Solving an-equation-is-like-unwrapping-a-present
•Download as PPTX, PDF•
3 likes•5,764 views
This document uses the analogy of unwrapping a present to explain how to solve equations. It states that solving an equation involves undoing the operations in reverse order, similar to unwrapping a present by first removing the bow, then unwrapping the paper, and finally taking out the present. It provides an example of solving a two-step equation by first adding 16 to both sides to undo the subtraction, and then dividing both sides by 4 to undo the multiplication. The document aims to explain solving equations by relating it to the intuitive steps of unwrapping a present.
Report
Share
Report
Share
Recommended
Improper fractions _mixed_numbers_with_fractions
This document is a lesson plan on fractions that includes:
- A do now activity drawing fractions and homework writing about proper and improper fractions
- Objectives of adding and subtracting fractions and expressing wholes as fractions
- An agenda that includes vocabulary, examples of proper/improper fractions and mixed numbers, and independent/partner practice
- Definitions and examples of proper fractions, improper fractions, mixed numbers, and steps for converting between improper fractions and mixed numbers.
Ratio And Proportions
The document discusses ratios and proportions. It defines ratios as a way to compare quantities in two or more groups, and notes that ratios are similar to but not the same as fractions. It provides examples of equivalent ratios and using cross-multiplication to determine if ratios are equivalent proportions. The document also discusses using variables like n to represent unknown values in ratios or word problems involving ratios.
Stage 6 fraction
The document provides instructions and materials for a 6th grade math project on fractions. It includes objectives, materials needed, how to make the project, rubric for grading, and content about fraction meanings, equivalent fractions, comparisons, operations, and exercises. The content is organized into sections covering key fraction concepts.
Fraction
This document provides an overview of fractions including:
- The basic components and types of fractions
- How to perform operations like addition, subtraction, multiplication, and division of fractions
- Converting between improper and mixed fractions
- Finding equivalent and reduced fractions
- Determining the lowest common denominator
- Comparing fractions
- The proper order of operations to solve equations with fractions
Perimeter
The document discusses perimeter and how to calculate it for different shapes. It defines perimeter as the distance around a shape and provides formulas to calculate perimeter for rectangles and polygons. For rectangles, the perimeter formula is P=2l+2w, where l is the length and w is the width. For polygons, you add up the lengths of all the sides. The document also shows how to use algebra to solve for missing side lengths when given the perimeter.
Introduction to Ratios
This document discusses ratios and how they are used in cycling gear ratios, cooking recipes, making gold jewelry, and other examples. It provides definitions of ratios, such as how they compare two items and can be written in shorthand form using a colon. It also explains that for ratios the items being compared must be in the same units.
Gcf and lcm
The document discusses the greatest common factor (GCF) and least common multiple (LCM) of numbers. It provides examples of using the ladder method to find the GCF of various number pairs and sets, as well as using the ladder method to find the LCM of number pairs. The ladder method involves dividing the numbers by their common factors until only prime factors remain.
Multiply & Divide Fractions
This document provides instructions and examples for multiplying and dividing fractions. It begins by defining key terms like improper fraction and proper fraction. It then outlines the step-by-step process for multiplying fractions, which involves reducing fractions if possible before multiplying straight across. Similarly, for dividing fractions, the steps are to flip the second fraction, change the division sign to multiplication, and then follow the same reducing and multiplying process. Several worked examples are provided to demonstrate these processes.
Recommended
Improper fractions _mixed_numbers_with_fractions
This document is a lesson plan on fractions that includes:
- A do now activity drawing fractions and homework writing about proper and improper fractions
- Objectives of adding and subtracting fractions and expressing wholes as fractions
- An agenda that includes vocabulary, examples of proper/improper fractions and mixed numbers, and independent/partner practice
- Definitions and examples of proper fractions, improper fractions, mixed numbers, and steps for converting between improper fractions and mixed numbers.
Ratio And Proportions
The document discusses ratios and proportions. It defines ratios as a way to compare quantities in two or more groups, and notes that ratios are similar to but not the same as fractions. It provides examples of equivalent ratios and using cross-multiplication to determine if ratios are equivalent proportions. The document also discusses using variables like n to represent unknown values in ratios or word problems involving ratios.
Stage 6 fraction
The document provides instructions and materials for a 6th grade math project on fractions. It includes objectives, materials needed, how to make the project, rubric for grading, and content about fraction meanings, equivalent fractions, comparisons, operations, and exercises. The content is organized into sections covering key fraction concepts.
Fraction
This document provides an overview of fractions including:
- The basic components and types of fractions
- How to perform operations like addition, subtraction, multiplication, and division of fractions
- Converting between improper and mixed fractions
- Finding equivalent and reduced fractions
- Determining the lowest common denominator
- Comparing fractions
- The proper order of operations to solve equations with fractions
Perimeter
The document discusses perimeter and how to calculate it for different shapes. It defines perimeter as the distance around a shape and provides formulas to calculate perimeter for rectangles and polygons. For rectangles, the perimeter formula is P=2l+2w, where l is the length and w is the width. For polygons, you add up the lengths of all the sides. The document also shows how to use algebra to solve for missing side lengths when given the perimeter.
Introduction to Ratios
This document discusses ratios and how they are used in cycling gear ratios, cooking recipes, making gold jewelry, and other examples. It provides definitions of ratios, such as how they compare two items and can be written in shorthand form using a colon. It also explains that for ratios the items being compared must be in the same units.
Gcf and lcm
The document discusses the greatest common factor (GCF) and least common multiple (LCM) of numbers. It provides examples of using the ladder method to find the GCF of various number pairs and sets, as well as using the ladder method to find the LCM of number pairs. The ladder method involves dividing the numbers by their common factors until only prime factors remain.
Multiply & Divide Fractions
This document provides instructions and examples for multiplying and dividing fractions. It begins by defining key terms like improper fraction and proper fraction. It then outlines the step-by-step process for multiplying fractions, which involves reducing fractions if possible before multiplying straight across. Similarly, for dividing fractions, the steps are to flip the second fraction, change the division sign to multiplication, and then follow the same reducing and multiplying process. Several worked examples are provided to demonstrate these processes.
