This document contains notes from a math teacher for lessons on solving equations over several days. It includes the essential components of each lesson - learning goals, examples to work through, guided practice problems and homework assignments. The notes provide guidance to help students understand different methods for solving equations, avoid common mistakes, and assess their progress on the learning goals which involve solving various types of one-step and multi-step equations.
This document provides a lesson plan for teaching 6th grade students how to add and subtract simple fractions and mixed numbers without regrouping. It includes objectives, instructions, examples, and practice problems. It aims to help students understand how to find the least common denominator of fractions, then add or subtract the numerators and write the answer over the common denominator or as a mixed number. Students are provided examples like adding 3/4 and 1/2, then given practice problems to solve on their own. The lesson plan is designed to help students master the key steps for adding and subtracting similar fractions.
This lesson teaches students how to factor expressions using the greatest common factor (GCF) and the distributive property. Students practice factoring expressions by identifying the GCF of terms and writing equivalent expressions in factored form. The lesson includes examples of factoring expressions with variables as well as evaluating factored expressions. Students complete exercises to practice these skills and demonstrate their understanding of factoring expressions.
This document provides practice problems for students to work on fraction skills aligned to different math standards. It includes 5 problems for each standard to allow teachers to select the appropriate level of challenge. The problems cover explaining equivalent fractions using visual models, comparing fractions, generating and recognizing equivalent fractions, solving word problems involving fractions, and using number lines to represent fractions. The document is intended to help reteach fractions concepts based on student data.
This document provides an overview of solving linear inequalities. It introduces inequality notation and properties, discusses multiplying and dividing by negative numbers, and provides examples of solving different types of linear inequalities. It also covers interval notation, graphing solutions to inequalities on number lines, and using interactive tools like Gizmos for additional practice with inequalities.
Equation Business Problem concerned with mathemetics businessKiranMittal7
This chapter discusses using equations to solve business problems. It defines key terms related to equations such as variables, constants, expressions, and formulas. It explains how to solve basic equations by transposing terms to isolate the variable. It provides examples of solving equations with addition, subtraction, multiplication, division and multiple operations. It also discusses writing expressions and equations from word problems by identifying key words. The chapter aims to teach students how to set up and solve equations that model real-world business situations.
Here are examples of the Associative Property and Commutative Property:
Associative Property:
Addition: (2 + 3) + 5 = 2 + (3 + 5)
Multiplication: 3 × (4 × 2) = (3 × 4) × 2
Commutative Property:
Addition: 2 + 5 = 5 + 2
Multiplication: 3 × 4 = 4 × 3
The Associative Property shows that changing the grouping of numbers or variables does not change the sum or product. The Commutative Property shows that changing the order of numbers or variables does not change the sum or product.
This document provides a lesson plan for teaching 6th grade students how to add and subtract simple fractions and mixed numbers without regrouping. It includes objectives, instructions, examples, and practice problems. It aims to help students understand how to find the least common denominator of fractions, then add or subtract the numerators and write the answer over the common denominator or as a mixed number. Students are provided examples like adding 3/4 and 1/2, then given practice problems to solve on their own. The lesson plan is designed to help students master the key steps for adding and subtracting similar fractions.
This lesson teaches students how to factor expressions using the greatest common factor (GCF) and the distributive property. Students practice factoring expressions by identifying the GCF of terms and writing equivalent expressions in factored form. The lesson includes examples of factoring expressions with variables as well as evaluating factored expressions. Students complete exercises to practice these skills and demonstrate their understanding of factoring expressions.
This document provides practice problems for students to work on fraction skills aligned to different math standards. It includes 5 problems for each standard to allow teachers to select the appropriate level of challenge. The problems cover explaining equivalent fractions using visual models, comparing fractions, generating and recognizing equivalent fractions, solving word problems involving fractions, and using number lines to represent fractions. The document is intended to help reteach fractions concepts based on student data.
This document provides an overview of solving linear inequalities. It introduces inequality notation and properties, discusses multiplying and dividing by negative numbers, and provides examples of solving different types of linear inequalities. It also covers interval notation, graphing solutions to inequalities on number lines, and using interactive tools like Gizmos for additional practice with inequalities.
Equation Business Problem concerned with mathemetics businessKiranMittal7
This chapter discusses using equations to solve business problems. It defines key terms related to equations such as variables, constants, expressions, and formulas. It explains how to solve basic equations by transposing terms to isolate the variable. It provides examples of solving equations with addition, subtraction, multiplication, division and multiple operations. It also discusses writing expressions and equations from word problems by identifying key words. The chapter aims to teach students how to set up and solve equations that model real-world business situations.
Here are examples of the Associative Property and Commutative Property:
Associative Property:
Addition: (2 + 3) + 5 = 2 + (3 + 5)
Multiplication: 3 × (4 × 2) = (3 × 4) × 2
Commutative Property:
Addition: 2 + 5 = 5 + 2
Multiplication: 3 × 4 = 4 × 3
The Associative Property shows that changing the grouping of numbers or variables does not change the sum or product. The Commutative Property shows that changing the order of numbers or variables does not change the sum or product.
This guide provides a refresher on basic computer programming concepts without using a specific programming language. It defines key terms like variables, which represent values that can change throughout a program, and statements, which are the smallest standalone elements a computer can understand. It also explains functions and methods as named sets of instructions that can be reused, and parameters as values passed into functions. Finally, it outlines different data types like integers, doubles, strings, and booleans that variables can take on to store different kinds of values.
