030 unit ii
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This unit overview discusses fundamental integer operations, including the four basic arithmetic operations (addition, subtraction, multiplication, division) and order of operations. The objectives are for students to discuss integers, perform the four operations on integers, appreciate integers, gain knowledge about integers to prepare for algebra, and discuss order of operations. This unit contains lessons to skillfully perform integer operations and critically think through exercises to solve.
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This document provides information about a module on key concepts of functions for grade 11 general mathematics students. It includes an introductory message for teachers and learners, outlines what students are expected to learn, and provides some reminders for using the module. The module is divided into four lessons covering different topics related to functions, including representing real-life situations with functions, evaluating functions, operations on functions, and problem solving with functions.
Module 4 cognitive skills
This module focuses on expanding cognitive skills for starting a microenterprise business. It includes 3 lessons over 4 hours: (1) understanding divergent and convergent thinking through brainstorming exercises; (2) using critical, creative, and intuitive skills to analyze self and business venture choices; (3) objectively discussing the positives and negatives of a home-based business. The goal is for students to apply cognitive skills in exploring home-based business opportunities.
M11GM-Q1Module7.pdf
1. The document provides information about an 11th grade General Mathematics module on exponential functions, including the writers, editors, reviewers, and management team responsible for developing the module.
2. It explains that the module aims to help learners master solving exponential equations, inequalities, and problems involving exponential functions. It reviews key concepts like properties of exponents before presenting new lessons.
3. The module outlines that after going through it, learners will be able to solve exponential equations, inequalities, and problems involving exponential functions. It provides several examples to illustrate each of these skills.
M11GM-Q1Module7.pdf
1. The document is a module on exponential functions that provides instruction on solving exponential equations, inequalities, and problems involving exponential functions.
2. It reviews properties of exponents and introduces examples of solving exponential equations by using the one-to-one property of exponential functions.
3. Activities are included to classify expressions as exponential equations or inequalities and to identify common bases to write numbers in exponential form.
ORGANISATION AND MANAGEMENT
Here are the key points about the three management functions discussed so far:
- Planning involves setting goals and determining how to achieve them through decision making. It is the first function because we need a plan before organizing.
- Organizing is arranging work, authority, and resources among members so plans can be successfully carried out. It involves establishing an organizational structure.
- Leading involves motivating and influencing employees to achieve goals. It focuses on human and social aspects of management.
The fourth function, controlling, will ensure plans are being executed and goals are being achieved as intended. It involves monitoring performance, comparing it to standards, and taking corrective action.
The four functions are interrelated and equally important for achieving
TLE7_Q1_W1_BCNC (1).pdf
Here are the key points about tools and its classification:
- Tools are durable articles or implements used in nail care services.
- Tools are classified according to the task it will perform such as for manicure,
pedicure or both.
- Proper use and maintenance of tools ensures safety, hygiene and best service.
EQUIPMENT are the apparatus or devices used in nail care services which are not
hand-held. Equipment are also classified according to task requirements.
The common equipment used in manicure and pedicure are:
EQUIPMENT PICTURES
1. Manicure Table is where manicure
services are performed. It has storage
comp
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041 about the authors
Adriel G. Roman and Myrichel Alvarez are students at Laguna State Polytechnic University studying Bachelor of Secondary Education with a specialization in Mathematics. Adriel finished elementary school in Caloocan and high school in Balian. Myrichel completed elementary and high school in Siniloan, Laguna, where she is now studying at the university.
040 the whole module
The document provides information about mastering the fundamental operations of addition, subtraction, multiplication and division of whole numbers. It discusses addition in detail, including defining addition, identifying the parts of an addition problem, and the properties of addition like commutativity and associativity. It also introduces addition tables as a method to practice addition facts and provides worksheets with addition exercises for students to work on.
039 references
The document lists 12 image sources from websites like Google, Yahoo, and search engines for pictures and clip art related to mathematics, cartoons, and Looney Tunes characters. Book references are also provided on basic mathematics and algebra textbooks. The sources range from 2009 to 2010.
038 math and technology
The document presents a series of math puzzles that involve using a calculator to reveal letters, words, or answers to questions. The puzzles direct the reader to perform various math operations like division and addition on calculators, then turn the calculators upside down to view letters or numbers that spell out a word or provide an answer. It includes 7 puzzles for the reader to solve that follow this format of using a calculator to reveal a hidden message or response through mathematical calculations.
037 lesson 25
The document discusses the order of operations in mathematics, noting that operations inside parentheses should be performed first, then multiplication and division from left to right, followed by addition and subtraction from left to right. Several examples demonstrate evaluating expressions using these rules to avoid ambiguity and ensure only one correct solution. Precise use of order of operations is important for correctly solving arithmetic expressions with multiple operations.
036 lesson 24
The document discusses the rules for dividing integers. It states that if both integers have the same sign, divide the absolute value of the first integer by the absolute value of the second integer. If the integers have different signs, divide the absolute value of the first integer by the absolute value of the second integer and assign the result a negative sign. It provides examples to illustrate these rules and a worksheet for students to practice dividing integers.
