This document provides an overview and contents for a workbook on numbers and patterns for students. It includes 7 topics that cover numbers from 0 to 30, fractions, ordinal numbers, patterns, and number relationships. Each topic is broken down into lessons that include tasks for students to say, trace, count, draw, color, and more. The document also provides information on copyright, ownership, and permissions for use of the content.
The document is a table of contents for a mathematics textbook for third grade students in the Philippines. It lists 46 lessons on topics like multiplication, division, properties of operations, and solving word problems involving these operations. The document also provides information about copyright and permissions for using materials in the book. It was developed by the Department of Education of the Republic of the Philippines.
Here are the steps to arrange the fractions in increasing order:
1) 1/2
2) 1/3
3) 1/4
4) 1/5
5) 1/6
And in decreasing order:
1) 7/7
2) 4/7
3) 3/7
4) 2/7
5) 1/7
K TO 12 GRADE 5 LEARNER’S MATERIAL IN MATHEMATICS (Q1-Q4)LiGhT ArOhL
The problem involves splitting 60 students into groups with equal numbers in each group. To solve this, the factors of 60 are found: 4x15, 2x2x3x5. The multiples of these factors are then determined up to 60 to identify the possible numbers of groups. The number of ways to form the groups is equal to the number of factors.
This document provides an introduction to fractions including:
1. It asks the reader to complete a grid and explain why different fraction representations are equivalent.
2. It prompts the reader to create more fraction patterns and identify the fractions represented in each pattern.
3. It includes exercises to shade in equivalent fractions and notices that they represent the same amount shaded.
K to 12 math complete objectives and subject matterAlcaide Gombio
This document outlines the curriculum guide for Grade 3 mathematics. It includes 54 lessons organized across 4 grading periods. The lessons cover number sense, operations, measurement, geometry, data analysis, and probability topics. Key concepts include place value, addition, subtraction, multiplication, division, fractions, time, length, area, and likelihood of events. The curriculum aims to help learners develop number sense and problem solving skills through visualizing mathematical concepts and solving routine and non-routine problems.
1) The document describes a math test paper for Primary 4 students modeled after past exams from top schools. It provides word problems, solutions, and details the difficulty levels of exams.
2) Mock exams are based on the latest PSLE format covering topics from past PSLE papers of top schools. Detailed step-by-step solutions using diagrams are provided for each question.
3) Papers are ranked by difficulty from AAA to BBB- with the degree of difficulty being the same as top school exams. Teachers may use or modify the question banks with permission.
1) The document contains a sample paper for a P4 math exam with 4 word problems and their step-by-step solutions.
2) The problems cover topics like whole numbers, measurements, money, and ratios.
3) Detailed workings and explanations are shown for finding things like greater numbers, costs of items, amounts of money received, and differences in prices.
The document discusses various math and logic problems and their solutions. It includes word problems involving speed, percentages, ratios, mixtures, profit/loss calculations, and puzzles involving deductive reasoning. The last section presents a logic puzzle involving the ages of three brothers where the key information is the product of their ages and that one brother is younger than a neighbor's daughter.
The document is a table of contents for a mathematics textbook for third grade students in the Philippines. It lists 46 lessons on topics like multiplication, division, properties of operations, and solving word problems involving these operations. The document also provides information about copyright and permissions for using materials in the book. It was developed by the Department of Education of the Republic of the Philippines.
Here are the steps to arrange the fractions in increasing order:
1) 1/2
2) 1/3
3) 1/4
4) 1/5
5) 1/6
And in decreasing order:
1) 7/7
2) 4/7
3) 3/7
4) 2/7
5) 1/7
K TO 12 GRADE 5 LEARNER’S MATERIAL IN MATHEMATICS (Q1-Q4)LiGhT ArOhL
The problem involves splitting 60 students into groups with equal numbers in each group. To solve this, the factors of 60 are found: 4x15, 2x2x3x5. The multiples of these factors are then determined up to 60 to identify the possible numbers of groups. The number of ways to form the groups is equal to the number of factors.
This document provides an introduction to fractions including:
1. It asks the reader to complete a grid and explain why different fraction representations are equivalent.
2. It prompts the reader to create more fraction patterns and identify the fractions represented in each pattern.
3. It includes exercises to shade in equivalent fractions and notices that they represent the same amount shaded.
K to 12 math complete objectives and subject matterAlcaide Gombio
This document outlines the curriculum guide for Grade 3 mathematics. It includes 54 lessons organized across 4 grading periods. The lessons cover number sense, operations, measurement, geometry, data analysis, and probability topics. Key concepts include place value, addition, subtraction, multiplication, division, fractions, time, length, area, and likelihood of events. The curriculum aims to help learners develop number sense and problem solving skills through visualizing mathematical concepts and solving routine and non-routine problems.
1) The document describes a math test paper for Primary 4 students modeled after past exams from top schools. It provides word problems, solutions, and details the difficulty levels of exams.
