Alg1 lesson 3 1
•
0 likes•107 views
The document contains examples of translating sentences to mathematical equations and vice versa. It also includes an example of writing a word problem based on given equations. Specifically, it provides the equations for sentences such as "A number b divided by three is equal to six less than c" and translates equations such as "Twelve minus two times x is negative five" back to sentences. It also shows how to write a word problem based on the equations "f= cost of fries", "f+ 1.50 = cost of a burger", and "4(f + 1.50) + 3f= 9.50".
Report
Share
Report
Share
Recommended
Math journal 1 3
This document provides examples and explanations of various math concepts including translating sentences into mathematical equations, index notation, square and cube numbers, order of operations, factors, integers, adding/subtracting/multiplying/dividing integers, and square and cube roots. It demonstrates how to represent greater than and less than signs algebraically and how to properly write out word problems as math equations based on the operations being performed.
Converting fraction into decimals and vice versa(MAth 7)
This document provides instruction on converting fractions to decimals and vice versa. It begins with examples of writing fractions in simplest form. It then defines different types of decimals, such as terminating, repeating, non-terminating, and non-repeating decimals. Methods for manually converting fractions to decimals are presented, including multiplying the fraction to get a power of ten in the denominator. Examples are provided of writing fractions as decimals and decimals as fractions in simplest form. The document concludes with a lesson quiz as an assignment.
Proofs
1) This document presents proofs for 14 propositions related to a conditional logic-based argumentation framework.
2) The propositions cover topics like when arguments are considered defeaters or challenges to other arguments, conditions for arguments to be quasi-identical, and properties of maximally conservative defeaters.
3) Formal definitions and logic expressions are used throughout the proofs to demonstrate the relationships between the concepts in the argumentation framework.
Changing Fractions Fractional Parts
This document provides instructions and examples for converting fractions to decimals. It explains how to use a calculator to divide the numerator by the denominator to obtain a decimal. It then provides practice problems involving converting fractions of various types to decimals, including proper fractions, mixed numbers, and fractional parts of whole numbers, rounding to different decimal places as indicated. Calculators are used throughout to perform the fraction to decimal conversions.
Polynomials
This document defines polynomials and provides examples of classifying polynomials by number of terms, finding the degree of a polynomial by determining the largest exponent, and writing polynomials in standard form by ordering terms from largest to smallest exponent.
Many relatively prime numbers
There are 180 positive integers less than or equal to 297 that are relatively prime to 297. To calculate this, the problem breaks down the numbers into those that are multiples of 11, 3, and 33 (the prime factors of 297) and uses the inclusion-exclusion principle to account for overlapping multiples. It finds there are 27 multiples of 11, 99 multiples of 3, and 9 multiples of 33, and subtracting the overlapping ones gives the total of 180 numbers relatively prime to 297.
Alg1 lesson 8-4
The document discusses monomials, polynomials, and their degrees. A monomial's degree is the sum of the exponents of its variables. A polynomial is the sum of monomials. The degree of a polynomial is the greatest degree of any term. Examples are provided of finding the degree of polynomials and writing polynomials to represent areas.
Alg1 lesson 8-3
The document defines scientific notation as a number written in the form a x 10n, where 1 ≤ a < 10 and n is an integer. It provides examples of numbers in scientific notation like 4.203 x 10-3 and numbers not in scientific notation like 42.03 x 10-3.
Recommended
Math journal 1 3
This document provides examples and explanations of various math concepts including translating sentences into mathematical equations, index notation, square and cube numbers, order of operations, factors, integers, adding/subtracting/multiplying/dividing integers, and square and cube roots. It demonstrates how to represent greater than and less than signs algebraically and how to properly write out word problems as math equations based on the operations being performed.
Converting fraction into decimals and vice versa(MAth 7)
This document provides instruction on converting fractions to decimals and vice versa. It begins with examples of writing fractions in simplest form. It then defines different types of decimals, such as terminating, repeating, non-terminating, and non-repeating decimals. Methods for manually converting fractions to decimals are presented, including multiplying the fraction to get a power of ten in the denominator. Examples are provided of writing fractions as decimals and decimals as fractions in simplest form. The document concludes with a lesson quiz as an assignment.
