Yesterday, 22 students spent a total of 984 minutes working mastery problems, averaging 45 minutes per student. The document expresses appreciation for the students' time and effort. It then provides examples of using equations to solve problems involving areas, perimeters, rates, and amounts of money or time worked by different people.
- A few more students registered for Khan Academy and added a coach. Next week's topics will be posted online and on the board by Monday.
- Students can sign up for lunch or after school help before the end of class. About 10 students completed an extra credit opportunity posted online each Tuesday.
- The first volume of the Algebra Connections newsletter is available, which is a 2-page study guide for an upcoming test.
This document contains notes from an algebra class that covers order of operations, expressions vs equations, working with large and small numbers, and properties of algebraic rules and equations. The class work assigns problems on finding sums of consecutive odd numbers that are due the next day. Key topics covered include the difference between expressions and equations, working through problems both with and without algebra, and rules for solving various types of equations.
Algebra was developed as a separate section of mathematics to solve problems involving unknown numbers. In algebra, unknown numbers are represented by variables like x, allowing problems to be solved using the same addition, subtraction, etc. operations as regular arithmetic. For example, if the number of boys in a class is unknown and represented by x, we can write an equation relating x to the total number of students and known number of girls to solve for x. Algebra introduces variables like x to represent unknowns, but applies the same basic math operations as used with numbers.
1) To add fractions, the denominators must be the same. You can add the numerators and keep the common denominator.
2) Examples show adding fractions with circles divided into pieces and watermelons divided into pieces. Fractions are added by keeping the same denominator and adding the numerators.
3) When denominators are different, find the lowest common multiple (LCM) to use as the new common denominator to convert the fractions before adding the numerators.
1) Addition of fractions involves adding the numerators and keeping the same denominator.
2) Examples show that 1/5 + 2/5 = 3/5, 1/6 + 3/6 = 4/6, and 3/7 + 2/7 = 5/7 by adding the numerators.
3) To add fractions with different denominators, find the least common multiple (LCM) of the denominators as the new denominator, and adjust the numerators accordingly. For example, 2/3 + 1/4 is converted to 8/12 + 3/12 which equals 11/12.
This document contains notes and reminders from an algebra class. It discusses preparing for an upcoming test on topics like simplifying expressions, solving equations, and translating sentences to math. The warm-up questions involve solving simple equations. Class work will cover order of operations, integers, writing and solving equations. The test topics are also listed.
The document explains how to find the absolute value of a number by describing that it is the distance of that number from zero on the number line. It provides examples of calculating the absolute value of different positive and negative numbers. Finally, it has the reader find the absolute value of additional expressions to apply what they've learned.
- A few more students registered for Khan Academy and added a coach. Next week's topics will be posted online and on the board by Monday.
- Students can sign up for lunch or after school help before the end of class. About 10 students completed an extra credit opportunity posted online each Tuesday.
- The first volume of the Algebra Connections newsletter is available, which is a 2-page study guide for an upcoming test.
This document contains notes from an algebra class that covers order of operations, expressions vs equations, working with large and small numbers, and properties of algebraic rules and equations. The class work assigns problems on finding sums of consecutive odd numbers that are due the next day. Key topics covered include the difference between expressions and equations, working through problems both with and without algebra, and rules for solving various types of equations.
Algebra was developed as a separate section of mathematics to solve problems involving unknown numbers. In algebra, unknown numbers are represented by variables like x, allowing problems to be solved using the same addition, subtraction, etc. operations as regular arithmetic. For example, if the number of boys in a class is unknown and represented by x, we can write an equation relating x to the total number of students and known number of girls to solve for x. Algebra introduces variables like x to represent unknowns, but applies the same basic math operations as used with numbers.
1) To add fractions, the denominators must be the same. You can add the numerators and keep the common denominator.
2) Examples show adding fractions with circles divided into pieces and watermelons divided into pieces. Fractions are added by keeping the same denominator and adding the numerators.
3) When denominators are different, find the lowest common multiple (LCM) to use as the new common denominator to convert the fractions before adding the numerators.
1) Addition of fractions involves adding the numerators and keeping the same denominator.
2) Examples show that 1/5 + 2/5 = 3/5, 1/6 + 3/6 = 4/6, and 3/7 + 2/7 = 5/7 by adding the numerators.
3) To add fractions with different denominators, find the least common multiple (LCM) of the denominators as the new denominator, and adjust the numerators accordingly. For example, 2/3 + 1/4 is converted to 8/12 + 3/12 which equals 11/12.
This document contains notes and reminders from an algebra class. It discusses preparing for an upcoming test on topics like simplifying expressions, solving equations, and translating sentences to math. The warm-up questions involve solving simple equations. Class work will cover order of operations, integers, writing and solving equations. The test topics are also listed.
The document explains how to find the absolute value of a number by describing that it is the distance of that number from zero on the number line. It provides examples of calculating the absolute value of different positive and negative numbers. Finally, it has the reader find the absolute value of additional expressions to apply what they've learned.
1) Addition is the operation of combining or joining together two or more numbers to find their total or sum. An example is finding the total number of flowers by adding 4 flowers to 3 flowers, which is 4 + 3 = 7 flowers.
2) Addition can also be done using a number line. For example, to add 5 + 3, start at 5 on the number line, then jump 3 spaces to the right to land at 8, so 5 + 3 = 8.
3) Vertical addition with carrying allows adding two-digit numbers. For the example 23 + 48, add the units columns 3 + 8 = 11, but write 1 in the units column and carry the 1 to the tens column.
1) Adding fractions involves making the denominators the same by finding a common denominator, then simply adding the numerators.
2) Subtracting fractions also involves making the denominators the same, then subtracting the numerators.
3) When the denominators are different, the least common multiple (LCM) of the denominators is used to convert the fractions to equivalent fractions with a common denominator to allow addition or subtraction of the numerators.
This document provides information and examples about algebra rules and concepts including:
- Assigning variables to unknown quantities, such as assigning 'm' to the person who weighs the least.
- Identifying like terms in algebraic expressions as terms that contain the same variables raised to the same power, even if the coefficients are different.
- Providing formulas for perimeter and area of squares and triangles.
- Examples of translating word problems into algebraic expressions and equations, and simplifying expressions by combining like terms.
- A review of topics to be covered on Test #1, including simplifying expressions, solving simple one- and two-step equations, and translating sentences into algebraic representations.
1. Scientific notation is a way to write numbers as a product of a coefficient and a power of 10 to express very large and very small numbers.
2. A law is a statement of fact based on repeated observation that describes natural phenomena, while a theory is a well-substantiated explanation of such a law.
3. Significant figures indicate the precision or uncertainty of a measurement and are used to calculate the error in products and quotients of calculations.
This document contains a series of math problems involving operations with numbers, fractions, percentages, ratios, and algebra. The problems cover topics like ordering decimals, calculating change from purchases, finding distances on a map, identifying properties of quadrilaterals, solving equations, converting units, and simplifying algebraic expressions.
Subtraction involves taking away or subtracting one quantity from another. It can be shown using objects, a number line, or the standard column subtraction method. The column method involves borrowing from the neighboring place value if the number in the ones column is too small to subtract. For example, in 36 - 19, we cannot subtract 9 from 6 so we borrow 1 ten from the 3 in the tens place, making it a 2. This gives us 16 in the ones place to subtract 9 from, giving us 7 with 1 remaining in the tens place.
Addition is the operation of combining or joining together quantities to find the total amount. It is represented by the plus (+) symbol. Some key ways to perform addition include:
1) Counting all items being added together, such as counting 7 fish from 2 fish bowls containing 2 and 5 fish respectively.
2) Using a number line to visually jump from the first addend to the sum, such as jumping from 3 to 7 when adding 3 + 4.
3) The column or vertical method for adding multi-digit numbers, which involves carrying amounts over 10 to the next column, such as when adding 25 + 18 by carrying the 1 from 13 in the ones column.
This document provides instructions on how to add and subtract fractions. It explains that to add or subtract fractions, the denominators must be the same. It demonstrates how to find a common denominator when the fractions have different denominators by finding the least common multiple (LCM) of the denominators. Examples are provided of adding, subtracting, and changing denominators with step-by-step workings. Key steps are to add only the numerators when the denominators are the same, and to change the fractions to equivalent fractions with a common denominator when they differ.
This document contains notes from a math class that covered the following topics:
1) First quarter grades being posted, class work being due, and a review of order of operations and integers.
2) A warm-up on number sense including simplifying expressions and solving equations.
3) A beginning lesson on absolute value, defining it as the distance from zero and that it makes all values positive.
4) Examples of evaluating absolute value expressions and order of operations within absolute value. Class work and Khan Academy assignments were assigned.
