Fraction Vocabulary. It is important that vocabulary terms are taught to students.

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Fraction Vocabulary. It is important that vocabulary terms are taught to students."

Transcription

1 Rational Numbers Fractions Decimals Percents It is important for students to know how these 3 concepts relate to each other and how they can be interchanged.

2 Fraction Vocabulary It is important that vocabulary terms are taught to students. Fraction - part of a whole - all parts are equal. Numerator - top number (number of parts considered). Denominator - bottom number (number of equal parts). Greatest Common Factor (GCF) - largest common factor for both the numerator and denominator that is larger than 1. Least Common Multiple (LCM) - the smallest common multiple of two or more denominators. Improper Fraction - fraction that is greater than 1. Mixed Number - whole number and a fraction.

3 Fraction Models Region or Area Surface is divided into equal parts Rectangular or circular Set Whole is a set of objects and subsets of the whole make up the fractional parts. Example: You have 12 pieces of candy. You give your friend 5 pieces. They have 5/12 of the candy.

4 Fraction Models Length or Measurement Length is compared instead of area. Number lines Line segments

5 Reading and Writing Fractions Students must know the following terms to be able to use fractions both orally and in written form. Halves, thirds, fourths, fifths, sixths, sevenths, etc. Students will need to read and write fractions with guidance from teachers and quick reinforcement if they are reading and/or writing fractions incorrectly. Writing fractions Show students fractions with either concrete objects or pictures. Instruct them that the denominator is the number of parts and the numerator is the number of shaded parts.

6 Beginning Fraction Concepts When students are beginning to learn about fractions they should be working with concrete materials. Fraction tiles Fraction circles Fractions should also be related to real life experiences. Example: Give half of your candy to your brother.

7 Beginning Fraction Concepts Identifying/Counting Fractional Parts Identify the number of equal parts. Count the number of the parts being named. This will assist students in understanding that 1/8 is smaller than 1/4, which is a concept that is difficult for students to understand at first.

8 Beginning Fraction Concepts Relationship to 1 Students must quickly identify if a fraction is less than 1 (1/2), equal to 1 (5/5), or greater than 1 (7/5). Best demonstrated by using concrete fraction pieces that can be manipulated. Denominator larger than the numerator - less than 1 (proper fraction). Numerator and denominator are the same number - equal to 1. Numerator larger than denominator - greater than 1 (improper fraction).

9 Beginning Fraction Concepts Mixed Numbers - 7 1/8 Students must understand that it is the same as 7 + 1/8. Reading mixed numbers - 7 and 1/8. Writing mixed numbers - 7 1/8.

10 Beginning Fraction Skills Comparing Fractions Students must understand that the more parts in a whole, the smaller the fraction. Compare using <,>,= signs. 1/2 > 1/4 4/8 < 2/5 4/8 = 1/2 Students must also realize that 7/8 is closer to 1 than 3/4. Concrete fraction pieces will assist students, as they can put pieces on top of each other and compare the differences.

11 Error Analysis of Beginning Fraction Concepts Students should complete pages of the Error Analysis. Identify the error Complete two problems following the student s method Provide 2 strategies for teaching the student. Check your answers compared to the author s

12 Adding & Subtracting Like Denominators Fractions This should be fairly simple if students have a good understanding of the beginning fraction concepts. 3/4-1/4 = 2/4 7 4/ /9 = 8 5/9 If students are having difficulty, a review of beginning concepts is necessary.

13 Adding & Subtracting Fractions Unlike Denominators Students should first explore with fraction pieces. (See handouts for examples) Students need to be taught the concept of common multiples. Students must know their multiplication facts to be able to do this accurately and quickly. For students who have difficulty, fraction bars may be of assistance. (See handouts for example). Once students determine the least common denominator they write equivalent fractions and solve the problem.

14 Multiplying Fractions Begin with concrete objects. (see handouts for examples). It is important to emphasize that the denominators do not have to be the same in multiplication problems. Algorithm - should only be taught after students have add ample opportunities to practice conceptually. Multiply the numerators - write the answer. Multiply the denominators - write the answer. Read the problem.

15 Dividing Fractions Dividing fractions is the inverse of multiplying fractions. Most are taught to invert the divisor and multiply. While students can do this with little difficulty, most do not understand what they are doing or why they are doing it. Providing students with story problems may assist them in understanding. Example: Maria has 1 1/2 hours to complete her test. If the test has 6 questions, how much time can Maria spend on each question?

