Dr Brian Beaudrie pg. 1


 Shauna Bridges
 1 years ago
 Views:
Transcription
1 Multiplication of Decimals Name: Multiplication of a decimal by a whole number can be represented by the repeated addition model. For example, means add 0.14 three times, regroup, and simplify, as shown below: = roughly There are three separate cases of multiplication, each with its own representation. The first case has already been described: multiplication of a whole number by a decimal. Try these two multiplication problems, modeling what is shown in the example above: = = Dr Brian Beaudrie pg. 1
2 How about this one? = + Multiplication of a whole number by a decimal is an important step in helping a child conceptualize multiplication of two decimals. The second case is the opposite of the first case: multiplication of a decimal by a whole number. For example, suppose you going to find the solution to Of course, you could use the law, which allows you to rewrite the equation as ; but since most 3 rd graders don t understand that law, let s try a different approach: Since we are multiplying a decimal by 2 (in this case) begin with two decimal squares, and shade each with Then, combine them into one decimal square (with regrouping, if necessary) = 0.56 joining regroup Go ahead and try it: (you can combine the joining and regrouping steps): = join and regroup The third case involves multiplying a decimal by a decimal. For this activity, we will only do tenths multiplied by tenths. The method we employ might look a bit familiar we did something similar to it when we did fractions. Dr Brian Beaudrie pg. 2
3 Suppose we wanted to multiply 0.3 by 0.4. Looking at our decimal square we would do the following: We would divide the tenths along the horizontal axis into tenths as well, as many tenths as we needed. From there, we would shade in up to 0.3 and over to 0.4. From that, we would then count the shaded boxes to obtain our answer. So, =.12 Try out this idea on a few examples: = = Questions: 1) How could you represent thousandths using decimal squares? 2) Why do we only do examples that show tenths multiplied by tenths? Why would showing an example having tenths multiplied by hundredths be difficult? 3) What are some of the limitations of using the decimal squares? Dr Brian Beaudrie pg. 3
4 Division of Decimals With division of decimals, there are also three separate cases to consider. The first case, division of a decimal by a whole number, is done using the partitive model of division. Example: The problem is essentially asking to separate 0.54 into three sets of equal size. If we were to estimate a range for our answer, we know that our answer will be more than 0.1 but less than 0.2 because we can split the columns (tenths) into three equal groups once, but not twice. Therefore, to use this method, we will divide up the columns (tenths) first (one for each group), then divide the remaining squares (hundredths) into 3 equal groups, as shown to the right. We can then see that each color uses exactly eighteen squares, so we know: =.18 Use the method (estimating first) described above to do the following examples. a) = b) = For the second case, dividing a whole number by a decimal, the repeated subtraction (measurement) method of division is the model to employ. In this method, you count the number of sets equivalent to the divisor (the second number) that are in the dividend (the first number). For example, in the problem: =, you are being asked how many sets of 0.6 can you take away from three whole units? So, starting with three whole units, you will make groups of size 0.6, as shown below: So, we know that = 5, since we ended up with five different colors. Dr Brian Beaudrie pg. 4
5 Use the repeated subtraction model to find the correct answer to the following problem: = What happens, though, when you don t have a whole number solution? Well, consider The decimal square to the right shows what happens you end up with six groups, each size 0.04, with three extra groups left over. If I look at 0.03/0.04, I can see that it is exactly 0.75 of another group of size Therefore, I have: = 6.75 The third case concerns dividing one decimal by another decimal. For this, you will also use the repeated subtraction model of division. For example, with , you need to find out how many sets of 0.19 exist in So, you would pull out groups of 19 little squares at a time, as shown on the left. So, you will have: = 4. Use your decimal squares and the method described above to find the following quotients. Estimate first where appropriate. a) = b) = Dr Brian Beaudrie pg. 5
Reteaching. Properties of Operations
 Properties of Operations The commutative properties state that changing the order of addends or factors in a multiplication or addition expression does not change the sum or the product. Examples: 5
More informationSection R.2. Fractions
Section R.2 Fractions Learning objectives Fraction properties of 0 and 1 Writing equivalent fractions Writing fractions in simplest form Multiplying and dividing fractions Adding and subtracting fractions
More information2. Perform the division as if the numbers were whole numbers. You may need to add zeros to the back of the dividend to complete the division
Math Section 5. Dividing Decimals 5. Dividing Decimals Review from Section.: Quotients, Dividends, and Divisors. In the expression,, the number is called the dividend, is called the divisor, and is called
More informationOperations on Decimals
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. Then write the decimal
More informationDecimals Adding and Subtracting
1 Decimals Adding and Subtracting Decimals are a group of digits, which express numbers or measurements in units, tens, and multiples of 10. The digits for units and multiples of 10 are followed by a decimal
More informationCopyright 2013 Edmentum  All rights reserved.
