Monday, May 23, 2011

Unit 4 - Adding and Subtracting

Summary of Knwledge:
Our goal is that students will learn how to add and subtract positive and negative numbers. Learn how to do algorithms for calcualete the sum and differences, and how to use a number line to help the adding and subtracting.

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

Absolute Vlue: the absolute value of a numbers is the distance from zero on a number line. Simbolysed by (n).

Task Analysis:
1. See if the numbers are negative or positive.
2. See were are the numbers are located in number line.
3. convetr 2 doble sign numbers to just one sign.
+ + = +
+ - = -
- + =-
- - = +
4. Count the numbers of spaces if is adding to the right and to left is subtracting.

Examples:


Quiz:
Ading and Subtracting Quiz » quiz
Video Exapmles:




Images that will help you!!!
How to change double sign to a
simple sign.























Helpful Web Pages:
http://www.shodor.org/interactivate/activities/ArithmeticFour/
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Unit 4 - Multiplying and Dividing






Summary of Knowledge:
The goals of this investigation is to develop algorithms for multiplying and dividing. You will also notice number patterns. You will learn multiplication and division of integrers, to answer questions about speed, time, distance and direction of motion. Upon the completition of this investigation you will be able to divide and multiply negative numbers.

Key Vocabulary:
1. Commutative Property: the order of the addition or multiplication of 2 numbers does not change the result.
2. Absolute value: the absolte value of a number is its distance from zero in a number line it is written (-4)



Task Analysis:


Multiplication and Division:


1. When you multiply/divide a negative number with another negative number your answer will be a positive.


2. When you multiply/divide an odd number of negatives, your answer be a negative number.


3. When you multiply/divide an even number of negatives, your answer will be a positive number.


Absolute Value:

1. If the number is a positive, the absolute value will be the same number because it is the distance from 0.


2. If the number is a negative, the absolute value will be the same number but positive.



Examples:

Multiplication : a. 15 x -5 = -75 c.1/8 x -3/4 =-3/32
b. -10x -7= 70 d. -5/10 x -8/10= 40/100

Division: a. -24 ÷ 6= -4 b. -35÷-5=7
c. -36/40 ÷ -2/4 =
-36/40x -4/2= 144/80 d. 4/5 ÷ -10/15=
4/5 x -15/10= -60/50

Absolute Value:

–3 = 3



Multiplying and Dividing Negatives Quiz! » Quiz maker software



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Unit 6 - Surface Area and Volume for Cylinders

Summary of Knowledge:
The goals of this investigation are to learn how to find the surface area and volume of a cylinder, and we should know the formulas to find the surface area and volume of a cylinder.

Key Vocabulary:
Cylinder: A three-dimensional shape with a top and a base that are congruent circles.
Task Analysis:









  • To find the surface area of a cylinder you should first find the radius, then multiply it by itself .(r*r), times Pi (3.14) times two: 2*(r*r*3.14) You have to multiply it by two because they are congruent circles.





  • And then add the height times two times Pi (3.14) times radius (this is the area of the lateral rectangle)





  • So it will be: 2* (r*r*3.14) + height *2 *3.14 *radius. That will be the surface area.





  • To find the volume of a cylinder you should multiply radius times radius times 3.14 times the height





  • We have to find the area of the base and then multiply it by the height.






Examples:












The diameter of a cylinder is 10 cm, and the height is 8 cm. What is the surface area and the volume?



volume:5*5*3.14*h=628.31 cm3



surface area:5=radius(1/2 of diameter) 5*5*3.14*2=157.07+8*10*3.14=408.40 cm2












































helpful webs




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