L3: Order of Operations Using P.E.M.D.A.S
Master Order of Operations (PEMDAS) for algebra success!
Order of Operations - The Foundation of Algebra Order of Operations, aka P.E.M.D.A.S. lays the foundation for everything you will do in Algebra II this year.It is important to review this as we move forward because the Order of Ops may not always appear to us a straight-forward as it has in the past and often trips people up as early as Unit 1 this year! If you can solidify your grasp on the basics, the rest of Algebra II gets much easier.Watch the video to fill in the notes that follow Use the khan Academy video to fill in the notes. Everything in Algebra II revolves around your ability to apply the Order of Operations.When evaluating expressions, we must perform operations in a particular, agreed upon order.1. Parentheses2. Exponents3. Multiplicationand Division, which have the samelevel of priority4. Additionand Subtraction, which also have the samelevel of priorityWhen you have multiple operations at the same level, then you do these operations from leftto right. Just the same as you read a book in English! The main thing to keep in mind is that step 3 operations are equal, but have higher priority than the step 4 operations.A final note, you can be a little loose with Order of Operations if you have ALL addition or ALL multiplication. Typically, you are safer just following the standard rules. Order of Operations - With Exponents Watch the video to fill in the notes that follow Evaluating Expressions Write the solution to each expression in its simplest form. Keep solutions as fractions, not decimals Original Problem Simplified Form -6 348 -577 Evaluating Expressions with Variables Watch the video then complete the Khan Academy assignment linked below. Mini Calculator Lesson Parenthesis- Must be used around all negative numbers (especially when multiplying or using exponents)Ex. (-5)2 = 25, but -52 = -25- Can be used for multiplicationEx. 2(4) = 8 or (2)(4) = 8- Can be used to group multiple operations. This is especially useful for fractions. The whole numerator is one set of parenthesis and the denominator is a whole other set. Keep in mind you may have parenthesis withing parenthesis!Ex. 3 = (3) / (4) or (x + 3) / (3 * (x -4))Fractions- Use the division sign " ÷ " to write fractions* To convert decimals to fractions or to simplify fractions: - Enter the value you wish to convert or simplify- Click " Math "- Click "Enter" twice* To convert fractions to decimals: - Enter the value you wish to convert- Click " Math "- Go down to " 2: Dec "- Click " Enter" twiceTo return to the main screen- Click " 2nd"- Click " Mode" 6th grade (practice) This work should appear under your Khan Academy account. Please be sure you are logged in when you complete the assignment! Khan Academy Part 1 3rd grade (practice) This work should appear under your Khan Academy account. Please be sure you are logged in when you complete the assignment! Khan Academy Part 2 Equations, expressions, and inequalities Quiz 1 on Khan Academy. This work should appear under your account, please make sure you are logged in while taking the quiz so that it is recorded Quiz on Evaluating Expressions with Variables