Whole numbers include the natural numbers (1, 2, 3, etc.) and zero. They can be represented on a number line and have important properties - zero is the smallest whole number, there are an infinite number of whole numbers, and each whole number has a unique successor and predecessor obtained by adding or subtracting 1.
The document defines and provides examples of whole numbers, natural numbers, predecessors, successors, and the number line. It explains how addition, subtraction, and multiplication can be represented on the number line. Properties of whole numbers are discussed, including closure, commutativity, associativity, and the distributive property. Examples are given for each property to illustrate how operations with whole numbers follow consistent rules and patterns.
1. Scientific notation is used to express very large or very small numbers in a standard way using a coefficient and power of 10.
2. Theories are explanations based on repeated experimentation and observation, while laws are rules of nature. Theories do not become laws.
3. Significant figures tell us how precisely a measurement or number is known and indicate the reliability of the last digits.
Subtraction of fractions involves subtracting the numerators and keeping the same denominator. For fractions with different denominators, the least common multiple (LCM) of the denominators is found and both fractions are converted to have this denominator before subtracting. Examples shown include:
1) 5/6 - 1/6 = 4/6 by subtracting the numerators
2) 3/5 - 1/2 by finding the LCM of 5 and 2 (which is 10), converting to numerators of 6/10 and 5/10, and subtracting to get 1/10
3) 8/16 - 2/8 by finding the LCM of 16 and 8 (which is 16), converting to
Trigonometry is usually taught in a one-semester high school course, but 95% of trigonometry can be covered in 15 minutes. Trigonometry uses ratios defined by right triangles, including sine, cosine, and tangent, which relate the lengths of sides to angles. The Pythagorean theorem states that for a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. Java has methods like sin(), cos(), and tan() that allow calculating trigonometric functions of angles measured in radians.
The document discusses oblique triangles and the laws of sine and cosine. It provides examples of how to determine when to use the law of sine versus the law of cosine to solve problems involving oblique triangles. It also provides two example problems, showing the steps to solve for a missing side or angle using the appropriate law. The document aims to illustrate and have students practice applying the laws of sine and cosine to solve problems involving oblique triangles.
The document discusses ratios and using a pizza example to teach ratios to fourth grade students. It aims to help students understand the concept of ratios and be able to solve basic ratio problems. The example shows that if 2 slices are taken from an 8 slice pizza, the ratio of slices left (6) to the original total (8) is written as 6/8 or 3/4. The amount taken (2 slices) has a ratio of 2/8 or 1/4.
The document provides a summary of math concepts and example problems for review before a test on Monday, including:
- Systems of equations and inequalities, with examples of solving systems by substitution and elimination
- Determining the number of movie rentals at which two video clubs have the same total cost, found by setting their cost functions equal to each other and solving
- A word problem about determining the individual prices of gloves and hats from the total costs and quantities purchased by two shoppers
The document discusses absolute value, noting that absolute value represents the distance from zero regardless of direction. It provides examples of simplifying expressions involving absolute value, and explains that the absolute value of a variable depends on whether the variable is positive or negative.
Today's math class will review for the final exam by practicing the quadratic formula. Later this week, students will have a test on completing the square and the quadratic formula on Wednesday and begin learning about radical operations on Thursday. Students will work problems from their textbook as class work.
1. Graph E represents the graph where b > 0.5.
2. Graph D represents the graph where x < -7.7.
3. Solving the equation 6(x + 3) + 1 = -11 yields x = -7.
1) The document discusses graphing linear inequalities on a number line and coordinate plane. It provides examples of solving inequalities for y and graphing the corresponding boundary lines, shading the appropriate regions.
2) Methods for graphing inequalities include solving for y, graphing the boundary line, and shading the correct region based on whether the inequality is <, ≤, >, or ≥.
3) An example problem models an inequality describing the maximum number of nickels and dimes that can be had with less than $5.00, graphing the solution on the n-d plane.
1. The document provides information and formulas for calculating percent increase, percent decrease, finding original prices after increases or discounts.
2. Formulas are given for calculating new prices or numbers when increased or decreased by a given percent, as well as finding the original price when the final price is known after an increase or decrease.
3. Examples are provided to demonstrate how to use the formulas to calculate percent changes, find original prices before or after increases/decreases, and order fractions in decimal form.
1) Addition is the operation of combining or joining together two or more numbers to find their total or sum. An example is finding the total number of flowers by adding 4 flowers to 3 flowers, which is 4 + 3 = 7 flowers.
2) Addition can also be done using a number line. For example, to add 5 + 3, start at 5 on the number line, then jump 3 spaces to the right to land at 8, so 5 + 3 = 8.
3) Vertical addition with carrying allows adding two-digit numbers. For the example 23 + 48, add the units columns 3 + 8 = 11, but write 1 in the units column and carry the 1 to the tens column.
1) Adding fractions involves making the denominators the same by finding a common denominator, then simply adding the numerators.
2) Subtracting fractions also involves making the denominators the same, then subtracting the numerators.
3) When the denominators are different, the least common multiple (LCM) of the denominators is used to convert the fractions to equivalent fractions with a common denominator to allow addition or subtraction of the numerators.
This document provides information and examples about algebra rules and concepts including:
- Assigning variables to unknown quantities, such as assigning 'm' to the person who weighs the least.
- Identifying like terms in algebraic expressions as terms that contain the same variables raised to the same power, even if the coefficients are different.
- Providing formulas for perimeter and area of squares and triangles.
- Examples of translating word problems into algebraic expressions and equations, and simplifying expressions by combining like terms.
- A review of topics to be covered on Test #1, including simplifying expressions, solving simple one- and two-step equations, and translating sentences into algebraic representations.
1. Scientific notation is a way to write numbers as a product of a coefficient and a power of 10 to express very large and very small numbers.
2. A law is a statement of fact based on repeated observation that describes natural phenomena, while a theory is a well-substantiated explanation of such a law.
3. Significant figures indicate the precision or uncertainty of a measurement and are used to calculate the error in products and quotients of calculations.
This document contains a series of math problems involving operations with numbers, fractions, percentages, ratios, and algebra. The problems cover topics like ordering decimals, calculating change from purchases, finding distances on a map, identifying properties of quadrilaterals, solving equations, converting units, and simplifying algebraic expressions.
Subtraction involves taking away or subtracting one quantity from another. It can be shown using objects, a number line, or the standard column subtraction method. The column method involves borrowing from the neighboring place value if the number in the ones column is too small to subtract. For example, in 36 - 19, we cannot subtract 9 from 6 so we borrow 1 ten from the 3 in the tens place, making it a 2. This gives us 16 in the ones place to subtract 9 from, giving us 7 with 1 remaining in the tens place.
Addition is the operation of combining or joining together quantities to find the total amount. It is represented by the plus (+) symbol. Some key ways to perform addition include:
1) Counting all items being added together, such as counting 7 fish from 2 fish bowls containing 2 and 5 fish respectively.
2) Using a number line to visually jump from the first addend to the sum, such as jumping from 3 to 7 when adding 3 + 4.
3) The column or vertical method for adding multi-digit numbers, which involves carrying amounts over 10 to the next column, such as when adding 25 + 18 by carrying the 1 from 13 in the ones column.
This document provides instructions on how to add and subtract fractions. It explains that to add or subtract fractions, the denominators must be the same. It demonstrates how to find a common denominator when the fractions have different denominators by finding the least common multiple (LCM) of the denominators. Examples are provided of adding, subtracting, and changing denominators with step-by-step workings. Key steps are to add only the numerators when the denominators are the same, and to change the fractions to equivalent fractions with a common denominator when they differ.
This document contains notes from a math class that covered the following topics:
1) First quarter grades being posted, class work being due, and a review of order of operations and integers.
2) A warm-up on number sense including simplifying expressions and solving equations.
3) A beginning lesson on absolute value, defining it as the distance from zero and that it makes all values positive.
4) Examples of evaluating absolute value expressions and order of operations within absolute value. Class work and Khan Academy assignments were assigned.
Whole numbers include the natural numbers (1, 2, 3, etc.) and zero. They can be represented on a number line and have important properties - zero is the smallest whole number, there are an infinite number of whole numbers, and each whole number has a unique successor and predecessor obtained by adding or subtracting 1.
The document defines and provides examples of whole numbers, natural numbers, predecessors, successors, and the number line. It explains how addition, subtraction, and multiplication can be represented on the number line. Properties of whole numbers are discussed, including closure, commutativity, associativity, and the distributive property. Examples are given for each property to illustrate how operations with whole numbers follow consistent rules and patterns.
1. Scientific notation is used to express very large or very small numbers in a standard way using a coefficient and power of 10.
2. Theories are explanations based on repeated experimentation and observation, while laws are rules of nature. Theories do not become laws.
3. Significant figures tell us how precisely a measurement or number is known and indicate the reliability of the last digits.
