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

Size: px
Start display at page:

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

Transcription

1 + has become 0 Maths in School has become 0 Fraction Calculations in School by Kate Robinson

2 Fractions Calculations in School Contents Introduction p. Simplifying fractions (cancelling down) p. Adding and subtracting fractions p. Adding fractions with different denominators p. Subtracting fractions with different denominators p. Fraction calculations with a total above one whole p.9 Multiplying fractions by whole numbers p.0 Multiplying mixed numbers by whole numbers p. Multiplying fractions by fractions p. Dividing fractions by whole numbers p. Decimals and fractions p.7 Turning decimals into fractions p.7 Turning fractions into decimals p. Percentages and fractions p.9 Multiplying fractions game p.0 Resource sheets p. Oxford University Press 0 Fractions Calculations in School

3 Fractions Calculations in School Introduction Once children are confident using fractions they can begin to calculate with them. In this booklet, you ll find out how your child is taught to calculate with fractions in school. You ll also find a wide range of games and activities that you can use at home to build your child s skills and confidence in calculating with fractions. Simplifying fractions (cancelling down) When your child starts to calculate with fractions, they ll find that it s simpler to use a fraction when the denominator is as small as possible. It is easier to find than. We can simplify to to make it easier to use. This is sometimes called cancelling down. Simplifying a fraction means finding the equivalent fraction with the smallest denominator. We do it by finding the biggest number that we can divide both the numerator and denominator by: 0 Sometimes, when we haven t divided by the biggest possible number to begin with, we need to do it again: 6 Oxford University Press 0 Fractions Calculations in School

4 Adding and subtracting fractions Children begin to calculate with fractions by learning to add and subtract fractions with the same denominator, where the answer comes to less than one whole thing. All they have to do is add, or subtract, the numerators: Sometimes the answer to a fraction addition or subtraction needs to be simplified (as explained on page ): + Oxford University Press 0 Fractions Calculations in School

6 This tells us that a pizza that s already been split into quarters and a pizza that s already been split into fifths can both still be split into twentieths: We can see that: has become and has become 0 Without a real pizza or a picture to help us, we can work out how many twentieths these fractions make like this: Find what number we have to multiply each denominator by to turn it into the LCM. Then multiply the numerator by the same number: To turn into 0 we must multiply by. So we multiply by, which gives us. To turn into 0 we must multiply by. So we multiply by, which gives us. Oxford University Press 0 Fractions Calculations in School 6

7 We now have two fractions with the same denominator two pizzas with the same size slices, and we can now add them together just by adding the numerators: So, You can: Cut out the pizza fractions on page. Group the pizzas that are cut into halves, quarters and eighths together, those in thirds and sixths together and those in fifths and tenths together. Choose a group and show an addition calculation, such as of pizza plus 6 of pizza, to your child. Can they use the method above to help them add the fractions and then demonstrate the calculation by cutting, or drawing on, the pizza slices? Oxford University Press 0 Fractions Calculations in School 7

8 Subtracting fractions with different denominators We subtract fractions with different denominators in exactly the same way as above. We find the Lowest Common Multiple of the two denominators and then change both fractions accordingly (see Adding fractions with different denominators on page for a detailed explanation): The LCM of and is We then take the two new fractions with the same denominators and subtract one numerator away from the other: So, Oxford University Press 0 Fractions Calculations in School

9 Fraction calculations with a total above one whole Sometimes, a fraction calculation will have an answer of more than one whole thing. Look at this example here: + 77 Even without the picture, we know that the answer comes to more than whole cake because the answer is an improper fraction the numerator is higher than the denominator. If the answer to a fraction calculation is more than, we need to turn the answer from an improper fraction to a mixed fraction. So: + 7 You can find out more about mixed numbers and improper fractions in the Fractions in School booklet. Oxford University Press 0 Fractions Calculations in School 9

