Math unit8 number sequences
•Download as PPT, PDF•
2 likes•588 views
This document outlines an instructional unit on number sequences. The unit contains 5 presentations that cover: 1) simple number patterns, 2) recognizing patterns, 3) geometric patterns, 4) linear sequences, and 5) general laws. Each presentation provides examples and problems for students to work through related to the particular type of number sequence. The goal is for students to learn how to identify patterns in sequences and determine rules or formulas to describe the relationships.
Report
Share
Report
Share
Recommended
Numerical expressions.
6.EE.A.1 Write and evaluate numerical expressions involving whole-number exponents.
Objective: Students will understand that the order of operations can be used to evaluate numerical expressions.
Key words
numerical expression
order of operations
Multiplication of decimals
This document provides examples and instructions for multiplying mixed decimals. It explains that when multiplying a mixed decimal by a whole number or another mixed decimal, you multiply as usual but pay attention to the number of decimal places in the factors and product. The product should have the same number of decimal places as the total number of decimal places in the factors. Several word problems involving rates and distances are solved as examples using multiplication of mixed decimals.
Factor ppt.
The document discusses multiples and factors. It defines multiples as numbers formed by multiplying a given number by the counting numbers. Factors are the numbers multiplied together to get a product. The document provides examples of finding multiples and factors of various numbers. It also defines prime and composite numbers.
Two-Digit Division
1. The document explains the steps for long division with a 2 digit divisor through an example of dividing 418 by 21.
2. It breaks down the process into 5 steps - dividing, multiplying, subtracting, bringing down remaining digits, and repeating the steps or noting the remainder.
3. Following these steps, the example divides 418 by 21 and gets a quotient of 20 with a remainder of 3.
Simplifying Fractions
This document provides instructions on how to simplify fractions by dividing the numerator and denominator by the largest number that divides both. It includes examples of simplifying fractions through division and with a calculator. Key rules are explained, such as using the largest number that divides both the numerator and denominator to get the fraction into its lowest terms. Practice questions are provided to reinforce these concepts.
Direct proportion
This document discusses direct proportion and methods for solving direct proportion problems. Direct proportion exists when two quantities change at a constant rate with respect to each other. The cross-multiplication method can be used to solve direct proportion problems by setting up a proportion between the known quantities and cross-multiplying to solve for the unknown quantity. Graphs of direct proportion relationships will always produce a straight line passing through the origin.
Numberline notes
- Integers include whole numbers and their opposites on the number line including zero. Positive numbers are greater than zero, while negative numbers are less than zero.
- Integers can be compared and ordered on a number line, with numbers to the left being less than those to the right. Their absolute values represent distances from zero.
- Integers are used to represent real-world concepts like temperature, elevation, and financial amounts, with positive integers for gains and negative for losses or amounts owed.
Reading and Writing decimals
The document contains a list of numerical values expressed using different place value names such as thousandths, tenths, hundreths, and ten thousandths. The values range from single digit numbers like 2 to longer decimals like 29.0075 expressed in different place value notations.
Recommended
Numerical expressions.
6.EE.A.1 Write and evaluate numerical expressions involving whole-number exponents.
Objective: Students will understand that the order of operations can be used to evaluate numerical expressions.
Key words
numerical expression
order of operations
Multiplication of decimals
This document provides examples and instructions for multiplying mixed decimals. It explains that when multiplying a mixed decimal by a whole number or another mixed decimal, you multiply as usual but pay attention to the number of decimal places in the factors and product. The product should have the same number of decimal places as the total number of decimal places in the factors. Several word problems involving rates and distances are solved as examples using multiplication of mixed decimals.
Factor ppt.
The document discusses multiples and factors. It defines multiples as numbers formed by multiplying a given number by the counting numbers. Factors are the numbers multiplied together to get a product. The document provides examples of finding multiples and factors of various numbers. It also defines prime and composite numbers.
Two-Digit Division
1. The document explains the steps for long division with a 2 digit divisor through an example of dividing 418 by 21.
2. It breaks down the process into 5 steps - dividing, multiplying, subtracting, bringing down remaining digits, and repeating the steps or noting the remainder.
3. Following these steps, the example divides 418 by 21 and gets a quotient of 20 with a remainder of 3.
Simplifying Fractions
This document provides instructions on how to simplify fractions by dividing the numerator and denominator by the largest number that divides both. It includes examples of simplifying fractions through division and with a calculator. Key rules are explained, such as using the largest number that divides both the numerator and denominator to get the fraction into its lowest terms. Practice questions are provided to reinforce these concepts.
Direct proportion
This document discusses direct proportion and methods for solving direct proportion problems. Direct proportion exists when two quantities change at a constant rate with respect to each other. The cross-multiplication method can be used to solve direct proportion problems by setting up a proportion between the known quantities and cross-multiplying to solve for the unknown quantity. Graphs of direct proportion relationships will always produce a straight line passing through the origin.
Numberline notes
- Integers include whole numbers and their opposites on the number line including zero. Positive numbers are greater than zero, while negative numbers are less than zero.
- Integers can be compared and ordered on a number line, with numbers to the left being less than those to the right. Their absolute values represent distances from zero.
- Integers are used to represent real-world concepts like temperature, elevation, and financial amounts, with positive integers for gains and negative for losses or amounts owed.
Reading and Writing decimals
The document contains a list of numerical values expressed using different place value names such as thousandths, tenths, hundreths, and ten thousandths. The values range from single digit numbers like 2 to longer decimals like 29.0075 expressed in different place value notations.
Addition of fractions
1) A fraction represents a part of a whole. Adding fractions is different than adding whole numbers. There are two types of fraction addition problems: those where the fractions have the same denominator, and those where the fractions have different denominators.
2) For problems where the fractions have the same denominator, you simply add the numerators and keep the same denominator.
3) For problems where the fractions have different denominators, you find the least common multiple of the denominators and convert the fractions to equivalent fractions with that denominator before adding the numerators and keeping the common denominator.
Rounding and estimating
This document contains notes from a 6th grade math class. It includes warm-up exercises on place value and rounding, notes on rounding and estimating, examples of rounding addition, subtraction, multiplication and division problems, and ocean depth rounding questions. The syllabus needs to be signed and returned. Vocabulary terms will have definitions and examples from unit 1.
