Arithmetic series problems
•Download as PPS, PDF•
1 like•390 views
This document provides 3 arithmetic sequence problems: 1) Find the 25th term of the sequence 3, 7, 11, 15, 19,... 2) The second term is 24 and fifth term is 3, find the first term and common difference. 3) Give the 5 term sequence if the first term is 8 and last term is 100.
Report
Share
Report
Share
Recommended
Visualizing the pascal’s triangle
The various visual and numeric patterns, seen in the Pascal's Triangle. Includes a brief introduction and help on constructing the Pascal's Triangle. Binomial Theorem is not discussed. Though, the n C r formula has been described. Hope you enjoy it !
Patterns sequences
The document discusses patterns and sequences. It introduces the Fibonacci sequence as an example of a numerical pattern found in nature. The Fibonacci sequence begins with 1, 1, 2, 3, 5, 8, etc where each number is the sum of the previous two. Leonardo Fibonacci first introduced this sequence to Western mathematics to model the reproductive growth of rabbits. The ratio of consecutive Fibonacci numbers approaches the golden ratio of approximately 1.618, which appears throughout nature, art, architecture and design.
7.5 notes[1]
The document discusses different methods for solving linear systems, including graphing, substitution, addition, subtraction, and multiplication. It explains that a linear system can have one solution (consistent independent), no solution (inconsistent), or infinitely many solutions (consistent dependent), depending on whether the lines are parallel, intersect at a single point, or are the same line. Examples are provided to illustrate determining the number of solutions based on the slopes and y-intercepts when the equations are in slope-intercept form.
Graph of a linear equation practice problems
Students plot solutions to linear equations 3x + y = -8 and x - 5y = 11 on a coordinate plane to identify that the graphs are straight lines. They also explain that the graph of -x + 2y = 3 is a straight line based on the linear nature of the equation. Finally, students are challenged to come up with a non-linear equation and plot its solutions to show a non-linear graph.
Algebra presentation
presentation of algebra
grade 12 mathematics class
main focus is on
1.quadratic equation
2.completing the square
3.factorazing
Patterns number and geometric
The document defines and provides examples of number patterns and geometric patterns. Number patterns are sequences of numbers that follow a specific rule, such as skip counting or repeating numbers. Geometric patterns use shapes or letters that repeat according to a set rule. The document includes practice questions that ask the reader to identify examples as number patterns or geometric patterns. It provides feedback on the answers.
Math
This document discusses different types of math equations and how to solve them. It provides examples of slope-intercept form equations like y=2x-5 and explains how to find the slope and y-intercept. It also discusses how to solve linear inequalities by determining if the line is solid or dashed and shading above or below. The document explains point-slope form as y-y1=m(x-x1) and provides an example of using point-slope form with a given slope and point. Key aspects covered include using tables to solve equations, the three steps to solve linear inequalities, and plugging values into the point-slope formula.
Patterns and sequences
The document discusses arithmetic and geometric sequences and their key characteristics. An arithmetic sequence has a common difference, while a geometric sequence has a common ratio. Several example sequences are provided and the reader is asked to identify whether they are arithmetic, geometric, or neither and determine their common differences or ratios.
Recommended
Visualizing the pascal’s triangle
The various visual and numeric patterns, seen in the Pascal's Triangle. Includes a brief introduction and help on constructing the Pascal's Triangle. Binomial Theorem is not discussed. Though, the n C r formula has been described. Hope you enjoy it !
Patterns sequences
The document discusses patterns and sequences. It introduces the Fibonacci sequence as an example of a numerical pattern found in nature. The Fibonacci sequence begins with 1, 1, 2, 3, 5, 8, etc where each number is the sum of the previous two. Leonardo Fibonacci first introduced this sequence to Western mathematics to model the reproductive growth of rabbits. The ratio of consecutive Fibonacci numbers approaches the golden ratio of approximately 1.618, which appears throughout nature, art, architecture and design.