Proofs
1) This document presents proofs for 14 propositions related to a conditional logic-based argumentation framework.
2) The propositions cover topics like when arguments are considered defeaters or challenges to other arguments, conditions for arguments to be quasi-identical, and properties of maximally conservative defeaters.
3) Formal definitions and logic expressions are used throughout the proofs to demonstrate the relationships between the concepts in the argumentation framework.
Changing Fractions Fractional Parts
This document provides instructions and examples for converting fractions to decimals. It explains how to use a calculator to divide the numerator by the denominator to obtain a decimal. It then provides practice problems involving converting fractions of various types to decimals, including proper fractions, mixed numbers, and fractional parts of whole numbers, rounding to different decimal places as indicated. Calculators are used throughout to perform the fraction to decimal conversions.
Polynomials
This document defines polynomials and provides examples of classifying polynomials by number of terms, finding the degree of a polynomial by determining the largest exponent, and writing polynomials in standard form by ordering terms from largest to smallest exponent.
Many relatively prime numbers
There are 180 positive integers less than or equal to 297 that are relatively prime to 297. To calculate this, the problem breaks down the numbers into those that are multiples of 11, 3, and 33 (the prime factors of 297) and uses the inclusion-exclusion principle to account for overlapping multiples. It finds there are 27 multiples of 11, 99 multiples of 3, and 9 multiples of 33, and subtracting the overlapping ones gives the total of 180 numbers relatively prime to 297.
Alg1 lesson 8-4
The document discusses monomials, polynomials, and their degrees. A monomial's degree is the sum of the exponents of its variables. A polynomial is the sum of monomials. The degree of a polynomial is the greatest degree of any term. Examples are provided of finding the degree of polynomials and writing polynomials to represent areas.
Alg1 lesson 8-3
The document defines scientific notation as a number written in the form a x 10n, where 1 ≤ a < 10 and n is an integer. It provides examples of numbers in scientific notation like 4.203 x 10-3 and numbers not in scientific notation like 42.03 x 10-3.
msri_up_talk
This document discusses viscosity solution methods for solving the problem of ruin in classical risk theory. It begins by introducing the problem of ruin and defining viscosity solutions. It then presents the classical risk model and derives the risk equation. The goal is to analyze the risk equation using viscosity solution methods after a change of variables. Viscosity solutions allow a broad class of collective risk problems to be studied even when the claims distribution is not smooth.
The two dimensional wave equation
The document discusses solving the 2D wave equation using separation of variables and superposition. It separates the wave equation into ordinary differential equations for the spatial and temporal parts. The solutions to the spatial equations give normal modes, which are combined using superposition to satisfy the initial conditions. As an example, the document finds the solution for a rectangular membrane with a given initial shape.
Fluent and Gambit Workshop
This document provides an overview of computational fluid dynamics (CFD) modeling and simulation using commercial CFD software. It discusses the key steps in the CFD process including defining the geometry, governing equations, boundary conditions, meshing, solving the equations numerically, and post-processing the results. Examples of applications in aerospace, automotive, and other industries are given. The document also summarizes some of the main features and capabilities of the Fluent CFD software.
2D CFD Code Based on MATLAB- As Good As FLUENT!
This document introduces the author's 2D CFD code. It uses an unstructured grid approach and solves the Navier-Stokes equations to calculate velocity and pressure fields. The code is validated against commercial software FLUENT for several benchmark cases including flow in a straight pipe, sudden expansion jet flow, Z-pipe flow, and flow over a square cylinder. Results show good agreement with FLUENT in terms of velocity profiles and vortex structures.
