8.7 notes b
•
0 likes•1 view
This document contains notes from multiple sections on solving systems of equations by graphing. It includes questions about graphing systems like y = 3x - 4 and y = -2x + 5. It also asks how to solve an absolute value equation like |x+4| = x^2 - 3 and discusses the pros and cons of the graphing method, listing advantages and disadvantages.
Report
Share
Report
Share
Download to read offline
Recommended
Module 3 Lesson 13
This document provides an overview of a math lesson on multiplying and dividing by 9. The lesson includes fluency practice with dividing by 8 and decomposing multiples of 9. The concept development teaches patterns for multiplying by 9, such as the digit in the tens place being one less than the number of groups and the ones place being 10 minus the number of groups. Students apply these patterns to solve nines facts from 1 to 10. An application problem has students use nines facts to check their work. A problem set, debrief, exit ticket and homework assignment conclude the lesson.
5-Cm2 15-16
This document is a math worksheet testing multiplication tables. It presents 5 multiplication problems - 3 x 9, 6 x 7, 9 x 9, 6 x 8, and 4 x 7 - on individual slides. The next page provides the correct answers to each problem: 27 for 3 x 9, 42 for 6 x 7, 81 for 9 x 9, 48 for 6 x 8, and 28 for 4 x 7.
Module 3 Lesson 17
This document outlines a lesson plan on multiplication and division facts. It includes the following sections: fluency practice involving multiplication and division problems; an application problem about the number of plants in a garden; a concept development section where students identify patterns in multiples of 9 and properties of even and odd numbers as factors; and a problem set for students to complete. The lesson teaches students to use known facts and arrays to solve more difficult multiplication problems.
5-Cm4 14-15
This document is a mental calculation exercise containing 5 multiplication problems. It presents the multiplication questions one by one, showing the multiplicand and multiplier for each problem. After showing all the problems, it then provides the answers for each one in a correction section.
Colour in mathematics
The document discusses how color can be used in mathematics to add clarity. It provides examples of how color highlights terms in algebra, emphasizes coefficients when equating expressions, and aids in showing regions in inequalities. While videos are used for worked solutions, some students prefer a series of still images to control the pace themselves. Color is suggested as a way to help clarity in online worked solutions.
Mathematical reasoning
Basics of Multiplication Facts. How to break down by sequences that kids need to learn for mathematical success.
7 4 Notes A
This document contains instructions and examples for solving various algebra problems involving factoring expressions and equations. It is divided into three topics: 1) greatest common factor and the distributive property, 2) greatest common factor and zero product property with solving equations, and 3) more factoring. Students are asked to work through sample problems with a partner and be prepared to share their work. They will then schedule appointments with other students to review specific problem sets related to each topic.
Recommended
Module 3 Lesson 13
This document provides an overview of a math lesson on multiplying and dividing by 9. The lesson includes fluency practice with dividing by 8 and decomposing multiples of 9. The concept development teaches patterns for multiplying by 9, such as the digit in the tens place being one less than the number of groups and the ones place being 10 minus the number of groups. Students apply these patterns to solve nines facts from 1 to 10. An application problem has students use nines facts to check their work. A problem set, debrief, exit ticket and homework assignment conclude the lesson.
5-Cm2 15-16
This document is a math worksheet testing multiplication tables. It presents 5 multiplication problems - 3 x 9, 6 x 7, 9 x 9, 6 x 8, and 4 x 7 - on individual slides. The next page provides the correct answers to each problem: 27 for 3 x 9, 42 for 6 x 7, 81 for 9 x 9, 48 for 6 x 8, and 28 for 4 x 7.
Module 3 Lesson 17
This document outlines a lesson plan on multiplication and division facts. It includes the following sections: fluency practice involving multiplication and division problems; an application problem about the number of plants in a garden; a concept development section where students identify patterns in multiples of 9 and properties of even and odd numbers as factors; and a problem set for students to complete. The lesson teaches students to use known facts and arrays to solve more difficult multiplication problems.
5-Cm4 14-15
This document is a mental calculation exercise containing 5 multiplication problems. It presents the multiplication questions one by one, showing the multiplicand and multiplier for each problem. After showing all the problems, it then provides the answers for each one in a correction section.
Colour in mathematics
The document discusses how color can be used in mathematics to add clarity. It provides examples of how color highlights terms in algebra, emphasizes coefficients when equating expressions, and aids in showing regions in inequalities. While videos are used for worked solutions, some students prefer a series of still images to control the pace themselves. Color is suggested as a way to help clarity in online worked solutions.
Mathematical reasoning
Basics of Multiplication Facts. How to break down by sequences that kids need to learn for mathematical success.
