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.
This document contains a lesson on sequences and equations. It includes examples of sequences with rules for generating the next term. Students are asked to identify rules for sequences, find missing terms, and determine if statements are true or false. The document also covers what an equation is, using variables and constants, and solving simple one-step equations using addition, subtraction, multiplication and division. Students are given practice solving and comparing equations.
The document defines sequences and series. It explains that a sequence is an ordered list of numbers with a specific pattern, while a series is the sum of the terms in a sequence. The document provides examples of arithmetic and geometric sequences, and explains how to determine the nth term of each using formulas involving the first term, common difference or ratio, and position of the term. It also discusses finite vs infinite sequences and gives examples of sequences in real world contexts like running training and loan interest.
The document provides examples of determining missing terms in patterns and sequences. It gives number patterns and counting sequences with missing terms and asks the reader to identify the next three terms. It also gives multiplication and division number sentences with missing values and asks the reader to determine the missing values using the operations provided. The overall document focuses on identifying missing terms or values in numerical patterns, sequences, and number sentences involving multiplication and division.
The document defines sequences as sets of numbers governed by a rule or pattern. Finite sequences have a limited number of terms with a known last term, while infinite sequences have countless terms continuing without end. Examples are provided of finite and infinite sequences. The document explains how to determine the next term in a sequence given prior terms, and asks readers to list the first five terms of sample sequences and identify them as finite or infinite.
The document discusses arithmetic sequences and series. An arithmetic sequence is a sequence where the difference between successive terms is constant. The nth term can be calculated using the formula an = a1 + (n - 1)d, where a1 is the first term, d is the common difference, and n is the term number. The sum of an arithmetic sequence is called an arithmetic series, which can be calculated using the formula Sn = (n/2)(a1 + an), where Sn is the sum, n is the number of terms, a1 is the first term, and an is the last term.
Generating Patterns and arithmetic sequence.pptxRenoLope1
The given document discusses arithmetic sequences and their properties. It defines an arithmetic sequence as a sequence where each term is obtained by adding a fixed number (called the common difference) to the preceding term. It provides the formula for calculating the nth term of an arithmetic sequence as an = a1 + d(n - 1), where a1 is the first term and d is the common difference. Examples are provided to determine if a sequence is arithmetic or not based on this definition and formula. The document also contains practice problems asking users to find missing terms, identify patterns, and calculate specific terms of arithmetic sequences.
The document defines key concepts related to patterns, sequences, and arithmetic sequences. It explains that a pattern is objects arranged by a rule, a sequence is a set of values in order, and a term refers to each value. An arithmetic sequence is one where each term is obtained by adding a constant difference to the preceding term. The general term formula to find the nth term is presented. Examples are provided to demonstrate finding specific terms and identifying sequences from patterns of numbers.
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.
This document contains a lesson on sequences and equations. It includes examples of sequences with rules for generating the next term. Students are asked to identify rules for sequences, find missing terms, and determine if statements are true or false. The document also covers what an equation is, using variables and constants, and solving simple one-step equations using addition, subtraction, multiplication and division. Students are given practice solving and comparing equations.
The document defines sequences and series. It explains that a sequence is an ordered list of numbers with a specific pattern, while a series is the sum of the terms in a sequence. The document provides examples of arithmetic and geometric sequences, and explains how to determine the nth term of each using formulas involving the first term, common difference or ratio, and position of the term. It also discusses finite vs infinite sequences and gives examples of sequences in real world contexts like running training and loan interest.
The document provides examples of determining missing terms in patterns and sequences. It gives number patterns and counting sequences with missing terms and asks the reader to identify the next three terms. It also gives multiplication and division number sentences with missing values and asks the reader to determine the missing values using the operations provided. The overall document focuses on identifying missing terms or values in numerical patterns, sequences, and number sentences involving multiplication and division.
The document defines sequences as sets of numbers governed by a rule or pattern. Finite sequences have a limited number of terms with a known last term, while infinite sequences have countless terms continuing without end. Examples are provided of finite and infinite sequences. The document explains how to determine the next term in a sequence given prior terms, and asks readers to list the first five terms of sample sequences and identify them as finite or infinite.
