The document provides tips for multiplying numbers 0-12. It explains tricks for multiplying by each number, such as doubling for 2, cutting in half and dropping the decimal for odd numbers, cutting in half and adding a 0 for even numbers, and duplicating the number for 11. The tricks are intended to make multiplication easier to learn.
Vedic mathematics is a system of mathematics consisting of 16 basic principles called sūtras. It was presented in the early 20th century by Bharati Krishna Tirthaji Maharaja to make calculations easier. Some key techniques include multiplying by 5 by taking the number's half and adding a 0, and multiplying by 15 by taking the number's half, adding it to the original number, and multiplying the result by 10. It also provides strategies for subtraction like converting numbers to a digit-by-digit format to simplify large subtractions. The goal of Vedic mathematics is to make calculations more intuitive and less tedious.
The document contains examples of average and mixture word problems with solutions. It includes problems about calculating the average age, weight, or marks of groups where new members join or leave. Other problems involve mixing substances like water, milk, sugar in different ratios and calculating the average properties of the mixtures. The document provides step-by-step workings to arrive at the solutions.
1) The document discusses linear equations, including definitions, methods of solving linear equations such as balancing and transposition, and examples of solving various types of linear equations.
2) It also covers converting statements to equations and vice versa, checking solutions, and practical applications involving solving equations for unknown values.
3) Examples of solving linear equations include finding the value of variables, using methods like balancing terms or transposition to isolate the variable, and verifying solutions.
The document discusses the order of operations and word problems. It explains that the order of operations (PEMDAS - Please Excuse My Dear Aunt Sally) determines the order that math operations should be performed. It provides an example of working through an order of operations problem step-by-step. It also discusses how to set up and solve word problems by identifying key words that indicate the appropriate math operation and translating the word problem into a numeric equation. Sample word problems are provided along with their step-by-step solutions.
The document provides information and examples about multiplication and division. It begins with examples of creating a multiplication square and using it to explore properties of multiplication like commutativity and patterns in square and odd numbers. It then discusses prime numbers, unique multiplication and division facts, and multiplying multiples of 10 by adding zeros. The document provides brainstorming questions, examples of long multiplication and division, and discusses remainders and how to interpret them when sharing quantities into groups.
This document contains a collection of algebra word problems involving addition, subtraction, and solving for unknown variables. There are over 50 problems presented without solutions testing skills in setting up and solving linear equations for single variables across different operations.
1) The product of numbers 1 to 5 is 120, with 1 zero.
2) The product of numbers 1 to 10 is 3628800, with 2 zeros.
3) When multiplying a number by 10, 100, 1000, etc., multiply the number and add the corresponding number of zeros to the product.
The document provides tips for multiplying numbers 0-12. It explains tricks for multiplying by each number, such as doubling for 2, cutting in half and dropping the decimal for odd numbers, cutting in half and adding a 0 for even numbers, and duplicating the number for 11. The tricks are intended to make multiplication easier to learn.
Vedic mathematics is a system of mathematics consisting of 16 basic principles called sūtras. It was presented in the early 20th century by Bharati Krishna Tirthaji Maharaja to make calculations easier. Some key techniques include multiplying by 5 by taking the number's half and adding a 0, and multiplying by 15 by taking the number's half, adding it to the original number, and multiplying the result by 10. It also provides strategies for subtraction like converting numbers to a digit-by-digit format to simplify large subtractions. The goal of Vedic mathematics is to make calculations more intuitive and less tedious.
The document contains examples of average and mixture word problems with solutions. It includes problems about calculating the average age, weight, or marks of groups where new members join or leave. Other problems involve mixing substances like water, milk, sugar in different ratios and calculating the average properties of the mixtures. The document provides step-by-step workings to arrive at the solutions.
1) The document discusses linear equations, including definitions, methods of solving linear equations such as balancing and transposition, and examples of solving various types of linear equations.
2) It also covers converting statements to equations and vice versa, checking solutions, and practical applications involving solving equations for unknown values.
3) Examples of solving linear equations include finding the value of variables, using methods like balancing terms or transposition to isolate the variable, and verifying solutions.
The document discusses the order of operations and word problems. It explains that the order of operations (PEMDAS - Please Excuse My Dear Aunt Sally) determines the order that math operations should be performed. It provides an example of working through an order of operations problem step-by-step. It also discusses how to set up and solve word problems by identifying key words that indicate the appropriate math operation and translating the word problem into a numeric equation. Sample word problems are provided along with their step-by-step solutions.