10 Multiplying fractions by whole numbers Later in primary school, children are shown how to multiply fractions by a whole number: Dan knows that each of the 6 people in his family will eat of a pie at tea time. To work out how much pie he needs altogether, he must calculate: 6 lots of three quarters or 6 We can see there are quarters, or, of pie altogether. To calculate this without a picture we can say: 6 (the numerator) So we have. But is an improper fraction, so we then need to turn this answer into a mixed fraction : How many groups of quarters in quarters? or remainder Oxford University Press 0 Fractions Calculations in School 0

11 So, he needs pies altogether. Sometimes we will also need to simplify the fraction (see page ) So, he needs pies altogether. So to multiply a fraction by a whole number: Multiply the numerator by the whole number. Turn the answer into a mixed number if needed. Simplify the mixed number if needed. Or, in short: Multiply numerator by whole number. Make a mixed number. Simplify. You can: Print off multiple copies of the pizza fractions on page. Can your child multiply a fraction of pizza by a whole number (e.g. of pizza), either by writing out a calculation on paper, or in their head? Can they check and show their answer with the pizza fractions? Oxford University Press 0 Fractions Calculations in School

12 Multiplying mixed numbers by whole numbers Children will also learn how to multiply a mixed number by a whole number, e.g. First turn the mixed number into an improper fraction. 7 Then, multiply the numerator by the whole number: 7. So we have. Turn the answer into a mixed number if needed. How many s in?. How many left over?. So we have (no need to simplify). Multiplying fractions by fractions Children also learn how to multiply fractions by fractions. But what does this actually mean? For example, if we re asked to calculate, what are we actually looking for? We re looking for: of Multiplying anything by leaves it exactly the same. So, multiplying anything by a proper fraction (less than ) makes it smaller. Really, when we multiply something by a fraction we re finding a part of it. Children can find this concept difficult to grasp; practical examples can help. So, if a recipe asks for of a cup of flour and we want to halve the ingredients, we ll need to find of of a cup, or: You can: Check that your child has an understanding of what it is they are really looking for. Can they find another word for the sign? If not, you can explain that it means of. Oxford University Press 0 Fractions Calculations in School

13 So we want to find of of a cup of flour, or: AW Cup Finding of of a cup is pretty tricky, because there are parts and therefore it s not easy to split into. So we split all of the quarters in the cup into : we multiply to get a total of parts: AW Cup Now each of the quarters is split into equal pieces. We can take out of ( ) from each of the quarters with flour in: We re taking part times over or AW Cup In total we have out of a possible parts in the cup, or of a cup. Oxford University Press 0 Fractions Calculations in School

14 So: (and can t be simplified) So, to multiply a fraction by a fraction: Multiply the numerators. Multiply the denominators. (Simplify if possible.) Here s a quicker example: 6 : multiply the numerators : simplify : multiply the denominators You can: Play the Multiplying fractions game on page 0 with your child to help them practise multiplying fractions by fractions. Oxford University Press 0 Fractions Calculations in School

15 Dividing fractions by whole numbers Children also learn how to divide fractions by whole numbers. Here s a whole cake. children have been told they can share of the cake between them. They want to work out what fraction of the cake they will each have. So they need to calculate: The children split their half of the cake into equal pieces. They also split the other half into pieces of the same size, to see what fraction of the whole cake they ll be getting. The children have split each of the pieces into, so they now have pieces of cake 6 pieces of cake 6 Oxford University Press 0 Fractions Calculations in School

16 Each child can have of these pieces: out of 6, or 6: So: no change 6 (and it s not possible to simplify 6) So, to divide a fraction by a whole number: Multiply the denominator by the whole number. Simplify if needed. You can: Cut out the pizzas on page. Can your child choose a fraction of a pizza and divide it by a whole number? Can they name the fraction in the answer? Can they show a written method, as above, as well as cutting or drawing on the pizza fractions? Oxford University Press 0 Fractions Calculations in School 6

