Lesson 8T ~ Understanding Integers
|
|
- Louisa Stone
- 5 years ago
- Views:
Transcription
1 Lesson 8T ~ Understanding Integers Name Period Date Find the opposite of each number Graph the number 3 and its opposite. 6. Graph the following integers on the number line: 8, 5, 0, and 4 7. Which of the following are integers? Circle your answers Find each absolute value = 9. 7 = = Write an integer to represent each situation. 11. A diver dove 9 feet under the surface of the ocean. 1. Jack climbed up 00 stairs. 13. Nina owes her sister $ Name the integer represented by each point. C B A D A = B = C = D = 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
2
3 Lesson 9T ~ Comparing Integers Name Period Date 1. Graph and 5 on the number line. a. Which number is bigger (further to the right on the number line)? b. Complete the statement using < or >: 5. Graph 1 and 3 on the number line. a. Which number is bigger (further to the right on the number line)? b. Complete the statement using < or >: 1 3 Complete the statement using < or > Order the integers from least to greatest. 6. 7, 1, 0, , 1, 3, , 8, 4, , 5, 17, Copy and complete each statement using <, > or = SM C Curriculum Oregon Focus on Rational Numbers & Equations
4
5 Lesson 10T ~ Adding Integers Name Period Date Use a number line to find each sum ( ) =. 7 + ( 3) = = 4. + ( 5) = ( 6) = 6. + ( 1) = ( 5) = = ( 7) = ( 9) = 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
6 11. Ken withdrew $15 from his account on Thursday and then deposited $10 in his account on Friday. a. Which number should be negative? b. Write an addition problem for this situation. + c. What integer represents the total change in his account over the last two days? 1. Kelly was in a two-day golf tournament. On the first day, her score was 3. On the second day, her score is 4. What is her overall score for the entire tournament? 13. Leeza climbed 8 stairs and then went down 19 stairs. What integer represents her total change in stair height? 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
7 Lesson 11T ~ Subtracting Integers Name Period Date Use a number line to find each difference = Write as an addition problem by adding the opposite. + Find the sum using the number line:. ( 3) = Write as an addition problem by adding the opposite. + Find the sum using the number line: = Write as an addition problem by adding the opposite. + Find the sum using the number line: 4. 1 ( ) = Write as an addition problem by adding the opposite. + Find the sum using the number line: = Write as an addition problem by adding the opposite. + Find the sum using the number line: 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
8 Find each difference by adding the opposite = 7. 4 ( 1) = 8. 4 = = ( 3) = ( 1) = = ( 6) = = 15. Write a subtraction problem that involves two positive integers and has a negative answer. = 16. Write a subtraction problem that involves two negative integers and has a negative answer. = 17. Write a subtraction problem that involves two negative integers and has a positive answer. = 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
9 Lesson 1T ~ Multiplying Integers Name Period Date Model each product using a number line. 1. (3) =. 4(1) = 3. ( 4) = = + = = + + = Find each product. 4. 5() = 5. 4( 1) = 6. 3(6) = 7. 4( 5) = 8. 3( 11) = 9. 1() = (6) = 11. 4( ) = 1. 8( 4) = 13. 9(3) = 14. ( 7) = 15. 6( 6) = 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
10 16. Josh lost pounds every week for 6 weeks. What integer represents the change in Josh s weight during that time? = pounds 17. Jake is making iced tea. He has ice cubes which he uses to cool the iced tea. Each ice cube lowers the temperature of the liquid by 3º F. He adds 4 ice cubes to the tea. What integer represents the change in temperature of the iced tea? = º F 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
11 Lesson 13T ~ Dividing Integers Name Period Date Shade in the sign of the answer = + or. 8 4 = + or ( 3) = + or 4. 5 ( 5) = + or Find each quotient = = = ( 5) = 9. 1 ( 3) = = = 1. 8 ( ) = = ( 7) = 15. ( ) = = 17. Joy added ice cubes to her lemonade. The change in temperature of her lemonade was 10º F. If she added 5 ice cubes, what integer represents the change in temperature per ice cube? = 18. Pat takes the same amount from his bank account every week. Over the last 4 weeks he has withdrawn $36. What integer represents the weekly change in his bank account? = 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
12