The document provides information and examples about multiplication and division. It begins with examples of creating a multiplication square and using it to explore properties of multiplication like commutativity and patterns in square and odd numbers. It then discusses prime numbers, unique multiplication and division facts, and multiplying multiples of 10 by adding zeros. The document provides brainstorming questions, examples of long multiplication and division, and discusses remainders and how to interpret them when sharing quantities into groups.
This document contains a collection of algebra word problems involving addition, subtraction, and solving for unknown variables. There are over 50 problems presented without solutions testing skills in setting up and solving linear equations for single variables across different operations.
1) The product of numbers 1 to 5 is 120, with 1 zero.
2) The product of numbers 1 to 10 is 3628800, with 2 zeros.
3) When multiplying a number by 10, 100, 1000, etc., multiply the number and add the corresponding number of zeros to the product.
This document contains 20 math word problems to solve. The problems involve calculating unknown values in equations with addition, subtraction, multiplication and division. Answers to the problems are provided at the end. The purpose is for students to practice solving equations for unknowns. Additional challenges include problems with negative terms and fractions. Peer assessment is included where students review and provide feedback on each other's work.
This document discusses how to solve and graph linear inequalities, including graphing one-variable inequalities, solving one-variable inequalities algebraically, and solving compound inequalities involving "and" or "or". Examples are provided for graphing and solving various linear inequalities and compound inequalities involving one variable.
This document provides information about revision grids for level 4 math topics. It includes a welcome message and instructions on how the grids can be used for revision and assessment. Suggestions are given for using the grids in class individually, as a game, or to promote collaboration. The source of inspiration for the grids is cited. Users are encouraged to provide feedback on how the grids are used.
The document describes several strategies for addition problems:
1) Counting-on involves starting with the larger number and counting up the smaller number of units.
2) Doubles +/- 1, +/-2 transforms problems into doubles facts by changing one addend.
3) Make a Ten changes problems so the sum of the addends is a multiple of ten.
4) Compensation takes two numbers near a double and transforms them into an exact double. It differs from doubles in using only two "reactants".
The document contains multiple questions related to average, percentage, and profit. It discusses concepts like:
- Calculating average when new data is added
- Finding percentages when parts of a whole change
- Solving word problems involving averages, percentages, and profit/loss calculations
- Multiple choice and short answer questions test understanding of basic mathematical concepts
The document discusses various patterns and properties found in numbers. It shows how numbers like 37 multiplied by multiples of 3 produce repeating numbers like 111, 222, 333. It also shows trapezoids formed by multiplying numbers by 9 and adding subsequent numbers that produce long strings of repeating numbers. Right angle triangles of multiplying numbers also produce large repeating numbers. The document explores the inherent beauty found in the patterns and relationships between numbers.
This document appears to be a Jeopardy! game covering various math topics including integers, probability, and percents. The game is divided into rows and columns with math questions in each slot and their corresponding answers. The questions cover skills like evaluating expressions, finding probabilities, percentages, and solving equations involving integers.
This document appears to be a Jeopardy! game covering various math topics including integers, probability, and percents. The game is divided into rows and columns with math problems and questions worth different point values. Many of the questions test concepts like evaluating expressions, solving equations, estimating with fractions and multiples of ten, probability, and working with percentages.
The document provides information about factorizing algebraic expressions:
- It discusses factors and multiples, explaining what they are and providing examples of finding factors and multiples.
- It introduces factorizing algebraic expressions by taking out common factors. Examples are given of factorizing expressions like 3x^2 + 5x.
- Students are given practice problems to factorize expressions involving variables like x, y, a. They are also given practice finding the highest common factor of numbers and algebraic expressions.
This document presents mathematical patterns and formulas to demonstrate the beauty of mathematics. It shows how certain numbers or operations repeated with numbers result in symmetrical patterns. It also shows how assigning numeric values to each letter in words can represent percentages, concluding that "Attitude" equals 100% while "Hard Work" and "Knowledge" are less, indicating attitude is what allows one to fully achieve their goals.
The document defines average and provides formulas for calculating average. It discusses how to calculate the average of consecutive even/odd numbers, what happens when quantities are added to or replaced in a group, and how to calculate averages of specific data sets like positive integers. It then provides 10 problems calculating averages based on the information and formulas provided in the definitions section. The problems include calculating averages of data sets, determining values based on changes to averages, and identifying values that would produce a given average.