Finite DIfference Methods Mathematica
This document discusses several numerical methods for solving partial differential equations (PDEs) using Mathematica and MATLAB. It covers finite difference methods like FTCS, Lax, Crank-Nicolson for parabolic PDEs. It also discusses Jacobi's method, SOR method for elliptic PDEs and finite difference schemes for hyperbolic PDEs. MATLAB code examples are provided to implement these methods for different PDEs like heat equation, wave equation and Poisson's equation.
Computational Fluid Dynamics (CFD)
Computational fluid dynamics (CFD) is a numerical method used to analyze and solve fluid flow problems. CFD uses the mathematical equations that govern fluid motion and heat transfer to simulate the behavior of fluids. It provides a comprehensive examination of systems through modeling of velocity, pressure, temperature, and other properties without extensive physical testing. CFD has advantages of being relatively low cost, fast, and able to simulate real conditions. Limitations include accuracy depending on physical models and numerical errors from discretization. CFD is commonly used in engineering applications like aerodynamics, automotive, and electronics design.
Chapter1.2
This document provides examples for translating between word phrases, algebraic expressions, and word problems. It shows how to write an algebraic expression from a word phrase or vice versa. Examples are given for writing an expression or word problem to match a given expression and evaluating expressions for given variable values in word problems. The lesson quiz asks students to write expressions from word phrases and an expression and word problem to evaluate a given expression.
1.02e
The document provides a review of multiplication and division concepts including:
1) Examples of relating multiplication and division such as reversing number sentences.
2) Practice problems involving variables such as determining values of variables in equations.
3) A word problem involving dividing a total number of students among classes of equal size.
translating algebraic expression math 7.ppt
The document provides examples for translating word phrases and sentences into mathematical expressions and equations. It includes tables listing common words associated with addition, subtraction, multiplication, division and their corresponding operations. There are also examples of translating phrases and solving equations derived from word sentences. Students are asked to translate phrases and sentences into algebraic expressions and equations.
Vocab maths 8_ratios_and_rates
This document defines key terms related to ratios, rates, scales, fractions, and floor plans. It provides examples for each term, including ratio, rate, scale, scale drawing, fraction, equivalent, solve, problem, receive, distance, and floor plan. The terms are mathematical or spatial concepts used to compare or represent quantitative relationships.
(8) Lesson 2.3 - Write Two-Step Equations
The document provides examples for solving equations, including:
1) Solving linear equations with rational number coefficients by expanding expressions using the distributive property and collecting like terms.
2) Translating sentences into one-variable equations to represent real-world situations and define variables.
3) Writing and solving equations from word problems by letting variables represent unknown quantities and setting up equations equal to the total amounts given.
MATH 6 PPT Q3 W6 - Real-Life Verbal Expressions And Equations Into Letters Or...
This document provides examples for teaching students how to translate phrases and sentences into algebraic expressions and equations. It includes sample phrases and sentences with the corresponding algebraic translations. Students practice translating phrases such as "twelve more than a number" to algebraic expressions like "12+x". The document also provides examples of evaluating algebraic expressions and translating expressions back to verbal phrases.
Writing expressions and formulae
This document provides examples of writing expressions and formulas to represent mathematical relationships:
- It gives examples of writing expressions for the number of items someone has based on relationships given, such as the number of t-shirts Harriet has being 3 times the number of shorts.
- It shows how to write formulas to calculate values on problems, such as the area of a rectangle being length times width.
- It includes a task for students to match days of the 12 Days of Christmas to expressions for the cumulative number of gifts received.
- Finally, it prompts students to write their own formula puzzle task.
The language of algebra
1. The document provides instruction on the language of algebra through defining mathematical symbols and terms, explaining algebraic expressions and variables, and giving examples of translating between verbal and symbolic representations.
2. Key points covered include defining variables, coefficients, exponents, scientific notation, and distinguishing between arithmetical/numerical and algebraic expressions like phrases and sentences.
3. Examples are provided to illustrate symbolic representations of concepts like "a number increased by 5" and how specifying or leaving unspecified the variable allows for open or closed expressions.
