Interpreting Rational Numbers
|
|
- Antonia Hart
- 5 years ago
- Views:
Transcription
1 Interpreting Rational Numbers Student book pages 4-8 jg5b Relate rational numbers to fractions and integers. You will need Iculator «« Math j Terms rational number A number that can be "Dressed as the quotient t iwo integers; it can De written in fraction, mixed-number, or decimal -orm, or as an integer. apposites ; Two numbers with opposite signs that are the ame distance from 0; for -: "ample, t-2 and -2 are pposites, and +0.5 and -0.5 are opposites. What rational number could represent position A on the number line above? Express the number in at least 2 forms. What rational number could represent position B on the number line above? Express the number in at least 2 forms. A and C are opposites. Determine the value of C, and label its position on the number line. 1 C = or - and D are opposites. Determine the value of D, and label its position on the number line. 0 = or - 1 j- A, B, C, and D are all rational numbers. Determine the value of a rational number between and -. Locate j and on the number line below. 0 Create a new scale on the number line by making 8 equal sections between 0 and 1. is a number between - and. Label the position of Eon the number line above. 2 Lesson 1.1: Interpreting Rational Numbers jpynqht « Nelson Education Ltd.
2 t as a fraction = n u m b f pfjectipris counted number of equal sections u as a decimal = Locate the opposite of E on the number line and label it F, Then determine its value. F = 0 Rachel looked at the thermometer outside. The temperature was between - 18T and -19"C. What might the temperature have been? A. The opposites of -18 and-19 are. and _..What is a rational number between these opposites? JO 40 B. What is a possible value for the rational number located at PI Explain. C. What other form of this rational number could you use to describe PI D. Place this rational number on the line below Math Terms mixed number., I 'Jin*,i' i. 1 M i. Tt r,,» «,inu!. - ; l i mii it improper traction 1 't ii n <r,,vh'.^>' i.i '! it f i I u< > i.' I JMlP-il: I, r r,11 if! i II i H H' 4 % ' ir/hjk HI Go back to the problem in part A. Locate another possible solution to this problem on the number line. Write your new solution in three different forms. Decimal: Mixed number: Improper fraction: Reflecting How do you know that there are always many rationals between two given rationals? Explain. ( opvnqht <o 2010 Nelson Education Ltd Lesson 1.1: Interpreting Rational Numbers
3 ,77Ty?Tfl (,, it.!' '! u. ' ; " Practising 7. Write each number as the quotient of two rational numbers.!l ' i 1 ii-'! f! I r l! '. a) 5,1 5,1 - r ^ ^ b) -4 i Think of the opposite first. f Therefore, -4 ^ = -. c) -.02 Think of the opposite first..02 = = Therefore, -.02 =. Write each number in decimal form. 2 a) 5 g 5-5 M2 -r 5) 5 = b) - 7 Think of the opposite first. 7 \ = 7 r ( - _ >\->+ Therefore, - / ~ = c) 12 IS! = 19 = I jsson t.l: aiterpretinu National Numbers jpynqnt 2U10 Nelson education Ltd.
4 9. Mark integers from - 10 to 2 on the number line below. Then estimate and mark the location of each rational number on the number line. c a) -~ Think of the opposite as a decimal. = is between and - ^ -, so it is between and b) 1 ~ 1 ~ is between and 1 ~ is closer to c) -7.2 Think of the opposite as a decimal. 7.2 is between and 7.2 is closer to -7.2 is between and but it is closer to 12. a) Name three fractions between and. We need a smaller scale than eighths for the denominator. Write and as equivalent fractions with a denominator of 2. 2 _, n r i = Can you name three fractions between these two equivalent fractions? b) How would your answers in part a) help you name three rational numbers between - and -? c) Are your answers in part a) rational numbers? Explain. topvnnht 2010 Nelson fcducation Ltd Lesson 1.1: Interpretina Rational Numbers 5
5 Name: Date; Chapter 1: Rational Numbers Page 6 Subtracting Integers To subtract integers, you can add the opposite. For example, for 10 - (-5), calculate = 15. You can use a number line to subtract integers by using an arrow that starts at the second integer, and then by extending it to the first integer. The length of the arrow is the difference between the second integer and the first integer. If the arrow points to the right, the difference is a positive integer. If the arrow points to the left, the difference is a negative integer. 16. Calculate. a) 6 - (-2) b) - - (-9) c) -8 - (+7) d) 1 - ( r5) e) -4 - (-10) f) 11 -(-1) Multiplying and Dividing Integers The product or quotient of two integers with the same sign is positive. For example, 5x4-20; -5 x ( --4) = 20; 20 ^ 5 = 4; -20 -r- -5 = 4. The product or quotient of two integers with different signs is negative. For example, - 5 x 4 = -20; 5 x (-4) = -20; 20 -J- -5 = -4; = Calculate. a) 16 - (-4) c) -7 x 4 e) (-10) h- (-2) b) -9 x (-) d) 6 - (-12) f) -5 x 6! 6 I Review of Essential Skills Masters Copyright O 2010 Nelson Education Ltd.