The document discusses arithmetic sequences and series. An arithmetic sequence is a sequence where the difference between successive terms is constant. The nth term can be calculated using the formula an = a1 + (n - 1)d, where a1 is the first term, d is the common difference, and n is the term number. The sum of an arithmetic sequence is called an arithmetic series, which can be calculated using the formula Sn = (n/2)(a1 + an), where Sn is the sum, n is the number of terms, a1 is the first term, and an is the last term.
Generating Patterns and arithmetic sequence.pptxRenoLope1
The given document discusses arithmetic sequences and their properties. It defines an arithmetic sequence as a sequence where each term is obtained by adding a fixed number (called the common difference) to the preceding term. It provides the formula for calculating the nth term of an arithmetic sequence as an = a1 + d(n - 1), where a1 is the first term and d is the common difference. Examples are provided to determine if a sequence is arithmetic or not based on this definition and formula. The document also contains practice problems asking users to find missing terms, identify patterns, and calculate specific terms of arithmetic sequences.
The document defines key concepts related to patterns, sequences, and arithmetic sequences. It explains that a pattern is objects arranged by a rule, a sequence is a set of values in order, and a term refers to each value. An arithmetic sequence is one where each term is obtained by adding a constant difference to the preceding term. The general term formula to find the nth term is presented. Examples are provided to demonstrate finding specific terms and identifying sequences from patterns of numbers.
The document introduces sequences and series. It discusses revising linear and quadratic sequences. It introduces arithmetic sequences, which have a constant difference between terms, and geometric sequences, which have a constant ratio between terms. It provides examples of determining the general term and specific terms of arithmetic and geometric sequences. Formulas are given for the general terms of both arithmetic (Tn = a + (n-1)d) and geometric (Tn = arn-1) sequences.
Arithmetic Sequence and Arithmetic SeriesJoey Valdriz
The document provides information about arithmetic sequences and arithmetic series. It defines an arithmetic sequence as a sequence of numbers where each term after the first is obtained by adding the same constant to the previous term. It gives examples of arithmetic sequences and explains how to find the common difference, the nth term of a sequence using the general formula, and how to solve problems involving arithmetic sequences and series. The last paragraph tells a story about how Carl Friedrich Gauss was able to quickly calculate the sum of all numbers from 1 to 100 by recognizing it as an arithmetic series.
This document defines patterns and sequences. Patterns refer to rules or procedures that can be used to predict future terms. A sequence is an arrangement of numbers in a particular order. There are two main types of sequences: arithmetic sequences, where the difference between consecutive terms is constant, and geometric sequences, where each term is found by multiplying the previous term by a fixed value. Examples are provided to demonstrate finding subsequent terms in arithmetic and geometric sequences.
The document discusses arithmetic sequences and series, including how to determine if a sequence is arithmetic, how to find subsequent terms using the common difference, and how to calculate the sum of the first n terms of an arithmetic series using the arithmetic series formula. Examples are provided to illustrate how to identify arithmetic sequences, calculate missing terms, find common differences, and compute sums of arithmetic series.
This document provides information about geometric sequences. It defines a geometric sequence as a sequence where each term is obtained by multiplying the preceding term by a common ratio. The key points are:
- A geometric sequence is defined by a common ratio r that is used to multiply the preceding term to obtain the next term.
- To find missing terms, the common ratio r is used to multiply or divide the preceding term.
- The formula for the nth term an of a geometric sequence is an = a1rn-1, where a1 is the first term and r is the common ratio.
- Examples are provided to demonstrate finding missing terms and calculating the nth term using the formula.
- The
This document covers arithmetic sequences, including defining arithmetic sequences as sequences where each term is obtained by adding a constant to the previous term. It provides examples of determining whether a sequence is arithmetic and calculating the nth term and sum of terms using formulas. The document also discusses inserting arithmetic means between terms and solving problems involving arithmetic sequences.
The document discusses patterns in nature and mathematics. It defines a pattern as a visible regularity or order. Patterns can be seen in nature, such as stripes and spots on animals. Mathematics studies patterns, and patterns can also be observed in phenomena like the movement of stars. The document presents examples of logic patterns, number patterns, and word patterns. It provides word and number puzzles to identify the next item in a sequence. The goal is to help readers recognize commonly used patterns.
The document provides information about sequences, including defining characteristics, types of sequences, general terms of sequences, recursive and explicit formulas, and examples. It discusses finite and infinite sequences, terms in a sequence, writing the general nth term as a function, and finding specific terms. Examples of sequences include the Fibonacci sequence and using the golden ratio in photography. Worked problems demonstrate finding terms of sequences given their formulas.