7.5 notes[1]
The document discusses different methods for solving linear systems, including graphing, substitution, addition, subtraction, and multiplication. It explains that a linear system can have one solution (consistent independent), no solution (inconsistent), or infinitely many solutions (consistent dependent), depending on whether the lines are parallel, intersect at a single point, or are the same line. Examples are provided to illustrate determining the number of solutions based on the slopes and y-intercepts when the equations are in slope-intercept form.
Graph of a linear equation practice problems
Students plot solutions to linear equations 3x + y = -8 and x - 5y = 11 on a coordinate plane to identify that the graphs are straight lines. They also explain that the graph of -x + 2y = 3 is a straight line based on the linear nature of the equation. Finally, students are challenged to come up with a non-linear equation and plot its solutions to show a non-linear graph.
Algebra presentation
presentation of algebra
grade 12 mathematics class
main focus is on
1.quadratic equation
2.completing the square
3.factorazing
Patterns number and geometric
The document defines and provides examples of number patterns and geometric patterns. Number patterns are sequences of numbers that follow a specific rule, such as skip counting or repeating numbers. Geometric patterns use shapes or letters that repeat according to a set rule. The document includes practice questions that ask the reader to identify examples as number patterns or geometric patterns. It provides feedback on the answers.
Math
This document discusses different types of math equations and how to solve them. It provides examples of slope-intercept form equations like y=2x-5 and explains how to find the slope and y-intercept. It also discusses how to solve linear inequalities by determining if the line is solid or dashed and shading above or below. The document explains point-slope form as y-y1=m(x-x1) and provides an example of using point-slope form with a given slope and point. Key aspects covered include using tables to solve equations, the three steps to solve linear inequalities, and plugging values into the point-slope formula.
Patterns and sequences
The document discusses arithmetic and geometric sequences and their key characteristics. An arithmetic sequence has a common difference, while a geometric sequence has a common ratio. Several example sequences are provided and the reader is asked to identify whether they are arithmetic, geometric, or neither and determine their common differences or ratios.
Pascal- triangle- 134929855
The document discusses Pascal's triangle, named after Blaise Pascal. It describes how to construct the triangle by placing numbers in a triangular pattern where each number is the sum of the two numbers above it. Some key properties mentioned include the triangle's symmetry, relationships between diagonals and powers of numbers, and how it can be used to show combinations and coefficients in binomial expansions.
Treasure hunt sequences1296542856
The document describes a mathematical treasure hunt activity involving sequences. Students are given clues about various mathematical sequences and must determine subsequent terms. The correct sequence of answers is: 47, 15, 2, 12, 1, 3, 9, 27, 81, 64, 11, 4, 54, 85, 5, 16.
Qa08 missing numbers
This document contains solutions to several missing number puzzles. It identifies trends in series and matrices to determine missing values. The trends include squares of position numbers, number of 1's in binary representation, sums of digits in previous numbers, and relationships between column values based on differences or sums of row values.
Algebra solving no animations
This document provides notes on solving various types of equations, including linear equations, linear inequations, and quadratic equations. For linear equations, it describes the technique of isolating the variable by moving all x terms to one side and numbers to the other. For linear inequations, the same process is used but the inequality sign must change if dividing or multiplying by a negative number. For factorizable quadratic equations, the technique is to rearrange to set the equation equal to zero, then factorize and set each factor equal to zero to solve for the roots. As a last resort, the quadratic formula can be used if factors cannot be found.
4.5 graph using slope int form - day 3
The document discusses graphing linear equations on the same coordinate plane and identifying parallel lines based on their slopes. It provides examples of graphing equations such as Y = 1/2x + 3, Y = 0.5x - 2, and Y = 1/2x and identifying that they are parallel since they have the same slope of 1/2. It also discusses graphing equations like 3y = -9x - 5 and 12x + 4y = 1, and that to graph lines on a calculator the equations need to be solved for y. The document provides an example of a parallel equation to y = 2x - 6 and asks the reader to graph cost functions for children and adults violin lessons on the
Skill31 b graphinglinesandformsof equations
This lesson teaches how to graph equations in y = mx + b form and also teaches three forms of the equation of a line.