Patterns and-algebra-grade-2 powerpoint
This document provides information about patterns and algebra for a Department of Education. It defines what a pattern is and discusses different types of patterns including repeating, increasing, and decreasing patterns. It provides examples of numeric, object, and shape patterns. The document outlines learning objectives and competencies around identifying, continuing, and determining missing elements in patterns. It includes activities for students to practice translating patterns, predicting subsequent terms, and finding relationships between increasing/decreasing patterns.
Fractions-basic concepts
This document provides information about fractions including:
1) It defines a fraction as parts of a whole object that is divided into equal parts, with the number on the bottom telling how many equal parts the whole is divided into (the denominator), and the number on top telling how many parts are selected (the numerator).
2) It explains that the denominator of a fraction indicates the number of equal parts that make up the whole object, while the numerator indicates how many of those parts are selected or shaded.
3) Examples are provided to demonstrate finding the numerator and denominator of fractions and representing fractions as shapes or parts of a whole.
Subtracting integers
The document discusses the rule for subtracting integers. The rule states that to subtract, you add the opposite. So for example, 5 - (-3) means 5 + 3, since the opposite of -3 is 3. It provides examples of subtracting integers like -5 - (-3) and -8 - (-4) using the rule. It also has practice problems for students to evaluate expressions with variables like finding a - b - (-6) when a = 8 and b = -15.
Pattern and algebra
This document outlines algebra and pattern skills for years 5 and 6. For year 5, it includes describing patterns using words, numbers and symbols, continuing patterns for at least 5 steps, and finding unknown quantities in multiplication and division number sentences. For year 6, it adds describing patterns using rules, using order of operations to solve number sentences, and writing number sentences that apply order of operations rules. It provides examples of patterns using fractions, decimals, whole numbers and shapes, as well as solving equations and finding quotients.
Factors and multiples
The document provides an overview of factors and multiples in mathematics. It defines factors as numbers that divide evenly into another number, and multiples as numbers that another number divides evenly into. It discusses finding common factors and common multiples between two numbers, as well as decomposing numbers into their prime factors. The document also covers calculating the highest common factor and lowest common multiple of two numbers using prime factor decomposition. Finally, it provides some practice problems for readers to work through.
Long division
1) Long division is explained using a family as an analogy to represent the steps of the process.
2) The steps of long division are: divide, multiply, subtract, bring down, and repeat or get the remainder.
3) An example problem walks through dividing 947 by 2 using the long division steps step-by-step to get the answer of 473 with a remainder of 1.
Least common multiple
The document discusses the concept of the least common multiple (LCM). It defines the LCM as the lowest number that is a multiple of two or more numbers. It provides examples of finding the LCM of different pairs of numbers by listing their multiples and circling the first number that is common to both lists. The document also discusses how the LCM can be used to find patterns involving multiples and to add or subtract fractions by finding a common denominator.
Ppt addition of dissimilar fractions (loids)
This document provides instructions on how to add dissimilar fractions. It begins by listing examples of finding the least common denominator of sets of fractions. It then works through an example problem of adding 1/2 kg of lanzones and 1/4 kg of grapes. The key steps are to first find the least common denominator to make the fractions similar, then add the numerators and keep the same denominator. Finally, it lists three practice problems for the student to solve.
Number Sequences
Here are the nth terms for the given sequences:
(a) The nth term is: 3n + 1
(b) The nth term is: n + 2
(c) The nth term is: n + 1
(d) The nth term is: 10n
(e) The nth term is: 5n - 1
Time for Grade 3
This document is a lesson about telling time and time concepts taught by Teacher Spencer. It includes:
- Explanations of analog clock faces and how to read hours and minutes
- Examples of ways to express times like "ten past ten" or "half past one"
- Conversions between 12-hour and 24-hour time
- Calculations involving adding and converting units of time like minutes to hours or hours to days
- Practice problems for students to convert between times and time units.
Adding Fractions
This document provides instruction on adding fractions with different denominators. It begins by explaining why understanding fractions is important for success in algebra and beyond. It then defines the key parts of a fraction and establishes the important rule that fractions can only be added if they have a common denominator. The document demonstrates how to find the lowest common denominator and convert fractions to equivalent forms with the common denominator in order to add them. It emphasizes that equivalent fractions allow fractions to retain their original value even when the denominator changes.
Adding and Subtracting Fractions
The document discusses adding and subtracting simple fractions and harder fractions. It explains that when adding or subtracting fractions, they must have the same denominator. It provides examples such as 3/5 + 1/5 = 4/5 and 7/8 - 3/8 = 4/8. For harder fractions with different denominators, the document explains that we can find equivalent fractions with a common denominator to add them.
Simplest Form
The document defines key terms used in simplifying fractions such as factors, common factors, greatest common factor, and simplest form. It provides examples of finding the factors of different numbers, identifying common factors, and determining the greatest common factor. The document also explains that to simplify a fraction, one divides the numerator and denominator by the greatest common factor to get the fraction in simplest form, as shown through worked examples simplifying various fractions.
Algebraic expression
Algebra is a branch of mathematics that uses letters and symbols to represent numbers and quantities in expressions and equations. Key terms in algebra include variables, which can represent different numbers; replacement sets, which define the possible values a variable can take; and constants, which always represent the same number. Algebraic expressions combine variables, constants, and operation symbols using grouping symbols and relationship symbols to represent a mathematical relationship between quantities.
5. lesson 4 subtraction of whole numbers
This document provides an overview of subtraction of whole numbers:
Subtraction means taking one number away from another. The subtraction equation includes the minuend, subtrahend, and difference. To solve a subtraction problem, start by subtracting the ones digits and borrowing from the next place value if needed. Word problems involving subtraction use terms like difference, fewer, decreased by, and left. Examples show how to set up and solve subtraction equations and word problems using the ESA method of stating the equation, setting it up, and finding the answer.
Fractions on a number line
This document discusses placing fractions on a number line. It explains that a fraction represents a piece of a whole, where the whole is equal to 1. The fraction belongs between 0 and 1 on the number line. It provides examples of drawing number lines divided into halves, thirds, fifths, and other fractions, where the number line is separated into equal pieces based on the fractional parts being represented. Activities are suggested to draw number lines for various fractions such as thirds, quarters, sixths, tenths and twelfths.
Adding And Subtracting Fractions
The document discusses adding and subtracting fractions with like denominators. It provides steps for adding and subtracting numerators while keeping the denominators the same. Examples are shown of adding and subtracting fractions with like denominators. Additional practice problems are presented for the reader to work through.