16 Writing Fractions in Simplest Terms Teach the concept of finding the greatest common factor (GCF). Determine factors of the numerator. Determine factors of the denominator. Determine the greatest common factor. 4 = 1,2,4 12 = 1,2,3,4,6,12 GCF = 4 4 x? = 4 4 x 1 = 4 4 = 1 4 x? = 12 4 x 3 =

17 Website Students should explore the following website that shows how fractions can be taught. category_g_2_t_1.html There are several fraction activities to explore.

18 Error Analysis Students should complete pages AND of the Error Analysis. Identify the error Complete two problems following the student s method Provide 2 strategies for teaching the student. Check your answers compared to the author s

19 Decimals Equal parts of a whole. The use of Base 10 Blocks will assist students in conceptually understanding decimals. Flat = Whole numbers Rod = Tenths Cube = Hundredths

20 Reading and Writing Decimals As with fractions, it is important that students are able to understand decimals both in written form and verbally. Tenths, hundredths, thousandths, etc..7 = seven tenths.77 = seventy-seven hundredths.501 = Five-hundred one thousandths 4.53 = Four and fifty-three hundredths

21 Comparing Decimal Values Students often think the more numbers to the right of the decimal, the larger the number. Using manipulatives to show decimals will assist students with this (see handouts for examples)..4 > <.75

22 Adding & Subtracting Decimals Students should have mastered addition and subtraction up to 4-digit numbers (with and without regrouping) prior to working with decimals. When beginning the problems should have the same place value. When adding and subtracting students should be taught to first bring down the decimal point and then compute the problem.

23 Multiplying Decimals Proficiency in multiplying whole multi-digit numbers is essential before beginning to work with decimals. The use of Base 10 Blocks will assist students in understanding. Algorithm Multiply problem. Starting from the right, count the number of decimal points and place the decimal point in the problem. Important to provide examples with zero in both the factors and the product.

24 Dividing Decimals Proficiency in dividing whole numbers is necessary prior to working with decimals. Algorithm Bring the decimal point directly up. Solve as a regular division problem.

25 Percents Can be introduced once students have a strong sense of fractions and decimals. What part of 100% belong to a certain group. (see handouts for examples) Common uses of percents: Sales tax of 6.25% Worth 25% of your grade Put 50% of your money in a savings account We have raised 84% of our goal.

26 Relating Fractions, Decimals, Percents It is important to be able to switch between fractions, decimals, and percents and know which one is easiest to use in different situations.

27 Relating Fractions, Decimals, Percents A shirt cost $ The sign says it is 33% off. Will you multiply 35 x. 33 or 35 x 1/3? If you have 60 baseball cards and you have to share half with your brother, will you multiply 60 x.50 or 60 x 1/2?

28 Common Fraction, Decimal, Percent Equivalents 3/ % 1/ % 1/ % 1/ % 1/ % 1/ %

29 Error Analysis in Decimals Students should complete pages AND of the Error Analysis. Identify the error Complete two problems following the student s method Provide 2 strategies for teaching the student. Check your answers compared to the author s

30 References Ashlock, R.B. (2005). Error patterns in computation. Hudson, P., & Miller, S.P. (2006). Designing and implementing mathematics instruction for students with diverse learning needs. Boston: Allyn & Bacon. Kennedy, L.M., Tipps, S., & Johnson, A. (2004). Guiding children s learning of mathematics (10 th ed.). Belmont, CA: Thomson- Wadsworth Sovchik, R.J. (1996). Teaching mathematics to children. New York: Longman. Van De Walle, J.A. (2004). Elementary and middle school mathematics: Teaching developmentally (5 th ed.). Boston: Allyn & Bacon.

Numbers and Operations in Base 10 and Numbers and Operations Fractions

Numbers and Operations in Base 10 and Numbers and Operations Fractions Numbers and Operations in Base 10 and Numbers As the chart below shows, the Numbers & Operations in Base 10 (NBT) domain of the Common Core State Standards for Mathematics (CCSSM) appears in every grade

More information

Fractions. Cavendish Community Primary School

Fractions. 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 information

Introduction to Fractions

Introduction to Fractions Introduction to Fractions Fractions represent parts of a whole. The top part of a fraction is called the numerator, while the bottom part of a fraction is called the denominator. The denominator states

More information

Unit 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. Unit 1 Number Sense In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions. BLM Three Types of Percent Problems (p L-34) is a summary BLM for the material

More information

parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE FIVE

parent 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 information

Section R.2. Fractions

Section 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 information

Improper Fractions and Mixed Numbers

Improper 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 information

In the number 55.55, each digit is 5, but the value of the digits is different because of the placement.