Thurs. 27th
1. The document is notes from a math class that covered reciprocals from 1-9 and odd/even pages. It includes examples of algebra problems involving fractions such as simplifying fractional expressions and solving equations with fractions.
Square root lecture
This document introduces square roots by defining what they are, providing examples of perfect square roots from 1 to 25, and discussing principal square roots and related vocabulary. It also covers estimating square roots and using a number line to visualize the relationship between consecutive integers and their square roots.
Math IA
This document presents the analysis of a pattern of fractions known as LASCAP's Fractions. [1] The pattern is split into the numerators and denominators which both follow quadratic relationships. [2] Equations are derived to express the numerators and denominators as functions of the row and element numbers. [3] Using these equations, additional rows are generated, verifying that the equations accurately predict the entire recurring sequence.
Lecture 4-cs648 Randomized Algorithms
This document summarizes key points from a lecture on randomized algorithms:
1. It introduces linearity of expectation as the most important tool for analyzing randomized algorithms.
2. It discusses random variables and expected value, and gives examples of analyzing the number of empty bins from balls being placed in bins randomly and the number of comparisons in randomized quicksort.
3. It poses the main questions these examples aim to answer using linearity of expectation and introduces this principle as well as where and how it can be used.
Unit 3 review
This document contains multiple examples of proportional relationships represented by equations and graphs. It includes examples of using unit rates to determine speed and distance from time and distance data. It also includes examples of writing and graphing linear equations to model constant rates like pages read over time. The document asks students to interpret points as solutions to linear equations, find and graph solutions, identify the shape of a graph from given solutions, and graph linear equations in various forms like y=c and x=c.
Pascal's triangle
Pascal's Triangle is a triangular array of the binomial coefficients formed by taking powers of 11. It was named after French mathematician Blaise Pascal but had been discovered earlier by Chinese and Indian mathematicians. The triangle exhibits several interesting numerical and geometric properties including symmetry, doubling of row sums, generation of the Fibonacci sequence and triangular, tetrahedral and counting numbers along diagonals. It can also be used to calculate probabilities of outcomes from events like coin tosses.
Number sequences and patterns
This document defines and provides examples of different types of number sequences, including arithmetic, geometric, square number, triangular, and Fibonacci sequences. Arithmetic sequences have a constant difference between consecutive terms, while geometric sequences multiply each term by a fixed ratio. Square number sequences list the squares of consecutive integers. Triangular sequences count the number of dots forming triangular patterns. The Fibonacci sequence adds the two prior terms to generate the next term, starting with 0 and 1.
Number Triangles (Triangular Arrays of Numbers): Pascal's Triangle, Others, a...
The document presents an overview of various number triangles that have been discovered throughout history, including Pascal's triangle, Leibniz's harmonic triangle, Bernoulli's triangle, and others. It then describes a new number triangle generated by the function ΔΠ(n) = ∏[mi(n + 1 − mi)]n/n!, and shows that it is linked to Pascal's triangle and tetrahedral numbers. The document provides figures to illustrate several of the different number triangles.
Theory of Equation
This document discusses various methods for solving polynomial equations, including algebraic long division, synthetic division, completing the square, factorization, and the quadratic formula. It also covers key results about polynomial equations like the remainder theorem, relationships between roots and coefficients, and transformations of equations. Specifically, it defines reciprocal equations as those where taking the reciprocal of every root also yields a root, and notes properties of odd and even degree reciprocal equations. It also outlines how transformations like shifting (f(x+h)), diminishing (f(x-h)), and scaling (f(x/k)) affect the roots of an equation.
Holt square and square roots pp
This document discusses squares and square roots. It begins with examples of simplifying squares and finding square roots. It then explains that the square root of a number is the inverse of squaring the number, and that every positive number has two square roots - one positive and one negative. It provides examples of evaluating expressions involving square roots. It concludes with a lesson quiz asking students to find square roots of numbers and evaluate expressions involving square roots.