QUARTER-2-MODULE-3-TRANSLATING-VERBAL-PHRASES-ALGEBRA-POLYNOMIALS.pptx
This document provides a lesson on translating between English phrases and mathematical expressions. It begins by listing common English phrases used in mathematics and their equivalent symbols or operations, such as "the sum of" being equivalent to addition. Examples are given of translating phrases and sentences between English and mathematical formats. The document also discusses algebraic expressions, polynomials, and the components of terms within expressions like variables, constants, and coefficients. Students are expected to demonstrate skills in translation and differentiating mathematical concepts.
PPT TRANSLATING VERBAL PHRASES.pptx
This document discusses translating between English phrases and mathematical symbols in algebra. It provides examples of common words used in English phrases that translate to addition, subtraction, multiplication, division and other operations. Tables show translations between verbal phrases and algebraic expressions. The document also discusses writing mathematical expressions in English and provides practice problems for translating between the two representations.
1150 day 11
Ratios, proportions, and percents can be used to compare quantities and solve problems. A ratio compares two quantities, like the number of squares to circles. Equal ratios form a proportion, which can be used to solve for unknown values. Percents represent a number out of 100. Common percent calculations include finding a percent of a number and converting between fractions, decimals, and percents. The percent proportion states that the percent equals the part divided by the whole quantity.
1150 day 10
This document covers topics related to repeating decimals, irrational numbers, and square roots. It includes examples of writing repeating decimals as fractions, ordering decimals, finding square roots, and using the Pythagorean theorem. Various math problems are presented along with step-by-step solutions to illustrate these concepts.
1150 day 9
1) Decimals represent numbers using place value with decimal points. To write decimals in expanded form, they are broken into place value terms using positive and negative exponents.
2) Fractions can be converted to decimals using division or by writing the fraction as a ratio of two numbers and setting up a proportion to solve for the decimal.
3) Scientific notation is used to write very large or small numbers in a standard form, such as 3.603 x 107. Operations can be done on decimals by lining up the decimal points or moving them with multiplication/division.
1150 day 8
This document provides an overview of rational numbers including:
- Integers and fractions written in the form a/b where a and b are integers and b ≠ 0
- Equivalent fractions represented by the same number
- Ordering and comparing rational numbers
- Converting between improper fractions and mixed numbers
- Basic operations of addition, subtraction, multiplication, and division of rational numbers
- Word problems involving rational numbers
1150 day 7
This document discusses prime and composite numbers, greatest common divisors (GCD), and least common multiples (LCM). It provides examples of finding the GCD and LCM of various numbers using different methods like the intersection of sets method, prime factorization method, and Euclidean algorithm. Key definitions include: a prime number has exactly two distinct positive divisors, a composite number has factors other than itself and 1, the GCD is the largest integer that divides numbers, and the LCM is the smallest number that is a multiple of the given numbers.
1150 day 6
Integers include positive and negative whole numbers. Absolute value is the distance from zero. Addition and subtraction on a number line involve moving left or right. Multiplication follows patterns based on sign. Division is the inverse of multiplication regarding sign. A number is divisible by another if it can be written as a product of an integer multiple. Divisibility tests identify patterns in a number's digits.
More Related Content
Viewers also liked
msri_up_talk
This document discusses viscosity solution methods for solving the problem of ruin in classical risk theory. It begins by introducing the problem of ruin and defining viscosity solutions. It then presents the classical risk model and derives the risk equation. The goal is to analyze the risk equation using viscosity solution methods after a change of variables. Viscosity solutions allow a broad class of collective risk problems to be studied even when the claims distribution is not smooth.
The two dimensional wave equation
The document discusses solving the 2D wave equation using separation of variables and superposition. It separates the wave equation into ordinary differential equations for the spatial and temporal parts. The solutions to the spatial equations give normal modes, which are combined using superposition to satisfy the initial conditions. As an example, the document finds the solution for a rectangular membrane with a given initial shape.
