3 Examples of how to use Excel in High-School

1. Excel to the rescue…
usage of Excel in high-
school math (3 examples)
Meni Porat
E-mail: PaxMundi@gmail.com
Blog: Meniporat.blogspot.com
Facebook fan page:
http://www.Facebook.com/meni.porat

2. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
1. Excel for Junior high school
The Quadratic Equation
2. Excel for high school
Probability: Binomial Distribution
3. Higher Level Math using Excel
Matrices: Solving A System Of N Equations With N Variables
3 Examples:
1

3. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
The general formula of a quadratic equation
Excel for Junior high school
The Quadratic Equation
2

4. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
The 2 solutions of a quadratic equation
3
Excel for Junior high school
The Quadratic Equation

5. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
The first Solution Formula of the Equation
4
Excel for Junior high school
The Quadratic Equation

6. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
The second Solution Formula of the Equation
5
Excel for Junior high school
The Quadratic Equation

7. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
The Δ (Discriminant) of the Equation
6
Excel for Junior high school
The Quadratic Equation

8. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
• 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 school
The Quadratic Equation

9. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
• 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 school
The Quadratic Equation

10. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
• Solution of the equation: -X2+6X-5=0
Δ is positive: the equation has 2 solutions
Calculating Δ in cell H2
Δ = b2 – 4ac = 62 – 4*(-1)*(-5) = 36-20=16
9
Excel for Junior high school
The Quadratic Equation

11. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
• 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 Manager
10
Excel for Junior high school
The Quadratic Equation

12. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
• 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 school
The Quadratic Equation

13. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
• 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 school
The Quadratic Equation

14. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
• 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 school
The Quadratic Equation

15. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
14
Excel for high school
Probability – Binomial Distribution
Binomial Probability Distribution
n – Number of attempts
k – Number of success results
P – Probability
In order to use the formula, 3 conditions must be met:
1) Successive trials are independent
2) Boolean result in each trial: yes/no, success/failure
3) Constant probability: Each trial has the same probability

16. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
• Example # 1: Non-cumulative Probability (an exact number of successes)
Probability of marksmanship is: 0.33
if 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 school
Probability – Binomial Distribution

17. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
• 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 school
Probability – Binomial Distribution

18. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
Example # 2: Cumulative Probability (at least number of
successes)
Probability of marksmanship is: 0.33
if 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 school
Probability – Binomial Distribution

19. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
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)
18
Excel for high school
Probability – Binomial Distribution

20. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
Example # 3: Cumulative Probability (no more than x
successes)
Probability of marksmanship is: 0.33
if 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 = 0.33
19
Excel for high school
Probability – Binomial Distribution

21. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
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 school
Probability – Binomial Distribution

22. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
A system of 2 Equations with 2 Variables
4 Solution methods:
1. Elimination
2. Substitution
3. Graphical
4. Excel
The Special Program for the gifted High School Student
Matrices: Solving a System of N Equations with N Variables
21

23. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
Method # 1: Elimination
Elimination Method: Finding X
22
The Special Program for the gifted High School Student
Matrices: Solving a System of N Equations with N Variables

24. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
Method # 1: Elimination
Elimination Method: Finding Y
23
The Special Program for the gifted High School Student
Matrices: Solving a System of N Equations with N Variables

25. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
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 Student
Matrices: Solving a System of N Equations with N Variables

26. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
Method # 2: Substitution
Step3: Finding Y Step 4: Finding X
25
The Special Program for the gifted High School Student
Matrices: Solving a System of N Equations with N Variables

27. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
Method # 3: Graphical
The Intersection of the two Lines is the Solution
26
The Special Program for the gifted High School Student
Matrices: Solving a System of N Equations with N Variables

28. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
Method # 4: Excel
1. The Equations system can be expressed as a multiplication of matrices:
coefficient matrix * variable matrix(vector) = constant matrix (vector)
27
The Special Program for the gifted High School Student
Matrices: Solving a System of N Equations with N Variables

29. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
Method # 4: Excel
2. The variable vector expressed as the multiplication of the coefficient
matrix with the constant matrix
28
The Special Program for the gifted High School Student
Matrices: Solving a System of N Equations with N Variables

30. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
Method # 4: Excel
A. The coefficient matrix B. the Values Vector
is in cells A7:B8 is in cells G7:G8
29
The Special Program for the gifted High School Student
Matrices: Solving a System of N Equations with N Variables

31. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
Method # 4: Excel
C. Calculating the inverse matrix (in cells D7:E8) using the MINVERSE
array formula
30
The Special Program for the gifted High School Student
Matrices: Solving a System of N Equations with N Variables

32. "‫אקסל‬"‫הביניים‬ ‫חטיבת‬ ‫לתלמידי‬
-‫הריבועית‬ ‫המשוואה‬:
Method # 4: Excel
D. The MMULT array formula (in cells E13:E14) – finally supplies
us with the Equation’s solutions.
31
The Special Program for the gifted High School Student
Matrices: Solving a System of N Equations with N Variables

33. I’d be glad to answer your
questions….
Meni Porat
E-Mail: PaxMundi@gmail.com
Blog: Meniporat.blogspot.com
Facebook Fan Page:
http://www.Facebook.com/meni.porat