Rs solving graphingquadraticequation
The document discusses quadratic equations and functions. It defines a quadratic equation as one where the variable is squared, and explains that the graph of a quadratic function is a parabola with an open U-shape. It outlines the standard form of a quadratic equation as ax2 + bx + c = 0 and describes how to find the solutions/roots by setting it equal to zero. Methods for solving quadratic equations include using the quadratic formula, factoring, or completing the square. The key steps to graph a quadratic equation are finding the standard form, solutions/roots, and y-intercept.
Square and sq root
This document discusses squares and square roots. It defines what it means for a number to be squared or to find the square root. It explains that to square a number is to multiply it by itself, and the square root of a number is another number that when multiplied by itself gives the original number. The document provides examples of evaluating squares and square roots. It distinguishes between perfect squares, where the square root can be found exactly, and non-perfect squares, where the square root must be approximated.
proving two-tangent theorem using geogebra.docx
This document presents the two-tangent theorem, which states that the two tangent segments to a circle from a point on the exterior are congruent and determine congruent angles with the segment from the exterior point to the center. The document provides background definitions, a general construction procedure using Geogebra in 9 steps, and a screenshot proving the theorem dynamically using Geogebra.
Grade 9 2nd Pt final.docx
1. This document contains a 50-question multiple choice test on variation equations and concepts. Questions test understanding of direct, inverse, and joint variation, as well as applying formulas to word problems involving variations.
2. Key concepts covered include direct and inverse variation, finding constants of variation, and applying variation equations to physics concepts like Boyle's law, Charles' law, and Newton's law of universal gravitation.
3. Questions range from identifying variation equations to applying equations to solve for unknown variables in word problems involving variations.
intended ....pdf
The document outlines the intended, implemented, and achieved curriculum for a lesson on polygons. The intended curriculum lists the lesson objectives for students to define polygons, identify their parts, classify figures as polygons or non-polygons, identify different types of polygons and their properties, and identify common polygon names by number of sides. The implemented curriculum describes activities used, including recitation, games, charts, and tables. The achieved curriculum indicates students met the objectives by classifying polygons, completing classification charts, and structural analysis tables.
More Related Content
What's hot
Pascal- triangle- 134929855
The document discusses Pascal's triangle, named after Blaise Pascal. It describes how to construct the triangle by placing numbers in a triangular pattern where each number is the sum of the two numbers above it. Some key properties mentioned include the triangle's symmetry, relationships between diagonals and powers of numbers, and how it can be used to show combinations and coefficients in binomial expansions.
Treasure hunt sequences1296542856
The document describes a mathematical treasure hunt activity involving sequences. Students are given clues about various mathematical sequences and must determine subsequent terms. The correct sequence of answers is: 47, 15, 2, 12, 1, 3, 9, 27, 81, 64, 11, 4, 54, 85, 5, 16.
Qa08 missing numbers
This document contains solutions to several missing number puzzles. It identifies trends in series and matrices to determine missing values. The trends include squares of position numbers, number of 1's in binary representation, sums of digits in previous numbers, and relationships between column values based on differences or sums of row values.
Algebra solving no animations
This document provides notes on solving various types of equations, including linear equations, linear inequations, and quadratic equations. For linear equations, it describes the technique of isolating the variable by moving all x terms to one side and numbers to the other. For linear inequations, the same process is used but the inequality sign must change if dividing or multiplying by a negative number. For factorizable quadratic equations, the technique is to rearrange to set the equation equal to zero, then factorize and set each factor equal to zero to solve for the roots. As a last resort, the quadratic formula can be used if factors cannot be found.