Add & Subtract Fractions 1. Copyright 2013 Edmentum  All rights reserved. A. B. C. D. Add & Subtract Decimals 2. 246.8 + 379.8 = 626.6 Using the addition equation above, solve the subtraction equation
More informationParamedic Program PreAdmission Mathematics Test Study Guide
Paramedic Program PreAdmission Mathematics Test Study Guide 05/13 1 Table of Contents Page 1 Page 2 Page 3 Page 4 Page 5 Page 6 Page 7 Page 8 Page 9 Page 10 Page 11 Page 12 Page 13 Page 14 Page 15 Page
More informationAccuplacer Arithmetic Study Guide
Testing Center Student Success Center 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
More informationDECIMAL MODULE. I. Adding Decimals. II. Subtracting Decimals. III. Multiplying Decimals. IV. Dividing Decimals. BMR.
DECIMAL MODULE I. Adding Decimals II. Subtracting Decimals III. Multiplying Decimals IV. Dividing Decimals BMR.Decimals Page 1 I. Adding Decimals. Introduction: This is the first of four parts on working
More informationOPERATIONS: x and. x 10 10
CONNECT: Decimals OPERATIONS: x and To be able to perform the usual operations (+,, x and ) using decimals, we need to remember what decimals are. To review this, please refer to CONNECT: Fractions Fractions
More information100 which when written as a decimal is 0.06.
Solve the following problem. Session 28 Decimal Multiplication and Division Find the electric bill for 370 kwh s of electricity from Red River Region Coop, which charges 0.094 dollars per kilowatthour
More informationPreAlgebra Lecture 6
PreAlgebra Lecture 6 Today we will discuss Decimals and Percentages. Outline: 1. Decimals 2. Ordering Decimals 3. Rounding Decimals 4. Adding and subtracting Decimals 5. Multiplying and Dividing Decimals
More informationSupporting your child with maths
Granby Primary School Year 5 & 6 Supporting your child with maths A handbook for year 5 & 6 parents H M Hopps 2016 G r a n b y P r i m a r y S c h o o l 1 P a g e Many parents want to help their children
More informationSection 5.5 Dividing Decimals
Section 5.5 Dividing Decimals Objectives In this section, you will learn to: To successfully complete this section, you need to understand: Divide decimal numbers by whole numbers. Dividing whole numbers
More informationImproper Fractions and Mixed Numbers
This assignment includes practice problems covering a variety of mathematical concepts. Do NOT use a calculator in this assignment. The assignment will be collected on the first full day of class. All
More informationMath Help and Additional Practice Websites
Name: Math Help and Additional Practice Websites http://www.coolmath.com www.aplusmath.com/ http://www.mathplayground.com/games.html http://www.ixl.com/math/grade7 http://www.softschools.com/grades/6th_and_7th.jsp
More informationYOU MUST BE ABLE TO DO THE FOLLOWING PROBLEMS WITHOUT A CALCULATOR!
DETAILED SOLUTIONS AND CONCEPTS  DECIMALS AND WHOLE NUMBERS Prepared by Ingrid Stewart, Ph.D., College of Southern Nevada Please Send Questions and Comments to ingrid.stewart@csn.edu. Thank you! YOU MUST
More informationDECIMAL REVIEW. 2. Change to a fraction Notice that =.791 The zero in front of the decimal place is not needed.
