Applied Math 40S June 3, 2008
•
0 likes•376 views
The document discusses geometric sequences, defining them as lists of numbers where each term is generated by multiplying the previous term by a common ratio. It provides the formulas to calculate the common ratio, the nth term, and examples of finding specific terms within common geometric sequences. The document also includes an example word problem about calculating the amount of medicine in a cat's body over multiple days.
Report
Share
Report
Share
Download to read offline
Recommended
learning competency 4a. writes expressions with rational exponents as radicals
This document provides instructions on how to write expressions with rational exponents as radicals. It explains that if m/n is a rational number and a is a positive real number, then a^m/n = (nth root of a)^m provided that (nth root of a)^m is a real number. This form of nth root of a^m is called the principal nth root. The document contains examples of rewriting expressions with rational exponents in radical form. It also includes practice problems for students to complete.
Kungfu math p3 slide7 (addition fraction)
This document discusses addition of fractions. It recaps that equivalent fractions have the same value even if they look different. It then explains the 3 steps to add fractions: 1) make the denominators the same, 2) add the numerators and put over the denominator, and 3) simplify if necessary. Examples are provided, such as 1/2 + 1/2 = 1 and 1/8 + 1/8 = 1/4.
1 ESO - Unit 07 - Exercises 1.7.1 - Meaning of Fractions.
This document contains a mathematics worksheet with 14 problems involving fractions. The problems include writing fractions as decimals, calculating fractions of numbers, comparing fractions, ordering fractions from smallest to largest, converting between mixed numbers and improper fractions, and representing fractions visually. The worksheet provides practice with foundational fraction operations and conversions.
Grade VI Chap 2 Math Part 1 Theory | Introduction - Whole Numbers
In this presentation, we have discussed theoretical concepts of natural numbers, whole numbers, number lines, addition, subtraction, multiplication, commutative and associative law under addition and over multiplication.
see the video on YouTube: https://youtu.be/EyxJKE3jEU8
Y11 m01 matrices
The document describes matrix operations including multiplication, addition, subtraction, and scalar multiplication of matrices. It provides examples of calculating total costs by multiplying a quantities matrix by a cost matrix. It also defines identity matrices and their property of leaving a matrix unchanged when multiplied.
Set theory: by Pratima Nayak
This presentation can be used as teaching aid for teaching Set theory ( Mathematics in Class XI CBSE.I use for teaching my students.
3 5 solving equations with variable on both sides
The document provides steps for solving linear equations, including changing subtraction to addition of negatives, removing grouping symbols and exponents, combining like terms, isolating the variable, and identifying special cases where there are no solutions or infinite solutions. It then provides example equations to solve and identifies the correct solutions.
Sample1
1) The document discusses a scenario where a person repeatedly turns a lamp on and off while forgetting and remembering parts of their homework. Each time the interval to remember something new is halved.
2) It asks if the lamp would be on or off at 12am, and what that would say about the scenario.
3) It introduces sequences and convergence, asking questions to explore properties of different sequences and how summing sequences relates to convergence.
Recommended
learning competency 4a. writes expressions with rational exponents as radicals
This document provides instructions on how to write expressions with rational exponents as radicals. It explains that if m/n is a rational number and a is a positive real number, then a^m/n = (nth root of a)^m provided that (nth root of a)^m is a real number. This form of nth root of a^m is called the principal nth root. The document contains examples of rewriting expressions with rational exponents in radical form. It also includes practice problems for students to complete.
Kungfu math p3 slide7 (addition fraction)
This document discusses addition of fractions. It recaps that equivalent fractions have the same value even if they look different. It then explains the 3 steps to add fractions: 1) make the denominators the same, 2) add the numerators and put over the denominator, and 3) simplify if necessary. Examples are provided, such as 1/2 + 1/2 = 1 and 1/8 + 1/8 = 1/4.
1 ESO - Unit 07 - Exercises 1.7.1 - Meaning of Fractions.
This document contains a mathematics worksheet with 14 problems involving fractions. The problems include writing fractions as decimals, calculating fractions of numbers, comparing fractions, ordering fractions from smallest to largest, converting between mixed numbers and improper fractions, and representing fractions visually. The worksheet provides practice with foundational fraction operations and conversions.
Grade VI Chap 2 Math Part 1 Theory | Introduction - Whole Numbers
In this presentation, we have discussed theoretical concepts of natural numbers, whole numbers, number lines, addition, subtraction, multiplication, commutative and associative law under addition and over multiplication.
see the video on YouTube: https://youtu.be/EyxJKE3jEU8
Y11 m01 matrices
The document describes matrix operations including multiplication, addition, subtraction, and scalar multiplication of matrices. It provides examples of calculating total costs by multiplying a quantities matrix by a cost matrix. It also defines identity matrices and their property of leaving a matrix unchanged when multiplied.
Set theory: by Pratima Nayak
This presentation can be used as teaching aid for teaching Set theory ( Mathematics in Class XI CBSE.I use for teaching my students.
3 5 solving equations with variable on both sides
The document provides steps for solving linear equations, including changing subtraction to addition of negatives, removing grouping symbols and exponents, combining like terms, isolating the variable, and identifying special cases where there are no solutions or infinite solutions. It then provides example equations to solve and identifies the correct solutions.
Sample1
1) The document discusses a scenario where a person repeatedly turns a lamp on and off while forgetting and remembering parts of their homework. Each time the interval to remember something new is halved.
2) It asks if the lamp would be on or off at 12am, and what that would say about the scenario.
3) It introduces sequences and convergence, asking questions to explore properties of different sequences and how summing sequences relates to convergence.
Mathematics in the Modern World - GE3 - Set Theory
If you happen to like this powerpoint, you may contact me at flippedchannel@gmail.com
I offer some educational services like:
-powerpoint presentation maker
-grammarian
-content creator
-layout designer
Subscribe to our online platforms:
FlippED Channel (Youtube)
http://bit.ly/FlippEDChannel
LET in the NET (facebook)
http://bit.ly/LETndNET
Lesson 6 complex roots of a polynomial equation
The document discusses complex roots of polynomial equations. It notes that any polynomial with complex roots will have roots that come in conjugate pairs. It asks questions about the relationship between the coefficients of a polynomial and the sum and product of its roots. Specifically, it asks the reader to find the values of a and b for a quartic polynomial given that two of its roots are 3i and 1-2i.