Estimating sums and differences (lesson 6.5)
This document provides guidance on estimating sums and differences of fractions by rounding fractions to benchmarks of 0, 1/2, or 1. It explains that benchmarks are easy reference numbers to use when estimating. Examples are provided that show how to change each fraction in a sum or difference to the nearest benchmark, then calculate the sum or difference. For mixed numbers, the fraction part should be rounded up to 1 if it is greater than 1/2, or rounded down to 0 if it is less than 1/2 before calculating. This allows for quick estimation of fraction calculations.
Order Of Operations
The document discusses the proper order of operations in mathematics expressions:
1) Perform any calculations within parentheses.
2) Evaluate exponents.
3) Multiply and divide in order from left to right.
4) Add and subtract in order from left to right.
It also provides examples of applying the order of operations and recommends remembering it using the acronym PEMDAS.
Ratio
quantitative aptitude, maths
applicable to
Common Aptitude Test (CAT)
Bank Competitive Exam
UPSC Competitive Exams
SSC Competitive Exams
Defence Competitive Exams
L.I.C/ G. I.C Competitive Exams
Railway Competitive Exam
University Grants Commission (UGC)
Career Aptitude Test (IT Companies) and etc.
Adding And Subtracting Fractions
The document discusses methods for adding and subtracting fractions using the Criss-Cross Smiley Face method. It provides examples of adding and subtracting both positive and negative numbers. It then has a skills review section with questions about adding, subtracting and multiplying positive and negative numbers. The final sections provide practice problems for students to apply the Criss-Cross Smiley Face method for adding and subtracting fractions.
Rounding Decimals
Rounding means reducing the digits in a number while keeping its value similar but easier to use. To round, decide which is the last digit to keep, leave it the same if the next digit is less than 5, or increase it by 1 if the next digit is 5 or more. Examples show rounding numbers to different decimal places like hundredths or tenths. Practice problems apply rounding to whole numbers, decimals, and fractions converted to decimals.
Word problems addition and subtraction.ppt
The document provides a 4-step process for solving word problems: 1) Understand the problem by identifying what is being asked, 2) Get a plan by determining whether to add or subtract based on clue words, 3) Solve the problem by writing a number sentence and calculating, and 4) Look back to check if the answer makes sense. An example word problem is provided about birds Alex saw, and the steps are demonstrated to arrive at the solution that Alex saw 26 birds in all.
Even and odd numbers with ladybugs
This is a great 1st grade or 2nd grade lesson on figuring out if a number is even or odd. Worksheet included.
Multiplying Fractions
The document provides instructions for multiplying fractions, including proper and improper fractions. It explains that to multiply fractions, one multiplies the numerators and denominators separately. For proper fractions, the answer is then simplified if possible, while for improper fractions the answer is converted to a mixed number by dividing the numerator by the denominator to determine the whole number part. Examples are provided to demonstrate multiplying both proper and improper fractions.
Multiplication facts
This document provides instruction for learning multiplication facts. It begins by outlining the lesson objectives and prerequisites. The lesson then reviews rules for multiplying by 0's, 1's, 2's, 5's and 10's. Students practice these multiplication facts through interactive examples. The document continues by teaching rules for multiplying by 3's, 4's, 6's, 7's, 8's and 9's. Students practice these new multiplication facts through additional interactive examples. The document concludes by providing students links to worksheets and games for further practicing their multiplication fact fluency.
SUBTRACTION WITH REGROUPING
This document provides instructions for subtracting numbers with regrouping in 3 steps: 1) Write the minuend and subtrahend in columns with the greatest place value at the top. 2) Begin subtracting from right to left, regrouping numbers to the left as needed. 3) Check the answer by adding the difference and subtrahend back together. An example of 365 - 219 is shown step-by-step to illustrate the process.
4th grade mathematics: fractions
This document provides an overview of fractions for 4th grade mathematics. It defines fractions as parts of objects and introduces equivalent fractions. It explores the relationship between fractions with different denominators, improper fractions and mixed numbers. Students learn how to order fractions from smallest to largest and review key fraction concepts covered.
Integers
Death Valley is a low-lying desert region in southeastern California that was named in 1849 after 30 people attempting a shortcut to the California goldfields only 18 survived. Much of the valley is below sea level, with the lowest point being Badwater at 282 feet below sea level. Mount McKinley in Alaska, also called Denali, is the tallest mountain in North America at 20,320 feet above sea level and glows in early morning sunlight. The total distance between the top of Mount McKinley and the bottom of Death Valley is 20,602 feet.
Fraction Talking Power Point 1
This document explains how to change improper fractions to mixed fractions. An improper fraction has a numerator larger than or equal to the denominator, while a mixed fraction is a whole number and proper fraction combined. To change an improper fraction to a mixed fraction, divide the numerator by the denominator. The number of times the denominator divides into the numerator becomes the whole number part, and the remainder is the numerator of the fractional part over the original denominator. Examples are provided to demonstrate this process.
4-1 Multiplication Properties
The document discusses five properties of multiplication: the commutative property, associative property, identity property, zero property, and distributive property. It provides examples to illustrate each property, such as how the order of factors does not change the product under the commutative property or how grouping factors differently does not change the result under the associative property. Examples are also given for how the product is the other factor under the identity property and is zero when zero is a factor under the zero property.
MATH 6 1ST QUARTER.ppt
This document contains notes and examples about fractions. It begins by defining fractions and the different types, including proper fractions, improper fractions, and mixed numbers. It discusses how the numerator and denominator affect the size of a fraction. It also covers equivalent fractions, comparing fractions, and operations like addition and subtraction on fractions with equal or different denominators. Examples are provided for changing between improper fractions and mixed numbers, reducing fractions to lowest terms, and performing calculations on fractions.
