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Probability of Simple and Compound EventsJoey Valdriz
This document contains a lesson plan on probability for students. It begins with definitions of key probability terms and examples of calculating probabilities of simple and compound events. It then provides word problems for students to practice calculating probabilities. The document concludes with additional practice problems for students to answer. The overall document provides instruction and practice on fundamental concepts in probability.
This document provides information about rational algebraic expressions. It defines a rational algebraic expression as a ratio of two polynomials where the denominator is not equal to zero. It gives examples of rational expressions like 7x/2y and 10x-5/(x+3). It explains that rational expressions are defined for all real numbers except those that would make the denominator equal to zero. The document also discusses how to simplify rational expressions by factoring the numerator and denominator and cancelling common factors. It provides examples of when cancellation is and is not allowed.
The document provides information about triangle congruence, including:
1. There are three postulates for proving triangles are congruent: side-side-side (SSS), side-angle-side (SAS), and angle-side-angle (ASA).
2. The SSS postulate states that if three sides of one triangle are congruent to three sides of a second triangle, then the triangles are congruent.
3. The SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.
4. The ASA postulate states that if two angles
This document contains information about a 7th grade math class that focuses on sets:
- It provides examples of well-defined sets like a set of objects that can be worn and a set of yellow objects. A well-defined set has exact elements where membership is clear.
- Students are asked to group objects, identify how many groups they can form, and find objects that belong to more than one group to demonstrate understanding of sets.
- The concept of a set is defined as a group or collection of objects where each object is called a member or element. Examples are provided to demonstrate set notation using the symbols ∈ to mean "is an element of" and ∉ to mean "is not an
If you are looking for math video tutorials (with voice recording), you may download it on our YouTube Channel. Don't forget to SUBSCRIBE for you to get updated on our upcoming videos.
https://tinyurl.com/y9muob6q
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Probability of Simple and Compound EventsJoey Valdriz
This document contains a lesson plan on probability for students. It begins with definitions of key probability terms and examples of calculating probabilities of simple and compound events. It then provides word problems for students to practice calculating probabilities. The document concludes with additional practice problems for students to answer. The overall document provides instruction and practice on fundamental concepts in probability.
This document provides information about rational algebraic expressions. It defines a rational algebraic expression as a ratio of two polynomials where the denominator is not equal to zero. It gives examples of rational expressions like 7x/2y and 10x-5/(x+3). It explains that rational expressions are defined for all real numbers except those that would make the denominator equal to zero. The document also discusses how to simplify rational expressions by factoring the numerator and denominator and cancelling common factors. It provides examples of when cancellation is and is not allowed.
The document provides information about triangle congruence, including:
1. There are three postulates for proving triangles are congruent: side-side-side (SSS), side-angle-side (SAS), and angle-side-angle (ASA).
2. The SSS postulate states that if three sides of one triangle are congruent to three sides of a second triangle, then the triangles are congruent.
3. The SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.
4. The ASA postulate states that if two angles
This document contains information about a 7th grade math class that focuses on sets:
- It provides examples of well-defined sets like a set of objects that can be worn and a set of yellow objects. A well-defined set has exact elements where membership is clear.
- Students are asked to group objects, identify how many groups they can form, and find objects that belong to more than one group to demonstrate understanding of sets.
- The concept of a set is defined as a group or collection of objects where each object is called a member or element. Examples are provided to demonstrate set notation using the symbols ∈ to mean "is an element of" and ∉ to mean "is not an
This document contains definitions and examples of postulates and theorems in geometry. It defines a postulate as a statement accepted as true without proof, while a theorem is an important statement that must be proved. It lists several postulates, including that a line contains at least two points, through any two points there is exactly one line, and through any three noncollinear points there is exactly one plane. It also lists some theorems, such as if two lines intersect then they intersect at exactly one point, and if two lines intersect then exactly one plane contains the lines.
The document discusses the key components of a mathematical system:
1. Undefined terms are concepts that cannot be precisely defined, such as points, lines, and planes in geometry.
2. Defined terms have a formal definition using undefined terms or other defined terms, such as line segments, rays, and collinear/coplanar points.
