Module 2 lesson 6
•
1 like•988 views
This document contains notes from a math lesson on finding the distance between two rational numbers. It discusses using a number line to determine distance and introduces the concept of using absolute value. Examples are provided of calculating the absolute value of differences between various number pairs. The document ends with discussion questions about using a number line and absolute value to find distances, whether distance is always positive, and whether change is always positive.
Report
Share
Report
Share
Download to read offline
Recommended
8th alg -l6.1
This document contains notes from a math lesson on solving systems of linear equations and inequalities. It includes examples of solving compound inequalities and graphing systems of equations. Key points covered are: systems can have one solution, infinite solutions, or no solutions; if they have one solution they are consistent and independent; if they have infinite solutions they are dependent; if they have no solution they are inconsistent. The lesson concludes with examples of graphing different systems of equations and determining the number of solutions.
Algebra presentation on topic modulus function and polynomials
This document appears to be a student presentation on algebra topics including modulus and polynomials. It introduces two people, Adrian and Fadhil, who worked on different sections. Adrian focused on the "decoration" section and has a lower IQ than Fadhil. Fadhil declares he finished his part and Adrian is responsible for the rest. The presentation then covers sample modulus and polynomial questions, working through solutions. It includes some non-math related slides and references to famous people like Albert Einstein.
Tugas Perbaikan Nilai Matematika Kuis 2
1. The document is a math worksheet containing 5 calculus problems involving derivatives.
2. For each problem, the student set up the derivative using implicit differentiation and obtained the derivative expression.
3. The student provided the work and solutions for taking the derivatives of 5 functions: y = e(3x^2+7x), y = esin8x, y = (e^-6x - e^7x)^4, y = ln(6x^2 - 5), and y = 6(7x^2 + 9).
Natural Calculation Tips
This document provides a method for improving mental math skills by calculating from left to right rather than the traditional right to left approach. It identifies three reasons for difficulties with mental math - conditioning to use calculators, inefficient calculation techniques taught in school, and issues with memory. The method taught involves calculating each digit of a problem from left to right, storing interim results "on the flag" of the mind to build up the final answer in an easy step-by-step process. Examples are provided to demonstrate multiplying, adding, and writing out calculations from left to right. Regular practice of similar calculations is recommended to make the techniques feel natural.
(7) Lesson 6.7
This document provides examples of solving inequalities by multiplying or dividing each side by positive and negative numbers.
It begins with 6 examples of solving inequalities such as x > 18, g ≤ -23, and t ≤ 19. Then it discusses the properties of inequalities when multiplying or dividing each side by positive and negative numbers. Specifically, it states that the inequality sign remains the same when multiplying by a positive number but must be reversed when multiplying by a negative number.
Finally, it provides step-by-step examples of solving inequalities by multiplying and dividing each side by positive and negative numbers. This includes writing the inequality, simplifying by multiplying or dividing, and determining the solution set.
10th grade s2 p3 exam review study guide
This study guide reviews material for a 10th grade exam, including trigonometric functions for 30°, 45°, and 60° angles, rational expressions, exponents, binomial expansion, graphing linear equations, systems of two equations, and basic trigonometry definitions. The guide provides example problems and notifies students that answers will be posted soon to help review concepts from the previous period exam.
distributive property
This document discusses using the distributive property to break down multiplication problems into simpler parts. It provides examples of breaking numbers like 5 and 8 into addends to distribute the multiplier, like breaking 5 into 3 and 2 or 8 into 2 and 6. Students are guided to apply this skill to example problems, recognizing that if a number is broken into addends, the full number must be distributed to both addends.
Algebra worked solutions
1. The document provides worked solutions for basic single-step algebra equations, showing the step-by-step work to isolate the variable.
2. Examples include solving equations such as 2x = 6 and x + 6 = 9, arriving at the solution x = 3 in both cases.
3. A more complex example solves the equation 2x + 4 = 8 by getting rid of elements on the side of the x until it is isolated, resulting in the solution x = 2.
Recommended
8th alg -l6.1
This document contains notes from a math lesson on solving systems of linear equations and inequalities. It includes examples of solving compound inequalities and graphing systems of equations. Key points covered are: systems can have one solution, infinite solutions, or no solutions; if they have one solution they are consistent and independent; if they have infinite solutions they are dependent; if they have no solution they are inconsistent. The lesson concludes with examples of graphing different systems of equations and determining the number of solutions.
Algebra presentation on topic modulus function and polynomials
This document appears to be a student presentation on algebra topics including modulus and polynomials. It introduces two people, Adrian and Fadhil, who worked on different sections. Adrian focused on the "decoration" section and has a lower IQ than Fadhil. Fadhil declares he finished his part and Adrian is responsible for the rest. The presentation then covers sample modulus and polynomial questions, working through solutions. It includes some non-math related slides and references to famous people like Albert Einstein.
Tugas Perbaikan Nilai Matematika Kuis 2
1. The document is a math worksheet containing 5 calculus problems involving derivatives.
2. For each problem, the student set up the derivative using implicit differentiation and obtained the derivative expression.
3. The student provided the work and solutions for taking the derivatives of 5 functions: y = e(3x^2+7x), y = esin8x, y = (e^-6x - e^7x)^4, y = ln(6x^2 - 5), and y = 6(7x^2 + 9).
Natural Calculation Tips
This document provides a method for improving mental math skills by calculating from left to right rather than the traditional right to left approach. It identifies three reasons for difficulties with mental math - conditioning to use calculators, inefficient calculation techniques taught in school, and issues with memory. The method taught involves calculating each digit of a problem from left to right, storing interim results "on the flag" of the mind to build up the final answer in an easy step-by-step process. Examples are provided to demonstrate multiplying, adding, and writing out calculations from left to right. Regular practice of similar calculations is recommended to make the techniques feel natural.