Factors and Multiples
Factors are numbers that when multiplied together equal another number. The document provides examples of finding the factors of numbers like 8, 12, 17, and 30. It also has students find the factors of 16 and 24. Multiples are numbers obtained by multiplying a number by 1, 2, 3, and so on. Examples of multiples of 2, 3, and 10 are given. Students are assigned to write the factors of 28, 50, and 21 and the multiples of 5 and 9 on a quarter sheet of paper.
Topic 1 whole numbers
This document contains two sample question papers with math word problems. Paper 1 contains 20 questions testing skills like place value, rounding, addition, subtraction, multiplication, division, and interpreting data in tables and diagrams. Paper 2 contains 10 additional questions on similar math concepts. The questions involve operations on large numbers, word problems, and interpreting data in tables.
Linera sequence
This document provides an example of finding the rule for a linear sequence, where each term is found by adding a constant to the previous term. It shows working through an example sequence where the terms are 5, 8, 11, 14, 17 etc and each term is 3 greater than the previous term. It demonstrates setting up a table with the term position (n) and values, finding the difference between terms, and the rule that the nth term is given by the expression Term = 3n + 2.
More Related Content
What's hot
Addition of fractions
1) A fraction represents a part of a whole. Adding fractions is different than adding whole numbers. There are two types of fraction addition problems: those where the fractions have the same denominator, and those where the fractions have different denominators.
2) For problems where the fractions have the same denominator, you simply add the numerators and keep the same denominator.
3) For problems where the fractions have different denominators, you find the least common multiple of the denominators and convert the fractions to equivalent fractions with that denominator before adding the numerators and keeping the common denominator.
Rounding and estimating
This document contains notes from a 6th grade math class. It includes warm-up exercises on place value and rounding, notes on rounding and estimating, examples of rounding addition, subtraction, multiplication and division problems, and ocean depth rounding questions. The syllabus needs to be signed and returned. Vocabulary terms will have definitions and examples from unit 1.
Patterns and-algebra-grade-2 powerpoint
This document provides information about patterns and algebra for a Department of Education. It defines what a pattern is and discusses different types of patterns including repeating, increasing, and decreasing patterns. It provides examples of numeric, object, and shape patterns. The document outlines learning objectives and competencies around identifying, continuing, and determining missing elements in patterns. It includes activities for students to practice translating patterns, predicting subsequent terms, and finding relationships between increasing/decreasing patterns.
Fractions-basic concepts
This document provides information about fractions including:
1) It defines a fraction as parts of a whole object that is divided into equal parts, with the number on the bottom telling how many equal parts the whole is divided into (the denominator), and the number on top telling how many parts are selected (the numerator).
2) It explains that the denominator of a fraction indicates the number of equal parts that make up the whole object, while the numerator indicates how many of those parts are selected or shaded.
3) Examples are provided to demonstrate finding the numerator and denominator of fractions and representing fractions as shapes or parts of a whole.
Subtracting integers
The document discusses the rule for subtracting integers. The rule states that to subtract, you add the opposite. So for example, 5 - (-3) means 5 + 3, since the opposite of -3 is 3. It provides examples of subtracting integers like -5 - (-3) and -8 - (-4) using the rule. It also has practice problems for students to evaluate expressions with variables like finding a - b - (-6) when a = 8 and b = -15.
Pattern and algebra
This document outlines algebra and pattern skills for years 5 and 6. For year 5, it includes describing patterns using words, numbers and symbols, continuing patterns for at least 5 steps, and finding unknown quantities in multiplication and division number sentences. For year 6, it adds describing patterns using rules, using order of operations to solve number sentences, and writing number sentences that apply order of operations rules. It provides examples of patterns using fractions, decimals, whole numbers and shapes, as well as solving equations and finding quotients.
Factors and multiples
The document provides an overview of factors and multiples in mathematics. It defines factors as numbers that divide evenly into another number, and multiples as numbers that another number divides evenly into. It discusses finding common factors and common multiples between two numbers, as well as decomposing numbers into their prime factors. The document also covers calculating the highest common factor and lowest common multiple of two numbers using prime factor decomposition. Finally, it provides some practice problems for readers to work through.
Long division
1) Long division is explained using a family as an analogy to represent the steps of the process.
2) The steps of long division are: divide, multiply, subtract, bring down, and repeat or get the remainder.
3) An example problem walks through dividing 947 by 2 using the long division steps step-by-step to get the answer of 473 with a remainder of 1.
Least common multiple
The document discusses the concept of the least common multiple (LCM). It defines the LCM as the lowest number that is a multiple of two or more numbers. It provides examples of finding the LCM of different pairs of numbers by listing their multiples and circling the first number that is common to both lists. The document also discusses how the LCM can be used to find patterns involving multiples and to add or subtract fractions by finding a common denominator.
Ppt addition of dissimilar fractions (loids)
This document provides instructions on how to add dissimilar fractions. It begins by listing examples of finding the least common denominator of sets of fractions. It then works through an example problem of adding 1/2 kg of lanzones and 1/4 kg of grapes. The key steps are to first find the least common denominator to make the fractions similar, then add the numerators and keep the same denominator. Finally, it lists three practice problems for the student to solve.
Number Sequences
Here are the nth terms for the given sequences:
(a) The nth term is: 3n + 1
(b) The nth term is: n + 2
(c) The nth term is: n + 1
(d) The nth term is: 10n
(e) The nth term is: 5n - 1
Time for Grade 3
This document is a lesson about telling time and time concepts taught by Teacher Spencer. It includes:
- Explanations of analog clock faces and how to read hours and minutes
- Examples of ways to express times like "ten past ten" or "half past one"
- Conversions between 12-hour and 24-hour time
- Calculations involving adding and converting units of time like minutes to hours or hours to days
- Practice problems for students to convert between times and time units.
Adding Fractions
This document provides instruction on adding fractions with different denominators. It begins by explaining why understanding fractions is important for success in algebra and beyond. It then defines the key parts of a fraction and establishes the important rule that fractions can only be added if they have a common denominator. The document demonstrates how to find the lowest common denominator and convert fractions to equivalent forms with the common denominator in order to add them. It emphasizes that equivalent fractions allow fractions to retain their original value even when the denominator changes.
Adding and Subtracting Fractions
The document discusses adding and subtracting simple fractions and harder fractions. It explains that when adding or subtracting fractions, they must have the same denominator. It provides examples such as 3/5 + 1/5 = 4/5 and 7/8 - 3/8 = 4/8. For harder fractions with different denominators, the document explains that we can find equivalent fractions with a common denominator to add them.