17 Decimals and fractions Our children learn that fractions can be expressed in other ways, such as decimals numbers.. is a decimal number It contains a decimal point. Any digits before the decimal point (purple) are whole numbers that represent whole things. Any digits after the decimal point (blue) represent parts, or fractions, of whole things. Look at the same number on this place value chart: Hundreds 00 Tens 0 Units.. Tenths 0 Hundredths 00 We can see that the digit straight after the decimal point (the ) is worth tenths of a whole thing, in this case 0. Digits two places after the decimal point (the ) are worth hundredths of a whole thing, in this case 00. Digits in the next column are worth thousandths ( 000 s). In the next column they re worth ten thousandths ( 0000 s) and so on. Turning decimals into fractions To turn a decimal into a fraction we simply write it over 0 if there is one digit after the decimal, over 00 if there are two digits, over 000 if there are three digits and so on. Then, if it s possible, we simplify the fraction. Here are some examples: Oxford University Press 0 Fractions Calculations in School 7

18 Turning fractions into decimals Children will also learn how to turn fractions into decimals. Take a look at this fraction: We ve seen that the line in a fraction can be said as out of, e.g. We have out of slices of pie left. The line can also be said as divided by : divided by. If we had whole pies and divided them into equal pieces we d have exactly this amount of pie in each piece! And if we actually do the calculation, if we divide by, we turn the fraction into a decimal that also describes exactly how much of one whole pie we have left (children can use a calculator if they need to): 0 7, So 0 7, and we have 0 7 of a pie! In school, children are helped to remember some common decimal and fraction pairs, without always having to work them out mathematically. For example: Oxford University Press 0 Fractions Calculations in School

19 Percentages and fractions In their later years at primary school, children learn about percentages: 9% Percentages have the same value as fractions with a denominator of 00. So: 9% or out of 00 So, to turn a percentage into a fraction we: Put the percentage over 00. Simplify if needed. Here s another example: : put the % over 00 % 00 : simplify if needed Children are helped to remember some common percentage and fraction pairs, so that they don t always have to work them out mathematically. You can: Help your child to practise matching fractions, decimals and percentages by playing the Fractions, Decimals and Percentages Treasure Hunt game in the Fun Activities section of the Oxford Owl website. The more our children identify, discuss, use and play with fractions in their everyday lives, when eating or playing or when out and about, the easier they will find using them in all aspects of their lives. Oxford University Press 0 Fractions Calculations in School 9

20 Multiplying fraction madness game Cut out the fraction cards. Place them all upside down on a table. One player: Set a time limit for the game. Pick two cards. Multiply the two fractions, using paper as needed. See how many calculations you can complete in the given time. Two players: Each player picks two cards. Who can multiply their fractions first? (Use the method in the Multiplying fractions by fractions section on page to help you check your answers) Oxford University Press 0 Fractions Calculations in School 0

21 Resource sheets Pizza fractions halves thirds quarters fifths sixths Oxford University Press 0 eighths Fractions Calculations in School

### Fractions. If the top and bottom numbers of a fraction are the same then you have a whole one.

What do fractions mean? Fractions Academic Skills Advice Look at the bottom of the fraction first this tells you how many pieces the shape (or number) has been cut into. Then look at the top of the fraction

### 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

### Decimals and other fractions

Chapter 2 Decimals and other fractions How to deal with the bits and pieces When drugs come from the manufacturer they are in doses to suit most adult patients. However, many of your patients will be very

### 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

### 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

### 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

### north seattle community college

INTRODUCTION TO FRACTIONS If we divide a whole number into equal parts we get a fraction: For example, this circle is divided into quarters. Three quarters, or, of the circle is shaded. DEFINITIONS: The

Arithmetic 1 Progress Ladder Maths Makes Sense Foundation End-of-year objectives page 2 Maths Makes Sense 1 2 End-of-block objectives page 3 Maths Makes Sense 3 4 End-of-block objectives page 4 Maths Makes