DECIMAL REVIEW A. INTRODUCTION TO THE DECIMAL SYSTEM The Decimal System is another way of expressing a part of a whole number. A decimal is simply a fraction with a denominator of 10, 100, 1 000 or 10
More informationFractions to decimals
Worksheet.4 Fractions and Decimals Section Fractions to decimals The most common method of converting fractions to decimals is to use a calculator. A fraction represents a division so is another way of
More informationActivity 1: Using base ten blocks to model operations on decimals
Rational Numbers 9: Decimal Form of Rational Numbers Objectives To use base ten blocks to model operations on decimal numbers To review the algorithms for addition, subtraction, multiplication and division
More informationMaths Calculation Policy September 2014
Maths Calculation Policy September 2014 Addition and Subtraction Progression Policy Adapted March 2014 to incorporate Years 12 and 7+ Visual Images??? Children should be selecting one of these three visual
More informationJobTestPrep's Numeracy Review Decimals & Percentages
JobTestPrep's Numeracy Review Decimals & Percentages 1 Table of contents What is decimal? 3 Converting fractions to decimals 4 Converting decimals to fractions 6 Percentages 6 Adding and subtracting decimals
More information= = = = = = =2 3 10) = =1 2 12) = )
11 ) 11 11  1 1 1 1 1 19  1 10 11 91 11 111 10 91     1 11 1   1 11 1 91   1   1   11 1 11  110 9 1   1 1.. 1. 1... 10. 9. 9 10. 1 11. 1. 1. 1. 10 1. 1 1 1 110 9 1 9 0
More informationIntroduce Decimals with an Art Project Criteria Charts, Rubrics, Standards By Susan Ferdman
Introduce Decimals with an Art Project Criteria Charts, Rubrics, Standards By Susan Ferdman hundredths tenths ones tens Decimal Art An Introduction to Decimals Directions: Part 1: Coloring Have children
More informationTYPES OF NUMBERS. Example 2. Example 1. Problems. Answers
TYPES OF NUMBERS When two or more integers are multiplied together, each number is a factor of the product. Nonnegative integers that have exactly two factors, namely, one and itself, are called prime
More informationUnit 7 : Decimals. Friendly Notes = 2 ones 5 tenths 6 hundredths 3 thousandths =
Unit 7 : Decimals Tenths, Hundredths, and Thousandths 1 one = 10 tenths 1 tenth = 10 hundredths 1 hundredth = 10 thousandths Friendly Notes 1. Write 42 tenths as a decimal. 42 tenths = 40 tenths + 2 tenths
More informationDecimal Notations for Fractions Number and Operations Fractions /4.NF
Decimal Notations for Fractions Number and Operations Fractions /4.NF Domain: Cluster: Standard: 4.NF Number and Operations Fractions Understand decimal notation for fractions, and compare decimal fractions.
More informationINTRODUCTION TO FRACTIONS
Tallahassee Community College 16 INTRODUCTION TO FRACTIONS Figure A (Use for 1 5) 1. How many parts are there in this circle?. How many parts of the circle are shaded?. What fractional part of the circle
More information*Converting Fractions to Decimals
*Converting Fractions to Decimals In this task, students will convert fractions to decimals. Back to task table STANDARDS FOR MATHEMATICAL CONTENT MGSE7.NS.2 Apply and extend previous understandings of
More informationMaths for Nurses: Fractions and Decimals
Maths for Nurses: Fractions and Decimals This booklet will provide an overview of the basic numeracy skills for Nursing students. If you have any problems in answering the questions within the booklet
More informationDECIMALS are special fractions whose denominators are powers of 10.
DECIMALS DECIMALS are special fractions whose denominators are powers of 10. Since decimals are special fractions, then all the rules we have already learned for fractions should work for decimals. The
More informationDIVISION OF DECIMALS. 1503 9. We then we multiply by the
Tallahassee Community College 0 DIVISION OF DECIMALS To divide 9, we write these fractions: reciprocal of the divisor 0 9. We then we multiply by the 0 67 67 = = 9 67 67 The decimal equivalent of is. 67.
More informationRational Number Project
Rational Number Project Fraction Operations and Initial Decimal Ideas Lesson : Overview Students estimate sums and differences using mental images of the 0 x 0 grid. Students develop strategies for adding
More informationSimply Math. Everyday Math Skills NWT Literacy Council
Simply Math Everyday Math Skills 2009 NWT Literacy Council Acknowledgement The NWT Literacy Council gratefully acknowledges the financial assistance for this project from the Department of Education, Culture
More informationAlgorithm set of steps used to solve a mathematical computation. Area The number of square units that covers a shape or figure
Fifth Grade CCSS Math Vocabulary Word List *Terms with an asterisk are meant for teacher knowledge only students need to learn the concept but not necessarily the term. Addend Any number being added Algorithm
More informationUnit 1 Number Sense. In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions.