(7) Lesson 6.7
This document provides examples of solving inequalities by multiplying or dividing each side by positive and negative numbers.
It begins with 6 examples of solving inequalities such as x > 18, g ≤ -23, and t ≤ 19. Then it discusses the properties of inequalities when multiplying or dividing each side by positive and negative numbers. Specifically, it states that the inequality sign remains the same when multiplying by a positive number but must be reversed when multiplying by a negative number.
Finally, it provides step-by-step examples of solving inequalities by multiplying and dividing each side by positive and negative numbers. This includes writing the inequality, simplifying by multiplying or dividing, and determining the solution set.
10th grade s2 p3 exam review study guide
This study guide reviews material for a 10th grade exam, including trigonometric functions for 30°, 45°, and 60° angles, rational expressions, exponents, binomial expansion, graphing linear equations, systems of two equations, and basic trigonometry definitions. The guide provides example problems and notifies students that answers will be posted soon to help review concepts from the previous period exam.
distributive property
This document discusses using the distributive property to break down multiplication problems into simpler parts. It provides examples of breaking numbers like 5 and 8 into addends to distribute the multiplier, like breaking 5 into 3 and 2 or 8 into 2 and 6. Students are guided to apply this skill to example problems, recognizing that if a number is broken into addends, the full number must be distributed to both addends.
Algebra worked solutions
1. The document provides worked solutions for basic single-step algebra equations, showing the step-by-step work to isolate the variable.
2. Examples include solving equations such as 2x = 6 and x + 6 = 9, arriving at the solution x = 3 in both cases.
3. A more complex example solves the equation 2x + 4 = 8 by getting rid of elements on the side of the x until it is isolated, resulting in the solution x = 2.
Games in Maths
Games in Mathematics discusses how games can be used to develop mathematical thinking in several ways. Games can increase opportunities for developing mental strategies and number sense. They can also help develop spatial visualization, as shown through a Sudoku example. Games are useful for helping students look for patterns and make generalizations, as demonstrated by a game where students remove paper clips. Traditional games from Southeast Asia could also potentially develop mathematical thinking. In conclusion, games are discussed as a tool to develop number sense, spatial skills, and pattern recognition.
Division repeated subtraction
The document subtracts 6s from 48, 7s from 42, and 9s from 63 to determine how many of each digit exists in the factorials. It finds that there are 8 sixes in 48!, 6 sevens in 42!, and 7 nines in 63! by repeatedly subtracting the digits and tracking the results.
Af 1.1 missing number week 6
Scholars are learning to find missing numbers in number sentences. It is important that both sides of an equation have the same total. To find the missing number, they count the numbers on both sides and make them equal by adding the missing number. The teacher demonstrates examples like 1 + ? = 2 + 3 + 3, and has students practice. Students should be careful not to get tricked, and remember both sides must have the same total.
Mathematics Puzzles
A mathematical puzzle is related to mathematical facts and objects, or whose solution needs serious mathematical arguments or calculations. A mathematical puzzle is related to mathematical facts and objects, or whose solution needs serious mathematical arguments or calculations.
Maths w.b. 18.05.20
This document provides a series of math questions and problems for students to work through over the course of a week. It includes 15 mixed calculation questions per day involving multiplication, division, addition, subtraction, and reasoning questions. Later in the week, students work on problems involving squares, cubes, rounding, word problems, and a challenge using a pizza menu. The document is intended to help students practice important math skills and keep calculation methods fresh in their minds.
Math slide show
The document teaches the 12 multiplication and 6 division facts for the number 12 by listing each fact and its answer, with the multiplication facts going up to 12 x 12 = 144 and the division facts including 12 / 1 = 12 down to 12 / 6 = 2. It was presented as a math quiz by Payton and Skye to teach these basic number facts.
Math works
This math worksheet contains 4 word problems asking for the percentage that decimal fractions represent, with the answers provided. It also contains one arithmetic problem asking for the solution to -12 - (-13), without showing the work or answer.
Topic 1 algebra lesson 1
This document provides an introduction to Lesson 1 on algebraic patterns and preliminary general mathematics. It outlines the topics that will be covered, including working with textbooks, workbooks, technology tools, and calculators. It also presents a sample word problem on determining the number of slabs needed for different numbers of flowerbeds and developing a formula to solve for any given number of flowerbeds. Students are instructed to work through sample problems in groups, show their work, and look for patterns to develop a formula to solve similar problems.
Division
Division involves grouping objects into equal parts. The document explains division using examples such as sharing 6 cookies between 2 mice and sharing 8 cupcakes between 3 plates. It discusses key division terms like dividend, divisor, and quotient. Readers are prompted to work through sample division word problems and write the corresponding mathematical statements.
7th math c2 -l72
This document contains notes from a math lesson. It lists assignments that are due, including an even set for the next day. It also lists warm up problems dealing with scientific notation, geometry, ratios, averages, and prime factorizations. The lesson discusses using ratio boxes to solve problems even when they do not explicitly mention ratios. Examples are provided from page 509 of solving problems using implied ratios.
Alaina and jared
This math workbook for children contains patterns and number sentences for students to complete. The workbook instructs students to finish patterns shown in boxes and write number sentences, showing the equations with pictures of pumpkins. Some examples given are number sentences like 2 + 3 = 5, 1 + 2 = 3, and 2 + 10 = 12, which students are meant to solve and represent visually.
5) algebraic investigation
This document outlines an algebraic investigation of real-life sequences that students will complete. It includes examples of matching stick patterns, tables that can seat people, handshakes between people, hidden faces of cubes, and strands in hexagonal cable formations. The objective is for students to discover the nth term of sequences by analyzing patterns in examples with 2-5 terms provided. Some students may then perform their own investigations of additional sequences.
Division
Division involves grouping quantities into equal sets. Examples shown include dividing 12 balls equally into boxes, with 3 balls in each box, dividing 18 faces into groups of 3, with 6 groups, and dividing 9 oranges equally into 3 bags, with 3 oranges in each bag. The document introduces division and solving one-step word problems using division to determine how quantities are divided equally among groups.
