Translating English to Mathematics PDF
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This document provides a lesson on translating English/verbal phrases into mathematical phrases and understanding algebraic expressions. It includes target learning competencies and activities that focus on translating phrases, evaluating expressions and applying them to real-life situations, suitable for secondary school education.
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Translating English/verbal phrases into Mathematical phrase and vice-versa Target Learning Competencies: 1. translate verbal phrases into algebraic expressions. 2. evaluate algebraic expressions given the value/s of the variable/s. Objectives: At the end of the lesson, the students should...
Translating English/verbal phrases into Mathematical phrase and vice-versa Target Learning Competencies: 1. translate verbal phrases into algebraic expressions. 2. evaluate algebraic expressions given the value/s of the variable/s. Objectives: At the end of the lesson, the students should be able to: 1. classify the terms according to its corresponding mathematical symbol. 2. translate mathematical phrase into a verbal phrase and vice-versa 3. apply algebraic expression in a real-life situations. Activity: Classify Me (ARALINKS) Classify the following terms according to its corresponding mathematical symbol. List them down under the symbol of your selection A knowledge of symbols representing known and unknown quantities alongside with the symbols of operations and relations will facilitate translation of verbal phrases into mathematical phrases. The symbol of operations and relations with their corresponding meanings are as follows: Symbol Meaning + Addition, plus, increased by, added to, the sum of, more than - Subtraction, minus, decreased by, subtracted from, less than, diminished by x, , () multiplication, times, multiplied by, product of /, ÷ division, divided by, ratio of, quotient of = equals, is equal to < is less than > is greater than ≤ is less than or equal to, is at most ≥ is greater than or equal to, is at least ≠ is not equal to The use of the symbols of operation together with symbols such as letters and numbers will enable us to translate verbal phrases into mathematical phrases. It is important for us to be able to associate various key words with their related arithmetic operations. Let us study the following examples below. Verbal Phrases Mathematical Phrases 1. The sum of a and 3 is written as a+3 2. 8 more than p is written as P+8 3. The square of r is written as r2 3. 6 subtracted from b is written as b–6 4. 4 less than y is written as y–4 5. 4 less y is written as 4–y 6. The product of 5 and is written as 5c c 7. The quotient of m is written as m/8 and 8 Try to answer this 1.thrice x decreased by two 2.one-half of the sum of 5 and t 3.the sum of the squares of a and b 4.the square of the sum of a and b Try to answer this 1.thrice x decreased by two – 3x - 2 2.one-half of the sum of 5 and t – ½ (5 + t) 3.the sum of the squares of a and b – a2 + b2 4.the square of the sum of a and b – (a + b)2 Verbal sentence refers to the mathematical expression which is expressed in words and uses the word equals, greater than, or less than. Meanwhile, mathematical sentence is a mathematical expression which is expressed in numbers, letters and symbols such as =, >, or 15 X–2 15 Thrice a number x is greater than 15. X–2