The document provides information about rational numbers including their general form, examples of rational numbers, operations on rational numbers and their properties.
It defines a rational number as any number that can be expressed as a ratio of two integers. All integers and fractions are rational numbers.
The key properties of operations on rational numbers are discussed - addition, subtraction, multiplication and division can have closure, commutative, associative properties in some cases but not in others.
Several videos and activities are suggested to help teach and reinforce rational numbers concepts like representing them on a number line, comparing and ordering, finding rational numbers between two rationals and more.
The document describes a probability task given to 7th grade students. Most students were able to fill out a table of outcomes when given rules for rolling a number cube and coin. However, many struggled with identifying prime numbers, calculating probabilities, and using probabilities to determine expected outcomes in a game. The task aimed to assess if students could apply probability concepts to explain why a game with different rules for each player was fair. Fewer than 10% of students met all requirements of the task. The document discusses implications for teaching probability with more experiences using games and simulations.
Pyramid Printing Company publishes magazines, catalogs, and retail.docxmakdul
Pyramid Printing Company publishes magazines, catalogs, and retail inserts for distribution in large metropolitan-area newspapers. Its largest customer is the New York News Company, for which Pyramid prints sales fliers and coupon inserts.
Pyramid has contractual agreements with its customers; its present pricing strategy is cost-plus, and customers also agree to a yearly price escalation based on inflation. Pyramid completes the escalation based on cost-of-operations increases.
Recently, Obelisk Publishing proposed a bid to the New York News Company for alternative pricing to counter Pyramid Printing’s contract, which will be up for renewal. To compete with the bid from Obelisk, Pyramid will have to employ target costing.
For this discussion:
· What are the differences between cost-plus and target-costing approaches to developing appropriate pricing? Give advantages and disadvantages of each.
· Are there elements of the value chain that Pyramid may leverage in order to optimize target costing for a mature customer relationship?
Required:
Half to one page only with 2 references
Math 5th Grade
Lesson Plan
Tami Martin
CUR/520
December 12, 2016
Dr. Molly Dyer
Standard #
Cognitive Complexity (DOK level) / Learning goal w/ language objective
MAFS.5.NBT.2.5
Fluently multiply multi-digit whole numbers using the standard algorithm (DOK1)
MAFS.5.NBT.2.6
Find whole number quotients of whole numbers with up to 4 digit dividends and 2 digit divisors, using strategies based on place value, the properties of operations, and / or the relationship between multiplication and division. Illustrate and explain the calculations by using equations, rectangular arrays, and/or area models. (DOK2)
Unit Scale
4.0
Examples of students independently working beyond what was taught in class may include, but are not limited to:
· Creating an EXCEL spreadsheet that categorizes types of multiplication and division problems based on product unknown, group size unknown and group number unknown.
3.0
The students will
· Fluently multiply multi-digit whole numbers (not to exceed 5 digits by 2 digits) using the standard algorithm
· Find whole number quotients of whole numbers with up to 4 digit dividends and 2 digit divisors, using strategies based on place value, the properties of operations, and or the relationship between multiplication and division. Illustrate and explain the calculations by using equations, rectangular arrays, and/or area models.
2.0
The students will
· Multiply multi digit whole numbers (not to exceed 5 digits by 2 digits) using a variety of strategies.
· Find whole number quotients of whole numbers with up to 4 digit dividends and 1 digit divisors using a variety of strategies.
1.0
With help, the students will
· Multiply 5 digit whole numbers by 1 digit whole numbers
· Find whole number quotients of whole numbers with up to 3 digit dividends and 1 digit divisors, using a variety of strategies.
Day 1
Day 2
Day 3
Learning Goal w/ Language ...
This document provides lessons on dividing fractions. It begins with the learning competencies and standards for dividing simple fractions and mixed fractions. Examples are provided to demonstrate how to divide fractions by other fractions or whole numbers. The steps are to get the reciprocal of the divisor, apply cancellation if possible, then multiply the numerators and denominators. Mixed numbers should first be converted to improper fractions before dividing. Multiple choice questions assess understanding of dividing fractions. The assignment involves dividing the total amount of wax Mang Ambo has into portions for making candles.
Math 107 College AlgebraName Olufemi Akinyemi Final Examination F.docxalfredacavx97
Math 107 College AlgebraName Olufemi Akinyemi Final Examination: Fall, 2019Instructor: Dr.K. Thengumthara Answer Sheet
Instructions:
This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator.
Record your answers and work in this document. There are 30 problems.
Problems #1-12 are multiple choice. Record your choice for each problem. Problems #13-21 are short answer. Record your answer for each problem.
Problems #22-30 are short answer with work required. When requested, show all work and write all answers in the spaces allotted on the following pages. You may type your work using plain- text formatting or an equation editor, or you may hand-write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages.You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Your exam will receive a zero grade unless you complete the following honor statement.
Please sign (or type) your name below the following honor statement:
I have completed this final examination myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this final examination.
NameDate
Math 107 Final Examination
Fall, 2019
1
MULTIPLE CHOICE. Record your answer choices.
1.7.
2.8.
3.9.
4.10.
5.11.
6.12.
SHORT ANSWER. Record your answers below.
13.
14.
15.
16.
17.
18.
19. (a) (b) (c)
20.(a)
(b)
(c)
(d)
21. (a) (b) (c) (d)
SHORT ANSWER with Work Shown. Record your answers and work.