035 lesson 23
The document discusses the rules for multiplying integers. It states that if two integers have the same sign, their product is positive, and if they have opposite signs, their product is negative. It also notes that if one or both integers being multiplied is 0, the product is 0. Examples are provided to illustrate multiplying integers with the same sign, opposite signs, and where one factor is 0. The rules are then generalized to multiplying more than two integers. An example problem demonstrates multiplying several integers together and determining the sign of the product based on the number of negative factors.
034 lesson 22
This document discusses subtracting integers and provides examples of how to perform integer subtraction. It explains that to subtract an integer, you convert the subtracted integer to its opposite and add the two numbers. It then gives several practice problems for students to solve by subtracting integers.
033 lesson 21
The document provides lesson objectives and rules for adding integers:
1) When adding integers with the same sign, add their absolute values and use the same sign for the result.
2) When adding integers with opposite signs, take the absolute values, subtract the smaller from the larger, and use the sign of the integer with the larger absolute value for the result.
3) The sum of any integer and its opposite integer is always zero.
032 lesson 20
The document defines integers as natural numbers including zero and their negatives. It explains that positive integers are whole numbers greater than zero, while negative integers are the opposites of positive integers. The number line is used to demonstrate that integers increase from left to right and how the absolute value of a number is always positive or zero.
029 lesson 19
The ski resort sold a total of 111,359 day ski tickets in January. To calculate the average number of tickets sold per day, the total number of tickets was divided by 31, the number of days in January. The average number of tickets sold per day was 3,589.
028 lesson 18
The document provides instructions on dividing whole numbers using the method of cancelling insignificant zeros. It defines cancelling insignificant zeros as removing the same number of trailing zeros from both the dividend and divisor when performing long division. The document includes examples of cancelling zeros when dividing numbers such as 300/100, 2500/100, and 38175/638175. It then provides a 20 question worksheet for students to practice dividing numbers using this method.
027 lesson 17
The document discusses different methods for dividing whole numbers, including division with remainders where the answer is not a whole number. It provides examples and steps to show how to calculate division problems and expresses the answer as a quotient with a remainder. Mental division strategies are also described, emphasizing knowing multiplication tables and the order of operations.
026 lesson 16
This document defines division and its key components. It discusses division as the inverse of multiplication, with division being described as repeated subtraction and multiplication as repeated addition. Examples are provided to illustrate division with a dividend, divisor, and quotient. Special cases of division by 1 and 0 are also explained. Division by 0 is said to be impossible.
025 chapter iv
Division is one of the fundamental mathematical operations that is explained in this chapter. It will cover the different parts of division and how it can be used to solve word problems. Mastering division is an important part of learning mathematics.
024 lesson 15
The document provides examples of word problems involving multiplication to calculate quantities over time or between groups. It gives step-by-step work for problems such as calculating the number of screws a machine can produce in an hour given its 1-minute rate, or the number of radios a store has if it bought a certain number of crates each containing a set quantity. The document includes practice problems for students to solve using multiplication, such as calculating total seats in a stadium based on the number of sections and rows.
022 lesson 13
This lesson introduces the "99 multiplier" shortcut for multiplying whole numbers mentally. It works by annexing zeros to the multiplicand equal to the number of 9s in the multiplier, then subtracting the original multiplicand. Examples show 999×364 equals 364,000 minus 364, which is 369,636. The lesson aims to help students appreciate exploring multiplication and the multiplication operation.
023 lesson 14
This lesson teaches students about multiplying numbers with factors that are powers of ten. It explains that when multiplying numbers where one factor is a power of ten, such as 10, 100, 1000, students should multiply the non-zero digits and add the appropriate number of zeros to the product based on the power of ten. Some examples are provided. It also notes that when both factors end in zeros, students should multiply the significant digits and use the total number of zeros in both factors for the product. A worksheet with practice problems is included for students.
021 lesson 12
Lesson 12 aims to teach students how to multiply whole numbers quickly and correctly. It introduces multiplication as a shortcut for repeated addition and shows students how to use a multiplication table to solve problems efficiently. Students are given examples and a worksheet to practice their multiplication skills. The objectives are for students to multiply whole numbers easily, develop speed in multiplication, and perform multiplication accurately.
021 lesson 11
The document discusses various properties of multiplication, including:
1) The identity property where multiplying any number by 1 leaves the number unchanged.
2) The zero property where multiplying any number by 0 equals 0.
3) The commutative property where changing the order of factors does not change the product.
It provides examples to illustrate each property and a worksheet for students to practice applying the properties.
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030 unit ii
- 1. -933450-942975<br /> <br />Overview In UNIT II, you will expect the concept of the basic fundamental operations dealing with the integers the concept, the nature and the difference between them. Likewise, the lessons provided in this unit will enable you to perform skillfully the four fundamental operations with integers. You will think much critically to perform the activities and to solve the exercises that will be given to you in this unit. This unit also contains precedence of operations which you can use in Algebra II.Objectives:After studying this unit, you are expected to:discuss the integers;use the fundamental operations in solving integers;appreciate the integers as a part of your discussion;gain more knowledge about integers that will guide you in the world of algebra;discuss the order of operation.<br />