6 Name: Date: Chapter 1: Rational Numbers Pages Dividing Decimals To divide decimals, first multiply the dividend and divisor by the same multiple of 10 so that there are no decimals. Then divide as you would divide whole numbers. For example, to divide by 2.15, first multiply both numbers by 1000 to eliminate the decimals. Then divide: (0.645 X 1000) + (2.15 X 1000) Calculate. a) :- 2.5 b) C) s- 1.7 d) e) f) Adding Integers To add integers with the same sign, add and keep the sign. For example, to add -6 + (-9), add = 15. The addends were negative, so the sum is negative: -6 + (-9) = -15. To add integers with different signs, subtract and keep the sign of the larger. For example, to add 12 + (-8), subtract > 8, so the sum is positive: (-8) = 4. You can use a number line to add integers by representing the first integer with an arrow that starts at 0, and the second integer with an arrow that starts at the end of the first arrow. Positive integers are represented by arrows that point to the right. Negative integers are represented by arrows that point to the left. The sum of the integers is the endpoint of the second arrow. 14. Calculate. a) 5 + (-7) b) - + (-15) + 10 c) (-10) + (-) + 5 Opposites The opposite of an integer is the number that is the same distance from 0 on the number line, but in the opposite direction. For example, the opposite of +4 is Write the opposite of each integer, a) 12 b) -7 c) -15 d) 20 Copyright 2010 Nelson Education Ltd.
7 Name; ^,. Date: 1 Chapter 1: Rational Numbers Page 4 Adding and Subtracting Decimals Add or subtract decimals by adding or subtracting place by place..14 For example, to calculate , add the hundredths, the tenths, and the ones: Regroup as necessary. For example, to calculate , you'll need to regroup S?44 ones as 2 ones and 10 tenths and 1 tenth as 10 hundredths: Calculate. a) 2.15 f 4.2 c) 6.75 f.29 e) b) d) f) 9.14 f } Multiplying Decimals Multiply decimals as you would multiply whole numbers. Calculate partial products and then add to determine the product. For example, 2.11 x.4 First multiply 2.11 by 100 to avoid using two decimals: 2.11 X 100 = X.4 - (211 x ) f (211 X 0.4) Then divide by 100 to reverse the earlier multiplication: = Estimate to verify your answer. For example, 2x = 6. The answer must be close to 6, so is reasonable. 12. Calculate. a) 5.1 x 4.4 c) 8.18 x 2.05 e) 10.7 x 6.12 b) 7.42 x.1 d) 2.79 X 4. f) 9.2 X 1.8 ~~1 I Review of Essential Skills Masters CoQvriaht.'run Moi^n c^,.-,..
8 Name: Date: Chapter 1: Rational Numbers Page Adding and Subtracting Fractions with Unlike Denominators To add or subtract fractions, you should try to create equivalent fractions with a common denominator, so you can add the numerators or subtract one numerator from the other. For example, to calculate 5 +, both fractions can be rewritten as equivalents with a denominator of _ 5_ 4 _12 _5_ 12 5 r " 15 5 " Calculate. Multiplying Fractions Multiply fractions by multiplying numerator by numerator and denominator by denominator. For example, x \ 9. Calculate a) x - ' 4» 5 1 b) - x e - x n 4 f) - x - ' 8 5 Dividing Fractions To divide fractions, you can multiply by the reciprocal of the divisor. For example, i ^ 1 _ 4 _ A 1 ~ 5 You can also rename the fractions with like denominators and divide the numerators. For example, -r- \ = j Calculate Copyright 2010 Nelson Education Ltd. Rt'lftfM Sit
9 Chapter 1: Rational Numbers Page 2 Adding and Subtracting Fractions with Like Denominators Add or subtract fractions with like denominators by adding or subtracting the numerators and keeping the denominator. For example, {Q + JQ - JQ and - = \. 5. Calculate a) H - c) e) H ' 5 5 ' 8 8 ' u % 2 ^ 10 5 ^ 5 2 b) d) f) ; ' 9 9 ' Mixed Numbers Write a mixed number as an improper fraction by multiplying the whole number part by the denominator of the fraction and adding that number to the numerator. For example, 2\ = f because 2x4 = 8 and 1 +8 = 9. Write an improper fraction as a mixed number by dividing the numerator by the denominator to obtain the whole number part, and writing the remainder as a fraction. For example, I = if 5 '5 because 7 divided by 5 is 1 with a remainder of Write the mixed numbers as improper fractions, and then add or subtract. a, li + 2f c>9f-7 e> 6 l + 2f b, l-lf d,4 + 5l f ) 8 7T ~ 1 TT 7. Write the improper fractions as mixed numbers, and then add or subtract x 22 7, a) c) 1 e) ' 8 8 ' 9 9 ' x n 7 10 e ' T" T d ) 6 + T. 5 6 f»4 + 4 Review of Essential Skills Masters Convrinht a?nin woi.^r, CA..,-.*-.