The document contains 8 word problems involving percentages. The problems cover topics such as finding percentages, ratios, increases/decreases in quantities, and solving for unknown values. The word problems are presented along with multiple choice answer options.
This document discusses the beauty of mathematics through examples of patterns found in multiplication tables and letter values corresponding to percentages. It shows symmetrical patterns that emerge when numbers are multiplied by 8 or 9 and additional digits are added to the results. It also demonstrates that the letters in "ATTITUDE" add up to 100% while "HARDWORK" is 98% and "KNOWLEDGE" is 96%, indicating that attitude is what equals 100% and will "get you there".
This document shows mathematical patterns that demonstrate symmetry and repetition with numbers. It also uses a letter-number cipher to mathematically show that attitude equals 100% while hard work is 98% and knowledge is 96%, indicating that attitude will "get you there". The document aims to reveal the beauty of mathematics through examples and convey that attitude is what achieves 100% in life.
This document presents a system of 3 equations with 2 unknown variables, x and y, and solves for the values of x and y. It takes the 3 equations, puts them into matrix form, and performs row reduction to isolate y and then back-substitute to find x, determining that the solution is y=4 and x=-6.
The document shows mathematical patterns where multiplying single digit numbers by 8 and adding another single digit number produces a series of results. It also shows similar patterns for multiplying single digit numbers by 9. Finally, it highlights the symmetrical pattern produced by multiplying single digit numbers by the same single digit number.
This session focuses on the use of the bar model to solve a range of problems. The presenter modelled a range of teacher behaviour to help students acquire the competencies that they are supposed to by engaging in word problems. It was presented at the Indianapolis conference. We hope not too many people were not able to get a seat at the session. If you were not able to gain entry to the session, please accept our apologies.
This document provides a summary of a presentation on surviving math given by Dr. Yeap Ban Har from the Marshall Cavendish Institute in Singapore. The presentation included slides available on Facebook and discussed shifts in math test questions over time towards requiring more conceptual understanding. It also showed sample math problems and performance data from Primary 4 students in Singapore on TIMSS tests. The document lists the speaker, location, contact information and source of additional slides.
500 most asked apti ques in tcs, wipro, infos(105pgs)PRIYANKKATIYAR2
This document provides 100 numerical aptitude questions and solutions that are commonly asked in campus recruitment drives by companies like Infosys, TCS, CTS, Wipro and Accenture. The questions cover topics such as number systems, permutations, combinations, time and work problems, percentages, profit and loss, and geometry. Shortcuts and tips are provided to solve problems more quickly. The questions are divided into parts for each company and an index provides the topic distribution of questions for each company.
The document discusses the bar model method, a visual approach to solving math word problems using diagrams. It provides examples of using bar models to represent relationships in equations and solve for unknown values. It also discusses using the method with early grade students and adapting it for struggling and advanced learners. The document is by Dr. Yeap Ban Har from the Marshall Cavendish Institute in Singapore and includes links to view additional slides and resources on the bar modeling technique.
This document contains 20 math word problems to solve. The problems involve calculating unknown values in equations with addition, subtraction, multiplication and division. Answers to the problems are provided at the end. The purpose is for students to practice solving equations for unknowns. Additional challenges include problems with negative terms and fractions. Peer assessment is included where students review and provide feedback on each other's work.
This document discusses how to solve and graph linear inequalities, including graphing one-variable inequalities, solving one-variable inequalities algebraically, and solving compound inequalities involving "and" or "or". Examples are provided for graphing and solving various linear inequalities and compound inequalities involving one variable.
This document provides information about revision grids for level 4 math topics. It includes a welcome message and instructions on how the grids can be used for revision and assessment. Suggestions are given for using the grids in class individually, as a game, or to promote collaboration. The source of inspiration for the grids is cited. Users are encouraged to provide feedback on how the grids are used.
The document describes several strategies for addition problems:
1) Counting-on involves starting with the larger number and counting up the smaller number of units.
2) Doubles +/- 1, +/-2 transforms problems into doubles facts by changing one addend.
3) Make a Ten changes problems so the sum of the addends is a multiple of ten.
4) Compensation takes two numbers near a double and transforms them into an exact double. It differs from doubles in using only two "reactants".