1.1 sets, statements, and reasoning
Here are the answers to your Venn diagram questions:
1. A (whole numbers are integers)
2. Ø (no negative numbers are integers)
3. Ø (no integers are in C)
4. U (the union of integers and whole numbers is all integers)
5. U (the union of integers and negative numbers is all integers)
6. U (the union of integers and C is all integers)
7. Ø (no numbers are both whole and negative)
8. C (the intersection of whole numbers and C is the elements they have in common)
9. B (the union of negative numbers and C is all their elements)
Arithmetic Sequence: Finding the Value of the First Term
This slide focuses on finding the value of the first term given any two values of an arithmetic progression.
Mathematical language-and-symbols-including-sets
This document provides an overview of mathematical language and symbols. It discusses how mathematics can be considered a language with its own precise, concise and powerful means of communicating ideas using symbols. Examples of common symbols are presented, as well as how English phrases can be translated into mathematical expressions. Sets are then introduced as collections of objects or elements that can be represented using set notation. Operations on sets like union, intersection and complement are defined along with examples.
Sets and set operations
This document discusses sets and set operations. It defines what a set is and provides examples of sets. It describes different ways to represent sets, including the roster method and set builder method. It also defines different types of sets such as finite and infinite sets, equal sets, equivalent sets, null sets, singleton sets, subsets, supersets, and power sets. The document concludes by discussing set operations like union, intersection, difference, and complement of sets. It also mentions Venn diagrams and important laws of set operations.
Machine learning
The document discusses machine learning algorithms and some of the challenges they aim to address. It provides examples of tasks that are easy for humans but difficult for computers, like identifying faces in images. The document then explains how machine learning algorithms try to solve these problems by gathering labeled data, representing it numerically, and allowing the machine to figure out decision rules through an optimization process rather than relying on human-defined rules. It provides examples of supervised and unsupervised learning and discusses ongoing challenges in applying machine learning to complex real-world problems.
A17-2 substitution notes
This document provides instructions for solving linear systems of equations using substitution. It explains that substitution involves solving one equation for one variable, substituting that expression into the other equation, solving for the other variable, and then substituting back into the original equation. It includes two examples of using substitution to solve linear systems, noting it is easiest to solve for the variable without a coefficient first. Students are assigned practice problems from their homework on pages 408 problems 18 through 34.
Solving radical equations
The document discusses solving radical equations. It introduces radical equations and explains that to solve them, one isolates the radical term, raises both sides of the equation to the equivalent index to eliminate the radical, solves the resulting equation, and checks the solution. It provides examples of solving various radical equations and checking the solutions. It also discusses using the Pythagorean theorem and solving problems involving areas of squares and lengths of sides and diagonals.
1. sets
This document defines and provides examples of sets. The key points covered are:
- A set is a collection of well-defined objects. Sets can be represented using curly braces and commas to separate elements.
- There are different types of sets including finite sets with a countable number of elements, infinite sets with an unlimited number of elements, empty/null sets with no elements, and singleton sets containing one element.
- Set operations like union, intersection, and complement are introduced along with their properties and examples. A Venn diagram can show the relationships between sets visually.
4 ESO Academics - UNIT 05 - SYSTEMS OF EQUATIONS AND INEQUATIONS.
The document discusses systems of linear equations and inequalities. It defines a system of equations as a collection of equations involving the same variables. There are several methods for solving systems - graphically by finding the intersection of lines, substitution by substituting one equation into the other, elimination by adding equations to remove variables. Systems can have one, zero, or infinite solutions depending on the graphs of the equations. Systems of inequalities are solved similarly using number lines for one variable or regions in a plane for two variables.
Classification of solutions
This document provides instruction on classifying solutions to linear equations. It explains that equations can have unique solutions, no solutions, or infinitely many solutions depending on whether the variable terms and constants are the same or different. Examples are provided of equations that have one solution, no solution, or infinitely many solutions. Students are asked to determine the type of solution for sample equations and to write examples of equations with each type of solution. The key concepts are that equations with unique solutions will have different variable terms or constants, equations with no solutions will have the same variable terms and different constants, and equations with infinitely many solutions will have the same variable and constant terms.
Sets and functions daniyal khan
This document discusses sets, set operations, Cartesian products, and functions. It defines what sets and functions are, how they are represented, and different types of sets and functions. Sets are collections of distinct objects that can be determined if an object is a member. Set operations include union, intersection, and difference. Cartesian products combine sets of ordered pairs. Functions map inputs to outputs and can be one-to-one, onto, into, or bijective based on whether elements are mapped uniquely.
Systems of linear equations weedk2 discussion
The document discusses solving systems of linear equations graphically. It explains that to solve a system graphically, each equation in the system is graphed on the same coordinate plane. The point where the graphs intersect is the solution to the system. It provides an example of solving the system "x + y = 10" and "x - y = 2" graphically, finding the solution is (6, 4) by determining the point of intersection between the lines.
Lecture 6.1 6.2 bt
The document outlines the agenda and exam schedule for a class. It then reviews graphing lines and solving systems of linear equations by graphing or algebraically using substitution or elimination methods. Examples are provided to illustrate both algebraic methods. Larger systems of 3 variables are also demonstrated using substitution. Classwork problems are assigned.
9.1 Systems of Linear Equations
This document discusses systems of linear equations and their solutions. It explains that a system of linear equations can have 1) a single solution where all equations are satisfied, 2) no solution making the system inconsistent, or 3) infinitely many solutions. It covers four methods to solve systems: substitution, elimination, graphing, and matrices. Examples are provided to demonstrate each method and to illustrate inconsistent and infinitely many solution cases. Students are assigned practice problems to work through.