10 Name: Date: Chapter 1: Rational Numbers Page 1 Equivalent Fractions and Decimals To write a fraction as a decimal, you can divide the numerator by the denominator. For example, = 4 -H 5 = Write as a decimal. a) -j b) - c)? It is easy to write a decimal as a fraction. Just write the digits after the decimal as the numerator with the place name as the denominator. For example, = j^. Then you can write the fraction in least terms by dividing the numerator and denominator by the same factor: 125 r 125 _ i Write as a fraction. a) 0.6 b) 0.25 c) 0.05 '' Equivalent fractions represent the same number. To write an equivalent fraction, multiply or divide both numerator and denominator by the same factor. For example, you can write 5 with a denominator of 12. Determine the factor to multiply the original denominator by to get the new denominator: x4 = 12, so = f. So, 5 and ^ are equivalent fractions.. Write each fraction as an equivalent fraction with a denominator of , a) - b) c) - d) ' 2 ' 16 ' 4 ' 24 Comparing Fractions and Decimals To compare fractions, write equivalent fractions with a common denominator and compare the numerators. For example, to compare I with 1, rename I as I and compare the numerators. > 2, so i ^ > a I To compare fractions and decimals, express both numbers as fractions or decimals and then compare. 4. Write <, >, or = to make the number sentence true. a ) D b)in c)faf d)0.d^ Copyright 2010 Nelson Education Ltd. Review ot Essential Skiilt Mn<r*rt I t I
Chapter 4 Section 2 Operations on Decimals
Chapter 4 Section 2 Operations on Decimals Addition and subtraction of decimals To add decimals, write the numbers so that the decimal points are on a vertical line. Add as you would with whole numbers.
More informationReteaching. Comparing and Ordering Integers
- Comparing and Ordering Integers The numbers and - are opposites. The numbers 7 and -7 are opposites. Integers are the set of positive whole numbers, their opposites, and zero. 7 6 4 0 negative zero You
More informationIntegers and Rational Numbers
A A Family Letter: Integers Dear Family, The student will be learning about integers and how these numbers relate to the coordinate plane. The set of integers includes the set of whole numbers (0, 1,,,...)
More informationStudy Guide For use with pages
. GOAL For use with pages Write fractions as decimals and vice versa. VOCABULARY A rational number is a number that can be written as a quotient of two integers. In a terminating decimal, the division
More informationName: Date: Review Packet: Unit 1 The Number System
Name: Date: Math 7 Ms. Conway Review Packet: Unit 1 The Number System Key Concepts Module 1: Adding and Subtracting Integers 7.NS.1, 7.NS.1a, 7.NS.1b, 7.NS.1c, 7.NS.1d, 7.NS.3, 7.EE.3 To add integers with
More informationCIV Module Unit Session Learning Objectives
CIV Module Unit Session Learning Objectives C IV Module: Essentials of Recognizing a Fraction 1. Learning that a fraction is a part of a whole through the use of area models C IV Module: Essentials of
More information50 MATHCOUNTS LECTURES (6) OPERATIONS WITH DECIMALS
BASIC KNOWLEDGE 1. Decimal representation: A decimal is used to represent a portion of whole. It contains three parts: an integer (which indicates the number of wholes), a decimal point (which separates
More informationor 5.00 or 5.000, and so on You can expand the decimal places of a number that already has digits to the right of the decimal point.
1 LESSON Understanding Rational and Irrational Numbers UNDERSTAND All numbers can be written with a For example, you can rewrite 22 and 5 with decimal points without changing their values. 22 5 22.0 or
More information6th Grade Arithmetic (with QuickTables)
6th Grade Arithmetic (with QuickTables) This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence
More informationThe Bracket Strategy
The Bracket Strategy This strategy will show students how common denominators are actually found. This strategy should be done with fraction bars. Step Create a bracket X Step Fill in the bracket with
More informationRational number operations can often be simplified by converting mixed numbers to improper fractions Add EXAMPLE:
Rational number operations can often be simplified by converting mixed numbers to improper fractions Add ( 2) EXAMPLE: 2 Multiply 1 Negative fractions can be written with the negative number in the numerator
More informationAdding Integers with the Same Sign
Name Date Class - Adding Integers with the Same Sign How do you add integers with the same sign? Add 4 5. Add 4. Step Check the signs. Are the integers both positive or negative? 4 and 5 are both positive.