Unit 1 Number Sense In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions. BLM Three Types of Percent Problems (p L34) is a summary BLM for the material
More information6th Grade Vocabulary Words
1. sum the answer when you add Ex: 3 + 9 = 12 12 is the sum 2. difference the answer when you subtract Ex: 179 = 8 difference 8 is the 3. the answer when you multiply Ex: 7 x 8 = 56 56 is the 4. quotient
More informationChanging a Mixed Number to an Improper Fraction
Example: Write 48 4 48 4 = 48 8 4 8 = 8 8 = 2 8 2 = 4 in lowest terms. Find a number that divides evenly into both the numerator and denominator of the fraction. For the fraction on the left, there are
More informationChapter 4  Decimals
Chapter 4  Decimals $34.99 decimal notation ex. The cost of an object. ex. The balance of your bank account ex The amount owed ex. The tax on a purchase. Just like Whole Numbers Place Value  1.23456789
More informationScholastic Fraction Nation
Scholastic correlated to the ematics: Grades 48 2010 TM & Scholastic Inc. All rights reserved. SCHOLASTIC,, and associated logos are trademarks and/or registered trademarks of Scholastic Inc. Scholastic
More informationDATE PERIOD. Estimate the product of a decimal and a whole number by rounding the Estimation
A Multiplying Decimals by Whole Numbers (pages 135 138) When you multiply a decimal by a whole number, you can estimate to find where to put the decimal point in the product. You can also place the decimal
More informationMiniPosters. LES 1 Shopping at the Coop
MiniPosters LES 1 Shopping at the Coop Application Situation 1 p. 1 Application Situation 2 p. 48 Application Situation 3 p. 53 Application Situation 4 p. 54 Table of Contents APPLICATION SITUATION 1
More informationDividing Decimal Numbers
Section 2.4 PREACTIVITY PREPARATION Dividing Decimal Numbers The cost of your homeowner s insurance for one year is $856.2. If you opt for equal monthly payments to be automatically withdrawn from your
More informationDECIMALS. Rounding Decimals Review and Multiplying Decimals. copyright amberpasillas2010. Rounding Review. Decimals are read as and
DECIMALS Rounding Decimals Review and Rounding Review Decimals are read as and 5 1 8 2 1, Thousands Hundreds Tens Ones Tenths Hundredths Read as 518 and 21 hundredths Thousandths Ten Thousandths 1 Rounding
More informationNow that we have a handle on the integers, we will turn our attention to other types of numbers.
1.2 Rational Numbers Now that we have a handle on the integers, we will turn our attention to other types of numbers. We start with the following definitions. Definition: Rational Number any number that
More informationMath. Multiplying Fractions by Whole Numbers (visual) Answers. Name: Use the visual model to solve each problem. 3) = 7) 7 8) = 9) =
= + + = If we shade in / on the fractions below times we can = / why / three times is equal to whole and /.... ) ) 8 =.. 6. ) 6 =. ) ) = 8. 8 9. 0. 0 =. 8 =. 8 6 = = 0) 8 0 = ) 6 8 = ) = 0 9 8 6 8 08
More informationStudent Profile Name: Emergent to One to One Counting Date achieved
mergent to One to One Counting ledge Read The numerals 1 to 10 1 2 3 4 5 6 7 8 9 10 The numbers 1 to 10 forwards: 1 2 3 4 5 6 7 8 9 10 The numbers 10 to 1 backwards: 10 9 8 7 6 5 4 3 2 1 A Count The number
More informationDecimals Worksheets. The decimal point separates the whole numbers from the fractional part of a number.
Decimal Place Values The decimal point separates the whole numbers from the fractional part of a number. 8.09 In a whole number the decimal point is all the way to the right, even if it is not shown in
More informationFractions. Cavendish Community Primary School
Fractions Children in the Foundation Stage should be introduced to the concept of halves and quarters through play and practical activities in preparation for calculation at Key Stage One. Y Understand
More informationMultiply and Divide Decimals
Lesson 10 Part 1: Introduction Multiply and Divide Decimals Develop Skills and Strategies MAFS 6.NS.2.3 You ve learned about place value. You ve also learned how to multiply and divide decimals to the
More informationThe gas can has a capacity of 4.17 gallons and weighs 3.4 pounds.
hundred million$ ten million$ million$ 00,000,000 0,000,000,000,000 00,000 0,000,000 00 0 0 0 0 0 0 0 0 0 Session 26 Decimal Fractions Explain the meaning of the values stated in the following sentence.