Ncert-solutions-for-class9-maths
This document outlines the chapter summaries for NCERT Solutions for Class 9 Maths. It includes 15 chapters that cover topics like number systems, polynomials, coordinate geometry, lines and angles, triangles, quadrilaterals, areas, circles, constructions, Heron's formula, surface areas, volumes, statistics, and probability. Each chapter includes an introduction, explanations of key concepts and formulas, and a summary. The document serves as a table of contents to navigate the different math concepts covered in the NCERT Solutions for Class 9.
Arithmetic Means
This slide focuses on the definition, formula, and solutions of arithmetic mean described by a given succession of numbers and patterns.
Applied 40S June 1, 2009
The document discusses geometric sequences and provides examples of finding specific terms and the common ratio of sequences. It also includes homework problems solving for terms in various geometric sequences and a word problem about the amount of medicine in a sick cat's body over multiple days.
Applied 40S May 28, 2009
The document discusses sequences and their properties. It defines arithmetic and geometric sequences, and explains how to find the common difference or ratio, as well as the nth term of a sequence. It provides examples of solving for these values. The document also discusses using a calculator to work with sequences and lists some practice problems.
Applied Math 40S Slides May 31, 2007
Applications and problem solving with sequences. Also, graphing sequences on the graphing calculator.
Applied Math 40S Slides May 30, 2007
Introduction to sequences, arithmetic, geometric and others. Recursively and implicitly definitions. Using the graphing calculator find the value of any term in a sequence.
More Related Content
What's hot
Mathematics in the Modern World - GE3 - Set Theory
If you happen to like this powerpoint, you may contact me at flippedchannel@gmail.com
I offer some educational services like:
-powerpoint presentation maker
-grammarian
-content creator
-layout designer
Subscribe to our online platforms:
FlippED Channel (Youtube)
http://bit.ly/FlippEDChannel
LET in the NET (facebook)
http://bit.ly/LETndNET
Lesson 6 complex roots of a polynomial equation
The document discusses complex roots of polynomial equations. It notes that any polynomial with complex roots will have roots that come in conjugate pairs. It asks questions about the relationship between the coefficients of a polynomial and the sum and product of its roots. Specifically, it asks the reader to find the values of a and b for a quartic polynomial given that two of its roots are 3i and 1-2i.
1.1 sets, statements, and reasoning
Here are the answers to your Venn diagram questions:
1. A (whole numbers are integers)
2. Ø (no negative numbers are integers)
3. Ø (no integers are in C)
4. U (the union of integers and whole numbers is all integers)
5. U (the union of integers and negative numbers is all integers)
6. U (the union of integers and C is all integers)
7. Ø (no numbers are both whole and negative)
8. C (the intersection of whole numbers and C is the elements they have in common)
9. B (the union of negative numbers and C is all their elements)
Arithmetic Sequence: Finding the Value of the First Term
This slide focuses on finding the value of the first term given any two values of an arithmetic progression.
Mathematical language-and-symbols-including-sets
This document provides an overview of mathematical language and symbols. It discusses how mathematics can be considered a language with its own precise, concise and powerful means of communicating ideas using symbols. Examples of common symbols are presented, as well as how English phrases can be translated into mathematical expressions. Sets are then introduced as collections of objects or elements that can be represented using set notation. Operations on sets like union, intersection and complement are defined along with examples.
Sets and set operations
This document discusses sets and set operations. It defines what a set is and provides examples of sets. It describes different ways to represent sets, including the roster method and set builder method. It also defines different types of sets such as finite and infinite sets, equal sets, equivalent sets, null sets, singleton sets, subsets, supersets, and power sets. The document concludes by discussing set operations like union, intersection, difference, and complement of sets. It also mentions Venn diagrams and important laws of set operations.
Machine learning
The document discusses machine learning algorithms and some of the challenges they aim to address. It provides examples of tasks that are easy for humans but difficult for computers, like identifying faces in images. The document then explains how machine learning algorithms try to solve these problems by gathering labeled data, representing it numerically, and allowing the machine to figure out decision rules through an optimization process rather than relying on human-defined rules. It provides examples of supervised and unsupervised learning and discusses ongoing challenges in applying machine learning to complex real-world problems.
A17-2 substitution notes
This document provides instructions for solving linear systems of equations using substitution. It explains that substitution involves solving one equation for one variable, substituting that expression into the other equation, solving for the other variable, and then substituting back into the original equation. It includes two examples of using substitution to solve linear systems, noting it is easiest to solve for the variable without a coefficient first. Students are assigned practice problems from their homework on pages 408 problems 18 through 34.
Solving radical equations
The document discusses solving radical equations. It introduces radical equations and explains that to solve them, one isolates the radical term, raises both sides of the equation to the equivalent index to eliminate the radical, solves the resulting equation, and checks the solution. It provides examples of solving various radical equations and checking the solutions. It also discusses using the Pythagorean theorem and solving problems involving areas of squares and lengths of sides and diagonals.
1. sets
This document defines and provides examples of sets. The key points covered are:
- A set is a collection of well-defined objects. Sets can be represented using curly braces and commas to separate elements.
- There are different types of sets including finite sets with a countable number of elements, infinite sets with an unlimited number of elements, empty/null sets with no elements, and singleton sets containing one element.
- Set operations like union, intersection, and complement are introduced along with their properties and examples. A Venn diagram can show the relationships between sets visually.
4 ESO Academics - UNIT 05 - SYSTEMS OF EQUATIONS AND INEQUATIONS.
The document discusses systems of linear equations and inequalities. It defines a system of equations as a collection of equations involving the same variables. There are several methods for solving systems - graphically by finding the intersection of lines, substitution by substituting one equation into the other, elimination by adding equations to remove variables. Systems can have one, zero, or infinite solutions depending on the graphs of the equations. Systems of inequalities are solved similarly using number lines for one variable or regions in a plane for two variables.
Classification of solutions
This document provides instruction on classifying solutions to linear equations. It explains that equations can have unique solutions, no solutions, or infinitely many solutions depending on whether the variable terms and constants are the same or different. Examples are provided of equations that have one solution, no solution, or infinitely many solutions. Students are asked to determine the type of solution for sample equations and to write examples of equations with each type of solution. The key concepts are that equations with unique solutions will have different variable terms or constants, equations with no solutions will have the same variable terms and different constants, and equations with infinitely many solutions will have the same variable and constant terms.