More informationMS RtI Tier 3. Curriculum (107 topics + 91 additional topics)
MS RtI Tier 3 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular
More informationHOW TO DIVIDE: MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm. WORD DEFINITION IN YOUR WORDS EXAMPLE
MCC6.NS. Fluently divide multi-digit numbers using the standard algorithm. WORD DEFINITION IN YOUR WORDS EXAMPLE Dividend A number that is divided by another number. Divisor A number by which another number
More informationCourse Learning Outcomes for Unit I. Reading Assignment. Unit Lesson. UNIT I STUDY GUIDE Number Theory and the Real Number System
UNIT I STUDY GUIDE Number Theory and the Real Number System Course Learning Outcomes for Unit I Upon completion of this unit, students should be able to: 2. Relate number theory, integer computation, and
More informationAccuplacer Arithmetic Study Guide
Accuplacer Arithmetic Study Guide I. Terms Numerator: which tells how many parts you have (the number on top) Denominator: which tells how many parts in the whole (the number on the bottom) Example: parts
More information3.1 Dividing a Whole into Fractional Parts. 3.1 Dividing a Set into Fractional Parts. 3.2 Identifying Parts of Wholes.
. Dividing a Whole into Fractional Parts Fraction: represents a part of a whole object or unit Numerator: (top number) represents number of parts of the whole Denominator: (bottom number) represents how
More information1-3 Square Roots. Warm Up Lesson Presentation Lesson Quiz. Holt Algebra 2 2
1-3 Square Roots Warm Up Lesson Presentation Lesson Quiz 2 Warm Up Round to the nearest tenth. 1. 3.14 3.1 2. 1.97 2.0 Find each square root. 3. 4 4. 25 Write each fraction in simplest form. 5. 6. Simplify.
More informationAdding Integers. Unit 1 Lesson 6
Unit 1 Lesson 6 Students will be able to: Add integers using rules and number line Key Vocabulary: An integer Number line Rules for Adding Integers There are two rules that you must follow when adding
More informationCW Middle School. Math RtI 7 A. 4 Pro cient I can add and subtract positive fractions with unlike denominators and simplify the result.
1. Foundations (14.29%) 1.1 I can add and subtract positive fractions with unlike denominators and simplify the result. 4 Pro cient I can add and subtract positive fractions with unlike denominators and
More informationPre-Algebra Notes Unit Five: Rational Numbers and Equations
Pre-Algebra Notes Unit Five: Rational Numbers and Equations Rational Numbers Rational numbers are numbers that can be written as a quotient of two integers. Since decimals are special fractions, all the
More informationMATH LEVEL 2 LESSON PLAN 5 DECIMAL FRACTIONS Copyright Vinay Agarwala, Checked: 1/22/18
Section 1: The Decimal Number MATH LEVEL 2 LESSON PLAN 5 DECIMAL FRACTIONS 2018 Copyright Vinay Agarwala, Checked: 1/22/18 1. The word DECIMAL comes from a Latin word, which means "ten. The Decimal system
More informationLearning Log Title: CHAPTER 3: ARITHMETIC PROPERTIES. Date: Lesson: Chapter 3: Arithmetic Properties
Chapter 3: Arithmetic Properties CHAPTER 3: ARITHMETIC PROPERTIES Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Chapter 3: Arithmetic Properties Date: Lesson: Learning Log Title:
More informationMath Glossary Numbers and Arithmetic
Math Glossary Numbers and Arithmetic Version 0.1.1 September 1, 200 Next release: On or before September 0, 200. E-mail edu@ezlink.com for the latest version. Copyright 200 by Brad Jolly All Rights Reserved
More informationSection 2.3 Rational Numbers. A rational number is a number that may be written in the form a b. for any integer a and any nonzero integer b.
Section 2.3 Rational Numbers A rational number is a number that may be written in the form a b for any integer a and any nonzero integer b. Why is division by zero undefined? For example, we know that
More informationConcept Fourth Grade: Second Nine Weeks Readiness Standards Time Key Content Key Vocabulary
Multiplication by 2-Digit Numbers Concept Fourth Grade: Second Nine Weeks 14-15 Time Key Content Key Vocabulary 4.4C represent the product of 2 two-digit numbers using arrays, area models, or equations,
More informationFifth Grade Math Rubric
Operations and Algebraic Thinking Support Needed Progressing Meets Writes, solves, and interprets numerical expressions guidance with and/or inconsistently writes, solves, and interprets numerical expressions.