### 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.

### Preliminary 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

### 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

### Simplifying Improper Fractions Poster

Simplifying Improper Fractions Poster Congratulations on your purchase of this Really Good Stuff Simplifying Improper Fractions Poster a reference tool showing students how to change improper fractions

### 47 Numerator Denominator

JH WEEKLIES ISSUE #22 2012-2013 Mathematics Fractions Mathematicians often have to deal with numbers that are not whole numbers (1, 2, 3 etc.). The preferred way to represent these partial numbers (rational

### Fractions Packet. Contents

Fractions Packet Contents Intro to Fractions.. page Reducing Fractions.. page Ordering Fractions page Multiplication and Division of Fractions page Addition and Subtraction of Fractions.. page Answer Keys..

### Welcome to Basic Math Skills!

Basic Math Skills Welcome to Basic Math Skills! Most students find the math sections to be the most difficult. Basic Math Skills was designed to give you a refresher on the basics of math. There are lots

### Fractions. Chapter 3. 3.1 Understanding fractions

Chapter Fractions This chapter will show you how to find equivalent fractions and write a fraction in its simplest form put fractions in order of size find a fraction of a quantity use improper fractions

### 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.

### 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

### Numeracy Preparation Guide. for the. VETASSESS Test for Certificate IV in Nursing (Enrolled / Division 2 Nursing) course

Numeracy Preparation Guide for the VETASSESS Test for Certificate IV in Nursing (Enrolled / Division Nursing) course Introduction The Nursing course selection (or entrance) test used by various Registered

### Pre-Algebra Lecture 6

Pre-Algebra 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

### REVIEW SHEETS BASIC MATHEMATICS MATH 010

REVIEW SHEETS BASIC MATHEMATICS MATH 010 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts that are taught in the specified math course. The sheets

### Decimal 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.

### Maths Workshop for Parents 2. Fractions and Algebra

Maths Workshop for Parents 2 Fractions and Algebra What is a fraction? A fraction is a part of a whole. There are two numbers to every fraction: 2 7 Numerator Denominator 2 7 This is a proper (or common)

### Adding and Subtracting Fractions. 1. The denominator of a fraction names the fraction. It tells you how many equal parts something is divided into.

Tallahassee Community College Adding and Subtracting Fractions Important Ideas:. The denominator of a fraction names the fraction. It tells you how many equal parts something is divided into.. The numerator

### FRACTIONS, DECIMALS AND PERCENTAGES

Fractions Fractions Part FRACTIONS, DECIMALS AND PERCENTAGES Fractions, decimals and percentages are all ways of expressing parts of a whole. Each one of these forms can be renamed using the other two

### Unit 2 Number and Operations Fractions: Multiplying and Dividing Fractions

Unit Number and Operations Fractions: Multiplying and Dividing Fractions Introduction In this unit, students will divide whole numbers and interpret the answer as a fraction instead of with a remainder.

### Maths Refresher. Working with Fractions

Maths Refresher Working with Fractions Working with fractions Learning intentions. Become familiar with fractions Equivalent fractions Converting mixed numbers to improper fractions Converting improper

### JUMP Math: Teacher's Manual for the Fractions Unit

JUMP Math: Teacher's Manual for the Unit J U N I O R U N D I S C O V E R E D M A T H P R O D I G I E S By John Mighton Fall 00 Table of Contents Teaching Units: 1..... Homework.... Tests... 1. Selected

### Contents. Subtraction (Taking Away)... 6. Multiplication... 7 by a single digit. by a two digit number by 10, 100 or 1000

This booklet outlines the methods we teach pupils for place value, times tables, addition, subtraction, multiplication, division, fractions, decimals, percentages, negative numbers and basic algebra Any

### PREPARATION 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 PRE-TEST

### MATHS ACTIVITIES FOR REGISTRATION TIME

MATHS ACTIVITIES FOR REGISTRATION TIME At the beginning of the year, pair children as partners. You could match different ability children for support. Target Number Write a target number on the board.