Sets and functions daniyal khan
This document discusses sets, set operations, Cartesian products, and functions. It defines what sets and functions are, how they are represented, and different types of sets and functions. Sets are collections of distinct objects that can be determined if an object is a member. Set operations include union, intersection, and difference. Cartesian products combine sets of ordered pairs. Functions map inputs to outputs and can be one-to-one, onto, into, or bijective based on whether elements are mapped uniquely.
Systems of linear equations weedk2 discussion
The document discusses solving systems of linear equations graphically. It explains that to solve a system graphically, each equation in the system is graphed on the same coordinate plane. The point where the graphs intersect is the solution to the system. It provides an example of solving the system "x + y = 10" and "x - y = 2" graphically, finding the solution is (6, 4) by determining the point of intersection between the lines.
Lecture 6.1 6.2 bt
The document outlines the agenda and exam schedule for a class. It then reviews graphing lines and solving systems of linear equations by graphing or algebraically using substitution or elimination methods. Examples are provided to illustrate both algebraic methods. Larger systems of 3 variables are also demonstrated using substitution. Classwork problems are assigned.
9.1 Systems of Linear Equations
This document discusses systems of linear equations and their solutions. It explains that a system of linear equations can have 1) a single solution where all equations are satisfied, 2) no solution making the system inconsistent, or 3) infinitely many solutions. It covers four methods to solve systems: substitution, elimination, graphing, and matrices. Examples are provided to demonstrate each method and to illustrate inconsistent and infinitely many solution cases. Students are assigned practice problems to work through.
Ncert-solutions-for-class9-maths
This document outlines the chapter summaries for NCERT Solutions for Class 9 Maths. It includes 15 chapters that cover topics like number systems, polynomials, coordinate geometry, lines and angles, triangles, quadrilaterals, areas, circles, constructions, Heron's formula, surface areas, volumes, statistics, and probability. Each chapter includes an introduction, explanations of key concepts and formulas, and a summary. The document serves as a table of contents to navigate the different math concepts covered in the NCERT Solutions for Class 9.
Arithmetic Means
This slide focuses on the definition, formula, and solutions of arithmetic mean described by a given succession of numbers and patterns.
What's hot (18)
Mathematics in the Modern World - GE3 - Set Theory
Mathematics in the Modern World - GE3 - Set Theory
Arithmetic Sequence: Finding the Value of the First Term
Arithmetic Sequence: Finding the Value of the First Term
4 ESO Academics - UNIT 05 - SYSTEMS OF EQUATIONS AND INEQUATIONS.
4 ESO Academics - UNIT 05 - SYSTEMS OF EQUATIONS AND INEQUATIONS.
Similar to Applied Math 40S June 3, 2008
Applied 40S June 1, 2009
The document discusses geometric sequences and provides examples of finding specific terms and the common ratio of sequences. It also includes homework problems solving for terms in various geometric sequences and a word problem about the amount of medicine in a sick cat's body over multiple days.
Applied 40S May 28, 2009
The document discusses sequences and their properties. It defines arithmetic and geometric sequences, and explains how to find the common difference or ratio, as well as the nth term of a sequence. It provides examples of solving for these values. The document also discusses using a calculator to work with sequences and lists some practice problems.
Applied Math 40S Slides May 31, 2007
Applications and problem solving with sequences. Also, graphing sequences on the graphing calculator.
Applied Math 40S Slides May 30, 2007
Introduction to sequences, arithmetic, geometric and others. Recursively and implicitly definitions. Using the graphing calculator find the value of any term in a sequence.
Pre-Cal 40S Slides January 16, 2008
The document discusses sequences and provides examples of arithmetic and geometric sequences. It defines key terms like sequence, arithmetic sequence, common difference, geometric sequence, and common ratio. Formulas are given for finding the nth term in an arithmetic sequence and a geometric sequence. Examples are shown for calculating the common difference and finding a specific term in an arithmetic sequence.
Pre-Cal 40S Slides May 29, 2007
The document defines sequences and provides information about arithmetic and geometric sequences. It explains that:
- An arithmetic sequence follows a pattern where each term is generated by adding a common difference to the previous term. The common difference is the slope of the linear equation that generates the terms.
- The nth term in an arithmetic sequence can be calculated as: tn = a + (n - 1)d, where a is the first term, n is the position of the term, and d is the common difference.
- A geometric sequence follows a pattern where each term is generated by multiplying the previous term by a common ratio. The common ratio is the base of the exponential equation that generates the terms.
Pre-Cal 40S Slides June 2, 2008
This document defines sequences and provides information about arithmetic and geometric sequences. It discusses the recursive and implicit definitions of sequences. For arithmetic sequences, it explains how to find the common difference and the nth term using the common difference and the first term. For geometric sequences, it similarly explains how to find the common ratio and the nth term using the common ratio and first term.
Pre-Cal 40S June 3, 2009
The document defines sequences and their patterns, including arithmetic and geometric sequences. It provides the recursive and implicit definitions of each, explaining how to find the common difference or ratio, and the nth term in the sequences. Examples are given for finding the common difference and the nth term in an arithmetic sequence, and the implicit definition and nth term for a geometric sequence.
Applied Math 40S June 2 AM, 2008
The document discusses arithmetic sequences, including defining them recursively or through an implicit linear equation, finding the common difference and nth term, and examples of determining terms and sums of arithmetic sequences given initial terms or the values of a and d. It also provides homework problems involving identifying arithmetic sequences, writing terms, and calculating sums of sequences.
Gg
The document defines key concepts related to sequences and series:
- An infinite sequence is a function with positive integers as its domain. Geometric sequences have a common ratio between consecutive terms.
- The nth term of a geometric sequence is given by an = a1rn-1, where a1 is the first term and r is the common ratio.
- A geometric series is the sum of terms of an infinite geometric sequence. If the common ratio r satisfies |r|<1, the sum of the infinite series can be calculated as a1/(1-r).
- Examples demonstrate calculating individual terms, sums of finite sequences, and sums of infinite series using the given formulas.