2) Mock exams are based on the latest PSLE format covering topics from past PSLE papers of top schools. Detailed step-by-step solutions using diagrams are provided for each question.
3) Papers are ranked by difficulty from AAA to BBB- with the degree of difficulty being the same as top school exams. Teachers may use or modify the question banks with permission.
1) The document contains a sample paper for a P4 math exam with 4 word problems and their step-by-step solutions.
2) The problems cover topics like whole numbers, measurements, money, and ratios.
3) Detailed workings and explanations are shown for finding things like greater numbers, costs of items, amounts of money received, and differences in prices.
The document discusses various math and logic problems and their solutions. It includes word problems involving speed, percentages, ratios, mixtures, profit/loss calculations, and puzzles involving deductive reasoning. The last section presents a logic puzzle involving the ages of three brothers where the key information is the product of their ages and that one brother is younger than a neighbor's daughter.
The document is a 15-page mathematics exam for Primary 5 students in Methodist Girls' School consisting of multiple choice and written response questions testing concepts like fractions, ratios, percentages, geometry, word problems, and more. It includes instructions to candidates, questions ranging from 1 to 5 marks, and spaces to show working and write answers. The exam covers topics commonly found in Primary 5 mathematics curricula.
This document contains an overview of Chapter 10 from a geometry textbook. It covers the following topics across 10 lessons: solid figures, plane figures, problem-solving strategies like looking for patterns, lines/segments/rays, angles, and problem-solving investigations. The chapter introduces key concepts, provides examples, and aligns topics to state math standards. It aims to teach students to identify, describe, classify and solve problems involving various geometric shapes and their properties.
This document provides an overview of mathematics concepts and skills for grade 3 teachers. It covers understanding numbers, addition, subtraction, multiplication, and calendars. Some key points:
- Section I covers place value, writing numbers, comparing numbers, and basic operations including addition, subtraction, and multiplication word problems.
- Section II covers additional concepts like place value, addition, subtraction, and using calendars including finding dates, days of the week, and performing basic operations with dates.
- Section III focuses more on multiplication, including multiplication tables, multi-step word problems, and explaining how entries in the multiplication table are obtained.
The document is a comprehensive guide to core third grade math topics to help teachers understand the
This document provides lessons for teaching students to visualize and understand numbers up to 10,000. It includes activities that use objects like blocks, flats, longs and squares to represent numbers. Students practice forming and comparing numbers. They learn that larger numbers can be represented by "bundled straws" of 10,000, 1,000, 100 and 10 units. The lessons aim to build students' skills in determining the place value and value of digits in 4-digit numbers.
This document is an excerpt from a book titled "Primary 4 Mathematics Ace the Exam with My 24/7 Personal Tutor" which contains 10 practice exam papers for the Primary 4 mathematics exam in Singapore. It includes detailed explanations for all questions provided on a multimedia CD by a tutor. The book and online resources are aimed at helping students prepare for their Primary 4 mathematics exams.
Lesson guide gr. 3 chapter ii -rational numbers, fractions v1.0EDITHA HONRADEZ
Here are the steps to compare fractions less than one:
1) 4/5
2) 3/4
To compare these fractions:
- Look at the numerators and denominators
- 4/5 is greater than 3/4 because 4/5 of the whole is a larger part than 3/4 of the whole
So the relationship is:
4/5 > 3/4
B. Pair Square
1. Compare the following fractions:
a) 1/3 and 2/4
b) 3/5 and 4/6
To compare:
a) 1/3 < 2/4 because 1/3 of the whole is a smaller part than 2/4 of the whole
This document provides examples and explanations for adding and subtracting fractions on a number line. It includes examples of summing fractions with different denominators, adding mixed numbers using shapes and shading, and subtracting one fraction from another. Students are instructed to complete subtraction of fractions problems on a worksheet for homework.
The document provides information on the mathematics curriculum for grades 1-6 in the Philippines. It covers topics like:
- Whole numbers, addition, subtraction, fractions, measurement, and basic algebra for grades 1-2.
- The four fundamental operations, fractions, decimals, money, angles, measurement, and graphs for grades 3-4.
- Mastering the four operations, decimals, fractions, ratios, percentages, integers, probability, polygons, and more advanced concepts for grades 5-6.
It also outlines the learning expectations and time allotment for mathematics at each grade level.
The daily lesson plan outlines mathematics lessons for the week focusing on fractions. On Monday, students will add similar fractions in simple or mixed forms with regrouping. On Tuesday, they will subtract similar fractions in simple or mixed forms with regrouping. Throughout the week, students will learn to add and subtract different types of fractions with and without regrouping through activities using paper strips, worksheets, and group work. The lessons aim to help students understand and apply the four fundamental operations of fractions.
The document describes an afterschool program called Management Aptitude Test Afterschool that develops social entrepreneurs. It is a 3-year integrated program that can be done online or in-person. The program aims to promote entrepreneurship and social development. Past participants now support the program. It also includes sample math and reasoning questions.
