Basic Concepts on Fraction Fraction – is defined as a part of a whole. In some other books‚ it is defined as a number written in the form ab ‚ where “a” and “b” are numbers and “b” is not equal to zero. Basic Parts of a Fraction * Numerator – the number above tells how many parts are taken. * Denominator – the number below tells how many equal parts the whole is divided. * Fraction bar – line that separates the two numbers. It also indicates division. There are several kinds
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Adding & subtracting fractions 1. Where in life is this useful? a) Cooking: [pic] b) Measurements (construction‚ remodeling‚ etc): [pic] c) Time: [pic] d) Money: [pic] 2. Fractions with the same (“common”) denominators Example: (without converting back & forth from mixed numbers): [pic] [pic] 3. Fractions with different denominators In order to add (or subtract) fractions with different denominators
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| Math SL Portfolio-Lacsap’s Fractions | Type 1: Investigation Portfolio Greenwood High (An International School) | | | | | Table of Contents: Introduction……………………………………………………………………………………………………..……..…...Page 2 Patterns in Numerator………………………………………………………………………………….………………Page 2 and Page 3 Plotting Graph of Row Number and Numerator……………………………………………………………Page 4 to Page 7 Finding Denominator………………………………………………….………………………………………..………Page 8 to Page 9 Finding Further Rows……………………………………………………………………
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Portfolio #1 This portfolio surrounds the mathematical ideals of the LACSAP’s Fractions‚ and creating the task of answering certain questions about a specific symmetrical pattern. Through a work entirely of my own and without any unauthorized outside assistance‚ I answers all of the questions in this portfolio along with showcasing all my work‚ aided by the use of technology and patterns discovered by me. The symmetrical pattern provided possesses only 5 vertical rows‚ with number of elements
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Lacsap’s Fractions The aim if this IA is to investigate Lacsap’s Fractions and to come up with a general statement for finding the terms. When I noticed that Lacsap was Pascal spelt backwards I decided to look for a connection with Pascal’s triangle. Pascal’s triangle is used to show the numbers of ‘n’ choose ‘r’(nCr). The row number represents the value of ‘and the column number represents the ‘r’ value. Eg. Row 3‚ colomn 2 = 3C2 =
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Lesson Plan Grade Level Content Standard: Number Sense 2.1 Solve problems involving addition‚ subtraction‚ multiplication‚ and division of positive fractions and explain why a particular operation was used for a given situation. Standard Based Objective: When given division problems with fractions‚ students will use the rules for dividing fractions to solve problems with 80% accuracy as measure by student work samples by the end of the week. Materials Paper Pencils White Board Yellow and Pink
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we let x = the number of hours it takes them to paint the kitchen working together. Below is a table that relates the data from our problem. We are using the concept that (rate)(time) = fraction of the task done. Now we can write an equation to represent: Fraction of work done by Sue in x hours + Fraction of work done by Joe in x hours = 1 job completed For your initial response: Complete both parts. a) Solve the rational equation in the example above. Make sure you label your answer properly
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Lesson 3 Topic: Fractions Subtopic: Addition and Subtraction of Fractions Materials • A set of paper strips with words written on it • Fish bowl Objectives • To guess the word written on the paper strip • To practice patience and understanding to those who can not get the answer correctly Control of Error • Teacher Presentation • The teacher will introduce the activity and give the instruction on what to do. • She will ask for 5 pairs of volunteers from the class. One volunteer
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In Lacsap’s Fractions‚ when looking for a general pattern for the numerator‚ it can be noted that it does not increase linearly but exponentially. Numerators are 3‚6‚10‚ and 15‚ each preceding numerator added by one plus the row number. Using this general statement it can be concluded that the numerator in the 6th row is 21 (15+6)‚ and 28 for the 7th. Generating a Statement for the Numerator: To generate an equation for the numerator of the fraction‚ the fraction data must be organized and
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Exploration of Lacsap’s Fractions The following will be an investigation of Lacsap’s Fractions‚ that is‚ a set of numbers that are presented in a symmetrical pattern. It is an interesting point that ‘Lacsap’ is ‘Pascal’ backwards‚ which hints that the triangle below will be similar to “Pascal’s Triangle”. 1 1 1 1 1 1 1 1 1 1 There are many patterns evident in this triangle‚ for instance I can see
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