In 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 information

Planning Guide. Number Specific Outcomes 8, 9, 10 and 11

Planning Guide. Number Specific Outcomes 8, 9, 10 and 11 Mathematics Planning Guide Grade 5 Working with Decimal Numbers Number Specific Outcomes 8, 9, 10 and 11 This Planning Guide can be accessed online at: http://www.learnalberta.ca/content/mepg5/html/pg5_workingwithdecimalnumbers/index.html

More information

Computation of Fractions

Computation of Fractions National Center on INTENSIVE INTERVENTION at American Institutes for Research Computation of Fractions 000 Thomas Jefferson Street, NW Washington, DC 0007 E-mail: NCII@air.org While permission to reprint

More information

Now that we have a handle on the integers, we will turn our attention to other types of numbers.

Now 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 information

Key. Introduction. What is a Fraction. Better Math Numeracy Basics Fractions. On screen content. Narration voice-over

Key. Introduction. What is a Fraction. Better Math Numeracy Basics Fractions. On screen content. Narration voice-over Key On screen content Narration voice-over Activity Under the Activities heading of the online program Introduction This topic will cover how to: identify and distinguish between proper fractions, improper

More information

According to the Common Core State Standards Initiative (CCSSI, 2012), Mathematics Standards,

According to the Common Core State Standards Initiative (CCSSI, 2012), Mathematics Standards, Understanding Integer Addition and Subtraction Concepts Using Microsoft Word R Illustrations Estella De Los Santos, University of Houston-Victoria Abstract: Small colored disks of different colors have

More information

Eureka Math Tips for Parents

Eureka 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 multi-digit numbers with decimals to the thousandths place. Students

More information

TYPES OF NUMBERS. Example 2. Example 1. Problems. Answers

TYPES 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 information

This lesson introduces students to decimals.

This lesson introduces students to decimals. NATIONAL MATH + SCIENCE INITIATIVE Elementary Math Introduction to Decimals LEVEL Grade Five OBJECTIVES Students will compare fractions to decimals. explore and build decimal models. MATERIALS AND RESOURCES

More information

NF5-12 Flexibility with Equivalent Fractions and Pages 110 112

NF5-12 Flexibility with Equivalent Fractions and Pages 110 112 NF5- Flexibility with Equivalent Fractions and Pages 0 Lowest Terms STANDARDS preparation for 5.NF.A., 5.NF.A. Goals Students will equivalent fractions using division and reduce fractions to lowest terms.

More information

Division with Whole Numbers and Decimals

Division with Whole Numbers and Decimals Grade 5 Mathematics, Quarter 2, Unit 2.1 Division with Whole Numbers and Decimals Overview Number of Instructional Days: 15 (1 day = 45 60 minutes) Content to be Learned Divide multidigit whole numbers

More information

FIDDLIN WITH FRACTIONS

FIDDLIN WITH FRACTIONS FIDDLIN WITH FRACTIONS Special Area: Connections (Fourth and Fifth Grade) Written by: (Dawn Ramos, Joan Johnson, Mindy Wilshusen, St. Mary s School) Length of Unit: (6 Lessons) I. ABSTRACT The purpose

More information

Number: Fractions (including Decimals and Percentages) COUNTING IN FRACTIONAL STEPS Year 1 Year 2 Year 3 Year 4 Year 5 Year 6

Number: Fractions (including Decimals and Percentages) COUNTING IN FRACTIONAL STEPS Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Pupils should begin to count in halves, using practical resources to support Number: Fractions (including Decimals and Percentages COUNTING IN FRACTIONAL STEPS Pupils should count in count up and down

More information

Grade 5 Math Content 1

Grade 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 information

Saxon Math Home School Edition. September 2008

Saxon Math Home School Edition. September 2008 Saxon Math Home School Edition September 2008 Saxon Math Home School Edition Lesson 4: Comparing Whole Lesson 5: Naming Whole Through Hundreds, Dollars and Cent Lesson 7: Writing and Comparing Through

More information

Adults to use fraction vocabulary of halves, quarters, thirds etc when describing the number of groups).