The document is a detailed lesson plan for a mathematics class on permutation. It outlines the objectives, content, materials, and procedures for the lesson. The lesson will teach students about permutation rules including n!, nPr, and arrangements of distinct objects. Example problems are provided to demonstrate each rule, and students will complete activities in groups to practice the rules and verify their understanding.
This document contains a teacher's notes for class periods and subjects. It lists students' names for different class periods and subjects covered, including verb conjugation in French, months of the year, seasons, and weather. It also includes slides on holidays in different countries, calendars, and stimulus questions for a listening activity on travel.
This document provides lessons on converting units of measurement, including time, length, mass, and capacity. It contains examples of converting between seconds, minutes, hours, days, weeks, months, and years. It also has practice problems for students to convert between common units of linear measure (meters, centimeters), mass (kilograms, grams), and capacity (liters, milliliters). The document aims to help students learn how to convert between different units of measurement through examples and word problems.
1. This document contains a quiz reviewing ratios and proportional relationships. It includes questions about writing ratios, representing ratios with tape diagrams, determining if ratios are equivalent, and solving ratio problems.
2. One question asks students to determine if a ratio of 5 paintbrushes to 1 color of paint is true. Students are asked to defend or dispute the answer, with the correct response being that the ratio should be 1 paintbrush for every 5 colors of paint.
3. Another question asks students to calculate the number of cups sold at a frozen yogurt shop on a Saturday if the ratio of cones to cups was 6:5 and 42 cones were sold. The answer is that 35 cups were sold.
This document provides a lesson on finding missing numbers in mathematical equations. It discusses different properties of operations like the commutative, associative, distributive, and identity properties. Examples of equations are provided and students are asked to determine the missing numbers by identifying which property is being used. Practice problems are included for students to solve. The goal is for students to understand how to use properties of operations to determine missing numbers in equations.
The document provides information and exercises about writing summaries for IELTS exams. It discusses summarizing graphs, tables, charts and diagrams, with at least 150 words in 20 minutes. Exercises include matching data visualization types to their names, writing introductory sentences for different visuals, answering questions about a chart, identifying paragraphs that answer specific questions, and correcting common mistakes in summarizing percentages and comparisons. The purpose is to practice key skills for the IELTS writing task of summarizing information from visuals and making relevant comparisons.
This document contains a series of math worksheets for grade 1 students. The worksheets cover topics such as writing numerals, counting objects, ordinal numbers, fractions, addition, subtraction, place value, measurement, and skip counting. Each worksheet provides examples and practice problems for students to trace, write, count, compare, add, subtract, and solve. The worksheets are designed to help students learn foundational math concepts and skills in an engaging way through tracing, drawing, matching, bubbling, coloring and other hands-on activities.
This document provides instructional activities for teaching students to convert between fractions and decimals. It begins by emphasizing the importance of using proper terminology when reading fractions and decimals aloud. Several hands-on activities are then described to help students understand place value and see the relationship between fractions and their decimal equivalents using base ten blocks, hundredths grids, and number lines. Formative assessments are also suggested to check students' understanding.
This document outlines math lessons on multiplication and division using units of 4. It includes exercises for students to practice multiplying by 4, counting by numbers, and reading tape diagrams. Students work on application problems such as representing a seating chart as an array. The main lesson teaches students to decompose larger multiplication facts into the sum of smaller facts using a pattern of 5 groups and additional groups, such as writing 8 x 4 as (5 x 4) + (3 x 4). Students represent the decompositions using arrays, number bonds and equations.
The document summarizes key concepts from a 5th grade math unit on number theory, including:
- Identifying even and odd numbers and using arrays to represent multiplication
- Using divisibility tests to determine if a number is divisible by another
- Finding all the factors of a given number and identifying prime and composite numbers
- Writing numbers in exponential notation and relating square numbers to their square roots
This document provides materials for a 4th grade mathematics unit. It includes lessons, activities, practice problems and games related to fractions, data analysis, geometry, measurement, number sense, and problem solving. Some key lessons include dividing objects into halves or other fractions, collecting and graphing data, solving word problems, and playing numerical games like a dice game called "Corn Shucks." The document offers guidance for teachers on discussing concepts and assessing student understanding.
The document is a 15-page mathematics exam for Primary 5 students in Methodist Girls' School consisting of multiple choice and written response questions testing concepts like fractions, ratios, percentages, geometry, word problems, and more. It includes instructions to candidates, questions ranging from 1 to 5 marks, and spaces to show working and write answers. The exam covers topics commonly found in Primary 5 mathematics curricula.
This document contains an overview of Chapter 10 from a geometry textbook. It covers the following topics across 10 lessons: solid figures, plane figures, problem-solving strategies like looking for patterns, lines/segments/rays, angles, and problem-solving investigations. The chapter introduces key concepts, provides examples, and aligns topics to state math standards. It aims to teach students to identify, describe, classify and solve problems involving various geometric shapes and their properties.