Subtraction of fractions involves subtracting the numerators and keeping the same denominator. For fractions with different denominators, the least common multiple (LCM) of the denominators is found and both fractions are converted to have this denominator before subtracting. Examples shown include:
1) 5/6 - 1/6 = 4/6 by subtracting the numerators
2) 3/5 - 1/2 by finding the LCM of 5 and 2 (which is 10), converting to numerators of 6/10 and 5/10, and subtracting to get 1/10
3) 8/16 - 2/8 by finding the LCM of 16 and 8 (which is 16), converting to
Trigonometry is usually taught in a one-semester high school course, but 95% of trigonometry can be covered in 15 minutes. Trigonometry uses ratios defined by right triangles, including sine, cosine, and tangent, which relate the lengths of sides to angles. The Pythagorean theorem states that for a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. Java has methods like sin(), cos(), and tan() that allow calculating trigonometric functions of angles measured in radians.
The document discusses oblique triangles and the laws of sine and cosine. It provides examples of how to determine when to use the law of sine versus the law of cosine to solve problems involving oblique triangles. It also provides two example problems, showing the steps to solve for a missing side or angle using the appropriate law. The document aims to illustrate and have students practice applying the laws of sine and cosine to solve problems involving oblique triangles.
The document discusses ratios and using a pizza example to teach ratios to fourth grade students. It aims to help students understand the concept of ratios and be able to solve basic ratio problems. The example shows that if 2 slices are taken from an 8 slice pizza, the ratio of slices left (6) to the original total (8) is written as 6/8 or 3/4. The amount taken (2 slices) has a ratio of 2/8 or 1/4.
The document provides a summary of math concepts and example problems for review before a test on Monday, including:
- Systems of equations and inequalities, with examples of solving systems by substitution and elimination
- Determining the number of movie rentals at which two video clubs have the same total cost, found by setting their cost functions equal to each other and solving
- A word problem about determining the individual prices of gloves and hats from the total costs and quantities purchased by two shoppers
The document discusses absolute value, noting that absolute value represents the distance from zero regardless of direction. It provides examples of simplifying expressions involving absolute value, and explains that the absolute value of a variable depends on whether the variable is positive or negative.
Today's math class will review for the final exam by practicing the quadratic formula. Later this week, students will have a test on completing the square and the quadratic formula on Wednesday and begin learning about radical operations on Thursday. Students will work problems from their textbook as class work.
1. Graph E represents the graph where b > 0.5.
2. Graph D represents the graph where x < -7.7.
3. Solving the equation 6(x + 3) + 1 = -11 yields x = -7.
1) The document discusses graphing linear inequalities on a number line and coordinate plane. It provides examples of solving inequalities for y and graphing the corresponding boundary lines, shading the appropriate regions.
2) Methods for graphing inequalities include solving for y, graphing the boundary line, and shading the correct region based on whether the inequality is <, ≤, >, or ≥.
3) An example problem models an inequality describing the maximum number of nickels and dimes that can be had with less than $5.00, graphing the solution on the n-d plane.
1. The document provides information and formulas for calculating percent increase, percent decrease, finding original prices after increases or discounts.
2. Formulas are given for calculating new prices or numbers when increased or decreased by a given percent, as well as finding the original price when the final price is known after an increase or decrease.
3. Examples are provided to demonstrate how to use the formulas to calculate percent changes, find original prices before or after increases/decreases, and order fractions in decimal form.
This document provides tips for solving algebra problems. It recommends spending the first three minutes of a five minute problem analyzing the equation before attempting to solve. It also notes that when an equation has a negative number isolated on one side, like -x = 12, the negative number should either be divided out or the final solution multiplied by -1 to solve for the variable instead of its opposite.
This document provides reminders and homework assignments for students. It lists tasks to complete Star Math, view Khan topics posted for 11/10/12, submit a name for Math Court, do a quick review for the final exam, and complete the final. It also notes the return to school date of November 7th and an upcoming department meeting at lunch. It ends with 2 math questions for review and a reminder to review formulas in notebooks.
This document contains notes from a math class that covered inequalities. It begins with warm-up questions involving order of operations and solving equations. It then introduces inequalities, explaining that they can have multiple solutions rather than a single value. Examples are given of inequality signs for height, drinking age, and speed limits. The rules for solving inequalities are explained, including that the inequality sign must be flipped when multiplying or dividing by a negative number. Students are provided practice problems solving and graphing inequalities on a number line.
The document contains information about a rectangle with an actual width of 18 inches and a scale drawing. It asks to find the actual length using the scale. It also contains unrelated math word problems about decreasing a number by 60%, finding unit cost in ounces, and finding percent change in price. The document seems to be parts of different math problems from a textbook or worksheet.
The document provides warm up exercises to find the dimensions of a triangle with an area of 78 square yards and to find the length and width of an unknown shape. It also instructs students to apply rules for rational expressions to calculate carefully the expression 6/x + 2 and include scratch work for homework problems 1 through 20.
This document provides instructions on factoring polynomials and using the zero product property to solve equations. It includes examples of factoring quadratic, cubic, and quartic polynomials as well as solving equations by factoring. Steps are outlined for solving equations using the zero product property to set factors equal to zero and find the solution set. Examples demonstrate factoring polynomials and solving equations by factoring and applying the zero product property.
The document provides an agenda for a math class that includes a warm-up on writing linear equations in different forms, reviewing for a test, and applying linear equations to real world word problems. Students will work on graphing and analyzing a linear equation representing profit based on the number of tickets sold.
The document appears to be notes from a math class that include:
1) A warm up section with 6 math problems;
2) A review of factoring by grouping with 4 examples;
3) An announcement about an upcoming class work handout and factoring trinomials tomorrow.
Notes provide definitions of fractions as parts of a whole and key vocabulary like numerator and denominator. Formulas are given for adding and subtracting fractions with the same or different denominators. An activity has students label fractions on a ruler and solve fraction equations.
The document provides a warm-up for a math class that includes 10 questions reviewing slope-intercept form and graphing lines. It asks students to find slopes and intercepts, write equations of lines given points or slope/intercept, identify lines based on equations, and determine what quadrant a line would not pass through given its slope and y-intercept. It also notes that all class work from the present class and past is due today or tomorrow if they meet before the Christmas break.
Equivalent fractions represent the same amount or portion of a whole but have different numerators and denominators. They are sometimes called equal fractions. Equivalent fractions can be obtained by multiplying or dividing the numerator and denominator by the same number. Examples are provided of equivalent fractions with missing numerators or denominators that can be determined. The document concludes with practice problems and their answers for finding equivalent fractions.
The document provides a study guide for a test on simplifying radicals, instructing the student to review yesterday's work, complete class work from earlier in the week, and providing an example radical equation to solve.
1. The document discusses factoring perfect square trinomials, which are polynomials where the first term is a perfect square, the third term is a perfect square, and the coefficient of the second term is twice the square root of the product of the first and third term coefficients.
2. To factor a perfect square trinomial, take the square root of the first term, add it to the square root of the third term, and place it in parentheses twice to get the two factors.
3. Examples are provided of determining if a trinomial is a perfect square and factoring perfect square trinomials like x2 + 10x + 25 as (x + 5)2.
This document provides 100 numerical aptitude questions asked in campus placements by companies like Infosys, TCS, CTS, Wipro and Accenture, along with their solutions. It aims to help students target their learning and know more than their competitors. Some key topics covered include number systems, time and work problems, percentages, and geometry. The author provides contact information for students who have additional doubts.
500 most asked apti ques in tcs, wipro, infos(105pgs)PRIYANKKATIYAR2
This document provides 100 numerical aptitude questions and solutions that are commonly asked in campus recruitment drives by companies like Infosys, TCS, CTS, Wipro and Accenture. The questions cover topics such as number systems, permutations, combinations, time and work problems, percentages, profit and loss, and geometry. Shortcuts and tips are provided to solve problems more quickly. The questions are divided into parts for each company and an index provides the topic distribution of questions for each company.
Mathematics high school level quiz - Part IITfC-Edu-Team
The document outlines the format and questions for a mathematics quiz with multiple rounds. It begins with a two-part quiz where groups are given problem cards to solve. The subsequent rounds include warm-up questions testing concepts like geometry, averages, and number puzzles, as well as "real math" and logic rounds. Later rounds involve problem-solving, model-making to demonstrate algebraic identities, and a final written work discussion period.
The document discusses problem solving and reasoning skills, describing inductive reasoning as forming conclusions based on specific examples while deductive reasoning applies general principles to reach conclusions, and provides examples of using each type of reasoning to solve problems and puzzles that require logical thinking.
This is the course or teachers in Indonesia on number sense for Primary 4 to 6. It covers place values, regrouping, large number multiplication and division and some ideas on estimation and multiples.
