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AIM:  What is an equation and what does it mean to “solve” one ? OBJECTIVE:  S.W.B.A.T. identify equations and think about what it means to solve equations Homework:  Write two false equations and two true equations.  Involve all four basic operations (addition, subtractions, multiplication, division) at least once  October 1 , 2007 DO NOW What symbol will you always see in an equation ?
Our new unit - Equations  Equations are statements of equality between two or more quantities.  Equations always have equal signs (=) Like all statements equations can be true, false, or open. Examples of true equations 3 = 2 + 1 =  4 = 8 ÷2 π  –  π  = 0
Equations – Open statements Open equations are equations which are neither true nor false.  They usually require more information. Examples of open statements: This dog is big. That woman is her mother. The book is closed. Examples of open equations: y – 3 = 0 r ÷ 4 = 9 c + 2 = 7.3
Equations – Solving When we are directed to solve an equation we want to find the value of the variable which will make the equation true! To solve x – 6 = 10 we look for a number which we could substitute for x which would give us 10 on the right side of the equal sign! 16
Equations – Cover up method 1)Solve  26 = 8 +  v 26 = 8 +  v Guess and check until you find what is missing! v = 18
Equations – Cover up method 7)Solve  m  − 9 = −13 m  − 9 = −13 Guess and check until you find what is missing! m = -4

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Introduction To Equations

  • 1. AIM: What is an equation and what does it mean to “solve” one ? OBJECTIVE: S.W.B.A.T. identify equations and think about what it means to solve equations Homework: Write two false equations and two true equations. Involve all four basic operations (addition, subtractions, multiplication, division) at least once October 1 , 2007 DO NOW What symbol will you always see in an equation ?
  • 2. Our new unit - Equations Equations are statements of equality between two or more quantities. Equations always have equal signs (=) Like all statements equations can be true, false, or open. Examples of true equations 3 = 2 + 1 = 4 = 8 ÷2 π – π = 0
  • 3. Equations – Open statements Open equations are equations which are neither true nor false. They usually require more information. Examples of open statements: This dog is big. That woman is her mother. The book is closed. Examples of open equations: y – 3 = 0 r ÷ 4 = 9 c + 2 = 7.3
  • 4. Equations – Solving When we are directed to solve an equation we want to find the value of the variable which will make the equation true! To solve x – 6 = 10 we look for a number which we could substitute for x which would give us 10 on the right side of the equal sign! 16
  • 5. Equations – Cover up method 1)Solve 26 = 8 + v 26 = 8 + v Guess and check until you find what is missing! v = 18
  • 6. Equations – Cover up method 7)Solve m − 9 = −13 m − 9 = −13 Guess and check until you find what is missing! m = -4