This document provides an overview of mathematics concepts and skills for grade 3 teachers. It covers understanding numbers, addition, subtraction, multiplication, and calendars. Some key points:
- Section I covers place value, writing numbers, comparing numbers, and basic operations including addition, subtraction, and multiplication word problems.
- Section II covers additional concepts like place value, addition, subtraction, and using calendars including finding dates, days of the week, and performing basic operations with dates.
- Section III focuses more on multiplication, including multiplication tables, multi-step word problems, and explaining how entries in the multiplication table are obtained.
The document is a comprehensive guide to core third grade math topics to help teachers understand the
This document provides lessons for teaching students to visualize and understand numbers up to 10,000. It includes activities that use objects like blocks, flats, longs and squares to represent numbers. Students practice forming and comparing numbers. They learn that larger numbers can be represented by "bundled straws" of 10,000, 1,000, 100 and 10 units. The lessons aim to build students' skills in determining the place value and value of digits in 4-digit numbers.
This document is an excerpt from a book titled "Primary 4 Mathematics Ace the Exam with My 24/7 Personal Tutor" which contains 10 practice exam papers for the Primary 4 mathematics exam in Singapore. It includes detailed explanations for all questions provided on a multimedia CD by a tutor. The book and online resources are aimed at helping students prepare for their Primary 4 mathematics exams.
Lesson guide gr. 3 chapter ii -rational numbers, fractions v1.0EDITHA HONRADEZ
Here are the steps to compare fractions less than one:
1) 4/5
2) 3/4
To compare these fractions:
- Look at the numerators and denominators
- 4/5 is greater than 3/4 because 4/5 of the whole is a larger part than 3/4 of the whole
So the relationship is:
4/5 > 3/4
B. Pair Square
1. Compare the following fractions:
a) 1/3 and 2/4
b) 3/5 and 4/6
To compare:
a) 1/3 < 2/4 because 1/3 of the whole is a smaller part than 2/4 of the whole
This document provides examples and explanations for adding and subtracting fractions on a number line. It includes examples of summing fractions with different denominators, adding mixed numbers using shapes and shading, and subtracting one fraction from another. Students are instructed to complete subtraction of fractions problems on a worksheet for homework.
The document provides information on the mathematics curriculum for grades 1-6 in the Philippines. It covers topics like:
- Whole numbers, addition, subtraction, fractions, measurement, and basic algebra for grades 1-2.
- The four fundamental operations, fractions, decimals, money, angles, measurement, and graphs for grades 3-4.
- Mastering the four operations, decimals, fractions, ratios, percentages, integers, probability, polygons, and more advanced concepts for grades 5-6.
It also outlines the learning expectations and time allotment for mathematics at each grade level.
The daily lesson plan outlines mathematics lessons for the week focusing on fractions. On Monday, students will add similar fractions in simple or mixed forms with regrouping. On Tuesday, they will subtract similar fractions in simple or mixed forms with regrouping. Throughout the week, students will learn to add and subtract different types of fractions with and without regrouping through activities using paper strips, worksheets, and group work. The lessons aim to help students understand and apply the four fundamental operations of fractions.
The document describes an afterschool program called Management Aptitude Test Afterschool that develops social entrepreneurs. It is a 3-year integrated program that can be done online or in-person. The program aims to promote entrepreneurship and social development. Past participants now support the program. It also includes sample math and reasoning questions.
The document is a detailed lesson plan for a mathematics class on permutation. It outlines the objectives, content, materials, and procedures for the lesson. The lesson will teach students about permutation rules including n!, nPr, and arrangements of distinct objects. Example problems are provided to demonstrate each rule, and students will complete activities in groups to practice the rules and verify their understanding.
This document contains a teacher's notes for class periods and subjects. It lists students' names for different class periods and subjects covered, including verb conjugation in French, months of the year, seasons, and weather. It also includes slides on holidays in different countries, calendars, and stimulus questions for a listening activity on travel.
This document provides lessons on converting units of measurement, including time, length, mass, and capacity. It contains examples of converting between seconds, minutes, hours, days, weeks, months, and years. It also has practice problems for students to convert between common units of linear measure (meters, centimeters), mass (kilograms, grams), and capacity (liters, milliliters). The document aims to help students learn how to convert between different units of measurement through examples and word problems.
1. This document contains a quiz reviewing ratios and proportional relationships. It includes questions about writing ratios, representing ratios with tape diagrams, determining if ratios are equivalent, and solving ratio problems.
2. One question asks students to determine if a ratio of 5 paintbrushes to 1 color of paint is true. Students are asked to defend or dispute the answer, with the correct response being that the ratio should be 1 paintbrush for every 5 colors of paint.
3. Another question asks students to calculate the number of cups sold at a frozen yogurt shop on a Saturday if the ratio of cones to cups was 6:5 and 42 cones were sold. The answer is that 35 cups were sold.