More informationPre-Algebra Notes Unit Five: Rational Numbers and Equations
Pre-Algebra Notes Unit Five: Rational Numbers and Equations Rational Numbers Rational numbers are numbers that can be written as a quotient of two integers. Since decimals are special fractions, all the
More informationMathematics LV 5 (with QuickTables)
Mathematics LV 5 (with QuickTables) This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence
More informationConcept Fourth Grade: Second Nine Weeks *Revised 5/21/15 Readiness Standards Time Key Content Key Vocabulary
Multiplication by 2-Digit Numbers Concept Fourth Grade: Second Nine Weeks 2015-2016 *Revised 5/21/15 Readiness Standards Time Key Content Key Vocabulary Supporting Standards 4.4C represent the product
More informationPre-Algebra Notes Unit Five: Rational Numbers and Equations
Pre-Algebra Notes Unit Five: Rational Numbers and Equations Rational Numbers Rational numbers are numbers that can be written as a quotient of two integers. Since decimals are special fractions, all the
More informationRational and Irrational Numbers
LESSON. Rational and Irrational Numbers.NS. Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion;... lso.ns.2,.ee.2? ESSENTIL QUESTION
More information3.3 Division of Fractions and of Mixed Numbers
CCBC Math 0 Division of Fractions and of Mixed Numbers Section.. Division of Fractions and of Mixed Numbers Introduction: http://youtu.be/fsdtivjjq What does it mean to divide? The basic division questions
More informationMath 6 Notes Unit 03 Notes: Decimals
Math 6 Notes Unit 03 Notes: Decimals Reading and Writing Decimals Syllabus Objective: (3.2) The student will translate written forms of fractions, decimals, and percents to numerical form. Decimals are
More informationMathematics LV 3 (with QuickTables)
Mathematics LV 3 (with QuickTables) This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence
More informationNotes for Unit 1 Part A: Rational vs. Irrational
Notes for Unit 1 Part A: Rational vs. Irrational Natural Number: Whole Number: Integer: Rational Number: Irrational Number: Rational Numbers All are Real Numbers Integers Whole Numbers Irrational Numbers
More informationI can statements for NBT 1-7 1st attempt 2nd attempt mastered
MATH NAME: I can statements for OA1-3 1st attempt Date 2nd attempt Date Mastered statement I can write expressions using parenthesis, brackets and braces based on wording such as add 5 and then divide
More informationChapter 1 Operations With Numbers
Chapter 1 Operations With Numbers Part I Negative Numbers You may already know what negative numbers are, but even if you don t, then you have probably seen them several times over the past few days. If
More informationDecimals. Chapter Five
Chapter Five Decimals 5.1 Introductions to Decimals 5.2 Adding & Subtracting Decimals 5.3 Multiplying Decimals & Circumference of a Circle 5.4 Dividing Decimals 5.5 Fractions, Decimals, & Order of Operations
More informationUNIT 6 OPERATIONS WITH DECIMALS
UNIT 6 OPERATIONS WITH DECIMALS INTRODUCTION In this Unit, we will use our understanding of operations, decimals, and place value to perform operations with decimals. The table below shows the learning
More information_ _ _ _ _ _. Add and Subtract Parts of a Whole R54. Name. Justin has 3_. How much cheese does he have in all?
Lesson 7.1 Add and Subtract Parts of a Whole Justin has 8pound of cheddar cheese and 2_ 8pound of brick cheese. How much cheese does he have in all? Step 1 Use fraction strips to model the problem. Use
More informationUnit: Rational Number Lesson 3.1: What is a Rational Number? Objectives: Students will compare and order rational numbers.
Unit: Rational Number Lesson 3.: What is a Rational Number? Objectives: Students will compare and order rational numbers. (9N3) Procedure: This unit will introduce the concept of rational numbers. This
More informationEXAMPLE 1. Change each of the following fractions into decimals.
CHAPTER 1. THE ARITHMETIC OF NUMBERS 1.4 Decimal Notation Every rational number can be expressed using decimal notation. To change a fraction into its decimal equivalent, divide the numerator of the fraction
More informationMathematics LV 4 (with QuickTables)
Mathematics LV 4 (with QuickTables) This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence
More informationFractions. Dividing the numerator and denominator by the highest common element (or number) in them, we get the fraction in its lowest form.
Fractions A fraction is a part of the whole (object, thing, region). It forms the part of basic aptitude of a person to have and idea of the parts of a population, group or territory. Civil servants must
More information4th Grade Math Scope & Sequence-June 2017
4th Grade Math Scope & Sequence-June 2017 Topic Strand Concept State Standard 1: Generalize Place Value Understanding * Read and write numbers in expanded form, with number names. * Recognize the relationship
More informationAdd and Subtract Parts of a Whole
Lesson 7. Add and Subtract Parts of a Whole Justin has _ pound of cheddar cheese and 2_ pound of brick cheese. How much cheese does he have in all? Step Use fraction strips to model the problem. Use three
More informationRational Number is a number that can be written as a quotient of two integers. DECIMALS are special fractions whose denominators are powers of 10.