Adults to use fraction vocabulary of halves, quarters, thirds etc when describing the number of groups). DEVELOPING UNDERSTANDING OF FRACTIONS, DECIMALS AND PERCENTAGES Year NC Objectives Examples Models and Images EYFS Share objects, shapes and count how many are in each group (early division) Solve problems

More information

Numerator Denominator

Numerator Denominator Fractions A fraction is any part of a group, number or whole. Fractions are always written as Numerator Denominator A unitary fraction is one where the numerator is always 1 e.g 1 1 1 1 1...etc... 2 3

More information

Calculation Policy Fractions

Calculation 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 information

Robyn Seifert Decker

Robyn 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 information

Queens Federation Maths Calculation Policy

Queens 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 information

Sequential Skills. Strands and Major Topics

Sequential 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 information

Multiplying and Dividing Fractions

Multiplying and Dividing Fractions Multiplying and Dividing Fractions 1 Overview Fractions and Mixed Numbers Factors and Prime Factorization Simplest Form of a Fraction Multiplying Fractions and Mixed Numbers Dividing Fractions and Mixed

More information

count up and down in tenths count up and down in hundredths

count 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 information

The Crescent Primary School Calculation Policy

The Crescent Primary School Calculation Policy The Crescent Primary School Calculation Policy Examples of calculation methods for each year group and the progression between each method. January 2015 Our Calculation Policy This calculation policy has

More information

DECIMAL REVIEW. 2. Change to a fraction Notice that =.791 The zero in front of the decimal place is not needed.

DECIMAL 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 information

Sunny Hills Math Club Decimal Numbers Lesson 4

Sunny Hills Math Club Decimal Numbers Lesson 4 Are you tired of finding common denominators to add fractions? Are you tired of converting mixed fractions into improper fractions, just to multiply and convert them back? Are you tired of reducing fractions

More information

Introduction to Fractions, Equivalent and Simplifying (1-2 days)

Introduction to Fractions, Equivalent and Simplifying (1-2 days) Introduction to Fractions, Equivalent and Simplifying (1-2 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 information

2-7. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

2-7. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes Warm Up Problem of the Day Lesson Presentation Lesson Quizzes Warm Up Write each mixed number as an improper fraction. 1. 1 3. 1 3 4 6 7 4 11 6 2. 2 7 8 23 8 4. 8 1 12 97 12 2-11 2-7 I will Learn to compare

More information

3. ROUNDING OFF DECIMAL NUMBERS TO THE NEAREST TENTH

3. ROUNDING OFF DECIMAL NUMBERS TO THE NEAREST TENTH 3. ROUNDING OFF DECIMAL NUMBERS TO THE NEAREST TENTH Material: Decimal Board and materials Small gold circle Prepared problems Paper and pencil Presentation: 1. Form a number on the board with discs: 0.68.

More information

Motcombe and Milton on Stour Fractions progression Developed Spring Fractions Progression

Motcombe and Milton on Stour Fractions progression Developed Spring Fractions Progression Objectives/Activities Year R Key Vocabulary fair, sharing, the same, different, whole, equal, altogether, double, half. 1. Understanding fairness Finding equal and unequal groups. Realising when two groups

More information

Overview. Essential Questions. Grade 5 Mathematics, Quarter 3, Unit 3.1 Adding and Subtracting Decimals

Overview. Essential Questions. Grade 5 Mathematics, Quarter 3, Unit 3.1 Adding and Subtracting Decimals Adding and Subtracting Decimals Overview Number of instruction days: 12 14 (1 day = 90 minutes) Content to Be Learned Add and subtract decimals to the hundredths. Use concrete models, drawings, and strategies

More information

6th Grade Vocabulary Words

6th 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: 17-9 = 8 difference 8 is the 3. the answer when you multiply Ex: 7 x 8 = 56 56 is the 4. quotient

More information

Introduce 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 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 information

Rational Number Project

Rational Number Project Rational Number Project Fraction Operations & Initial Decimal Ideas 2009 Kathleen Cramer Terry Wyberg Seth Leavitt This material is based upon work supported by the National Science Foundation under Grant

More information

Understanding Place Value of Whole Numbers and Decimals Including Rounding

Understanding Place Value of Whole Numbers and Decimals Including Rounding Grade 5 Mathematics, Quarter 1, Unit 1.1 Understanding Place Value of Whole Numbers and Decimals Including Rounding Overview Number of instructional days: 14 (1 day = 45 60 minutes) Content to be learned