DIGITAL TEXT BOOK
This document is the preface to a textbook on number theory. It discusses the goals of the textbook, which are to encourage independent thinking and problem solving rather than rote memorization. Number theory is well-suited for this purpose as patterns in the natural numbers can be discerned through observation and experimentation, but proving theorems requires rigorous demonstration. The textbook was originally written for a course at Brown University designed to attract non-science majors to mathematics. The prerequisites are few, requiring only high school algebra and a willingness to experiment, make mistakes, learn from them, and persevere.
Similar to Applied Math 40S June 3, 2008 (11)
More from Darren Kuropatwa
Behind Their Eyes v1
Behind Their Eyes - making thinking visible is not enough
Walk into any classroom and watch the breakneck pace at which teachers are working hard to help students learn. Mind you, if we don’t uncover what students are thinking while learning, they may be running down the wrong path. OK, so we need ways to make student thinking visible. Seeing their thinking is important, but we also need to create the time and space for teachers to absorb, reflect, and act on what their students thinking reveals. This workshop shares strategies both for making student thinking visible and for creating time and space for teachers to meaningfully act on what they learn about what’s going on behind their eyes.
Leading Change v1
“If you really want to understand something, try changing it.” - Kurt Lewin
As the Director of Learning for a school division made up of 18 schools, my job is to help lead the largest change initiative ever undertaken in our school community. One of the most important, difficult, messy things any school leader does is lead change. While we can learn from the change leadership of others, copying their work most often leads to failure. Success is more likely to come from adapting others work to our own context. In this workshop I share the journey we’ve undertaken collectively in our schools; how we developed a shared vision, cultivated collaborative cultures, maintained a focus on deep learning, and wrestle with the nuances of accountability. Informed by the latest research on change management in education, we also model strategies for fostering deep learning conversations in your schools. We’ll engage in some deeper learning conversations together and take back a wealth of ideas you can adapt to your own context. Developing collaborative cultures is careful and precise work that has profound impact when carried out well. So how do you do that? Come, let’s learn together. Good people are important, but good cultures are moreso.
Providing Permission To Wonder v2.1
In a world where knowledge is more a verb than a noun how do we foster deep learning in our students? Good questions cause thinking. Unfortunately, many of the questions regularly asked in classrooms focus on knowledge as a noun. This presentation will explore inquiry as a pedagogical stance and the effective use of thinking and learning tools in the classroom. We will work together to model teaching practices that lead to students co-constructing a networked (real world) rather than hierarchical (artificial) understanding of their world regardless of grade level or discipline.
Participants will leave this workshop with a toolkit of research based questioning and thinking strategies they can begin using with their students tomorrow.
Things That Suck About Digital Citizenship v1
The document is a presentation about digital citizenship given by Darren Kuropatwa at the Building Learning Communities Conference in Boston, MA in July 2017. It discusses the importance of digital citizenship and responding to adversity with persistent kindness. It provides examples of digital citizenship issues and scenarios for discussion. It encourages participants to think about their own digital footprint and how to be good digital citizens.
Digital Storytelling for Deeper Learning v1
Presented at the Riding the Wave Conference in Gimli, Manitoba. May 2017.
In two words, you remember the whole story: glass slipper, sour grapes, cold porridge. You remember more than facts, you recall relationships & deeper connections between characters. Some of the powerful ways we leverage digital for deeper learning includes challenging sources of information (fake news), exploring bias (developing empathy through multiple perspectives), and creating powerful feedback loops that foster deeper learning.
Powerful narratives, in a word or two, bring to mind a wealth of ideas & relationships; more than just facts. How can we find stories that make our teaching sticky and help kids find, and more importantly tell, stories that make learning stick? This workshop will equip teachers with the skills & knowledge to foster deeper learning across the curriculum by intentionally leveraging digital tools to foster deeper learning.
Tales of Learning and the Gifts of Footprints v4.2
This document appears to be a presentation about digital learning and storytelling. It discusses shifting from compliance to care, private to public learning, and consumer to participatory models. It addresses what digital storytellers look like and principles of learning including starting where students are, learning being done by and for students, students talking about learning, having learning targets, and feedback. It encourages generosity, sharing tales of learning, and giving the gifts of footprints.
The Fourth Screen v4.2
Presented at the Richmond District Conference, Feb 2017.
A series of stories woven together to start a conversation with middle and high school students, teachers, and parents about living our lives on and offline (on The Fourth Screen) more thoughtfully.
This talk focuses primarily on the ideas of Empathy, Empowerment & Persistent Kindness and shares resources teachers can use to lead these sorts of conversations with their own students.
Making Student Thinking Visible v4
Slides to support a master class on making student thinking visible through practical hands-on activities and structured around Dylan Wiliam's work on formative assessment and active learning. Held at the BYTE Conference 2017 in Portage la Prairie, Manitoba.
Learning is at BYTE 2017
A group of educators from the BYTE Conference 2017 (Build Your Teaching Experience) share their ideas about learning as a series of visual metaphors they found on their phones.
Leveraging Digital for Deeper Learning
Slides to support a Keynote presentation to Early Years and Middle Years teachers in Hanover School Division on 3 February 2017.
We Learn Through Stories at PRIZMAH17
The document discusses storytelling and how it can be used as a tool for learning. It suggests that storytelling allows students to think in metaphors and learn through stories. It provides examples of how digital tools like QR codes and apps can be used to incorporate storytelling into the classroom. It also outlines some rules of thumb for using storytelling, such as personalizing tasks to students' experiences, collaborating on group projects, and getting feedback from both inside and outside the classroom.
Providing Permission to Wonder v3
In a world where knowledge is more a verb than a noun how do we foster deep learning in our students? Good questions cause thinking. Unfortunately, many of the questions regularly asked in classrooms focus on knowledge as a noun. This presentation will explore the effective use of thinking and learning tools in the classroom. We will work together to model teaching practices that lead to students co-constructing a networked (real world) rather than hierarchical (artificial) understanding of their world regardless of grade level or discipline.
Participants leave this workshop with a toolkit of research based questioning and thinking strategies they can begin using with their students tomorrow.