PA Ch 5 Rational Expressions Rational Number is a number that can be written as a quotient of two integers. DECIMALS are special fractions whose denominators are powers of 0. Since decimals are special
More informationKNOWLEDGE OF NUMBER SENSE, CONCEPTS, AND OPERATIONS
DOMAIN I. COMPETENCY 1.0 MATHEMATICS KNOWLEDGE OF NUMBER SENSE, CONCEPTS, AND OPERATIONS Skill 1.1 Compare the relative value of real numbers (e.g., integers, fractions, decimals, percents, irrational
More informationPre-Algebra Notes Unit Five: Rational Numbers; Solving Equations & Inequalities
Pre-Algebra Notes Unit Five: Rational Numbers; Solving Equations & Inequalities Rational Numbers Rational numbers are numbers that can be written as a quotient of two integers. Since decimals are special
More informationLesson 1: THE DECIMAL SYSTEM
Lesson 1: THE DECIMAL SYSTEM The word DECIMAL comes from a Latin word, which means "ten. The Decimal system uses the following ten digits to write a number: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Each time
More informationLesson 1: Arithmetic Review
In this lesson we step back and review several key arithmetic topics that are extremely relevant to this course. Before we work with algebraic expressions and equations, it is important to have a good
More informationFUNDAMENTAL ARITHMETIC
FUNDAMENTAL ARITHMETIC Prime Numbers Prime numbers are any whole numbers greater than that can only be divided by and itself. Below is the list of all prime numbers between and 00: Prime Factorization
More informationTOPIC 2 DECIMALS (and INTRODUCTION TO FRACTIONS) WEEK 3
TOPIC DECIMALS (and INTRODUCTION TO FRACTIONS) WEEK 3 Association between Fractions and Decimals is a fraction. It means divided by. If we divide by the result is not a whole number. It is a half of whole
More informationMATHLINKS: GRADE 6 CORRELATION OF STUDENT PACKETS TO THE RESOURCE GUIDE
MATHLINKS: GRADE 6 CORRELATION OF STUDENT PACKETS TO THE RESOURCE GUIDE Referenced here is the vocabulary, explanations, and examples from the Resource Guide that support the learning of the goals in each
More informationMini-Lesson 1. Section 1.1: Order of Operations PEMDAS
Name: Date: 1 Section 1.1: Order of Operations PEMDAS If we are working with a mathematical expression that contains more than one operation, then we need to understand how to simplify. The acronym PEMDAS
More informationPlace Value and Operations with Whole Numbers
M a t h e m a t i c s Place Value and Operations with Whole Numbers Project: Food in Space.........................2 Developing understanding and fluency with multi-digit multiplication, and developing
More informationPROGRESSION IS HIGHLIGHTED IN THE FOLLOWING DOCUMENT VIA BOLDED TEXT. MATHEMATICAL PROCESSES
Alberta's Program of Studies (Curriculum) - Mathematics - Number (Strand with Achievement Outcomes) Note: These strands are not intended to be discrete units of instruction. The integration of outcomes
More informationPre Algebra 2. Student Goals. Curriculum Sample
Pre Algebra 2 Curriculum Sample A Grade Ahead s rigorous, year-round math enrichment program is designed to challenge your child to a higher academic standard. Our monthly curriculum includes mathematical
More informationAlignments to SuccessMaker. Providing rigorous intervention for K-8 learners with unparalleled precision
Alignments to SuccessMaker Providing rigorous intervention for K-8 learners with unparalleled precision OH.Math.7.RP Ratios and Proportional Relationships OH.Math.7.RP.A Analyze proportional relationships
More informationFraction to Percents Change the fraction to a decimal (see above) and then change the decimal to a percent (see above).
PEMDAS This is an acronym for the order of operations. Order of operations is the order in which you complete problems with more than one operation. o P parenthesis o E exponents o M multiplication OR
More informationABE Math TABE Modules 1-10
MODULE COMPETENCIES CW/HW Competencies M1 1. TABE Score Copy DAY 2. Data Form ONE PRETEST 3. First Exam (Pretest E/M/D/A) 4. Orientation M2 5. The Number System Whole Reviewing Place Value Naming Large
More informationMath 7 Notes Unit Three: Applying Rational Numbers
Math 7 Notes Unit Three: Applying Rational Numbers Strategy note to teachers: Typically students need more practice doing computations with fractions. You may want to consider teaching the sections on
More informationStudent Success Center Arithmetic Study Guide for the ACCUPLACER (CPT)
Fractions Terms Numerator: which tells how many parts you have (the number on top) Denominator: which tells how many parts in the whole (the number on the bottom) is parts have a dot out of Proper fraction:
More informationDECIMAL FRACTIONS. Thus, 0.25=25/100=1/4;2.008=2008/1000=251/125.