Puzzleofsixdinesh Vora
The document presents a puzzle where the goal is to fill in mathematical operators to equate numbers to 6. It provides examples like 2 2 2 = 6 + + and asks the reader to solve puzzles with three of the same numbers like 3 3 3 = 6. It then provides the solutions and explanations for several examples, acknowledging that some like 1 1 1 = 6 are more difficult. It congratulates the reader at the end for completing the puzzle.
Good at maths lets see
This lesson aims to solve math problems by applying concepts learned in school. The instructor provides examples of equations with 3 digits and signs to make the equations equal the results. Students are asked to solve various equations on their own. The instructor checks their work and provides hints or the solutions when needed. They conclude by acknowledging more challenges with basic math concepts and promise the next lesson will be on walking while chewing gum.
R u smarter than a 5th grader
This lesson teaches solving math problems by applying concepts learned in school. The instructor provides examples of equations with three digits and signs to make the equations equal the results. Students are asked to solve various equations on their own. The instructor checks their work and provides hints or the solutions when needed. They conclude by acknowledging more challenging problems and suggesting the next lesson will focus on walking while chewing gum.
Junior school math quiz final
The document outlines the format and questions for a math quiz with two levels and several rounds. It will include identifying shapes and patterns, solving math problems, and trick questions. Level 1 has two rounds focused on numbers, with 6 questions in each round worth 1 minute each. Level 2 has two visual rounds with 5 questions worth either 1 or 2 minutes each. The rounds continue with more challenging math problems using numbers, shapes, puzzles, and rapid fire questions.
Chapter Two Math Review
1. This document contains a math review worksheet with multiple choice, word, and math problems.
2. Students are directed to show their work for every problem and solve problems involving addition, subtraction, place value, rounding, comparing numbers, and word problems.
3. There are 33 total math problems covering different math concepts reviewed in Chapter 2.
Qwizdom year 7 maths - number work
This math worksheet contains addition, subtraction, multiplication, and pattern recognition problems for students in Year 7. It includes single-digit addition and subtraction problems, multiplication problems with one or two-digit factors, and pattern recognition sequences involving counting up or down by 1, 2, 3, or 5. Solving these problems helps students practice basic math skills.
Module 4 lesson 16
The document outlines a classroom lesson on population problems. It lists the do now activity and homework assignments which were an exit ticket for the previous lesson and problems 3 and 6 from problem set 16. The majority of the document provides solutions to the homework assignments.
Module 1 lesson 9
This document contains notes from a math lesson on proportional relationships and equations. It includes examples of proportional word problems about gallons of gas used and miles driven, building birdhouses, and produce stands. It also has exercises on solving equations, determining constants of proportionality, identifying dependent and independent variables, and writing equations in the form y=kx to model proportional relationships. A quiz on this content is scheduled for September 23rd.
Module 3 lesson 24
The document is notes from a math lesson on calculating the volume of right prisms. It includes the lesson objectives, homework assignments, example problems and solutions, and discussion questions. The lesson covers using length, width, and height to determine the three-dimensional volume of liquids in contained shapes like prisms.
More Related Content
What's hot
Games in Maths
Games in Mathematics discusses how games can be used to develop mathematical thinking in several ways. Games can increase opportunities for developing mental strategies and number sense. They can also help develop spatial visualization, as shown through a Sudoku example. Games are useful for helping students look for patterns and make generalizations, as demonstrated by a game where students remove paper clips. Traditional games from Southeast Asia could also potentially develop mathematical thinking. In conclusion, games are discussed as a tool to develop number sense, spatial skills, and pattern recognition.
Division repeated subtraction
The document subtracts 6s from 48, 7s from 42, and 9s from 63 to determine how many of each digit exists in the factorials. It finds that there are 8 sixes in 48!, 6 sevens in 42!, and 7 nines in 63! by repeatedly subtracting the digits and tracking the results.
Af 1.1 missing number week 6
Scholars are learning to find missing numbers in number sentences. It is important that both sides of an equation have the same total. To find the missing number, they count the numbers on both sides and make them equal by adding the missing number. The teacher demonstrates examples like 1 + ? = 2 + 3 + 3, and has students practice. Students should be careful not to get tricked, and remember both sides must have the same total.
Mathematics Puzzles
A mathematical puzzle is related to mathematical facts and objects, or whose solution needs serious mathematical arguments or calculations. A mathematical puzzle is related to mathematical facts and objects, or whose solution needs serious mathematical arguments or calculations.
Maths w.b. 18.05.20
This document provides a series of math questions and problems for students to work through over the course of a week. It includes 15 mixed calculation questions per day involving multiplication, division, addition, subtraction, and reasoning questions. Later in the week, students work on problems involving squares, cubes, rounding, word problems, and a challenge using a pizza menu. The document is intended to help students practice important math skills and keep calculation methods fresh in their minds.
Math slide show
The document teaches the 12 multiplication and 6 division facts for the number 12 by listing each fact and its answer, with the multiplication facts going up to 12 x 12 = 144 and the division facts including 12 / 1 = 12 down to 12 / 6 = 2. It was presented as a math quiz by Payton and Skye to teach these basic number facts.
Math works
This math worksheet contains 4 word problems asking for the percentage that decimal fractions represent, with the answers provided. It also contains one arithmetic problem asking for the solution to -12 - (-13), without showing the work or answer.
Topic 1 algebra lesson 1
This document provides an introduction to Lesson 1 on algebraic patterns and preliminary general mathematics. It outlines the topics that will be covered, including working with textbooks, workbooks, technology tools, and calculators. It also presents a sample word problem on determining the number of slabs needed for different numbers of flowerbeds and developing a formula to solve for any given number of flowerbeds. Students are instructed to work through sample problems in groups, show their work, and look for patterns to develop a formula to solve similar problems.