This document provides a lesson on finding missing numbers in mathematical equations. It discusses different properties of operations like the commutative, associative, distributive, and identity properties. Examples of equations are provided and students are asked to determine the missing numbers by identifying which property is being used. Practice problems are included for students to solve. The goal is for students to understand how to use properties of operations to determine missing numbers in equations.
The document provides information and exercises about writing summaries for IELTS exams. It discusses summarizing graphs, tables, charts and diagrams, with at least 150 words in 20 minutes. Exercises include matching data visualization types to their names, writing introductory sentences for different visuals, answering questions about a chart, identifying paragraphs that answer specific questions, and correcting common mistakes in summarizing percentages and comparisons. The purpose is to practice key skills for the IELTS writing task of summarizing information from visuals and making relevant comparisons.
This document contains a series of math worksheets for grade 1 students. The worksheets cover topics such as writing numerals, counting objects, ordinal numbers, fractions, addition, subtraction, place value, measurement, and skip counting. Each worksheet provides examples and practice problems for students to trace, write, count, compare, add, subtract, and solve. The worksheets are designed to help students learn foundational math concepts and skills in an engaging way through tracing, drawing, matching, bubbling, coloring and other hands-on activities.
This document provides instructional activities for teaching students to convert between fractions and decimals. It begins by emphasizing the importance of using proper terminology when reading fractions and decimals aloud. Several hands-on activities are then described to help students understand place value and see the relationship between fractions and their decimal equivalents using base ten blocks, hundredths grids, and number lines. Formative assessments are also suggested to check students' understanding.
This document outlines math lessons on multiplication and division using units of 4. It includes exercises for students to practice multiplying by 4, counting by numbers, and reading tape diagrams. Students work on application problems such as representing a seating chart as an array. The main lesson teaches students to decompose larger multiplication facts into the sum of smaller facts using a pattern of 5 groups and additional groups, such as writing 8 x 4 as (5 x 4) + (3 x 4). Students represent the decompositions using arrays, number bonds and equations.
The document summarizes key concepts from a 5th grade math unit on number theory, including:
- Identifying even and odd numbers and using arrays to represent multiplication
- Using divisibility tests to determine if a number is divisible by another
- Finding all the factors of a given number and identifying prime and composite numbers
- Writing numbers in exponential notation and relating square numbers to their square roots
This document provides materials for a 4th grade mathematics unit. It includes lessons, activities, practice problems and games related to fractions, data analysis, geometry, measurement, number sense, and problem solving. Some key lessons include dividing objects into halves or other fractions, collecting and graphing data, solving word problems, and playing numerical games like a dice game called "Corn Shucks." The document offers guidance for teachers on discussing concepts and assessing student understanding.
This document is a PowerPoint presentation about fractions for 8th grade students. It contains definitions of key fraction terms like numerator, denominator, improper fractions, and mixed numbers. It explains how to add, subtract, multiply, and divide fractions, including using common denominators for addition and subtraction of unlike fractions. It also discusses equivalent fractions and how to determine if two fractions are equivalent using scale factors or cross-multiplication. The learning objectives are for students to understand fraction operations and how to find equivalent fractions.
This document provides an overview of assignments and activities for a math and science course for young children. It includes details on assignments due for different classes, as well as descriptions of in-class activities focused on fractions, numbers and place value, geometry, and more. Students are asked to create an original activity integrating math and science concepts for children and present it to the class.
This document describes a mathematics lesson that teaches students to use the area model and division to show the equivalence of two fractions. It includes fluency practice with counting by equivalent fractions, finding equivalent fractions, and drawing equivalent fractions. An application problem has students express a fraction of a dollar amount in fourths. During concept development, students simplify fractions by drawing area models to find common factors and relate this to division. They express equivalent fractions as division number sentences.
This document outlines algebra and pattern skills for years 5 and 6. For year 5, it includes describing patterns using words, numbers and symbols, continuing patterns for at least 5 steps, and finding unknown quantities in multiplication and division number sentences. For year 6, it adds describing patterns using rules, using order of operations to solve number sentences, and writing number sentences that apply order of operations rules. It provides examples of patterns using fractions, decimals, whole numbers and shapes, as well as solving equations and finding quotients.
MATHEMATICS 4 - PRIME AND COMPOSITE NUMBERS.pdfJay Cris Miguel
1) The document is a mathematics lesson plan for 4th grade students on prime and composite numbers. It includes activities where students identify missing numbers in sequences, factors of numbers, and the prime/composite classification of different numbers.
2) One activity involves students arranging cards in rows to understand factors and multiples. Another activity has students identifying the number of animals (cats, dogs, etc.) in pictures.
3) The lesson defines key terms like factors, multiples, prime and composite numbers and has students practice applying these concepts through worksheets, group activities and story problems.
1) Students will collect data on favorite fast foods in their class and grade to create bar graphs. They will write a report sharing their findings.
2) Fraction concepts are explored through examples of parts of wholes, such as one-third and two-sixths being equivalent.
