https://padlet.com/lsmeltze/3xwtjg5zxezi Created By: Lauren Smeltzer, Megan Galasieski, Johnathan Allen and Michelle Uhriniak en-us 2016-10-18 17:29:14 UTC 2024-06-08 17:32:16 UTC hello@padlet.com lsmeltze https://padlet.com/lsmeltze/3xwtjg5zxezi/wish/131572446 -Defintion : as numbers become increasingly larger exponential notation is an easier way to simplifiy rather then writing in standard form. 
-  Painted Cube  Activity  is a great way to demonstrate and teach exponents.  1x1x1 cube a 2x2x2 cube and 3x3x3 cube and so on. as the painted cube grows so does the size. 
- Order of Operations: working with the exponents extends the order of operations. order of operations is not just a convention, its based on the meaning of the operations. 
-Exponents in Expressions
Students starting out need to explore exponents with whole numbers before using exponents with variables.
- A whole- number exponent is simply the repeated multiplication of the number times itself.
Example: 3^5= 3x3x3x3x3
The three in this problem represents the base of the exponent.

Practice Problems
Identify the base and solve.
2^6= 
4^4=
2^3=
2^5=


]]> 2016-10-18 17:36:54 UTC https://padlet.com/lsmeltze/3xwtjg5zxezi/wish/131572446 lsmeltze https://padlet.com/lsmeltze/3xwtjg5zxezi/wish/131574883 Overall, our group reaction thought for the Integers section was very helpful and how it provide different strategies on how to teach it to our future students. In addition, we feel it helped us become more confident when teaching these certain concepts. Furthermore, this chapter helped us is how it provided a lot of technology resources that could be infused into our lessons. ]]> 2016-10-18 17:41:20 UTC https://padlet.com/lsmeltze/3xwtjg5zxezi/wish/131574883 mgalasie https://padlet.com/lsmeltze/3xwtjg5zxezi/wish/131579397 Activity 23.12, Finding the Zero.

For negative numbers, you find the opposite number that would equal 0. From there you see if you could take that number from the remaining number, making the remaining number the answer.

Example 12 + (-5)
opposite of -5 is 5, making a zero.
12 - 5 is 7. Therefore (7 + 5) + (-5) )= 7 + (5+(-5) = 7+0 = 7.

Problems 

8+ (-3)

9 + (-6)

5 + (-2)

-8 + 12

-14 + 7

21 + (-11)

Bonus

39 + (-23)

]]> 2016-10-18 17:52:27 UTC https://padlet.com/lsmeltze/3xwtjg5zxezi/wish/131579397 mgalasie https://padlet.com/lsmeltze/3xwtjg5zxezi/wish/131581050 Definition: Whole numbers, fractions and decimals, and integers are all rational numbers because they can all be written as a fractions with an integer over a nonzero integer.

Video
https://www.youtube.com/watch?v=lK01rJiZ9CI






]]> 2016-10-18 17:55:49 UTC https://padlet.com/lsmeltze/3xwtjg5zxezi/wish/131581050 lsmeltze https://padlet.com/lsmeltze/3xwtjg5zxezi/wish/131581534 -Definition: Whole numbers and their negatives or opposites.

-Quantity Contexts: Provide an opportunity for students to match opposites (4 and -4) to equal zero. Examples of this can include golf scores, and money payments and deposits. 

-Linear Contexts: A number line provides a good tool for understanding the ordering of negative numbers and can support reasoning in doing operations with positive and negative numbers. Examples of this can include temperatures, altitude, and timelines. 

-Negative numbers: Defined in relation to their counterparts. n+?=0 If n is a positive number, the opposite of n is a negative number. 
-Models for teaching positive and negative numbers: Counters and Number Lines

-Operations: 
Addition and Subtraction: Focus on the meaning of 
opposites.
Multiplication and Division: Think of multiplication as equal groups, or repeated addition. Connect division of negative numbers with what students know about positive numbers. ]]> 2016-10-18 17:56:52 UTC https://padlet.com/lsmeltze/3xwtjg5zxezi/wish/131581534 jallen211 https://padlet.com/lsmeltze/3xwtjg5zxezi/wish/131595933 exponents and powers of 10 http://micro.magnet.fsu.edu/primer/java/scienceopticsu/powersof10/index.html

Integers and negative numbers http://www.math-play.com/integers-game.html

order of operationshttp://www.math-play.com/Order-of-Operations-Millionaire/order-of-operations-millionaire-game.html

Exponents Song
https://www.youtube.com/watch?v=QIZTruxt2rQ

operations with positive and negative numbers National Library of Virtual Manipulatives



]]> 2016-10-18 18:30:15 UTC https://padlet.com/lsmeltze/3xwtjg5zxezi/wish/131595933