### All the examples in this worksheet and all the answers to questions are available as answer sheets or videos.

BIRKBECK MATHS SUPPORT www.mathsupport.wordpress.com Numbers 3 In this section we will look at - improper fractions and mixed fractions - multiplying and dividing fractions - what decimals mean and exponents

### 2.5 Adding and Subtracting Fractions and Mixed Numbers with Like Denominators

2.5 Adding and Subtracting Fractions and Mixed Numbers with Like Denominators Learning Objective(s) Add fractions with like denominators. 2 Subtract fractions with like denominators. Add mixed numbers

### How we teach calculations in Maths A Parent s Guide

How we teach calculations in Maths A Parent s Guide Belmont Maths Department 2011 1 Contents Introduction...Page 3 Maths at Belmont...Page 4 Addition...Page 5 Subtraction...Page 7 Multiplication...Page

### CALCULATIONS. Understand the operation of addition and the associated vocabulary, and its relationship to subtraction

CALCULATIONS Pupils should be taught to: Understand the operation of addition and the associated vocabulary, and its relationship to subtraction As outcomes, Year 4 pupils should, for example: Use, read

### 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

### 3 + 7 1 2. 6 2 + 1. 7 0. 1 200 and 30 100 100 10 10 10. Maths in School. Addition in School. by Kate Robinson

1 2. 6 2 + 1. 7 0 10 3 + 7 1 4. 3 2 1 231 200 and 30 100 100 10 10 10 Maths in School Addition in School by Kate Robinson 2 Addition in School Contents Introduction p.3 Adding in everyday life p.3 Coat

### 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

### Fraction Tools. Martin Kindt & Truus Dekker. ------------ 3n 4 -----

Fraction Tools - + - 0 - n + n Martin Kindt & Truus Dekker 0 Section A Comparing Fractions - Parts and pieces (). Of each figure, color part. Be as precise as possible.. Of each figure, color part. Each

### Numerical and Algebraic Fractions

Numerical and Algebraic Fractions Aquinas Maths Department Preparation for AS Maths This unit covers numerical and algebraic fractions. In A level, solutions often involve fractions and one of the Core

### LESSON 5 - DECIMALS INTRODUCTION

LESSON 5 - DECIMALS INTRODUCTION Now that we know something about whole numbers and fractions, we will begin working with types of numbers that are extensions of whole numbers and related to fractions.

### Parts and Wholes. In a tangram. 2 small triangles (S) cover a medium triangle (M) 2 small triangles (S) cover a square (SQ)

Parts and Wholes. L P S SQ M In a tangram small triangles (S) cover a medium triangle (M) small triangles (S) cover a square (SQ) L S small triangles (S) cover a parallelogram (P) small triangles (S) cover

### Make maths fun!! Give your child lots of praise and encouragement!

Make maths fun!! Give your child lots of praise and encouragement! Talk to your child about how you work things out. CALCULATION The maths work your child is doing at school may look very different to

### 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

### Mathematics Practice for Nursing and Midwifery Ratio Percentage. 3:2 means that for every 3 items of the first type we have 2 items of the second.

Study Advice Service Student Support Services Author: Lynn Ireland, revised by Dave Longstaff Mathematics Practice for Nursing and Midwifery Ratio Percentage Ratio Ratio describes the relationship between

### If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C?

Problem 3 If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C? Suggested Questions to ask students about Problem 3 The key to this question

### 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;

### Equivalent Conversions

Grades 6 8 Part 1 of 2 Poster/Teaching Guide Math Lessons & Worksheets to Build Skills in Equivalent Conversions Aligned with NCTM Standards Math Grants Available (details inside) Dear Teacher: Welcome

### Math Refresher. Book #2. Workers Opportunities Resources Knowledge

Math Refresher Book #2 Workers Opportunities Resources Knowledge Contents Introduction...1 Basic Math Concepts...2 1. Fractions...2 2. Decimals...11 3. Percentages...15 4. Ratios...17 Sample Questions...18