Grade 10 Math Module 1 searching for patterns, sequence and seriesJocel Sagario
This module introduces sequences and their different types. It discusses finding patterns in sequences to determine the next term. Specific examples are provided to demonstrate writing the first few terms of a sequence given its general formula. The key concepts covered are defining sequences, finite vs infinite sequences, terms of a sequence, increasing vs decreasing sequences, and using the general formula to find specific terms. Students are expected to be able to list terms of sequences, derive the formula, generate terms recursively, and describe arithmetic sequences in different ways.
The document discusses sequence formulas, including direct and recursive formulas. It provides examples of sequences defined by direct formulas like the sequence where the nth term is defined as An = 9n + 3. It then explains that a recursive formula defines each term of a sequence using preceding terms, and must state the initial term(s). It gives examples of calculating sequence terms using general formulas and recursion equations. Finally, it briefly mentions the famous Fibonacci sequence and its applications.
This document provides information about arithmetic sequences. It defines an arithmetic sequence as a sequence whose consecutive terms have a common difference. The nth term of an arithmetic sequence can be found using the formula an = a1 + (n-1)d, where a1 is the first term, n is the term number, and d is the common difference. The document gives examples of identifying whether a sequence is arithmetic and finding the nth term and next terms of arithmetic sequences using the formula. It also defines arithmetic mean as the term between two non-consecutive terms and arithmetic series as the sum of terms of an arithmetic sequence found using the formula Sn = n/2(a1 + an).
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.
This slide focuses on finding the values of the specific term and the common difference of an arithmetic sequence described by a given succession of numbers and patterns.
The document discusses arithmetic and geometric sequences and series. It defines arithmetic and geometric sequences, and provides the formulas for calculating the nth term of each type of sequence. Specifically, it states that the formula for the nth term of an arithmetic sequence is Tn = a + (n-1)d, where a is the first term and d is the common difference. The formula for the nth term of a geometric sequence is Tn = arn-1, where a is the first term and r is the common ratio. The document also provides examples of using these formulas to find terms, common differences or ratios, and to write the formulas for given sequences.
The document discusses sequences and series, including arithmetic and geometric sequences and series. It provides examples and formulas to find terms of sequences and the sums of finite and infinite series. It also gives exercises with solutions to apply these concepts, such as finding specific terms, determining sums, and solving application problems involving sequences and series.
This document provides information about number patterns, sequences, and series. It defines recursive and explicit formulas for sequences and discusses arithmetic and geometric sequences. For arithmetic sequences, the common difference is constant between terms. For geometric sequences, the common ratio between consecutive terms is constant. Formulas are provided to find later terms in sequences, whether defined recursively or explicitly. Examples are given to practice identifying sequence types and using the formulas to find missing or future terms.
The document discusses linear sequences and how to find the formula for the nth term of a linear sequence. It provides examples of sequences where the difference between terms is constant, and explains that this allows you to write the formula in the form of an + b, where a is the constant difference and b is a correction term. It also discusses using the formula to determine if a given number is part of the sequence.
1. An arithmetic sequence is a sequence where each term is calculated by adding a fixed amount, called the common difference, to the previous term.
2. The common difference is found by subtracting the first term from the second term. This yields the constant value that is added to each term to generate the next term.
3. Formulas can be used to find a specific term in an arithmetic sequence or the sum of terms, given the first term, common difference, and number of terms.
The document introduces sequences and series. It discusses revising linear and quadratic sequences. It introduces arithmetic sequences, which have a constant difference between terms, and geometric sequences, which have a constant ratio between terms. It provides examples of determining the general term and specific terms of arithmetic and geometric sequences. Formulas are given for the general terms of both arithmetic (Tn = a + (n-1)d) and geometric (Tn = arn-1) sequences.
Arithmetic Sequence and Arithmetic SeriesJoey Valdriz
The document provides information about arithmetic sequences and arithmetic series. It defines an arithmetic sequence as a sequence of numbers where each term after the first is obtained by adding the same constant to the previous term. It gives examples of arithmetic sequences and explains how to find the common difference, the nth term of a sequence using the general formula, and how to solve problems involving arithmetic sequences and series. The last paragraph tells a story about how Carl Friedrich Gauss was able to quickly calculate the sum of all numbers from 1 to 100 by recognizing it as an arithmetic series.