7 4 Notes A
This document contains instructions and examples for solving various algebra problems involving factoring expressions and equations. It is divided into three topics: 1) greatest common factor and the distributive property, 2) greatest common factor and zero product property with solving equations, and 3) more factoring. Students are asked to work through sample problems with a partner and be prepared to share their work. They will then schedule appointments with other students to review specific problem sets related to each topic.
Module 3 Lesson 1
This document outlines a math lesson on multiplication and division with units of 0-9 and multiples of 10. The objective is to study the commutative property to find known facts for 6, 7, 8, and 9. The lesson includes fluency practice with sprints, group counting, using a multiplication chart and the commutative property to find new facts and fill in the chart. An application problem asks students to model how many liters of water Geri brings, and a problem set and exit ticket are assigned for homework.
Module 3 Lesson 5
This document provides an overview of a mathematics lesson on multiplication and division with units of 0, 1, 6-9 and multiples of 10. The lesson objectives are to count by sevens and divide using number bonds. The lesson includes fluency practice with multiplying by 6, group counting in sevens, eights and nines, a make seven game, and a concept development section where students use number bonds to decompose numbers and count by sevens to solve multiplication and division problems. Students then complete independent practice problems and an exit ticket to assess their understanding.
M483 day 08 april 28
1. Two article responses are due. A POW on the staircase case is due Wednesday. For those observing at SMS, submit observation notes. For those teaching, submit a lesson plan.
2. The document contains math problems and exercises on factors, operations, and dividing squares into smaller squares.
3. Upcoming assignments include no reading response, the POW due Wednesday, a lesson plan or teaching plan for Monday at SMS.
Math module 3 lesson 12
This document provides lesson plans and materials for teaching multiplication and division using units of 9. It includes objectives, guided practice examples, and application problems. Students will learn strategies like breaking apart numbers to use known facts, such as using 9 = 10 - 1 to solve multiplication facts involving 9. For example, to solve 9 x 8, students recognize there are 10 x 8 eights and subtract the 1 x 8 eights to get 72. The lesson aims to build fluency with multiplication and division while using place value understanding.
8th alg -l6.5--feb4
The document contains notes from a math lesson on solving systems of equations. It includes 5 practice problems asking students to determine the best method to solve each system (elimination, substitution, or graphing) and then to solve it. The final problem asks students to write and solve a system of equations to determine when two volunteers, Jack and Claire, will have volunteered the same number of hours based on their weekly schedules.
Primary PGCE pre-course day Maths presentation
This is Paula's presentation for Maths for the pre-course day for the Primary PGCE at the University of Hull.
Problem solving in math
This document contains a series of math problems and exercises. It begins with rules for the problem set and an overview of George Polya's problem solving techniques. The bulk of the document consists of 13 math exercises involving topics like patterns, algebra, geometry, trigonometry, and calculus. Exercises are sometimes to be done individually and sometimes in groups.
Multimedia Presentation: Two digit by Two-digit Multiplication
This document provides lesson plans and materials for teaching students 2-digit by 2-digit multiplication using base-ten blocks and area models. It includes the curriculum objectives of demonstrating understanding of multiplication through representing factors with expanded notation and modeling steps using arrays. Base-ten blocks are suggested for creating arrays to represent the numbers being multiplied and show the area model. An example problem is provided for students to build an array and solve in their journals. References for additional resources are listed.
Set induction
The document contains a mathematical expression and a request for help finding the answer and bringing a baby back, followed by a series of numbers. It is unclear what the expression, request, or numbers refer to without additional context.
Place Value, Multiplication, Division
This document provides information and resources about teaching place value, multiplication, division, and other number sense concepts using the Power of Ten approach. It includes learning objectives, teaching strategies, and links to video examples for concepts like representing numbers, comparing quantities, skip-counting, using arrays and distributive property for multiplication, and modeling division using grouping or sharing scenarios. Suggestions are given for developing an understanding of factors and multiples through meaningful activities rather than rote memorization of tables.
Classroom Makeover Day 3
Tiered instruction involves whole group initial instruction followed by identifying student differences and varying the abstraction, support, and complexity of goals, activities, and products based on those differences. It allows students to engage with the same essential ideas at different levels by increasing or decreasing aspects like abstraction, support, and complexity. The document provides examples of how tiered instruction could be applied to a math lesson involving dice and numbers, including options for modifying the lesson for more advanced students.
Lesson 21
This document provides an overview of the lesson plan for a math class. The lesson involves:
1) Practicing fluency with counting by various numbers and multiplying by 5
2) Solving a 2-step word problem using a tape diagram
3) Working in groups to model and solve word problems, then presenting solutions to the class
4) Completing an individual problem set and exit ticket to assess understanding.
Multiplication Story Wilson
Wilson presents 4 word problems involving multiplication and addition. For each problem, he states the quantities, what each quantity represents, and then shows the multiplication and addition equations to arrive at the total. In his reflection, Wilson notes that he learned multiplication and addition are related, and how to perform multiplication. He also discusses learning to add pictures and use Google in technology.