13 Lesson 14T ~ Powers and Exponents Name Period Date a. What number repeats? b. How many times does it repeat? c. Write a power for this expression: Write the numerical expression as a power = 3. ( 11)(11)(11) = 4. ( 3)( 3)( 3)( 3) = = Will the value of each power will be + or? ( 3) 9. 4 ( 6) 3 10 Write each power in expanded form and find the value Expanded Form: 11. ( 5) Expanded Form: Value: Value: Expanded Form: ( 3) Expanded Form: Value: Value: 14. Determine which power has the greater value: a. What is the value of ( 3)? b. What is the value of c. Which is greater, 3? ( 3) or 3? ( 3) or Compare the two powers by filling in the circle with <, > or =. 5 ( 5) 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
14
15 Lesson 15T ~ Order of Operations Name Period Date 1. Number the operations in the order they should be performed (#1 #4) Grouping Symbols Addition & Subtraction Multiplication & Division Powers. Rewrite the operations listed in Exercise 1 in order from the first to the last. #1 # #3 #4 3. Use the expression: 5(4 + 1) 4 a. Add the numbers in the parentheses. Rewrite the new expression: b. Find the value of the power. Rewrite the new expression: c. Do the multiplication. Rewrite the new expression: d. Subtract the final two numbers. What is the value of the expression? Find the value of each expression. Show all work. Circle your answer (3 + 1) SM C Curriculum Oregon Focus on Rational Numbers & Equations
16 Find the value of each expression. Show all work. Circle your answer. 6. ( 3 + 5) 1 7. (5 9) ( + 1) (3 + 1) 10. Four friends go to the movies. Each movie ticket costs $8. They buy tubs of popcorn for $6 each. They also buy a box of candy to share for $4. The friends want to split the total cost evenly. How much does each friend owe? 008 SM C Curriculum Oregon Focus on Rational Numbers & Equations
NAME DATE PERIOD. A negative exponent is the result of repeated division. Extending the pattern below shows that 4 1 = 1 4 or 1. Example: 6 4 = 1 6 4
Lesson 4.1 Reteach Powers and Exponents A number that is expressed using an exponent is called a power. The base is the number that is multiplied. The exponent tells how many times the base is used as
More informationAccentuate the Negative - Unit Test Review Sheet
Name: Class: _ Date: _ Accentuate the Negative - Unit Test Review Sheet Short Answer 1. A football team loses an average of 3 yards per play. How many yards have they lost after 4 plays? Write a number
More informationChapter Two. Integers ASSIGNMENT EXERCISES H I J 8. 4 K C B
Chapter Two Integers ASSIGNMENT EXERCISES. +1 H 4. + I 6. + J 8. 4 K 10. 5 C 1. 6 B 14. 5, 0, 8, etc. 16. 0 18. For any integer, there is always at least one smaller 0. 0 >. 5 < 8 4. 1 < 8 6. 8 8 8. 0
More informationLesson 4: Efficiently Adding Integers and Other Rational Numbers
Lesson 4: Efficiently Adding Integers and Other Rational Numbers Classwork Example 1: Rule for Adding Integers with Same Signs a. Represent the sum of 3 + 5 using arrows on the number line. i. How long
More information{...- 4, - 3, - 2, - 1, 0, 1, 2, 3, 4,...}
Introduction to Integers (2.1) Integers are the set of whole numbers and their opposites. {...- 4, - 3, - 2, - 1, 0, 1, 2, 3, 4,...} Example: The highest elevation in North America is Mt. McKinley, which
More information6 th Grade - TNREADY REVIEW Q3 Expressions, Equations, Functions, and Inequalities
6 th Grade - TNREADY REVIEW Q3 Expressions, Equations, Functions, and Inequalities INSTRUCTIONS: Read through the following notes. Fill in shaded areas and highlight important reminders. Then complete
More information1.1 Variables and Expressions How can a verbal expression be translated to an algebraic expression?
1.1 Variables and Expressions How can a verbal expression be translated to an algebraic expression? Recall: Variable: Algebraic Expression: Examples of Algebraic Expressions: Different ways to show multiplication:
More informationName: Math 9. Comparing & Ordering Rational Numbers. integers (positive or negative numbers, no decimals) and b 0
Page 1 Ch.2- Rational Numbers 2.1 Name: Math 9 What is a rational number? Comparing & Ordering Rational Numbers A number that can be expressed as a b (a fraction), where a and b are integers (positive
More informationUNIT 5 INEQUALITIES CCM6+/7+ Name: Math Teacher:
UNIT 5 INEQUALITIES 2015-2016 CCM6+/7+ Name: Math Teacher: Topic(s) Page(s) Unit 5 Vocabulary 2 Writing and Graphing Inequalities 3 8 Solving One-Step Inequalities 9 15 Solving Multi-Step Inequalities
More informationALGEBRA 1 SUMMER ASSIGNMENT
Pablo Muñoz Superintendent of Schools Amira Presto Mathematics Instructional Chair Summer Math Assignment: The Passaic High School Mathematics Department requests all students to complete the summer assignment.