This document defines patterns and sequences. Patterns refer to rules or procedures that can be used to predict future terms. A sequence is an arrangement of numbers in a particular order. There are two main types of sequences: arithmetic sequences, where the difference between consecutive terms is constant, and geometric sequences, where each term is found by multiplying the previous term by a fixed value. Examples are provided to demonstrate finding subsequent terms in arithmetic and geometric sequences.
The document discusses arithmetic sequences and series, including how to determine if a sequence is arithmetic, how to find subsequent terms using the common difference, and how to calculate the sum of the first n terms of an arithmetic series using the arithmetic series formula. Examples are provided to illustrate how to identify arithmetic sequences, calculate missing terms, find common differences, and compute sums of arithmetic series.
This document provides information about geometric sequences. It defines a geometric sequence as a sequence where each term is obtained by multiplying the preceding term by a common ratio. The key points are:
- A geometric sequence is defined by a common ratio r that is used to multiply the preceding term to obtain the next term.
- To find missing terms, the common ratio r is used to multiply or divide the preceding term.
- The formula for the nth term an of a geometric sequence is an = a1rn-1, where a1 is the first term and r is the common ratio.
- Examples are provided to demonstrate finding missing terms and calculating the nth term using the formula.
- The
This document covers arithmetic sequences, including defining arithmetic sequences as sequences where each term is obtained by adding a constant to the previous term. It provides examples of determining whether a sequence is arithmetic and calculating the nth term and sum of terms using formulas. The document also discusses inserting arithmetic means between terms and solving problems involving arithmetic sequences.
The document discusses patterns in nature and mathematics. It defines a pattern as a visible regularity or order. Patterns can be seen in nature, such as stripes and spots on animals. Mathematics studies patterns, and patterns can also be observed in phenomena like the movement of stars. The document presents examples of logic patterns, number patterns, and word patterns. It provides word and number puzzles to identify the next item in a sequence. The goal is to help readers recognize commonly used patterns.
The document provides information about sequences, including defining characteristics, types of sequences, general terms of sequences, recursive and explicit formulas, and examples. It discusses finite and infinite sequences, terms in a sequence, writing the general nth term as a function, and finding specific terms. Examples of sequences include the Fibonacci sequence and using the golden ratio in photography. Worked problems demonstrate finding terms of sequences given their formulas.
Grade 10 Math Module 1 searching for patterns, sequence and seriesJocel Sagario
This module introduces sequences and their different types. It discusses finding patterns in sequences to determine the next term. Specific examples are provided to demonstrate writing the first few terms of a sequence given its general formula. The key concepts covered are defining sequences, finite vs infinite sequences, terms of a sequence, increasing vs decreasing sequences, and using the general formula to find specific terms. Students are expected to be able to list terms of sequences, derive the formula, generate terms recursively, and describe arithmetic sequences in different ways.
The document discusses sequence formulas, including direct and recursive formulas. It provides examples of sequences defined by direct formulas like the sequence where the nth term is defined as An = 9n + 3. It then explains that a recursive formula defines each term of a sequence using preceding terms, and must state the initial term(s). It gives examples of calculating sequence terms using general formulas and recursion equations. Finally, it briefly mentions the famous Fibonacci sequence and its applications.
This document provides information about arithmetic sequences. It defines an arithmetic sequence as a sequence whose consecutive terms have a common difference. The nth term of an arithmetic sequence can be found using the formula an = a1 + (n-1)d, where a1 is the first term, n is the term number, and d is the common difference. The document gives examples of identifying whether a sequence is arithmetic and finding the nth term and next terms of arithmetic sequences using the formula. It also defines arithmetic mean as the term between two non-consecutive terms and arithmetic series as the sum of terms of an arithmetic sequence found using the formula Sn = n/2(a1 + an).
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.
This slide focuses on finding the values of the specific term and the common difference of an arithmetic sequence described by a given succession of numbers and patterns.
The document discusses arithmetic and geometric sequences and series. It defines arithmetic and geometric sequences, and provides the formulas for calculating the nth term of each type of sequence. Specifically, it states that the formula for the nth term of an arithmetic sequence is Tn = a + (n-1)d, where a is the first term and d is the common difference. The formula for the nth term of a geometric sequence is Tn = arn-1, where a is the first term and r is the common ratio. The document also provides examples of using these formulas to find terms, common differences or ratios, and to write the formulas for given sequences.
