Unit 4 - Multipliyng and Dividing

Summary of Knowledge (what were the goals of the investigation).

The goal of this topic was to learn how to multiply and divide with negative numbers. We learned how to combine - and + ex: -7*(-8)=56. We also learned how to get the answer of operations that have multiplication and division in them. ex: -6*5/(-8)=3.75.





Key Terms.

Negative Number: A number less than 0. In a number line it is located at the left of 0.

Positive Number: A number greater than 0. in a number line it is located at the right of 0.






Task Analysis (we´ll explain how to do a problem step by step)

1.-Looking for signs - or + (for even number of negatives you get a positive and for odd number of negatives you get a negative)



2.-Then you multiply or the number example: -4*-1=5 or -5/1=-5





Examples:


1.) 7*(-8)*(-3)=168

2.) 1/2*(-2/3)*3=240

3.) (1/2)*(-2/3)*3=-1

Quiz:

Video:

Useful Pages:

http://www.coolmath-games.com/numbermonster/mult25.htm

These is a incredible math game. First of all you look for a question that says what do you want to do? Then you click multiplication. after that you select the difficulty of the game. The you just have to enjoy learning...

http://www.purplemath.com/modules/negative3.htm

Here you have a breafe explaining of a little more difficult operations. It will help a lot...

Unit 6-Making Nets

Summary of Knowledge:
The goal of this investigation is to learn about nets, S.A, and volume

Key Vocabulary:
Nets: a 2D figure that when you put it together it forms a 3D figure
Surface Area: amount of surface there is in a 3D object
Volume: amount of space inside of an object

Task Analysis:
1.you measure each side of the box

2.then in a piece of paper draw each measurement (top, bottom, and sides)

3.you start by drawing the base which is the length and width

4.then you draw in all of the four sides of the base measurements of width and heigth and the heigth and length

5.then you cut out the net and fold it into a box

Making Nets Quiz » online quiz

Helpful web pages:
http://www.mathematische-basteleien.de/cube.htm
http://www.senteacher.org/wk/3dshape.php

helpful videos:

Unit 5 - Exponent Rules

Summary of Knowledge:

Students at the end of this section should know how to do many problems that involve multiplying and dividing exponents. They should also learn the riles of a power of a power, and the power of a product or quotient property. Finally, the students should learn the anything to the exponent of 0 is 1.

Key Vocabulary:
Exponent: The power to which a given number or expression is raised.
Base: It is the number or expression that is raised to the exponent.
Task Analysis:
1)Product of power property

1. Make sure the numbers have the same base
2. Add the exponents
3. Check answer
4. General form: x^n*x^m=x^m+^n
5. Example:3^4*3^6=3^4+^6=3^10

2) Power of a power property

1. Make sure that there is a power over a power
2. Multiply the exponents
   
3. Check answer
4. General form: (x^m)^n=x^n*^m
   
5. Example: (5^4)^3=5^4*^3=5^12

3) Quotient of a power property

1. Make sure they have the same base
2. Subtract the exponents
3. Check answer
4. General form: x^m/x^n=x^n-^m
5. Example: 3^5/3^2=3^5-^2= 3^3

4) Power of a product or quotient property

1. Make sure it is a problem in parentheses with an exponent outside.
2. Distribute the exponent to the numbers that are inside.
3. Check answer
4. General form: (x/y)^m=x^m/y^m
5. Example: (6*5)^2=6^2*5^2

Quiz

Videos

Exponent Rules Quiz » online quizzes

Videos:

Useful links

http://www.purplemath.com/modules/exponent.htm

http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_ExponentsRules.xml

Unit 4: Order of Operations

Summary of Knowledge

We learned how to solve problems that have addition, subtraction, multiplication, division, and exponents. We learned the proper way to solve them and the process we have to follow.This is important because that way if someone has an equation in any part of the world they will always have the same answer.