Module 3 lesson 3
The document provides guidance for a mathematics lesson that focuses on multiplying and dividing with familiar facts using letters to represent unknown values. It includes examples of modeling word problems using tape diagrams and writing equations to solve for the unknown values, represented by letters. The lesson emphasizes using a systematic approach to represent unknowns in various positions within multiplication and division sentences.
Multiplication & division teaching ideas
This document provides 16 teaching ideas for teaching multiplication and division to students. The teaching ideas include revising number patterns online, investigating multiples, using visual representations and words to teach concepts, creating instructional videos and songs with QR codes, using apps and games to practice, exploring arrays with blocks and in the environment, playing games like the array game to practice, creating a multiplication pyramid together, and using strategies like Study Ladder for rapid recall practice. Bloom's Taxonomy and Multiple Intelligences are also incorporated into activity ideas.
Implementing Proficiency-Based Assessment
Two 3rd grade geometry tasks are presented that involve patterns of squares or tiles. The first task simply asks students to determine the number of squares in the 25th arrangement, while the revised version asks students to investigate and report on the pattern. The document suggests questions teachers could ask themselves in examining student work, including the mathematical ideas explored, surprises, and implications for practice. A sample of student work is also included that provides observations about the pattern, a sketch of larger figures, methods for determining the total number of tiles, and how to convince others of the solution.
4 12 Notes B
The document provides a quick review for a quiz on writing equations of lines. It includes 4 problems: writing the equation of a line with a given slope and point, through two given points, a horizontal line through a given point, and a vertical line through a given point. It then transitions to discussing solving systems of equations using the elimination method, providing 3 examples of solving systems by eliminating a variable through adding or subtracting the equations.
4 12 Notes A
The document provides a quick review for a quiz on writing equations of lines and solving systems of equations using elimination. It includes 4 problems writing equations of lines, instructions to complete circled problems on a handout after the quiz, mentions of partner points, and 3 sample problems solving systems of equations using elimination.
8th Alg - L6.5 - Jan23
This document provides instructions and examples for solving systems of equations using elimination and substitution. It includes 20 practice problems for students to complete using these methods, with examples worked out step-by-step demonstrating how to set up and solve different types of systems of equations algebraically. The document emphasizes choosing the best solution method based on the given equations and provides context for writing and solving a word problem as a system of equations.
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.
7.12 notes a
This document provides examples and explanations for factoring quadratic expressions using the method of completing the square. It begins with 6 expressions to factor. Then it discusses what completing the square means, provides examples of perfect square trinomials, and walks through examples of solving quadratics by completing the square. It discusses the different types of solutions that can be obtained. Finally, it provides practice problems for students to solve on their own and discusses the homework assigned.
Solving 2 step variable equations
The document provides instructions for solving two-step equations. It explains that two-step equations require breaking the problem into two steps: 1) adding or subtracting and 2) multiplying or dividing. Examples are provided walking through solving equations step-by-step. Readers are prompted to try solving sample two-step equations on their own and show their work. More practice problems are offered along with their step-by-step solutions.
More Related Content
What's hot
Module 3 Lesson 1
This document outlines a math lesson on multiplication and division with units of 0-9 and multiples of 10. The objective is to study the commutative property to find known facts for 6, 7, 8, and 9. The lesson includes fluency practice with sprints, group counting, using a multiplication chart and the commutative property to find new facts and fill in the chart. An application problem asks students to model how many liters of water Geri brings, and a problem set and exit ticket are assigned for homework.
Module 3 Lesson 5
This document provides an overview of a mathematics lesson on multiplication and division with units of 0, 1, 6-9 and multiples of 10. The lesson objectives are to count by sevens and divide using number bonds. The lesson includes fluency practice with multiplying by 6, group counting in sevens, eights and nines, a make seven game, and a concept development section where students use number bonds to decompose numbers and count by sevens to solve multiplication and division problems. Students then complete independent practice problems and an exit ticket to assess their understanding.
M483 day 08 april 28
1. Two article responses are due. A POW on the staircase case is due Wednesday. For those observing at SMS, submit observation notes. For those teaching, submit a lesson plan.
2. The document contains math problems and exercises on factors, operations, and dividing squares into smaller squares.
3. Upcoming assignments include no reading response, the POW due Wednesday, a lesson plan or teaching plan for Monday at SMS.
Math module 3 lesson 12
This document provides lesson plans and materials for teaching multiplication and division using units of 9. It includes objectives, guided practice examples, and application problems. Students will learn strategies like breaking apart numbers to use known facts, such as using 9 = 10 - 1 to solve multiplication facts involving 9. For example, to solve 9 x 8, students recognize there are 10 x 8 eights and subtract the 1 x 8 eights to get 72. The lesson aims to build fluency with multiplication and division while using place value understanding.