The document discusses sequences and series, including arithmetic and geometric sequences and series. It provides examples and formulas to find terms of sequences and the sums of finite and infinite series. It also gives exercises with solutions to apply these concepts, such as finding specific terms, determining sums, and solving application problems involving sequences and series.
This document provides information about number patterns, sequences, and series. It defines recursive and explicit formulas for sequences and discusses arithmetic and geometric sequences. For arithmetic sequences, the common difference is constant between terms. For geometric sequences, the common ratio between consecutive terms is constant. Formulas are provided to find later terms in sequences, whether defined recursively or explicitly. Examples are given to practice identifying sequence types and using the formulas to find missing or future terms.
The document discusses linear sequences and how to find the formula for the nth term of a linear sequence. It provides examples of sequences where the difference between terms is constant, and explains that this allows you to write the formula in the form of an + b, where a is the constant difference and b is a correction term. It also discusses using the formula to determine if a given number is part of the sequence.
1. An arithmetic sequence is a sequence where each term is calculated by adding a fixed amount, called the common difference, to the previous term.
2. The common difference is found by subtracting the first term from the second term. This yields the constant value that is added to each term to generate the next term.
3. Formulas can be used to find a specific term in an arithmetic sequence or the sum of terms, given the first term, common difference, and number of terms.
Semelhante a Mathematics Grade 6 - Number Patterns.ppsx (20)
Math 6 - Solving Problems Involving Algebraic Expressions and Equations.pptxmenchreo
The document provides examples and steps for solving algebraic expressions and equations. It includes examples of simplifying expressions, evaluating expressions given variable values, solving equations using transposition methods, determining if a given variable value makes an equation true, and combining like terms. The examples cover topics like evaluating expressions, solving one-step equations, determining variable values that make statements true, and combining algebraic expressions.
Dividing integers involves describing and interpreting the division of positive and negative numbers using appropriate strategies. Students should cooperate in groups to practice dividing integers, using tools like number lines to solve routine and non-routine problems. Examples shown divide positive and negative numbers and use number lines to represent dividing rays into equal parts based on the divisor.
1) The document discusses multiplying integers and using appropriate strategies like number lines and tiles to represent the multiplication.
2) It provides an example of -2 x 5 = -10 to illustrate that multiplying a negative integer by a positive integer results in a negative product.
3) It asks what operation should be used to solve the problem +250 x +8 and provides the solution.
The document provides examples and explanations for solving problems involving subtraction of integers. It includes word problems involving collecting sacks of rice and comparing temperatures that are solved using integer subtraction. Mathematical sentences are provided to represent the problems and solutions are shown using integers, number lines and algebra tiles. Key aspects of integer subtraction such as keeping the sign of the first number and changing the sign of the second number are explained.
This document provides examples of how to solve addition and subtraction problems involving integers. It gives step-by-step worked examples of adding and subtracting positive and negative integers using number lines and algebra tiles. It also provides word problems to solve involving concepts like temperature changes, book pages read, weights, bank deposits and withdrawals, and submarine depths. The key steps shown are to add the integers when their signs are the same and subtract when the signs are different, copying the sign of the integer with the greater absolute value.
The document discusses integers and how to identify whether situations involve positive or negative integers. It defines integers as the numbers that can be positive, negative, or zero, and notes that positive integers are greater than zero and located to the right of zero on the number line, while negative integers are less than zero and located to the left of zero. The document provides examples of situations and identifies whether they would be considered positive or negative integers based on their position relative to zero on the number line.
The document provides learning targets and examples for applying the order of operations, known as GEMDAS (Grouping, Exponent, Multiplication, Division, Addition, Subtraction), to solve equations with multiple mathematical operations. It gives the steps to solve equations by first performing operations inside grouping symbols, then exponents, then multiplication/division from left to right, and finally addition/subtraction from left to right. Sample problems are worked through as examples.
Math 6 - Application of Percent (Commission, Simple Interest, Percent of Incr...menchreo
This document discusses key concepts related to commission, interest, and markup. It provides formulas and examples for calculating commission as a percentage of total sales, interest as the principal times rate times time, and markup as the original cost times the markup rate with selling price equal to original cost plus markup. An example is given of calculating the 6% commission on a ₱3,500,000 house sale.