The document contains multiple questions related to average, percentage, and profit. It discusses concepts like:
- Calculating average when new data is added
- Finding percentages when parts of a whole change
- Solving word problems involving averages, percentages, and profit/loss calculations
- Multiple choice and short answer questions test understanding of basic mathematical concepts
The document discusses various patterns and properties found in numbers. It shows how numbers like 37 multiplied by multiples of 3 produce repeating numbers like 111, 222, 333. It also shows trapezoids formed by multiplying numbers by 9 and adding subsequent numbers that produce long strings of repeating numbers. Right angle triangles of multiplying numbers also produce large repeating numbers. The document explores the inherent beauty found in the patterns and relationships between numbers.
This document appears to be a Jeopardy! game covering various math topics including integers, probability, and percents. The game is divided into rows and columns with math questions in each slot and their corresponding answers. The questions cover skills like evaluating expressions, finding probabilities, percentages, and solving equations involving integers.
This document appears to be a Jeopardy! game covering various math topics including integers, probability, and percents. The game is divided into rows and columns with math problems and questions worth different point values. Many of the questions test concepts like evaluating expressions, solving equations, estimating with fractions and multiples of ten, probability, and working with percentages.
The document provides information about factorizing algebraic expressions:
- It discusses factors and multiples, explaining what they are and providing examples of finding factors and multiples.
- It introduces factorizing algebraic expressions by taking out common factors. Examples are given of factorizing expressions like 3x^2 + 5x.
- Students are given practice problems to factorize expressions involving variables like x, y, a. They are also given practice finding the highest common factor of numbers and algebraic expressions.
This document presents mathematical patterns and formulas to demonstrate the beauty of mathematics. It shows how certain numbers or operations repeated with numbers result in symmetrical patterns. It also shows how assigning numeric values to each letter in words can represent percentages, concluding that "Attitude" equals 100% while "Hard Work" and "Knowledge" are less, indicating attitude is what allows one to fully achieve their goals.
The document defines average and provides formulas for calculating average. It discusses how to calculate the average of consecutive even/odd numbers, what happens when quantities are added to or replaced in a group, and how to calculate averages of specific data sets like positive integers. It then provides 10 problems calculating averages based on the information and formulas provided in the definitions section. The problems include calculating averages of data sets, determining values based on changes to averages, and identifying values that would produce a given average.
The document contains 8 word problems involving percentages. The problems cover topics such as finding percentages, ratios, increases/decreases in quantities, and solving for unknown values. The word problems are presented along with multiple choice answer options.
This document discusses the beauty of mathematics through examples of patterns found in multiplication tables and letter values corresponding to percentages. It shows symmetrical patterns that emerge when numbers are multiplied by 8 or 9 and additional digits are added to the results. It also demonstrates that the letters in "ATTITUDE" add up to 100% while "HARDWORK" is 98% and "KNOWLEDGE" is 96%, indicating that attitude is what equals 100% and will "get you there".
This document shows mathematical patterns that demonstrate symmetry and repetition with numbers. It also uses a letter-number cipher to mathematically show that attitude equals 100% while hard work is 98% and knowledge is 96%, indicating that attitude will "get you there". The document aims to reveal the beauty of mathematics through examples and convey that attitude is what achieves 100% in life.
This document presents a system of 3 equations with 2 unknown variables, x and y, and solves for the values of x and y. It takes the 3 equations, puts them into matrix form, and performs row reduction to isolate y and then back-substitute to find x, determining that the solution is y=4 and x=-6.
The document shows mathematical patterns where multiplying single digit numbers by 8 and adding another single digit number produces a series of results. It also shows similar patterns for multiplying single digit numbers by 9. Finally, it highlights the symmetrical pattern produced by multiplying single digit numbers by the same single digit number.
This session focuses on the use of the bar model to solve a range of problems. The presenter modelled a range of teacher behaviour to help students acquire the competencies that they are supposed to by engaging in word problems. It was presented at the Indianapolis conference. We hope not too many people were not able to get a seat at the session. If you were not able to gain entry to the session, please accept our apologies.
This document provides a summary of a presentation on surviving math given by Dr. Yeap Ban Har from the Marshall Cavendish Institute in Singapore. The presentation included slides available on Facebook and discussed shifts in math test questions over time towards requiring more conceptual understanding. It also showed sample math problems and performance data from Primary 4 students in Singapore on TIMSS tests. The document lists the speaker, location, contact information and source of additional slides.
500 most asked apti ques in tcs, wipro, infos(105pgs)PRIYANKKATIYAR2
This document provides 100 numerical aptitude questions and solutions that are commonly asked in campus recruitment drives by companies like Infosys, TCS, CTS, Wipro and Accenture. The questions cover topics such as number systems, permutations, combinations, time and work problems, percentages, profit and loss, and geometry. Shortcuts and tips are provided to solve problems more quickly. The questions are divided into parts for each company and an index provides the topic distribution of questions for each company.