Problem Number
Solution
22
Answers:
(a)
(b)
Work/for part (a) and explanation for part (b):
23
Answers:
(a)
(b)
(c)
Work for part (a):
24
Answer:
Work:
25
Answer:
Work:
26
Answers:
(a)
(b)
Work for part (a) and for part (b):
27
Answer:
Work:
28
Answer:
Work:
29
Answers: (a)
(b)
Work for (b):
30
Answer:
Work:
Research Paper Guidelines
Due Date: Nov 29th, 2019
An important activity in this course will involve writing a research paper in APA format. This is an exercise in argumentation. This paper will be between 5 - 7 pages in size single-spaced. A list of topics related to software construction are provided below. Each student will select one of the topics from the list. Most of the topics includes papers that provide necessary background. The student would then be required to research and identify at least three academic papers for and three papers against the topic. Please note these papers will be in addition to the ones listed below for the topic. You will be asked to take a position either for or against the topic and argue your position based on the literature collected. As part of your argument, you would be asked to demonstrate using coding o.
This chapter discusses multiplication and division facts. It includes 10 lessons: relating multiplication and division; algebra properties; facts through 5; problem solving skills; facts through 10; multiplying with 11 and 12; problem solving investigations; multiplying three numbers; factors and multiples; and prime and composite numbers. The lessons provide examples and practice with multiplication and division concepts and skills.
The document discusses kinds of proportions and solving problems involving proportions. It defines ratio and proportion, and explains that a proportion shows two ratios that are equal. There are three main kinds of proportions: direct proportion, where variables increase or decrease together; inverse proportion, where one variable increases as the other decreases; and partitive proportion, where a quantity is divided into parts proportional to a given ratio. The document provides examples and explanations of each kind of proportion to help the reader understand how to identify and solve different types of proportional relationships.
Kostiantyn Omelianchuk, Oleksandr Skurzhanskyi "Building a state-of-the-art a...Fwdays
In this talk, we will look at the current state (post-BERT era) of GEC and share our experience of building the state-of-the-art system to perform this task. We will talk about the pros and cons of different architectures and compare inference times.
Unit 6 presentation base ten equality form of a number with trainer notes 7.9.08jcsmathfoundations
The document discusses concepts related to base ten, equality, and forms of numbers. It defines these concepts, examines how students develop an understanding through research on cognitive development, and provides classroom applications and strategies for teaching these concepts effectively. Diagnostic questions are presented to assess student understanding, and examples show how to respond to common student errors or misconceptions in working with numbers.
Exercises for pupils in primary education(0 4)-enGeorgeta Manafu
The document discusses teaching methods and tools for presenting pseudocode language to students. It provides:
- Keywords used in pseudocode like read, write, if, then, else, while, and for to define instructions. Algorithms start with "Algorithm name" and end with "Stop".
- Examples of read-write instructions using keywords read and write to input and output data.
- Exercises for students to practice using pseudocode keywords and instructions like reading numbers, writing outputs, and comparing values in if statements.
- Discussion of theoretical concepts like assigning values, expressions, variables, and data types to introduce in pseudocode programming.
This document provides information about solving and graphing inequalities using the properties of inequality. It defines inequalities and their solution sets. It introduces the addition, subtraction, multiplication, and division properties of inequality, explaining how these properties can be used to solve inequalities and determine if resulting inequalities are equivalent. It provides examples of solving and graphing various inequalities using these properties.
The document discusses operational excellence and provides a guidebook on key principles and tools. It begins by noting the need for organizations to improve productivity and excellence due to competitive pressures. It then discusses how operational excellence combines various theories and methodologies to achieve excellence. The guidebook aims to compile important principles and tools from various sources into a concise desktop reference to help embed an operational excellence philosophy.
1. This module discusses illustrating and graphing linear inequalities in two variables. It contains lessons, activities, and tests to help students learn and apply related concepts.
2. Activities include matching mathematical sentences to inequalities, determining properties of inequalities, and solving a word problem involving a linear inequality in two variables representing the number of face masks and face shields an online seller would need to sell to make at least Php 2,000.
3. A linear inequality in two variables can be written as an expression involving two variables separated by addition or subtraction, with an inequality symbol and a constant on the right side, such as the example given: 35x + 75y ≥ 2,000.
1) The document contains notes from a math class covering solving one-step inequalities using addition, subtraction, multiplication, and division. It includes examples of writing verbal phrases for inequalities and graphing the solutions.
2) Properties of inequalities are discussed, including the addition, subtraction, multiplication, and division properties. It is noted that multiplying or dividing an inequality by a negative number flips the inequality.
3) Students are assigned to practice solving inequalities using these properties and graphing the solutions.
This document provides a lesson plan on sums and differences of decimals. It includes student learning outcomes, lesson notes, examples, exercises and solutions for students to practice adding and subtracting decimals. The key points are rounding addends to estimate sums and differences, understanding place value when lining up decimals, and determining when converting fractions to decimals makes a problem easier to solve. Students will apply rounding and estimation skills to add and subtract decimals in various word problems.
SCSJ3553 - Artificial Intelligence Final Exam paper - UTMAbdul Khaliq
This document contains a 14-page AI exam with multiple choice, short answer, and structured questions. It tests knowledge of search techniques, knowledge representation, production systems, and other AI concepts. The exam is divided into sections on true/false questions, short explanations, and longer structured questions involving search algorithms, knowledge representation diagrams, and production systems examples.