Fluent and Gambit Workshop
This document provides an overview of computational fluid dynamics (CFD) modeling and simulation using commercial CFD software. It discusses the key steps in the CFD process including defining the geometry, governing equations, boundary conditions, meshing, solving the equations numerically, and post-processing the results. Examples of applications in aerospace, automotive, and other industries are given. The document also summarizes some of the main features and capabilities of the Fluent CFD software.
2D CFD Code Based on MATLAB- As Good As FLUENT!
This document introduces the author's 2D CFD code. It uses an unstructured grid approach and solves the Navier-Stokes equations to calculate velocity and pressure fields. The code is validated against commercial software FLUENT for several benchmark cases including flow in a straight pipe, sudden expansion jet flow, Z-pipe flow, and flow over a square cylinder. Results show good agreement with FLUENT in terms of velocity profiles and vortex structures.
Finite DIfference Methods Mathematica
This document discusses several numerical methods for solving partial differential equations (PDEs) using Mathematica and MATLAB. It covers finite difference methods like FTCS, Lax, Crank-Nicolson for parabolic PDEs. It also discusses Jacobi's method, SOR method for elliptic PDEs and finite difference schemes for hyperbolic PDEs. MATLAB code examples are provided to implement these methods for different PDEs like heat equation, wave equation and Poisson's equation.
Computational Fluid Dynamics (CFD)
Computational fluid dynamics (CFD) is a numerical method used to analyze and solve fluid flow problems. CFD uses the mathematical equations that govern fluid motion and heat transfer to simulate the behavior of fluids. It provides a comprehensive examination of systems through modeling of velocity, pressure, temperature, and other properties without extensive physical testing. CFD has advantages of being relatively low cost, fast, and able to simulate real conditions. Limitations include accuracy depending on physical models and numerical errors from discretization. CFD is commonly used in engineering applications like aerodynamics, automotive, and electronics design.
Viewers also liked (6)
Similar to Alg1 lesson 3 1
Chapter1.2
This document provides examples for translating between word phrases, algebraic expressions, and word problems. It shows how to write an algebraic expression from a word phrase or vice versa. Examples are given for writing an expression or word problem to match a given expression and evaluating expressions for given variable values in word problems. The lesson quiz asks students to write expressions from word phrases and an expression and word problem to evaluate a given expression.
1.02e
The document provides a review of multiplication and division concepts including:
1) Examples of relating multiplication and division such as reversing number sentences.
2) Practice problems involving variables such as determining values of variables in equations.
3) A word problem involving dividing a total number of students among classes of equal size.
translating algebraic expression math 7.ppt
The document provides examples for translating word phrases and sentences into mathematical expressions and equations. It includes tables listing common words associated with addition, subtraction, multiplication, division and their corresponding operations. There are also examples of translating phrases and solving equations derived from word sentences. Students are asked to translate phrases and sentences into algebraic expressions and equations.
Vocab maths 8_ratios_and_rates
This document defines key terms related to ratios, rates, scales, fractions, and floor plans. It provides examples for each term, including ratio, rate, scale, scale drawing, fraction, equivalent, solve, problem, receive, distance, and floor plan. The terms are mathematical or spatial concepts used to compare or represent quantitative relationships.
(8) Lesson 2.3 - Write Two-Step Equations
The document provides examples for solving equations, including:
1) Solving linear equations with rational number coefficients by expanding expressions using the distributive property and collecting like terms.
2) Translating sentences into one-variable equations to represent real-world situations and define variables.
3) Writing and solving equations from word problems by letting variables represent unknown quantities and setting up equations equal to the total amounts given.
MATH 6 PPT Q3 W6 - Real-Life Verbal Expressions And Equations Into Letters Or...
This document provides examples for teaching students how to translate phrases and sentences into algebraic expressions and equations. It includes sample phrases and sentences with the corresponding algebraic translations. Students practice translating phrases such as "twelve more than a number" to algebraic expressions like "12+x". The document also provides examples of evaluating algebraic expressions and translating expressions back to verbal phrases.
Writing expressions and formulae
This document provides examples of writing expressions and formulas to represent mathematical relationships:
- It gives examples of writing expressions for the number of items someone has based on relationships given, such as the number of t-shirts Harriet has being 3 times the number of shorts.