Division
Division involves grouping objects into equal parts. The document explains division using examples such as sharing 6 cookies between 2 mice and sharing 8 cupcakes between 3 plates. It discusses key division terms like dividend, divisor, and quotient. Readers are prompted to work through sample division word problems and write the corresponding mathematical statements.
7th math c2 -l72
This document contains notes from a math lesson. It lists assignments that are due, including an even set for the next day. It also lists warm up problems dealing with scientific notation, geometry, ratios, averages, and prime factorizations. The lesson discusses using ratio boxes to solve problems even when they do not explicitly mention ratios. Examples are provided from page 509 of solving problems using implied ratios.
Alaina and jared
This math workbook for children contains patterns and number sentences for students to complete. The workbook instructs students to finish patterns shown in boxes and write number sentences, showing the equations with pictures of pumpkins. Some examples given are number sentences like 2 + 3 = 5, 1 + 2 = 3, and 2 + 10 = 12, which students are meant to solve and represent visually.
5) algebraic investigation
This document outlines an algebraic investigation of real-life sequences that students will complete. It includes examples of matching stick patterns, tables that can seat people, handshakes between people, hidden faces of cubes, and strands in hexagonal cable formations. The objective is for students to discover the nth term of sequences by analyzing patterns in examples with 2-5 terms provided. Some students may then perform their own investigations of additional sequences.
Division
Division involves grouping quantities into equal sets. Examples shown include dividing 12 balls equally into boxes, with 3 balls in each box, dividing 18 faces into groups of 3, with 6 groups, and dividing 9 oranges equally into 3 bags, with 3 oranges in each bag. The document introduces division and solving one-step word problems using division to determine how quantities are divided equally among groups.
Puzzleofsixdinesh Vora
The document presents a puzzle where the goal is to fill in mathematical operators to equate numbers to 6. It provides examples like 2 2 2 = 6 + + and asks the reader to solve puzzles with three of the same numbers like 3 3 3 = 6. It then provides the solutions and explanations for several examples, acknowledging that some like 1 1 1 = 6 are more difficult. It congratulates the reader at the end for completing the puzzle.
Good at maths lets see
This lesson aims to solve math problems by applying concepts learned in school. The instructor provides examples of equations with 3 digits and signs to make the equations equal the results. Students are asked to solve various equations on their own. The instructor checks their work and provides hints or the solutions when needed. They conclude by acknowledging more challenges with basic math concepts and promise the next lesson will be on walking while chewing gum.
R u smarter than a 5th grader
This lesson teaches solving math problems by applying concepts learned in school. The instructor provides examples of equations with three digits and signs to make the equations equal the results. Students are asked to solve various equations on their own. The instructor checks their work and provides hints or the solutions when needed. They conclude by acknowledging more challenging problems and suggesting the next lesson will focus on walking while chewing gum.
Junior school math quiz final
The document outlines the format and questions for a math quiz with two levels and several rounds. It will include identifying shapes and patterns, solving math problems, and trick questions. Level 1 has two rounds focused on numbers, with 6 questions in each round worth 1 minute each. Level 2 has two visual rounds with 5 questions worth either 1 or 2 minutes each. The rounds continue with more challenging math problems using numbers, shapes, puzzles, and rapid fire questions.
Chapter Two Math Review
1. This document contains a math review worksheet with multiple choice, word, and math problems.
2. Students are directed to show their work for every problem and solve problems involving addition, subtraction, place value, rounding, comparing numbers, and word problems.
3. There are 33 total math problems covering different math concepts reviewed in Chapter 2.
Qwizdom year 7 maths - number work
This math worksheet contains addition, subtraction, multiplication, and pattern recognition problems for students in Year 7. It includes single-digit addition and subtraction problems, multiplication problems with one or two-digit factors, and pattern recognition sequences involving counting up or down by 1, 2, 3, or 5. Solving these problems helps students practice basic math skills.
What's hot (19)
Viewers also liked
Module 4 lesson 16
The document outlines a classroom lesson on population problems. It lists the do now activity and homework assignments which were an exit ticket for the previous lesson and problems 3 and 6 from problem set 16. The majority of the document provides solutions to the homework assignments.
Module 1 lesson 9
This document contains notes from a math lesson on proportional relationships and equations. It includes examples of proportional word problems about gallons of gas used and miles driven, building birdhouses, and produce stands. It also has exercises on solving equations, determining constants of proportionality, identifying dependent and independent variables, and writing equations in the form y=kx to model proportional relationships. A quiz on this content is scheduled for September 23rd.
Module 3 lesson 24
The document is notes from a math lesson on calculating the volume of right prisms. It includes the lesson objectives, homework assignments, example problems and solutions, and discussion questions. The lesson covers using length, width, and height to determine the three-dimensional volume of liquids in contained shapes like prisms.
Module 2 lesson 7
This document contains notes from a math lesson on adding and subtracting rational numbers. It includes examples of problems involving adding and subtracting integers using a number line. It also previews a homework assignment on rational number addition and subtraction and quizzes students on exit tickets from the previous lesson. Finally, it poses closing questions about using a number line to model operations with rational numbers.
Module 3 lesson 17
This document outlines lessons from Module 3 on inequalities and solving for missing angles. The homework assigned is problem set 17 problems 2, 3, 4, and 8 with a quiz on Friday. The lesson goes through examples of solving various inequalities and finding missing angle measures by setting up and solving equations. It provides the answers to the homework problems and examples of problem set questions.
Module 3 lesson 26
The document outlines a math lesson on volume and surface area. It includes the aim of the lesson, the homework assigned which was problem set 26 #1, and solutions to homework problems involving calculating volume of prism shells of different thicknesses and how that affects internal and external volumes. The lesson closed with questions about finding the volume of prism shells and how shell thickness impacts dimensions and volumes.