The document discusses permutations and combinations. It provides examples of calculating permutations and combinations for different scenarios like selecting committees from a group of people and arranging books on a shelf. Formulas for permutations (nPr) and combinations (nCr) are given. Order matters for permutations but not for combinations. The key difference between the two is explained.
This document provides a summary of various maths concepts including:
- Square numbers are numbers multiplied by themselves such as 4 squared being 4 x 4 = 16.
- Multiples are numbers in times tables such as the multiples of 5 being 5, 10, 15, etc.
- Common large and small numbers include trillion, billion, million, thousand, and smaller denominations.
- Factors are numbers that divide evenly into another number like 1, 2, 3, 6 being factors of 12.
- Prime numbers can only be divided by 1 and themselves such as 5 and 97 being prime.
This document provides an answer key for a CTE Math assessment with two parts: a short answer section and a performance assessment section. The short answer section contains questions about gift cards, timesheets, rent calculations, purchases with earnings, food costs, and word problems. The performance section involves writing a memo estimating t-shirt costs, creating an invoice for landscaping work, and measuring paper to given dimensions.
The document discusses an afterschool program called Afterschoool that offers mathematics and aptitude tests as well as a social entrepreneurship program. It provides examples of reasoning questions and puzzles asked in the tests. It also details plans to open branches in major Indian cities and develop case studies on social entrepreneurs through collaboration with entrepreneurs. The basic values promoted at Afterschoool are sharing knowledge, learning from mistakes, asking questions, and embracing change.
This document contains a countdown round from the 2009 MATH COUNTS chapter competition, consisting of 62 multiple choice math questions with answers. The questions cover a wide range of math topics including arithmetic, algebra, geometry, probability, and word problems. The summary provides an overview of the type and scope of questions included in the document without reproducing any specific questions or answers.
The document discusses significant figures and measurement uncertainty in science. It explains that only digits that are meaningful based on the precision of the measurement should be written down. It then provides examples of determining the number of significant figures in different measurements using the "Pacific-Atlantic rule". Rules for addition, subtraction, multiplication and division based on significant figures are also outlined. Finally, examples of using dimensional analysis to convert between different units are given.
2nd 9 weeks review independent review unit 2 and unit 3arinedge
This document contains a study guide for a 2nd 9 weeks math review. It includes 29 practice problems covering various math topics like inequalities, proportions, scale drawings, unit rates, and solving equations. For each problem, students are instructed to show their work on paper and review the answers provided after sets of problems. The goal is to prepare for an upcoming math test by working through examples and checking answers.
This document is a study guide for a math test covering inequalities, proportions, scale drawings, and unit rates. It contains sample problems and their step-by-step solutions. The guide instructs students to work through practice problems on their own paper and review the answers provided. It aims to prepare students for a test by reviewing key concepts and working additional similar problems.
This document contains information about ratios, proportions, and using proportional relationships to solve problems:
1. It provides examples of writing and solving proportions to determine unknown values. Proportions can be written as fraction or ratio equations and solved using cross products.
2. It discusses how to identify if a relationship is proportional by determining if the graph is a straight line that passes through the origin, and how to write an equation to represent a proportional relationship using a unit rate.
3. It contains lessons on recognizing and representing proportional relationships between quantities, identifying constants of proportionality, and using proportional relationships to solve multi-step ratio and percent problems.
This document provides an overview of topics related to data analysis, statistics, and probability that may be covered on the SAT. It includes brief explanations of different types of graphs used to display data, guidelines for interpreting data from graphs, tables, and charts, definitions and examples of common statistical concepts like mean, median, mode, and weighted average, and explanations of probability, independent and dependent events, and calculating probabilities using geometric models. Practice problems with solutions are provided as examples.
The document provides information about preparing for and taking the PSLE Mathematics exam in Singapore. It discusses the structure of the exam, which consists of two papers, and outlines the curriculum focus on problem solving. It also provides examples of different types of math problems students may encounter on the exam. At the end, it discusses a news article where parents complained that this year's PSLE math exam was unusually difficult, possibly because it was the first year calculators were allowed.
Today's agenda includes a math lesson covering personal strategies for addition, subtraction, multiplication, and division. The schedule also includes a nutrition break, looking at virtual manipulatives and resources, lunch, and an assessment period. The document discusses teaching math concepts conceptually rather than procedurally and the importance of understanding operations rather than just memorizing computations. It provides examples of story problems and strategies adults use to solve math problems informally in everyday life.
This document discusses problem solving and reasoning in mathematics. It outlines various problem solving strategies and techniques including understanding the problem, devising a plan, carrying out the plan, and checking answers. Examples are provided to illustrate applying these steps to word problems involving ages, ratios, and logic puzzles. Different problem solving approaches are described such as looking for patterns, making organized lists, guessing and checking, using tables, and working backwards. The document also discusses inductive and deductive reasoning as well as recreational math problems.
This document provides an overview of combinatorics concepts including the sum rule, product rule, permutations, combinations, and more. The sum rule states that if tasks are independent, the number of ways to do either task is the sum of the number of ways to do each individually. The product rule states that if tasks are independent, the number of ways to do both tasks simultaneously is the product of the number of ways to do each. Examples are provided to illustrate these rules. The document also covers permutations, combinations, the pigeonhole principle, and distributing distinguishable objects into boxes.
This document provides a 3-sentence summary of a mathematics textbook chapter on polygons:
The chapter discusses different types of polygons based on their number of sides, such as triangles having three sides and pentagons having five sides. It also presents formulas for calculating the sum of interior angles in polygons by dividing them into simpler shapes. Regular polygons are defined as those with all sides of equal length and all interior angles equal.
The document provides classwork and practice problems related to algebraic expressions and one-step equations. New vocabulary terms introduced are coefficient and like terms. Examples are given of adding and subtracting like terms. There are also practice problems for translating expressions, solving one-step equations, and word problems involving algebraic relationships between variables.
This document provides instructions and examples for students on organizing their math notebooks. It includes examples of how to categorize different math concepts like properties, formulas, and vocabulary in the resource section. It also provides warm-up problems covering large and small numbers. Students are instructed to complete homework assignment 1.1 by the due date of August 23, 2016. They are also given examples of translating expressions and equations.
This document contains a math lesson on large and small numbers, number relationships, and problem solving. It includes warm-up questions about numbers greater than or less than a trillion, billions, and millions. It also has questions about the width of a human hair, distance from Earth to the Sun, and how fast a hummingbird flaps its wings. The document provides answers to the warm-up questions and has an end of week review on number operations and translating word problems into algebraic equations. It concludes with an example of solving a multi-step word problem algebraically to find the individual weights of Mike, Bob, and Don.
This document contains reminders for school supplies needed by Monday, an overview of the 5 essential understandings of algebra, and 5 fraction practice questions. The 5 essential understandings are: 1) Algebra is a method for solving math problems, not the problems themselves. 2) Mathematics uses symbols as shortcuts. 3) Algebra rules come from natural number rules. 4) Algebra examines patterns and relationships between numbers. 5) Look for equality and use it to your advantage when solving problems. Mastering multiplication tables is also emphasized.
The document outlines the daily routine and learning process for a math class. It includes:
1. A warm-up with 4-5 review or new problems to introduce topics for the day. Class work is to be completed during class time and any unfinished work should be done outside of class.
2. New concepts are introduced through demonstration by the teacher, then practiced together through examples before students work independently.
3. Additional learning resources like online math sites are provided to support studying outside of class, since class time is limited to 60 minutes per day.
4. A short practice test is included covering translating expressions, order of operations, and fractions to gauge readiness.
i) The document discusses various methods for solving systems of linear equations, including graphing, substitution, elimination, and cross-multiplication.
ii) It also addresses solving systems that can be reduced to linear equations, such as transforming non-linear equations using substitution.
iii) Examples are provided to illustrate each method for deriving the solution of a system of equations.
The document provides examples for solving systems of equations through various methods like elimination, substitution, and word problems. It demonstrates setting up systems as equations based on information provided, choosing an elimination method by adding or multiplying equations, isolating variables, substituting values, and checking solutions. Word problems are converted to systems of equations and then solved to find unknown variable values.
The document provides information about assignments and tests for today and upcoming dates. It includes notes about 4th quarter grade trackers, make-up tests during lunch, systems of equations lessons for some periods today and tomorrow, and distributing worksheets. The document also contains math content on solving systems of equations by graphing, substitution, and elimination.
The document discusses reviewing Khan Academy topics on systems of equations and solving 3x3 systems. It includes examples of solving systems of equations by elimination, addition, and substitution. Students will review methods, complete assignments, and take a five question quiz on solving systems of equations.
The document provides instructions for practicing Khan Academy topics on systems of equations word problems. It also reminds the student to make progress on homework 4.1-4.2 which is due on Friday for full credit. Examples are given for solving systems of equations by substitution and word problems involving jeans/shirts and movie tickets.