- It shows how to write formulas to calculate values on problems, such as the area of a rectangle being length times width.
- It includes a task for students to match days of the 12 Days of Christmas to expressions for the cumulative number of gifts received.
- Finally, it prompts students to write their own formula puzzle task.
The language of algebra
1. The document provides instruction on the language of algebra through defining mathematical symbols and terms, explaining algebraic expressions and variables, and giving examples of translating between verbal and symbolic representations.
2. Key points covered include defining variables, coefficients, exponents, scientific notation, and distinguishing between arithmetical/numerical and algebraic expressions like phrases and sentences.
3. Examples are provided to illustrate symbolic representations of concepts like "a number increased by 5" and how specifying or leaving unspecified the variable allows for open or closed expressions.
QUARTER-2-MODULE-3-TRANSLATING-VERBAL-PHRASES-ALGEBRA-POLYNOMIALS.pptx
This document provides a lesson on translating between English phrases and mathematical expressions. It begins by listing common English phrases used in mathematics and their equivalent symbols or operations, such as "the sum of" being equivalent to addition. Examples are given of translating phrases and sentences between English and mathematical formats. The document also discusses algebraic expressions, polynomials, and the components of terms within expressions like variables, constants, and coefficients. Students are expected to demonstrate skills in translation and differentiating mathematical concepts.
PPT TRANSLATING VERBAL PHRASES.pptx
This document discusses translating between English phrases and mathematical symbols in algebra. It provides examples of common words used in English phrases that translate to addition, subtraction, multiplication, division and other operations. Tables show translations between verbal phrases and algebraic expressions. The document also discusses writing mathematical expressions in English and provides practice problems for translating between the two representations.
Similar to Alg1 lesson 3 1 (10)
MATH 6 PPT Q3 W6 - Real-Life Verbal Expressions And Equations Into Letters Or...
MATH 6 PPT Q3 W6 - Real-Life Verbal Expressions And Equations Into Letters Or...
QUARTER-2-MODULE-3-TRANSLATING-VERBAL-PHRASES-ALGEBRA-POLYNOMIALS.pptx
QUARTER-2-MODULE-3-TRANSLATING-VERBAL-PHRASES-ALGEBRA-POLYNOMIALS.pptx
More from Carol Defreese
1150 day 11
Ratios, proportions, and percents can be used to compare quantities and solve problems. A ratio compares two quantities, like the number of squares to circles. Equal ratios form a proportion, which can be used to solve for unknown values. Percents represent a number out of 100. Common percent calculations include finding a percent of a number and converting between fractions, decimals, and percents. The percent proportion states that the percent equals the part divided by the whole quantity.
1150 day 10
This document covers topics related to repeating decimals, irrational numbers, and square roots. It includes examples of writing repeating decimals as fractions, ordering decimals, finding square roots, and using the Pythagorean theorem. Various math problems are presented along with step-by-step solutions to illustrate these concepts.
1150 day 9
1) Decimals represent numbers using place value with decimal points. To write decimals in expanded form, they are broken into place value terms using positive and negative exponents.
2) Fractions can be converted to decimals using division or by writing the fraction as a ratio of two numbers and setting up a proportion to solve for the decimal.
3) Scientific notation is used to write very large or small numbers in a standard form, such as 3.603 x 107. Operations can be done on decimals by lining up the decimal points or moving them with multiplication/division.
1150 day 8
This document provides an overview of rational numbers including:
- Integers and fractions written in the form a/b where a and b are integers and b ≠ 0
- Equivalent fractions represented by the same number
- Ordering and comparing rational numbers
- Converting between improper fractions and mixed numbers
- Basic operations of addition, subtraction, multiplication, and division of rational numbers
- Word problems involving rational numbers
1150 day 7
This document discusses prime and composite numbers, greatest common divisors (GCD), and least common multiples (LCM). It provides examples of finding the GCD and LCM of various numbers using different methods like the intersection of sets method, prime factorization method, and Euclidean algorithm. Key definitions include: a prime number has exactly two distinct positive divisors, a composite number has factors other than itself and 1, the GCD is the largest integer that divides numbers, and the LCM is the smallest number that is a multiple of the given numbers.