More informationRULE: Add integers with the same sign by adding the absolute values and using the common sign.
7.2.4 Lesson Date Efficiently Adding Integers Student Objectives I understand the rules for adding integers: Add integers with the same sign by adding the absolute values and using the common sign. Add
More information1)Write the integer that represents the opposite of each real-world. situation. In words, write the meaning of the opposite.
1) Write the integer that represents the opposite of each real-world situation. In words, write the meaning of the opposite. a. Example: An atom s positive charge of 7 Opposite: An atom s negative charge
More informationChapter 2 INTEGERS. There will be NO CALCULATORS used for this unit!
Chapter 2 INTEGERS There will be NO CALCULATORS used for this unit! 2.2 What are integers? 1. Positives 2. Negatives 3. 0 4. Whole Numbers They are not 1. Not Fractions 2. Not Decimals What Do You Know?!
More information+ 37,500. Discuss with your group how do you THINK you would represent 40 degrees below 0 as an integer?
6.1 Integers *I can use positive and negative numbers to show amounts in real-world situations and explain what the number 0 means in those situations. *I can recognize opposite signs of numbers as indicating
More information2) If an athletic conference has 12 teams and each of the teams plays each of the other teams, how many games will there be?
Pre-Algebra Review Worksheet Final Exam Mr. Cierech Name: Date: Chapter 1: Number Patterns 1) Find the next three numbers in the sequence: a) 4, 9, 14, 19, 4... b) 16, 8, 4,, 1, ) If an athletic conference
More informationMathematics Pacing. Instruction: 9/7/17 10/31/17 Assessment: 11/1/17 11/8/17. # STUDENT LEARNING OBJECTIVES NJSLS Resources
# STUDENT LEARNING OBJECTIVES NJSLS Resources 1 Describe real-world situations in which (positive and negative) rational numbers are combined, emphasizing rational numbers that combine to make 0. Represent
More informationINTRODUCTION TO INTEGERS
1 INTRODUCTION TO INTEGERS A. WHAT IS AN INTEGER? Integers are numbers made from natural numbers. On a number line, the arrows on either side of it would extend in opposite directions to include integers.
More informationSection 1 - Introduction to Integers
Pre Algebra Unit 1 Unit 1 Integers Objective Overview The following is a small subset of possible problems that could represent each objective. Refer to notes, homework and reviews for a more complete
More information1-1. Variables and Expressions. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary
- Variables and Expressions Vocabulary Review What mathematical operation is shown in each equation? Write addition, subtraction, multiplication, or division.. 6? 2 5 2 2. 4 2 4 5 0. 27 4 5 9 4. 7 5 20
More informationACTIVITY: Simplifying Algebraic Expressions
. Algebraic Expressions How can you simplify an algebraic expression? ACTIVITY: Simplifying Algebraic Expressions Work with a partner. a. Evaluate each algebraic expression when x = 0 and when x =. Use
More informationIn notes, handouts, tests shaded is Positive and non-shaded (white) is Negative
Thursday, October 15th 2015 Unit 2 Integers Review of Grade 7 In your text book Yellow is Positive and Red is Negative In notes, handouts, tests shaded is Positive and non-shaded (white) is Negative Remember
More informationUNIT 3: INTEGERS. Mónica Cárceles Alemán. IES Rector don Francisco Sabater García Positive and negative integers
UNIT 3: INTEGERS 3.1. Positive and negative integers There are many situations in which you need to use numbers below zero, one of these is temperature, others are money that you can deposit (positive)
More informationIntroduction to Negative Numbers and Computing with Signed Numbers
Section 6. PRE-ACTIVITY PREPARATION Introduction to Negative Numbers and Computing with Signed Numbers In the previous five chapters of this book, your computations only involved zero and the whole numbers,
More informationFoundations for Algebra. Introduction to Algebra I
Foundations for Algebra Introduction to Algebra I Variables and Expressions Objective: To write algebraic expressions. Objectives 1. I can write an algebraic expression for addition, subtraction, multiplication,
More informationWords to Review. Give an example of the vocabulary word. Numerical expression. Variable. Evaluate a variable expression. Variable expression
1 Words to Review Give an example of the vocabulary word. Numerical expression 5 12 Variable x Variable expression 3x 1 Verbal model Distance Rate p Time Evaluate a variable expression Evaluate the expression
More information2.1 Using Models to Multiply Integers (pp )
Math 8 Unit 2 Notes Name: 2.1 Using Models to Multiply Integers (pp. 64-69) We can think of multiplication as repeated addition. 5 x3 is the same as adding five 3s: 3 +3 +3 +3 +3 As a sum: 3 +3 +3 +3 +3
More informationPre-Algebra. Guided Notes. Unit thru 3-6, 4-3b. Equations
Pre-Algebra Guided Notes Unit 4 3-1 thru 3-6, 4-3b Equations Name Lesson 3-1 Distributive Property Distributive Property used to multiply a number by a sum or difference a(b + c) = Write an equivalent
More informationWrite an equation for each relationship. Then make a table of input-output pairs and tell whether the function is proportional.