3) A problem solving activity involves arranging digits 1-9 in groups so the sum is the same in each group, with discussion of multiple solutions.
This document contains materials from mathematics intervention camps focusing on multiplication and division facts from 0 to 10. It includes fill-in-the-blank questions to practice these facts, as well as word scrambles and flashcard exercises. The purpose is to build fluency with basic multiplication and division. Worksheets provide additional practice finding products and quotients, and filling grids with numbers that satisfy given conditions. An activity challenges completing as many multiplication problems as possible in 4 minutes. The document aims to strengthen foundational math skills through repetition and varied practice formats.
STI Course A Closer Look at Singapore Math by Yeap Ban HarJimmy Keng
This weekend course conducted at Scarsdale Teachers Institute, New York focused on the use of anchor problem to enhance the teaching and learning of mathematics.
This document provides an overview of a math lesson on fractions and the number line. The lesson includes fluency practice with skip counting by 3s and 6s and multiplication. Students will partition paper strips into equal parts to represent fractions like halves, fourths, and eighths. They will identify and count unit fractions. The lesson concludes with a problem set, student debrief, and exit ticket to assess understanding of representing fractions as equal parts of a whole.
This chapter introduces integers and their operations. Students will learn to use negative numbers, draw integers on a number line, compare integers, and order integers in sequences. Key terms include integers, positive integers, negative integers, and number line. The chapter discusses representing temperatures below zero as negative numbers, finding opposites on the number line, and using properties like commutativity and associativity to simplify integer calculations mentally.
This document contains tutorials and quizzes on math topics including geometry and fractions. The geometry section includes lessons on polygons, angles, and geometric figures. It covers topics like the number of sides in different polygons and identifying angle types. The fractions section covers reading and comparing fractions, equivalent fractions, mixed numbers, and operations like addition and subtraction. It provides examples and explanations of fraction concepts.
This document provides an overview of Number Talks, which are short classroom discussions about computation problems that are solved mentally. The goals of Number Talks are to develop number sense, fluency with small numbers, subitizing, and making tens. Key components discussed include the classroom environment, the teacher's role in facilitating discussion, and using purposeful computation problems that elicit specific strategies focusing on number relationships. Sample Number Talk problems and strategies are provided for different grade levels, including kindergarten, first grade, second grade, third grade, and fourth grade.
This document provides information about a mathematics module on triangles and quadrilaterals for 4th grade students. It includes details about the module such as the title, writers, editors, and management team. It also contains introductory messages about the purpose of the self-learning module and how it is organized. The first lesson defines triangles and quadrilaterals and their attributes, and provides activities to identify different polygons. The second lesson classifies triangles according to their sides and angles, describing equilateral, isosceles, scalene, and right triangles.
ESL Worksheets and Activities for Kids by Pitts Miryung. (z-lib.org).pdfMariGiopato
This document provides instructions and worksheets for ESL students on various topics including shapes, numbers, family, time, months, days, weather, prepositions, money, and animals. There are 3-4 worksheets for each topic area with exercises for students to practice relevant vocabulary, spelling, writing sentences, and more. Examples of activities include labeling family trees, writing the days of the week, describing weather, and matching pictures to prepositions. Cut-out activities and mini-books are also included.
Esl worksheets and activities for kids by pitts miryung. (z lib.org)MariGiopato
This document provides instructions and worksheets for ESL students on various topics including shapes, numbers, family, time, months, days, weather, prepositions, money, and animals. There are 3-4 worksheets for each topic area with exercises for students to practice relevant vocabulary, spelling, writing sentences, and more. Examples of activities include labeling family trees, writing the days of the week, describing weather, and matching pictures to prepositions. Cut-out activities and a mini-book template are also included at the back for additional interactive exercises.
This document provides a daily lesson log for a 7th grade mathematics class covering operations on integers. The lesson covers addition, subtraction, multiplication, and division of integers over four sessions. Each session includes objectives, content, learning resources, procedures, and an evaluation. The procedures describe activities to motivate students, present examples, discuss concepts, and apply the skills to word problems. The goal is for students to understand and be able to perform the four fundamental operations on integers.
ESR spectroscopy in liquid food and beverages.pptxPRIYANKA PATEL
With increasing population, people need to rely on packaged food stuffs. Packaging of food materials requires the preservation of food. There are various methods for the treatment of food to preserve them and irradiation treatment of food is one of them. It is the most common and the most harmless method for the food preservation as it does not alter the necessary micronutrients of food materials. Although irradiated food doesn’t cause any harm to the human health but still the quality assessment of food is required to provide consumers with necessary information about the food. ESR spectroscopy is the most sophisticated way to investigate the quality of the food and the free radicals induced during the processing of the food. ESR spin trapping technique is useful for the detection of highly unstable radicals in the food. The antioxidant capability of liquid food and beverages in mainly performed by spin trapping technique.
What is greenhouse gasses and how many gasses are there to affect the Earth.moosaasad1975
What are greenhouse gasses how they affect the earth and its environment what is the future of the environment and earth how the weather and the climate effects.