Math 6 - Application of Percent (Discount, Sale Price & Rate of Discount).pptxmenchreo
The document discusses key concepts related to percent including:
- The three components of a percent problem are the percentage, base, and rate
- Percent is used to calculate things like exam scores, discounts at restaurants, and price changes
- Examples are provided to demonstrate calculating discount amounts, original prices, sale prices, and determining the rate of discount based on the discount and original price.
This document contains several ratio word problems and their corresponding learning targets. Specifically:
1) It asks the reader to find values for n given specific ratios.
2) It asks the reader to determine which of two ratios is greater.
3) It presents word problems involving ratios of boys to girls, cuts of meat to cups of mixture, and the sides of a triangle to its perimeter.
4) It asks the reader to determine the original number of boys in a library given changes in ratios of boys to girls.
Math 6 - Understanding Proportion (Activities)menchreo
The document provides examples of setting up proportions to solve word problems. It includes setting up proportions for problems involving ratios of items in a basket, hours spent watching TV, teachers to students, distance traveled based on gas usage, calories burned walking, workers needed to paint a building, distance traveled based on speed, amounts of fish sold daily, and numbers of tables and chairs. The document emphasizes writing proportions as a first step to solving word problems.
The document discusses proportions and ratios. It provides examples of setting up proportions to determine better buys based on price and quantity, finding missing terms in proportions, and identifying statements that do and do not represent proportions. It also asks students to consider if God created humans proportionally and to reflect on why.
The document defines key terms related to percentages, including defining a percentage as a fraction with a denominator of 100 or a decimal in the hundredths place. It provides examples of converting between percentages, fractions, and decimals. Several examples are given of calculating percentages for parts of a whole using diagrams of squares. The document emphasizes best practices for solving routine and non-routine percentage problems using appropriate strategies and tools.
This document discusses ratios, rates, and unit rates. It defines ratios as a comparison of two quantities or numbers, and rates as a special type of ratio that compares measurements with different units. Key points include:
- Ratios can be written in colon, fraction, or word form and show the relationship between parts or parts to a whole.
- Rates compare similar units, while ratios can compare different units. Rates express one quantity per unit of another.
- Unit rate is a rate where the denominator is 1 unit, allowing direct comparison between items or events.
The document defines key terms related to percentages, including defining percentage as "per hundred" or a fraction with a denominator of 100. It provides examples of converting between percentages, fractions, and decimals. Several examples are given of calculating percentages for parts of a whole using pictures of squares. The document emphasizes best practices for solving percentage problems using appropriate strategies and tools.
The document discusses the term LCM (least common multiple) and defines it as the smallest whole number that is evenly divisible by two or more given whole numbers. It then lists and describes four different methods for finding the LCM of numbers: the listing method, factor tree method, continuous division method, and prime factorization method. Finally, it provides three word problems asking the reader to determine the LCM to find the next time events will occur simultaneously.
This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
Chapter wise All Notes of First year Basic Civil Engineering.pptxDenish Jangid
Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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.
Temple of Asclepius in Thrace. Excavation resultsKrassimira Luka
The temple and the sanctuary around were dedicated to Asklepios Zmidrenus. This name has been known since 1875 when an inscription dedicated to him was discovered in Rome. The inscription is dated in 227 AD and was left by soldiers originating from the city of Philippopolis (modern Plovdiv).
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.
2. LEARNING TARGET:
a. formulate the rule in finding the nth
term using different strategies;
c. write terms of a sequence through
the general nth rule.
b. appreciate patterns as a part of hints
in life to make sure you don’t repeat your
mistakes; and
3. is a set that consists of
objects or numbers in
which the object or
numbers are related to
one another by a certain
rule
4. is a list of numbers
that follow a
certain pattern or
sequence
7. is a general expression
used to denote the
number in the nth
position in the
sequence
8. S
E
Q
U
E
N
C
E
Infinite Finite
is a sequence that
does not end- it
goes on forever
Usually, this
sequence has
three dots or
ellipsis at the end
of the last term
is a
sequence
that ends
9. S
E
Q
U
E
N
C
E
Arithmetic Geometric
are formed by
adding or
subtracting a
common
difference to
the terms in
the patterns
are formed by
multiplying or
dividing a
common ratio to
the terms in
the number
pattern