Toby baked some number of cakes. Sarin baked 24 more cakes than Toby. The ratio of Toby's cakes to Sarin's cakes is 3 to 5. We need to find the ratio of Toby's cakes to the total cakes baked by both Toby and Sarin.
This document provides information and examples about ratios, proportions, percents, rates, conversions, similar figures and scale, probability, and odds. It includes examples of converting between rates, fractions, decimals and percents. It also covers finding unit rates, proportions, scale drawings, probability, odds, and the differences between ratios, rates, and proportions.
This document contains materials for a mathematics lesson on ratios and proportions. It includes examples of writing ratios using fractions and colons, forming proportions, and finding missing terms in proportions. Activities guide students to form ratios, write proportions, solve word problems involving ratios, and evaluate their understanding through questions and applications using visual representations. Cooperative learning strategies and using various tools like charts and presentations are suggested for instruction.
This document discusses ratios, proportions, and different types of variation. It defines ratio, proportion, and direct, inverse, joint, and combined variation. It provides examples of writing equations to describe each type of variation relationship between quantities. The objectives are for students to understand these concepts and be able to identify the different types of variation, understand the difference between direct and inverse variation, and develop mathematical models using different variations.
This document defines ratio and proportion. A ratio compares parts to parts and is written with a colon, such as 1:2. A proportion compares a part to the whole and is written as a fraction, such as 1/3. An example is provided of using a ratio to solve a word problem about the number of new and old songs played on a radio show given the number of new songs.
This document discusses the structure of words in morphology. It defines words, morphemes, and different types of morphemes. There are free and bound morphemes. Lexical morphemes convey meaning while grammatical morphemes provide grammatical information. Derivational affixes create new words while inflectional affixes create word forms. Allomorphs are variant forms of morphemes. The structure of words can be analyzed down to the morpheme level. There is no definite longest word in English because new complex words can always be created by combining morphemes.
The document discusses ratios and proportions. It defines ratios as a comparison of two quantities that can be written as fractions using a colon or fraction form. It provides examples of setting up and solving ratios and proportions. Key points covered include: writing ratios in lowest terms, setting up cross multiplication to solve proportions, and using variables like n as unknowns to solve for in proportions.
Ratios and proportions can be used to compare quantities and solve problems involving relationships between quantities.
A ratio compares two numbers or quantities and can be written in several forms such as a:b. Ratios can be simplified by dividing both the numerator and denominator by their greatest common factor.
A proportion is an equation that equates two ratios, such as a/b = c/d, and satisfies the property that the product of the means equals the product of the extremes (ad = bc). Proportions can be solved using cross-multiplication or taking the reciprocal of one side.
Ratios and proportions can be applied to solve word problems involving distances, quantities, prices, and other real-world relationships.
Allomorphs are variations in pronunciation of a morpheme. For example, the plural morpheme -s is pronounced /s/ in "cats" but /z/ in "dogs". There are three main allomorphs of the English plural morpheme -s: /s/, /z/, and /ɪz/. Allomorphs can be additive, replacive, subtractive, suppletive, or zero allomorphs. Recognition activities help learners produce allomorphs correctly.
This document provides information and examples about ratios, proportions, percents, rates, conversions, similar figures and scale, probability, and odds. It includes examples of converting between rates, fractions, decimals and percents. It also covers finding unit rates, proportions, scale drawings, probability, odds, and the differences between ratios, rates, and proportions.
This document contains materials for a mathematics lesson on ratios and proportions. It includes examples of writing ratios using fractions and colons, forming proportions, and finding missing terms in proportions. Activities guide students to form ratios, write proportions, solve word problems involving ratios, and evaluate their understanding through questions and applications using visual representations. Cooperative learning strategies and using various tools like charts and presentations are suggested for instruction.
This document discusses ratios, proportions, and different types of variation. It defines ratio, proportion, and direct, inverse, joint, and combined variation. It provides examples of writing equations to describe each type of variation relationship between quantities. The objectives are for students to understand these concepts and be able to identify the different types of variation, understand the difference between direct and inverse variation, and develop mathematical models using different variations.
This document defines ratio and proportion. A ratio compares parts to parts and is written with a colon, such as 1:2. A proportion compares a part to the whole and is written as a fraction, such as 1/3. An example is provided of using a ratio to solve a word problem about the number of new and old songs played on a radio show given the number of new songs.
This document discusses the structure of words in morphology. It defines words, morphemes, and different types of morphemes. There are free and bound morphemes. Lexical morphemes convey meaning while grammatical morphemes provide grammatical information. Derivational affixes create new words while inflectional affixes create word forms. Allomorphs are variant forms of morphemes. The structure of words can be analyzed down to the morpheme level. There is no definite longest word in English because new complex words can always be created by combining morphemes.