Simplest Form
The document defines key terms used in simplifying fractions such as factors, common factors, greatest common factor, and simplest form. It provides examples of finding the factors of different numbers, identifying common factors, and determining the greatest common factor. The document also explains that to simplify a fraction, one divides the numerator and denominator by the greatest common factor to get the fraction in simplest form, as shown through worked examples simplifying various fractions.
Algebraic expression
Algebra is a branch of mathematics that uses letters and symbols to represent numbers and quantities in expressions and equations. Key terms in algebra include variables, which can represent different numbers; replacement sets, which define the possible values a variable can take; and constants, which always represent the same number. Algebraic expressions combine variables, constants, and operation symbols using grouping symbols and relationship symbols to represent a mathematical relationship between quantities.
5. lesson 4 subtraction of whole numbers
This document provides an overview of subtraction of whole numbers:
Subtraction means taking one number away from another. The subtraction equation includes the minuend, subtrahend, and difference. To solve a subtraction problem, start by subtracting the ones digits and borrowing from the next place value if needed. Word problems involving subtraction use terms like difference, fewer, decreased by, and left. Examples show how to set up and solve subtraction equations and word problems using the ESA method of stating the equation, setting it up, and finding the answer.
Fractions on a number line
This document discusses placing fractions on a number line. It explains that a fraction represents a piece of a whole, where the whole is equal to 1. The fraction belongs between 0 and 1 on the number line. It provides examples of drawing number lines divided into halves, thirds, fifths, and other fractions, where the number line is separated into equal pieces based on the fractional parts being represented. Activities are suggested to draw number lines for various fractions such as thirds, quarters, sixths, tenths and twelfths.
Adding And Subtracting Fractions
The document discusses adding and subtracting fractions with like denominators. It provides steps for adding and subtracting numerators while keeping the denominators the same. Examples are shown of adding and subtracting fractions with like denominators. Additional practice problems are presented for the reader to work through.
Factors and Multiples
Factors are numbers that when multiplied together equal another number. The document provides examples of finding the factors of numbers like 8, 12, 17, and 30. It also has students find the factors of 16 and 24. Multiples are numbers obtained by multiplying a number by 1, 2, 3, and so on. Examples of multiples of 2, 3, and 10 are given. Students are assigned to write the factors of 28, 50, and 21 and the multiples of 5 and 9 on a quarter sheet of paper.
What's hot (20)
Viewers also liked
Topic 1 whole numbers
This document contains two sample question papers with math word problems. Paper 1 contains 20 questions testing skills like place value, rounding, addition, subtraction, multiplication, division, and interpreting data in tables and diagrams. Paper 2 contains 10 additional questions on similar math concepts. The questions involve operations on large numbers, word problems, and interpreting data in tables.
Linera sequence
This document provides an example of finding the rule for a linear sequence, where each term is found by adding a constant to the previous term. It shows working through an example sequence where the terms are 5, 8, 11, 14, 17 etc and each term is 3 greater than the previous term. It demonstrates setting up a table with the term position (n) and values, finding the difference between terms, and the rule that the nth term is given by the expression Term = 3n + 2.
Math unit2 percentages
This document contains 5 presentations on the topic of percentages:
1) Conversion, which explains how to convert fractions and decimals to percentages.
2) Conversion: Revision, which reviews converting between fractions, decimals, and percentages.
3) Percentages of Quantities, which demonstrates calculating percentages of amounts.
4) Quantities as Percentages, which shows expressing quantities as percentages.
5) Percentage Increases and Decreases, explaining how to calculate percentage change from original to final amounts.
Math unit10 logic and venn diagrams
This document contains 5 presentations on logic and Venn diagrams:
1. Provides an example of using a Venn diagram to illustrate the sets A and B using numbers 0-9.
2. Defines key terms used in Venn diagrams like intersection, union, complement, subset, and universal set.
3. Shows how Venn diagrams can illustrate relationships between different sets.
4. Works through a theoretical example using sets A, B, and C to identify intersections and unions.
5. Provides a practical example using Venn diagrams to describe sets of even numbers, prime numbers, and multiples of 3 and 5.
Krist Wongsuphasawat's Dissertation Defense: Interactive Exploration of Tempo...
Krist Wongsuphasawat's Dissertation Defense: Interactive Exploration of Tempo...Krist Wongsuphasawat
Krist Wongsuphasawat's Dissertation Defense at the University of Maryland, College Park on April 10, 2012Mathematics year 5
This document contains 40 multiple choice questions covering various math and problem solving concepts. The questions assess skills like conversions between measurement units, calculating percentages, interpreting data in tables and diagrams, and solving word problems involving money, time, and other quantities. The correct answer is provided as a multiple choice option for each question.
English M3 Narrative Development
This document provides an overview of narrative development, including objectives, key terms, and practice exercises related to narrative perspective and organization. The objectives are to gain flexibility employing narrative perspective and organization in short stories. Key terms defined include tone, mood, and atmosphere. Narrative perspective can be first person or third person, while organization can be chronological or using flashbacks. Practice exercises provide stimulus for writing short stories using different perspectives and organizations.
Math unit3 using fractions and percentages
The document outlines four presentations that are part of Unit 3 on Using Fractions and Percentages. Presentation 1 covers addition and subtraction of fractions. Presentation 2 discusses multiplication and division of fractions. Presentation 3 is about compound interest and how to calculate total amounts over time. Presentation 4 addresses reverse percentage problems and removing sales tax or other percentages from a total price.
Numbers and patterns
This document outlines 6 phases of developing number sense and counting skills in early childhood education. Each phase focuses on number words/numerals and counting sets. The goals are to lay a foundation for quantifying, calculating, and understanding numbers in the real world. Key skills progress from recognizing small quantities to counting larger numbers and sets, comparing amounts, and introducing early addition and subtraction through counting on and back. The document stresses making math practical and fun through everyday activities.
Number sequences
The document discusses different types of number sequences and patterns. It provides examples of sequences where the rule is to add or subtract a constant number, double or halve successive terms, or apply other mathematical functions. Students are asked to identify the rules and extend the sequences by determining missing or subsequent terms. Famous sequences like the Fibonacci sequence are also introduced.