The document discusses the bar model method, a visual approach to solving math word problems using diagrams. It provides examples of using bar models to represent relationships in equations and solve for unknown values. It also discusses using the method with early grade students and adapting it for struggling and advanced learners. The document is by Dr. Yeap Ban Har from the Marshall Cavendish Institute in Singapore and includes links to view additional slides and resources on the bar modeling technique.
Subtraction is the process of taking away a number from another. The minuend is the first number and the subtrahend is the second number being subtracted. The difference is the resulting number. To subtract, start with the ones place and work left to right borrowing from the place to the left as needed. Estimation means having a rough calculation and can be used to quickly estimate differences mentally. Key action words for subtraction include subtract, deduct, decrease, difference, minus, take away, diminish, reduce, and remove.
Subtraction is the process of taking away a number from another. The minuend is the first number and the subtrahend is the second number being subtracted. The difference is the resulting number. To subtract, start with the ones place and work left to right borrowing from the place to the left as needed. Estimation means having a rough calculation and is used to make mental calculations quicker when an approximate answer is acceptable. Key words in subtraction include subtract, deduct, decrease, difference, minus, take away, diminish, reduce, and how many left.
St Vincent de Paul Y5 Home learning W2 15.1.21 friNICOLEWHITE118
Sock puppets
Sock animals
Sock dolls
Sock monsters
Decorate socks
Sock painting
Sock weaving
Sock crafts
Sock slippers
Sock ball
Sock people
Have fun and post photos of your creations on the class blog!
The document provides information about a parental workshop on Mathematics Mastery. It aims to help parents understand what Mathematics Mastery is, its core principles, and how parents can support their children. Mathematics Mastery focuses on developing a deep conceptual understanding through cumulative learning and representing concepts in multiple ways, rather than acceleration. It emphasizes problem solving, mathematical thinking and communication. Parents can support their children by fostering a growth mindset, encouraging reasoning and making links, and engaging in further reading on teaching mathematics concepts.
The document provides information about various mathematical concepts including the mean, median, mode, and range. It defines the mean as the average, which is calculated by adding all numbers in a data set and dividing by the total count. The median is defined as the middle value when the data is arranged in order. The mode is the value that occurs most frequently. The range is the difference between the highest and lowest values. Examples are given for calculating the mean of a data set.
This document provides 100 numerical aptitude questions asked in campus placements by companies like Infosys, TCS, CTS, Wipro and Accenture, along with their solutions. It aims to help students target their learning and know more than their competitors. Some key topics covered include number systems, time and work problems, percentages, and geometry. The author provides contact information for students who have additional doubts.
Mr Tan originally had some oranges for sale. After three customers bought portions of the remaining oranges and received free oranges, Mr Tan had 1 dozen (12) oranges left. Working backwards, the initial number of oranges Mr Tan had was calculated to be 216.
The document announces an international education seminar on January 4th 2012 in Singapore to introduce the Singapore method for teaching mathematics. The seminar will be led by Dr. Yeap Ban Har and will include presentations and workshops on the basic theories and models used in the Singapore approach, such as the bar model for problem solving. A schedule and contact information is provided for those interested in learning more about the Singapore math teaching method.
The document provides a series of maths practice questions and lessons for students over 5 days. It includes mixed times tables questions to practice, speed tests, word problems involving money and decimals, short multiplication, and reading/writing Roman numerals. Lessons cover adding/subtracting involving money, decimals, and fractions. Daily quizzes provide additional math problems to solve.
Learning math multiplication tables 1 to 20 are necessary to solve all complex and simple mathematical problems. Here are a few tips and points to memorize the math tables by heart.
The document discusses the Model Method, an instructional approach for upper primary students. It provides examples of word problems modeled with bars or arrays to represent the relationships and operations in the problems. The examples demonstrate modeling problems for up to 8 days to help average students, and using algebra to model problems for 3-4 days for advanced students. It also discusses using differentiated instructional strategies and modeling techniques for struggling learners.
The document discusses solving equations, including equations with unknowns on both sides and with brackets. It provides examples of solving various types of equations, such as equations with fractions or variables on both sides. Strategies for solving equations include collecting like terms, using the inverse operation to isolate the variable, and expanding any brackets before solving.