Functions Reteaching 41 Math Course, Lesson 41 A function is a rule that identifies a relationship between a set of input numbers and a set of output numbers. A function rule can be described in words,
More informationWords to Review. Give an example of the vocabulary word. Numerical expression. Variable. Variable expression. Evaluate a variable expression
1 Words to Review Give an example of the vocabulary word. Numerical expression 5 1 Variable x Variable expression 3x 1 Verbal model Distance Rate p Time Evaluate a variable expression Evaluate the expression
More informationLesson 1C ~ The Four Operations
Lesson C ~ The Four Operations Find the value of each expression. Show all work.. 8 + 7 3. 3 0 3. + 3 8 6 + 8 8. 7 + 6 + 0. Mike hosted a fundraiser to benefit the Children s Hospital and the Cancer Societ.
More informationTopic 16 - Radicals. 1. Definition of a Radicals
Topic 16 - Radicals 1. Definition of a Radicals Definition: In Mathematics an efficient way of representing repeated multiplication is by using the notation a n, such terms are called exponentials where
More informationAdding and Subtracting Integers. How can you use addition and subtraction of integers to solve real-world problems?
UNIT 1 Study Guide Review? MODULE 1 ESSENTIAL QUESTION Adding and Subtracting Integers How can you use addition and subtraction of integers to solve real-world problems? Key Vocabulary additive inverse
More informationThe number line model shown below explains that the opposite of 2 2 is a sum of two rational numbers.
7..7 and 9 Lesson Date Addition and Subtraction of Rational Numbers Student Objectives I recognize that the rules for adding and subtracting integers apply to rational numbers. Given a number line, I can
More informationMATCHING. Match the correct vocabulary word with its definition
Name Algebra I Block UNIT 2 STUDY GUIDE Ms. Metzger MATCHING. Match the correct vocabulary word with its definition 1. Whole Numbers 2. Integers A. A value for a variable that makes an equation true B.
More informationMath 7 Homework # 46 M3 L1
Name Date Math 7 Homework # 46 M3 L1 Lesson Summary Terms that contain exactly the same variable symbol can be combined by addition or subtraction because the variable represents the same number. Any order,
More informationPrint & Go. math practice. FREE from The Curriculum Corner.