8th alg -l6.5--feb4
The document contains notes from a math lesson on solving systems of equations. It includes 5 practice problems asking students to determine the best method to solve each system (elimination, substitution, or graphing) and then to solve it. The final problem asks students to write and solve a system of equations to determine when two volunteers, Jack and Claire, will have volunteered the same number of hours based on their weekly schedules.
Primary PGCE pre-course day Maths presentation
This is Paula's presentation for Maths for the pre-course day for the Primary PGCE at the University of Hull.
Problem solving in math
This document contains a series of math problems and exercises. It begins with rules for the problem set and an overview of George Polya's problem solving techniques. The bulk of the document consists of 13 math exercises involving topics like patterns, algebra, geometry, trigonometry, and calculus. Exercises are sometimes to be done individually and sometimes in groups.
Multimedia Presentation: Two digit by Two-digit Multiplication
This document provides lesson plans and materials for teaching students 2-digit by 2-digit multiplication using base-ten blocks and area models. It includes the curriculum objectives of demonstrating understanding of multiplication through representing factors with expanded notation and modeling steps using arrays. Base-ten blocks are suggested for creating arrays to represent the numbers being multiplied and show the area model. An example problem is provided for students to build an array and solve in their journals. References for additional resources are listed.
Set induction
The document contains a mathematical expression and a request for help finding the answer and bringing a baby back, followed by a series of numbers. It is unclear what the expression, request, or numbers refer to without additional context.
Place Value, Multiplication, Division
This document provides information and resources about teaching place value, multiplication, division, and other number sense concepts using the Power of Ten approach. It includes learning objectives, teaching strategies, and links to video examples for concepts like representing numbers, comparing quantities, skip-counting, using arrays and distributive property for multiplication, and modeling division using grouping or sharing scenarios. Suggestions are given for developing an understanding of factors and multiples through meaningful activities rather than rote memorization of tables.
Classroom Makeover Day 3
Tiered instruction involves whole group initial instruction followed by identifying student differences and varying the abstraction, support, and complexity of goals, activities, and products based on those differences. It allows students to engage with the same essential ideas at different levels by increasing or decreasing aspects like abstraction, support, and complexity. The document provides examples of how tiered instruction could be applied to a math lesson involving dice and numbers, including options for modifying the lesson for more advanced students.
Lesson 21
This document provides an overview of the lesson plan for a math class. The lesson involves:
1) Practicing fluency with counting by various numbers and multiplying by 5
2) Solving a 2-step word problem using a tape diagram
3) Working in groups to model and solve word problems, then presenting solutions to the class
4) Completing an individual problem set and exit ticket to assess understanding.
Multiplication Story Wilson
Wilson presents 4 word problems involving multiplication and addition. For each problem, he states the quantities, what each quantity represents, and then shows the multiplication and addition equations to arrive at the total. In his reflection, Wilson notes that he learned multiplication and addition are related, and how to perform multiplication. He also discusses learning to add pictures and use Google in technology.
Module 3 lesson 3
The document provides guidance for a mathematics lesson that focuses on multiplying and dividing with familiar facts using letters to represent unknown values. It includes examples of modeling word problems using tape diagrams and writing equations to solve for the unknown values, represented by letters. The lesson emphasizes using a systematic approach to represent unknowns in various positions within multiplication and division sentences.
Multiplication & division teaching ideas
This document provides 16 teaching ideas for teaching multiplication and division to students. The teaching ideas include revising number patterns online, investigating multiples, using visual representations and words to teach concepts, creating instructional videos and songs with QR codes, using apps and games to practice, exploring arrays with blocks and in the environment, playing games like the array game to practice, creating a multiplication pyramid together, and using strategies like Study Ladder for rapid recall practice. Bloom's Taxonomy and Multiple Intelligences are also incorporated into activity ideas.
Implementing Proficiency-Based Assessment
Two 3rd grade geometry tasks are presented that involve patterns of squares or tiles. The first task simply asks students to determine the number of squares in the 25th arrangement, while the revised version asks students to investigate and report on the pattern. The document suggests questions teachers could ask themselves in examining student work, including the mathematical ideas explored, surprises, and implications for practice. A sample of student work is also included that provides observations about the pattern, a sketch of larger figures, methods for determining the total number of tiles, and how to convince others of the solution.
What's hot (16)
Multimedia Presentation: Two digit by Two-digit Multiplication
Multimedia Presentation: Two digit by Two-digit Multiplication
Similar to 8.7 notes b
4 12 Notes B
The document provides a quick review for a quiz on writing equations of lines. It includes 4 problems: writing the equation of a line with a given slope and point, through two given points, a horizontal line through a given point, and a vertical line through a given point. It then transitions to discussing solving systems of equations using the elimination method, providing 3 examples of solving systems by eliminating a variable through adding or subtracting the equations.