More informationGap Closing. Decimal Computation. Junior / Intermediate Facilitator's Guide
Gap Closing Decimal Computation Junior / Intermediate Facilitator's Guide Module 8 Decimal Computation Diagnostic...5 Administer the diagnostic...5 Using diagnostic results to personalize interventions...5
More informationRoselle Math Curriculum Unit Title: 7 Multiplying and Dividing Decimals Grade: _5_. Common Core Standards, 2010
Essential Question(s) How do decimal numbers impact multiplication and division? Enduring Understanding(s) Decimals can be multiplied and divided in the same way as whole numbers. What strategies can be
More informationcount up and down in tenths count up and down in hundredths
Number: Fractions (including Decimals and Percentages COUNTING IN FRACTIONAL STEPS Pupils should count in fractions up to 10, starting from any number and using the1/2 and 2/4 equivalence on the number
More informationRIT scores between 191 and 200
Measures of Academic Progress for Mathematics RIT scores between 191 and 200 Number Sense and Operations Whole Numbers Solve simple addition word problems Find and extend patterns Demonstrate the associative,
More informationtroduction to Algebra
Chapter Five Decimals Section 5.1 Introduction to Decimals Like fractional notation, decimal notation is used to denote a part of a whole. Numbers written in decimal notation are called decimal numbers,
More informationPREPARATION FOR MATH TESTING at CityLab Academy
PREPARATION FOR MATH TESTING at CityLab Academy compiled by Gloria Vachino, M.S. Refresh your math skills with a MATH REVIEW and find out if you are ready for the math entrance test by taking a PRETEST
More information5th Grade. Interactive. Math Notebook. Rebecca Rojas at Create.Teach.Share
5th Grade Interactive Math Notebook Rebecca Rojas at Create.Teach.Share 5 th Grade Interactive Math Notebook Operations & Algebraic Thinking and Number & Operations in Base Ten Thank you so much for purchasing
More informationSolving Logarithmic Equations
Solving Logarithmic Equations Deciding How to Solve Logarithmic Equation When asked to solve a logarithmic equation such as log (x + 7) = or log (7x + ) = log (x + 9), the first thing we need to decide
More informationOverview of Unit Topics and Lesson Objectives. Topic 1: Multiplicative Patterns on the Place Value Chart 14
GRADE 5 UNIT 1 Place Value and Decimal Fractions Table of Contents Overview of Unit Topics and Lesson Objectives Lessons Topic 1: Multiplicative Patterns on the Place Value Chart 14 Lesson 1: Reason concretely
More informationFRACTIONS MODULE Part I
FRACTIONS MODULE Part I I. Basics of Fractions II. Rewriting Fractions in the Lowest Terms III. Change an Improper Fraction into a Mixed Number IV. Change a Mixed Number into an Improper Fraction BMR.Fractions
More informationQueens Federation Maths Calculation Policy
Queens Federation Maths Calculation Policy Draft v3b This document describes the progression in methods of calculation taught within the Queens Federation. It has been developed in line with the 2013 National
More informationHOSPITALITY Math Assessment Preparation Guide. Introduction Operations with Whole Numbers Operations with Integers 9
HOSPITALITY Math Assessment Preparation Guide Please note that the guide is for reference only and that it does not represent an exact match with the assessment content. The Assessment Centre at George
More informationEureka Math Tips for Parents
Eureka Math Tips for Parents Place Value and Decimal Fractions In this first module of, we will extend 4 th grade place value work to multidigit numbers with decimals to the thousandths place. Students
More informationDividing Whole Numbers by Decimals, Pathway 1
Dividing Whole Numbers by Decimals Pathway OPENENDED You will need materials for modelling decimals (e.g., Hundredths Grids (BLM 8) or base ten blocks) Takuma is using cans that hold 0. L to pour water
More informationMaths Vocabulary Support Booklet
Maths Vocabulary Support Booklet The aim of this booklet is to help parents to understand and use the technical maths vocabulary accurately and confidently so you can help your children to do the same.