Print & Go math practice FREE from The Curriculum Corner My Math Practice Book Rounding Numbers Directions: Round each number to the place of the underlined digit. 6,482 8,205 48,018 32,905 51,103 85,828
More informationNEW ENGLAND COMMON ASSESSMENT PROGRAM
NEW ENGLAND COMMON ASSESSMENT PROGRAM Released Items Support Materials 2013 Grade 7 Mathematics N&O 6.1 Demonstrates conceptual understanding of rational numbers with respect to ratios (comparison of two
More informationAre You Ready? Write each verbal expression as an algebraic expression more than m 2. r increased by 5
Are You Ready? Write each verbal expression as an algebraic expression. 1. 5 more than m 2. r increased by 5 3. 25 minus q 4. the difference of 20 and t 5. the sum of v and 8 6. the product of 4 and w
More informationWriting and Graphing Inequalities
.1 Writing and Graphing Inequalities solutions of an inequality? How can you use a number line to represent 1 ACTIVITY: Understanding Inequality Statements Work with a partner. Read the statement. Circle
More informationName: Class: Date: ID: A
Name: Class: Date: ID: A 6A Short Answer Solve the equation. 1.!5d! 24 =!4(d + 6)! d Write the inequality for the graph. 2. 3. 4. 5. Solve the inequality. 6. p + 7
More informationStudy Guide and Intervention
NAME DATE PERIOD Study Guide and Intervention Adding Integers For integers with the same sign: the sum of two positive integers is positive. the sum of two negative integers is negative. For integers with
More informationAlgebra 1 Fall Semester Final Review Name
It is very important that you review for the Algebra Final. Here are a few pieces of information you want to know. Your Final is worth 20% of your overall grade The final covers concepts from the entire
More informationChapter 1 Review Exercises
Chapter 1 Review Exercises Fill in each blank with the word or phrase that correctly completes the sentence. 1. 0 (zero) is the additive. (1.1) 2. Whole numbers and their opposites make up the set of.
More informationGrade 6 Mathematics Item Specifications Florida Standards Assessments
MAFS.6.EE Expressions and Equations s MAFS.6.EE.1 Apply and extend previous understandings of arithmetic to algebraic expressions. MAFS.6.EE.1.1 Write and evaluate numerical expressions involving whole-number
More informationUsing Properties of Exponents
6.1 Using Properties of Exponents Goals p Use properties of exponents to evaluate and simplify expressions involving powers. p Use exponents and scientific notation to solve real-life problems. VOCABULARY
More informationLesson 22 ~ Expressions and Equations
Lesson ~ Expressions and Equations Write an algebraic expression for each phrase. 1. the product of x and seven. the sum of 8 and p. two more than the product of y and four. the quotient of k and ten Evaluate
More informationInequalities. and Graphing Inequalities 4.3 Solving Inequalities Using. What would you have?
Inequalities.1 Writing ii in and Graphing Inequalities. Solving Inequalities Using Addition or Subtraction. Solving Inequalities Using Multiplication or Division. Solving Two-Step Inequalities If you reached
More informationLesson 8 ~ Recursive Routines
Lesson 8 ~ Recursive Routines Find the missing values in each sequence. Identif the start value and the operation that must be performed to arrive at the net term.., 7,,, 6,,.,,,, 7,,,. 7,, 7,, 7,,.,,
More informationEngage NY MODULE 3 LESSON 2: GENERATING EQUIVALENT EXPRESSIONS
Engage NY MODULE 3 LESSON 2: GENERATING EQUIVALENT EXPRESSIONS "Grade 7 Mathematics Module 3." Grade 7 Mathematics Module 3. 9 Sept. 2014. Web. 26 Jan. 2015. .
More informationG6-M3-Lesson 1: Positive and Negative Numbers on the Number Line Opposite Direction and Value
G6-M3-Lesson 1: Positive and Negative Numbers on the Number Line Opposite Direction and Value 1. Draw a number line, and create a scale for the number line in order to plot the points 1, 3, and 5. a. Graph
More informationName. Use Two-Color Counters to model each addition problem. Make pairs of red and yellow counters. Find the sum.
Lesson 1 The Number System Name Use Two-Color Counters to model each addition problem. Make pairs of red and yellow counters. Find the sum. 1. 2. 9 + ( 10) 18 + 9 Using Two-Color Counters, model each addition
More informationReview: Expressions and Equations
Review: Expressions and Equations Expressions Order of Operations Combine Like Terms Distributive Property Equations & Inequalities Graphs and Tables Independent/Dependent Variables Constant: a number
More informationIntroduction to Integers
Introduction to Integers Get the Point? Lesson 7-1 Integers and the Number Line Lesson Targets: Use integers to represent quantities in real-world contexts. Position and identify integers on a number line.
More informationFair Game Review. Chapter 4. x > Name Date. Graph the inequality. 5. x 2.3
Name Date Chapter 4 Fair Game Review Graph the inequality. 1. x < 3 2. x 5 3. x 2 4. x > 7 5. x 2.3 6. x > 2 5 7. The deepest free dive by a human in the ocean is 417 feet. The depth humans have been in
More informationFLORIDA STANDARDS TO BOOK CORRELATION
FLORIDA STANDARDS TO BOOK CORRELATION Domain: Ratios and Proportional Relationships 6.RP.1.1 After a standard is introduced, it is revisited many times in subsequent activities, lessons, and exercises.