4 12 Notes A
The document provides a quick review for a quiz on writing equations of lines and solving systems of equations using elimination. It includes 4 problems writing equations of lines, instructions to complete circled problems on a handout after the quiz, mentions of partner points, and 3 sample problems solving systems of equations using elimination.
8th Alg - L6.5 - Jan23
This document provides instructions and examples for solving systems of equations using elimination and substitution. It includes 20 practice problems for students to complete using these methods, with examples worked out step-by-step demonstrating how to set up and solve different types of systems of equations algebraically. The document emphasizes choosing the best solution method based on the given equations and provides context for writing and solving a word problem as a system of equations.
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.
7.12 notes a
This document provides examples and explanations for factoring quadratic expressions using the method of completing the square. It begins with 6 expressions to factor. Then it discusses what completing the square means, provides examples of perfect square trinomials, and walks through examples of solving quadratics by completing the square. It discusses the different types of solutions that can be obtained. Finally, it provides practice problems for students to solve on their own and discusses the homework assigned.
Solving 2 step variable equations
The document provides instructions for solving two-step equations. It explains that two-step equations require breaking the problem into two steps: 1) adding or subtracting and 2) multiplying or dividing. Examples are provided walking through solving equations step-by-step. Readers are prompted to try solving sample two-step equations on their own and show their work. More practice problems are offered along with their step-by-step solutions.
8th Alg - L6.4--Jan19
The document provides instructions and examples for solving systems of equations using substitution and elimination. Students are assigned practice problems 1-24 from lesson 6.4 in their textbook due on Monday. The lesson explains the steps for using elimination to solve systems, which includes multiplying one equation by a number to eliminate a variable, adding the equations to solve for the eliminated variable, and then substituting back into one equation to solve for the other variable. It provides 6 example problems demonstrating how to set up and solve systems of equations using elimination.
Day 4 Notes
The document discusses solving exponential equations using different number bases. It explains that when the base is not 10, the equation cannot be directly solved using a calculator. Instead, the logarithm of both sides should be taken to convert the equation to base 10. Then the logarithm laws can be used to isolate the variable, allowing the use of a calculator to determine the solution. Several examples are provided to demonstrate this process.
Day 4 Notes
The document discusses solving exponential equations using different number bases. It explains that when the base is not 10, the equation cannot be directly solved using a calculator. Instead, the logarithm of both sides should be taken to convert the equation to base 10. Then the logarithm laws can be used to isolate the variable, allowing the use of a calculator to determine the solution. Several examples are provided to demonstrate this process.
2.8 notes a
1. The document discusses solving equations by backtracking. It begins by defining an equation and identifying true and false equations. It then discusses the concept of solutions - the values that make the equation true.
2. Examples are provided to illustrate finding solutions to equations by reversing the steps of number tricks. Backtracking involves working backwards through the operations to determine the starting value.
3. Readers are instructed to solve sample equations by listing the number trick steps and then reversing the steps through backtracking to find the solution values.
Math module 3 lesson 8
This document provides lesson plans and instructions for teachers to teach students about multiplication and division using numbers up to 8, with a focus on understanding the use of parentheses in equations. The lesson includes activities like multiplying by 7, adding 6 and 7 mentally, and an application problem about eggs. It emphasizes that the order of operations matters when using parentheses in equations, and that moving the parentheses can change the answer. Students are asked to practice solving equations with parentheses in different positions.
Distributing
The document discusses the distributive property in mathematics. It provides examples of applying the distributive property, such as:
3(4 + 7) = 3*4 + 3*7 = 12 + 21 = 33
It explains that the distributive property distributes multiplication over addition or subtraction. For any real numbers x, y, and z, the rules are:
x(y + z) = xy + xz
x(y - z) = xy - xz
The document provides additional examples of applying the distributive property and explains the concepts of exponents that arise when multiplying variables.
Ch 01
1. The document discusses factors that affect the world's environment like population growth and provides population data from 1950 to 2050 in 10-year intervals.
2. It asks which 10-year period saw the largest increase in population and which saw the largest percentage increase.
3. The chapter aims to refresh skills working with numbers expressed as fractions, decimals, percentages, and indexes and applying them to real-life situations.
Module 3 Lesson 9
This document provides an overview of a mathematics lesson on multiplying and dividing numbers with factors of 0, 1, 6-9 and multiples of 10. The lesson includes fluency practice with dividing by 6 and 7, group counting in eights and nines, and inserting parentheses into number sentences. During concept development, students explore rewriting numbers like 16 as factors like 8 x 2 or 4 x 4 to simplify multiplication problems and make the relationships between factors clearer. Students then complete practice problems and an exit ticket to assess their understanding.