Ordering fractions
The document discusses how to order fractions from smallest to largest. It explains that when the denominators are the same, you compare the numerators, but when denominators differ, you need to find the least common multiple (LCM) of the denominators to convert the fractions to equivalent fractions with a common denominator. This allows the fractions to be properly ordered by comparing their numerators. Examples are provided to demonstrate how to order fractions step-by-step by finding the LCM, converting to equivalent fractions, and then arranging the fractions from smallest to largest based on the value of the numerators.
Solving One-Step Equations
One-step equations can be solved in 3 steps:
1) Isolate the variable by undoing the operation on one side of the equation. To undo addition, subtract. To undo subtraction, add. To undo multiplication, divide. To undo division, multiply.
2) Apply the inverse operation to both sides of the equation to keep it balanced.
3) Solve for the variable and write it equal to a number.
Dividing a whole number by a fraction
1) To divide a whole number by a fraction, convert the whole number to a fraction by placing it over 1. Then take the reciprocal of the dividing fraction by flipping its numerator and denominator.
2) Multiply the two fractions to get the quotient. Simplify if needed.
3) You can also draw the whole number as shapes and divide each shape according to the denominator of the dividing fraction. Shade groups of the fraction and count remaining pieces.
Fraction Review
This document provides a review of key fraction concepts:
- Mixed numbers contain both a whole number and fraction part. Improper fractions have a numerator larger than the denominator.
- To add or subtract fractions with different denominators, find a common denominator to convert the fractions before applying rules.
- Rules for adding, subtracting, multiplying and dividing fractions are provided along with examples for each operation.
- Multiplying fractions involves multiplying the numerators and denominators separately, while dividing fractions means flipping and changing the division sign to multiplication.
Multiplying Fractions
This document provides instructions on how to multiply fractions. It explains that when multiplying two fractions between 0 and 1, the product is smaller than either factor. It then presents the steps to find the fraction of a fraction: 1) read "of" as meaning to multiply, 2) multiply the numerators, 3) multiply the denominators, and 4) simplify the resulting fraction if possible. Several examples are worked through applying these steps.
Solving equations using the balancing method
This document provides instructions on how to solve equations using a balancing method. It explains that an equation can be represented using paper or real scales by placing values on each side. To solve the equation, the same operation (such as adding, subtracting, multiplying or dividing) must be applied to both sides so that the scales remain balanced until the variable is isolated on one side. Several examples of equations and their step-by-step solutions are provided. Interactive online activities for practicing this method are also listed.
Sentences
The document discusses complete and incomplete sentences. A complete sentence is a group of words that tells a complete idea and answers the questions "Who?" and "What is it doing?". Several examples of complete and incomplete sentences are provided to illustrate how complete sentences provide both a subject and predicate expressing a complete thought while incomplete sentences are missing one of these elements.
More Related Content
What's hot
Estimating sums and differences (lesson 6.5)
This document provides guidance on estimating sums and differences of fractions by rounding fractions to benchmarks of 0, 1/2, or 1. It explains that benchmarks are easy reference numbers to use when estimating. Examples are provided that show how to change each fraction in a sum or difference to the nearest benchmark, then calculate the sum or difference. For mixed numbers, the fraction part should be rounded up to 1 if it is greater than 1/2, or rounded down to 0 if it is less than 1/2 before calculating. This allows for quick estimation of fraction calculations.
Order Of Operations
The document discusses the proper order of operations in mathematics expressions:
1) Perform any calculations within parentheses.
2) Evaluate exponents.
3) Multiply and divide in order from left to right.
4) Add and subtract in order from left to right.
It also provides examples of applying the order of operations and recommends remembering it using the acronym PEMDAS.
Ratio
quantitative aptitude, maths
applicable to
Common Aptitude Test (CAT)
Bank Competitive Exam
UPSC Competitive Exams
SSC Competitive Exams
Defence Competitive Exams
L.I.C/ G. I.C Competitive Exams
Railway Competitive Exam
University Grants Commission (UGC)
Career Aptitude Test (IT Companies) and etc.
Adding And Subtracting Fractions
The document discusses methods for adding and subtracting fractions using the Criss-Cross Smiley Face method. It provides examples of adding and subtracting both positive and negative numbers. It then has a skills review section with questions about adding, subtracting and multiplying positive and negative numbers. The final sections provide practice problems for students to apply the Criss-Cross Smiley Face method for adding and subtracting fractions.
Rounding Decimals
Rounding means reducing the digits in a number while keeping its value similar but easier to use. To round, decide which is the last digit to keep, leave it the same if the next digit is less than 5, or increase it by 1 if the next digit is 5 or more. Examples show rounding numbers to different decimal places like hundredths or tenths. Practice problems apply rounding to whole numbers, decimals, and fractions converted to decimals.
Word problems addition and subtraction.ppt
The document provides a 4-step process for solving word problems: 1) Understand the problem by identifying what is being asked, 2) Get a plan by determining whether to add or subtract based on clue words, 3) Solve the problem by writing a number sentence and calculating, and 4) Look back to check if the answer makes sense. An example word problem is provided about birds Alex saw, and the steps are demonstrated to arrive at the solution that Alex saw 26 birds in all.
Even and odd numbers with ladybugs
This is a great 1st grade or 2nd grade lesson on figuring out if a number is even or odd. Worksheet included.
Multiplying Fractions
The document provides instructions for multiplying fractions, including proper and improper fractions. It explains that to multiply fractions, one multiplies the numerators and denominators separately. For proper fractions, the answer is then simplified if possible, while for improper fractions the answer is converted to a mixed number by dividing the numerator by the denominator to determine the whole number part. Examples are provided to demonstrate multiplying both proper and improper fractions.
Multiplication facts
This document provides instruction for learning multiplication facts. It begins by outlining the lesson objectives and prerequisites. The lesson then reviews rules for multiplying by 0's, 1's, 2's, 5's and 10's. Students practice these multiplication facts through interactive examples. The document continues by teaching rules for multiplying by 3's, 4's, 6's, 7's, 8's and 9's. Students practice these new multiplication facts through additional interactive examples. The document concludes by providing students links to worksheets and games for further practicing their multiplication fact fluency.