3. Axioms or postulates are statements assumed to be true without proof, which can be used to prove theorems.
4. Theorems are statements that have been formally proven using axioms, postulates and previously proven theorems. The four components are related such that defined terms are defined using undefined terms, axioms are
This document defines and provides examples of sets and basic set operations. It introduces sets as collections of objects without duplication or regard for order. It describes properties of sets like subsets, the empty set, cardinality, and power sets. The document also defines Cartesian products as ordered tuples from multiple sets and set operations like union and intersection. Examples are provided to illustrate set membership, subsets, Cartesian products, and how union and intersection combine sets.
Sets is the first lesson in Mathematics 7. This lesson introduces the basic terms. For more presentations visit me on YouTube. https://www.youtube.com/channel/UCltDbhOXh6r9FyYE52rWzCQ/playlists?shelf_id=18&view_as=subscriber&sort=dd&view=50
This powerpoint presentation is an introduction for the topic TRIANGLE CONGRUENCE. This topic is in Grade 8 Mathematics. I hope that you will learn something from this sides.
The document discusses set operations of union and intersection. The union of sets contains all elements that are in any of the sets, while the intersection contains only elements that are common to all sets. This is demonstrated through examples using Venn diagrams to visually represent the relationships between sets. Specific symbols are used to denote union (∪) and intersection (∩).
This will help you in illustrating operations on sets using Venn Diagram. Also, how to find the intersection, union, complement and difference of two sets.
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Semi - Detailed Lesson Plan about Rectangular Coordinate System. There is a lot of activities here. Try to send me a message so that I could send you a worksheet.
References are from Google.com.
This document is a daily lesson log for an 8th grade mathematics class. It outlines the objectives, content, learning resources, and procedures for lessons on linear equations in two variables and systems of linear equations in two variables over the course of a week. The lessons focus on demonstrating understanding of key concepts, formulating problems, and finding and graphing equations. Activities include class discussions, examples, practice problems, and assessments. The log also includes reflections on student learning and areas for improvement.
The document discusses inverse variation and provides examples to illustrate the concept. It begins by showing two tables with values that demonstrate an inverse relationship between variables x and y. It then provides the definition of inverse variation as a situation where an increase in one variable causes a decrease in the other, such that their product is constant. Examples are given of relationships that demonstrate inverse variation, such as the number of people sharing a pizza relating inversely to the number of slices. The document also contains a word problem demonstrating how to set up and solve an equation using the inverse variation relationship.
This document discusses organizing data using frequency distributions. It explains how to construct a frequency table and histogram. A frequency table lists data grouped into intervals and the frequency of each interval. It is made by tallying data values and counting the tally marks. A histogram is a bar graph that shows the frequency distribution of interval data, with bar height proportional to frequency. The document provides an example and instructions for making a frequency table and histogram from a set of shoe size data.
There are two methods to represent or write a set:
1. Listing Method/Roster Method: All elements of a set are listed within curly brackets, with each element written only once and separated by commas.
2. Rule Method/Set Builder Form: Instead of listing elements, a variable is used followed by a property that all elements of the set possess. This property describes the common traits of all elements in the set.
This document provides a lesson on the complement of a set. It begins with an example problem about student populations to introduce the concept. The lesson then defines the complement of a set A as the set of all elements in the universal set U that are not in A. It explains how to find the complement using a Venn diagram and the formula that the cardinality of the complement is equal to the total elements of U minus the elements of A. Several examples are provided to illustrate computing and representing complements of sets using Venn diagrams. The lesson concludes by solving the initial problem about student selection using the complement concept.
Union and intersection of events (math 10)Damone Odrale
The document discusses probability concepts like sample space, number of outcomes of an event, and calculating probability. It provides examples like rolling a die, picking balls from an urn, and drawing cards from a deck. It also covers compound events and calculating probability for multiple outcomes. The examples are meant to illustrate key probability terms and how to set up and solve probability problems.
K TO 12 GRADE 7 LEARNING MODULE IN MATHEMATICS (Q1-Q2)LiGhT ArOhL
The document provides information about sets and set operations including:
1) It defines the complement of a set as the elements in the universal set that are not in the given set.