4.5 graph using slope int form - day 3
The document discusses graphing linear equations on the same coordinate plane and identifying parallel lines based on their slopes. It provides examples of graphing equations such as Y = 1/2x + 3, Y = 0.5x - 2, and Y = 1/2x and identifying that they are parallel since they have the same slope of 1/2. It also discusses graphing equations like 3y = -9x - 5 and 12x + 4y = 1, and that to graph lines on a calculator the equations need to be solved for y. The document provides an example of a parallel equation to y = 2x - 6 and asks the reader to graph cost functions for children and adults violin lessons on the
Skill31 b graphinglinesandformsof equations
This lesson teaches how to graph equations in y = mx + b form and also teaches three forms of the equation of a line.
Thurs. 27th
1. The document is notes from a math class that covered reciprocals from 1-9 and odd/even pages. It includes examples of algebra problems involving fractions such as simplifying fractional expressions and solving equations with fractions.
Square root lecture
This document introduces square roots by defining what they are, providing examples of perfect square roots from 1 to 25, and discussing principal square roots and related vocabulary. It also covers estimating square roots and using a number line to visualize the relationship between consecutive integers and their square roots.
Math IA
This document presents the analysis of a pattern of fractions known as LASCAP's Fractions. [1] The pattern is split into the numerators and denominators which both follow quadratic relationships. [2] Equations are derived to express the numerators and denominators as functions of the row and element numbers. [3] Using these equations, additional rows are generated, verifying that the equations accurately predict the entire recurring sequence.
Lecture 4-cs648 Randomized Algorithms
This document summarizes key points from a lecture on randomized algorithms:
1. It introduces linearity of expectation as the most important tool for analyzing randomized algorithms.
2. It discusses random variables and expected value, and gives examples of analyzing the number of empty bins from balls being placed in bins randomly and the number of comparisons in randomized quicksort.
3. It poses the main questions these examples aim to answer using linearity of expectation and introduces this principle as well as where and how it can be used.
Unit 3 review
This document contains multiple examples of proportional relationships represented by equations and graphs. It includes examples of using unit rates to determine speed and distance from time and distance data. It also includes examples of writing and graphing linear equations to model constant rates like pages read over time. The document asks students to interpret points as solutions to linear equations, find and graph solutions, identify the shape of a graph from given solutions, and graph linear equations in various forms like y=c and x=c.
Pascal's triangle
Pascal's Triangle is a triangular array of the binomial coefficients formed by taking powers of 11. It was named after French mathematician Blaise Pascal but had been discovered earlier by Chinese and Indian mathematicians. The triangle exhibits several interesting numerical and geometric properties including symmetry, doubling of row sums, generation of the Fibonacci sequence and triangular, tetrahedral and counting numbers along diagonals. It can also be used to calculate probabilities of outcomes from events like coin tosses.
Number sequences and patterns
This document defines and provides examples of different types of number sequences, including arithmetic, geometric, square number, triangular, and Fibonacci sequences. Arithmetic sequences have a constant difference between consecutive terms, while geometric sequences multiply each term by a fixed ratio. Square number sequences list the squares of consecutive integers. Triangular sequences count the number of dots forming triangular patterns. The Fibonacci sequence adds the two prior terms to generate the next term, starting with 0 and 1.
Number Triangles (Triangular Arrays of Numbers): Pascal's Triangle, Others, a...
The document presents an overview of various number triangles that have been discovered throughout history, including Pascal's triangle, Leibniz's harmonic triangle, Bernoulli's triangle, and others. It then describes a new number triangle generated by the function ΔΠ(n) = ∏[mi(n + 1 − mi)]n/n!, and shows that it is linked to Pascal's triangle and tetrahedral numbers. The document provides figures to illustrate several of the different number triangles.
Theory of Equation
This document discusses various methods for solving polynomial equations, including algebraic long division, synthetic division, completing the square, factorization, and the quadratic formula. It also covers key results about polynomial equations like the remainder theorem, relationships between roots and coefficients, and transformations of equations. Specifically, it defines reciprocal equations as those where taking the reciprocal of every root also yields a root, and notes properties of odd and even degree reciprocal equations. It also outlines how transformations like shifting (f(x+h)), diminishing (f(x-h)), and scaling (f(x/k)) affect the roots of an equation.