SUBTRACTION WITH REGROUPING
This document provides instructions for subtracting numbers with regrouping in 3 steps: 1) Write the minuend and subtrahend in columns with the greatest place value at the top. 2) Begin subtracting from right to left, regrouping numbers to the left as needed. 3) Check the answer by adding the difference and subtrahend back together. An example of 365 - 219 is shown step-by-step to illustrate the process.
4th grade mathematics: fractions
This document provides an overview of fractions for 4th grade mathematics. It defines fractions as parts of objects and introduces equivalent fractions. It explores the relationship between fractions with different denominators, improper fractions and mixed numbers. Students learn how to order fractions from smallest to largest and review key fraction concepts covered.
Integers
Death Valley is a low-lying desert region in southeastern California that was named in 1849 after 30 people attempting a shortcut to the California goldfields only 18 survived. Much of the valley is below sea level, with the lowest point being Badwater at 282 feet below sea level. Mount McKinley in Alaska, also called Denali, is the tallest mountain in North America at 20,320 feet above sea level and glows in early morning sunlight. The total distance between the top of Mount McKinley and the bottom of Death Valley is 20,602 feet.
Fraction Talking Power Point 1
This document explains how to change improper fractions to mixed fractions. An improper fraction has a numerator larger than or equal to the denominator, while a mixed fraction is a whole number and proper fraction combined. To change an improper fraction to a mixed fraction, divide the numerator by the denominator. The number of times the denominator divides into the numerator becomes the whole number part, and the remainder is the numerator of the fractional part over the original denominator. Examples are provided to demonstrate this process.
4-1 Multiplication Properties
The document discusses five properties of multiplication: the commutative property, associative property, identity property, zero property, and distributive property. It provides examples to illustrate each property, such as how the order of factors does not change the product under the commutative property or how grouping factors differently does not change the result under the associative property. Examples are also given for how the product is the other factor under the identity property and is zero when zero is a factor under the zero property.
MATH 6 1ST QUARTER.ppt
This document contains notes and examples about fractions. It begins by defining fractions and the different types, including proper fractions, improper fractions, and mixed numbers. It discusses how the numerator and denominator affect the size of a fraction. It also covers equivalent fractions, comparing fractions, and operations like addition and subtraction on fractions with equal or different denominators. Examples are provided for changing between improper fractions and mixed numbers, reducing fractions to lowest terms, and performing calculations on fractions.
Ordering fractions
The document discusses how to order fractions from smallest to largest. It explains that when the denominators are the same, you compare the numerators, but when denominators differ, you need to find the least common multiple (LCM) of the denominators to convert the fractions to equivalent fractions with a common denominator. This allows the fractions to be properly ordered by comparing their numerators. Examples are provided to demonstrate how to order fractions step-by-step by finding the LCM, converting to equivalent fractions, and then arranging the fractions from smallest to largest based on the value of the numerators.
Solving One-Step Equations
One-step equations can be solved in 3 steps:
1) Isolate the variable by undoing the operation on one side of the equation. To undo addition, subtract. To undo subtraction, add. To undo multiplication, divide. To undo division, multiply.
2) Apply the inverse operation to both sides of the equation to keep it balanced.
3) Solve for the variable and write it equal to a number.
Dividing a whole number by a fraction
1) To divide a whole number by a fraction, convert the whole number to a fraction by placing it over 1. Then take the reciprocal of the dividing fraction by flipping its numerator and denominator.
2) Multiply the two fractions to get the quotient. Simplify if needed.
3) You can also draw the whole number as shapes and divide each shape according to the denominator of the dividing fraction. Shade groups of the fraction and count remaining pieces.
Fraction Review
This document provides a review of key fraction concepts:
- Mixed numbers contain both a whole number and fraction part. Improper fractions have a numerator larger than the denominator.
- To add or subtract fractions with different denominators, find a common denominator to convert the fractions before applying rules.
- Rules for adding, subtracting, multiplying and dividing fractions are provided along with examples for each operation.
- Multiplying fractions involves multiplying the numerators and denominators separately, while dividing fractions means flipping and changing the division sign to multiplication.
Multiplying Fractions
This document provides instructions on how to multiply fractions. It explains that when multiplying two fractions between 0 and 1, the product is smaller than either factor. It then presents the steps to find the fraction of a fraction: 1) read "of" as meaning to multiply, 2) multiply the numerators, 3) multiply the denominators, and 4) simplify the resulting fraction if possible. Several examples are worked through applying these steps.
What's hot (20)
Viewers also liked
Solving equations using the balancing method
This document provides instructions on how to solve equations using a balancing method. It explains that an equation can be represented using paper or real scales by placing values on each side. To solve the equation, the same operation (such as adding, subtracting, multiplying or dividing) must be applied to both sides so that the scales remain balanced until the variable is isolated on one side. Several examples of equations and their step-by-step solutions are provided. Interactive online activities for practicing this method are also listed.
Sentences
The document discusses complete and incomplete sentences. A complete sentence is a group of words that tells a complete idea and answers the questions "Who?" and "What is it doing?". Several examples of complete and incomplete sentences are provided to illustrate how complete sentences provide both a subject and predicate expressing a complete thought while incomplete sentences are missing one of these elements.
CST Review_Force
The documents discuss forces and concepts related to forces including:
- Forces have both magnitude and direction. Forces in the same direction add while forces in opposite directions subtract.
- Balanced forces occur when opposing forces are equal, resulting in no net force and no change in motion. Unbalanced forces occur when opposing forces are unequal, resulting in a net force and a change in motion.
- Friction is a force that opposes motion between objects in contact. It always acts in the opposite direction of motion.
- Examples are provided to demonstrate how to calculate net force by adding and subtracting forces in the same and opposite directions.