More information< 31. > A PENNY 11. A BREATH m m 2.
.6 Start Thinking! For use before Lesson.6 Sample answer: 1. You can multiply the quotient by the divisor and compare it to the dividend.. You can do the division a second time to make sure that you get
More informationLesson 2: Introduction to Variables
Lesson 2: Introduction to Variables Topics and Objectives: Evaluating Algebraic Expressions Some Vocabulary o Variable o Term o Coefficient o Constant o Factor Like Terms o Identifying Like Terms o Combining
More informationLESSON 9.1 ROOTS AND RADICALS
LESSON 9.1 ROOTS AND RADICALS LESSON 9.1 ROOTS AND RADICALS 67 OVERVIEW Here s what you ll learn in this lesson: Square Roots and Cube Roots a. Definition of square root and cube root b. Radicand, radical
More information2-1 Integers and Absolute Value
Write an integer for each situation. Identify its opposite and describe its meaning. 1. a bank withdrawal of $500 500; +500 or 500; a deposit of $500 2. a gain of 4 pounds +4 or 4; 4; a loss of 4 pounds
More informationUnit 7: Factoring Quadratic Polynomials
Unit 7: Factoring Quadratic Polynomials A polynomial is represented by: where the coefficients are real numbers and the exponents are nonnegative integers. Side Note: Examples of real numbers: Examples
More informationLesson 1: Positive and Negative Numbers on the Number Line Opposite Direction and Value
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 1 6 3 Lesson 1: Positive and Negative Numbers on the Number Line Opposite Direction and Value 1. If zero lies between aa and dd, give one set of possible values
More informationLESSON 6.1 EXPONENTS LESSON 6.1 EXPONENTS 253
LESSON 6.1 EXPONENTS LESSON 6.1 EXPONENTS 5 OVERVIEW Here's what you'll learn in this lesson: Properties of Exponents Definition of exponent, power, and base b. Multiplication Property c. Division Property
More informationWe extend our number system now to include negative numbers. It is useful to use a number line to illustrate this concept.
Negative Numbers.1 Negative Numbers We extend our number system now to include negative numbers. It is useful to use a number line to illustrate this concept. 1 9 8 7 6 5 4 2 1 1 2 4 5 6 7 8 9 1 Note:
More informationMath Class: Algebra I. Summer Review Packet DUE DATE:
Name: 2014-15 Math Class: Algebra I Summer Review Packet DUE DATE: About Algebra I Algebra I teaches students to think, reason, and communicate mathematically. Students use variables to determine solutions
More informationGrade 8 Please show all work. Do not use a calculator! Please refer to reference section and examples.
Grade 8 Please show all work. Do not use a calculator! Please refer to reference section and examples. Name Date due: Tuesday September 4, 2018 June 2018 Dear Middle School Parents, After the positive
More informationExponents. Reteach. Write each expression in exponential form (0.4)
9-1 Exponents You can write a number in exponential form to show repeated multiplication. A number written in exponential form has a base and an exponent. The exponent tells you how many times a number,
More informationRon Paul Curriculum Mathematics 8 Lesson List
Ron Paul Curriculum Mathematics 8 Lesson List 1 Introduction 2 Algebraic Addition 3 Algebraic Subtraction 4 Algebraic Multiplication 5 Week 1 Review 6 Algebraic Division 7 Powers and Exponents 8 Order
More informationAcademic Algebra 2. Algebra 1 Review
Academic Algebra On the following pages you will find a review of the Algebra concepts needed to successfully complete Academic Algebra. Concepts such as fractions, solving equations, inequalities, absolute
More informationPolynomials. Exponents. End Behavior. Writing. Solving Factoring. Graphing. End Behavior. Polynomial Notes. Synthetic Division.