This document provides information about upcoming tests, review material, and math concepts to be covered in class. It includes:
- Details on making up remaining tests and reviewing for the final exam
- The 5 most missed questions from the last test
- Vocabulary and terms related to systems of equations to be covered
- Sample word problems and equations involving ratios, rates, percents, and lines to work on for the next class
The document provides examples and steps for solving systems of inequalities and linear equations. It discusses graphing a single inequality, the steps for graphing systems of inequalities, and provides an example of solving a two-variable linear system of inequalities. Sample problems include determining the number of hours until costs are the same for two plumbing companies and graphing the inequality y < 5x + 1.
This document contains a daily agenda and warm-up problems for math class including:
1) Solving systems of equations by graphing, substitution, and elimination. Example problems include solving for costs of flowers and costs of different internet providers over time.
2) Review of fractions, inequalities, and solving multi-step equations.
3) An example of solving a 3x3 system of equations by eliminating a variable and substituting values.
4) Warm-up questions ask students to write and solve systems of equations modeling real-world scenarios like costs of soccer equipment and costs of fitness clubs over time.
The document provides a review of topics related to solving systems of equations and inequalities including:
1) There are two methods for solving systems - elimination or substitution. An example problem is worked through using elimination.
2) When graphing systems of inequalities, each line must be drawn and labeled as above, below, or dashed before moving to the next line.
3) Word problems can be modeled with systems and solved, such as determining the number of chickens and pigs given the total number of legs.
This document contains examples of solving systems of equations word problems. It begins with a warm-up problem about a math test worth a total of 63 points made up of 2-point and 3-point problems. Then it provides steps for solving systems of equations, including labeling variables, writing equations, solving, and checking. Finally, it applies these steps to two word problems, one about movie tickets and one about flowers for Valentine's Day.
The document provides instruction on calculating and interpreting slope. It defines slope as the ratio of rise over run between two points on a line. It gives the formula for calculating slope as the change in y over the change in x between two points. Several examples are worked out step-by-step to demonstrate calculating slope from graphs and point pairs. Key concepts covered include identifying horizontal and vertical lines that have slopes of 0 and undefined respectively.
The document discusses various formulas used to represent lines in the coordinate plane, including:
- Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
- Point-slope form: y – y1 = m(x – x1), where (x1, y1) is a known point on the line and m is the slope.
- Standard form: Ax + By = C, where A, B, and C are constants and A and B cannot both be 0.
It provides examples of writing equations of lines in different forms given information like the slope, a point, or the graph of the line. Converting between
The document provides information about an upcoming test on coordinate planes and linear functions. It includes:
- A review of topics to be covered on the test like functions, ordered pairs, slope of a line, and standard form of a line.
- Examples of problems about domain and range, graphing lines, finding intercepts, and interpreting graphs.
- Instructions to have materials like graph paper and a calculator ready for working through sample problems.
- A reminder that attempting all problems is better than leaving them blank on the test.
The document outlines an agenda for a math class that includes a warm-up on missed test questions, learning about functions and their domains and ranges, using the vertical line test to determine if a relation is a function, and interpreting graphs. It provides examples of mapping relations to check if they are functions and using the vertical line test. Students are given practice problems to determine if relations are functions and to graph relations and use the vertical line test.
This document provides instruction on determining the domain and range of functions, identifying functions using mapping and the vertical line test, and interpreting graphs. It includes examples of determining domain and range for various functions defined by equations. Warm-up questions are provided to have students plot points and draw lines from equations. Students are reminded that their class work CW 3.4 is due for full credit.
High performance Serverless Java on AWS- GoTo Amsterdam 2024Vadym Kazulkin
Java is for many years one of the most popular programming languages, but it used to have hard times in the Serverless community. Java is known for its high cold start times and high memory footprint, comparing to other programming languages like Node.js and Python. In this talk I'll look at the general best practices and techniques we can use to decrease memory consumption, cold start times for Java Serverless development on AWS including GraalVM (Native Image) and AWS own offering SnapStart based on Firecracker microVM snapshot and restore and CRaC (Coordinated Restore at Checkpoint) runtime hooks. I'll also provide a lot of benchmarking on Lambda functions trying out various deployment package sizes, Lambda memory settings, Java compilation options and HTTP (a)synchronous clients and measure their impact on cold and warm start times.
AppSec PNW: Android and iOS Application Security with MobSFAjin Abraham
Mobile Security Framework - MobSF is a free and open source automated mobile application security testing environment designed to help security engineers, researchers, developers, and penetration testers to identify security vulnerabilities, malicious behaviours and privacy concerns in mobile applications using static and dynamic analysis. It supports all the popular mobile application binaries and source code formats built for Android and iOS devices. In addition to automated security assessment, it also offers an interactive testing environment to build and execute scenario based test/fuzz cases against the application.
This talk covers:
Using MobSF for static analysis of mobile applications.
Interactive dynamic security assessment of Android and iOS applications.
Solving Mobile app CTF challenges.
Reverse engineering and runtime analysis of Mobile malware.
How to shift left and integrate MobSF/mobsfscan SAST and DAST in your build pipeline.
What is an RPA CoE? Session 1 – CoE VisionDianaGray10
In the first session, we will review the organization's vision and how this has an impact on the COE Structure.
Topics covered:
• The role of a steering committee
• How do the organization’s priorities determine CoE Structure?
Speaker:
Chris Bolin, Senior Intelligent Automation Architect Anika Systems
From Natural Language to Structured Solr Queries using LLMsSease
This talk draws on experimentation to enable AI applications with Solr. One important use case is to use AI for better accessibility and discoverability of the data: while User eXperience techniques, lexical search improvements, and data harmonization can take organizations to a good level of accessibility, a structural (or “cognitive” gap) remains between the data user needs and the data producer constraints.
That is where AI – and most importantly, Natural Language Processing and Large Language Model techniques – could make a difference. This natural language, conversational engine could facilitate access and usage of the data leveraging the semantics of any data source.
The objective of the presentation is to propose a technical approach and a way forward to achieve this goal.
The key concept is to enable users to express their search queries in natural language, which the LLM then enriches, interprets, and translates into structured queries based on the Solr index’s metadata.
This approach leverages the LLM’s ability to understand the nuances of natural language and the structure of documents within Apache Solr.
The LLM acts as an intermediary agent, offering a transparent experience to users automatically and potentially uncovering relevant documents that conventional search methods might overlook. The presentation will include the results of this experimental work, lessons learned, best practices, and the scope of future work that should improve the approach and make it production-ready.
Northern Engraving | Nameplate Manufacturing Process - 2024Northern Engraving
Manufacturing custom quality metal nameplates and badges involves several standard operations. Processes include sheet prep, lithography, screening, coating, punch press and inspection. All decoration is completed in the flat sheet with adhesive and tooling operations following. The possibilities for creating unique durable nameplates are endless. How will you create your brand identity? We can help!
ScyllaDB is making a major architecture shift. We’re moving from vNode replication to tablets – fragments of tables that are distributed independently, enabling dynamic data distribution and extreme elasticity. In this keynote, ScyllaDB co-founder and CTO Avi Kivity explains the reason for this shift, provides a look at the implementation and roadmap, and shares how this shift benefits ScyllaDB users.
How information systems are built or acquired puts information, which is what they should be about, in a secondary place. Our language adapted accordingly, and we no longer talk about information systems but applications. Applications evolved in a way to break data into diverse fragments, tightly coupled with applications and expensive to integrate. The result is technical debt, which is re-paid by taking even bigger "loans", resulting in an ever-increasing technical debt. Software engineering and procurement practices work in sync with market forces to maintain this trend. This talk demonstrates how natural this situation is. The question is: can something be done to reverse the trend?
"What does it really mean for your system to be available, or how to define w...Fwdays
We will talk about system monitoring from a few different angles. We will start by covering the basics, then discuss SLOs, how to define them, and why understanding the business well is crucial for success in this exercise.
In our second session, we shall learn all about the main features and fundamentals of UiPath Studio that enable us to use the building blocks for any automation project.
📕 Detailed agenda:
Variables and Datatypes
Workflow Layouts
Arguments
Control Flows and Loops
Conditional Statements
💻 Extra training through UiPath Academy:
Variables, Constants, and Arguments in Studio
Control Flow in Studio
"NATO Hackathon Winner: AI-Powered Drug Search", Taras KlobaFwdays
This is a session that details how PostgreSQL's features and Azure AI Services can be effectively used to significantly enhance the search functionality in any application.
In this session, we'll share insights on how we used PostgreSQL to facilitate precise searches across multiple fields in our mobile application. The techniques include using LIKE and ILIKE operators and integrating a trigram-based search to handle potential misspellings, thereby increasing the search accuracy.