2) It provides examples of finding the complement of sets and using Venn diagrams to represent complements.
3) It solves a word problem about selecting a student who is not a sophomore by finding the complement of the set of sophomores.
The document discusses probability and events, defining key terms like experiment, outcome, sample space, and event. It provides examples of simple and compound events, and explains how to calculate the probability of simple events using the formula of number of outcomes in the event over the total number of possible outcomes. Rules for probability are also outlined, such as the probability of any event being between 0 and 1 and the sum of probabilities of all outcomes equaling 1.
Linear Equations and Inequalities in One Variablemisey_margarette
The document discusses linear equations and inequalities in one variable. It defines linear equations and inequalities, and describes methods for solving them including: guess-and-check, cover-up, and working backwards. It also covers properties of equality and inequality, and provides examples of solving linear equations and inequalities using these properties and graphical representations of solution sets on number lines.
This document provides instructions on graphing polynomial functions. It discusses identifying the roots, x-intercepts, and y-intercept from the factored form of the polynomial. It shows working through an example of graphing the function y = (x – 2)(x – 1)(x + 3). The key steps are:
1. Identify the roots and y-intercept
2. Arrange the roots in a table
3. Complete the table by calculating y-values for different x-values
4. Plot the points on a graph
5. Sketch the graph
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References:
Nivera, G. C. (2015), Grade 10 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
Mathematics Grade 10 Learner's Module (2015). Department of Education
For more instructional resources CLICK me here and please DON'T FORGET TO SUBSCRIBE.
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References:
Nivera, G. C. (2015), Grade 10 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
Mathematics Grade 10 Learner's Module (2015). Department of Education
This document contains definitions and examples of postulates and theorems in geometry. It defines a postulate as a statement accepted as true without proof, while a theorem is an important statement that must be proved. It lists several postulates, including that a line contains at least two points, through any two points there is exactly one line, and through any three noncollinear points there is exactly one plane. It also lists some theorems, such as if two lines intersect then they intersect at exactly one point, and if two lines intersect then exactly one plane contains the lines.
The document discusses the key components of a mathematical system:
1. Undefined terms are concepts that cannot be precisely defined, such as points, lines, and planes in geometry.
2. Defined terms have a formal definition using undefined terms or other defined terms, such as line segments, rays, and collinear/coplanar points.
3. Axioms or postulates are statements assumed to be true without proof, which can be used to prove theorems.
4. Theorems are statements that have been formally proven using axioms, postulates and previously proven theorems. The four components are related such that defined terms are defined using undefined terms, axioms are
This document defines and provides examples of sets and basic set operations. It introduces sets as collections of objects without duplication or regard for order. It describes properties of sets like subsets, the empty set, cardinality, and power sets. The document also defines Cartesian products as ordered tuples from multiple sets and set operations like union and intersection. Examples are provided to illustrate set membership, subsets, Cartesian products, and how union and intersection combine sets.
Sets is the first lesson in Mathematics 7. This lesson introduces the basic terms. For more presentations visit me on YouTube. https://www.youtube.com/channel/UCltDbhOXh6r9FyYE52rWzCQ/playlists?shelf_id=18&view_as=subscriber&sort=dd&view=50
This powerpoint presentation is an introduction for the topic TRIANGLE CONGRUENCE. This topic is in Grade 8 Mathematics. I hope that you will learn something from this sides.
The document discusses set operations of union and intersection. The union of sets contains all elements that are in any of the sets, while the intersection contains only elements that are common to all sets. This is demonstrated through examples using Venn diagrams to visually represent the relationships between sets. Specific symbols are used to denote union (∪) and intersection (∩).
This will help you in illustrating operations on sets using Venn Diagram. Also, how to find the intersection, union, complement and difference of two sets.
For more instructional resources, CLICK me here!
https://tinyurl.com/y9muob6q
LIKE and FOLLOW me here!
https://tinyurl.com/ycjp8r7u
https://tinyurl.com/ybo27k2u
Semi - Detailed Lesson Plan about Rectangular Coordinate System. There is a lot of activities here. Try to send me a message so that I could send you a worksheet.
References are from Google.com.