Visualization for Event Sequences Exploration
The document summarizes Krist Wongsuphasawat's presentation on visualizing event sequences at the 2013 Data Visualization Summit in San Francisco. Wongsuphasawat discussed techniques for visualizing event sequences, including using glyphs on a timeline to represent events, using interval width to represent duration, color and shape to distinguish event types, faceting for high density sequences, and aggregation techniques like binning and kernel density estimation. He demonstrated the LifeFlow tool for providing overviews and summaries of event sequence data. Wongsuphasawat also discussed alignment of sequences, outcome-based aggregation with the Outflow tool, and applications to analyzing big event sequence data like customer checkout processes at eBay.
Chapter 2 Number patterns and sequences
This document discusses different types of number patterns and sequences including odd, even, prime, and composite numbers. It also defines key concepts such as factors, multiples, highest common factors (HCF), and lowest common multiples (LCM). Examples are provided to illustrate each type of number pattern or concept.
Math unit1 decimals and fractions
This document contains 5 presentations on decimals and fractions: 1) multiplying and dividing decimals, 2) converting fractions and decimals, 3) negative numbers, 4) operations with negative numbers, and 5) estimating answers. The presentations provide examples and explanations of key concepts for each topic.
Patterns
This document discusses patterns and what defines a pattern. Patterns are things that repeat in a consistent order, such as alternating colors, objects, or days of the week. Examples provided include brick and moss alternating, gaps between teeth repeating, keyboards and mice repeating, and the days of the week repeating in a weekly cycle. The school discussed at the beginning has patterns everywhere.
Patterns
The document lists various examples of patterns found in nature and human creations including animal fur, spider webs, flowers, butterfly wings, peacock feathers, sand, quilts, rugs, tiles, dolls, animals, windows, buildings, designs, blocks, fractals, nails, necklaces, clothes, and henna. Each item is listed with the phrase "This is a pattern" to define what constitutes a pattern across many different subjects.
Number sequences and patterns
This document discusses different types of number patterns and 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 common ratio. Square number sequences involve squaring consecutive integers, triangular sequences add the numbers in triangles of dots, and Fibonacci sequences add the two prior terms to generate the next term. Examples of each type of sequence are provided.
Math unit39 matrices
This document outlines the key concepts and examples for matrices including: addition and subtraction of matrices with the same dimensions; scalar multiplication by multiplying each element of the matrix by the scalar; matrix multiplication where the number of columns of the first matrix equals the number of rows of the second matrix; determinants of 2x2 matrices; inverse matrices for non-singular 2x2 matrices; solving systems of equations using matrices; and geometric transformations using matrices including rotation, reflection, translation and examples of applying transformations.
Start here
This document provides information about study resources for exams, including quick study options with over 400 YouTube videos and 200 slideshare presentations covering 11 subjects, as well as comprehensive studying with 250 lessons per subject broken into modules and over 30,000 test items. Users can create an account to access these resources through a Moodle online learning platform by searching courses or topics.
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.
Repeating and growing patterns
This document defines and provides examples of repeating and growing patterns. Repeating patterns have a sequence that is duplicated without change. Growing patterns have a sequence that increases with each repetition by adding a new element. Examples are given of number, shape, and color patterns that repeat or grow. The key difference between the two types of patterns is explained. Problems are presented asking the reader to identify pattern types and determine subsequent sequences.
Viewers also liked (20)
Krist Wongsuphasawat's Dissertation Defense: Interactive Exploration of Tempo...
Krist Wongsuphasawat's Dissertation Defense: Interactive Exploration of Tempo...
Similar to Math unit8 number sequences
Math Lesson 3
This document provides a lesson on number and geometric patterns. It contains 3 key learning outcomes:
1) Students will be able to explain geometric patterns.
2) Students can solve problems involving patterns.
3) Students will draw patterns.
Examples of simple number and geometric patterns are presented, including a flower bed pattern where the number of patio stones can be described by the formula Patio stones = 3 + 7n. Students are assigned homework to solve exercises involving finding patterns and differences in sequences.
Math10 q1 week2.arithmetic sequence1
The document describes an abstract reasoning test. It includes examples of sequences with patterns of increasing or decreasing numbers. It explains that abstract reasoning tests often involve identifying the pattern or rule governing a sequence and determining the next terms. It provides examples of arithmetic sequences where each term is calculated by adding or subtracting a constant from the previous term. It also gives examples of sequences that are and are not arithmetic sequences. The document aims to define arithmetic sequences, illustrate them, and explain how to determine the nth term, number of terms, and common difference of an arithmetic sequence.
power point geomtryfv g bn derhgswr ee
This document discusses different types of sequences in mathematics, including linear, quadratic, and geometric sequences. It provides examples and explanations of how to determine the rule that generates each sequence, either from term-to-term or from the position of a term in the sequence. Key points covered include finding the common difference or second difference to classify a sequence as linear or quadratic, and determining the formula for the nth term of a sequence from its pattern of terms. Examples are given of predicting future terms and finding specific terms of various sequences.
NUMERIC PATTERN.pptx
The document discusses numeric patterns, including arithmetic and geometric patterns. Arithmetic patterns have a common difference between consecutive terms, while geometric patterns have a common ratio. Examples are provided of determining the common difference or ratio of patterns and using these to find missing terms or generate additional terms of the pattern. Rules for numeric patterns are also discussed, where the term value is determined by a rule related to the position of the term.
Arithmetic Sequences and Series.ppt
The document discusses arithmetic sequences and series. Some key points include:
- An arithmetic sequence is defined as a sequence where the difference between consecutive terms is constant. This constant difference is called the common difference.
- Formulas are provided for finding the nth term of an arithmetic sequence and the sum of the first n terms of an arithmetic sequence.
- Examples are given of identifying arithmetic sequences based on patterns of terms and solving problems using the formulas, such as finding missing terms or sums.
Arithmetic sequences (1).ppt
This document provides information about arithmetic sequences, including:
- Formulas for finding the nth term of an arithmetic sequence given the first term and common difference. The nth term is equal to the first term plus n minus 1 times the common difference.
- A method known as "Gauss's technique" for finding the sum of an arithmetic sequence by pairing terms. The sum is equal to the number of pairs times the sum of each pair.
- The general formula for the sum of an arithmetic sequence, which is equal to n over 2 times the first term plus the last term minus the common difference times n(n-1) over 2.
The document then provides examples of using these formulas to find individual terms
INTERACTIVE MULTIMEDIA on ARITHMETIC SEQUENCE_SIM FOR MATH GRADE 10.pdf
Sorry, pptm file cannot be uploaded..Try to covert online or put your email ad in the comment section.
Class_Powerpoint_Sequences_Arithmetic_and_Geometric_with_Series_Finite_and_In...