We'll also discuss how the azure_ai extension on PostgreSQL databases in Azure and Azure AI Services were utilized to create vectors from user input, a feature beneficial when users wish to find specific items based on text prompts. While our application's case study involves a drug search, the techniques and principles shared in this session can be adapted to improve search functionality in a wide range of applications. Join us to learn how PostgreSQL and Azure AI can be harnessed to enhance your application's search capability.
The Microsoft 365 Migration Tutorial For Beginner.pptxoperationspcvita
This presentation will help you understand the power of Microsoft 365. However, we have mentioned every productivity app included in Office 365. Additionally, we have suggested the migration situation related to Office 365 and how we can help you.
You can also read: https://www.systoolsgroup.com/updates/office-365-tenant-to-tenant-migration-step-by-step-complete-guide/
inQuba Webinar Mastering Customer Journey Management with Dr Graham HillLizaNolte
HERE IS YOUR WEBINAR CONTENT! 'Mastering Customer Journey Management with Dr. Graham Hill'. We hope you find the webinar recording both insightful and enjoyable.
In this webinar, we explored essential aspects of Customer Journey Management and personalization. Here’s a summary of the key insights and topics discussed:
Key Takeaways:
Understanding the Customer Journey: Dr. Hill emphasized the importance of mapping and understanding the complete customer journey to identify touchpoints and opportunities for improvement.
Personalization Strategies: We discussed how to leverage data and insights to create personalized experiences that resonate with customers.
Technology Integration: Insights were shared on how inQuba’s advanced technology can streamline customer interactions and drive operational efficiency.
2. Yesterday, 22 students spent a total of 984
minutes working the Mastery Problems.
(45 minutes/student average)
I see the time and effort that you put forth
and I appreciate it.
* emails…
Khan Academy Update
3. Vocabulary:
1. Working with Negative Numbers:
The symbol for negative numbers ( - ), means
“The Opposite of”
All positive numbers could be written with a „+‟ in front of
them, but the sign was left off as the number system
developed. So, numbers with a sign are the „opposite‟ of
whatever number follows. - 4 - ( - 4)
10 – 4 is really 10 + the opposite of 4. All subtraction is the
addition of the opposite.
When you add any number and its opposite, you get…?
4. 1. Find the perimeter of the rectangle:
Warm-Up: Formulas & Equations
14‟
6‟
2. Find the area of the rectangle:
3. That was basic arithmetic. Now let‟s use algebra to
solve this one: Write and an equation to find the width of
the rectangle if the length is 60‟ and the perimeter is 180‟
L =60‟
P = 180‟
4. What if…, the area of the rectangle is 68‟ and the
width is 4‟. What is the length?
A = 68‟
W = 4‟
5. 1. As the head pastry chef, you make $7.00/hr. So far you
have earned $42.00. Which of the following equations is
the algebraic model for this situation?
Warm-Up: Writing Equations to Solve Problems
2. You drove 510 miles across three states in six hours.
Write an equation, then solve showing your average rate
of speed.
6. Warm-Up: Equations & Translating
1. Buck has $20 more than Roger. Togetherthey have $60. How
much does each one have?
2. Peterhas $6 more than Meg. Chris has $18 more than Peter.They
have $84 all together.How much does each one have?
3. The sum of 3 consecutivenumbers is 87. What are the three
numbers?
Key Concepts: Always Assign the variable to the smallest,
least, lightest, shortest, etc. Every other number is shown by its
relationship to the variable.
4. Billy Bob worked 6 hours less than Sally May.Togetherthey
worked 64 hours. How many hours did each work?
Editor's Notes
Embossed text(Basic)To reproduce the shape effects on this slide, do the following:On the Home tab, in the Drawing group, click Shapes, and then under Rectangles, click Rectangle (first option from the left). On the slide, drag to draw a rectangle.Select the rectangle. On the Home tab, in the Drawing group, click the arrow next toShape Fill, and then under Theme Colorsclick Blue, Accent 1, Darker 25% (fifth row, fifth option from the left).On the Home tab, in the Drawing group, click the arrow next toShape Outline, and then click No Outline.On the Home tab, in the Drawing group, click Shape Effects, point to Bevel, and then under Bevel click Cool Slant (first row, fourth option from the left).On the Home tab, in the Drawing group, click Shapes, and then under Rectangles, click Rectangle (first option from the left). On the slide, drag to draw another rectangle, slightly larger than the first rectangle. Select the second rectangle. On the Home tab, in the Drawing group, click the arrow next toShape Fill, and then click No Fill.On the Home tab, in the Drawing group, click the arrow next toShape Outline, and then click Blue, Accent 1, Lighter 40% (fourth row, fifth option from the left).On the Home tab, in the Drawing group, click the arrow next toShape Outline, point to Dashes, and then click More Lines.In the Format Shape dialog box, click Line Style in the left pane, and then do the following in the Line Style pane:In the Width box, enter 1.25 pt.Click the button next to Dash type, and then click Square Dot (third option from the top). To reproduce the text effects on this slide, do the following:On the Home tab, in theSlides group, click Layout, and then click Blank.On the Insert tab, in the Text group, click Text Box, and then on the slide, drag to draw the text box.Enter text in the text box, select the text, and then on the Home tab, in the Font group, select Copperplate Gothic Boldfrom the Font list, and then select 48 from the Font Size list.On the Home tab, in the Paragraph group, click Center to center the text in the text box.Select the text. Under Drawing Tools, on the Format tab, in the WordArt Styles group, click the arrow next to Text Fill, and then under Theme Colors click Blue, Accent 1, Darker 25% (fifth row, fifth option from the left). Under Drawing Tools, on the Format tab, in the bottom right corner of the WordArt Styles group, click the Format Text Effects dialog box launcher. In the Format Text Effects dialog box, click 3-D Format in the left pane, and then do the following under Bevel in the 3-D Format pane: Click the button next to Top, and then under Bevel click Circle (first row, first option from the left). Next to Top, in the Width box, enter 2 pt. Next to Top, in the Height box,enter2 pt. To reproduce the background on this slide, do the following:Right-click the slide background area, and then clickFormat Background.In the Format Background dialog box, click Fill in the left pane, select Gradient fill in the Fill pane, and then do the following:In the Type list, select Radial.Click the button next to Direction, and then clickFrom Center (third option from the left).Under Gradient stops, click Add or Remove until two stops appear in the drop-down list.Also under Gradient stops, customize the gradient stops that you added as follows:Select Stop 1 from the list, and then do the following:In the Stop position box, enter0%.Click the button next to Color, click More Colors, and then in the Colors dialog box, on the Custom tab, enter values for Red: 65, Green: 68, Blue: 97.Select Stop 2 from the list, and then do the following:In the Stop position box, enter99%.Click the button next to Color, and then under Theme Colorsclick Black, Text 1, Lighter 15% (fifth row, second option from the left).
Embossed text(Basic)To reproduce the shape effects on this slide, do the following:On the Home tab, in the Drawing group, click Shapes, and then under Rectangles, click Rectangle (first option from the left). On the slide, drag to draw a rectangle.Select the rectangle. On the Home tab, in the Drawing group, click the arrow next toShape Fill, and then under Theme Colorsclick Blue, Accent 1, Darker 25% (fifth row, fifth option from the left).On the Home tab, in the Drawing group, click the arrow next toShape Outline, and then click No Outline.On the Home tab, in the Drawing group, click Shape Effects, point to Bevel, and then under Bevel click Cool Slant (first row, fourth option from the left).On the Home tab, in the Drawing group, click Shapes, and then under Rectangles, click Rectangle (first option from the left). On the slide, drag to draw another rectangle, slightly larger than the first rectangle. Select the second rectangle. On the Home tab, in the Drawing group, click the arrow next toShape Fill, and then click No Fill.On the Home tab, in the Drawing group, click the arrow next toShape Outline, and then click Blue, Accent 1, Lighter 40% (fourth row, fifth option from the left).On the Home tab, in the Drawing group, click the arrow next toShape Outline, point to Dashes, and then click More Lines.In the Format Shape dialog box, click Line Style in the left pane, and then do the following in the Line Style pane:In the Width box, enter 1.25 pt.Click the button next to Dash type, and then click Square Dot (third option from the top). To reproduce the text effects on this slide, do the following:On the Home tab, in theSlides group, click Layout, and then click Blank.On the Insert tab, in the Text group, click Text Box, and then on the slide, drag to draw the text box.Enter text in the text box, select the text, and then on the Home tab, in the Font group, select Copperplate Gothic Boldfrom the Font list, and then select 48 from the Font Size list.On the Home tab, in the Paragraph group, click Center to center the text in the text box.Select the text. Under Drawing Tools, on the Format tab, in the WordArt Styles group, click the arrow next to Text Fill, and then under Theme Colors click Blue, Accent 1, Darker 25% (fifth row, fifth option from the left). Under Drawing Tools, on the Format tab, in the bottom right corner of the WordArt Styles group, click the Format Text Effects dialog box launcher. In the Format Text Effects dialog box, click 3-D Format in the left pane, and then do the following under Bevel in the 3-D Format pane: Click the button next to Top, and then under Bevel click Circle (first row, first option from the left). Next to Top, in the Width box, enter 2 pt. Next to Top, in the Height box,enter2 pt. To reproduce the background on this slide, do the following:Right-click the slide background area, and then clickFormat Background.In the Format Background dialog box, click Fill in the left pane, select Gradient fill in the Fill pane, and then do the following:In the Type list, select Radial.Click the button next to Direction, and then clickFrom Center (third option from the left).Under Gradient stops, click Add or Remove until two stops appear in the drop-down list.Also under Gradient stops, customize the gradient stops that you added as follows:Select Stop 1 from the list, and then do the following:In the Stop position box, enter0%.Click the button next to Color, click More Colors, and then in the Colors dialog box, on the Custom tab, enter values for Red: 65, Green: 68, Blue: 97.Select Stop 2 from the list, and then do the following:In the Stop position box, enter99%.Click the button next to Color, and then under Theme Colorsclick Black, Text 1, Lighter 15% (fifth row, second option from the left).