DECIMAL FRACTIONS I. Decimal Fractions : Fractions in which denominators are powers of 10 are known as decimal fractions. Thus,1/10=1 tenth=.1;1/100=1 hundredth =.01; 99/100=99 hundreths=.99;7/1000=7 thousandths=.007,etc
More informationGateway Regional School District VERTICAL ALIGNMENT OF MATHEMATICS STANDARDS Grades 3-6
NUMBER SENSE & OPERATIONS 3.N.1 Exhibit an understanding of the values of the digits in the base ten number system by reading, modeling, writing, comparing, and ordering whole numbers through 9,999. Our
More informationRevision on fractions and decimals
Revision on fractions and decimals Fractions 1. Addition and subtraction of fractions (i) For same denominator, only need to add the numerators, then simplify the fraction Example 1: " + $ " = &$ " (they
More informationCollege and Career Readiness Practice Workbooks. Series Crosswalks. Math. Science. Social Studies Reading
Social Studies Reading Science Writing Math College and Career Readiness Practice Workbooks Series Crosswalks Introduction McGraw-Hill Education s College and Career Readiness Practice Workbooks align
More informationAdding and Subtracting Integers
Quarterly 1 Review Sheet (NOTE: This may not include everything you need to know for tomorrow about every topic. It is student created and I am just sharing it in case you find it helpful) Page 1: Adding
More informationExample 2: Simplify each of the following. Round your answer to the nearest hundredth. a
Section 5.4 Division with Decimals 1. Dividing by a Whole Number: To divide a decimal number by a whole number Divide as you would if the decimal point was not there. If the decimal number has digits after
More informationFractions Decimals Percents
1 Fractions Decimals Percents Name TAG 2 Fractions to Decimals There are ways to convert fractions to decimals. 1. Use place value 2. Using equivalent fractions with denominators of,, 0, etc.. Use long
More informationRtI 7. Curriculum (219 topics additional topics)
RtI 7 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs. Curriculum
More information1 of 5 9/22/2009 11:03 AM Map: Pearson's Math Grade 4 2007-2008 Type: Projected Grade Level: 4 School Year: 2007-2008 Author: Jessica Parrella District/Building: Minisink Valley CSD/Intermediate School
More informationSummer 2013 Modules 9-13
Summer 201 Modules 9-1 Mastering the Fundamentals Chris Millett Copyright 201 All rights reserved. Written permission must be secured from the author to use or reproduce any part of this book. Academic
More informationPlace Value to Thousands
Place Value to Thousands You can show,0 in a place-value chart. The value of each digit in a number depends on its place in the number. In,0 the value of: is hundred thousand or 00,000. is ten thousands
More informationPre-Algebra Notes Unit One: Rational Numbers and Decimal Expansions
Pre-Algebra Notes Unit One: Rational Numbers and Decimal Expansions Rational Numbers Rational numbers are numbers that can be written as a quotient of two integers. Since decimals are special fractions,
More informationScope and Sequence for Math 4 (1e)
Number Strand Scope and Sequence for Math 4 (1e) Number Sense and Numeration Counts by 1 s, 2 s, 3 s, 4 s, 5 s, 6 s, 7 s, 8 s, 9 s, 10 s, 12 s, 25 s, 100 s, A s, and F s 6, 10, 25, 28, 29, 32, 68, 99,
More informationAlgebra2go: Working with Fractions and Mixed Numbers
Algebrago: Working with Fractions and Mixed Numbers Algebrago Review of Fractions. Understand Fractions on a Number Line Fractions are used to represent quantities between the whole numbers on a number
More informationSail into Summer with Math!
Sail into Summer with Math! For Students Entering Math C This summer math booklet was developed to provide students in kindergarten through the eighth grade an opportunity to review grade level math objectives
More informationMath Grade 4. PLD Standard Minimally Proficient Partially Proficient Proficient Highly Proficient. student
PLD Standard Minimally Proficient Partially Proficient Proficient Highly Proficient The Minimally Proficient student The Partially Proficient student The Proficient student The Highly Proficient student
More informationGrade 5 Math Performance Rubric
5 Grade 5 Math Performance Rubric Math Content Areas Operations and Algebraic Thinking Numbers and Operations in Base Ten Numbers and Operations Fractions Measurement and Data Geometry Operations and Algebraic
More informationLesson 1: Arithmetic Review
Lesson 1: Arithmetic Review Topics and Objectives: Order of Operations Fractions o Improper fractions and mixed numbers o Equivalent fractions o Fractions in simplest form o One and zero Operations on
More informationGrade 5 CURRICULUM MAP CONTENT: Math Updated to Common Core Standards July 2011
AUGUST / SEPTEMBER 1-15 CORE CONTENT Sequences Digits Money to illustrate place value Comparing whole Naming whole through 100 Dollars and cents Adding one-digit Subtraction facts Subtraction Algorithm
More informationAccuplacer Arithmetic Review
Accuplacer Arithmetic Review Hennepin Technical College Placement Testing for Success Page Overview The Arithmetic section of ACCUPLACER contains 7 multiple choice questions that measure your ability to
More informationAdding and Subtracting with Decimals
Adding and Subtracting with Decimals Before you can add or subtract numbers with decimals, all the decimal points must be lined up. (It will help if you use zeros to fill in places so that the numbers
More informationLearning Log Title: CHAPTER 3: PORTIONS AND INTEGERS. Date: Lesson: Chapter 3: Portions and Integers
Chapter 3: Portions and Integers CHAPTER 3: PORTIONS AND INTEGERS Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Chapter 3: Portions and Integers Date: Lesson: Learning Log Title:
More informationThe School District of Palm Beach County Fourth Grade Mathematics Scope st Trimester
Number and Operations in Base Ten Generalize place value understanding for multi-digit whole numbers. NBT.1.1 NBT.1.2 NBT.1.3 Recognize that in a multi-digit whole number, a digit in one place represents
More informationSUMMER REVIEW PACKET 2 FOR STUDENTS ENTERING ALGEBRA 1
SUMMER REVIEW PACKET FOR STUDENTS ENTERING ALGEBRA Dear Students, Welcome to Ma ayanot. We are very happy that you will be with us in the Fall. The Math department is looking forward to working with you
More informationFractions. There are several terms that are commonly used when working with fractions.