St. Vincent de Paul Home Learning W1 5.1.21NICOLEWHITE118
This document contains the daily schedule and tasks for a student's remote learning on Tuesday 5th January 2021. It includes subjects like Prayer, PSHE, Maths, Grammar & Spelling, Reading, Geography, PE and Reading. For each subject, learning objectives and activities are outlined. For Maths, examples of multiplication calculations and using the grid method are provided. Reading comprehension involves a chapter from the book Matilda. Students are instructed to complete tasks, take breaks, and check their work. They are reminded to focus on each task and do their best.
This document contains several word problems involving systems of linear equations. The problems cover topics like solving for unknown costs given total spending and item quantities at a bakery, determining ticket prices for ice hockey games based on attendance and revenue numbers, finding the individual costs of Pokémon for sale given total revenue, and using attendance and revenue to deduce ticket prices for adult and child attendees at handball games. Solutions are provided for each problem.
Similar to RGPS Seminar for Parents (Revised) (20)
This document discusses differentiating instruction to challenge advanced learners. It provides examples of ways to assess basic subtraction skills through runway indicators. For advanced learners, it suggests having them solve problems in alternative ways, write stories for equations, or write notes applying math concepts to enrich their learning beyond basic skills.
The document discusses using math journals in elementary school classrooms to teach mathematical concepts. It describes a framework for teaching mastery that involves anchor tasks, guided practice, and independent practice. Journaling is presented as one part of this process where students explore concepts, structure their understanding, and reflect on their learning. Examples are provided of kindergarteners recording number bonds in their journals to master basic counting and addition. The journal entries allow teachers to assess understanding and provide differentiated instruction.
The document outlines a schedule for four sessions occurring between 08:30-04:00 with a forum period from 03:30-04:00. It then discusses using a lesson on the Common Core to understand critical areas for Grade 1, including number bonds, comparison of numbers, and conservation of numbers. Various methods for developing visualization like the CPA approach, bar models, and teacher questioning are listed. The document goes on to discuss elements of effective math lessons including exploration, structure, journaling, reflection, and guided/independent practice using addition and subtraction strategies like counting all, making 10, subtracting from ten, and renaming before subtracting with examples provided.
This document provides an overview of a middle school mathematics institute that will take place on Saturday. It discusses the basic lesson format, which includes an anchor task, guided practice, and independent practice. It also references Bruner's idea of using concrete experiences and pictorial representations to help students understand abstract ideas. The document then provides several case studies as examples of lessons that could be used to develop, apply, and practice various mathematical concepts involving fractions, algebra, geometry, and more.
This document provides an overview of a Grade 5 mathematics institute that will take place on a Friday. It outlines the basic lesson format, which includes an anchor task, guided practice, and independent practice. It also references several learning theories that provide a framework for the lesson, such as Bruner's idea of concrete, iconic, and symbolic representations. The document includes several math word problems from past PSLE exams in Singapore to use for practice. It concludes with key learning theories covered and strategies for challenging advanced learners.
1) The document discusses standards and instructional focus areas for Grade 4 mathematics, including multi-digit multiplication and division, fractions, and geometric shapes.
2) It provides examples of case studies to solve, including arranging fractions in order and word problems involving fractions of amounts.
3) Theories of learning and representation discussed include Bruner's CPA approach and Skemp's classifications of understanding in mathematics.
This document provides information about a grade 3 mathematics institute to be held on Wednesday. It discusses key theories in mathematics learning from Piaget, Bruner, Dienes, Vygotsky, and Skemp. The document also provides several case studies with examples of lesson plans and problems that assess different mathematical concepts like operations, fractions, problem solving, and place value.
The document discusses a Grade 2 math institute that will focus on place value using concrete and pictorial representations. It provides several case studies on topics like subtraction across zeros, fractions, and problem solving. The lessons follow a basic format of an anchor task, guided practice, and independent practice. Key learning theories that will be drawn from include those from Piaget, Bruner, Dienes, Vygotsky, and Skemp. Bruner's CPA approach and Skemp's classifications of understanding will be particularly relevant for using different representations to build conceptual and relational understanding.
This document contains instructions for cutting out numbers and mathematical symbols from a page. It includes numbers from 0 to 9, basic mathematical operators like + and -, and instructions to cut out the listed items. The document is repetitive, listing the same numbers and symbols twice.