Solving Equations And Formulas
This document discusses solving formulas for specific variables by manipulating equations. It provides examples of solving formulas for variables like radius (r), x, a, and length (l). The key steps shown are isolating the variable by collecting like terms on one side of the equation and applying inverse operations like division. Multiple examples walk through solving formulas step-by-step and explain the process of factoring variables before isolation.
Ppt of physics xii science
This document defines and describes various mechanical properties of materials including elasticity, plasticity, rigidity, stress, strain, and Hooke's law. It then defines and gives equations for three types of stress (tensile, volume, and shear) and three types of strain (tensile, volume, and shear). Finally, it defines three elastic constants (Young's modulus, bulk modulus, and modulus of rigidity), Poisson's ratio, and provides the process for determining Young's modulus of the material of a wire.
Mensuration
This document defines mensuration and provides formulas for calculating the perimeters and areas of various 2D and 3D shapes. It explains that mensuration deals with using formulas to calculate perimeters, areas, and volumes of plain and solid geometric figures. Formulas are provided for calculating the perimeters and areas of squares, rectangles, circles, triangles, parallelograms, trapezoids, cubes, cuboids, and cylinders. Some example problems are worked through applying these formulas to find perimeters and areas.
Elasticity Ppt
The document discusses the concept of price elasticity of demand in microeconomics. It defines price elasticity of demand and explains the five types: unit elasticity, more elastic, more inelastic, perfectly inelastic, and perfectly elastic. For each type, it provides an example and calculation to illustrate how price elasticity is measured using the percentage change in price and quantity demanded. Factors that can influence a good's price elasticity are also outlined.
Basic Mensuration
This document provides information about mensuration, which is the measurement of geometric figures. It begins with acknowledging the teacher for providing the opportunity to present on this topic. It then defines important terms like perimeter, area, volume, and introduces plain and solid figures. Formulas for calculating the perimeter, area, surface area and volume of squares, rectangles, triangles, cubes, cuboids, cylinders and cones are presented along with examples. The document concludes by listing the group members who prepared the presentation.
Physics - Chapter 6 - Momentum and Collisions
This document provides an overview of linear momentum and impulse. It defines momentum as the product of an object's mass and velocity (p=mv) and describes how momentum is a vector quantity. Impulse is defined as the change in momentum over time due to an external force (Impulse=Force x Time). The document explains how momentum is conserved in collisions and how the impulse-momentum theorem can be used to analyze collisions. It also distinguishes between perfectly elastic, perfectly inelastic, and inelastic collisions in terms of the objects' motions and changes to their kinetic energy before and after the collision.
Basic Algebra (for beginners)
The document introduces basic algebraic expressions and simplifying terms. It explains that terms with the same variable are combined by adding the coefficients. Expressions should be written with variables in alphabetical order and numbers written without variables are simply added. Sample problems are provided to practice simplifying algebraic expressions and equations with variables representing unknown values.
Mensuration
This document discusses mensuration, which is the use of formulas to calculate perimeters, areas, and volumes of plane and solid shapes. It provides formulas and examples for calculating the areas of rectangles, triangles, trapezoids, circles, and composite figures. It also discusses surface area and volume formulas for three-dimensional shapes like boxes, cylinders, prisms, pyramids, cones, spheres, and solids in general. Diagrams and step-by-step examples are provided to demonstrate calculating measurements of various shapes.
Introduction to algebra
Algebra uses letters and symbols to represent values and their relationships, especially for solving equations. An algebraic expression combines these letters and symbols. An example expression is 8x^2. Expressions contain constants, variables, and exponents. Constants represent exact values like numbers. Variables stand for unknown values, often letters. Exponents written above a variable show how many times it is used in the expression.
Mensuration PPT - Class Project
This document provides information about mensuration and geometry topics such as trapezoids, rhombuses, cubes, cuboids, cylinders, and their formulas for area, surface area, and volume. It includes definitions and examples of each shape. There are also example problems, tables summarizing the formulas, and a multiple choice and short answer question bank related to mensuration. The document was created by Arnav Gosain of VIII-C at Tagore International School for the purpose of learning about geometry topics involving area, surface area, and volume calculations.
Algebraic expressions
This document provides an overview of algebraic expressions. It defines variables and algebraic expressions, and explains that expressions can be evaluated when the variable is defined. Examples are given to show how expressions represent relationships between quantities. Words that indicate addition, subtraction, multiplication and division are listed. Practice problems are included to write expressions for word phrases and situations. The key aspects covered are variables, expressions, evaluating expressions, and writing expressions from word problems.
Basic Algebra Ppt 1.1
The document introduces key concepts in algebra including variables, constants, types of numbers (counting, integers, rational, irrational, real), graphs, averages, and positive and negative numbers. It provides examples and guidelines for understanding these concepts. Variables represent quantities that can vary, while constants represent fixed values. Different number sets are explained and visualized on a number line. Averages are calculated by adding values and dividing by the total count. Positive numbers are greater than zero, while negative numbers are less than zero.
algebraic expression class VIII
The document provides a lesson plan for teaching algebraic expressions and identities to 8th grade students. It outlines objectives to help students understand identities in algebraic expressions, the relationship between algebra, geometry and arithmetic, and how to apply identities to solve problems. Example activities are presented to show representing algebraic expressions geometrically and applying identities to evaluate expressions and arithmetic problems. Key identities introduced are (a + b)2, (a - b)2, and (a + b)(a - b). Students are given practice problems to solve using the identities.
Conservation Of Momentum
The document discusses collisions and the law of conservation of momentum. It provides examples of how to use a momentum table and algebra to solve for unknown velocities in collision problems involving isolated systems where momentum is conserved. Specifically, it works through examples of a person catching a medicine ball on ice and of two people colliding on an ice rink to determine their combined velocity after collision.