More information

Divison of Fractions: An Iceberg Inspired Learning Trajectory

Divison of Fractions: An Iceberg Inspired Learning Trajectory Divison of Fractions: An Iceberg Inspired Learning Trajectory Since I started teaching I ve been very intrigued by the conceptual meaning of dividing fractions. I chose this topic for a learning trajectory

More information

Just want the standards alone? You can find the standards alone at

Just want the standards alone? You can find the standards alone at 5 th Grade Mathematics Unpacked Content For the new Common Core State Standards that will be effective in all North Carolina schools in the 2012-13 school year. This document is designed to help North

More information

6th Grade Mathematics Curriculum Guide

6th 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 information

NS6-50 Dividing Whole Numbers by Unit Fractions Pages 16 17

NS6-50 Dividing Whole Numbers by Unit Fractions Pages 16 17 NS6-0 Dividing Whole Numbers by Unit Fractions Pages 6 STANDARDS 6.NS.A. Goals Students will divide whole numbers by unit fractions. Vocabulary division fraction unit fraction whole number PRIOR KNOWLEDGE

More information

Topic Skill Homework Title Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number.

Topic Skill Homework Title Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number. Year 1 (Age 5-6) Number and Place Value Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number. Count up to 10 and back (Age 5-6) Count up to 20 objects (Age 5-6)

More information

Math Content by Strand 1

Math Content by Strand 1 Math Content by Strand 1 The Base-Ten Number System: Place Value Introduction 2 Learning about whole number computation must be closely connected to learning about the baseten number system. The base-ten

More information

Unit 6 Number and Operations in Base Ten: Decimals

Unit 6 Number and Operations in Base Ten: Decimals Unit 6 Number and Operations in Base Ten: Decimals Introduction Students will extend the place value system to decimals. They will apply their understanding of models for decimals and decimal notation,

More information

Rational Number Project

Rational Number Project Rational Number Project Fraction Operations and Initial Decimal Ideas Lesson 1: Overview Students review how to model fractions with fraction circles by ordering unit fractions, using 1-half as a benchmark

More information

Introduction to Fractions

Introduction to Fractions Section 0.6 Contents: Vocabulary of Fractions A Fraction as division Undefined Values First Rules of Fractions Equivalent Fractions Building Up Fractions VOCABULARY OF FRACTIONS Simplifying Fractions Multiplying

More information

RIT scores between 191 and 200

RIT 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 information

Grade 7 Mathematics. Unit 3. Fractions, Decimals, and Percents. Estimated Time: 23 Hours

Grade 7 Mathematics. Unit 3. Fractions, Decimals, and Percents. Estimated Time: 23 Hours Grade 7 Mathematics Fractions, Decimals, and Percents Estimated Time: 23 Hours [C] Communication [CN] Connections [ME] Mental Mathematics and Estimation [PS] Problem Solving [R] Reasoning [T] Technology

More information

Fractions to decimals

Fractions 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 information

Consolidation of Grade 6 EQAO Questions Number Sense and Numeration

Consolidation of Grade 6 EQAO Questions Number Sense and Numeration Consolidation of Grade 6 EQAO Questions Number Sense and Numeration Compiled by Devika William-Yu (SE2 Math Coach) Overall Expectations NV1 Read, represent, compare, and order whole numbers to 1 000 000,

More information

Reteaching. Properties of Operations

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 information

Paramedic Program Pre-Admission Mathematics Test Study Guide

Paramedic Program Pre-Admission Mathematics Test Study Guide Paramedic Program Pre-Admission 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 information

Year 1. Use numbered number lines to add, by counting on in ones. Encourage children to start with the larger number and count on.

Year 1. Use numbered number lines to add, by counting on in ones. Encourage children to start with the larger number and count on. Year 1 Add with numbers up to 20 Use numbered number lines to add, by counting on in ones. Encourage children to start with the larger number and count on. +1 +1 +1 Children should: Have access to a wide

More information

Daily Fraction Five. Fraction Five ~ Fifth Grade. Laying the Foundation for a Conceptual Understanding of Fractions. Fifth Grade 5.

Daily Fraction Five. Fraction Five ~ Fifth Grade. Laying the Foundation for a Conceptual Understanding of Fractions. Fifth Grade 5. Daily Fraction Five Fraction Five ~ Fifth Grade Laying the Foundation for a Conceptual Understanding of Fractions Fifth Grade FRACTION FIVE RATIONAL Fractions present a considerable challenge to most kids.

