excel to the rescue...how to use excel in high-school math
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Excel to the rescue…usage of Excel in high-school math (3 examples)Meni PoratE-mail: PaxMundi@gmail.comBlog: Meniporat.blogspot.com Facebook fan page: http://www.Facebook.com/meni.porat
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
1. Excel for Junior high schoolThe Quadratic Equation
2. Excel for high schoolProbability: Binomial Distribution
3. Higher Level Math using ExcelMatrices: Solving A System Of N Equations With N Variables
3 Examples:
1
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
The general formula of a quadratic equation
Excel for Junior high schoolThe Quadratic Equation
2
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
The 2 solutions of a quadratic equation
3
Excel for Junior high schoolThe Quadratic Equation
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
The first Solution Formula of the Equation
4
Excel for Junior high schoolThe Quadratic Equation
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
The second Solution Formula of the Equation
5
Excel for Junior high schoolThe Quadratic Equation
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
The Δ (Discriminant) of the Equation
6
Excel for Junior high schoolThe Quadratic Equation
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
• Solution of the equation: -X2+6X-5=0 Δ is positive: the equation has 2 solutions
This Equation has 2 solutions
7
Excel for Junior high schoolThe Quadratic Equation
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
• Solution of the equation: -X2+6X-5=0 Δ is positive: the equation has 2 solutions
-1X2 + 6x -5 = 0
The coefficients of the Equation in cells: E2, F2, G2
8
Excel for Junior high schoolThe Quadratic Equation
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
• Solution of the equation: -X2+6X-5=0 Δ is positive: the equation has 2 solutions
Calculating Δ in cell H2Δ = b2 – 4ac = 62 – 4*(-1)*(-5) = 36-20=16
9
Excel for Junior high schoolThe Quadratic Equation
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
• Solution of the equation: -X2+6X-5=0 Δ is positive: the equation has 2 solutions
Defining the formula in cell H2 using Excel's Name Manager10
Excel for Junior high schoolThe Quadratic Equation
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
• Solution of the equation: -X2+6X-5=0 Δ is positive: the equation has 2 solutions
The general formula for finding the 1st root of a quadratic equation: algebraic (above) and Excel (below)
11
Excel for Junior high schoolThe Quadratic Equation
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
• Solution of the equation: -X2+6X-5=0 Δ is positive: the equation has 2 solutions
“No Solution” message (when Δ is negative)
12
Excel for Junior high schoolThe Quadratic Equation
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
• Solution of the equation: -X2+6X-5=0 Δ is positive: the equation has 2 solutions
Equation’s Solutions: X 1 =1, X 2 =5
13
Excel for Junior high schoolThe Quadratic Equation
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
14
Excel for high schoolProbability – Binomial Distribution
Binomial Probability Distribution
n – Number of attemptsk – Number of success resultsP – Probability
In order to use the formula, 3 conditions must be met:1) Successive trials are independent2) Boolean result in each trial: yes/no, success/failure3) Constant probability: Each trial has the same probability
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
• Example # 1: Non-cumulative Probability (an exact number of successes)
Probability of marksmanship is: 0.33if a soldier shoots at the target 5 times, what is the probability of the
soldier’s hitting the target exactly three times?
Solution when: n = 5, k = 3, p = 0.33
15
Excel for high schoolProbability – Binomial Distribution
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
• Example # 1: Non-cumulative Probability (an exact number of successes)
Solution in Excel: the BINOMDIST function: n = 5, k = 3, p = 0.33
16
Excel for high schoolProbability – Binomial Distribution
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
Example # 2: Cumulative Probability (at least number of successes)
Probability of marksmanship is: 0.33if a soldier shoots at the target 5 times, what is the probability of the
soldier’s hitting the target at least three times (i.e. 3, 4 or 5 times)?
Solution when: n = 5, k = 3, p = 0.33
17
Excel for high schoolProbability – Binomial Distribution
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
Example # 2: Cumulative Probability (at least number of successes)
=BINOMDIST(3,5,0.33,0) + BINOMDIST(4,5,0.33,0) + BINOMDIST(5,5,0.33,0)
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Excel for high schoolProbability – Binomial Distribution
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
Example # 3: Cumulative Probability (no more than x successes)Probability of marksmanship is: 0.33if a soldier shoots at the target 5 times, what is the probability of the
soldier’s hitting the target no more than three times (i.e. 0, 1, 2 or 3 times)?
Solution when: n = 5, k <= 3, p = 0.3319
Excel for high schoolProbability – Binomial Distribution
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
Example # 3: Cumulative Probability (no more than x successes)
=BINOMDIST(3,5,0.33, 1) n = 5, k <= 3, p = 0.33
20
Excel for high schoolProbability – Binomial Distribution
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
A system of 2 Equations with 2 Variables4 Solution methods:1. Elimination2. Substitution3. Graphical4. Excel
The Special Program for the gifted High School StudentMatrices: Solving a System of N Equations with N Variables
21
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
Method # 1: Elimination
Elimination Method: Finding X
22
The Special Program for the gifted High School StudentMatrices: Solving a System of N Equations with N Variables
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
Method # 1: Elimination
Elimination Method: Finding Y
23
The Special Program for the gifted High School StudentMatrices: Solving a System of N Equations with N Variables
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
Method # 2: Substitution
Step 1: “extracting” X from the second Equation
Step 2: replacing X by (3 – Y) in the first Equation
24
The Special Program for the gifted High School StudentMatrices: Solving a System of N Equations with N Variables
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
Method # 2: Substitution
Step3: Finding Y Step 4: Finding X
25
The Special Program for the gifted High School StudentMatrices: Solving a System of N Equations with N Variables
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
Method # 3: Graphical
The Intersection of the two Lines is the Solution
26
The Special Program for the gifted High School StudentMatrices: Solving a System of N Equations with N Variables
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
Method # 4: Excel
1. The Equations system can be expressed as a multiplication of matrices:coefficient matrix * variable matrix(vector) = constant matrix (vector)
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The Special Program for the gifted High School StudentMatrices: Solving a System of N Equations with N Variables
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
Method # 4: Excel
2. The variable vector expressed as the multiplication of the coefficientmatrix with the constant matrix
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The Special Program for the gifted High School StudentMatrices: Solving a System of N Equations with N Variables
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
Method # 4: Excel
A. The coefficient matrix B. the Values Vectoris in cells A7:B8 is in cells G7:G8
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The Special Program for the gifted High School StudentMatrices: Solving a System of N Equations with N Variables
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
Method # 4: Excel
C. Calculating the inverse matrix (in cells D7:E8) using the MINVERSEarray formula
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The Special Program for the gifted High School StudentMatrices: Solving a System of N Equations with N Variables
"אקסל" לתלמידי חטיבת הביניים- המשוואה הריבועית:
Method # 4: Excel
D. The MMULT array formula (in cells E13:E14) – finally suppliesus with the Equation’s solutions.
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The Special Program for the gifted High School StudentMatrices: Solving a System of N Equations with N Variables
I’d be glad to answer yourquestions….
Meni PoratE-Mail: PaxMundi@gmail.comBlog: Meniporat.blogspot.com Facebook Fan Page: http://www.Facebook.com/meni.porat
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