Viewers also liked (17)
Similar to Solving an-equation-is-like-unwrapping-a-present
Equations with brackets
The document discusses equations with brackets and how to solve them. It provides examples of equations with brackets and explains the steps to solve them, which include: 1) Expanding the brackets by multiplying the terms inside by the number outside, 2) Performing the same operations to both sides of the equation to simplify it until the unknown variable is alone on one side. It also discusses solving equations where the unknown variable is on both sides of the equation.
Chapter 3. linear equation and linear equalities in one variables
Here are the steps to solve this inequality problem:
1) Write an expression for the perimeter in terms of x
2) Set the perimeter expression ≤ 40
3) Isolate x by undoing the operations
4) Write the solution set
The solution is 0 ≤ x ≤ 7
Tutorial linear equations and linear inequalities
This document discusses linear equations and inequalities in one variable. It begins by defining open sentences, variables, and solutions. It then covers topics like solving linear equations using addition, subtraction, multiplication, and division. It also discusses solving multi-step equations. Graphing solutions to equations is explained. The document also covers understanding and solving linear inequalities in one variable as well as graphing inequalities. It provides examples of how equations and inequalities can be applied to everyday situations.
Just equations
The document discusses solving equations by using inverse operations such as addition and subtraction to isolate the variable. It provides examples of solving one-step and multi-step equations, as well as using proportions to solve word problems involving rates, conversions, and recipes. Key terms discussed include coefficients, constants, variables, and inverse operations.
February 5, 2014
This document appears to be notes from a math class covering systems of inequalities and equations. It includes examples of solving systems of equations by elimination and substitution. It provides step-by-step instructions for setting up and solving systems using both methods. It also shows examples of applying systems of equations to word problems involving tickets sales and math test points.
Guía n°4 oa11 7 b estudiante ecuacion
This document provides guidance for 7th grade math students on solving single variable equations. It begins by reviewing work from previous grades on using strategies like balancing, decomposition, 1-to-1 correspondence, and formal procedures to solve equations. Students are reminded of key concepts like what an equation is and shown examples of solving equations using balancing, decomposition, and properties of equality. The document then provides three practice activities - representing word problems as equations, matching equations to situations, and independently solving various equations using different methods.
Grado6 guia1 periodo3_matematicas_tecnolo y fisica
The document is a learning guide for 6th grade students covering the topics of fraction multiplication and division. It includes examples and activities for students to practice these concepts over two weeks. The guide introduces fraction multiplication by having students multiply the numerators and denominators, and fraction division by having students invert the second fraction and multiply. Students are asked to complete word problems, examples, and a cross-curricular activity with physics on energy forms.
Class Presentation Math 1
1) When multiplying integers with the same sign, the product is positive, but with different signs, the product is negative.
2) For exponents, if the base is in parentheses, you raise that number to the power. If the base is negative without parentheses, you raise the absolute value to the power and then make the answer negative.
3) The distributive property distributes the number being multiplied over terms in parentheses by multiplying each term individually and then combining like terms.
Systems of linear equation
The document discusses systems of linear equations and provides examples of solving different types of problems involving linear equations. Specifically, it gives 4 examples of number problems involving setting up systems of linear equations based on given conditions and solving them to find unknown values. The examples include problems involving finding two numbers based on their ratio and sum, finding consecutive odd integers with a given sum, finding two numbers given their difference and a property relating the numbers, and finding an original fraction given its value after a transformation.
Solving One Step Equations
The document provides information about solving one-step equations through addition, subtraction, multiplication, and division. It explains that when solving an equation, the goal is to isolate the variable by applying the inverse operation to both sides of the equation to maintain the balance. Several examples are worked through, demonstrating how to solve equations involving addition, subtraction, multiplication, and division. Word problems involving one-step equations are also introduced and it is explained how to set them up and solve for the unknown variable.
Right And Wrong’S Of Pre Calculus
The document provides examples of common mistakes made when working with exponents, radicals, polynomials, rational expressions, and solving equations in pre-calculus. It demonstrates incorrect work and explains the errors, such as adding instead of multiplying terms with exponents or failing to square both sides of an equation when taking the square root of each side. Key concepts are reviewed, such as factoring polynomials before simplifying rational expressions or dividing terms. Helpful formulas are also listed, such as the quadratic formula.
Similar to Solving an-equation-is-like-unwrapping-a-present (11)
Chapter 3. linear equation and linear equalities in one variables
Chapter 3. linear equation and linear equalities in one variables
Grado6 guia1 periodo3_matematicas_tecnolo y fisica
Grado6 guia1 periodo3_matematicas_tecnolo y fisica
Recently uploaded
TrustArc Webinar - 2024 Global Privacy Survey
How does your privacy program stack up against your peers? What challenges are privacy teams tackling and prioritizing in 2024?
In the fifth annual Global Privacy Benchmarks Survey, we asked over 1,800 global privacy professionals and business executives to share their perspectives on the current state of privacy inside and outside of their organizations. This year’s report focused on emerging areas of importance for privacy and compliance professionals, including considerations and implications of Artificial Intelligence (AI) technologies, building brand trust, and different approaches for achieving higher privacy competence scores.
See how organizational priorities and strategic approaches to data security and privacy are evolving around the globe.
This webinar will review:
- The top 10 privacy insights from the fifth annual Global Privacy Benchmarks Survey
- The top challenges for privacy leaders, practitioners, and organizations in 2024
- Key themes to consider in developing and maintaining your privacy program
Main news related to the CCS TSI 2023 (2023/1695)
An English 🇬🇧 translation of a presentation to the speech I gave about the main changes brought by CCS TSI 2023 at the biggest Czech conference on Communications and signalling systems on Railways, which was held in Clarion Hotel Olomouc from 7th to 9th November 2023 (konferenceszt.cz). Attended by around 500 participants and 200 on-line followers.
The original Czech 🇨🇿 version of the presentation can be found here: https://www.slideshare.net/slideshow/hlavni-novinky-souvisejici-s-ccs-tsi-2023-2023-1695/269688092 .