The document discusses ratios and proportions. It defines ratios as a comparison of two quantities that can be written as fractions using a colon or fraction form. It provides examples of setting up and solving ratios and proportions. Key points covered include: writing ratios in lowest terms, setting up cross multiplication to solve proportions, and using variables like n as unknowns to solve for in proportions.
Ratios and proportions can be used to compare quantities and solve problems involving relationships between quantities.
A ratio compares two numbers or quantities and can be written in several forms such as a:b. Ratios can be simplified by dividing both the numerator and denominator by their greatest common factor.
A proportion is an equation that equates two ratios, such as a/b = c/d, and satisfies the property that the product of the means equals the product of the extremes (ad = bc). Proportions can be solved using cross-multiplication or taking the reciprocal of one side.
Ratios and proportions can be applied to solve word problems involving distances, quantities, prices, and other real-world relationships.
Allomorphs are variations in pronunciation of a morpheme. For example, the plural morpheme -s is pronounced /s/ in "cats" but /z/ in "dogs". There are three main allomorphs of the English plural morpheme -s: /s/, /z/, and /ɪz/. Allomorphs can be additive, replacive, subtractive, suppletive, or zero allomorphs. Recognition activities help learners produce allomorphs correctly.
The document discusses ratios, proportions, and solving ratio and proportion problems. It defines ratio as comparing amounts or parts and gives examples of ratios written in forms like 1:3. It explains direct proportion as having the same rate of increase or decrease. It provides examples of ratio and proportion word problems and steps to solve them, such as finding the number of nurses needed given a ratio of nurses to children or how many bowls of cereal can be made from a given amount of milk.
This document contains the objectives, subject matter, and procedures for a mathematics lesson on ratio and proportion for 6th grade students. The lesson objectives are for students to form ratios and proportions from groups of objects or numbers, use colons and fractions to write ratios and proportions, and find missing terms in proportions. The subject matter section defines ratios and proportions and provides examples. The procedures section includes a drill, review, motivation video, presentation using PowerPoint, discussion of key concepts, and evaluation questions for students to practice forming and solving proportions.
This document discusses morphological concepts including:
- Inflectional morphemes change grammatical categories like number or tense, while derivational morphemes can change word class.
- Affix order is important, with derivational suffixes coming before inflectional ones.
- Some words have irregular or unidentifiable elements like plural sheep or past tense went.
- Morphemes are realized through morphs, with allomorphs being variant forms of a single morpheme like plural -s, -z, or -es.
This document provides instruction on ratios, proportions, and solving proportions with variables. It begins with defining ratios as comparisons between two sets of numbers and provides examples of common ratios like miles per hour. It then discusses the different ways to write ratios, such as using "to", a colon, or as a fraction. The document also covers reducing ratios, determining if two ratios form a proportion by cross-multiplying, and using proportions to solve for unknown values. Examples are provided to demonstrate setting up and solving proportions step-by-step.
Morphology is the study of word structures and formation. Words are made up of smaller meaningful units called morphemes, which can be free or bound. Free morphemes can stand alone as words, while bound morphemes need to be attached to other morphemes. Words are formed through processes like prefixation, suffixation, compounding, conversion and others. Understanding morphemes and their combinations reveals the internal structures of words.
The document discusses different types of morphemes and their functions in English word formation. It defines morphemes as the minimal units of meaning that combine to form words. There are different types of morphemes including bound morphemes (prefixes, suffixes), free morphemes, root morphemes, derivational morphemes, and inflectional morphemes. The document also discusses how words are formed by combining morphemes and provides examples to illustrate the different types of morpheme combinations.
Morphology is the study of word structure and formation. It examines the smallest meaningful units of language called morphemes, which cannot be further broken down. Morphemes can be free-standing words or affixes bound to other morphemes. There are two types of morphology: inflectional and derivational. Inflectional morphology involves changing word endings to indicate things like number, tense, or comparison. Derivational morphology uses affixes to create new words that may be a different part of speech than the base word.
This document discusses allomorphs, which are different phonological forms of a single morpheme. It provides examples of morphemes with multiple allomorphs conditioned by their phonetic environment, such as the past tense morpheme {-d} having allomorphs /-d/, /-t/, /-əd/. The document also discusses types of allomorphs like additive, replacive, and suppletive allomorphs. Formulas are presented to represent morphemes and their allomorphs, noting tildes for phonological alternation and infinity signs for morphological alternation. Exercises are provided to have the reader identify allomorphs and explain their conditioning.
The document outlines a lesson plan on ratios and proportions in mathematics. The objectives are for students to define and identify ratios, solve proportions, and understand the real-life applications of ratios and proportions. The lesson plan details the teacher's activities such as reviewing concepts, presenting new material through examples, discussion, and practice problems. It also includes student activities like solving problems and group work. Key concepts covered are defining ratios as comparisons of quantities and proportions as equal ratios. Students learn to set up and solve ratios and proportions, including finding missing terms. The lesson emphasizes applying ratios and proportions to everyday situations like baking.
