Difference between revisions of "Template:Science-Content"

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== Textbook ([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage]) ==
 
== Textbook ([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage]) ==
  
== Text ==
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== Notes for teachers ==
  
== Variable ==
 
 
In mathematics, a variable is a
 
value that may change within the scope of a given problem or set of
 
operations. In contrast, a constant is a value that remains
 
unchanged, though often unknown or undetermined.[1] The concepts of
 
constants and variables are fundamental to many areas of mathematics
 
and its ''<u>applications.</u>''
 
A &quot;constant&quot; in this context should not be confused with a
 
mathematical constant which is a specific number independent of the
 
scope of the given problem.
 
  
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== Lesson plan ([{{fullurl:{{FULLPAGENAME}}/Lesson Plan|action=edit }} Click to create the subpage]) ==
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Use <nowiki>{{subst:Lesson Plan}}</nowiki> in the newly created subpage.
  
One may use any letteras m,l,p,x,y,z etc to show a variable . Remeber , a
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== Web Interatives ==
variable is a number which does not have a fixed value. For ex ,the
 
number 5 or the 100 or any other given number is not a variable. They
 
are fixed values.(constant). Similiarly the number of angles of a
 
triangle has a fixed value i e 3. It is not a variable.The number of
 
corners of a qudrilateral is fixed (4 ) it is also not a variable.
 
But the measurement of each side of a qudrilateral is not fixed.
 
  
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== Multimedia resources ==
== Dependent and independent variables ==
 
 
Variables
 
are further distinguished as being either a dependent variable or an
 
independent variable. Independent variables are regarded as inputs to
 
a system and may take on different values freely. Dependent variables
 
are those values that change as a consequence to changes in other
 
values in the system.
 
  
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== Project Ideas ==
== Expressions ==
 
 
An expression is a mathematical term or a sum or
 
difference of mathematical terms that may use numbers, variables, or
 
both.
 
  
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== Assessments ==
=== Example: ===
 
 
The following are examples of expressions:
 
  
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== Evaluation for the concept (for the teacher) ==
*2
 
*x
 
*3 + 7
 
*2 × y + 5
 
*2 + 6 × (4 - 2)
 
*z + 3 × (8 - z)
 
 
 
'''Example:'''
 
 
Gangaiah weighs 70 kilograms, and Somanna weighs k kilograms. Write an expression for their combined weight. The combined weight in kilograms of these two people is the sum of their weights, which is 70 + k.
 
 
'''Example:'''
 
 
A car travels down the highway at 55 kilometers per hour. Write an expression for the distance the car will have traveled after h hours. Distance equals rate times time, so the distance traveled is equal to 55 × h..
 
 
 
 
Example:
 
 
 
There are 2000 liters of water in a swimming pool. Water is filling the pool at the rate of 100 liters per minute. Write an expression for the amount of water, in liters, in the swimming pool after m minutes. The amount of water added to the pool after m minutes will be 100 liters per minute times m, or 100 × m. Since we started with 2000 liters of water in the pool, we add this to the
 
amount of water added to the pool to get the expression 100 × m +
 
2000.
 
 
 
 
To evaluate an expression at some number means we
 
replace a variable in an expression with the number, and simplify the
 
expression.
 
 
 
 
Example:
 
 
 
 
Evaluate the expression 4 × z + 12 when z = 15.
 
 
 
 
We replace each occurrence of z with the number
 
15, and simplify using the usual rules: parentheses first, then
 
exponents, multiplication and division, then addition and
 
subtraction.
 
 
 
 
4 × z + 12 becomes
 
 
 
 
4 × 15 + 12 =
 
 
 
 
60 + 12 =
 
 
 
 
72
 
 
 
 
Example:
 
 
 
 
Evaluate the expression (1 + z) × 2 + 12 ÷ 3 - z
 
when z = 4.
 
  
 
We replace each occurrence of z with the number 4,
 
and simplify using the usual rules: parentheses first, then
 
exponents, multiplication and division, then addition and
 
subtraction.
 
 
 
(1 + z) × 2 + 12 ÷ 3 - z becomes
 
 
 
(1 + 4) × 2 + 12 ÷ 3 - 4 =
 
 
 
5 × 2 + 12 ÷ 3 - 4 =
 
 
 
10 + 4 - 4 =
 
 
 
10.
 
 
== Lesson plan ([{{fullurl:{{FULLPAGENAME}}/Lesson Plan|action=edit }} Click to create the subpage]) ==
 
Use <nowiki>{{subst:Lesson Plan}}</nowiki> in the newly created subpage.
 
 
== Evaluation for the concept (for the teacher) ==
 
 
== Fun corner ==
 
== Fun corner ==
  

Revision as of 17:41, 8 July 2013

Concept Map

Textbook (Click to create the subpage)

Notes for teachers

Lesson plan (Click to create the subpage)

Use {{subst:Lesson Plan}} in the newly created subpage.

Web Interatives

Multimedia resources

Project Ideas

Assessments

Evaluation for the concept (for the teacher)

Fun corner

Usage

Create a new page and type {{subst:Content}} to use this template