The document summarizes discussions from breakout sessions at the 4th Singapore Math Institute on teaching mathematics using Singapore's approach. It provides tasks and problems from Singapore classrooms related to practicing skills through problem-solving, using anchor tasks to structure lessons, and teaching geometry in grades 4-6. The goals are to emulate Singapore's emphasis on problem-solving and multi-step word problems to develop students' mathematical thinking.
The document discusses strategies for developing and improving mathematical practices, such as using anchor tasks, collaborative structures, questioning techniques, journals, textbooks for reflection, and focusing on visualization, generalization, and number sense. It also discusses moving from concrete to pictorial to abstract representations, and using anchor tasks and challenging word problems to teach Singapore math concepts.
This document discusses using a problem-solving approach to teach mathematics. It focuses on practicing problem-solving lessons and breaking students into groups to work on problems. The document provides resources for lesson plans and contact information for the speaker who advocates for integrating problem-solving into mathematics education.
Se01 abc's of singapore math through whole numbersJimmy Keng
The document discusses the Singapore approach to teaching mathematics, which was developed to help Singaporean students perform better in math. It is based on Bruner's ideas of a spiral curriculum and using representations. The document provides 15 sample math tasks that demonstrate fundamentals of Singapore Math instruction, such as the Concrete-Pictorial-Abstract approach. It also includes quotes from Bruner about revisiting basic ideas repeatedly to help students master structured bodies of knowledge.
This document contains an agenda for a staff development conference on Singapore Math strategies with a focus on visualization. It includes 4 sample math tasks: 1) finding the area of a 4-sided polygon on a geoboard; 2) calculating leftover wire used to make a figure of 6 equilateral triangles; 3) dividing numbers by 3, 4, and 6; and 4) a word problem about Peter and Nancy exchanging coins to determine how many Peter originally had. The tasks are meant to illustrate ways to get students to visualize math concepts.
A Visual Guide to 1 Samuel | A Tale of Two HeartsSteve Thomason
These slides walk through the story of 1 Samuel. Samuel is the last judge of Israel. The people reject God and want a king. Saul is anointed as the first king, but he is not a good king. David, the shepherd boy is anointed and Saul is envious of him. David shows honor while Saul continues to self destruct.
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...TechSoup
Whether you're new to SEO or looking to refine your existing strategies, this webinar will provide you with actionable insights and practical tips to elevate your nonprofit's online presence.
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إضغ بين إيديكم من أقوى الملازم التي صممتها
ملزمة تشريح الجهاز الهيكلي (نظري 3)
💀💀💀💀💀💀💀💀💀💀
تتميز هذهِ الملزمة بعِدة مُميزات :
1- مُترجمة ترجمة تُناسب جميع المستويات
2- تحتوي على 78 رسم توضيحي لكل كلمة موجودة بالملزمة (لكل كلمة !!!!)
#فهم_ماكو_درخ
3- دقة الكتابة والصور عالية جداً جداً جداً
4- هُنالك بعض المعلومات تم توضيحها بشكل تفصيلي جداً (تُعتبر لدى الطالب أو الطالبة بإنها معلومات مُبهمة ومع ذلك تم توضيح هذهِ المعلومات المُبهمة بشكل تفصيلي جداً
5- الملزمة تشرح نفسها ب نفسها بس تكلك تعال اقراني
6- تحتوي الملزمة في اول سلايد على خارطة تتضمن جميع تفرُعات معلومات الجهاز الهيكلي المذكورة في هذهِ الملزمة
واخيراً هذهِ الملزمة حلالٌ عليكم وإتمنى منكم إن تدعولي بالخير والصحة والعافية فقط
كل التوفيق زملائي وزميلاتي ، زميلكم محمد الذهبي 💊💊
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CapTechTalks Webinar Slides June 2024 Donovan Wright.pptxCapitolTechU
Slides from a Capitol Technology University webinar held June 20, 2024. The webinar featured Dr. Donovan Wright, presenting on the Department of Defense Digital Transformation.