Holt square and square roots pp
This document discusses squares and square roots. It begins with examples of simplifying squares and finding square roots. It then explains that the square root of a number is the inverse of squaring the number, and that every positive number has two square roots - one positive and one negative. It provides examples of evaluating expressions involving square roots. It concludes with a lesson quiz asking students to find square roots of numbers and evaluate expressions involving square roots.
Rs solving graphingquadraticequation
The document discusses quadratic equations and functions. It defines a quadratic equation as one where the variable is squared, and explains that the graph of a quadratic function is a parabola with an open U-shape. It outlines the standard form of a quadratic equation as ax2 + bx + c = 0 and describes how to find the solutions/roots by setting it equal to zero. Methods for solving quadratic equations include using the quadratic formula, factoring, or completing the square. The key steps to graph a quadratic equation are finding the standard form, solutions/roots, and y-intercept.
Square and sq root
This document discusses squares and square roots. It defines what it means for a number to be squared or to find the square root. It explains that to square a number is to multiply it by itself, and the square root of a number is another number that when multiplied by itself gives the original number. The document provides examples of evaluating squares and square roots. It distinguishes between perfect squares, where the square root can be found exactly, and non-perfect squares, where the square root must be approximated.
What's hot (18)
Number Triangles (Triangular Arrays of Numbers): Pascal's Triangle, Others, a...
Number Triangles (Triangular Arrays of Numbers): Pascal's Triangle, Others, a...
More from Katherine Bautista
proving two-tangent theorem using geogebra.docx
This document presents the two-tangent theorem, which states that the two tangent segments to a circle from a point on the exterior are congruent and determine congruent angles with the segment from the exterior point to the center. The document provides background definitions, a general construction procedure using Geogebra in 9 steps, and a screenshot proving the theorem dynamically using Geogebra.
Grade 9 2nd Pt final.docx
1. This document contains a 50-question multiple choice test on variation equations and concepts. Questions test understanding of direct, inverse, and joint variation, as well as applying formulas to word problems involving variations.
2. Key concepts covered include direct and inverse variation, finding constants of variation, and applying variation equations to physics concepts like Boyle's law, Charles' law, and Newton's law of universal gravitation.
3. Questions range from identifying variation equations to applying equations to solve for unknown variables in word problems involving variations.
intended ....pdf
The document outlines the intended, implemented, and achieved curriculum for a lesson on polygons. The intended curriculum lists the lesson objectives for students to define polygons, identify their parts, classify figures as polygons or non-polygons, identify different types of polygons and their properties, and identify common polygon names by number of sides. The implemented curriculum describes activities used, including recitation, games, charts, and tables. The achieved curriculum indicates students met the objectives by classifying polygons, completing classification charts, and structural analysis tables.
vertical organization.pdf
This document contains schedules for mathematics classes at PSU Integrated School for grades 7 through 10. It lists the class sizes, times, and topics covered for each grade level. The topics progress from polynomials and triangles in grade 7 to more advanced subjects like statistics, probability, and coordinate geometry in higher grades. Class sizes range from 27 to 46 students and all classes meet for 60 minute periods.
horizontal organization.pdf
The document lists degree programs, courses, course titles, and course codes for various subjects including Biological Science, Personality Development and Values Education, Komunikasyon Sa Akademikong Filipino, World Literature, and Computer Literacy. The degree programs included are BSE, BEE, ABEL, BSIT, BSBA, and IN. The courses appear to be part of the horizontal organization of a university curriculum.
curriculum guide.pdf
The curriculum guide provides essential information for students and teachers. It outlines the core subjects and expected learning outcomes for each grade level. The guide aims to establish a standard of education and ensure students are prepared with the necessary knowledge and skills by the time they graduate.