Polynomials Polynomials 1. P 1: Exponents 2. P 2: Factoring Polynomials 3. P 3: End Behavior 4. P 4: Fundamental Theorem of Algebra Writing real root x= 10 or (x+10) local maximum Exponents real root x=10
More informationDeveloped in Consultation with Virginia Educators
Developed in Consultation with Virginia Educators Table of Contents Virginia Standards of Learning Correlation Chart.............. 6 Chapter 1 Expressions and Operations.................... Lesson 1 Square
More informationThe Celsius temperature scale is based on the freezing point and the boiling point of water. 12 degrees Celsius below zero would be written as
Prealgebra, Chapter 2 - Integers, Introductory Algebra 2.1 Integers In the real world, numbers are used to represent real things, such as the height of a building, the cost of a car, the temperature of
More informationEDULABZ INTERNATIONAL NUMBER SYSTEM
NUMBER SYSTEM 1. Find the product of the place value of 8 and the face value of 7 in the number 7801. Ans. Place value of 8 in 7801 = 800, Face value of 7 in 7801 = 7 Required product = 800 7 = 00. How
More informationLesson 3.5 Exercises, pages
Lesson 3.5 Exercises, pages 232 238 A 4. Calculate the value of the discriminant for each quadratic equation. a) 5x 2-9x + 4 = 0 b) 3x 2 + 7x - 2 = 0 In b 2 4ac, substitute: In b 2 4ac, substitute: a 5,
More informationCourse 1 Unit 2 Practice
Course 1 Unit Practice Lesson 7-1 1. Model with mathematics. Identify the integer at each point. M N P Q R S 4. Make use of structure. a. Can a positive rational number be an integer? Explain. Give an
More informationMATH 60 Course Notebook Chapter #1
MATH 60 Course Notebook Chapter #1 Integers and Real Numbers Before we start the journey into Algebra, we need to understand more about the numbers and number concepts, which form the foundation of Algebra.
More informationChapter 2. Real Numbers and Monomials. 8/2016 LSowatsky 1
Chapter 2 Real Numbers and Monomials 8/2016 LSowatsky 1 2.1.A Powers and Exponents Main Idea: Use powers and exponents to write large and small numbers. LSowatsky 2 LSowatsky 3 Example: Write each expression
More informationMath 7 Notes Unit 1: Integers
Integers are defined as the set of whole numbers {0, 1, 2, } and their opposites. One way to show this is listing its members like this {...,, 2, 1, 0, 1, 2,, } or more simply {, -1, 0 +1, } or describing
More informationMath 8 Notes Units 1B: One-Step Equations and Inequalities
Math 8 Notes Units 1B: One-Step Equations and Inequalities Solving Equations Syllabus Objective: (1.10) The student will use order of operations to solve equations in the real number system. Equation a
More informationNumbers and Operations Review
C H A P T E R 5 Numbers and Operations Review This chapter reviews key concepts of numbers and operations that you need to know for the SAT. Throughout the chapter are sample questions in the style of
More informationWork with a partner. How can you show that ( 1)( 1) = 1?
. Multiplying and Dividing Rational Numbers numbers positive? Why is the product of two negative rational In Section., you used a table to see that the product of two negative integers is a positive integer.
More informationPowers and Exponents Mrs. Kornelsen
Powers and Exponents Mrs. Kornelsen Lesson One: Understanding Powers and Exponents We write 5 + 5 + 5 + 5 as 5 4 How do we write 8 + 8 + 8 + 8 + 8? How do you think we write 7 7 7? This is read as seven
More informationGrade 6 Mathematics Unit 4 Expressions and Equations. Topic D Inequalities. Name: Mrs. Archacki
Notes Packet #12 Grade 6 Mathematics Unit 4 Expressions and Equations Topic D Inequalities Name: Mrs. Archacki 1 Topic Objectives By the end of this topic you will be able to write inequalities. graph
More informationMath 6 Notes Unit 02: Introduction to Algebra
Math 6 Notes Unit 0: Introduction to Algebra Evaluating Algebraic Expressions NEW CCSS 6.EE.b Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient);
More informationSchool District of Palm Beach County. Summer Packet Algebra EOC Review
School District of Palm Beach County Summer Packet Algebra EOC Review Summer 2014 Students and Parents, This Summer Packet for Algebra 1 EOC Review is designed to provide an opportunity to review and remediate
More informationLesson 1: Writing Equations Using Symbols
COMMON CORE MATHEMATICS CURRICULUM Lesson 1 8 4 Lesson 1: Writing Equations Using Symbols Classwork Exercises Write each of the following statements using symbolic language. 1. The sum of four consecutive
More informationA.REI.B.3: Solve Linear Equations and Inequalities in One Variable.
A.REI.B.3: Solve Linear Equations and Inequalities in One Variable. EQUATIONS AND INEQUALITIES A.REI.B.3: Solving Linear Equations and Inequalities in One Variable B. Solve equations and inequalities in
More information7 = 8 (Type a simplified fraction.)