When I was asked to give a companion lecture in support of ‘The Philosophy of Science’ (https://shorturl.at/4pUXz) I decided not to walk through the detail of the many methodologies in order of use. Instead, I chose to employ a long standing, and ongoing, scientific development as an exemplar. And so, I chose the ever evolving story of Thermodynamics as a scientific investigation at its best.
Conducted over a period of >200 years, Thermodynamics R&D, and application, benefitted from the highest levels of professionalism, collaboration, and technical thoroughness. New layers of application, methodology, and practice were made possible by the progressive advance of technology. In turn, this has seen measurement and modelling accuracy continually improved at a micro and macro level.
Perhaps most importantly, Thermodynamics rapidly became a primary tool in the advance of applied science/engineering/technology, spanning micro-tech, to aerospace and cosmology. I can think of no better a story to illustrate the breadth of scientific methodologies and applications at their best.
EWOCS-I: The catalog of X-ray sources in Westerlund 1 from the Extended Weste...Sérgio Sacani
Context. With a mass exceeding several 104 M⊙ and a rich and dense population of massive stars, supermassive young star clusters
represent the most massive star-forming environment that is dominated by the feedback from massive stars and gravitational interactions
among stars.
Aims. In this paper we present the Extended Westerlund 1 and 2 Open Clusters Survey (EWOCS) project, which aims to investigate
the influence of the starburst environment on the formation of stars and planets, and on the evolution of both low and high mass stars.
The primary targets of this project are Westerlund 1 and 2, the closest supermassive star clusters to the Sun.
Methods. The project is based primarily on recent observations conducted with the Chandra and JWST observatories. Specifically,
the Chandra survey of Westerlund 1 consists of 36 new ACIS-I observations, nearly co-pointed, for a total exposure time of 1 Msec.
Additionally, we included 8 archival Chandra/ACIS-S observations. This paper presents the resulting catalog of X-ray sources within
and around Westerlund 1. Sources were detected by combining various existing methods, and photon extraction and source validation
were carried out using the ACIS-Extract software.
Results. The EWOCS X-ray catalog comprises 5963 validated sources out of the 9420 initially provided to ACIS-Extract, reaching a
photon flux threshold of approximately 2 × 10−8 photons cm−2
s
−1
. The X-ray sources exhibit a highly concentrated spatial distribution,
with 1075 sources located within the central 1 arcmin. We have successfully detected X-ray emissions from 126 out of the 166 known
massive stars of the cluster, and we have collected over 71 000 photons from the magnetar CXO J164710.20-455217.
Comparing Evolved Extractive Text Summary Scores of Bidirectional Encoder Rep...University of Maribor
Slides from:
11th International Conference on Electrical, Electronics and Computer Engineering (IcETRAN), Niš, 3-6 June 2024
Track: Artificial Intelligence
https://www.etran.rs/2024/en/home-english/
hematic appreciation test is a psychological assessment tool used to measure an individual's appreciation and understanding of specific themes or topics. This test helps to evaluate an individual's ability to connect different ideas and concepts within a given theme, as well as their overall comprehension and interpretation skills. The results of the test can provide valuable insights into an individual's cognitive abilities, creativity, and critical thinking skills
BREEDING METHODS FOR DISEASE RESISTANCE.pptxRASHMI M G
Plant breeding for disease resistance is a strategy to reduce crop losses caused by disease. Plants have an innate immune system that allows them to recognize pathogens and provide resistance. However, breeding for long-lasting resistance often involves combining multiple resistance genes
The use of Nauplii and metanauplii artemia in aquaculture (brine shrimp).pptxMAGOTI ERNEST
Although Artemia has been known to man for centuries, its use as a food for the culture of larval organisms apparently began only in the 1930s, when several investigators found that it made an excellent food for newly hatched fish larvae (Litvinenko et al., 2023). As aquaculture developed in the 1960s and ‘70s, the use of Artemia also became more widespread, due both to its convenience and to its nutritional value for larval organisms (Arenas-Pardo et al., 2024). The fact that Artemia dormant cysts can be stored for long periods in cans, and then used as an off-the-shelf food requiring only 24 h of incubation makes them the most convenient, least labor-intensive, live food available for aquaculture (Sorgeloos & Roubach, 2021). The nutritional value of Artemia, especially for marine organisms, is not constant, but varies both geographically and temporally. During the last decade, however, both the causes of Artemia nutritional variability and methods to improve poorquality Artemia have been identified (Loufi et al., 2024).
Brine shrimp (Artemia spp.) are used in marine aquaculture worldwide. Annually, more than 2,000 metric tons of dry cysts are used for cultivation of fish, crustacean, and shellfish larva. Brine shrimp are important to aquaculture because newly hatched brine shrimp nauplii (larvae) provide a food source for many fish fry (Mozanzadeh et al., 2021). Culture and harvesting of brine shrimp eggs represents another aspect of the aquaculture industry. Nauplii and metanauplii of Artemia, commonly known as brine shrimp, play a crucial role in aquaculture due to their nutritional value and suitability as live feed for many aquatic species, particularly in larval stages (Sorgeloos & Roubach, 2021).
