File:Order of Ops - JPEG - 8.23.V.jpg
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Summary edit
DescriptionOrder of Ops - JPEG - 8.23.V.jpg |
English: This method builds on what students already know:
1. Do the most important things first - in life and in math. Repeaters cause Bigger Change - they are more important. (Bigger Change is easy to illustrate/visualize on a number line. Just show a few examples of how multiplication moves the result farther than addition.) 2. Perform the operations “just like you read a sentence.” (When you say, left to right, you imply something new. This is not new.) That's it! This method starts by pairing operations with what they have in common: Repeaters or Singles. These two terms simplify Order of Operations AND help to describe/conceptualize/group the Common Core fact families. Naming the pairs helps students with several other math subjects. It is part of learning basic math - not an extra step in learning this method. Common Core = Common Vocabulary When students learn about exponents - a YEAR later - they are easy to add because they follow the same (simpler) concept. Exponents cause even bigger change - exponential change! Parens are not operations but a means to symbolize special treatment. It’s an easy concept to ingrain by visually substituting hands for parens, or parents for parens, or… In math, that special treatment is: Do First So….by pairing operations, delaying exponents and separating the parens topic: we give students 2 simple choices rather than 6 confusing ones (w/ pemdas); we change the Q&A from answers like,“because the M comes before the A” to concepts that are fundamental to math. Once the pair names are tied to the rationale (EQUAL but OPPOSITE in effect, undo/reverse), the following questions can be used OVER and OVER (for years) to answer questions on Order of Ops, Equations, Fact Families, Fractions, Number Lines… “What is its pair?” and/or “…and why are they paired?” |
Date | |
Source | Own work |
Author | GregWelch8 |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 11:48, 29 December 2022 | 841 × 1,195 (175 KB) | GregWelch8 (talk | contribs) | Uploaded own work with UploadWizard |
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Date and time of data generation | 14:57, 23 August 2022 |
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Orientation | Rotated 90° CCW |
Software used | Windows Photo Editor 10.0.10011.16384 |
File change date and time | 14:58, 23 August 2022 |
Date and time of digitizing | 14:57, 23 August 2022 |
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DateTimeDigitized subseconds | 00 |
Color space | sRGB |