Key Vocabulary

Order of Operations: rules in which to preform operations (multiplicative, addition, subtractions, divisions and exponents)

Exponents: a symbol showing the power to which a quality is to be taken.

Task Analysis

1.Parentheses

a. solve from inside to outside

ex:(2(1)2) 1=first 2=second

2.Exponents

3.Multiplication
a. from left to right

4.Addition and Subtraction

a. from left to right

Examples:
1.

3^3/2^3*(5*10)+20 -30

( SOLVED PARENTHESIS )

3^3/2^3*(50)+20-30

(SOLVED EXPONENTS)

27/8*50+20 -30= 158.75

2.

-10*5+(25 + -5)

(SOLVED PARENTHESIS )

Unit 5 Order of Operations » Quiz maker software
-10*50 + (20) = -480

Quiz

Helpful videos

this videos will help you understand order of operations.

http://www.youtube.com/watch?v=gjrGd9TjjnY&feature=player_embedded#at=86

http://www.youtube.com/watch?v=gjrGd9TjjnY&feature=player_embedded#at=86

Game

this game will help you practice and learn more about order of operations.

http://cemc2.math.uwaterloo.ca/mathfrog/english/kidz/order.shtml

Unit 4 - Adding and Substracting

Summary:
Learn how to add and subtract negative and positive numbers in mathematical problems.
This will help you to calculate weather temperatures more easily and be successful in your business by knowing when you have negative profit and preventing your business to become broke
.


Key Vocabulary:
Commutative Property - The order of the addition or multiplication of two numbers does not change the result.

Absolute Value - The absolute value of a number is it's distance from 0 on the number symbolized by 1.1

Irrational - a number in which the decimal portion ends and doesn't repeat

Task Analysis:
1. Locate the number you are subtracting or adding on the number line.
2. Convert your two signs (+, -) into one only sign.
3. Describe whether: if you are adding you move to right, or if your subtracting move to the left on the number line.
4. Locate your answer and plot you sign (+, -) if any.

Example:

A)

1. -10 - (-12) =

2. -10+12=
3.

4. -10+12=2
B)
1. 5+ ( -3 ) = 2. 5 - 3 =
3.
4. 5-3=2

Adding and Substracting » online testing

Adding and Substracting » quiz builder

Adding and Subtracting Negative and Positive Numbers at CIMT.playmouth.ac.uk/
Adding and Substracting Negative and Positive Numbers at themathpage.com

Unit5 - Square and cube roots

Sumary of Knowledge



The goals for this unit are to understand and know how to make square and cube roots , and know how to estimate a cube and square root. It is important for electrical ingeneers to calculate power factors and electrical load distribution when dealing with 3 face power conections.







Key vocabulary

Irrational number: A number that cannot be expressed as a ratio between two integers and is not an imaginary number. If written in decimal notation, an irrational number would have an infinite number of digits to the right of the decimal point, with out repetition.








Square root: A number or quantity that multiplied by itself gives a given number or quantity.








Cube root:The number that is multiplied by itself three times that gives a given number or quantity.



Task Analysis


Square Root


For finding the square root you need to find a number that multiplied by itself gives you the number that is involved in the equation.

Cube Root


For finding the cubic root of a number you need to find a number that multiplied by itself 3 timesFgives you the number that is involved in the equation





Aproximate Square Root




If you can´t find a number that muliplied by itself gives you the number that is involved in the equation ,you need to find the numbers that it is in between and then you put the numbers that are at the sides as an answer.



Examples

Square Root

√81= ? √81=9
7*7=49
8*8=64
9*9=81

Cube root

∛125= ? ∛125= 5
4*4= 16*4= 64
5*5= 25*5= 125

Aproximate Square Root

√20 is between the square root of 16 and the square root of 25
√16= 4 and √25= 5
so √20 is between 4 and 5. That means that it is irrational.





Additional Help






Games:

click on the following link:
game




Square and Cube Roots quiz » Quiz Maker