1. The document discusses arithmetic and geometric sequences.
2. Arithmetic sequences are defined by adding a common difference to get the next term, while geometric sequences multiply by a common ratio.
3. Examples are provided of finding terms in arithmetic and geometric sequences using formulas.
prova
This document contains tutorials and quizzes on math topics including geometry and fractions. The geometry section includes lessons on polygons, angles, and geometric figures. It covers topics like the number of sides in different polygons and identifying angle types. The fractions section covers reading and comparing fractions, equivalent fractions, mixed numbers, and operations like addition and subtraction. It provides examples and explanations of fraction concepts.
AufEx4_01_02.ppt
This document discusses sequences and provides examples of finding patterns in sequences to predict future terms or develop formulas. It begins by defining what a sequence is and the terms used to describe them, like first term and nth term. Difference tables are introduced as a way to analyze patterns between terms. Examples show how to use difference tables to predict future terms and find formulas. The document then introduces the famous Fibonacci sequence and provides its recursive definition to calculate future terms.
Notes 12.1 Arithmetic Sequences and Series.pdf
This document provides information about arithmetic sequences and series. It defines key terms like sequence, term, and common difference. It also presents methods for determining subsequent terms in a sequence, the nth term of a sequence using the explicit formula, finding arithmetic means between terms, and evaluating finite arithmetic series using the summation formula. Application examples are provided to demonstrate how to use these concepts to solve real-world problems involving sequences and series.
Lesson 5 Arithmetic Sequences.pdf
This document discusses arithmetic sequences. It defines key terms like sequence, term, and common difference. It explains how to identify if a set of numbers forms an arithmetic sequence based on having a constant difference between terms. Methods are provided for finding the next term, the nth term, and representing the sequence as a linear function. Examples demonstrate how to apply these concepts to solve problems involving arithmetic sequences.
Level 4 a1
1) The document contains a number of algebra problems involving number sequences, patterns, rules, and coordinate grids.
2) Students are asked to identify rules, complete number sequences, find missing numbers, determine coordinates, and decide if there are enough tiles to complete a pattern.
3) Various rules are tested, including multiplying or dividing by constants, adding/subtracting the same number each time, and doubling/halving between terms.
Arithmetic Sequences and Series-Boger.ppt
The document discusses arithmetic sequences and series. Some key points include:
- An arithmetic sequence is a sequence whose consecutive terms have a common difference. The common difference is the number added to get the next term.
- An arithmetic series is the sum of terms in an arithmetic sequence.
- The formula to find any term in an arithmetic sequence is an = a1 + (n - 1)d, where a1 is the first term, n is the term number, and d is the common difference.
- The formula to find the sum of the first n terms of an arithmetic sequence is Sn = (n/2)(a1 + an), where a1 is the first term, an is the last
Arithmetic Sequences and Series-Boger.ppt
The document discusses arithmetic sequences and series. Some key points include:
- An arithmetic sequence is a sequence whose consecutive terms have a common difference. The common difference is the number added to get the next term.
- An arithmetic series is the sum of terms in an arithmetic sequence.
- Formulas are provided for finding the nth term of an arithmetic sequence and the sum of the first n terms of an arithmetic sequence.
- Examples are given of finding terms, common differences, and sums of arithmetic sequences and series.
Arithmetic Sequences and Series-Boger.ppt
The document discusses arithmetic sequences and series. It provides examples of arithmetic sequences and how to determine the common difference and write terms. It also discusses how to find individual terms, sums of terms, and arithmetic means within sequences. Formulas are provided for the nth term of a sequence, the sum of terms, and evaluating sequences.
number system
The document discusses number systems. It begins by explaining how early humans counted items without a formal system by making marks or using objects to represent quantities. It then describes the development of number systems, starting with natural numbers, then extending to whole numbers with the inclusion of zero, and integers which allow for positive and negative numbers. Rational numbers are defined as any number that can be represented as a ratio of two integers. The key functions of learning number systems are outlined, including performing arithmetic operations on real numbers. Decimal representations of rational numbers are also discussed.
Lesson 1.8 grade 8
1. The document provides examples for evaluating expressions with scientific notation, square roots, and cube roots. It includes step-by-step workings for finding square roots of perfect squares and cube roots of perfect cubes.
2. Key concepts explained are square roots, perfect squares, radical signs, cube roots, and perfect cubes. Examples are provided to find square roots of numbers less than 100 and cube roots of small numbers.
3. Knowing how to find the exact square roots of perfect squares helps estimate the square roots of nearby non-perfect squares. Being able to write the perfect square root without the radical provides understanding and allows for computations.
Number Sequences
Here are the nth terms for the given sequences:
(a) The nth term is: 3n + 1
(b) The nth term is: n + 2
(c) The nth term is: n + 1
(d) The nth term is: 10n
(e) The nth term is: 5n - 1
Similar to Math unit8 number sequences (20)
INTERACTIVE MULTIMEDIA on ARITHMETIC SEQUENCE_SIM FOR MATH GRADE 10.pdf
INTERACTIVE MULTIMEDIA on ARITHMETIC SEQUENCE_SIM FOR MATH GRADE 10.pdf
Class_Powerpoint_Sequences_Arithmetic_and_Geometric_with_Series_Finite_and_In...
Class_Powerpoint_Sequences_Arithmetic_and_Geometric_with_Series_Finite_and_In...
More from eLearningJa
Math unit38 vectors
This document contains 6 presentations on vectors:
1) Identifying equivalent and opposite vectors in a diagram
2) Calculating components of vectors
3) Writing vector expressions in terms of other vectors
4) Illustrating vector addition and subtraction on a grid
5) Expressing vectors in terms of other vectors using properties of midpoints
6) Expressing vectors in terms of other vectors and proving collinearity using properties of parallelograms
Math unit36 contructions and enlargements
This document discusses geometric transformations including lines of symmetry, rotational symmetry, enlargements, and finding the scale factor and center of enlargement. Lines of symmetry and orders of rotational symmetry are identified for different shapes. Enlargements are performed using given scale factors and centers. The ratio of areas for different enlargements is calculated. Scale factors and centers of enlargement are determined for shapes.
Math unit34 pythagoras' theorem and trigonometric ratios
Pythagoras' theorem and trigonometric ratios
You can Find other resources on http://www.elearnjavle.org
Math unit35 trigonometric problem
This document covers trigonometric concepts and problems involving right-angled triangles, bearings, and trigonometric functions. It includes 7 presentations on finding angles in right triangles using trig functions, problems using trigonometry including elevation and depression, the sine rule, cosine rule, problems with bearings, and trig functions. Examples are provided for each topic to demonstrate how to set up and solve various trigonometric problems.