Begin All Math with STRATEGIES .pptx
This document discusses strategies for developing strong mental math skills in K-8 students. It defines mental math as using conceptual strategies to calculate without external aids. Several core strategies are described, such as making 10, using doubles, and the distributive property. The document emphasizes building number sense through repeated practice with games and discussion. Student progress in mental math is assessed through checklists, observations of strategy use, and sample work collection. Report cards evaluate if students can determine answers flexibly using strategies, make reasonable estimates, and apply estimation to daily life.
Mathematics lessons
This document provides a series of math word problems for students to solve. It begins by explaining that students will be given 3 digits and a result, and must insert the appropriate mathematical operators to make the equations true. It then provides 9 examples for students to work through, with varying levels of difficulty. The document encourages students to try solving them without looking at the answers first. It concludes by saying the next lesson will be on walking while chewing gum.
Multiplication
1) The document teaches a method for multiplying multi-digit numbers mentally in a step-by-step fashion by breaking the problem down into multiplying individual digits.
2) Key steps include multiplying the nearer digits first, then the more extreme digits, and carrying digits to the left.
3) Practice problems of increasing difficulty are provided, from 2-digit to 4-digit multipliers, to demonstrate applying the method. The reader is encouraged to time themselves and check their work.
April 12
The document provides information and examples about solving quadratic equations by completing the square. It begins with reviewing solving quadratics by factoring, graphing, and square roots. Then it introduces completing the square as a fourth method. Examples are provided to show how to identify the value to add inside the square and rewrite the equation in factored form. Students are assigned practice problems in pairs to work through applying this new method.
Feb 19
1. A test on polynomials will be held on Thursday covering adding, subtracting, multiplying, and dividing polynomials.
2. Test scores from additional tests will be posted with the lowest score being dropped. Weekly Khan Academy grades for the first two weeks of the third quarter will be posted after Wednesday.
3. The new scoring schedule for Khan Academy assignments is 4 points for each correct answer, with 8 consecutive correct answers earning 100% and 7 out of 8 correct earning 28%. No credit will be given for questions where hints are used.
November 3, 2014
- The document discusses an upcoming math final exam and provides examples to review rational equations, expressions with fractions, and formulas.
- Topics to review for the final exam include translations, order of operations, integers, and simplifying expressions. Example problems are provided to work through.
- Additional examples cover solving equations with variables on both sides, working with fractional equations, and operations with fractions and decimals such as adding, subtracting, multiplying, and dividing.
Similar to 8.7 notes b (20)
More from mbetzel
Unit 1 test 2.9 notes b
1) The document provides 4 math word problems and equations to solve using techniques like backtracking and defining variables.
2) It asks the reader to simplify the expression 2(x+6) - 4(3x - 1) and evaluate it for x = -2.
3) Another problem defines a variable to represent the number of giraffes at Brookfield Zoo and writes an expression relating it to the number of giraffes at Lincoln Park Zoo.
2.2 2.3 notes a
The document describes a numeric pattern where each row contains consecutive odd integers centered around 1. It asks students to conjecture the pattern and sum of terms in each row. It also provides homework questions on conditional statements, deductive reasoning, and analyzing the truth value of related conditional statements.
Unit 1 test 2.9 notes a
1) The document provides 4 math word problems and equations to solve using techniques like backtracking and defining variables.
2) It asks the reader to simplify the expression 2(x+6) - 4(3x - 1) and evaluate it for x = -2.
3) Another problem defines a variable to represent the number of giraffes at Brookfield Zoo and writes an expression relating it to the number of giraffes at Lincoln Park Zoo.
1.6 1.7 notes b
This document provides examples and explanations of the midpoint and distance formulas, as well as transformations in the coordinate plane. It includes 4 examples of using the midpoint and distance formulas to find midpoints and lengths of segments. It also defines different types of transformations, such as translations, reflections, and rotations. Students are given homework problems applying these concepts, and examples of identifying transformations and describing them with arrow notation.
Chapter 1 rev notes (a)
This document provides homework questions and a review packet for a chapter. It lists 7 numbered sections that appear to be questions or tasks related to reviewing material from the first chapter. The document aims to help students review and reinforce their understanding of the concepts covered in the initial chapter through completing the homework and review activities.
1.6 1.7 notes b
This document provides examples and explanations of the midpoint and distance formulas, as well as transformations in the coordinate plane. It includes 4 examples of using the midpoint and distance formulas to find midpoints and lengths of segments. It also defines different types of transformations, such as translations, reflections, and rotations. Students are given homework problems applying these concepts, and examples of identifying transformations and describing them with arrow notation.
1.6 1.7 notes a
This document provides examples and explanations of the midpoint and distance formulas, as well as transformations in the coordinate plane. It includes 4 examples of using the midpoint and distance formulas to find midpoints and lengths of line segments. It also discusses the different types of transformations (translations, reflections, rotations, and dilations) and provides examples of identifying each type using arrow notation. The homework assignments are to complete practice problems from sections 1.6 and 1.7 in the textbook, as listed.