Viewers also liked (6)
Similar to Module 2 lesson 6
Quiz review and start of lesson 6
The document provides notes and practice problems for a math lesson on integer operations and rational numbers. It includes:
- A homework assignment to practice integer operations on a website in preparation for an integer quiz the next day.
- Sample addition, subtraction, and rational number problems to work through for the quiz.
- Answers to integer subtraction practice problems from a previous lesson.
- A discussion question about using a number line to find the distance between two rational numbers versus using a distance formula.
Module 2 lesson 6
1. The document outlines a math lesson on rational numbers that includes: homework assignments to practice integer operations and complete a problem set on the distance between rational numbers.
2. It provides examples of subtracting integers and evaluating expressions with integer values.
3. It discusses using a number line to find the distance between two rational numbers and introduces the formula for calculating distance as the absolute value of the difference between the two numbers.
Module 2 lesson 3
The document outlines Module 2 Lesson 3 of a math class which focuses on understanding addition of integers. It includes the homework from the previous lesson, instructions for an integer game exercise, and an explanation of how to use a number line to add integers by counting up or down a distance based on the sign of the number. The lesson concludes with a closing statement.
Module 2 lesson 5
This document outlines a lesson on subtracting integers and rational numbers. It includes examples of subtracting integers using a card game where selecting cards represents addition and discarding cards represents subtraction. The key points are that subtracting a positive integer is the same as adding its opposite, and subtracting a negative integer is the same as adding its opposite. The document provides practice problems and discussion questions to help students understand integer subtraction.
Module 3 lesson 2
This document contains notes from a math lesson on generating equivalent expressions. It includes:
- The homework, do now, and aim for the lesson
- Examples of subtracting and combining expressions
- Worked out problems involving expressions and word problems
- Explanations of relevant vocabulary terms and techniques like using inverses for division
- Solutions to practice problems and exit tickets
- A closing reflection on order of operations for subtraction and division
Module 2 lesson 5
This document is from a math lesson on subtracting integers and rational numbers. It includes examples of subtracting integers using a card game where students draw and discard cards with positive and negative values. It discusses how selecting positive cards increases the total while negative cards decrease it, and discarding is the opposite. Students make predictions about subtracting positive and negative integers. They learn that subtracting a number is the same as adding its opposite, and practice problems subtracting elevations.
Module 2 lesson 22
This document contains notes from a math lesson on solving equations using algebra. It includes examples of solving equations step-by-step using the tape diagram method and algebra. Homework problems are presented involving finding original prices, perimeter of shapes, and time/distance word problems. The document ends with closing questions about properties used to solve equations and representing equations using tape diagrams.
Module 2 lesson 10
The document is notes from a math lesson on multiplying integers. It includes examples of multiplying integers with the same sign and opposite signs. The lesson notes show that multiplying integers with the same sign results in a positive product, while multiplying integers with opposite signs results in a negative product. The document also contains homework answers and problems for understanding multiplication of integers.
Integer quiz and finish lesson 6
The document outlines a math lesson on integers that includes an integer quiz, completing examples from lesson 6 on integers, and homework assignments. Students are asked to take an integer quiz, then complete example 1 on page S.34 of lesson 6, and finish the lesson. The closing questions review using number lines to find distances between numbers, defining absolute value, and applying absolute value to find distances between numbers.
Module 6 lesson 2
This document outlines a geometry lesson on solving for unknown angles using equations. It provides the aim of the lesson, homework assignments which include odd problems from Problem Set 2 and Exit Ticket #1, and notes a test on Friday. It also includes discussion points and asks how students could check their answers.
8th alg -l5.6
1) The document provides instructions and lesson material for Lesson 5-6 on linear inequalities and their graphs. It includes assigning practice problems to be completed for homework and an upcoming test.
2) The warm-up exercises involve solving compound and single variable inequalities. Lesson 5.6 defines linear inequalities and describes the steps to graph them by plotting the line and shading the correct half-plane based on testing a point.
3) Examples are given to graph various linear inequalities, labeling the axes and shading the appropriate regions.
Similar to Module 2 lesson 6 (11)
More from Erik Tjersland
Linear equations lesson 8 day 2 graphing linear equations
The document is from a pre-algebra lesson on graphing linear equations. It discusses re-arranging equations into slope-intercept form (y=mx+b) and explains the procedure for graphing a line when given an equation in this format. Specifically, it describes using the slope (m) to rise/run and the y-intercept (b) to locate the point where the line crosses the y-axis. The document provides examples and questions to reinforce understanding of graphing linear equations from their slope-intercept form.
Linear equations lesson 8 day 1 graphing linear equations
The document is notes from a pre-algebra lesson on graphing linear equations using the y=mx+b format. It includes instructions to complete problems 9 and 10 on page 48, as well as examples of graphing different linear equations by plotting points from the equation and connecting them with a line. The closing question asks students to explain the procedure for graphing a line when given an equation in y=mx+b format.
Linear equations lesson 7 slope formula
This document appears to be notes from a pre-algebra lesson on calculating slope. It includes examples of slope calculations for lines on pages 42, 43, 47, and 48. The closing question asks students to explain the procedure for finding the slope of a line.
Module 4.5 lesson 10 scale area
This document contains notes from a math lesson on solving area problems using scale drawings. The lesson outlines the do now activity and upcoming homework assignments. It then discusses scale drawings and scale factors on pages 3 through 11, explaining how to use scale drawings to find the actual area of real-world objects.
Module 4.5 lesson 9 computing actual lengths
This document outlines a math lesson on computing actual lengths from a scale drawing. It includes notes on converting scaled measurements to actual lengths using scale factors. For homework, students are asked to complete problem set #4 which involves calculating actual distances based on scale drawings. A quiz on this content is scheduled for February 28.