Morphology is the study of word structure and formation. It analyzes the morphemic structure of words. A morpheme is the smallest unit of meaning, and words can consist of free morphemes that can stand alone or bound morphemes that cannot. There are two main types of bound morphemes: derivational morphemes that change a word's meaning or class, and inflectional morphemes that change grammatical information without altering meaning. Words are formed through processes like affixation, compounding, reduplication, blending, and others. Understanding morphology helps with reading comprehension and vocabulary development.
Morphology is the study of word structure and formation. It involves breaking words down into smaller meaningful units called morphemes, which can be free or bound. Free morphemes can stand alone as words, while bound morphemes need to be attached to other morphemes to form words. There are several types of morphemes and word formation processes, including affixes, roots, stems, coinages, borrowing, calquing, and clipping. Morphological analysis involves identifying the morphemes within words.
Applied linguistics is the interdisciplinary study of language and its applications in real world contexts. It draws on linguistic theories and research to solve practical language-related problems. Key areas include second language acquisition, teaching methodology, testing, and the relationships between language and society, technology, and other fields. Throughout the 20th century, applied linguistics influenced the development of language teaching methods, shifting the focus from grammar translation to more communicative, meaning-based approaches grounded in theories of language acquisition and use.
The document discusses ratio, proportion, and scaled drawings. It begins by defining ratio as comparing two quantities through difference or division. It provides examples of using ratios to compare ages and weights. It then defines proportion as two ratios set equal to each other. Examples of direct and inverse proportions are given. Scaled drawings are defined as pictures made to represent real objects at a certain scale. Factors of enlargement and reduction in scaled drawings are also discussed.
ProSocial Behaviour - Applied Social Psychology - Psychology SuperNotesPsychoTech Services
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
Understanding of Self - Applied Social Psychology - Psychology SuperNotesPsychoTech Services
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
Aggression - Applied Social Psychology - Psychology SuperNotesPsychoTech Services
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
Covey says most people look for quick fixes. They see a big success and want to know how he did it, believing (and hoping) they can do the same following a quick bullet list.
But real change, the author says, comes not from the outside in, but from the inside out. And the most fundamental way of changing yourself is through a paradigm shift.
That paradigm shift is a new way of looking at the world. The 7 Habits of Highly Effective People presents an approach to effectiveness based on character and principles.
The first three habits indeed deal with yourself because it all starts with you. The first three habits move you from dependence from the world to the independence of making your own world.
Habits 4, 5 and 6 are about people and relationships. The will move you from independence to interdependence. Such, cooperating to achieve more than you could have by yourself.
The last habit, habit number 7, focuses on continuous growth and improvement.
The document discusses ratios, proportions, and solving ratio and proportion problems. It defines ratio as comparing amounts or parts and gives examples of ratios written in forms like 1:3. It explains direct proportion as having the same rate of increase or decrease. It provides examples of ratio and proportion word problems and steps to solve them, such as finding the number of nurses needed given a ratio of nurses to children or how many bowls of cereal can be made from a given amount of milk.
This document contains the objectives, subject matter, and procedures for a mathematics lesson on ratio and proportion for 6th grade students. The lesson objectives are for students to form ratios and proportions from groups of objects or numbers, use colons and fractions to write ratios and proportions, and find missing terms in proportions. The subject matter section defines ratios and proportions and provides examples. The procedures section includes a drill, review, motivation video, presentation using PowerPoint, discussion of key concepts, and evaluation questions for students to practice forming and solving proportions.
This document discusses morphological concepts including:
- Inflectional morphemes change grammatical categories like number or tense, while derivational morphemes can change word class.
- Affix order is important, with derivational suffixes coming before inflectional ones.
- Some words have irregular or unidentifiable elements like plural sheep or past tense went.
- Morphemes are realized through morphs, with allomorphs being variant forms of a single morpheme like plural -s, -z, or -es.
This document provides instruction on ratios, proportions, and solving proportions with variables. It begins with defining ratios as comparisons between two sets of numbers and provides examples of common ratios like miles per hour. It then discusses the different ways to write ratios, such as using "to", a colon, or as a fraction. The document also covers reducing ratios, determining if two ratios form a proportion by cross-multiplying, and using proportions to solve for unknown values. Examples are provided to demonstrate setting up and solving proportions step-by-step.
Morphology is the study of word structures and formation. Words are made up of smaller meaningful units called morphemes, which can be free or bound. Free morphemes can stand alone as words, while bound morphemes need to be attached to other morphemes. Words are formed through processes like prefixation, suffixation, compounding, conversion and others. Understanding morphemes and their combinations reveals the internal structures of words.