This guide provides a refresher on basic computer programming concepts without using a specific programming language. It defines key terms like variables, which represent values that can change throughout a program, and statements, which are the smallest standalone elements a computer can understand. It also explains functions and methods as named sets of instructions that can be reused, and parameters as values passed into functions. Finally, it outlines different data types like integers, doubles, strings, and booleans that variables can take on to store different kinds of values.
The document provides information about rational numbers including their general form, examples of rational numbers, operations on rational numbers and their properties.
It defines a rational number as any number that can be expressed as a ratio of two integers. All integers and fractions are rational numbers.
The key properties of operations on rational numbers are discussed - addition, subtraction, multiplication and division can have closure, commutative, associative properties in some cases but not in others.
Several videos and activities are suggested to help teach and reinforce rational numbers concepts like representing them on a number line, comparing and ordering, finding rational numbers between two rationals and more.
The document describes a probability task given to 7th grade students. Most students were able to fill out a table of outcomes when given rules for rolling a number cube and coin. However, many struggled with identifying prime numbers, calculating probabilities, and using probabilities to determine expected outcomes in a game. The task aimed to assess if students could apply probability concepts to explain why a game with different rules for each player was fair. Fewer than 10% of students met all requirements of the task. The document discusses implications for teaching probability with more experiences using games and simulations.
Pyramid Printing Company publishes magazines, catalogs, and retail.docxmakdul
Pyramid Printing Company publishes magazines, catalogs, and retail inserts for distribution in large metropolitan-area newspapers. Its largest customer is the New York News Company, for which Pyramid prints sales fliers and coupon inserts.
Pyramid has contractual agreements with its customers; its present pricing strategy is cost-plus, and customers also agree to a yearly price escalation based on inflation. Pyramid completes the escalation based on cost-of-operations increases.
Recently, Obelisk Publishing proposed a bid to the New York News Company for alternative pricing to counter Pyramid Printing’s contract, which will be up for renewal. To compete with the bid from Obelisk, Pyramid will have to employ target costing.
For this discussion:
· What are the differences between cost-plus and target-costing approaches to developing appropriate pricing? Give advantages and disadvantages of each.
· Are there elements of the value chain that Pyramid may leverage in order to optimize target costing for a mature customer relationship?
Required:
Half to one page only with 2 references
Math 5th Grade
Lesson Plan
Tami Martin
CUR/520
December 12, 2016
Dr. Molly Dyer
Standard #
Cognitive Complexity (DOK level) / Learning goal w/ language objective
MAFS.5.NBT.2.5
Fluently multiply multi-digit whole numbers using the standard algorithm (DOK1)
MAFS.5.NBT.2.6
Find whole number quotients of whole numbers with up to 4 digit dividends and 2 digit divisors, using strategies based on place value, the properties of operations, and / or the relationship between multiplication and division. Illustrate and explain the calculations by using equations, rectangular arrays, and/or area models. (DOK2)
Unit Scale
4.0
Examples of students independently working beyond what was taught in class may include, but are not limited to:
· Creating an EXCEL spreadsheet that categorizes types of multiplication and division problems based on product unknown, group size unknown and group number unknown.
3.0
The students will
· Fluently multiply multi-digit whole numbers (not to exceed 5 digits by 2 digits) using the standard algorithm
· Find whole number quotients of whole numbers with up to 4 digit dividends and 2 digit divisors, using strategies based on place value, the properties of operations, and or the relationship between multiplication and division. Illustrate and explain the calculations by using equations, rectangular arrays, and/or area models.
2.0
The students will
· Multiply multi digit whole numbers (not to exceed 5 digits by 2 digits) using a variety of strategies.
· Find whole number quotients of whole numbers with up to 4 digit dividends and 1 digit divisors using a variety of strategies.
1.0
With help, the students will
· Multiply 5 digit whole numbers by 1 digit whole numbers
· Find whole number quotients of whole numbers with up to 3 digit dividends and 1 digit divisors, using a variety of strategies.
Day 1
Day 2
Day 3
Learning Goal w/ Language ...
This document provides lessons on dividing fractions. It begins with the learning competencies and standards for dividing simple fractions and mixed fractions. Examples are provided to demonstrate how to divide fractions by other fractions or whole numbers. The steps are to get the reciprocal of the divisor, apply cancellation if possible, then multiply the numerators and denominators. Mixed numbers should first be converted to improper fractions before dividing. Multiple choice questions assess understanding of dividing fractions. The assignment involves dividing the total amount of wax Mang Ambo has into portions for making candles.
Math 107 College AlgebraName Olufemi Akinyemi Final Examination F.docxalfredacavx97
Math 107 College AlgebraName Olufemi Akinyemi Final Examination: Fall, 2019Instructor: Dr.K. Thengumthara Answer Sheet
Instructions:
This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator.
Record your answers and work in this document. There are 30 problems.
Problems #1-12 are multiple choice. Record your choice for each problem. Problems #13-21 are short answer. Record your answer for each problem.
Problems #22-30 are short answer with work required. When requested, show all work and write all answers in the spaces allotted on the following pages. You may type your work using plain- text formatting or an equation editor, or you may hand-write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages.You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Your exam will receive a zero grade unless you complete the following honor statement.
Please sign (or type) your name below the following honor statement:
I have completed this final examination myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this final examination.
NameDate
Math 107 Final Examination
Fall, 2019
1
MULTIPLE CHOICE. Record your answer choices.
