________________________________________ = About _____ cm
 Draw a line segment that is 4.5 cm long.
 Draw a line segment that is 18 cm long.
 Without adding, will 1,526 + 4,235 be greater than 5,500?
 Without subtracting, will 1,525  884 be less than 1,000?