The videorecording (in Czech) from the presentation is available here: https://youtu.be/WzjJWm4IyPk?si=SImb06tuXGb30BEH .
Finale of the Year: Apply for Next One!
Presentation for the event called "Finale of the Year: Apply for Next One!" organized by GDSC PJATK
dbms calicut university B. sc Cs 4th sem.pdf
Its a seminar ppt on database management system using sql
Monitoring and Managing Anomaly Detection on OpenShift.pdf
Monitoring and Managing Anomaly Detection on OpenShift
Overview
Dive into the world of anomaly detection on edge devices with our comprehensive hands-on tutorial. This SlideShare presentation will guide you through the entire process, from data collection and model training to edge deployment and real-time monitoring. Perfect for those looking to implement robust anomaly detection systems on resource-constrained IoT/edge devices.
Key Topics Covered
1. Introduction to Anomaly Detection
- Understand the fundamentals of anomaly detection and its importance in identifying unusual behavior or failures in systems.
2. Understanding Edge (IoT)
- Learn about edge computing and IoT, and how they enable real-time data processing and decision-making at the source.
3. What is ArgoCD?
- Discover ArgoCD, a declarative, GitOps continuous delivery tool for Kubernetes, and its role in deploying applications on edge devices.
4. Deployment Using ArgoCD for Edge Devices
- Step-by-step guide on deploying anomaly detection models on edge devices using ArgoCD.
5. Introduction to Apache Kafka and S3
- Explore Apache Kafka for real-time data streaming and Amazon S3 for scalable storage solutions.
6. Viewing Kafka Messages in the Data Lake
- Learn how to view and analyze Kafka messages stored in a data lake for better insights.
7. What is Prometheus?
- Get to know Prometheus, an open-source monitoring and alerting toolkit, and its application in monitoring edge devices.
8. Monitoring Application Metrics with Prometheus
- Detailed instructions on setting up Prometheus to monitor the performance and health of your anomaly detection system.
9. What is Camel K?
- Introduction to Camel K, a lightweight integration framework built on Apache Camel, designed for Kubernetes.
10. Configuring Camel K Integrations for Data Pipelines
- Learn how to configure Camel K for seamless data pipeline integrations in your anomaly detection workflow.
11. What is a Jupyter Notebook?
- Overview of Jupyter Notebooks, an open-source web application for creating and sharing documents with live code, equations, visualizations, and narrative text.
12. Jupyter Notebooks with Code Examples
- Hands-on examples and code snippets in Jupyter Notebooks to help you implement and test anomaly detection models.
Skybuffer AI: Advanced Conversational and Generative AI Solution on SAP Busin...
Skybuffer AI, built on the robust SAP Business Technology Platform (SAP BTP), is the latest and most advanced version of our AI development, reaffirming our commitment to delivering top-tier AI solutions. Skybuffer AI harnesses all the innovative capabilities of the SAP BTP in the AI domain, from Conversational AI to cutting-edge Generative AI and Retrieval-Augmented Generation (RAG). It also helps SAP customers safeguard their investments into SAP Conversational AI and ensure a seamless, one-click transition to SAP Business AI.
With Skybuffer AI, various AI models can be integrated into a single communication channel such as Microsoft Teams. This integration empowers business users with insights drawn from SAP backend systems, enterprise documents, and the expansive knowledge of Generative AI. And the best part of it is that it is all managed through our intuitive no-code Action Server interface, requiring no extensive coding knowledge and making the advanced AI accessible to more users.
June Patch Tuesday
Ivanti’s Patch Tuesday breakdown goes beyond patching your applications and brings you the intelligence and guidance needed to prioritize where to focus your attention first. Catch early analysis on our Ivanti blog, then join industry expert Chris Goettl for the Patch Tuesday Webinar Event. There we’ll do a deep dive into each of the bulletins and give guidance on the risks associated with the newly-identified vulnerabilities.
leewayhertz.com-AI in predictive maintenance Use cases technologies benefits ...
Predictive maintenance is a proactive approach that anticipates equipment failures before they happen. At the forefront of this innovative strategy is Artificial Intelligence (AI), which brings unprecedented precision and efficiency. AI in predictive maintenance is transforming industries by reducing downtime, minimizing costs, and enhancing productivity.
Taking AI to the Next Level in Manufacturing.pdf
Read Taking AI to the Next Level in Manufacturing to gain insights on AI adoption in the manufacturing industry, such as:
1. How quickly AI is being implemented in manufacturing.
2. Which barriers stand in the way of AI adoption.
3. How data quality and governance form the backbone of AI.
4. Organizational processes and structures that may inhibit effective AI adoption.
6. Ideas and approaches to help build your organization's AI strategy.
Let's Integrate MuleSoft RPA, COMPOSER, APM with AWS IDP along with Slack
Discover the seamless integration of RPA (Robotic Process Automation), COMPOSER, and APM with AWS IDP enhanced with Slack notifications. Explore how these technologies converge to streamline workflows, optimize performance, and ensure secure access, all while leveraging the power of AWS IDP and real-time communication via Slack notifications.
Nunit vs XUnit vs MSTest Differences Between These Unit Testing Frameworks.pdf
When it comes to unit testing in the .NET ecosystem, developers have a wide range of options available. Among the most popular choices are NUnit, XUnit, and MSTest. These unit testing frameworks provide essential tools and features to help ensure the quality and reliability of code. However, understanding the differences between these frameworks is crucial for selecting the most suitable one for your projects.
Presentation of the OECD Artificial Intelligence Review of Germany
Consult the full report at https://www.oecd.org/digital/oecd-artificial-intelligence-review-of-germany-609808d6-en.htm
How to Interpret Trends in the Kalyan Rajdhani Mix Chart.pdf
A Mix Chart displays historical data of numbers in a graphical or tabular form. The Kalyan Rajdhani Mix Chart specifically shows the results of a sequence of numbers over different periods.