1.7.
2.8.
3.9.
4.10.
5.11.
6.12.
SHORT ANSWER. Record your answers below.
13.
14.
15.
16.
17.
18.
19. (a) (b) (c)
20.(a)
(b)
(c)
(d)
21. (a) (b) (c) (d)
SHORT ANSWER with Work Shown. Record your answers and work.
Problem Number
Solution
22
Answers:
(a)
(b)
Work/for part (a) and explanation for part (b):
23
Answers:
(a)
(b)
(c)
Work for part (a):
24
Answer:
Work:
25
Answer:
Work:
26
Answers:
(a)
(b)
Work for part (a) and for part (b):
27
Answer:
Work:
28
Answer:
Work:
29
Answers: (a)
(b)
Work for (b):
30
Answer:
Work:
Research Paper Guidelines
Due Date: Nov 29th, 2019
An important activity in this course will involve writing a research paper in APA format. This is an exercise in argumentation. This paper will be between 5 - 7 pages in size single-spaced. A list of topics related to software construction are provided below. Each student will select one of the topics from the list. Most of the topics includes papers that provide necessary background. The student would then be required to research and identify at least three academic papers for and three papers against the topic. Please note these papers will be in addition to the ones listed below for the topic. You will be asked to take a position either for or against the topic and argue your position based on the literature collected. As part of your argument, you would be asked to demonstrate using coding o.
This chapter discusses multiplication and division facts. It includes 10 lessons: relating multiplication and division; algebra properties; facts through 5; problem solving skills; facts through 10; multiplying with 11 and 12; problem solving investigations; multiplying three numbers; factors and multiples; and prime and composite numbers. The lessons provide examples and practice with multiplication and division concepts and skills.
The document discusses kinds of proportions and solving problems involving proportions. It defines ratio and proportion, and explains that a proportion shows two ratios that are equal. There are three main kinds of proportions: direct proportion, where variables increase or decrease together; inverse proportion, where one variable increases as the other decreases; and partitive proportion, where a quantity is divided into parts proportional to a given ratio. The document provides examples and explanations of each kind of proportion to help the reader understand how to identify and solve different types of proportional relationships.
Kostiantyn Omelianchuk, Oleksandr Skurzhanskyi "Building a state-of-the-art a...Fwdays
In this talk, we will look at the current state (post-BERT era) of GEC and share our experience of building the state-of-the-art system to perform this task. We will talk about the pros and cons of different architectures and compare inference times.
Unit 6 presentation base ten equality form of a number with trainer notes 7.9.08jcsmathfoundations
The document discusses concepts related to base ten, equality, and forms of numbers. It defines these concepts, examines how students develop an understanding through research on cognitive development, and provides classroom applications and strategies for teaching these concepts effectively. Diagnostic questions are presented to assess student understanding, and examples show how to respond to common student errors or misconceptions in working with numbers.
Exercises for pupils in primary education(0 4)-enGeorgeta Manafu
The document discusses teaching methods and tools for presenting pseudocode language to students. It provides:
- Keywords used in pseudocode like read, write, if, then, else, while, and for to define instructions. Algorithms start with "Algorithm name" and end with "Stop".
- Examples of read-write instructions using keywords read and write to input and output data.
- Exercises for students to practice using pseudocode keywords and instructions like reading numbers, writing outputs, and comparing values in if statements.
- Discussion of theoretical concepts like assigning values, expressions, variables, and data types to introduce in pseudocode programming.
This document provides information about solving and graphing inequalities using the properties of inequality. It defines inequalities and their solution sets. It introduces the addition, subtraction, multiplication, and division properties of inequality, explaining how these properties can be used to solve inequalities and determine if resulting inequalities are equivalent. It provides examples of solving and graphing various inequalities using these properties.
The document discusses operational excellence and provides a guidebook on key principles and tools. It begins by noting the need for organizations to improve productivity and excellence due to competitive pressures. It then discusses how operational excellence combines various theories and methodologies to achieve excellence. The guidebook aims to compile important principles and tools from various sources into a concise desktop reference to help embed an operational excellence philosophy.
1. This module discusses illustrating and graphing linear inequalities in two variables. It contains lessons, activities, and tests to help students learn and apply related concepts.
2. Activities include matching mathematical sentences to inequalities, determining properties of inequalities, and solving a word problem involving a linear inequality in two variables representing the number of face masks and face shields an online seller would need to sell to make at least Php 2,000.
3. A linear inequality in two variables can be written as an expression involving two variables separated by addition or subtraction, with an inequality symbol and a constant on the right side, such as the example given: 35x + 75y ≥ 2,000.
1) The document contains notes from a math class covering solving one-step inequalities using addition, subtraction, multiplication, and division. It includes examples of writing verbal phrases for inequalities and graphing the solutions.
2) Properties of inequalities are discussed, including the addition, subtraction, multiplication, and division properties. It is noted that multiplying or dividing an inequality by a negative number flips the inequality.
3) Students are assigned to practice solving inequalities using these properties and graphing the solutions.
This document provides a lesson plan on sums and differences of decimals. It includes student learning outcomes, lesson notes, examples, exercises and solutions for students to practice adding and subtracting decimals. The key points are rounding addends to estimate sums and differences, understanding place value when lining up decimals, and determining when converting fractions to decimals makes a problem easier to solve. Students will apply rounding and estimation skills to add and subtract decimals in various word problems.
