ESH120 Lecture Notes - Lecture 11: Order Of Operations
The$ Basic$ Principles$of$Algebra:
https://www.youtube.com/watch?v=zdDjnVfVqPw#action=share
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Fundamentals of Mathematics- Order of Operations:
https://www.youtube.com/watch?v=0xdiolYWqs0#action =share
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Lecture
Reading
What%is%Algebra?
Algebra$ is$the$ language$ of$mathematics
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It$ describes$the$ relationships$ between$ quantities
Examples % of%Algebra
-A=LW:$ The$ formula$ to$calculate$ the$ area$ of$a$square$ or$rectangle
-I=v/r:$ Ohms$law
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-E=mc2:$ Energy$ is$equal$ to$the$ mass $times$ the$ speed$ of$light
What%do%we% Actually% do%in%Algebra?
In$algebra$ we$ generate$ equations$ and$expressions$ and$transform$ them$ so$that$problems$ can$ be$solved
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Why%Should%Students%Learn%Algebra?
-Because$ it$is$the$language$ of$mathematics
-Because$ it$summarises$complex$situations
-Because$ it$is$flexible
-Because$ it$can$be$ used$to$solve$problems
-Because$ students$are$ cut$off$from$many$career$ choices$without$it
*The$ mathematical$ understandings $ that$ enable$ us $to$do$algebra$ s tart$ in$early$ childhood$(patterning)
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Understanding%Algebra
1.$Patterns
2.$Understanding$the$meaning$ of$equal$sign
3.$The$letters$ represent$ numbers,$not$objects
4.$The$syntax$of$algebra
5.$Be$able$to$put$expressions$into$words$and$vice$versa
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Notes
Notes$from$The$Basic$Principles$of$Algebra$ Lecture
Forget% BODMAS
-Grouping$symbols
-Multiplication$and$division$from$left$to$right
-Everything$ els e$ from$ left$ to$right
-If$in$doubt,$use$ brackets
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Notes$from$Order$of$Operations$ Lecture
Week$11-Pattern$and$Algebra
Document Summary
The basic principles of algebra: https://www. youtube. com /watch?v =zddjnvfvqpw#action =shar e. Fundamentals of mathematics- order of operations: https://www. youtube. com /watch?v =0xdiolywqs0#action =shar e. Notes from the basic principles of algebra lecture. A=lw: the formula to calculate the area of a square or rectangle. E=mc2: energy is equal to the mass times the speed of light. In algebra we generate equations and expressions and transform them so that problems can be solved. Because it can be used to solve problems. Because students are cut off from many career choices without it. *the mathematical understandings that enable us to do algebra start in early childhood (patterning) Understanding algebra: patterns, understanding the meaning of equal sign, the letters represent numbers, not objects, the syntax of algebra, be able to put expressions into words and vice versa.