Linear equations lesson 6 slope
This document contains notes from a pre-algebra lesson on slope. It includes examples of finding the slope of a line from its graph and equation. There is a quiz scheduled on linear equations for Wednesday February 15th for B day students and Thursday February 16th for A day students. The lesson discusses different types of slopes including positive, negative, zero, and undefined slopes.
Module 4.5 lesson 7 scale factor as a percent
This document contains notes from a math lesson on scale factor as a percent. It includes homework assignments and pages from the textbook covering topics such as calculating scale factor as a percentage and creating scale drawings with different horizontal and vertical scale factors. The closing question asks whether a scale drawing can have different horizontal and vertical scale factors and how to create one with different factors.
Module 4.5 lesson 6 scale map
This document discusses using scale maps to determine actual distances. It provides examples of using scale factors and proportions to calculate distances between towns based on their representation on a map. The scale of the map in the examples is 0.75 inches equals 4 miles. Students are asked to use this scale to determine actual distances between various town pairs. They are also asked why distances calculated from a map may be less than the actual distance driven in a car.
Linear equations lesson 5 horizontal and vertical lines
This document contains notes from a lesson on linear equations that focuses on horizontal and vertical lines. It includes examples of solving linear equations by choosing to fix either the x-value or y-value. Students are given a quiz on Thursday and Friday to assess their understanding of these concepts. The document provides instructions to complete example 5 on page 22 of the lesson materials.
Module 4.5 lesson 4 scale area problems
The document is from a math lesson on computing actual areas from scale drawings. It provides examples of finding scale factors from drawings and using them to determine actual areas. It asks students to check if their area calculations match the examples. The lesson closes by asking students how to find an actual area given a scale drawing and a situation where this would be useful.
Module 4.5 lesson 3 computing actual lengths from scale drawings
This document provides examples and explanations for computing actual lengths from scale drawings. It begins with an example of a proposed half basketball court that needs to fit within a 25 foot by 75 foot lot. It then explains that the scale factor is the constant of proportionality that relates the actual length to the drawn length. Several other examples are worked through, applying the concept of using the scale factor and a proportion to determine actual lengths from a scaled drawing. The document concludes by restating that the scale factor expresses the relationship between the actual object and its scale drawing.
Module 4.5 lesson 2 unit rate as the scale factor
This document contains notes from a math lesson on unit rate as a scale factor. It includes examples of using scale factors to determine measurements for scaled drawings. The key points are that scale factor is calculated as the ratio of actual to drawn measurements, scale factors greater than 1 enlarge a drawing while factors less than 1 reduce it, and scale factors can be used to find dimensions for scaled objects and maps using proportions. Homework includes problem set questions and creating a scaled drawing.
Linear equations lesson 4 graphing linear equations
This document outlines a lesson on graphing linear equations from tables of values. It provides instructions to complete example 2 on page 15, and schedules supplemental practice and a quiz for the following Thursday and Friday to reinforce the concepts taught in the lesson.
Module 4.5 lesson 1 scale drawings
1) The document provides lesson materials on scale drawings, including examples of scale drawings that are reductions or enlargements of original images. It discusses using scale drawings of maps and geometric shapes.
2) Students are asked to identify corresponding points on scale drawings of maps and the coordinates of vertices for geometric shapes. They are also asked to determine if a constant of proportionality exists for scale drawings.
3) The lesson aims to help students understand how to relate scale drawings to ratios and rates by analyzing examples of scale drawings and their relationships to original images.
Review for module 4 exam
The document outlines a review for a Module 4 exam. It instructs students to prepare for the exam by doing homework and going over the previous night's work with a partner. The review includes mixed exercises on percentages to help students study for concepts involving percents that could appear on the exam.
Linear equations lesson 3 consecutive integers
The document outlines a pre-algebra lesson on consecutive integers that includes:
- Writing let statements and equations to solve word problems involving consecutive integers
- Examples of consecutive integer word problems and their solutions
- A closing activity to explain the procedure for writing equations from word problems.
14 mixed review with percents with answers
The document outlines a math class focusing on percentages that includes a do now, homework assignments, and an exam date. It provides notes for a mixed review of percentage problems, repeating the class objective of percentage calculations.
Module 4 lesson 13
This document outlines notes from a science lesson on relative error. It includes instructions for students to complete homework problems and an experiment to measure density. The document provides examples to calculate relative error and asks students to consider how this concept could be applied to other labs.
Module 4 lesson 12 relative error
This document contains notes from a math lesson on relative error. It includes the date of the lesson, topics to be covered which are finding the percent error of measurements and the purpose of finding percent error. The document provides examples of measurements and the corresponding percent errors. It also lists homework problems and the date of an upcoming exam.
Linear equations lesson 2 geometric word problems
This document outlines a lesson on solving geometric word problems algebraically. It provides instructions for students to complete problems 25-30 on page 4, which involve writing a "let statement" and equation for each word problem and solving to find the answer. The document includes pages of example problems and explains the procedure for writing an equation from a word problem. It concludes with a closing activity for students to explain their process.
More from Erik Tjersland (20)
Linear equations lesson 8 day 2 graphing linear equations
Linear equations lesson 8 day 2 graphing linear equations
Linear equations lesson 8 day 1 graphing linear equations
Linear equations lesson 8 day 1 graphing linear equations
Linear equations lesson 5 horizontal and vertical lines
Linear equations lesson 5 horizontal and vertical lines
Module 4.5 lesson 3 computing actual lengths from scale drawings
Module 4.5 lesson 3 computing actual lengths from scale drawings
Linear equations lesson 4 graphing linear equations
Linear equations lesson 4 graphing linear equations
Recently uploaded
“I’m still / I’m still / Chaining from the Block”
“An Outlook of the Ongoing and Future Relationship between Blockchain Technologies and Process-aware Information Systems.” Invited talk at the joint workshop on Blockchain for Information Systems (BC4IS) and Blockchain for Trusted Data Sharing (B4TDS), co-located with with the 36th International Conference on Advanced Information Systems Engineering (CAiSE), 3 June 2024, Limassol, Cyprus.