### MathSphere MATHEMATICS. Equipment. Y6 Fractions 6365 Round decimals. Equivalence between decimals and fractions

MATHEMATICS Y6 Fractions 6365 Round decimals. Equivalence between decimals and fractions Paper, pencil, ruler Fraction cards Calculator Equipment MathSphere 6365 Round decimals. Equivalence between fractions

### 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

### + Addition + Tips for mental / oral session 1 Early addition. Combining groups of objects to find the total. Then adding on to a set, one by one

+ Addition + We encourage children to use mental methods whenever possible Children may not need to be taught every step STEP Tips for mental / oral session Counting Concept & images Comments Early addition

### Addition Methods. Methods Jottings Expanded Compact Examples 8 + 7 = 15

Addition Methods Methods Jottings Expanded Compact Examples 8 + 7 = 15 48 + 36 = 84 or: Write the numbers in columns. Adding the tens first: 47 + 76 110 13 123 Adding the units first: 47 + 76 13 110 123

### Sect 3.2 - Least Common Multiple

Let's start with an example: Sect 3.2 - Least Common Multiple Ex. 1 Suppose a family has two different pies. If they have 2 3 of one type of pie and 3 of another pie, is it possible to combine the pies

### Foundation 2 Games Booklet

MCS Family Maths Night 27 th August 2014 Foundation 2 Games Booklet Stage Focus: Trusting the Count Place Value How are games used in a classroom context? Strategically selected games have become a fantastic

### Five daily lessons. Page 23. Page 25. Page 29. Pages 31

Unit 4 Fractions and decimals Five daily lessons Year 5 Spring term Unit Objectives Year 5 Order a set of fractions, such as 2, 2¾, 1¾, 1½, and position them on a number line. Relate fractions to division

### HFCC Math Lab Arithmetic - 4. Addition, Subtraction, Multiplication and Division of Mixed Numbers

HFCC Math Lab Arithmetic - Addition, Subtraction, Multiplication and Division of Mixed Numbers Part I: Addition and Subtraction of Mixed Numbers There are two ways of adding and subtracting mixed numbers.

### c sigma & CEMTL

c sigma & CEMTL Foreword The Regional Centre for Excellence in Mathematics Teaching and Learning (CEMTL) is collaboration between the Shannon Consortium Partners: University of Limerick, Institute of Technology,

FUN + GAMES = MATHS Sue Fine Linn Maskell Teachers are often concerned that there isn t enough time to play games in maths classes. But actually there is time to play games and we need to make sure that

### Session 7 Fractions and Decimals

Key Terms in This Session Session 7 Fractions and Decimals Previously Introduced prime number rational numbers New in This Session period repeating decimal terminating decimal Introduction In this session,

### Lesson Overview: Tell students that they are going to learn, how to identify equivalent fractions.

Teacher: Miss. Domonique Ragni Lesson Plan Title: Equivalent Fractions Grade Level: 3 rd grade Time allotted: 45 minutes Lesson Overview: Tell students that they are going to learn, how to identify equivalent

### Chapter 1: Order of Operations, Fractions & Percents

HOSP 1107 (Business Math) Learning Centre Chapter 1: Order of Operations, Fractions & Percents ORDER OF OPERATIONS When finding the value of an expression, the operations must be carried out in a certain

### Dr Brian Beaudrie pg. 1

Multiplication of Decimals Name: Multiplication of a decimal by a whole number can be represented by the repeated addition model. For example, 3 0.14 means add 0.14 three times, regroup, and simplify,

### Part 1 Part 2 Part 3 Part 4 Part 5. 440 000 What number is one less than 801 000? 800 999. order of size, smallest to

Questions and Answers for IKAN 1 1 What number is one more than 49? 50 What number is one What number is one more 599? 600 more 439 999? biggest, 0.639, 0.9, 0.84? 2 than 30? 29 one half. 1/2 one fifth.