The Fourth Screen v4.1
This document contains multiple sections on topics related to technology and its impact on society, including how the internet allows information to be easily shared but also persist indefinitely, issues around online privacy and bullying, and ways for parents to support their children's safe and responsible internet use. The document advocates for empowering youth and promoting kindness both online and off.
Making Student Thinking Visible v3.7
Slides to support a master class on making student thinking visible through practical hands-on activities and structured around Dylan Wiliam's work on formative assessment and active learning.
Learning is at AUHSD
A group of educators from the Anderson Union High School & Redding School Districts and share their ideas about learning as a series of visual metaphors.
Providing Permission to Wonder v2
In a world where knowledge is more a verb than a noun how do we foster deep learning in our students? Good questions cause thinking. Unfortunately, many of the questions regularly asked in classrooms focus on knowledge as a noun. This presentation will explore the effective use of thinking and learning tools in the classroom. We will work together to model teaching practices that lead to students co-constructing a networked (real world) rather than hierarchical (artificial) understanding of their world regardless of grade level or discipline.
Participants leave this workshop with a toolkit of research based questioning and thinking strategies they can begin using with their students tomorrow.
The Fourth Screen v4
This document contains a collection of images, quotes, and short passages on topics related to online communities, sharing, and empowerment through technology. The snippets discuss how the internet allows information to be easily shared, encourages learning, and can help empower victims of bullying. The overarching theme is about the positive impact community and connection through online platforms can provide.
Learning is at BLC16
A group of educators at the Building Learning Communities Conference share their ideas about learning as a series of visual metaphors.
We Learn Through Stories v4 (master class)
Slides to support a master class at the Building Learning Communities Conference in Boston, MA. 18 July 2016.
How can we make learning sticky using powerful storytelling frameworks that tap into peoples' emotions? How do we involve all students in creating digital content that doesn't also create hours of content for teachers to assess? This interactive session will showcase Digital Storytelling activities teachers can use in class tomorrow! Document student learning & foster reflective ways for students to share their learning. 1st: we play! Then we'll discuss how to practically adapt these ideas, make them your own, and figure out what sort of infrastructure needs to be in place to support these kinds of powerful learning experiences. We’ll learn how to exercise your students' & your own creativity muscles and share simple strategies for collecting & publishing student work.
Deep Learning Design: the middle ring
Slides in support of a professional learning day for administrators in Hanover School Division focused on developing a common language & understanding of Deep Learning Design.
More from Darren Kuropatwa (20)
Tales of Learning and the Gifts of Footprints v4.2
Tales of Learning and the Gifts of Footprints v4.2
Recently uploaded
HCL Notes and Domino License Cost Reduction in the World of DLAU
Webinar Recording: https://www.panagenda.com/webinars/hcl-notes-and-domino-license-cost-reduction-in-the-world-of-dlau/
The introduction of DLAU and the CCB & CCX licensing model caused quite a stir in the HCL community. As a Notes and Domino customer, you may have faced challenges with unexpected user counts and license costs. You probably have questions on how this new licensing approach works and how to benefit from it. Most importantly, you likely have budget constraints and want to save money where possible. Don’t worry, we can help with all of this!
We’ll show you how to fix common misconfigurations that cause higher-than-expected user counts, and how to identify accounts which you can deactivate to save money. There are also frequent patterns that can cause unnecessary cost, like using a person document instead of a mail-in for shared mailboxes. We’ll provide examples and solutions for those as well. And naturally we’ll explain the new licensing model.
Join HCL Ambassador Marc Thomas in this webinar with a special guest appearance from Franz Walder. It will give you the tools and know-how to stay on top of what is going on with Domino licensing. You will be able lower your cost through an optimized configuration and keep it low going forward.
These topics will be covered
- Reducing license cost by finding and fixing misconfigurations and superfluous accounts
- How do CCB and CCX licenses really work?
- Understanding the DLAU tool and how to best utilize it
- Tips for common problem areas, like team mailboxes, functional/test users, etc
- Practical examples and best practices to implement right away
Northern Engraving | Nameplate Manufacturing Process - 2024
Manufacturing custom quality metal nameplates and badges involves several standard operations. Processes include sheet prep, lithography, screening, coating, punch press and inspection. All decoration is completed in the flat sheet with adhesive and tooling operations following. The possibilities for creating unique durable nameplates are endless. How will you create your brand identity? We can help!
Artificial Intelligence and Electronic Warfare
Artificial Intelligence and Electronic WarfarePapadakis K.-Cyber-Information Warfare Analyst & Cyber Defense/Security Consultant-Hellenic MoD
AI & Electronic WarfareEssentials of Automations: Exploring Attributes & Automation Parameters
Building automations in FME Flow can save time, money, and help businesses scale by eliminating data silos and providing data to stakeholders in real-time. One essential component to orchestrating complex automations is the use of attributes & automation parameters (both formerly known as “keys”). In fact, it’s unlikely you’ll ever build an Automation without using these components, but what exactly are they?
Attributes & automation parameters enable the automation author to pass data values from one automation component to the next. During this webinar, our FME Flow Specialists will cover leveraging the three types of these output attributes & parameters in FME Flow: Event, Custom, and Automation. As a bonus, they’ll also be making use of the Split-Merge Block functionality.
You’ll leave this webinar with a better understanding of how to maximize the potential of automations by making use of attributes & automation parameters, with the ultimate goal of setting your enterprise integration workflows up on autopilot.
Main news related to the CCS TSI 2023 (2023/1695)
An English 🇬🇧 translation of a presentation to the speech I gave about the main changes brought by CCS TSI 2023 at the biggest Czech conference on Communications and signalling systems on Railways, which was held in Clarion Hotel Olomouc from 7th to 9th November 2023 (konferenceszt.cz). Attended by around 500 participants and 200 on-line followers.
The original Czech 🇨🇿 version of the presentation can be found here: https://www.slideshare.net/slideshow/hlavni-novinky-souvisejici-s-ccs-tsi-2023-2023-1695/269688092 .
The videorecording (in Czech) from the presentation is available here: https://youtu.be/WzjJWm4IyPk?si=SImb06tuXGb30BEH .