Removing Uninteresting Bytes in Software Fuzzing
Imagine a world where software fuzzing, the process of mutating bytes in test seeds to uncover hidden and erroneous program behaviors, becomes faster and more effective. A lot depends on the initial seeds, which can significantly dictate the trajectory of a fuzzing campaign, particularly in terms of how long it takes to uncover interesting behaviour in your code. We introduce DIAR, a technique designed to speedup fuzzing campaigns by pinpointing and eliminating those uninteresting bytes in the seeds. Picture this: instead of wasting valuable resources on meaningless mutations in large, bloated seeds, DIAR removes the unnecessary bytes, streamlining the entire process.
In this work, we equipped AFL, a popular fuzzer, with DIAR and examined two critical Linux libraries -- Libxml's xmllint, a tool for parsing xml documents, and Binutil's readelf, an essential debugging and security analysis command-line tool used to display detailed information about ELF (Executable and Linkable Format). Our preliminary results show that AFL+DIAR does not only discover new paths more quickly but also achieves higher coverage overall. This work thus showcases how starting with lean and optimized seeds can lead to faster, more comprehensive fuzzing campaigns -- and DIAR helps you find such seeds.
- These are slides of the talk given at IEEE International Conference on Software Testing Verification and Validation Workshop, ICSTW 2022.
Artificial Intelligence for XMLDevelopment
In the rapidly evolving landscape of technologies, XML continues to play a vital role in structuring, storing, and transporting data across diverse systems. The recent advancements in artificial intelligence (AI) present new methodologies for enhancing XML development workflows, introducing efficiency, automation, and intelligent capabilities. This presentation will outline the scope and perspective of utilizing AI in XML development. The potential benefits and the possible pitfalls will be highlighted, providing a balanced view of the subject.
We will explore the capabilities of AI in understanding XML markup languages and autonomously creating structured XML content. Additionally, we will examine the capacity of AI to enrich plain text with appropriate XML markup. Practical examples and methodological guidelines will be provided to elucidate how AI can be effectively prompted to interpret and generate accurate XML markup.
Further emphasis will be placed on the role of AI in developing XSLT, or schemas such as XSD and Schematron. We will address the techniques and strategies adopted to create prompts for generating code, explaining code, or refactoring the code, and the results achieved.
The discussion will extend to how AI can be used to transform XML content. In particular, the focus will be on the use of AI XPath extension functions in XSLT, Schematron, Schematron Quick Fixes, or for XML content refactoring.
The presentation aims to deliver a comprehensive overview of AI usage in XML development, providing attendees with the necessary knowledge to make informed decisions. Whether you’re at the early stages of adopting AI or considering integrating it in advanced XML development, this presentation will cover all levels of expertise.
By highlighting the potential advantages and challenges of integrating AI with XML development tools and languages, the presentation seeks to inspire thoughtful conversation around the future of XML development. We’ll not only delve into the technical aspects of AI-powered XML development but also discuss practical implications and possible future directions.
Communications Mining Series - Zero to Hero - Session 1
This session provides introduction to UiPath Communication Mining, importance and platform overview. You will acquire a good understand of the phases in Communication Mining as we go over the platform with you. Topics covered:
• Communication Mining Overview
• Why is it important?
• How can it help today’s business and the benefits
• Phases in Communication Mining
• Demo on Platform overview
• Q/A
20240607 QFM018 Elixir Reading List May 2024
Everything I found interesting about the Elixir programming ecosystem in May 2024
GraphSummit Singapore | Graphing Success: Revolutionising Organisational Stru...
Sudheer Mechineni, Head of Application Frameworks, Standard Chartered Bank
Discover how Standard Chartered Bank harnessed the power of Neo4j to transform complex data access challenges into a dynamic, scalable graph database solution. This keynote will cover their journey from initial adoption to deploying a fully automated, enterprise-grade causal cluster, highlighting key strategies for modelling organisational changes and ensuring robust disaster recovery. Learn how these innovations have not only enhanced Standard Chartered Bank’s data infrastructure but also positioned them as pioneers in the banking sector’s adoption of graph technology.
Best 20 SEO Techniques To Improve Website Visibility In SERP
Boost your website's visibility with proven SEO techniques! Our latest blog dives into essential strategies to enhance your online presence, increase traffic, and rank higher on search engines. From keyword optimization to quality content creation, learn how to make your site stand out in the crowded digital landscape. Discover actionable tips and expert insights to elevate your SEO game.
Video Streaming: Then, Now, and in the Future
In his public lecture, Christian Timmerer provides insights into the fascinating history of video streaming, starting from its humble beginnings before YouTube to the groundbreaking technologies that now dominate platforms like Netflix and ORF ON. Timmerer also presents provocative contributions of his own that have significantly influenced the industry. He concludes by looking at future challenges and invites the audience to join in a discussion.
GraphSummit Singapore | The Art of the Possible with Graph - Q2 2024
Neha Bajwa, Vice President of Product Marketing, Neo4j
Join us as we explore breakthrough innovations enabled by interconnected data and AI. Discover firsthand how organizations use relationships in data to uncover contextual insights and solve our most pressing challenges – from optimizing supply chains, detecting fraud, and improving customer experiences to accelerating drug discoveries.
Mind map of terminologies used in context of Generative AI
Mind map of common terms used in context of Generative AI.
GraphSummit Singapore | Enhancing Changi Airport Group's Passenger Experience...
Dr. Sean Tan, Head of Data Science, Changi Airport Group
Discover how Changi Airport Group (CAG) leverages graph technologies and generative AI to revolutionize their search capabilities. This session delves into the unique search needs of CAG’s diverse passengers and customers, showcasing how graph data structures enhance the accuracy and relevance of AI-generated search results, mitigating the risk of “hallucinations” and improving the overall customer journey.