### 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,

### Ch.4 Fractions and Mixed Numbers

Ch. Fractions and Mixed Numbers. An Introduction to Fractions. Multiplying Fractions. Dividing Fractions. Adding and Subtracting Fractions. Multiplying and Dividing Mixed Numbers.6 Adding and Subtracting

### My Math Chapter 8 Lesson 3. Use the two pictures below to answer the questions. Engage NY Lessons 5.4 (Appendix C)

7 Flex Day (Instruction Based on Data) Recommended Resources: Decomposing Fractions Pizza Share Give Em Chocolate 8 Use cuisinaire rods and tape diagrams to model equivalent fraction values. Determine

### 3 cups ¾ ½ ¼ 2 cups ¾ ½ ¼. 1 cup ¾ ½ ¼. 1 cup. 1 cup ¾ ½ ¼ ¾ ½ ¼. 1 cup. 1 cup ¾ ½ ¼ ¾ ½ ¼

cups cups cup Fractions are a form of division. When I ask what is / I am asking How big will each part be if I break into equal parts? The answer is. This a fraction. A fraction is part of a whole. The

### GUIDE TO EVERYTHING FRACTIONS

GUIDE TO EVERYTHING FRACTIONS A COMPLETE OVERVIEW FOR ALL THOSE WHO NEVER REALLY GOT IT THE FIRST TIME THROUGH. A GUIDE FOR STUDENTS, ADULTS AND TEACHERS JAMES TANTON CONTENTS: Page : What is a Fraction?

### Integers are positive and negative whole numbers, that is they are; {... 3, 2, 1,0,1,2,3...}. The dots mean they continue in that pattern.

INTEGERS Integers are positive and negative whole numbers, that is they are; {... 3, 2, 1,0,1,2,3...}. The dots mean they continue in that pattern. Like all number sets, integers were invented to describe

### Solution 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

### Lesson Plan -- Rational Number Operations

Lesson Plan -- Rational Number Operations Chapter Resources - Lesson 3-12 Rational Number Operations - Lesson 3-12 Rational Number Operations Answers - Lesson 3-13 Take Rational Numbers to Whole-Number

### Greatest Common Factor and Least Common Multiple

Greatest Common Factor and Least Common Multiple Intro In order to understand the concepts of Greatest Common Factor (GCF) and Least Common Multiple (LCM), we need to define two key terms: Multiple: Multiples

### Comparing and Ordering Fractions

Comparing and Ordering Fractions Objectives To review equivalent fractions; and to provide experience with comparing and ordering fractions. www.everydaymathonline.com epresentations etoolkit Algorithms

### Section 4.1 Rules of Exponents

Section 4.1 Rules of Exponents THE MEANING OF THE EXPONENT The exponent is an abbreviation for repeated multiplication. The repeated number is called a factor. x n means n factors of x. The exponent tells

### The GMAT Guru. Prime Factorization: Theory and Practice

. Prime Factorization: Theory and Practice The following is an ecerpt from The GMAT Guru Guide, available eclusively to clients of The GMAT Guru. If you would like more information about GMAT Guru services,

### Estimating Products (pages 256 258)

A Estimating Products (pages 8) You can use compatible numbers to estimate products when multiplying fractions. Compatible numbers are easy to divide mentally. A Estimate. means of.? For, the nearest multiple

### 1. When the least common multiple of 8 and 20 is multiplied by the greatest common factor of 8 and 20, what is the result?