1150 day 6
Integers include positive and negative whole numbers. Absolute value is the distance from zero. Addition and subtraction on a number line involve moving left or right. Multiplication follows patterns based on sign. Division is the inverse of multiplication regarding sign. A number is divisible by another if it can be written as a product of an integer multiple. Divisibility tests identify patterns in a number's digits.
1150 day 5
Algebraic thinking involves recognizing patterns, modeling situations with symbols, and analyzing change. It relies on understanding variables to represent unknown quantities. The document traces the evolution of algebraic thinking from simple equations to more complex concepts like functions, composite functions, and properties of equations. It provides examples of how algebraic reasoning and symbols can be used to represent and solve real-world problems.
1150 day 4
The document discusses various aspects of whole number operations including:
1) Place value systems and how numbers are represented in bases other than 10 such as base 5 and base 12.
2) Algorithms for addition, subtraction, multiplication, and division using various models and representations.
3) Properties of operations like the commutative, associative, identity, and zero properties of multiplication.
1150 day 3
The document discusses different number systems used throughout history including Hindu-Arabic, Egyptian, Babylonian, Mayan, and Roman systems. It also covers basic concepts of whole numbers such as addition, subtraction, and their properties. Different models are presented to demonstrate whole number operations including set, number line, take-away, comparison, and missing addend models.
1150 day 2
The document discusses sets and set operations including defining sets, elements, cardinal and ordinal numbers, equal and equivalent sets, subsets, Venn diagrams, and set operations like union, intersection, and complement. Examples are provided to illustrate concepts like finite and infinite sets, subsets, Venn diagrams representing multiple sets and operations, and using Venn diagrams to solve problems involving sets and their relationships.
1150 day 1
The number of terms in each sequence can be determined by finding a one-to-one correspondence with the counting numbers.
Alg2 lesson 13-5
This document discusses solving an ambiguous triangle where it is not a right triangle and the measures of angles and sides are not fully known. It determines that trigonometric functions and the Law of Sines cannot be used. It identifies that the Law of Cosines is the appropriate theorem to use to begin solving since it requires only knowing the measures of three sides.
Alg2 lesson 13-4
The document discusses solving for unknown sides and angles of triangles using trigonometric functions like the law of sines. Several multi-step example problems are worked through that involve determining if a triangle is possible based on given information, finding missing side lengths, and calculating angles. Diagrams are included to illustrate each step of the example problems.
Alg2 lesson 13-3
The document contains instructions for finding trigonometric function values given specific angle measurements or terminal side locations. It includes:
1) Finding the six trig functions of an angle with a terminal side at (8, -15)
2) Finding the six trig functions of an angle with a terminal side at (-3, 4)
3) Finding the reference angle of 330°
4) Finding the reference angle of an angle in Quadrant III
5) Finding the value of sin(135°)
6) Finding the remaining five trig functions of an angle in Quadrant III with a terminal side of (-4, -3)
Alg2 lesson 13-3
The document contains instructions for finding trigonometric function values given specific angle measurements or terminal side locations. It includes:
1) Finding the six trig functions of an angle with a terminal side at (8, -15)
2) Finding the six trig functions of an angle with a terminal side at (-3, 4)
3) Finding the reference angle of 330°
4) Finding the reference angle of an angle in Quadrant III
5) Finding the value of sin(135°)
6) Finding the remaining five trig functions of an angle in Quadrant III with a terminal side of (-4, -3)
Alg2 lesson 13-2
The document describes how to draw angles in standard position on a unit circle and convert between degrees and radians. It provides examples of drawing angles such as 210°, -45°, and 540° in standard position and rewriting angles such as 30°, 45°, and an unspecified angle in radians and degrees. It also gives examples of finding coterminal angles for 210° with one positive and one negative measure.