Math unit33 congruence and similarity
This document covers the topics of congruence, similarity, and ratios between similar shapes. It includes 4 tests for determining if triangles are congruent based on side lengths and angles. It also discusses identifying similar shapes and using corresponding parts of similar triangles to determine unknown lengths and angles. Finally, it examines how linear dimensions, areas, and volumes are scaled between similar cuboids based on common scale factors.
Math unit32 angles, circles and tangents
This document contains 8 presentations on the topics of angles, circles, and tangents. It includes definitions, results, and examples related to compass bearings, angles formed with circles, properties of circles and tangents, and the relationships between angles on circles and chords. Practice problems are provided for students to apply the concepts to geometric diagrams.
Math unit29 using graphs to solve equations
This document discusses using graphs to solve equations. It covers solving simultaneous equations by graphing the lines and finding their intersection point. It also discusses graphs of quadratic, cubic, and reciprocal functions, including their key characteristics and shapes. Examples of each type of function are shown. The document concludes by discussing using graphs to find specific values or intervals related to equations.
Math unit30 functions
This document contains 6 presentations on functions, mappings, and domains:
1) It introduces functions, mappings, and domains.
2) It further explores functions, mappings, and domains with examples.
3) It provides another example and asks about domain and range.
4) It covers composite functions, finding functions of other functions.
5) It introduces the concept of inverse functions.
6) It gives another example of finding the inverse of a function.
Math unit28 straight lines
This document covers straight lines and their properties including positive and negative gradient, the relationship between perpendicular lines, using graphs to determine speed and distance, and finding equations of lines. It provides examples of calculating gradient, determining if two lines are perpendicular, finding speed from a distance-time graph, and deriving equations of lines given points or being parallel/perpendicular to another line. The content builds understanding of key concepts involving straight lines through worked examples.
Math unit26 solving inequalities
This document discusses solving inequalities and linear programming problems. It covers inequalities on a number line, solving linear inequalities, inequalities involving quadratic terms, using a graphical approach, and linear programming problems. Examples are provided for illustrating inequalities on number lines, solving various types of inequalities, finding the region defined by inequality constraints on a graph, and analyzing a linear programming problem about profit from cricket club uniform sales to determine the minimum possible profit.
Math unit27 coordinates
This document contains 6 presentations on the topic of coordinates:
1. Positive coordinates and plotting points in a plane
2. Writing coordinates of points and identifying locations
3. Plotting straight lines by connecting points
4. Plotting curves by connecting points in a smooth curve
5. Finding the midpoint of a line segment by averaging the x and y coordinates
6. Three-dimensional coordinates by extending points into the z-axis
Math unit21 formulae
This document contains summaries of 8 presentations about formulas:
1. Using formulas to calculate the perimeter and area of a rectangle given the length and width.
2. Constructing a formula to calculate an engineer's charge based on a fixed fee plus an hourly rate multiplied by hours worked.
3. Reviewing rules for performing calculations with negative numbers.
4. Using information provided to calculate temperature differences between various cities.
5. Substituting values into a formula to calculate the length of a metal rod at different temperatures.
6. Substituting values into a more complex formula involving fractions to calculate a focal length.
7. Rewriting a formula connecting Celsius and Fahrenheit
Math unit22 algebraic concepts
This document outlines 8 presentations covering algebraic concepts taught in Unit 22. The presentations include simplifying expressions, solving simple and linear equations, equations in context, algebraic manipulation, and algebraic fractions. Each presentation provides example problems and solutions to illustrate the concepts and skills covered.
Math unit19 probability of one event
This document contains explanations and examples related to probability concepts. It includes 4 presentations: 1) Simple Probability, 2) Probabilities, 3) Determining Probabilities, and 4) Misconceptions. The presentations provide examples of calculating probabilities of events, common probability misconceptions, and explanations for why the misconceptions are incorrect.
Math unit18 measure of variation
The document contains information about measures of variation and distributions, including:
1) A table showing the age distribution of Nigeria's population in 1991, with the lower quartile around 11 years, median around 24 years, and upper quartile around 40.5 years.
2) A table with test marks for 70 students, including constructing a cumulative frequency curve and determining that 28 students passed with a mark over 47.
3) Box and whisker plots are constructed to represent the goals scored in football matches by two teams, comparing their median, quartiles, and range.
4) Standard deviation is defined as a measure of spread from the mean, and the standard deviations of three data sets S1, S2,
Math unit20 probability of one or more events
This document is a presentation on probability of two or more events. It includes sections on probability outcomes for rolling a dice and flipping a coin simultaneously, rolling two dice and adding the scores, using tree diagrams to calculate probabilities of outcomes from rolling two dice or drawing balls from containers. It also addresses common misconceptions about probability, such as assuming the number of possible outcomes corresponds to the probability of a specific outcome, or that order matters in independent events. The presentation provides examples and prompts users to complete probability calculations to demonstrate their understanding of fundamental probability concepts involving two or more random events.
Math unit16 data presentation
The document discusses different data presentation methods including pie charts, line graphs, histograms, and histograms with unequal class intervals. It provides examples of how to represent various data sets visually using these different graph types, including steps for constructing the graphs, calculating values, and interpreting the results.
Math unit14 volumes
This document contains 4 presentations on volume, sectors, and arcs. The first presentation defines the formulas for calculating the volumes of cubes, cuboids, cylinders, and triangular prisms. The second presentation covers the relationships between mass, volume, and density. The third presentation provides the formulas for finding the areas of sectors and arc lengths of circles. The final presentation defines the volume formulas for pyramids, cones, and spheres and includes an example problem calculating the height of a cone with the same volume and radius as a sphere.
Math unit15 data collection
1) The document contains several examples of surveys, data collection methods, and data representation through tables, charts, and diagrams.
2) Key data collection methods discussed include systematic and random sampling of populations, as well as surveys to test hypotheses about factors that could influence outcomes.
3) Common ways to represent collected data involve tables with raw numbers, percentages, distances on maps, and bar charts comparing values across categories.
Math unit13 areas
This document contains 4 presentations on the topic of areas:
1. Formula for Area - Includes formulas for finding the areas of squares, rectangles, and triangles. Contains an incomplete table to fill in.