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...indexPub
The recent surge in pro-Palestine student activism has prompted significant responses from universities, ranging from negotiations and divestment commitments to increased transparency about investments in companies supporting the war on Gaza. This activism has led to the cessation of student encampments but also highlighted the substantial sacrifices made by students, including academic disruptions and personal risks. The primary drivers of these protests are poor university administration, lack of transparency, and inadequate communication between officials and students. This study examines the profound emotional, psychological, and professional impacts on students engaged in pro-Palestine protests, focusing on Generation Z's (Gen-Z) activism dynamics. This paper explores the significant sacrifices made by these students and even the professors supporting the pro-Palestine movement, with a focus on recent global movements. Through an in-depth analysis of printed and electronic media, the study examines the impacts of these sacrifices on the academic and personal lives of those involved. The paper highlights examples from various universities, demonstrating student activism's long-term and short-term effects, including disciplinary actions, social backlash, and career implications. The researchers also explore the broader implications of student sacrifices. The findings reveal that these sacrifices are driven by a profound commitment to justice and human rights, and are influenced by the increasing availability of information, peer interactions, and personal convictions. The study also discusses the broader implications of this activism, comparing it to historical precedents and assessing its potential to influence policy and public opinion. The emotional and psychological toll on student activists is significant, but their sense of purpose and community support mitigates some of these challenges. However, the researchers call for acknowledging the broader Impact of these sacrifices on the future global movement of FreePalestine.
This presentation was provided by Racquel Jemison, Ph.D., Christina MacLaughlin, Ph.D., and Paulomi Majumder. Ph.D., all of the American Chemical Society, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.
Leveraging Generative AI to Drive Nonprofit InnovationTechSoup
In this webinar, participants learned how to utilize Generative AI to streamline operations and elevate member engagement. Amazon Web Service experts provided a customer specific use cases and dived into low/no-code tools that are quick and easy to deploy through Amazon Web Service (AWS.)
How to Download & Install Module From the Odoo App Store in Odoo 17Celine George
Custom modules offer the flexibility to extend Odoo's capabilities, address unique requirements, and optimize workflows to align seamlessly with your organization's processes. By leveraging custom modules, businesses can unlock greater efficiency, productivity, and innovation, empowering them to stay competitive in today's dynamic market landscape. In this tutorial, we'll guide you step by step on how to easily download and install modules from the Odoo App Store.
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.pptHenry Hollis
The History of NZ 1870-1900.
Making of a Nation.
From the NZ Wars to Liberals,
Richard Seddon, George Grey,
Social Laboratory, New Zealand,
Confiscations, Kotahitanga, Kingitanga, Parliament, Suffrage, Repudiation, Economic Change, Agriculture, Gold Mining, Timber, Flax, Sheep, Dairying,
1. Using The Model Method to Solve Word Problems DrYeap Ban Har Marshall Cavendish Institute Singapore Slides are available at www.banhar.blogspot.com CollegioDagoberto Godoy, Santiago de Chile
22. 90 + 15 = 105 5 units 1 unit 105 ÷ 5 = 21 There were (21 + 21 + 23) apples, hence oranges. There were 44 oranges used. apples ? oranges pears 15 23
23. What if we have drawn 38 to be much longer? apples 90 oranges 38 pears 15
24. What if we have drawn 38 to be much longer? apples 105 oranges 38 pears We still get 5 units 105
25. One other way to solve it … Number of oranges left = x Number of apples left = 2x Number of pears left = 2x – 15 x + 2x + 2x – 15 = 90 5x = 105 x = 21 Number of pears left = 2 x 21 – 15 = 27 Number of pears at first = 38 + 27 = 65 Number of oranges at first = 65 Number of oranges used = 65 – x = 65 – 21 = 44
26. 18% 342 24% 76% 76% 342 Mr Wong had 450 books at first. 1% 4.5 100% 450
27. Xueling + Siti (64) Jane (16) (24 – 16) units = 8 units 8 units = 14 shells 40 units = 5 x 14 shells 40 units = (50 + 20) shells Xueling collected 70 shells. Jane + Xueling Siti (24) (40)
35. w + a + c = 180z w v d c 2a + 2 b + 2c + 2d + 2e + x + y + z + v + w = 5 x 180 x + y + z + v + w = 3 x 180 Hence, a + b + c + d + e = 180
36. Using The Model Method to Solve Word Problems DrYeap Ban Har Marshall Cavendish Institute Singapore Slides are available at www.banhar.blogspot.com
37. Mani has 245 ten-cent coins and 455 five-cent coins. Nina has 165 ten-cent coins and 135 five-cent coins. After Mani gives Nina some coins, of Mani’s coins are ten-cent ones and the ratio of the number of Nina’s five-cent coins to the number of her one-cent coins is 3 : 2. They have only five-cent and one-cent coins. Using The Model Method to Solve Word Problems Slides are available at www.banhar.blogspot.com Post Your Solutions on MCI’s Facebook Find the number of coins Mani gives to Nina.