More information

Grade 5 Mathematics Performance Level Descriptors

Grade 5 Mathematics Performance Level Descriptors Limited Grade 5 Mathematics Performance Level Descriptors A student performing at the Limited Level demonstrates a minimal command of Ohio s Learning Standards for Grade 5 Mathematics. A student at this

More information

Changing a Mixed Number to an Improper Fraction

Changing 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 information

Archdiocese of Newark Catholic Schools. Curriculum Mapping

Archdiocese of Newark Catholic Schools. Curriculum Mapping Curriculum Mapping Curriculum mapping is a process that helps schools and districts/dioceses determine the agreed-upon learning for all students. Curriculum mapping was undertaken in the Archdiocese of

More information

5 th Grade CCGPS Math Unit 2: Numbers and Operations in Base Ten Student Study Guide

5 th Grade CCGPS Math Unit 2: Numbers and Operations in Base Ten Student Study Guide 5 th Grade CCGPS Math Unit 2: Numbers and Operations in Base Ten Student Study Guide Dear Student: Please review the Math standards below to prepare for the Georgia Milestones test. This will require that

More information

3.3 Addition and Subtraction of Rational Numbers

3.3 Addition and Subtraction of Rational Numbers 3.3 Addition and Subtraction of Rational Numbers In this section we consider addition and subtraction of both fractions and decimals. We start with addition and subtraction of fractions with the same denominator.

More information

Maths Module 2. Working with Fractions. This module covers fraction concepts such as:

Maths Module 2. Working with Fractions. This module covers fraction concepts such as: Maths Module Working with Fractions This module covers fraction concepts such as: identifying different types of fractions converting fractions addition and subtraction of fractions multiplication and

More information

Unit 11 Fractions and decimals

Unit 11 Fractions and decimals Unit 11 Fractions and decimals Five daily lessons Year 4 Spring term (Key objectives in bold) Unit Objectives Year 4 Use fraction notation. Recognise simple fractions that are Page several parts of a whole;

More information

Scholastic Fraction Nation

Scholastic Fraction Nation Scholastic correlated to the ematics: Grades 4-8 2010 TM & Scholastic Inc. All rights reserved. SCHOLASTIC,, and associated logos are trademarks and/or registered trademarks of Scholastic Inc. Scholastic

More information

Mathematics Scope and Sequence, K-8

Mathematics Scope and Sequence, K-8 Standard 1: Number and Operation Goal 1.1: Understands and uses numbers (number sense) Mathematics Scope and Sequence, K-8 Grade Counting Read, Write, Order, Compare Place Value Money Number Theory K Count

More information

Lab 7. Addition and Subtraction of Fractional Numbers

Lab 7. Addition and Subtraction of Fractional Numbers Lab 7 Addition and Subtraction of Fractional Numbers Objectives: 1. The teacher will understand how to create single unit models (models for 1) that can be used to model more than one fraction at a time.

More information

5 th Grade Common Core State Standards. Flip Book

5 th Grade Common Core State Standards. Flip Book 5 th Grade Common Core State Standards Flip Book This document is intended to show the connections to the Standards of Mathematical Practices for the content standards and to get detailed information at

More information

Conventional teaching strategies often fail to aid with these misconceptions

Conventional teaching strategies often fail to aid with these misconceptions INTRODUCTION Lengths of decimals do not dictate value Common strategies do not dictate accuracy Familiarity with a standard algorithm does not dictate understanding Conventional teaching strategies often

More information

NAME TEST DATE FRACTION STUDY GUIDE/EXTRA PRACTICE PART 1: PRIME OR COMPOSITE?

NAME TEST DATE FRACTION STUDY GUIDE/EXTRA PRACTICE PART 1: PRIME OR COMPOSITE? NAME TEST DATE FRACTION STUDY GUIDE/EXTRA PRACTICE PART 1: PRIME OR COMPOSITE? A prime number is a number that has exactly 2 factors, one and itself. Examples: 2, 3, 5, 11, 31 2 is the only even number

More information

+ = has become. has become. Maths in School. Fraction Calculations in School. by Kate Robinson

+ = has become. has become. Maths in School. Fraction Calculations in School. by Kate Robinson + has become 0 Maths in School has become 0 Fraction Calculations in School by Kate Robinson Fractions Calculations in School Contents Introduction p. Simplifying fractions (cancelling down) p. Adding