1.6 1.7 notes a
This document provides examples and explanations of the midpoint and distance formulas, as well as transformations in the coordinate plane. It includes 4 examples of using the midpoint and distance formulas to find midpoints and lengths of line segments. It also discusses the different types of transformations - translations, reflections, rotations, and dilations - and provides examples of identifying each type of transformation using arrow notation. The homework assignments are to complete practice problems from sections 1.6 and 1.7 in the textbook, as listed.
1.5 1.6 notes b
1. The document provides instructions for a quiz and homework assignments on geometry chapters 1.5 and 1.6.
2. Students are asked to work on their vocabulary packet silently after finishing the quiz. Then the class will review geometry formulas.
3. The homework assignments are to complete problems on page 38 from section 1.5 and page 47 from section 1.6 in the textbook. These cover midpoints, distances, and the midpoint and distance formulas.
1.5 1.6 notes b
1. The document provides instructions for a quiz and homework assignments on geometry chapters 1.5 and 1.6.
2. Students are asked to work on their vocabulary packet silently after finishing the quiz. Then the class will review geometry formulas.
3. The homework assignments are to complete problems on page 38 from section 1.5 and page 47 from section 1.6 in the textbook. These cover midpoints, distances, and the midpoint and distance formulas.
1.5 1.6 notes b
1. The document provides instructions for a quiz and homework assignments on geometry chapters 1.5 and 1.6.
2. It includes examples of using the midpoint formula to find the midpoint of a segment and using given midpoints and endpoints to find missing endpoints.
3. There are also examples of using the Pythagorean theorem and distance formula to find the length of a segment between two points.
1.5 1.6 notes a
1. The document provides instructions for a quiz and homework assignments on geometry chapters 1.5 and 1.6. Students are asked to work on vocabulary and postulates after the quiz.
2. Examples are given for finding midpoints and distances between points on a coordinate plane using formulas like the midpoint formula, Pythagorean theorem, and distance formula.
3. Homework assignments include problems from the textbook on the topics of formulas in geometry, midpoints, and distance.
2.6 2.7 notes a
1. The document provides instructions and tasks for students to complete mathematical expressions, homework questions, and a lesson on reversible and non-reversible operations.
2. Students are asked to simplify expressions, complete homework problems, and determine whether example operations are reversible by considering if the starting number can be determined.
3. The document demonstrates how to "backtrack" through a multi-step operation to find the original starting number using reversible operations.
2.5 notes b
This document contains notes and instructions for a math lesson that includes:
1) Solving expressions and evaluating them for given values.
2) Completing an in-class activity with partners to review basic arithmetic rules.
3) Practicing the basic rules of arithmetic through examples of simplifying expressions using properties like commutative, associative, and distributive properties.
2.4 notes b
1. Students were asked to put math problems on the board from previous homework. The document then provides examples of expressions and teaches how to simplify them using order of operations and properties like the distributive property. Students are asked to simplify sample expressions involving variables.
2. The document reviews that expressions need to have "like terms" to be simplified, such as terms with the same variables. Students practice simplifying expressions with multiple variables and terms by combining like terms.
3. To conclude, students are instructed to write their name and ID number on raffle tickets and provide just the simplified answer, practicing the skills of defining a variable, writing an expression, simplifying it, and evaluating it.
2.3 notes b
This document contains instructions for students to complete various math exercises on their TI-Nspire calculators. It asks students to match expressions to steps, write an expression for the area of a rectangle, simplify an algebraic expression, evaluate expressions for different variable values, and complete an activity on their calculators worth daily work points. Students are told to work with partners but can ask other group members for help if needed and to raise their hand once finished.
2.2 notes a
1. When entering class each day, students should say hi, have their homework out, write any questions on the board, and start the opener problem.
2. The document then provides examples of algebra problems involving variables to represent unknown quantities and expressions combining variables, operators, and constants.
3. Students are instructed to complete a set of practice problems from page 94 in their workbook and have their work checked by the teacher.
8.7 notes b
This document contains notes from multiple sections on solving systems of equations by graphing. It includes questions on graphing systems like y = 3x - 4 and y = -2x + 5. It also asks how to solve an absolute value equation like |x+4| = x^2 - 3 and discusses the pros and cons of the graphing method, listing advantages and disadvantages. Finally, it addresses solving an equation like x^3 + 5x = 7x^2 - 5 by graphing and reflects on graphing techniques from prior lessons.
More from mbetzel (20)
Recently uploaded
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
The History of NZ 1870-1900.
Making of a Nation.
