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Working with unknowns

Working with unknowns. Slideshow 8, Mathematics Mr. Sasaki, Room 307. Objectives. To understand simplified algebraic notation To be able to relate algebraic expressions to real world expressions To link information to algebraic expressions and simplify them. Algebraic notation.

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Working with unknowns

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  1. Working with unknowns Slideshow 8, Mathematics Mr. Sasaki, Room 307

  2. Objectives • To understand simplified algebraic notation • To be able to relate algebraic expressions to real world expressions • To link information to algebraic expressions and simplify them

  3. Algebraic notation This will seem very basic to most of you but it may be new to others. We will now go over the basics. Algebra deals with unknowns. An unknown is something (usually a number) that we don’t know. But we can work with this and sometimes find what the unknown is. Unknowns are usually letters.Some common examples are…

  4. Algebraic Notation These letters are used the most, many other letters have common meanings so they are not used often (eg: r means radius). Sometimes Greek symbols are used such as α,θ,∑,∂and ℓ which are common, especially in higher level mathematics. These usually have a meaning or representation. Note: Careful with x. Write it as or develop your own style but if you write , it may look like the multiplication symbol.

  5. Algebraic Notation Let’s use the unknown, to help us represent some amounts of things. 3 bananas 3 Notice the multiplication symbol isn’t used. A quarter of a piece of cake We don’t usually write ÷ in algebra. Everything is written as a fraction.

  6. Algebraic Notation The symbols + and – are used in algebra as normal. Unlike and÷, we cannot simplify them. A bracket symbol is used as normal and numbers or unknowns can appear immediately before them (eg: 4(3 + 2). This means 4(3 + 2). Try the short worksheet!

  7. Answers 3 2 7 3 3 3 8 9 4 5 2 1 7 5 4 5 -2 6 6 1 1

  8. Expressing worded problems Algebra can be useful for expressing problems in a simpler way so they are easier to understand. This can be a useful skill! Example Yuki buys three apples and a banana. Show this algebraically. 3 (Unless it says so in the question, you may use any letter to represent an unknown.)

  9. Expressing worded problems Examples Muto buys a square of chocolate with one side 2 cm. Find the perimeter and the area. 8 2 = Perimeter: 22 = 4 (2 = Area: Try the last worksheet!

  10. Answers 4 3 + y 7 2 = 10z 2 3 + z - 2000 = 3 3(2 + 2z) = 3500 3

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