Chapter 0 Review of Arithmetic Fractions There are several terms that are commonly used when working with fractions. Fraction: The ratio of two numbers. We use a division bar to show this ratio. The number
More informationIntegers are whole numbers; they include negative whole numbers and zero. For example -7, 0, 18 are integers, 1.5 is not.
What is an INTEGER/NONINTEGER? Integers are whole numbers; they include negative whole numbers and zero. For example -7, 0, 18 are integers, 1.5 is not. What is a REAL/IMAGINARY number? A real number is
More informationSimplifying Expressions UNIT 1 Warm-Up A. 1) Find the least common multiple. a) 2 and 6 b) 7 and 5 c) 4 and 6
Simplifying Expressions UNIT 1 Warm-Up A 1) Find the least common multiple. a) 2 and 6 b) 7 and 5 c) 4 and 6 2) Write the equivalent fraction. a) b) c) 3) Write with common denominators. a) b) 4) Reduce
More informationMilton Area School District Standards Based Report Card Rubric Grade 5 Math
Milton Area School District Standards Based Report Card Rubric Grade 5 Math 2017 2018 Standards based grading aligns grading with the PA (Pennsylvania) Core Standards. The purpose of the report card is
More informationWhat is a Fraction? Fractions. One Way To Remember Numerator = North / 16. Example. What Fraction is Shaded? 9/16/16. Fraction = Part of a Whole
// Fractions Pages What is a Fraction? Fraction Part of a Whole Top Number? Bottom Number? Page Numerator tells how many parts you have Denominator tells how many parts are in the whole Note: the fraction
More informationBurnley Brow Year 5 Mathematics Overview
Burnley Brow Year 5 Mathematics Overview 2016-2017 Inspire Maths 5 Long-term Plan Unit title Key concepts 1 Whole Numbers (1) Numbers to 10 million Place and value Comparing numbers within 10 million Rounding
More informationFor more information, see the Math Notes box in Lesson of the Core Connections, Course 1 text.
Number TYPES OF NUMBERS When two or more integers are multiplied together, each number is a factor of the product. Nonnegative integers that have eactly two factors, namely, one and itself, are called
More informationMath 6 Pre-assessment
Name: lass: ate: I: Math 6 Pre-assessment Multiple hoice Identify the choice that best completes the statement or answers the question. Use the four-step plan to solve each problem.. omplete the pattern:,,
More informationStandard 1 Students will expand number sense to include integers and perform operations with whole numbers, simple fractions, and decimals.
Stretch Standard 1 Students will expand number sense to include integers and perform operations with whole numbers, simple fractions, and decimals. Objective 1: Represent whole numbers and decimals from
More informationStudy Guide and Review - Rational Numbers
Choose the correct term or number to complete the sentence. 1. 1.875 is an example of a (terminating, repeating) decimal. Because the digits end, 1.875 is a terminating decimal. terminating 2. A common
More informationSummer Assignment Glossary
Algebra 1.1 Summer Assignment Name: Date: Hour: Directions: Show all work for full credit using a pencil. Circle your final answer. This assignment is due the first day of school. Use the summer assignment
More informationSINGAPORE CORE COMMON CORE STATE STANDARDS BOY ASSESSMENT UNIT 1: BILLIONS. -recognize place value up to billions
5 TH GRADE MATH CURRICULUM MAP Approximate Month AUG. SEPT. SINGAPORE CORE COMMON CORE STATE STANDARDS BOY ASSESSMENT UNIT 1: BILLIONS -Write very large s in -read and write s (in digits and Standard 1.1,
More information