Dandelion Hashtable: beyond billion requests per second on a commodity server
This slide deck presents DLHT, a concurrent in-memory hashtable. Despite efforts to optimize hashtables, that go as far as sacrificing core functionality, state-of-the-art designs still incur multiple memory accesses per request and block request processing in three cases. First, most hashtables block while waiting for data to be retrieved from memory. Second, open-addressing designs, which represent the current state-of-the-art, either cannot free index slots on deletes or must block all requests to do so. Third, index resizes block every request until all objects are copied to the new index. Defying folklore wisdom, DLHT forgoes open-addressing and adopts a fully-featured and memory-aware closed-addressing design based on bounded cache-line-chaining. This design offers lock-free index operations and deletes that free slots instantly, (2) completes most requests with a single memory access, (3) utilizes software prefetching to hide memory latencies, and (4) employs a novel non-blocking and parallel resizing. In a commodity server and a memory-resident workload, DLHT surpasses 1.6B requests per second and provides 3.5x (12x) the throughput of the state-of-the-art closed-addressing (open-addressing) resizable hashtable on Gets (Deletes).
Columbus Data & Analytics Wednesdays - June 2024
Columbus Data & Analytics Wednesdays, June 2024 with Maria Copot 20
AppSec PNW: Android and iOS Application Security with MobSF
Mobile Security Framework - MobSF is a free and open source automated mobile application security testing environment designed to help security engineers, researchers, developers, and penetration testers to identify security vulnerabilities, malicious behaviours and privacy concerns in mobile applications using static and dynamic analysis. It supports all the popular mobile application binaries and source code formats built for Android and iOS devices. In addition to automated security assessment, it also offers an interactive testing environment to build and execute scenario based test/fuzz cases against the application.
This talk covers:
Using MobSF for static analysis of mobile applications.
Interactive dynamic security assessment of Android and iOS applications.
Solving Mobile app CTF challenges.
Reverse engineering and runtime analysis of Mobile malware.
How to shift left and integrate MobSF/mobsfscan SAST and DAST in your build pipeline.
June Patch Tuesday
Ivanti’s Patch Tuesday breakdown goes beyond patching your applications and brings you the intelligence and guidance needed to prioritize where to focus your attention first. Catch early analysis on our Ivanti blog, then join industry expert Chris Goettl for the Patch Tuesday Webinar Event. There we’ll do a deep dive into each of the bulletins and give guidance on the risks associated with the newly-identified vulnerabilities.
Apps Break Data
How information systems are built or acquired puts information, which is what they should be about, in a secondary place. Our language adapted accordingly, and we no longer talk about information systems but applications. Applications evolved in a way to break data into diverse fragments, tightly coupled with applications and expensive to integrate. The result is technical debt, which is re-paid by taking even bigger "loans", resulting in an ever-increasing technical debt. Software engineering and procurement practices work in sync with market forces to maintain this trend. This talk demonstrates how natural this situation is. The question is: can something be done to reverse the trend?
The Microsoft 365 Migration Tutorial For Beginner.pptx
This presentation will help you understand the power of Microsoft 365. However, we have mentioned every productivity app included in Office 365. Additionally, we have suggested the migration situation related to Office 365 and how we can help you.
You can also read: https://www.systoolsgroup.com/updates/office-365-tenant-to-tenant-migration-step-by-step-complete-guide/
Fueling AI with Great Data with Airbyte Webinar
This talk will focus on how to collect data from a variety of sources, leveraging this data for RAG and other GenAI use cases, and finally charting your course to productionalization.
"Frontline Battles with DDoS: Best practices and Lessons Learned", Igor Ivaniuk
At this talk we will discuss DDoS protection tools and best practices, discuss network architectures and what AWS has to offer. Also, we will look into one of the largest DDoS attacks on Ukrainian infrastructure that happened in February 2022. We'll see, what techniques helped to keep the web resources available for Ukrainians and how AWS improved DDoS protection for all customers based on Ukraine experience
Mutation Testing for Task-Oriented Chatbots
Conversational agents, or chatbots, are increasingly used to access all sorts of services using natural language. While open-domain chatbots - like ChatGPT - can converse on any topic, task-oriented chatbots - the focus of this paper - are designed for specific tasks, like booking a flight, obtaining customer support, or setting an appointment. Like any other software, task-oriented chatbots need to be properly tested, usually by defining and executing test scenarios (i.e., sequences of user-chatbot interactions). However, there is currently a lack of methods to quantify the completeness and strength of such test scenarios, which can lead to low-quality tests, and hence to buggy chatbots.
To fill this gap, we propose adapting mutation testing (MuT) for task-oriented chatbots. To this end, we introduce a set of mutation operators that emulate faults in chatbot designs, an architecture that enables MuT on chatbots built using heterogeneous technologies, and a practical realisation as an Eclipse plugin. Moreover, we evaluate the applicability, effectiveness and efficiency of our approach on open-source chatbots, with promising results.
Introduction of Cybersecurity with OSS at Code Europe 2024
I develop the Ruby programming language, RubyGems, and Bundler, which are package managers for Ruby. Today, I will introduce how to enhance the security of your application using open-source software (OSS) examples from Ruby and RubyGems.
The first topic is CVE (Common Vulnerabilities and Exposures). I have published CVEs many times. But what exactly is a CVE? I'll provide a basic understanding of CVEs and explain how to detect and handle vulnerabilities in OSS.
Next, let's discuss package managers. Package managers play a critical role in the OSS ecosystem. I'll explain how to manage library dependencies in your application.
I'll share insights into how the Ruby and RubyGems core team works to keep our ecosystem safe. By the end of this talk, you'll have a better understanding of how to safeguard your code.
Skybuffer SAM4U tool for SAP license adoption
Manage and optimize your license adoption and consumption with SAM4U, an SAP free customer software asset management tool.
SAM4U, an SAP complimentary software asset management tool for customers, delivers a detailed and well-structured overview of license inventory and usage with a user-friendly interface. We offer a hosted, cost-effective, and performance-optimized SAM4U setup in the Skybuffer Cloud environment. You retain ownership of the system and data, while we manage the ABAP 7.58 infrastructure, ensuring fixed Total Cost of Ownership (TCO) and exceptional services through the SAP Fiori interface.