TYPES OF INSTRUCTONAL MEDIA:TECHNOLOGY.docx
The document categorizes different types of instructional media and technology into two groups: non-projected media such as real objects, models, printed materials and projected media including computer presentations, overhead transparencies, films, and electronic distribution systems. It provides examples of various instructional tools and resources that can be used for non-projected and projected media in teaching.
activities and objectives.docx
This document outlines objectives for various educational assessment activities, including creating rubrics to apply fair testing practices; constructing a table of specifications to categorize objectives by Bloom's Taxonomy levels; constructing multiple choice and matching tests by identifying assessment methods and classifying objective types; and performing item analysis to evaluate test validity and reliability.
matching type variation.docx
The document is a practice test containing math problems involving relationships between variables. It includes 7 multiple choice questions where students must match relationships described in Column A to the corresponding equation in Column B. The relationships include variables that vary directly, inversely, and jointly with other variables.
multiple choice variation exam.docx
This document contains 8 multiple choice questions about variation equations:
1. The questions ask about direct and inverse variation equations and how to write statements of variation in equation form.
2. Key concepts covered include direct variation (varies directly as), inverse variation (varies inversely as), and joint variation (varies jointly as).
3. The correct answers are provided to test understanding of different variation equations including Boyle's law and Charles' law.
ROLES OF STAKEHOLDERS IN CURRICULUM IMPLEMENTATION.docx
This document outlines the roles and perspectives of various stakeholders in curriculum implementation at PSU Integrated School. It includes interviews with a student, teacher, parent, administrator, barangay officials, and alumni. The student emphasizes studying well and being an active role model. The teacher sees their role as an architect and implementer of the curriculum. The parent wants to support the school through awareness and participation. The administrator ensures effectiveness, continuity, relevance and balance to produce well-rounded students. Barangay officials can help provide needed equipment. And the alumni views themselves as reflecting the curriculum and school through their accomplishments.
Interview Guide for Teachers.docx
As a role model teacher, the interviewee's main roles are to regulate their actions according to school policies and guidelines, and act as a positive influence on students. The most important role is helping students succeed and guiding their development. A survey for teachers asks them to list and rank their main roles from most to least important. An interview guide for principals focuses on how teachers in their school perform as role models and examples are sought to justify assessments of teacher performance in this area.
On becoming a teacher FS 6 Activity 4.pptx
The document summarizes an interview with Dr. Roy C. Ferrer about the professional qualities of an effective teacher. According to the interview, key qualities include intellectual ability, social skills, charisma, commitment, and dedication. The document also discusses how the National Competency-Based Teacher Standards domains relate to the Code of Ethics for Professional Teachers in the Philippines. It notes that commitment is especially important, as willingness is needed to teach effectively and yield the best results for students.
Multiplication Basics.pptx
The document is a table that shows the multiplication tables from 1 to 10. It lists the multiplication problems (1)(1) to (10)(10) and leaves blanks for the student to fill in the answers. The purpose is to teach students the basic multiplication facts through repetition. It was created by Katherine E. Bautista, a teacher at Turac National High School, to help students learn their times tables from 1 to 10.
Polynomials Activity
This document discusses the characteristics of polynomials and non-polynomials. It states that for an expression to be a polynomial, the variables cannot have negative or fractional exponents, and a variable cannot be in the denominator. It then provides examples of expressions and identifies whether they are polynomials or non-polynomials based on these criteria.
The top down approach
The document discusses the top-down approach to teaching reading. It has 6 key features: 1) it allows readers to decode text without understanding each word, 2) it helps recognize unfamiliar words through meaning and grammar cues, 3) it emphasizes reading for meaning over individual words, 4) it engages readers in meaning activities rather than focusing on word skills, 5) it considers reading sentences, paragraphs and full texts as the core of instruction, and 6) it identifies how much and what type of information is derived from reading. The goal of reading is constructing meaning from the text rather than translating words.