More informationGrade 5 Math Curriculum Guide
Grade 5 Math Curriculum Guide Lesson 1 1 st Nine Weeks Unit 1: Number and Operations in Base Ten Understand Place Value 5.NBT.1. Recognize that in a multidigit number, a digit in one place represents
More informationLesson Plan  Rational Number Operations
Lesson Plan  Rational Number Operations Chapter Resources  Lesson 312 Rational Number Operations  Lesson 312 Rational Number Operations Answers  Lesson 313 Take Rational Numbers to WholeNumber
More informationSubtraction. Fractions
Year 1 and across 100, forwards and backwards, beginning with 0 or 1, or from any given number write numbers to 100 in numerals; count in multiples of twos, fives and tens Children continue to combine
More informationI know when I have written a number backwards and can correct it when it is pointed out to me I can arrange numbers in order from 1 to 10
Mathematics Targets Moving from Level W and working towards level 1c I can count from 1 to 10 I know and write all my numbers to 10 I know when I have written a number backwards and can correct it when
More informationChapter 2 Formulas and Decimals
Chapter Formulas and Decimals Section A Rounding, Comparing, Adding and Subtracting Decimals Look at the following formulas. The first formula (P = A + B + C) is one we use to calculate perimeter of a
More informationAssociative Property The property that states that the way addends are grouped or factors are grouped does not change the sum or the product.
addend A number that is added to another in an addition problem. 2 + 3 = 5 The addends are 2 and 3. area The number of square units needed to cover a surface. area = 9 square units array An arrangement
More informationGrade 5 Common Core State Standard
2.1.5.B.1 Apply place value concepts to show an understanding of operations and rounding as they pertain to whole numbers and decimals. M05.AT.1.1.1 Demonstrate an understanding that 5.NBT.1 Recognize
More informationIntroduction to Fractions, Equivalent and Simplifying (12 days)
Introduction to Fractions, Equivalent and Simplifying (12 days) 1. Fraction 2. Numerator 3. Denominator 4. Equivalent 5. Simplest form Real World Examples: 1. Fractions in general, why and where we use
More informationDECIMALS PRACTICE BOOKLET TABLE OF CONTENTS
DECIMALS PRACTICE BOOKLET TABLE OF CONTENTS SKILL 1: Representing Decimals and Place Value...3 SKILL 2: Graph Decimals on a Number Line...5 SKILL 3: Comparing Decimals...7 SKILL 4: Ordering Decimals...9
More informationGap Closing. Decimal Computation. Junior / Intermediate Student Book
Gap Closing Decimal Computation Junior / Intermediate Student Book Module 8 Decimal Computation Diagnostic...4 Adding Decimal Tenths or Hundredths...6 Adding Mixed Decimals...10 Subtracting Decimal Tenths
More informationRepton Manor Primary School. Maths Targets
Repton Manor Primary School Maths Targets Which target is for my child? Every child at Repton Manor Primary School will have a Maths Target, which they will keep in their Maths Book. The teachers work
More informationSequential Skills. Strands and Major Topics
Sequential Skills This set of charts lists, by strand, the skills that are assessed, taught, and practiced in the Skills Tutorial program. Each Strand ends with a Mastery Test. You can enter correlating
More informationActivities with Graph Paper for Enhancing Learning of Mathematics
Activities with Graph Paper for Enhancing Learning of Mathematics Harinder Mahajan Graph paper is a very versatile and useful device for learning mathematics and is not used much in primary and middle
More informationIn the number 55.55, each digit is 5, but the value of the digits is different because of the placement.
FIFTH GRADE MATHEMATICS UNIT 2 STANDARDS Dear Parents, As we shift to Common Core Standards, we want to make sure that you have an understanding of the mathematics your child will be learning this year.