How to Interpret Trends in the Kalyan Rajdhani Mix Chart.pdf
A Mix Chart displays historical data of numbers in a graphical or tabular form. The Kalyan Rajdhani Mix Chart specifically shows the results of a sequence of numbers over different periods.
Monitoring and Managing Anomaly Detection on OpenShift.pdf
Monitoring and Managing Anomaly Detection on OpenShift
Overview
Dive into the world of anomaly detection on edge devices with our comprehensive hands-on tutorial. This SlideShare presentation will guide you through the entire process, from data collection and model training to edge deployment and real-time monitoring. Perfect for those looking to implement robust anomaly detection systems on resource-constrained IoT/edge devices.
Key Topics Covered
1. Introduction to Anomaly Detection
- Understand the fundamentals of anomaly detection and its importance in identifying unusual behavior or failures in systems.
2. Understanding Edge (IoT)
- Learn about edge computing and IoT, and how they enable real-time data processing and decision-making at the source.
3. What is ArgoCD?
- Discover ArgoCD, a declarative, GitOps continuous delivery tool for Kubernetes, and its role in deploying applications on edge devices.
4. Deployment Using ArgoCD for Edge Devices
- Step-by-step guide on deploying anomaly detection models on edge devices using ArgoCD.
5. Introduction to Apache Kafka and S3
- Explore Apache Kafka for real-time data streaming and Amazon S3 for scalable storage solutions.
6. Viewing Kafka Messages in the Data Lake
- Learn how to view and analyze Kafka messages stored in a data lake for better insights.
7. What is Prometheus?
- Get to know Prometheus, an open-source monitoring and alerting toolkit, and its application in monitoring edge devices.
8. Monitoring Application Metrics with Prometheus
- Detailed instructions on setting up Prometheus to monitor the performance and health of your anomaly detection system.
9. What is Camel K?
- Introduction to Camel K, a lightweight integration framework built on Apache Camel, designed for Kubernetes.
10. Configuring Camel K Integrations for Data Pipelines
- Learn how to configure Camel K for seamless data pipeline integrations in your anomaly detection workflow.
11. What is a Jupyter Notebook?
- Overview of Jupyter Notebooks, an open-source web application for creating and sharing documents with live code, equations, visualizations, and narrative text.
12. Jupyter Notebooks with Code Examples
- Hands-on examples and code snippets in Jupyter Notebooks to help you implement and test anomaly detection models.
Recently uploaded (20)
HCL Notes and Domino License Cost Reduction in the World of DLAU
HCL Notes and Domino License Cost Reduction in the World of DLAU
Northern Engraving | Nameplate Manufacturing Process - 2024
Northern Engraving | Nameplate Manufacturing Process - 2024
9 CEO's who hit $100m ARR Share Their Top Growth Tactics Nathan Latka, Founde...
9 CEO's who hit $100m ARR Share Their Top Growth Tactics Nathan Latka, Founde...
Essentials of Automations: Exploring Attributes & Automation Parameters
Essentials of Automations: Exploring Attributes & Automation Parameters
Dandelion Hashtable: beyond billion requests per second on a commodity server
Dandelion Hashtable: beyond billion requests per second on a commodity server
AppSec PNW: Android and iOS Application Security with MobSF
AppSec PNW: Android and iOS Application Security with MobSF
The Microsoft 365 Migration Tutorial For Beginner.pptx
The Microsoft 365 Migration Tutorial For Beginner.pptx
"Frontline Battles with DDoS: Best practices and Lessons Learned", Igor Ivaniuk
"Frontline Battles with DDoS: Best practices and Lessons Learned", Igor Ivaniuk
Introduction of Cybersecurity with OSS at Code Europe 2024
Introduction of Cybersecurity with OSS at Code Europe 2024
Overcoming the PLG Trap: Lessons from Canva's Head of Sales & Head of EMEA Da...
Overcoming the PLG Trap: Lessons from Canva's Head of Sales & Head of EMEA Da...
How to Interpret Trends in the Kalyan Rajdhani Mix Chart.pdf
How to Interpret Trends in the Kalyan Rajdhani Mix Chart.pdf
Monitoring and Managing Anomaly Detection on OpenShift.pdf
Monitoring and Managing Anomaly Detection on OpenShift.pdf
Applied Math 40S June 3, 2008
- 1. Sequences are everywhere ... Photo source: Stone throw sequence
- 2. 3, 6, 12, 24, , ,
- 3. Geometric sequences on the calculator ...
- 4. Geometic Sequence: (i) Recursive Definition: An ordered list of numbers generated by continuously multiplying a value (the common ratio) with a given first term. (ii) Implicit Definition: An ordered list of numbers where each number in the list is generated by an exponential equation. Common Ratio (r): (i) The number that is repeatedly multiplied to successive terms in a geometic sequence. (ii) From the implicit definition, r is the base of the exponential function.
- 5. To Find The Common Ratio r is the common ratio tn is an arbitrary term in the sequence t(n - 1) is the term immediately before tn in the sequence To Find the nth Term In a Geometic Sequence tn is the nth term a is the first term n is the quot;rankquot; of the nth term in the sequence r is the common ratio
- 6. Once we know the pattern of a sequence, we can find any term of the sequence. Use your calculator to check your answers. Find the 110th term of: 5, 8, 11, 14, ... U(110)= 332 Find the 21st term of: 3, 6, 12, 24, ...
- 7. Find the 27th term of: 1, 1, 2, 3, 5, 8, ...
- 8. Which term in the sequence: 2, 5, 11, 23, 47, ... is 1535? HOMEWORK
- 9. My cat is sick. His name is Little John and he has a cold. The vet has given him some medicine. Each day he gets a pill with 35 mg of medicine. His body eliminates 25% of the medicine each day and then he gets another pill. HOMEWORK (a) How much medicine will be in his body in 5 days? (b) Will the amount of medicine in his body stabilize? How many days will it take and how much medicine will be in his body?