Embossed text(Basic)To reproduce the shape effects on this slide, do the following:On the Home tab, in the Drawing group, click Shapes, and then under Rectangles, click Rectangle (first option from the left). On the slide, drag to draw a rectangle.Select the rectangle. On the Home tab, in the Drawing group, click the arrow next toShape Fill, and then under Theme Colorsclick Blue, Accent 1, Darker 25% (fifth row, fifth option from the left).On the Home tab, in the Drawing group, click the arrow next toShape Outline, and then click No Outline.On the Home tab, in the Drawing group, click Shape Effects, point to Bevel, and then under Bevel click Cool Slant (first row, fourth option from the left).On the Home tab, in the Drawing group, click Shapes, and then under Rectangles, click Rectangle (first option from the left). On the slide, drag to draw another rectangle, slightly larger than the first rectangle. Select the second rectangle. On the Home tab, in the Drawing group, click the arrow next toShape Fill, and then click No Fill.On the Home tab, in the Drawing group, click the arrow next toShape Outline, and then click Blue, Accent 1, Lighter 40% (fourth row, fifth option from the left).On the Home tab, in the Drawing group, click the arrow next toShape Outline, point to Dashes, and then click More Lines.In the Format Shape dialog box, click Line Style in the left pane, and then do the following in the Line Style pane:In the Width box, enter 1.25 pt.Click the button next to Dash type, and then click Square Dot (third option from the top). To reproduce the text effects on this slide, do the following:On the Home tab, in theSlides group, click Layout, and then click Blank.On the Insert tab, in the Text group, click Text Box, and then on the slide, drag to draw the text box.Enter text in the text box, select the text, and then on the Home tab, in the Font group, select Copperplate Gothic Boldfrom the Font list, and then select 48 from the Font Size list.On the Home tab, in the Paragraph group, click Center to center the text in the text box.Select the text. Under Drawing Tools, on the Format tab, in the WordArt Styles group, click the arrow next to Text Fill, and then under Theme Colors click Blue, Accent 1, Darker 25% (fifth row, fifth option from the left). Under Drawing Tools, on the Format tab, in the bottom right corner of the WordArt Styles group, click the Format Text Effects dialog box launcher. In the Format Text Effects dialog box, click 3-D Format in the left pane, and then do the following under Bevel in the 3-D Format pane: Click the button next to Top, and then under Bevel click Circle (first row, first option from the left). Next to Top, in the Width box, enter 2 pt. Next to Top, in the Height box,enter2 pt. To reproduce the background on this slide, do the following:Right-click the slide background area, and then clickFormat Background.In the Format Background dialog box, click Fill in the left pane, select Gradient fill in the Fill pane, and then do the following:In the Type list, select Radial.Click the button next to Direction, and then clickFrom Center (third option from the left).Under Gradient stops, click Add or Remove until two stops appear in the drop-down list.Also under Gradient stops, customize the gradient stops that you added as follows:Select Stop 1 from the list, and then do the following:In the Stop position box, enter0%.Click the button next to Color, click More Colors, and then in the Colors dialog box, on the Custom tab, enter values for Red: 65, Green: 68, Blue: 97.Select Stop 2 from the list, and then do the following:In the Stop position box, enter99%.Click the button next to Color, and then under Theme Colorsclick Black, Text 1, Lighter 15% (fifth row, second option from the left).
Embossed text(Basic)To reproduce the shape effects on this slide, do the following:On the Home tab, in the Drawing group, click Shapes, and then under Rectangles, click Rectangle (first option from the left). On the slide, drag to draw a rectangle.Select the rectangle. On the Home tab, in the Drawing group, click the arrow next toShape Fill, and then under Theme Colorsclick Blue, Accent 1, Darker 25% (fifth row, fifth option from the left).On the Home tab, in the Drawing group, click the arrow next toShape Outline, and then click No Outline.On the Home tab, in the Drawing group, click Shape Effects, point to Bevel, and then under Bevel click Cool Slant (first row, fourth option from the left).On the Home tab, in the Drawing group, click Shapes, and then under Rectangles, click Rectangle (first option from the left). On the slide, drag to draw another rectangle, slightly larger than the first rectangle. Select the second rectangle. On the Home tab, in the Drawing group, click the arrow next toShape Fill, and then click No Fill.On the Home tab, in the Drawing group, click the arrow next toShape Outline, and then click Blue, Accent 1, Lighter 40% (fourth row, fifth option from the left).On the Home tab, in the Drawing group, click the arrow next toShape Outline, point to Dashes, and then click More Lines.In the Format Shape dialog box, click Line Style in the left pane, and then do the following in the Line Style pane:In the Width box, enter 1.25 pt.Click the button next to Dash type, and then click Square Dot (third option from the top). To reproduce the text effects on this slide, do the following:On the Home tab, in theSlides group, click Layout, and then click Blank.On the Insert tab, in the Text group, click Text Box, and then on the slide, drag to draw the text box.Enter text in the text box, select the text, and then on the Home tab, in the Font group, select Copperplate Gothic Boldfrom the Font list, and then select 48 from the Font Size list.On the Home tab, in the Paragraph group, click Center to center the text in the text box.Select the text. Under Drawing Tools, on the Format tab, in the WordArt Styles group, click the arrow next to Text Fill, and then under Theme Colors click Blue, Accent 1, Darker 25% (fifth row, fifth option from the left). Under Drawing Tools, on the Format tab, in the bottom right corner of the WordArt Styles group, click the Format Text Effects dialog box launcher. In the Format Text Effects dialog box, click 3-D Format in the left pane, and then do the following under Bevel in the 3-D Format pane: Click the button next to Top, and then under Bevel click Circle (first row, first option from the left). Next to Top, in the Width box, enter 2 pt. Next to Top, in the Height box,enter2 pt. To reproduce the background on this slide, do the following:Right-click the slide background area, and then clickFormat Background.In the Format Background dialog box, click Fill in the left pane, select Gradient fill in the Fill pane, and then do the following:In the Type list, select Radial.Click the button next to Direction, and then clickFrom Center (third option from the left).Under Gradient stops, click Add or Remove until two stops appear in the drop-down list.Also under Gradient stops, customize the gradient stops that you added as follows:Select Stop 1 from the list, and then do the following:In the Stop position box, enter0%.Click the button next to Color, click More Colors, and then in the Colors dialog box, on the Custom tab, enter values for Red: 65, Green: 68, Blue: 97.Select Stop 2 from the list, and then do the following:In the Stop position box, enter99%.Click the button next to Color, and then under Theme Colorsclick Black, Text 1, Lighter 15% (fifth row, second option from the left).