SCSJ3553 - Artificial Intelligence Final Exam paper - UTMAbdul Khaliq
This document contains a 14-page AI exam with multiple choice, short answer, and structured questions. It tests knowledge of search techniques, knowledge representation, production systems, and other AI concepts. The exam is divided into sections on true/false questions, short explanations, and longer structured questions involving search algorithms, knowledge representation diagrams, and production systems examples.
SCSJ3553 - Artificial Intelligence Final Exam paper - UTM
8R-wk15(Nov30-Dec4)
1. 0 1 2 3 4
Even with help, I don’t understand. With help, I kind ofunderstand I get it, but I can’t explain it. I get it, and I can explain it to others.
I get it, I can explain it to others, and I can
produce original content.
WK 15 Nov 30-Dec 4 Climbing the Scale
GO Math 7.1 pp. 197-202 GO Math 7.1 pp. 197-202 GO Math 7.2 pp. 203-208 GO Math 7.2 pp. 203-208 GO Math 7.3 pp. 209-214
EQs: W²BAT: How can
you represent and
solveequations
with the variableon
both sides?
EQs: W²BAT: How
can you
represent and
solveequations
with the variable
on both sides?
EQs: W²BAT: How can
you solve
equations with
rational number
coefficients and
constants?
EQs: W²BAT: How can
you solveequations
with rational
number coefficients
and constants?
EQs: W²BAT: How do you
use the Distributive
Property to solve
equations?
LG Module 7 Learning
Goal: Students willbe
able to solve
equations from one-
step to multi-step
equations &
determine how many
solutions the equation
has.
LG Module 7 Learning
Goal: Students
will be able to
solve equations
from one-step to
multi-step
equations &
determine how
manysolutions the
equation has.
LG Module 7 Learning
Goal: Students will
be able to solve
equations from one-
step to multi-step
equations &
determine how
manysolutions the
equation has.
LG Module 7 Learning
Goal: Students willbe
able to solve
equations from one-
step to multi-step
equations &
determine how many
solutions the equation
has.
LG Module 7 Learning
Goal: Students willbe
able to solve equations
from one-step to multi-
step equations &
determine how many
solutions the equation
has.
MAFS:
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samplequestions
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Lesson:
MAFS.8.EE.3.7
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CPALM sample
questions for
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benchmark
Lesson:
MAFS.8.EE.3.7
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aid in getting tonext
level
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on link to open
CPALM sample
questions for
each
benchmark
Lesson:
MAFS.8.EE.3.7
SCALE-this link will aid
in getting to nextlevel
MAFS Click
on link to open
CPALM sample
questions for
each
benchmark
Lesson:
MAFS.8.EE.3.7
SCALE-this link will aidin
getting to next level
MAFS Click
on link to open
CPALM sample
questions for
each
benchmark
Lesson:
MAFS.8.EE.3.7
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getting to next level
Background
Materials:
GO Math 7.1
pp. 197-202
pencil
notebook
clipboard
Vocabulary:
DistributiveProperty,
Linear Equation inOne
Variable,Solution,
Coefficient, Common
Denominator,Constant,
Equation,Integers, Least
Common Multiple,
Operations, Solution,
Variable
Background
Materials:
GO Math 7.1
pp. 197-202
pencil
notebook
clipboard
Vocabulary:
DistributiveProperty,
Linear Equation in
One Variable,
Solution, Coefficient,
Common
Denominator,
Constant,
Equation,Integers,
Least Common
Multiple,Operations,
Solution,
Variable
Background
Materials:
GO Math 7.2
pp. 203-208
pencil
notebook
clipboard
Vocabulary:
DistributiveProperty,
Linear Equation inOne
Variable,Solution,
Coefficient, Common
Denominator,
Constant,
Equation,Integers,
Least Common
Multiple,Operations,
Solution,
Variable
Background
Materials:
GO Math 7.2
pp. 203-208
pencil
notebook
clipboard
Vocabulary:
DistributiveProperty,
Linear Equation inOne
Variable,Solution,
Coefficient, Common
Denominator,Constant,
Equation,Integers, Least
Common Multiple,
Operations, Solution,
Variable
Background
Materials:
GO Math 7.3
pp. 217-222
pencil
notebook
clipboard
Vocabulary:
DistributiveProperty,
Linear Equation inOne
Variable,Solution,
Coefficient, Common
Denominator,Constant,
Equation,Integers, Least
Common Multiple,
Operations, Solution,
Variable
2. ENGAGE
Materials:
GO Math 7.1
pp. 197-202
pencil
notebook
clipboard
Preview LESSON 7.1
WHOLEGROUP: Use
NOTES to record EQ, LG,
and status check
Motivate theLessonAsk:
How can you use zero
pairs to help you solvean
equation?
(x, 0) and (0, y)
ENGAGE
Materials:
GO Math 7.1
pp. 197-202
pencil
notebook
clipboard
WHOLEGROUP: Use
NOTES to record EQ,
LG, and status check
ENGAGE
Materials:
GO Math 7.2
pp. 203-208
pencil
notebook
clipboard
HW Successand
Challenges
WHOLEGROUP: Use
NOTES to record EQ,
LG, and status check
Motivate theLesson:
ASK: How can I get rid
offractions in an
equation?
