Calendar Math: Algebraic Equations and Number Game Explanation

This assignment delves into the application of algebraic equations through the lens of calendar math. The core of the assignment involves presenting a series of number games based on calendar dates and then dissecting the underlying algebraic principles. Specifically, the assignment outlines two activities. The first activity asks students to select five consecutive numbers and sum them, then demonstrates how to determine the middle number using the sum. The second activity involves selecting four diagonal numbers and summing them, followed by a method to calculate the numbers using the sum. The assignment then elaborates on the algebraic equations behind these number tricks, explaining the variables, operations, and the process of arriving at the original numbers. The solution highlights the algebraic equations and demonstrates how these equations can be used to explain the "magic" of the number games. By connecting these practical number games to algebraic concepts, the assignment aims to enhance the students' understanding of algebraic principles.

Contents
Explore........................................................................................................................................................1
Activity 1..................................................................................................................................................1
Activity 2..................................................................................................................................................1
Elaborate.....................................................................................................................................................2
First activity trick.................................................................................................................................2
Second activity trick.............................................................................................................................2
Explore
First display the given month calendar to the students. Now start the lesson plan by performing
this task.
Activity 1
 Tell students to select any five consecutive numbers and add them.
 Now tell students to just give sum of these numbers.
 Do simple calculations in mind that is explained below-:
 Divide sum by 5. For example if sum told by students is 60.
60/5=12
 Result is middle day of consecutive numbers.
 Days are 10, 11, 12, 13 and 14.
 Perform same activity with different 5-6 groups of students and with different numbers.

Activity 2
 Tell students to select any four diagonal numbers and add them.
 Now tell students to just give sum of these numbers.
 Do simple calculations in mind that is explained below-:
 Divide sum by 4 and subtract 12 from result. For example if sum told by students is 72.
(72/4 )−12=18−12=6
 Add 8, 16, and 24 in result.
 Days are 6, 14, 22, and 30
 Perform same activity with different 5-6 groups of students and with different numbers.
Elaborate
Now explain the tricks to student that behind this magic was algebraic operations.
In the first activity algebraic theory behind the game was-:
First activity trick
 Let assume sum of numbers told by students is 60
 Assume middle number of five diagonal numbers equals to unknown symbol n.
 Then, other numbers are n-2, n-1, n+1 and n+2
 By using algebraic operations and as told by students addition of all numbers was 60
That means
(n−2)+(n−1)+n+(n+1)+(n+2)=60
After opening brackets and addition and subtraction resultant is
5 n=60
n=12
Then assumed numbers are
n=12
(n−2)=12−2=10
(n−1)=12−1=11
(n+1)=12+1=13
(n+2)=12+2=14
After explaining algebra behind this now explain algebra behind second activity as explained
below.

Second activity trick
 Tell students to select any of four days diagonally and just told the sum of these days.
 Let assume sum of four numbers told by students = 72
 In diagonal position on calendar gap between two numbers is of eight number so assumed
numbers are n, n+8, n+16, n+24
Algebraic equation of problem is
n+(n+8)+(n+16)+( n+24)=72
4 n+48=72
4 n=24
n=6
That means days were
n=6
n+8=14
n+16=22
n+24=30
With this calendar math we can explain the magic of algebraic equations.