Alg2 lesson 13-1
This document discusses trigonometric functions and their ratios, including sine, cosine, tangent, cosecant, secant, and cotangent. It provides examples of using trigonometric functions to solve values in right triangles, including finding missing side lengths and angle measures. Special right triangles with ratios of 1/2, 1/√3, and 1/√2 are also covered.
Alg2 lesson 11-2 and 11-4
The document provides information about arithmetic and geometric series. It defines arithmetic and geometric series, provides examples of finding sums of arithmetic series using formulas, and defines the key terms (first term, common ratio, number of terms, last term) used in the formula to calculate the sum of a geometric series.
Alg2 lesson 11-3
The document discusses geometric sequences, which are patterns of numbers where each term is found by multiplying the previous term by a constant called the common ratio. It provides examples of geometric sequences with different common ratios and shows how to write equations to find the nth term in a sequence. It also explains how to find specific terms in a geometric sequence and calculates the geometric means between two nonconsecutive terms.
Alg2 lesson 11-1
The document discusses arithmetic sequences, which are patterns of numbers where each term is found by adding a constant value to the previous term. It provides examples of arithmetic sequences with different common differences and shows how to write equations to determine the nth term. It also explains how to find terms within an arithmetic sequence and determine arithmetic means between two non-consecutive terms.
More from Carol Defreese (20)
Recently uploaded
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...Nguyen Thanh Tu Collection
https://app.box.com/s/y977uz6bpd3af4qsebv7r9b7s21935vdThe History of Stoke Newington Street Names
Presented at the Stoke Newington Literary Festival on 9th June 2024
www.StokeNewingtonHistory.com
How to Manage Your Lost Opportunities in Odoo 17 CRM
Odoo 17 CRM allows us to track why we lose sales opportunities with "Lost Reasons." This helps analyze our sales process and identify areas for improvement. Here's how to configure lost reasons in Odoo 17 CRM
How to deliver Powerpoint Presentations.pptx
"How to make and deliver dynamic presentations by making it more interactive to captivate your audience attention"
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Iván Bornacelly, Policy Analyst at the OECD Centre for Skills, OECD, presents at the webinar 'Tackling job market gaps with a skills-first approach' on 12 June 2024
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.LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
বাংলাদেশ 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 ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...Nguyen Thanh Tu Collection
https://app.box.com/s/qhtvq32h4ybf9t49ku85x0n3xl4jhr15Chapter wise All Notes of First year Basic Civil Engineering.pptx
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
How to Fix the Import Error in the Odoo 17
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh
Recently uploaded (20)
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
Film vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movie
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
Alg1 lesson 3 1
- 1. Answer: The equation is . Translate this sentence into an equation. A number b divided by three is equal to six less than c. Example 1-1a
- 2. Answer: The equation is . Translate this sentence into an equation. Fifteen more than z times six is y times two minus eleven. 15 z 6 y 2 11 Example 1-1b
- 3. Answer: The equation is . Answer: The equation is . Translate each sentence into an equation. a. A number c multiplied by six is equal to two more than d. b. Three less than a number a divided by four is seven more than 3 times b. Example 1-1c
- 4. Answer: The formula is . Translate the sentence into a formula. The perimeter of a square equals four times the length of the side. Perimeter equals four times the length of a side. P 4s Example 1-3a
- 5. 12 2x 5 Translate this equation into a verbal sentence. Twelve minus two times x is negative five. Answer:Twelve minus two times xis negative five. Example 1-4a
- 6. a2 3b Translate this equation into a verbal sentence. a squared plus three times bis c divided by six. Answer: a squared plus three times bis c divided by six. Example 1-4b
- 7. f= cost of fries f+ 1.50 = cost of a burger Write a word problem based on the given information. 4(f + 1.50) + 3f= 9.50 The cost of a burger is $1.50 more than the cost of fries. Four burgers and three fries cost $9.50. Think about this: How much do the fries cost? Example 1-5a