#All students take calculus mnenomic how to#

For example, you’ve likely used a phrase similar to “ My Very Educated Mother Just Sent Us Nine Pizzas” to help you remember the nine planets and their order in our solar system:Īssociation is a fairly easy technique to help you remember new information. Creating the acronym (and word) “pace” from the items’ first letters and thinking “pace” as you walk through the grocery store may help you remember all the items you need:Īn acrostic is a similar mnemonic device, but it can be a sentence or a whole phrase instead of just one word. You can also use acronyms as mnemonic devices in day-to-day situations like grocery shopping.įor example, if you need to remember to buy pasta, apples, cilantro, and eggs at the store and you don’t have a way to write a shopping list, you may easily forget some random items. For instance, many government agencies use acronyms, such as NATO (North Atlantic Treaty Organization) or NASA (National Aeronautics and Space Administration).

scuba (self-contained underwater breathing apparatus)Īn acronym doesn’t even need to be a “real” word - as long as it sounds like one.

laser (light amplification by stimulated emission of radiation).

Some words we commonly use as “stand-alone” words are acronyms. For instance: HOMES is an acronym for the five Great Lakes: Below are five of the most common types of mnemonic devices:Īn acronym is a word created from the first letter of a group of words or names. There are several types of mnemonic devices, and many of them overlap in how they work. Here isa recap video for SOHCAHTOA.Share on Pinterest Design by Wenzdai Figueroa And whether they know it or not, it'll be the start of a beautiful friendship. Sometimes, they won't even need the unit circle to mediate between them. It won't happen overnight, but eventually students and trigonometric functions will start spending more time together. Once the students are familiar with reference angles, it's easy to transition to radians. Starting in degrees may help make the math theory less intimidating for students.

#All students take calculus mnenomic how to#

The mnemonic 'All Students Take Calculus' (or whatever other mnemonic you think of for ASTC) often helps students remember which of the six trigonometric functions is positive in each of the four quadrants.ĭrawing simple sketches in the coordinate plane with angles in all four quadrants will help students learn how to find reference angles. Start in the neutral territory of quadrant I where everything is positive, and slowly start venturing elsewhere. Once students know the three main functions (sine, cosine, and tangent), teachers can help students remember reciprocal functions by always pairing functions with their reciprocals (sine with cosecant, cosine with secant, and tangent with cotangent). At least that way, they can look trig functions in the eye again. If they've forgotten just about everything, it might be good to remind them of SOHCAHTOA.

Hopefully, students are already proficient using the Pythagorean rule and basic trigonometry. A reference triangle with x and y coordinates and radius r, and angle θ is a good place to start. Students should use the unit circle to define all six trigonometric functions in terms of coordinates x and y and radius r. Sure, trigonometric functions haven't been the easiest to deal with, but there's no need for a Sharks-versus-Jets rivalry, is there? After all, there must be a reason the unit circle hangs around with trig functions. So when students find out that their best friend, the unit circle, has been fraternizing with not one, not two-but six trigonometric functions, their initial reaction might be one of utter shock, horror, and despair.īut…maybe this unforgivable betrayal is really an opportunity in disguise. Just remember: you can never have too many friends. But if your best friend hangs out with your sworn enemy, things are bound to get a little bumpy. Everyone has different opinions, and we're all entitled to them. We can't expect our best friends to like and dislike all the same people we do. Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measure angle traversed counterclockwise around the unit circle.