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Course: Algebra 1>Unit 1

Lesson 1: Overview and history of algebra

Creativity break: Why is creativity important in algebra?

Algebra is a creative problem-solving tool, similar to art. Just as an artist uses different techniques and brushes to create a masterpiece, algebra combines various mathematical tools to solve complex problems. It's not about memorizing solutions, but about using your knowledge in innovative ways. Created by Khan Academy.

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• Top 3 things to know about Algebra

1. Variables/7+x=13/x=variable/Ex of Variables:
x,y,z,a,n,m,π,etc. Left/Right
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2. Equations/7+x=13/X=6/1 way 13-7=6/Using ⚖ 7+x=13

Solve Unknown Number

3.Graphs/ x and why together look like +, you make lines in to find the coordinates by lines.
• All seems good, except π is not a variable. It is a constant, and its value is approximately 3.14 (it goes on forever)

Sometimes, we have to use letters to represent constant numbers. This is because some numbers like π are impossible to write as a regular fraction or decimal because they are irrational (they go on forever, without a certain pattern).
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• Sal is now Saad. Creatively. ;-)
• If Alegbra was a repersentaion of creativty. What other math forms use the same format as algebra.
• By looking at the last sentence of the video, "and the beautiful thing is that this balancing and solving equations can be done in many different ways which is where creativity comes in" sums it up pretty well for me. To me, this means that higher math such as Geometry, Algebra II, Pre-cal, Calculus, and beyond all have that same perspective of allowing for creativity because there is more than one path to get to the same place. While upper math is still about patterns, it is being able to view these patterns from different angles as part of this creativity. Even though I have studied math for over 50 years and taught it for over 20, my students as well as those working on Khan Academy can notice things from a different perspective, and we can analyze together and determine if that will work all or most of the time (sone math rules have a few exceptions) or find a counterexample to show that it may not always work. Even when it may not work, there is still a lot of creativity, thinking, and analyzing that strengthens the brain and can be applied to other areas beyond math.
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• What is algebra? Algebra is the branch of mathematics in which abstract symbols, rather than numbers, are manipulated or operated with arithmetic. For example, x + y = z or b - 2 = 5 are algebraic equations, but 2 + 3 = 5 and 73 * 46 = 3,358 are not. By using abstract symbols, mathematicians can work in general terms that are much more broadly

Origin of Subject The roots of this subject dates back to 1900 BC when it was traced that it was Babylonians who came up with Algebra. 3. Algebraist If you think that one class of Algebra makes your head spin, imagine a person who specializes in the subject.
• Why is creativity apart of algebra its just numbers...
(1 vote)
• It is numbers, letters, equations, etc. and the creativity of math and algebra comes from the fact that there is often numerous ways to do things in math, so you can choose a variety of paths to get to the same answer. Number sense which I coach is a good example of creativity in math.
Examples: 15x34 can be done with writing down things and multiplying, or you could double 15 and cut 34 in half (30*17) which is a much easier multiplication to get 510 which can be done in your head. You can show that (10x+5)^2=100x^2+100x+25, factor out 100x in first two to get 100(x)(x+1)+25, this allows you to multiply 45^2 in your head (100)(4(5)+25=2025. 95^2=100*9*10+25=9025. How numbers are related to each other and can be manipulated to make calculations easier is very creative and makes math fun.
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