This document is a daily lesson log for an 8th grade mathematics class. It outlines the objectives, content, learning resources, and procedures for lessons on linear equations in two variables and systems of linear equations in two variables over the course of a week. The lessons focus on demonstrating understanding of key concepts, formulating problems, and finding and graphing equations. Activities include class discussions, examples, practice problems, and assessments. The log also includes reflections on student learning and areas for improvement.
The document discusses inverse variation and provides examples to illustrate the concept. It begins by showing two tables with values that demonstrate an inverse relationship between variables x and y. It then provides the definition of inverse variation as a situation where an increase in one variable causes a decrease in the other, such that their product is constant. Examples are given of relationships that demonstrate inverse variation, such as the number of people sharing a pizza relating inversely to the number of slices. The document also contains a word problem demonstrating how to set up and solve an equation using the inverse variation relationship.
This document discusses organizing data using frequency distributions. It explains how to construct a frequency table and histogram. A frequency table lists data grouped into intervals and the frequency of each interval. It is made by tallying data values and counting the tally marks. A histogram is a bar graph that shows the frequency distribution of interval data, with bar height proportional to frequency. The document provides an example and instructions for making a frequency table and histogram from a set of shoe size data.
There are two methods to represent or write a set:
1. Listing Method/Roster Method: All elements of a set are listed within curly brackets, with each element written only once and separated by commas.
2. Rule Method/Set Builder Form: Instead of listing elements, a variable is used followed by a property that all elements of the set possess. This property describes the common traits of all elements in the set.
This document provides a lesson on the complement of a set. It begins with an example problem about student populations to introduce the concept. The lesson then defines the complement of a set A as the set of all elements in the universal set U that are not in A. It explains how to find the complement using a Venn diagram and the formula that the cardinality of the complement is equal to the total elements of U minus the elements of A. Several examples are provided to illustrate computing and representing complements of sets using Venn diagrams. The lesson concludes by solving the initial problem about student selection using the complement concept.
Union and intersection of events (math 10)Damone Odrale
The document discusses probability concepts like sample space, number of outcomes of an event, and calculating probability. It provides examples like rolling a die, picking balls from an urn, and drawing cards from a deck. It also covers compound events and calculating probability for multiple outcomes. The examples are meant to illustrate key probability terms and how to set up and solve probability problems.
K TO 12 GRADE 7 LEARNING MODULE IN MATHEMATICS (Q1-Q2)LiGhT ArOhL
The document provides information about sets and set operations including:
1) It defines the complement of a set as the elements in the universal set that are not in the given set.
2) It provides examples of finding the complement of sets and using Venn diagrams to represent complements.
3) It solves a word problem about selecting a student who is not a sophomore by finding the complement of the set of sophomores.
The document discusses probability and events, defining key terms like experiment, outcome, sample space, and event. It provides examples of simple and compound events, and explains how to calculate the probability of simple events using the formula of number of outcomes in the event over the total number of possible outcomes. Rules for probability are also outlined, such as the probability of any event being between 0 and 1 and the sum of probabilities of all outcomes equaling 1.
Linear Equations and Inequalities in One Variablemisey_margarette
The document discusses linear equations and inequalities in one variable. It defines linear equations and inequalities, and describes methods for solving them including: guess-and-check, cover-up, and working backwards. It also covers properties of equality and inequality, and provides examples of solving linear equations and inequalities using these properties and graphical representations of solution sets on number lines.
This document provides instructions on graphing polynomial functions. It discusses identifying the roots, x-intercepts, and y-intercept from the factored form of the polynomial. It shows working through an example of graphing the function y = (x – 2)(x – 1)(x + 3). The key steps are:
1. Identify the roots and y-intercept
2. Arrange the roots in a table
3. Complete the table by calculating y-values for different x-values
4. Plot the points on a graph
5. Sketch the graph
For more instructional resources CLICK me here and please DON'T FORGET TO SUBSCRIBE.
https://tinyurl.com/y9muob6q
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https://www.slideshare.net/FreeMathVi...
https://www.slideshare.net/ArielRogon2
References:
Nivera, G. C. (2015), Grade 10 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
Mathematics Grade 10 Learner's Module (2015). Department of Education
For more instructional resources CLICK me here and please DON'T FORGET TO SUBSCRIBE.