Black Equivalent Fractions and LCM 1. When the least common multiple of 8 and 20 is multiplied by the greatest common factor of 8 and 20, what is the result? 2. The sum of three consecutive integers is

### Integers, I, is a set of numbers that include positive and negative numbers and zero.

Grade 9 Math Unit 3: Rational Numbers Section 3.1: What is a Rational Number? Integers, I, is a set of numbers that include positive and negative numbers and zero. Imagine a number line These numbers are

### Math Card Games to Print and Play

Math Card Games to Print and Play For School or Home Education by Teresa Evans Copyright 200 Teresa Evans. All rights reserved. Permission is given for the making of copies for use in the home or classroom

Ohio Standards Connection Number, Number Sense and Operations Benchmark C Represent commonly used fractions and mixed numbers using words and physical models. Indicator 5 Represent fractions and mixed

### A Numeracy Refresher

A Numeracy Refresher V2. January 2005 This material was developed and trialled by staff of the University of Birmingham Careers Centre and subsequently used widely throughout the HE Sector. The contributions

### YOU 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

### 4.1 Equivalent proportions

4 Fractions, decimals and percentages Master Check P9 Strengthen P95 4. Equivalent proportions You will learn to: Convert between fractions, decimals and percentages Compare fractions, decimals and percentages

### QM0113 BASIC MATHEMATICS I (ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION)

SUBCOURSE QM0113 EDITION A BASIC MATHEMATICS I (ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION) BASIC MATHEMATICS I (ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION) Subcourse Number QM 0113 EDITION

### FRACTIONS: EASY AS PIE! Grade Level: 4th Grade Presented by: Sue Gill, Clegern Elementary School, Edmond, Oklahoma Length of Unit: 7 lessons

FRACTIONS: EASY AS PIE! Grade Level: 4th Grade Presented by: Sue Gill, Clegern Elementary School, Edmond, Oklahoma Length of Unit: 7 lessons I. ABSTRACT This unit, "Fractions: Easy as Pie! is intended

### This explains why the mixed number equivalent to 7/3 is 2 + 1/3, also written 2

Chapter 28: Proper and Improper Fractions A fraction is called improper if the numerator is greater than the denominator For example, 7/ is improper because the numerator 7 is greater than the denominator

### Exponents. Exponents tell us how many times to multiply a base number by itself.

Exponents Exponents tell us how many times to multiply a base number by itself. Exponential form: 5 4 exponent base number Expanded form: 5 5 5 5 25 5 5 125 5 625 To use a calculator: put in the base number,

### DECIMAL COMPETENCY PACKET

DECIMAL COMPETENCY PACKET Developed by: Nancy Tufo Revised: Sharyn Sweeney 2004 Student Support Center North Shore Community College 2 In this booklet arithmetic operations involving decimal numbers are

### Multiplying Fractions

. Multiplying Fractions. OBJECTIVES 1. Multiply two fractions. Multiply two mixed numbers. Simplify before multiplying fractions 4. Estimate products by rounding Multiplication is the easiest of the four

TM parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE THREE 3 America s schools are working to provide higher quality instruction than ever before. The way we taught students in the past simply

### EARLY CHILDHOOD LITERACY AND NUMERACY BUILDING GOOD PRACTICE MARILYN FLEER AND BRIDIE RABAN

EARLY CHILDHOOD LITERACY AND NUMERACY BUILDING GOOD PRACTICE MARILYN FLEER AND BRIDIE RABAN EARLY CHILDHOOD LITERACY AND NUMERACY CARDS This set of cards has been developed to help you support young children

### How 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 pre-algebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics

### FRACTIONS. The student will be able to: Essential Fraction Vocabulary

FRACTIONS The student will be able to:. Perform basic operations with common fractions: addition, subtraction, multiplication, and division. Common fractions, such as /, /, and /, are used on the GED Test

### Maths methods Key Stage 2: Year 3 and Year 4

Maths methods Key Stage 2: Year 3 and Year 4 Maths methods and strategies taught in school now are very different from those that many parents learned at school. This can often cause confusion when parents

### Mathematics. Steps to Success. and. Top Tips. Year 5

Pownall Green Primary School Mathematics and Year 5 1 Contents Page 1. Multiplication and Division 3 2. Positive and Negative Numbers 4 3. Decimal Notation 4. Reading Decimals 5 5. Fractions Linked to