Journey in basic education curricular reforms
The document outlines key dates in basic education curricular reforms in the Philippines from 1989 to 2013. It notes reforms occurred from 1989-2013 with additional focus on reforms from 2012-2013. Overall the document appears to chronicle major changes and updates to education curriculum over a 24 year period.
Conceptualization, operationalization and measurement
This document discusses conceptualization, operationalization, and measurement in statistics. It defines conceptualization as communicating concepts about external realities through concepts, constructs, dimensions, and indicators. Operationalization is selecting observable phenomena to represent abstract concepts through attributes, variables, and levels of measurement including nominal, ordinal, interval, and ratio. Measurement involves assigning data to these levels based on their qualities and relationships.
Archimedes and geometry
Archimedes made important contributions to geometry through his method of discovery and treatise "The Method". His approach involved balancing cross-sections of figures against known figures using laws of leverage. He would present his method of discovery before giving a rigorous proof. "The Method" contained Archimedes' processes for discovering many results on areas and volumes mechanically. Some of his key propositions included finding the volume of a cylinder inscribed in a parallelepiped and showing that a parabolic segment is 4/3 the size of an inscribed triangle.
More from Katherine Bautista (20)
ROLES OF STAKEHOLDERS IN CURRICULUM IMPLEMENTATION.docx
ROLES OF STAKEHOLDERS IN CURRICULUM IMPLEMENTATION.docx
Conceptualization, operationalization and measurement
Conceptualization, operationalization and measurement
Recently uploaded
Gender and Mental Health - Counselling and Family Therapy Applications and In...
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience Wahiba Chair Training & Consulting
Wahiba Chair's Talk at the 2024 Learning Ideas Conference. Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...Nguyen Thanh Tu Collection
https://app.box.com/s/y977uz6bpd3af4qsebv7r9b7s21935vdLeveraging Generative AI to Drive Nonprofit Innovation
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.)
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...Nguyen Thanh Tu Collection
https://app.box.com/s/qhtvq32h4ybf9t49ku85x0n3xl4jhr15Main Java[All of the Base Concepts}.docx
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
How to Make a Field Mandatory in Odoo 17
In Odoo, making a field required can be done through both Python code and XML views. When you set the required attribute to True in Python code, it makes the field required across all views where it's used. Conversely, when you set the required attribute in XML views, it makes the field required only in the context of that particular view.
Advanced Java[Extra Concepts, Not Difficult].docx
This is part 2 of my Java Learning Journey. This contains Hashing, ArrayList, LinkedList, Date and Time Classes, Calendar Class and more.
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Iván Bornacelly, Policy Analyst at the OECD Centre for Skills, OECD, presents at the webinar 'Tackling job market gaps with a skills-first approach' on 12 June 2024
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
BBR 2024 Summer Sessions Interview Training
Qualitative research interview training by Professor Katrina Pritchard and Dr Helen Williams
Hindi varnamala | hindi alphabet PPT.pdf
हिंदी वर्णमाला पीपीटी, hindi alphabet PPT presentation, hindi varnamala PPT, Hindi Varnamala pdf, हिंदी स्वर, हिंदी व्यंजन, sikhiye hindi varnmala, dr. mulla adam ali, hindi language and literature, hindi alphabet with drawing, hindi alphabet pdf, hindi varnamala for childrens, hindi language, hindi varnamala practice for kids, https://www.drmullaadamali.com
How to deliver Powerpoint Presentations.pptx
"How to make and deliver dynamic presentations by making it more interactive to captivate your audience attention"
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...Nguyen Thanh Tu Collection
https://app.box.com/s/tacvl9ekroe9hqupdnjruiypvm9rdaneRecently uploaded (20)
Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
Leveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit Innovation
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
Arithmetic series problems
- 2. Use the nth term of an arithmetic sequence to answer the following questions.
- 3. 1. Find the 25th term of the arithmetic sequence 3, 7, 11, 15, 19,...
- 4. The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the first term and the common difference.
- 5. Give the arithmetic sequence of 5 terms if the first term is 8 and the last term is 100.