Student: Date: Assignment: Exponential and Radical Equations 1. Perform the indicated computation. Write the answer in scientific notation. 3. 10 6 10. 3. 4. 3. 10 6 10 = (Use the multiplication symbol
More informationAbsolute Value. Example 1. Strategy Graph the number and find its distance from 0 on a number line. Step 1 Graph the number on the number line.
Lesson 14 Absolute Value 6.NS.7.c, 6.NS.7.d 1 Getting the idea The absolute value of a number is its distance from 0 on a number line. 3 units 3 units 5 4 3 2 1 0 1 2 3 4 5 The integers 23 and 3 are each
More informationReteaching Using Deductive and Inductive Reasoning
Name Date Class Reteaching Using Deductive and Inductive Reasoning INV There are two types of basic reasoning in mathematics: deductive reasoning and inductive reasoning. Deductive reasoning bases a conclusion
More informationChapter Review. Connecting BIG ideas and Answering the Essential Questions. n+3 I n I 3 I r. 68 Chapter 1 Chapter Review
Chapter Review Connecting BIG ideas and Answering the Essential Questions 1 Variable You can use variables to represent quantities and to write algebraic expressions and equations. / Variables and Expressions
More information6.1 Using Properties of Exponents 1. Use properties of exponents to evaluate and simplify expressions involving powers. Product of Powers Property
6.1 Using Properties of Exponents Objectives 1. Use properties of exponents to evaluate and simplify expressions involving powers. 2. Use exponents and scientific notation to solve real life problems.
More informationMATH 190 KHAN ACADEMY VIDEOS
MATH 10 KHAN ACADEMY VIDEOS MATTHEW AUTH 11 Order of operations 1 The Real Numbers (11) Example 11 Worked example: Order of operations (PEMDAS) 7 2 + (7 + 3 (5 2)) 4 2 12 Rational + Irrational Example
More informationMath Departmental Exit Assessment Review (Student Version)
Math 006 - Departmental Exit Assessment Review (Student Version) Answer the question. 1) What does the digit 2 mean in the number 19,24? 2 thousands 2 hundreds 2 hundred thousands 2 tens Objective: (1.1)
More informationKEY TERMS inequality solve an inequality solution set Properties of Inequalities
Be Greater Than Solving Inequalities with Inverse 4 Operations WARM UP Graph each inequality on a number line. 1. x. 5. x $ 1 3. x, 6. 4. x # 9 LEARNING GOALS Solve and graph one- and two-step inequalities.
More informationMath 5 Review Stations #2. 1. Based on the order of operations, which is the first step in simplifying this expression?
Order of Operations No calculator Math 5 Review Stations #2. Based on the order of operations, which is the first step in simplifying this expression? 9 + (0 2) 4 A 9 + 0 B 0 2 C 2 4 D 4 2. What is the
More informationChapter 5 Inequalities
Chapter 5 Inequalities 5.1 Solve inequalities using addition and subtraction 1. Write and graph an inequality. 2. Solve inequalities using addition and subtraction. Review- Symbols to KNOW < LESS THAN
More informationChapter 7 - Exponents and Exponential Functions
Chapter 7 - Exponents and Exponential Functions 7-1: Multiplication Properties of Exponents 7-2: Division Properties of Exponents 7-3: Rational Exponents 7-4: Scientific Notation 7-5: Exponential Functions
More informationMy Math Plan Assessment #1 Study Guide
My Math Plan Assessment #1 Study Guide 1. Find the x-intercept and the y-intercept of the linear equation. 8x y = 4. Use factoring to solve the quadratic equation. x + 9x + 1 = 17. Find the difference.
More informationFOR STUDENTS WHO HAVE COMPLETED ALGEBRA 1 (Students entering Geometry)
FOR STUDENTS WHO HAVE COMPLETED ALGEBRA (Students entering Geometry) Dear Parent/Guardian and Student, Name: Date: Period: Attached you will find a review packet of skills which each student is expected
More informationUnit Essential Questions. How can you represent quantities, patterns, and relationships? How are properties of real numbers related to algebra?
Unit Essential Questions How can you represent quantities, patterns, and relationships? How are properties of real numbers related to algebra? Williams Math Lessons TARGET RATING 3 VARIABLES AND EXPRESSIONS
More information