From the NZ Wars to Liberals,
Richard Seddon, George Grey,
Social Laboratory, New Zealand,
Confiscations, Kotahitanga, Kingitanga, Parliament, Suffrage, Repudiation, Economic Change, Agriculture, Gold Mining, Timber, Flax, Sheep, Dairying,
A Visual Guide to 1 Samuel | A Tale of Two Hearts
These slides walk through the story of 1 Samuel. Samuel is the last judge of Israel. The people reject God and want a king. Saul is anointed as the first king, but he is not a good king. David, the shepherd boy is anointed and Saul is envious of him. David shows honor while Saul continues to self destruct.
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
(𝐓𝐋𝐄 𝟏𝟎𝟎) (𝐋𝐞𝐬𝐬𝐨𝐧 𝟏)-𝐏𝐫𝐞𝐥𝐢𝐦𝐬
𝐃𝐢𝐬𝐜𝐮𝐬𝐬 𝐭𝐡𝐞 𝐄𝐏𝐏 𝐂𝐮𝐫𝐫𝐢𝐜𝐮𝐥𝐮𝐦 𝐢𝐧 𝐭𝐡𝐞 𝐏𝐡𝐢𝐥𝐢𝐩𝐩𝐢𝐧𝐞𝐬:
- Understand the goals and objectives of the Edukasyong Pantahanan at Pangkabuhayan (EPP) curriculum, recognizing its importance in fostering practical life skills and values among students. Students will also be able to identify the key components and subjects covered, such as agriculture, home economics, industrial arts, and information and communication technology.
𝐄𝐱𝐩𝐥𝐚𝐢𝐧 𝐭𝐡𝐞 𝐍𝐚𝐭𝐮𝐫𝐞 𝐚𝐧𝐝 𝐒𝐜𝐨𝐩𝐞 𝐨𝐟 𝐚𝐧 𝐄𝐧𝐭𝐫𝐞𝐩𝐫𝐞𝐧𝐞𝐮𝐫:
-Define entrepreneurship, distinguishing it from general business activities by emphasizing its focus on innovation, risk-taking, and value creation. Students will describe the characteristics and traits of successful entrepreneurs, including their roles and responsibilities, and discuss the broader economic and social impacts of entrepreneurial activities on both local and global scales.
Andreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...
Andreas Schleicher, Director of Education and Skills at the OECD presents at the launch of PISA 2022 Volume III - Creative Minds, Creative Schools on 18 June 2024.
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh
Educational Technology in the Health Sciences
Plenary presentation at the NTTC Inter-university Workshop, 18 June 2024, Manila Prince Hotel.
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...Nguyen Thanh Tu Collection
https://app.box.com/s/tacvl9ekroe9hqupdnjruiypvm9rdaneGender and Mental Health - Counselling and Family Therapy Applications and In...
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
-------------------------------------------------------------------------------
Find out more about ISO training and certification services
Training: ISO/IEC 27001 Information Security Management System - EN | PECB
ISO/IEC 42001 Artificial Intelligence Management System - EN | PECB
General Data Protection Regulation (GDPR) - Training Courses - EN | PECB
Webinars: https://pecb.com/webinars
Article: https://pecb.com/article
-------------------------------------------------------------------------------
For more information about PECB:
Website: https://pecb.com/
LinkedIn: https://www.linkedin.com/company/pecb/
Facebook: https://www.facebook.com/PECBInternational/
Slideshare: http://www.slideshare.net/PECBCERTIFICATION
Stack Memory Organization of 8086 Microprocessor
The stack memory organization of 8086 microprocessor.
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
How Barcodes Can Be Leveraged Within Odoo 17
In this presentation, we will explore how barcodes can be leveraged within Odoo 17 to streamline our manufacturing processes. We will cover the configuration steps, how to utilize barcodes in different manufacturing scenarios, and the overall benefits of implementing this technology.
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"National Information Standards Organization (NISO)
This presentation was provided by Racquel Jemison, Ph.D., Christina MacLaughlin, Ph.D., and Paulomi Majumder. Ph.D., all of the American Chemical Society, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.Recently uploaded (20)
spot a liar (Haiqa 146).pptx Technical writhing and presentation skills
spot a liar (Haiqa 146).pptx Technical writhing and presentation skills
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Juneteenth Freedom Day 2024 David Douglas School District
Juneteenth Freedom Day 2024 David Douglas School District
Andreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...
Andreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptx
REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf
REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
8.7 notes b
- 2. 8.7 Opener: 2
- 4. 8.7 Notes (Day 2) 4
- 5. 5
- 6. 8.10 Solving by Graphing, Again Topic One: Solving by Graphing Think Back... How do you solve the system: y = 3x ‐ 4 y = ‐2x + 5 What if we wanted to solve x3 + 5x = 7x2 ‐ 5? 6
- 7. Topic One: Solving by Graphing Think Back... How did we solve |x+4| = x2 ‐ 3 a long time ago? The Pros and the Cons of Solving by Graphing... Pros Cons 7
- 8. 8
- 9. 9