ENGAGE
Materials:
GO Math 7.2
pp. 203-208
pencil
notebook
clipboard
HW Successand
Challenges
WHOLEGROUP: Use
NOTES to record EQ, LG,
and status check
ENGAGE
Materials:
GO Math 7.3
pp. 209-214
pencil
notebook
clipboard
HW Successand
Challenges
WHOLEGROUP: Use
NOTES to record EQ, LG,
and status check
EXPLORE
Materials
GO Math 7.1
pp. 197-202
pencil
notebook
clipboard
TEXT p. 197
EXPLORE ACTIVITY
Model showing steps
to combine like terms
then solve for
variable. Use line to
show both sides
receive same.
X+ 5 = 3x - 1
EXPLORE
Materials
GO Math 7.1
pp. 197-202
pencil
notebook
clipboard
CENTERS
Work on
completing listed
center per group.
Due on Friday.
EXPLORE
Materials
GO Math 7.2
pp. 203-208
Model how to use
LCMto eliminate
fractions in an
equation.
EXPLORE
Materials
GO Math 7.2
pp. 203-208
CONTINUE:
Connect to solving Two-
Step equations. Model
3(d-4) =36
EXPLORE
Materials
GO Math 7.3
pp. 209-214
Write theequation in
Example 1Aontheboard.
Ask kids ifthey think they
can solveanequationwith
parentheses.What
additional steps mightbe
involved?
EXPLAIN
Materials
GO Math 7.1
pp. 197-202
pencil
notebook
clipboard
Catch and release
TEXT p. 198
EXAMPLE#1-VIDEO
MODEL-
How does themethod
used to get the variable
terms on onesideofthe
equation compare tothe
method usedto getthe
constant terms onone
side of the equation?
YOUR TURN
TEXT p. 199
EXAMPLE#2-VIDEO
MODEL
How do you know that
the right sideofthe
equation couldnotbe a
situationthatcharges an
initialfee?
What does thevariablex
representin the given
real-world situation?
YOUR TURN
ELABORATE
Materials
GO Math 7.1
pp. 197-202
pencil
notebook
clipboard
Catch and release
REQUIREMENTS
ORANGE: Skills,
Sequence, Text8-13
RED: : Skills,
Sequence, TEXT9-13
GREEN: Sequence,
TEXT 13-15
BLUE: Sequence,
Practice C
PURPLE:Sequence,
A/B
ALL: QUIZ B, USA
Test Prep*, FSA
Review*, Digital
Text*
*ALL computer
centers can be
completed using
BYOD. Remember
your log-in
information and
earbuds.
EXPLAIN
Materials
GO Math 7.2
pp. 203-208
TEXT p. 203
EXAMPLE#1-VIDEO
MODEL-PMT
Why must you
multiplybothsides of
the equation by the
LCM?
Your Turn-PMT
TEXT p. 204
Example #2-VIDEO
MODEL: PMT
Which brotheris
representedby the
expression 0.2r+0.75?
Name and describe
the property thatis
used on theleft sideof
the equation inStep 2.
Your Turn-PMT
Make sure that
students understand
that the variable
represents
EXPLAIN
Materials
GO Math 7.2
pp. 203-208
Catch and release
REQUIREMENTS
ORANGE: Skills,
Sequence, Text14-16
RED: : Skills,Sequence,
TEXT 16-18
GREEN: Sequence, TEXT
19-21
BLUE: Sequence,Practice
D
PURPLE:Sequence, A/B
ALL: QUIZ B, USATest
Prep*, FSAReview*,
Digital Text*
*ALL computercenters
can be completedusing
BYOD. Rememberyour
log-in informationand
earbuds.
EXPLAIN
Materials
GO Math 7.3
pp. 209-214
Catch and release
TEXT p. 209
EXAMPLE#1-VIDEO
MODEL:PMT
Why is it necessary to
apply the Distributive
Property beforeisolating
the variableon oneside?
YOUR TURN-PMT
TEXT P. 210
EXAMPLE#2-VIDEO
MODEL:PMT
Why are fractions
eliminatedbefore applying
the DistributiveProperty?
YOUR TURN-PMT
3. ELABORATE
Materials
GO Math 7.1
pp. 197-202
pencil
notebook
clipboard
TEXT p.200
GUIDED PRACTICE-PMT
#1-5
Modeling
Ask: What is themethod
for solving anequation
with the same variable
on both sides ofthe
equation?
Avoid Common Errors
Exercise1 Remind kids
that their model should
involve making 0 pairs.
An x on one sideanda -x
on the otheris not an
exampleof a 0 pair.
Exercise5 Remind kids
that the equation shows
expressions that involve
subtraction,sotheir
situationshould involve
some decreasefrom a
total amount.
ELABORATE
Materials
GO Math 7.1
pp. 197-202
pencil
notebook
clipboard
Catch and release
REQUIREMENTS
ORANGE: Skills,
Sequence, Text8-13
RED: : Skills,
Sequence, TEXT9-13
GREEN: Sequence,
TEXT 13-15
BLUE: Sequence,
Practice C
PURPLE:Sequence,
A/B
ALL: QUIZ B, USA
Test Prep*, FSA
Review*, Digital
Text*
*ALL computer
centers can be
completed using
BYOD. Remember
your log-in
information and
earbuds.
ELABORATE
Materials
GO Math 7.2
pp. 203-208
TEXT p. 205
EXAMPLE#3-VIDEO
MODEL: PMT
If you are creating a
situationaboutrates,
which numbers inthe
equation youaregiven
will represent the
rates?