Energy Efficient Video Encoding for Cloud and Edge Computing Instances
Energy Efficient Video Encoding for Cloud and Edge Computing Instances
Introduction of Cybersecurity with OSS at Code Europe 2024
I develop the Ruby programming language, RubyGems, and Bundler, which are package managers for Ruby. Today, I will introduce how to enhance the security of your application using open-source software (OSS) examples from Ruby and RubyGems.
The first topic is CVE (Common Vulnerabilities and Exposures). I have published CVEs many times. But what exactly is a CVE? I'll provide a basic understanding of CVEs and explain how to detect and handle vulnerabilities in OSS.
Next, let's discuss package managers. Package managers play a critical role in the OSS ecosystem. I'll explain how to manage library dependencies in your application.
I'll share insights into how the Ruby and RubyGems core team works to keep our ecosystem safe. By the end of this talk, you'll have a better understanding of how to safeguard your code.
HCL Notes and Domino License Cost Reduction in the World of DLAU
Webinar Recording: https://www.panagenda.com/webinars/hcl-notes-and-domino-license-cost-reduction-in-the-world-of-dlau/
The introduction of DLAU and the CCB & CCX licensing model caused quite a stir in the HCL community. As a Notes and Domino customer, you may have faced challenges with unexpected user counts and license costs. You probably have questions on how this new licensing approach works and how to benefit from it. Most importantly, you likely have budget constraints and want to save money where possible. Don’t worry, we can help with all of this!
We’ll show you how to fix common misconfigurations that cause higher-than-expected user counts, and how to identify accounts which you can deactivate to save money. There are also frequent patterns that can cause unnecessary cost, like using a person document instead of a mail-in for shared mailboxes. We’ll provide examples and solutions for those as well. And naturally we’ll explain the new licensing model.
Join HCL Ambassador Marc Thomas in this webinar with a special guest appearance from Franz Walder. It will give you the tools and know-how to stay on top of what is going on with Domino licensing. You will be able lower your cost through an optimized configuration and keep it low going forward.
These topics will be covered
- Reducing license cost by finding and fixing misconfigurations and superfluous accounts
- How do CCB and CCX licenses really work?
- Understanding the DLAU tool and how to best utilize it
- Tips for common problem areas, like team mailboxes, functional/test users, etc
- Practical examples and best practices to implement right away
Unlock the Future of Search with MongoDB Atlas_ Vector Search Unleashed.pdf
Discover how MongoDB Atlas and vector search technology can revolutionize your application's search capabilities. This comprehensive presentation covers:
* What is Vector Search?
* Importance and benefits of vector search
* Practical use cases across various industries
* Step-by-step implementation guide
* Live demos with code snippets
* Enhancing LLM capabilities with vector search
* Best practices and optimization strategies
Perfect for developers, AI enthusiasts, and tech leaders. Learn how to leverage MongoDB Atlas to deliver highly relevant, context-aware search results, transforming your data retrieval process. Stay ahead in tech innovation and maximize the potential of your applications.
#MongoDB #VectorSearch #AI #SemanticSearch #TechInnovation #DataScience #LLM #MachineLearning #SearchTechnology
Recently uploaded (20)
Monitoring and Managing Anomaly Detection on OpenShift.pdf
Monitoring and Managing Anomaly Detection on OpenShift.pdf
Skybuffer AI: Advanced Conversational and Generative AI Solution on SAP Busin...
Skybuffer AI: Advanced Conversational and Generative AI Solution on SAP Busin...
leewayhertz.com-AI in predictive maintenance Use cases technologies benefits ...
leewayhertz.com-AI in predictive maintenance Use cases technologies benefits ...
Let's Integrate MuleSoft RPA, COMPOSER, APM with AWS IDP along with Slack
Let's Integrate MuleSoft RPA, COMPOSER, APM with AWS IDP along with Slack
Nunit vs XUnit vs MSTest Differences Between These Unit Testing Frameworks.pdf
Nunit vs XUnit vs MSTest Differences Between These Unit Testing Frameworks.pdf
Presentation of the OECD Artificial Intelligence Review of Germany
Presentation of the OECD Artificial Intelligence Review of Germany
How to Interpret Trends in the Kalyan Rajdhani Mix Chart.pdf
How to Interpret Trends in the Kalyan Rajdhani Mix Chart.pdf
Energy Efficient Video Encoding for Cloud and Edge Computing Instances
Energy Efficient Video Encoding for Cloud and Edge Computing Instances
Introduction of Cybersecurity with OSS at Code Europe 2024
Introduction of Cybersecurity with OSS at Code Europe 2024
HCL Notes and Domino License Cost Reduction in the World of DLAU
HCL Notes and Domino License Cost Reduction in the World of DLAU
Unlock the Future of Search with MongoDB Atlas_ Vector Search Unleashed.pdf
Unlock the Future of Search with MongoDB Atlas_ Vector Search Unleashed.pdf
Solving an-equation-is-like-unwrapping-a-present
- 1. Solving an Equation is Like Unwrapping a Present Oh no…
- 2. One way to think about solving an equation is to think about UNWRAPPING a present. But first, we need to wrap our present…
- 3. Wrapping… 1. Put present in box. 2. Wrap with paper. 3. Stick on a bow.
- 4. To unwrap the present, we do the same actions, but in the reverse order. In math, we call operations that undo each other inverseoperations. Examples of inverse operations are addition and subtraction and multiplication and division.
- 5. Unwrapping… 1. Lose the bow. 2. Unwrap paper. 3. Take present OUT.
- 7. Solving a Two-Step Equation 4x – 16 = 20 +16 +16 4x = 36 4 4 x= 9 What is happening to x? First x is being multiplied by 4, and then 16 is being subtracted from that product. Undo the subtraction of 16 by adding 16 to both sides of the equation. Undo the multiplication of by 4 by dividing both sides of the equation by 4. 4x – 16 = 20 Finally – Check your xanswer. Substitute the value you got for and see if it’s a true 4(9)–16 = 20✔ statement.
- 8. Disclaimer: No kittens were hurt during the making of this PowerPoint.