More informationCalculation Policy Fractions
Calculation Policy Fractions This policy is to be used in conjunction with the calculation policy to enable children to become fluent in fractions and ready to calculate them by Year 5. It has been devised
More informationMathematics Grade 5. Prepublication Version, April 2013 California Department of Education 32
Mathematics In, instructional time should focus on three critical areas: (1) developing fluency with addition and subtraction of fractions, and developing understanding of the multiplication of fractions
More informationparent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE FIVE
TM parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE FIVE 5 America s schools are working to provide higher quality instruction than ever before. The way we taught students in the past simply does
More informationCOMPASS Numerical Skills/PreAlgebra Preparation Guide. Introduction Operations with Integers Absolute Value of Numbers 13
COMPASS Numerical Skills/PreAlgebra Preparation Guide Please note that the guide is for reference only and that it does not represent an exact match with the assessment content. The Assessment Centre
More informationMultiplying Decimal Numbers by 10, by 100, and by 1000
Multiplying Decimal Numbers by 10, by 100, and by 1000 Lesson 111 111 To multiply by 10, shift the decimal to the right one place. To multiply by 100, shift the decimal to the right two places. To multiply
More information6th Grade Mathematics Curriculum Guide
Unit 1: Fractions and Decimals (no calculators) Time Frame: Quarter 1 about 25 days Connections to Previous Learning: By the end of grade 4, students are expected to fluently add, subtract, multiply and
More informationSolution: There are TWO square roots of 196, a positive number and a negative number. So, since and 14 2
5.7 Introduction to Square Roots The Square of a Number The number x is called the square of the number x. EX) 9 9 9 81, the number 81 is the square of the number 9. 4 4 4 16, the number 16 is the square
More informationRobyn Seifert Decker
Robyn Seifert Decker UltraMathPD@gmail.com Place Value Addition Subtraction Problem Solving Fractions If time allows: Multiplication and Division Spiral of change From Prochaska, DiClemente & Norcross,
More informationHow do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.
The verbal answers to all of the following questions should be memorized before completion of prealgebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics
More informationEXPONENTS. To the applicant: KEY WORDS AND CONVERTING WORDS TO EQUATIONS
To the applicant: The following information will help you review math that is included in the Paraprofessional written examination for the Conejo Valley Unified School District. The Education Code requires
More informationWord Problems. Simplifying Word Problems
Word Problems This sheet is designed as a review aid. If you have not previously studied this concept, or if after reviewing the contents you still don t pass, you should enroll in the appropriate math
More information**Unedited Draft** Arithmetic Revisited Lesson 5: Decimal Fractions or Place Value Extended Part 4: Dividing Decimal Fractions, Part 1
1. Introduction **Unedited Draft** Arithmetic Revisited Lesson 5: Decimal Fractions or Place Value Extended Part 4: Dividing Decimal Fractions, Part 1 So far we have discussed the operations of addition,
More informationPart 1 Expressions, Equations, and Inequalities: Simplifying and Solving
Section 7 Algebraic Manipulations and Solving Part 1 Expressions, Equations, and Inequalities: Simplifying and Solving Before launching into the mathematics, let s take a moment to talk about the words
More informationChapter 4 Fractions and Mixed Numbers
Chapter 4 Fractions and Mixed Numbers 4.1 Introduction to Fractions and Mixed Numbers Parts of a Fraction Whole numbers are used to count whole things. To refer to a part of a whole, fractions are used.
More informationMathematics Success Grade 6
T276 Mathematics Success Grade 6 [OBJECTIVE] The student will add and subtract with decimals to the thousandths place in mathematical and realworld situations. [PREREQUISITE SKILLS] addition and subtraction
More informationNUMBER SYSTEMS. William Stallings
NUMBER SYSTEMS William Stallings The Decimal System... The Binary System...3 Converting between Binary and Decimal...3 Integers...4 Fractions...5 Hexadecimal Notation...6 This document available at WilliamStallings.com/StudentSupport.html
More informationUsing Proportions to Solve Percent Problems I
RP71 Using Proportions to Solve Percent Problems I Pages 46 48 Standards: 7.RP.A. Goals: Students will write equivalent statements for proportions by keeping track of the part and the whole, and by solving
More informationSolution Guide Chapter 14 Mixing Fractions, Decimals, and Percents Together
Solution Guide Chapter 4 Mixing Fractions, Decimals, and Percents Together Doing the Math from p. 80 2. 0.72 9 =? 0.08 To change it to decimal, we can tip it over and divide: 9 0.72 To make 0.72 into a
More informationGrade 5 Math Content 1
Grade 5 Math Content 1 Number and Operations: Whole Numbers Multiplication and Division In Grade 5, students consolidate their understanding of the computational strategies they use for multiplication.
More informationPreliminary Mathematics
Preliminary Mathematics The purpose of this document is to provide you with a refresher over some topics that will be essential for what we do in this class. We will begin with fractions, decimals, and
More information