The ability to recreate computational results with minimal effort and actionable metrics provides a solid foundation for scientific research and software development. When people can replicate an analysis at the touch of a button using open-source software, open data, and methods to assess and compare proposals, it significantly eases verification of results, engagement with a diverse range of contributors, and progress. However, we have yet to fully achieve this; there are still many sociotechnical frictions.
Inspired by David Donoho's vision, this talk aims to revisit the three crucial pillars of frictionless reproducibility (data sharing, code sharing, and competitive challenges) with the perspective of deep software variability.
Our observation is that multiple layers — hardware, operating systems, third-party libraries, software versions, input data, compile-time options, and parameters — are subject to variability that exacerbates frictions but is also essential for achieving robust, generalizable results and fostering innovation. I will first review the literature, providing evidence of how the complex variability interactions across these layers affect qualitative and quantitative software properties, thereby complicating the reproduction and replication of scientific studies in various fields.
I will then present some software engineering and AI techniques that can support the strategic exploration of variability spaces. These include the use of abstractions and models (e.g., feature models), sampling strategies (e.g., uniform, random), cost-effective measurements (e.g., incremental build of software configurations), and dimensionality reduction methods (e.g., transfer learning, feature selection, software debloating).
I will finally argue that deep variability is both the problem and solution of frictionless reproducibility, calling the software science community to develop new methods and tools to manage variability and foster reproducibility in software systems.
Exposé invité Journées Nationales du GDR GPL 2024
Or: Beyond linear.
Abstract: Equivariant neural networks are neural networks that incorporate symmetries. The nonlinear activation functions in these networks result in interesting nonlinear equivariant maps between simple representations, and motivate the key player of this talk: piecewise linear representation theory.
Disclaimer: No one is perfect, so please mind that there might be mistakes and typos.
dtubbenhauer@gmail.com
Corrected slides: dtubbenhauer.com/talks.html
Current Ms word generated power point presentation covers major details about the micronuclei test. It's significance and assays to conduct it. It is used to detect the micronuclei formation inside the cells of nearly every multicellular organism. It's formation takes place during chromosomal sepration at metaphase.
The debris of the ‘last major merger’ is dynamically youngSérgio Sacani
The Milky Way’s (MW) inner stellar halo contains an [Fe/H]-rich component with highly eccentric orbits, often referred to as the
‘last major merger.’ Hypotheses for the origin of this component include Gaia-Sausage/Enceladus (GSE), where the progenitor
collided with the MW proto-disc 8–11 Gyr ago, and the Virgo Radial Merger (VRM), where the progenitor collided with the
MW disc within the last 3 Gyr. These two scenarios make different predictions about observable structure in local phase space,
because the morphology of debris depends on how long it has had to phase mix. The recently identified phase-space folds in Gaia
DR3 have positive caustic velocities, making them fundamentally different than the phase-mixed chevrons found in simulations
at late times. Roughly 20 per cent of the stars in the prograde local stellar halo are associated with the observed caustics. Based
on a simple phase-mixing model, the observed number of caustics are consistent with a merger that occurred 1–2 Gyr ago.
We also compare the observed phase-space distribution to FIRE-2 Latte simulations of GSE-like mergers, using a quantitative
measurement of phase mixing (2D causticality). The observed local phase-space distribution best matches the simulated data
1–2 Gyr after collision, and certainly not later than 3 Gyr. This is further evidence that the progenitor of the ‘last major merger’
did not collide with the MW proto-disc at early times, as is thought for the GSE, but instead collided with the MW disc within
the last few Gyr, consistent with the body of work surrounding the VRM.
3. Contents
Topic 1 – Numbers to 10 (pp. 1–21)
l 0 (zero)___________________________________
l 1 (one)___________________________________
l 2 (two)___________________________________
l 3 (three)__________________________________
l 4 (four)___________________________________
l 5 (five)___________________________________
l one to five________________________________
l 6 (six)____________________________________
l 7 (seven)_________________________________
l 8 (eight)__________________________________
l 9 (nine)___________________________________
l 10 (ten)__________________________________
l before and after____________________________
l one more and one less_______________________
l count on__________________________________
l counting backwards_________________________
l using five as a reference_____________________
l how many?_______________________________
l more than and less than_____________________
Topic 2 – Numbers to 20 (pp. 22–32)
l 11 and 12________________________________
l 13 to 15_________________________________
l 11 to 15_________________________________
l 16 to 19_________________________________
l 20 (twenty)_______________________________
l 1 to 20__________________________________
l count on and back__________________________
l ordering numbers___________________________
l tens and ones introduction___________________
l estimation________________________________
Date completed
Series A – Numbers and Patterns
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