YOUR TURN-PMT
TEXT p. 206
#1-8: PMT
Avoid Common Errors
Exercises 2–7 Remind
students that the
solutionofan
equation can bea
decimalor a fraction,
even though they
eliminatedfractions or
decimals from the
originalequation.
ELABORATE
Materials
GO Math 7.2
pp. 203-208
TEXT p. 220
GUIDED PRACTICE
Whole group2-5
Avoid Common Errors
Exercises 4, 5 Remind
students that they have
to check eachvalueto
see ifit makes the
inequality true,because
inequalities can have
more thanonesolution.
ELABORATE
Materials
GO Math 7.3
pp. 209-214
Catch and release
TEXT p. 211
EXAMPLE#3-VIDEO
Model:-PMT
Would multiplying the
entire equationby 10
before using the
DistributiveProperty be
another way tosolvethis
equation? Justify your
answer.
YOUR TURN-PMT
TEXT p. 212
GUIDED PRACTICE-PMT
Avoid Common Errors
Exercises 3, 6–10Students
may applythenegative
sign to only the firstterm
when distributing. Remind
students that negative
factors mustbe
distributed tobothterms
within theparentheses.
Exercises 7–10Remind
students toeliminatethe
fractions beforeusing
inverseoperations.
EVALUATE
Materials
GO Math 7.1
pp. 197-202
pencil
notebook
clipboard
WHOLE GROUP
REVISIT. Use MIMIO--
write in notes. EQ, LG,
Status Check Recording
p. 200 #6
EVALUATE
Materials
GO Math 7.1
pp. 197-202
pencil
notebook
clipboard
WHOLE GROUP
REVISIT. Use MIMIO--
write in notes. EQ,
LG, Status Check
Recording
EVALUATE
Materials
GO Math 7.2
pp. 203-208
WHOLE GROUP
REVISIT. Use MIMIO--
write in notes. EQ, LG,
Status Check
Recording
TEXT p. 206 #9
EVALUATE
Materials
GO Math 7.2
pp. 203-208
WHOLE GROUP
REVISIT. Use MIMIO--
write in notes. EQ, LG,
Status Check Recording
TEXT p. 220 #7
EVALUATE
Materials
GO Math 7.3
pp. 209-214
WHOLE GROUP
REVISIT. Use MIMIO--
write in notes. EQ, LG,
Status Check Recording
CENTERS DUE
Homework ORANGE: #7
RED: #8
GREEN: 9-11
BLUE: 12
PURPLE: 13-15
ALL: USA TESTPREP
MOD 7
Homework ORANGE: 8, 9-11
RED: 9-11, 13
GREEN: 13-15
BLUE: 13-15
PURPLE: Practice
ALL: USA TESTPREP
MOD 7
Homework ORANGE: 10-12
RED: 13-15
GREEN: 14-16
BLUE: 16-18
PURPLE: 19-21
ALL: USA TESTPREP
MOD 7
Homework ORANGE: 14-16
RED: 16-18
GREEN: 19-21
BLUE: Story Problem
PURPLE: Story Problem
ALL: USA TESTPREP
MOD 7
Homework USA Test Prep
Digital Text-7.1-7.3
FSA Review
4. Asmt Teacher Observation Asmt Teacher Observation Asmt Teacher Observation Asmt Teacher Observation Asmt Teacher Observation
Differentiation Encourage tothink aloud Differentiation Encourage tothink
aloud
Differentiation Apply to reallife
situations
Differentiation Students explain orally Differentiation Encourage tothink aloud
Kag: Pairs check Kag: Pairs check Kag: Pairs Compare Kag: Pairs Compare Kag: Pairs check
ELL Use cooperative learning ELL Use cooperative
learning
ELL Use cooperative
learning
ELL Use cooperative learning ELL Explain directionsclearly
and repeat key terms
and/or wordsto look for
Marzano Strategy 9. Chunking Marzano
Strategy
21. Organizing for
cognitivecomplexity
Marzano
Strategy
9. Chunking Marzano
Strategy
21. Organizing for
cognitivecomplexity
Marzano
Strategy
9. Chunking
Specific 504 andIEP
Accommodations
Lesson 7.1
MIMIO notes (10 copies),
graphing paper
Small Group,
Chunking,
Oral retelling ofdirections andnext
step
Lesson 7.2
MIMIO notes (10 copies),
graphing paper
Small Group,
Chunking,
Oral retelling ofdirections andnext
step
Lesson 7.3
MIMIO notes (10 copies),
graphing paper
Small Group,
Chunking,
Oral retelling ofdirections and
next step
CENTERS
MIMIO notes (10 copies),
Graph paper
Small Group,
Chunking,
Oral retelling ofdirections and
next step
ASSESSMENT
MIMIO notes (10
copies),
Graph paper
Small Group,
Chunking,
Oral retelling of
directions andnext step
Additional accommodations specific to situations.
Webb’s Depth of Knowledge What will I do to bring my students there
Procedural Level 1 Fluency
Conceptual Level 2 Understanding
Application Levels 3,4 Apply to real world problems
Illuminations.com CPALMS.com LearnZillion.com Inside Mathematics Illustrativemathematics.org Mathopolis.com
CPALM limits for assessments
• MAFS.8.EE.3.7 state that numbers initems mustberational numbers.
Presentation of Material Environment
Time Demands Materials
Attention Using Groups and Peers
Assisting the Reluctant Starter Dealing w ith Inappropriate Behavior