More information

Everyday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration

Everyday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration CCSS EDITION Overview of -6 Grade-Level Goals CCSS EDITION Content Strand: Number and Numeration Program Goal: Understand the Meanings, Uses, and Representations of Numbers Content Thread: Rote Counting

More information

Everyday Mathematics GOALS

Everyday Mathematics GOALS Copyright Wright Group/McGraw-Hill GOALS The following tables list the Grade-Level Goals organized by Content Strand and Program Goal. Content Strand: NUMBER AND NUMERATION Program Goal: Understand the

More information

DECIMALS are special fractions whose denominators are powers of 10.

DECIMALS 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 information

Algorithm set of steps used to solve a mathematical computation. Area The number of square units that covers a shape or figure

Algorithm 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 information

UNCOVERING STUDENT THINKING ABOUT MATHEMATICS IN THE COMMON CORE, GRADES 6 8. Estimating Quotients 2.1. Determine the best

UNCOVERING STUDENT THINKING ABOUT MATHEMATICS IN THE COMMON CORE, GRADES 6 8. Estimating Quotients 2.1. Determine the best 28 UNCOVERING STUDENT THINKING ABOUT MATHEMATICS IN THE COMMON CE, GRADES 6 8 1. Determine the best estimate. 22.5 0.54 Estimating Quotients Explain your choice. 2.1 a. Between 4 and 5 b. Between 40 and

More information

Grade 5 Common Core State Standard

Grade 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.A-T.1.1.1 Demonstrate an understanding that 5.NBT.1 Recognize

More information

Everyday Mathematics. Grade 4 Grade-Level Goals. 3rd Edition. Content Strand: Number and Numeration. Program Goal Content Thread Grade-Level Goals

Everyday Mathematics. Grade 4 Grade-Level Goals. 3rd Edition. Content Strand: Number and Numeration. Program Goal Content Thread Grade-Level Goals Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation

More information

Unit 1: Extending Whole Number Operations

Unit 1: Extending Whole Number Operations Unit 1: Extending Whole Number Operations Learning Goals 13 Days 5.3A S 2 Estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, and division

More information

Number: Fractions (including Decimals and Percentages) Reasoning

Number: Fractions (including Decimals and Percentages) Reasoning Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 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 line (Non Statutory

More information

CCSS.Math.Content.7.NS.A.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 1

CCSS.Math.Content.7.NS.A.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 1 Grade Level/Course: th grade Mathematics Lesson/Unit Plan Name: Complex Fractions Rationale/Lesson Abstract: For the first time, th graders are being asked to work with complex fractions. Timeframe: Introduction

More information

Unit 1 Review Part 1 3 combined Handout KEY.notebook. September 26, 2013

Unit 1 Review Part 1 3 combined Handout KEY.notebook. September 26, 2013 Math 10c Unit 1 Factors, Powers and Radicals Key Concepts 1.1 Determine the prime factors of a whole number. 650 3910 1.2 Explain why the numbers 0 and 1 have no prime factors. 0 and 1 have no prime factors

More information

Every Day Counts: Partner Games. and Math in Focus Alignment Guide. Grades K 5

Every Day Counts: Partner Games. and Math in Focus Alignment Guide. Grades K 5 Every Day Counts: s and Math in Focus Alignment Guide Grades K 5 7171_Prtnrs_AlgnmtChrt.indd 1 9/22/10 6:04:49 PM Every Day Counts : s s offers 20 simple yet effective games to help students learn, review,

More information

Grade 9 Mathematics Unit #1 Number Sense Sub-Unit #1 Rational Numbers. with Integers Divide Integers

Grade 9 Mathematics Unit #1 Number Sense Sub-Unit #1 Rational Numbers. with Integers Divide Integers Page1 Grade 9 Mathematics Unit #1 Number Sense Sub-Unit #1 Rational Numbers Lesson Topic I Can 1 Ordering & Adding Create a number line to order integers Integers Identify integers Add integers 2 Subtracting

More information

Kindergarten Math Standards at a Glance By the end of Kindergarten, students should be able to: Add and subtract numbers up to 5 Know number names

Kindergarten Math Standards at a Glance By the end of Kindergarten, students should be able to: Add and subtract numbers up to 5 Know number names Kindergarten Math Standards at a Glance By the end of Kindergarten, students should be Add and subtract numbers up to 5 Know number names and count to 100 Count to tell the number of objects in a group

