The pegword strategy is used almost exclusively in math because it is designed specifically to help students remember numeric information, especially in a particular sequence. Mnemonics are used in teaching math facts, order of operations, measurement, geometry, problem-solving techniques, and other areas of math. For example, “ Every Good Boy Does Fine” is commonly used to help music students remember the notes on the lines of the treble clef.Īll three types of mnemonic strategies can be used effectively in teaching math. Acrostics are sentences in which the first letters of the words correspond to the first letters of the information students are expected to remember. For example, the acronym HOMES can be used to help students remember the names of the Great Lakes (Huron, Ontario, etc.). Letter - Letter strategies include acronyms and acrostics (or sentence mnemonics).For example, the pegword for “one” is “bun.” Pegwords are used to help students remember information involving numbers or other information in a particular order. Pegword - Pegwords refer to a set of rhyming words that are used to represent numbers.For example, a mnemonic for remembering the definition of the word “carline” (meaning witch) might be a drawing of a witch driving a car. The teacher creates a picture or other graphic that links the old and new information in the student’s memory. Keywords are generally used with an illustration of some type. Keyword - A keyword is a familiar word that sounds similar to the word or idea being taught.There are three basic types of mnemonic strategies: Mnemonics are particularly helpful in teaching students with disabilities who have difficulty recalling verbal and content-area information, as they are effective with any type of verbal content. These strategies have been proven effective with students at a wide range of ability levels (gifted, normally achieving, and those with mild and moderate disabilities) and at all grade levels. Mnemonics instruction links new information to prior knowledge through the use of visual and/or acoustic cues. Therefore, you will use Trig Ratios, the Triangle Sum Theorem, and/or the Pythagorean Theorem to find any missing angle or side length measures.Mnemonic instruction is a set of strategies designed to help students improve their memory of new information. Q: What does it mean to solve a right triangle? A: When you solve a right triangle, or any triangle for that matter, it means you need to find all missing sides and angles. Q: Where is the adjacent side of a triangle? A: The adjacent side of a triangle is the side (leg) that is touching the angle but is not the hypotenuse. Q: Where is the hypotenuse of a right triangle? A: They hypotenuse of a right triangle is always opposite the 90 degree angle, and is the longest side. Q: When to use sohcahtoa? A: When you are given a right triangle, where two of the side lengths are given and you are asked to find the third side. We have other methods we’ll learn about in Math Analysis and Trigonometry such as the laws of sines and cosines to handle those cases. If we have an oblique triangle, then we can’t assume these trig ratios will work. Q: Is sohcahtoa only for right triangles? A: Yes, it only applies to right triangles. So how do we remember these three trig ratios and use them to solve for missing sides and angles?įinding Sides and Angles Using Inverse Trig Common Questions Remember the three basic ratios are called Sine, Cosine, and Tangent, and they represent the foundational Trigonometric Ratios, after the Greek word for triangle measurement.Īnd these trigonometric ratios allow us to find missing sides of a right triangle, as well as missing angles. Key Point: Regardless of the size of the triangle, these trigonometric ratios will always hold true for right triangles. Therefore, the sets of ratios depend only on the measure of the acute angle, not the size of the triangle. It stated that the ratios of the lengths of two sides of similar right triangles are equal. We’ll dive further into the theory behind it in the video below, but essentially it’s taken from the AA Similarity Postulate that we learned about previously. It’s a mnemonic device to help you remember the three basic trig ratios used to solve for missing sides and angles in a right triangle. It’s probably one of the most famous math mnemonics alongside PEMDAS.Īnd it’s an essential technique for your mathematical toolbelt. Jenn, Founder Calcworkshop ®, 15+ Years Experience (Licensed & Certified Teacher)
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