Climate Impact of Software Testing at Nordic Testing Days
My slides at Nordic Testing Days 6.6.2024
Climate impact / sustainability of software testing discussed on the talk. ICT and testing must carry their part of global responsibility to help with the climat warming. We can minimize the carbon footprint but we can also have a carbon handprint, a positive impact on the climate. Quality characteristics can be added with sustainability, and then measured continuously. Test environments can be used less, and in smaller scale and on demand. Test techniques can be used in optimizing or minimizing number of tests. Test automation can be used to speed up testing.
GraphRAG for Life Science to increase LLM accuracy
GraphRAG for life science domain, where you retriever information from biomedical knowledge graphs using LLMs to increase the accuracy and performance of generated answers
UiPath Test Automation using UiPath Test Suite series, part 6
Welcome to UiPath Test Automation using UiPath Test Suite series part 6. In this session, we will cover Test Automation with generative AI and Open AI.
UiPath Test Automation with generative AI and Open AI webinar offers an in-depth exploration of leveraging cutting-edge technologies for test automation within the UiPath platform. Attendees will delve into the integration of generative AI, a test automation solution, with Open AI advanced natural language processing capabilities.
Throughout the session, participants will discover how this synergy empowers testers to automate repetitive tasks, enhance testing accuracy, and expedite the software testing life cycle. Topics covered include the seamless integration process, practical use cases, and the benefits of harnessing AI-driven automation for UiPath testing initiatives. By attending this webinar, testers, and automation professionals can gain valuable insights into harnessing the power of AI to optimize their test automation workflows within the UiPath ecosystem, ultimately driving efficiency and quality in software development processes.
What will you get from this session?
1. Insights into integrating generative AI.
2. Understanding how this integration enhances test automation within the UiPath platform
3. Practical demonstrations
4. Exploration of real-world use cases illustrating the benefits of AI-driven test automation for UiPath
Topics covered:
What is generative AI
Test Automation with generative AI and Open AI.
UiPath integration with generative AI
Speaker:
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
みなさんこんにちはこれ何文字まで入るの？40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの？えこ...
ここ3000字までしか入らないけどタイトルの方がたくさん文字入ると思います。
Full-RAG: A modern architecture for hyper-personalization
Mike Del Balso, CEO & Co-Founder at Tecton, presents "Full RAG," a novel approach to AI recommendation systems, aiming to push beyond the limitations of traditional models through a deep integration of contextual insights and real-time data, leveraging the Retrieval-Augmented Generation architecture. This talk will outline Full RAG's potential to significantly enhance personalization, address engineering challenges such as data management and model training, and introduce data enrichment with reranking as a key solution. Attendees will gain crucial insights into the importance of hyperpersonalization in AI, the capabilities of Full RAG for advanced personalization, and strategies for managing complex data integrations for deploying cutting-edge AI solutions.
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
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
Recently uploaded (20)
Communications Mining Series - Zero to Hero - Session 1
Communications Mining Series - Zero to Hero - Session 1
GraphSummit Singapore | Graphing Success: Revolutionising Organisational Stru...
GraphSummit Singapore | Graphing Success: Revolutionising Organisational Stru...
Best 20 SEO Techniques To Improve Website Visibility In SERP
Best 20 SEO Techniques To Improve Website Visibility In SERP
GraphSummit Singapore | The Art of the Possible with Graph - Q2 2024
GraphSummit Singapore | The Art of the Possible with Graph - Q2 2024
Mind map of terminologies used in context of Generative AI
Mind map of terminologies used in context of Generative AI
GraphSummit Singapore | Enhancing Changi Airport Group's Passenger Experience...
GraphSummit Singapore | Enhancing Changi Airport Group's Passenger Experience...
Climate Impact of Software Testing at Nordic Testing Days
Climate Impact of Software Testing at Nordic Testing Days
GraphRAG for Life Science to increase LLM accuracy
GraphRAG for Life Science to increase LLM accuracy
UiPath Test Automation using UiPath Test Suite series, part 6
UiPath Test Automation using UiPath Test Suite series, part 6
みなさんこんにちはこれ何文字まで入るの？40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの？えこ...
みなさんこんにちはこれ何文字まで入るの？40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの？えこ...
Full-RAG: A modern architecture for hyper-personalization
Full-RAG: A modern architecture for hyper-personalization
HCL Notes and Domino License Cost Reduction in the World of DLAU
HCL Notes and Domino License Cost Reduction in the World of DLAU
Presentation of the OECD Artificial Intelligence Review of Germany
Presentation of the OECD Artificial Intelligence Review of Germany
Module 2 lesson 6
- 1. Module 2 Lesson 6.notebook November 06, 2013 11/6/13 Module 2, Lesson 6 The Distance between two rational numbers HW: Lesson 6 Problem Set Quiz Friday Do Now: Exit Ticket For Lesson 5 1
- 5. Module 2 Lesson 6.notebook November 06, 2013 Problem Set 5 Answer Key 2 + 16 18 + (26) 14 + (23) 1 2 = 1 + (2) 30 + 45 5
- 8. Module 2 Lesson 6.notebook November 06, 2013 Discussion: 1.) In life, at any given moment, will we always be able to use a number line to find the distance between two rational numbers? Is it the most efficient way to calculate distance between two points? 2.) What represents the distance between a number and zero on the number line? 3.) If the distance between 5 and 0 can be calculated using 5 - 0 or 5 , do you think we might be able to calculate the distance between -4 and 5 using absolute value? 8
- 16. Module 2 Lesson 6.notebook November 06, 2013 CLOSING: • How can we use a number line to find the distance between two rational numbers? • What does it mean to find the absolute value of a number ? • Is it possible to use absolute value to find distance between a number, p, and another number, =, that isnot zero ? If so how? • Is distance always positive? Is change always positive? 16