Embossed text(Basic)To reproduce the shape effects on this slide, do the following:On the Home tab, in the Drawing group, click Shapes, and then under Rectangles, click Rectangle (first option from the left). On the slide, drag to draw a rectangle.Select the rectangle. On the Home tab, in the Drawing group, click the arrow next toShape Fill, and then under Theme Colorsclick Blue, Accent 1, Darker 25% (fifth row, fifth option from the left).On the Home tab, in the Drawing group, click the arrow next toShape Outline, and then click No Outline.On the Home tab, in the Drawing group, click Shape Effects, point to Bevel, and then under Bevel click Cool Slant (first row, fourth option from the left).On the Home tab, in the Drawing group, click Shapes, and then under Rectangles, click Rectangle (first option from the left). On the slide, drag to draw another rectangle, slightly larger than the first rectangle. Select the second rectangle. On the Home tab, in the Drawing group, click the arrow next toShape Fill, and then click No Fill.On the Home tab, in the Drawing group, click the arrow next toShape Outline, and then click Blue, Accent 1, Lighter 40% (fourth row, fifth option from the left).On the Home tab, in the Drawing group, click the arrow next toShape Outline, point to Dashes, and then click More Lines.In the Format Shape dialog box, click Line Style in the left pane, and then do the following in the Line Style pane:In the Width box, enter 1.25 pt.Click the button next to Dash type, and then click Square Dot (third option from the top). To reproduce the text effects on this slide, do the following:On the Home tab, in theSlides group, click Layout, and then click Blank.On the Insert tab, in the Text group, click Text Box, and then on the slide, drag to draw the text box.Enter text in the text box, select the text, and then on the Home tab, in the Font group, select Copperplate Gothic Boldfrom the Font list, and then select 48 from the Font Size list.On the Home tab, in the Paragraph group, click Center to center the text in the text box.Select the text. Under Drawing Tools, on the Format tab, in the WordArt Styles group, click the arrow next to Text Fill, and then under Theme Colors click Blue, Accent 1, Darker 25% (fifth row, fifth option from the left). Under Drawing Tools, on the Format tab, in the bottom right corner of the WordArt Styles group, click the Format Text Effects dialog box launcher. In the Format Text Effects dialog box, click 3-D Format in the left pane, and then do the following under Bevel in the 3-D Format pane: Click the button next to Top, and then under Bevel click Circle (first row, first option from the left). Next to Top, in the Width box, enter 2 pt. Next to Top, in the Height box,enter2 pt. To reproduce the background on this slide, do the following:Right-click the slide background area, and then clickFormat Background.In the Format Background dialog box, click Fill in the left pane, select Gradient fill in the Fill pane, and then do the following:In the Type list, select Radial.Click the button next to Direction, and then clickFrom Center (third option from the left).Under Gradient stops, click Add or Remove until two stops appear in the drop-down list.Also under Gradient stops, customize the gradient stops that you added as follows:Select Stop 1 from the list, and then do the following:In the Stop position box, enter0%.Click the button next to Color, click More Colors, and then in the Colors dialog box, on the Custom tab, enter values for Red: 65, Green: 68, Blue: 97.Select Stop 2 from the list, and then do the following:In the Stop position box, enter99%.Click the button next to Color, and then under Theme Colorsclick Black, Text 1, Lighter 15% (fifth row, second option from the left).
Embossed text(Basic)To reproduce the shape effects on this slide, do the following:On the Home tab, in the Drawing group, click Shapes, and then under Rectangles, click Rectangle (first option from the left). On the slide, drag to draw a rectangle.Select the rectangle. On the Home tab, in the Drawing group, click the arrow next toShape Fill, and then under Theme Colorsclick Blue, Accent 1, Darker 25% (fifth row, fifth option from the left).On the Home tab, in the Drawing group, click the arrow next toShape Outline, and then click No Outline.On the Home tab, in the Drawing group, click Shape Effects, point to Bevel, and then under Bevel click Cool Slant (first row, fourth option from the left).On the Home tab, in the Drawing group, click Shapes, and then under Rectangles, click Rectangle (first option from the left). On the slide, drag to draw another rectangle, slightly larger than the first rectangle. Select the second rectangle. On the Home tab, in the Drawing group, click the arrow next toShape Fill, and then click No Fill.On the Home tab, in the Drawing group, click the arrow next toShape Outline, and then click Blue, Accent 1, Lighter 40% (fourth row, fifth option from the left).On the Home tab, in the Drawing group, click the arrow next toShape Outline, point to Dashes, and then click More Lines.In the Format Shape dialog box, click Line Style in the left pane, and then do the following in the Line Style pane:In the Width box, enter 1.25 pt.Click the button next to Dash type, and then click Square Dot (third option from the top). To reproduce the text effects on this slide, do the following:On the Home tab, in theSlides group, click Layout, and then click Blank.On the Insert tab, in the Text group, click Text Box, and then on the slide, drag to draw the text box.Enter text in the text box, select the text, and then on the Home tab, in the Font group, select Copperplate Gothic Boldfrom the Font list, and then select 48 from the Font Size list.On the Home tab, in the Paragraph group, click Center to center the text in the text box.Select the text. Under Drawing Tools, on the Format tab, in the WordArt Styles group, click the arrow next to Text Fill, and then under Theme Colors click Blue, Accent 1, Darker 25% (fifth row, fifth option from the left). Under Drawing Tools, on the Format tab, in the bottom right corner of the WordArt Styles group, click the Format Text Effects dialog box launcher. In the Format Text Effects dialog box, click 3-D Format in the left pane, and then do the following under Bevel in the 3-D Format pane: Click the button next to Top, and then under Bevel click Circle (first row, first option from the left). Next to Top, in the Width box, enter 2 pt. Next to Top, in the Height box,enter2 pt. To reproduce the background on this slide, do the following:Right-click the slide background area, and then clickFormat Background.In the Format Background dialog box, click Fill in the left pane, select Gradient fill in the Fill pane, and then do the following:In the Type list, select Radial.Click the button next to Direction, and then clickFrom Center (third option from the left).Under Gradient stops, click Add or Remove until two stops appear in the drop-down list.Also under Gradient stops, customize the gradient stops that you added as follows:Select Stop 1 from the list, and then do the following:In the Stop position box, enter0%.Click the button next to Color, click More Colors, and then in the Colors dialog box, on the Custom tab, enter values for Red: 65, Green: 68, Blue: 97.Select Stop 2 from the list, and then do the following:In the Stop position box, enter99%.Click the button next to Color, and then under Theme Colorsclick Black, Text 1, Lighter 15% (fifth row, second option from the left).
Embossed text(Basic)To reproduce the shape effects on this slide, do the following:On the Home tab, in the Drawing group, click Shapes, and then under Rectangles, click Rectangle (first option from the left). On the slide, drag to draw a rectangle.Select the rectangle. On the Home tab, in the Drawing group, click the arrow next toShape Fill, and then under Theme Colorsclick Blue, Accent 1, Darker 25% (fifth row, fifth option from the left).On the Home tab, in the Drawing group, click the arrow next toShape Outline, and then click No Outline.On the Home tab, in the Drawing group, click Shape Effects, point to Bevel, and then under Bevel click Cool Slant (first row, fourth option from the left).On the Home tab, in the Drawing group, click Shapes, and then under Rectangles, click Rectangle (first option from the left). On the slide, drag to draw another rectangle, slightly larger than the first rectangle. Select the second rectangle. On the Home tab, in the Drawing group, click the arrow next toShape Fill, and then click No Fill.On the Home tab, in the Drawing group, click the arrow next toShape Outline, and then click Blue, Accent 1, Lighter 40% (fourth row, fifth option from the left).On the Home tab, in the Drawing group, click the arrow next toShape Outline, point to Dashes, and then click More Lines.In the Format Shape dialog box, click Line Style in the left pane, and then do the following in the Line Style pane:In the Width box, enter 1.25 pt.Click the button next to Dash type, and then click Square Dot (third option from the top). To reproduce the text effects on this slide, do the following:On the Home tab, in theSlides group, click Layout, and then click Blank.On the Insert tab, in the Text group, click Text Box, and then on the slide, drag to draw the text box.Enter text in the text box, select the text, and then on the Home tab, in the Font group, select Copperplate Gothic Boldfrom the Font list, and then select 48 from the Font Size list.On the Home tab, in the Paragraph group, click Center to center the text in the text box.Select the text. Under Drawing Tools, on the Format tab, in the WordArt Styles group, click the arrow next to Text Fill, and then under Theme Colors click Blue, Accent 1, Darker 25% (fifth row, fifth option from the left). Under Drawing Tools, on the Format tab, in the bottom right corner of the WordArt Styles group, click the Format Text Effects dialog box launcher. In the Format Text Effects dialog box, click 3-D Format in the left pane, and then do the following under Bevel in the 3-D Format pane: Click the button next to Top, and then under Bevel click Circle (first row, first option from the left). Next to Top, in the Width box, enter 2 pt. Next to Top, in the Height box,enter2 pt. To reproduce the background on this slide, do the following:Right-click the slide background area, and then clickFormat Background.In the Format Background dialog box, click Fill in the left pane, select Gradient fill in the Fill pane, and then do the following:In the Type list, select Radial.Click the button next to Direction, and then clickFrom Center (third option from the left).Under Gradient stops, click Add or Remove until two stops appear in the drop-down list.Also under Gradient stops, customize the gradient stops that you added as follows:Select Stop 1 from the list, and then do the following:In the Stop position box, enter0%.Click the button next to Color, click More Colors, and then in the Colors dialog box, on the Custom tab, enter values for Red: 65, Green: 68, Blue: 97.Select Stop 2 from the list, and then do the following:In the Stop position box, enter99%.Click the button next to Color, and then under Theme Colorsclick Black, Text 1, Lighter 15% (fifth row, second option from the left).