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References:
Nivera, G. C. (2015), Grade 10 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
Mathematics Grade 10 Learner's Module (2015). Department of Education
For more instructional resources, CLICK me here and DON'T FORGET TO SUBSCRIBE!
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Reference:
Nivera, G. C. (2013), Grade 7 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
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References:
Oronce, O. A., Mendoza, M.O. (2018), Grade 8 Mathematics: Exploring Math. Rex Publishing, Manila, Philippines.
Nivera, G. C. (2013), Grade 8 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
For more instructional resources, CLICK me here and DON'T FORGET TO SUBSCRIBE!
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Reference:
Nivera, G. C. (2013), Grade 7 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
For more instructional resources, CLICK me here and DON'T FORGET TO SUBSCRIBE!
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Reference:
Nivera, G. C. (2013), Grade 7 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
Addition and Subtraction of Rational Expressions with Like DenominatorsFree Math Powerpoints
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This document provides an overview of teaching addition of integers in the 7th grade mathematics curriculum for the first quarter. It introduces three methods for adding integers: using colored counters, a number line, and rules for same and different signs. Examples are provided for adding integers with these different methods. Students are then given practice problems to solve on their own and check their work against an answer key.
Geometric Series and Finding the Sum of Finite Geometric SequenceFree Math Powerpoints
This document provides instruction on finding the sum of finite geometric sequences. It defines a geometric series as the sum of terms in a geometric sequence. It gives examples of finding the sum of the first n terms when the ratio r is -1, 1, or another value. The key formula provided is Sn = a1rn-1/(r-1) for finding the sum of a finite geometric sequence, where a1 is the first term, r is the common ratio, and n is the number of terms. An example problem applies this to find the total distance traveled by a ball bouncing repeatedly to 40% of its previous height.
1) The document discusses geometric sequences and their properties including defining the common ratio, finding the nth term, and identifying whether example sequences are geometric.
2) It provides examples of calculating the common ratio, next terms, and determining if sequences are geometric.
3) An example problem is worked out finding the number infected on the 6th day of a measles outbreak where the number doubles every day.
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Reference:
Nivera, G. C. (2013), Grade 7 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
If you are looking for math video tutorials (with voice recording), you may download it on our YouTube Channel. Don't forget to SUBSCRIBE for you to get updated on our upcoming videos.
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If you are looking for math video tutorials (with voice recording), you may download it on our YouTube Channel. Don't forget to SUBSCRIBE for you to get updated on our upcoming videos.
https://tinyurl.com/y9muob6q
Also, please do visit our page, LIKE and FOLLOW us on Facebook!
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If you are looking for math video tutorials (with voice recording), you may download it on our YouTube Channel. Don't forget to SUBSCRIBE for you to get updated on our upcoming videos.
https://tinyurl.com/y9muob6q
Also, please do visit our page, LIKE and FOLLOW us on Facebook!
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If you are looking for math video tutorials (with voice recording), you may download it on our YouTube Channel. Don't forget to SUBSCRIBE for you to get updated on our upcoming videos.
https://tinyurl.com/y9muob6q
Also, please do visit our page, LIKE and FOLLOW us on Facebook!
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This will help you in evaluating summation notation.
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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).
How Barcodes Can Be Leveraged Within Odoo 17Celine George
In this presentation, we will explore how barcodes can be leveraged within Odoo 17 to streamline our manufacturing processes. We will cover the configuration steps, how to utilize barcodes in different manufacturing scenarios, and the overall benefits of implementing this technology.
This presentation was provided by Racquel Jemison, Ph.D., Christina MacLaughlin, Ph.D., and Paulomi Majumder. Ph.D., all of the American Chemical Society, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.
This presentation was provided by Rebecca Benner, Ph.D., of the American Society of Anesthesiologists, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.
Leveraging Generative AI to Drive Nonprofit InnovationTechSoup
In this webinar, participants learned how to utilize Generative AI to streamline operations and elevate member engagement. Amazon Web Service experts provided a customer specific use cases and dived into low/no-code tools that are quick and easy to deploy through Amazon Web Service (AWS.)
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