ELL Math NOTES Name _______________________ Topic: Order of Operations Period _______ Date_________ Questions/Main Ideas Vocabulary: simplify: operations: do that firs: do that second: do that third: negative sign: positive sign: CLOs: Simplify each mathematical operation following the right order using PEMDAS. Evaluate an expression. Differentiate between an equation and an expression. =========================================================================== math operations ________________________________________________________________________ expression ________________________________________________________________________ equation ________________________________________________________________________ evaluate ________________________________________________________________________ simplify ________________________________________________________________________ value ________________________________________________________________________ ========================================================================= P _______________________ E________________________ _________________________________ M_______________________ D________________________ _________________________________ A________________________ S________________________ _________________________________ ==================================================================== Math operations are the things we can do with numbers: add, subtract, multiply, divide, etc. has: A math expression is a group of numbers, variables, and math operations. have: other: others: Some expressions have just numbers and operations: Other expressions may have variables: _____________________ _______________________ An equation may have numbers, variables, and math operations. An equation is different from an expression because it is a math sentence. value: An equation has an equal sign (=) Example: _______________________________________________ be careful: The value of a variable or of an expression is the number or quantity it represents. Example: If represent the number of seconds in an hour, what is the value of ? _________ Prepositions below: above: under: in: at: To evaluate an expression means to simplify and find the value of a math expression. =========================================================================== Add numbers with equal signs and leave the sign both have. Subtract numbers with different signs and leave the sign of the greatest number. 4 + 3 = 4 - 3 = 4 - 4 = -4 - 4 = -3 - 4 = - 3 + 4 = -5 -10 -3 = 10 + 5 - 5 = ========================================================================== for: Special Case: BE CAREFUL WITH SIGNS! into: 100 + -50 - - 50 - + 50 = _____________________________________________________ within: 5 + - 5 - + 3 + 10 - - 5 + + 2 - + 2 + - 5 = _____________________________________ Simplify. between: 2 32 4 _________________________________________________________ before: after: 17 6 2 11 32 3 _____________________________________________ ========================================================================= Evaluate. 5g 7 2 g 2 for g = 4 _________________________________________________