More information

Overview. Essential Questions. Grade 4 Mathematics, Quarter 4, Unit 4.1 Dividing Whole Numbers With Remainders

Overview. Essential Questions. Grade 4 Mathematics, Quarter 4, Unit 4.1 Dividing Whole Numbers With Remainders Dividing Whole Numbers With Remainders Overview Number of instruction days: 7 9 (1 day = 90 minutes) Content to Be Learned Solve for whole-number quotients with remainders of up to four-digit dividends

More information

SIXTH GRADE MATH. Quarter 1

SIXTH GRADE MATH. Quarter 1 Quarter 1 SIXTH GRADE MATH Numeration - Place value - Comparing and ordering whole numbers - Place value of exponents - place value of decimals - multiplication and division by 10, 100, 1,000 - comparing

More information

Overview. Essential Questions. Grade 5 Mathematics, Quarter 3, Unit 3.2 Multiplying and Dividing With Decimals

Overview. Essential Questions. Grade 5 Mathematics, Quarter 3, Unit 3.2 Multiplying and Dividing With Decimals Multiplying and Dividing With Decimals Overview Number of instruction days: 9 11 (1 day = 90 minutes) Content to Be Learned Multiply decimals to hundredths. Divide decimals to hundredths. Use models, drawings,

More information

*Converting Fractions to Decimals

*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 information

Just want the standards alone? You can find the standards alone at

Just want the standards alone? You can find the standards alone at 5 th Grade Mathematics Unpacked Content This document is designed to help North Carolina educators teach the Common Core (Standard Course of Study). NCDPI staff are continually updating and improving these

More information

Vocabulary, Signs, & Symbols product dividend divisor quotient fact family inverse. Assessment. Envision Math Topic 1

Vocabulary, Signs, & Symbols product dividend divisor quotient fact family inverse. Assessment. Envision Math Topic 1 1st 9 Weeks Pacing Guide Fourth Grade Math Common Core State Standards Objective/Skill (DOK) I Can Statements (Knowledge & Skills) Curriculum Materials & Resources/Comments 4.OA.1 4.1i Interpret a multiplication

More information

Lesson Research Proposal for 5 th Grade Multiplication of a Decimal Number by a Whole Number

Lesson Research Proposal for 5 th Grade Multiplication of a Decimal Number by a Whole Number Lesson Date: Instructor: Lesson plan developed by: 1. Title of the Lesson: Multiplication of a Decimal Number by a Whole Number 2. Brief description of the lesson Students will use previous understandings

More information

Place Value Chart. Number Sense 345,562 > 342,500 24,545 < 38, ,312=212,312

Place Value Chart. Number Sense 345,562 > 342,500 24,545 < 38, ,312=212,312 INDIANA ACADEMIC STANDARDS Number Sense 4.NS.1 Read and write whole numbers up to 1,000,000. Use words, models, standard form, and expanded form to represent and show equivalent forms of whole numbers

More information

WSMA Decimal Numbers Lesson 4

WSMA Decimal Numbers Lesson 4 Thousands Hundreds Tens Ones Decimal Tenths Hundredths Thousandths WSMA Decimal Numbers Lesson 4 Are you tired of finding common denominators to add fractions? Are you tired of converting mixed fractions

More information

Progression in written calculations in response to the New Maths Curriculum. September 2014

Progression in written calculations in response to the New Maths Curriculum. September 2014 Progression in written calculations in response to the New Maths Curriculum This policy has been written in response to the New National Curriculum, and aims to ensure consistency in the mathematical written

More information

Fractions and Decimals (pages 62 66)

Fractions and Decimals (pages 62 66) A Fractions and Decimals (pages 6 66) A decimal that ends, such as 0., is a terminating decimal. All terminating decimals are rational numbers. 0.,000 A decimal that repeats, such as 0. is a repeating

More information

Such As Statements, Kindergarten Grade 8

Such As Statements, Kindergarten Grade 8 Such As Statements, Kindergarten Grade 8 This document contains the such as statements that were included in the review committees final recommendations for revisions to the mathematics Texas Essential

More information

Session 19 Fraction Basics

Session 19 Fraction Basics How would you answer this question? Session 19 Fraction Basics MSUM is hosting a six kilometer women s cross-country meet at Johnson Park on a course that is two kilometers long. Pat completed two laps.

More information