The document discusses different types of morphemes and their functions in English word formation. It defines morphemes as the minimal units of meaning that combine to form words. There are different types of morphemes including bound morphemes (prefixes, suffixes), free morphemes, root morphemes, derivational morphemes, and inflectional morphemes. The document also discusses how words are formed by combining morphemes and provides examples to illustrate the different types of morpheme combinations.
Morphology is the study of word structure and formation. It examines the smallest meaningful units of language called morphemes, which cannot be further broken down. Morphemes can be free-standing words or affixes bound to other morphemes. There are two types of morphology: inflectional and derivational. Inflectional morphology involves changing word endings to indicate things like number, tense, or comparison. Derivational morphology uses affixes to create new words that may be a different part of speech than the base word.
This document discusses allomorphs, which are different phonological forms of a single morpheme. It provides examples of morphemes with multiple allomorphs conditioned by their phonetic environment, such as the past tense morpheme {-d} having allomorphs /-d/, /-t/, /-əd/. The document also discusses types of allomorphs like additive, replacive, and suppletive allomorphs. Formulas are presented to represent morphemes and their allomorphs, noting tildes for phonological alternation and infinity signs for morphological alternation. Exercises are provided to have the reader identify allomorphs and explain their conditioning.
The document outlines a lesson plan on ratios and proportions in mathematics. The objectives are for students to define and identify ratios, solve proportions, and understand the real-life applications of ratios and proportions. The lesson plan details the teacher's activities such as reviewing concepts, presenting new material through examples, discussion, and practice problems. It also includes student activities like solving problems and group work. Key concepts covered are defining ratios as comparisons of quantities and proportions as equal ratios. Students learn to set up and solve ratios and proportions, including finding missing terms. The lesson emphasizes applying ratios and proportions to everyday situations like baking.
Morphology is the study of word structure and formation. It analyzes the morphemic structure of words. A morpheme is the smallest unit of meaning, and words can consist of free morphemes that can stand alone or bound morphemes that cannot. There are two main types of bound morphemes: derivational morphemes that change a word's meaning or class, and inflectional morphemes that change grammatical information without altering meaning. Words are formed through processes like affixation, compounding, reduplication, blending, and others. Understanding morphology helps with reading comprehension and vocabulary development.
Morphology is the study of word structure and formation. It involves breaking words down into smaller meaningful units called morphemes, which can be free or bound. Free morphemes can stand alone as words, while bound morphemes need to be attached to other morphemes to form words. There are several types of morphemes and word formation processes, including affixes, roots, stems, coinages, borrowing, calquing, and clipping. Morphological analysis involves identifying the morphemes within words.
Applied linguistics is the interdisciplinary study of language and its applications in real world contexts. It draws on linguistic theories and research to solve practical language-related problems. Key areas include second language acquisition, teaching methodology, testing, and the relationships between language and society, technology, and other fields. Throughout the 20th century, applied linguistics influenced the development of language teaching methods, shifting the focus from grammar translation to more communicative, meaning-based approaches grounded in theories of language acquisition and use.
The document discusses ratio, proportion, and scaled drawings. It begins by defining ratio as comparing two quantities through difference or division. It provides examples of using ratios to compare ages and weights. It then defines proportion as two ratios set equal to each other. Examples of direct and inverse proportions are given. Scaled drawings are defined as pictures made to represent real objects at a certain scale. Factors of enlargement and reduction in scaled drawings are also discussed.
ProSocial Behaviour - Applied Social Psychology - Psychology SuperNotesPsychoTech Services
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
Understanding of Self - Applied Social Psychology - Psychology SuperNotesPsychoTech Services
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
Aggression - Applied Social Psychology - Psychology SuperNotesPsychoTech Services
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
Covey says most people look for quick fixes. They see a big success and want to know how he did it, believing (and hoping) they can do the same following a quick bullet list.
But real change, the author says, comes not from the outside in, but from the inside out. And the most fundamental way of changing yourself is through a paradigm shift.
That paradigm shift is a new way of looking at the world. The 7 Habits of Highly Effective People presents an approach to effectiveness based on character and principles.
The first three habits indeed deal with yourself because it all starts with you. The first three habits move you from dependence from the world to the independence of making your own world.
Habits 4, 5 and 6 are about people and relationships. The will move you from independence to interdependence. Such, cooperating to achieve more than you could have by yourself.
The last habit, habit number 7, focuses on continuous growth and improvement.
1. Word Problem
3
The fraction of Toby’s cake to Sarin’s cake is 5 . If
Sarin bake 24 cakes more than Toby. Find the ratio
of Toby’s cake to the total cakes Sarin and Toby bake
altogether.