2. Areas and Circumferences of Circles - Includes formulas for finding the area and circumference of circles. Contains an example problem.
3. Formula for Areas of Trapeziums, Parallelograms and Kites - Includes formulas for finding the areas of parallelograms, trapeziums, and kites. Contains an incomplete table to fill in.
4. Surface Area - Includes formulas for finding the surface area of cuboids and cylinders. Contains example problems.
More from eLearningJa (20)
Math unit34 pythagoras' theorem and trigonometric ratios
Math unit34 pythagoras' theorem and trigonometric ratios
Recently uploaded
Digital Artifact 1 - 10VCD Environments Unit
Digital Artifact 1 - 10VCD Environments Unit - NGV Pavilion Concept Design
Community pharmacy- Social and preventive pharmacy UNIT 5
Covered community pharmacy topic of the subject Social and preventive pharmacy for Diploma and Bachelor of pharmacy
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.
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
How to Add Chatter in the odoo 17 ERP Module
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
DRUGS AND ITS classification slide share
Any substance (other than food) that is used to prevent, diagnose, treat, or relieve symptoms of a
disease or abnormal condition
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective UpskillingExcellence Foundation for South Sudan
Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityAkanksha trivedi rama nursing college kanpur.
Natural birth techniques are various type such as/ water birth , alexender method, hypnosis, bradley method, lamaze method etcPollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...National Information Standards Organization (NISO)
This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.The Diamonds of 2023-2024 in the IGRA collection
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
Walmart Business+ and Spark Good for Nonprofits.pdf
"Learn about all the ways Walmart supports nonprofit organizations.
You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
The event will cover the following::
Walmart Business + (https://business.walmart.com/plus) is a new shopping experience for nonprofits, schools, and local business customers that connects an exclusive online shopping experience to stores. Benefits include free delivery and shipping, a 'Spend Analytics” feature, special discounts, deals and tax-exempt shopping.
Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
Answers about how you can do more with Walmart!"
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar Kanvariaবাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশের অর্থনৈতিক সমীক্ষা ২০২৪ [Bangladesh Economic Review 2024 Bangla.pdf] কম্পিউটার , ট্যাব ও স্মার্ট ফোন ভার্সন সহ সম্পূর্ণ বাংলা ই-বুক বা pdf বই " সুচিপত্র ...বুকমার্ক মেনু 🔖 ও হাইপার লিংক মেনু 📝👆 যুক্ত ..
আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
বিসিএস ও ব্যাংক এর লিখিত পরীক্ষা ...+এছাড়া মাধ্যমিক ও উচ্চমাধ্যমিকের স্টুডেন্টদের জন্য অনেক কাজে আসবে ...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
-------------------------------------------------------------------------------
Find out more about ISO training and certification services
Training: ISO/IEC 27001 Information Security Management System - EN | PECB
ISO/IEC 42001 Artificial Intelligence Management System - EN | PECB
General Data Protection Regulation (GDPR) - Training Courses - EN | PECB
Webinars: https://pecb.com/webinars
Article: https://pecb.com/article
-------------------------------------------------------------------------------
For more information about PECB:
Website: https://pecb.com/
LinkedIn: https://www.linkedin.com/company/pecb/
Facebook: https://www.facebook.com/PECBInternational/
Slideshare: http://www.slideshare.net/PECBCERTIFICATION
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)Academy of Science of South Africa
A workshop hosted by the South African Journal of Science aimed at postgraduate students and early career researchers with little or no experience in writing and publishing journal articles.Recently uploaded (20)
Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Walmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdf
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
Math unit8 number sequences
- 1. Unit 8 Number Sequences Presentation 1 Simple Number Patterns Presentation 2 Recognising Patterns Presentation 3 Geometric Patterns Presentation 4 Linear Sequence Presentation 5 General Laws
- 2. Unit 8 Number Sequences Simple Number Patterns
- 3. What are the next three terms?
- 4. Unit 8 Number Sequences You have finished viewing: Simple Number Patterns Return to front slide Presentation 1 Simple Number Patterns Presentation 2 Recognising Patterns Presentation 3 Geometric Patterns Presentation 4 Linear Sequence Presentation 5 General Laws
- 5. Unit 8 Number Sequences Recognising Patterns
- 6. For some sequences, you need to find the pattern in the difference. For example, First difference Second difference
- 7. Unit 8 Number Sequences You have finished viewing: Recognising Patterns Return to front slide Presentation 1 Simple Number Patterns Presentation 2 Recognising Patterns Presentation 3 Geometric Patterns Presentation 4 Linear Sequence Presentation 5 General Laws
- 8. Unit 8 Number Sequences Geometric Patterns
- 9. Count the number of patio stones for the flower beds below and generalise your results. n = 1 n = 2 n = 3 Number of patio stones = 10 Number = 17 Number = 24
- 10. n = 4 n = 5 n = Number of patio stones = 31 Number of patio stones = 38 28Number of patio stones = 199 Count the number of patio stones for the flower beds below and generalise your results.
- 11. We can summarise our results in a table From this we can identify a general rule n 1 2 3 4 5 28 Patio Stones 10 17 24 31 38 199 Patio stones = 3 + 7nPatio stones = 3 + 7n
- 12. Unit 8 Number Sequences You have finished viewing: Geometric Patterns Return to front slide Presentation 1 Simple Number Patterns Presentation 2 Recognising Patterns Presentation 3 Geometric Patterns Presentation 4 Linear Sequence Presentation 5 General Laws
- 13. Unit 8 Number Sequences Linear Sequence
- 14. The 7th ,8th and 9th terms of a sequence are 61, 69 and 77. Find the formula to describe this sequence. Hence find the 100th term. Find the differences So the sequence is of the form ?? ?? ??
- 15. Find the differences So We find b by using ?? ?? ?? ??
- 16. Unit 8 Number Sequences You have finished viewing: Linear Sequence Return to front slide Presentation 1 Simple Number Patterns Presentation 2 Recognising Patterns Presentation 3 Geometric Patterns Presentation 4 Linear Sequence Presentation 5 General Laws
- 17. Unit 8 Number Sequences General Laws
- 18. Study the number lines and calculate the boxed values. ?? ?? ?? ?? ?? ?? ?? ?? ?? ??
- 19. Unit 8 Number Sequences You have finished viewing: General Laws Return to front slide Presentation 1 Simple Number Patterns Presentation 2 Recognising Patterns Presentation 3 Geometric Patterns Presentation 4 Linear Sequence Presentation 5 General Laws