Hi... I am Fractionstein. Did you know that fractions are not as scary as you might think?

Size: px
Start display at page:

Download "Hi... I am Fractionstein. Did you know that fractions are not as scary as you might think?"

Transcription

1 Hi... I am Fractionstein. Did you know that fractions are not as scary as you might think? Learn along with me and you will be an expert at fractions in no time at all!

2 What are fractions? Fractions are parts of whole things. We use fractions every day! Zack played really well in the first half of the match! The time is quarter past twelve. Mia is ½ years old. Somebody has already eaten three-quarters of this pizza! Images: ThinkStock

3 We write fractions using a numerator and a denominator. The numerator tells us how many parts we have. The denominator tells us how many parts something was (or is) divided into. There are three pieces left. There were four pieces. There are five green buttons. There are eight buttons altogether. The There is one piece of cake left. cake was cut into six pieces. Images: ThinkStock

4 There are lots of different types of fractions. Here are some of them... Halves Thirds What fraction of my flag is coloured pink? Quarters Fifths What do you notice about the size of the pieces in each fraction? Eighths Tenths 0

5 If the denominators are the same, adding and subtracting fractions is easy. Did you know that we can add and subtract fractions? If the denominators are different, we have to change the fractions so that they have a common denominator ? ?

6 It is helpful if you can remember these fractions, decimals and percentages! Fraction Decimal Percentage 00% / 0. % / 0..% / 0. 0% / 0..% / 0. % / 0. 0% / 0..% /0 0. 0% / %

7 fraction numerator denominator common denominator Fractions are parts of whole things. cancel simplify decimal decimal point Cancelling fractions is when we divide the numerator and denominator by the same number This is the top number in a fraction. It tells us how many parts we have. Simplifying fractions means finding an equivalent fraction where the numerator and denominator are as small as they can be. This is the bottom number in a fraction. It tells us how many parts something was (or is) divided into. Decimal numbers contain a decimal point. They might also include tenths, hundredths and other numbers smaller than one. 0. Different fractions that all have the same denominator. This makes it easier to order, add and subtract them. A decimal point separates the whole numbers from the numbers that are smaller than one..0.0.

8 Can you work out these equivalent fractions? Sheet

9 Sheet Answers

10 Fractions Fractions Fractions / / / / / / / /0 /00 / / / / / / / /0 /00 / / / / / / / /0 /00

11 one whole one half 00% 0. 0% two halves 00% one third.. 0..%

12 0 0

13 What is one half as a decimal? 0. What is the top number in a fraction called? The Numerator How many tenths are there in one fifth? What is % as a decimal? 0. How many quarters are in one whole? How many tenths are in three fifths? What is half of a fifth? One tenth What is 0.0 as a percentage?

14

15 Thank you for looking at our preview resources. We hope that they are useful to you. Join us today to download thousands of resources from our popular Teaching Packs! Mark and Helen

Rational Number is a number that can be written as a quotient of two integers. DECIMALS are special fractions whose denominators are powers of 10.

Rational Number is a number that can be written as a quotient of two integers. DECIMALS are special fractions whose denominators are powers of 10. PA Ch 5 Rational Expressions Rational Number is a number that can be written as a quotient of two integers. DECIMALS are special fractions whose denominators are powers of 0. Since decimals are special

More information

Math 7 Notes Unit Three: Applying Rational Numbers

Math 7 Notes Unit Three: Applying Rational Numbers Math 7 Notes Unit Three: Applying Rational Numbers Strategy note to teachers: Typically students need more practice doing computations with fractions. You may want to consider teaching the sections on

More information

Know how to use fractions to describe part of something Write an improper fraction as a mixed number Write a mixed number as an improper fraction

Know how to use fractions to describe part of something Write an improper fraction as a mixed number Write a mixed number as an improper fraction . Fractions Know how to use fractions to describe part of something Write an improper fraction as a mixed number Write a mixed number as an improper fraction Key words fraction denominator numerator proper

More information

TOPIC 2 DECIMALS (and INTRODUCTION TO FRACTIONS) WEEK 3

TOPIC 2 DECIMALS (and INTRODUCTION TO FRACTIONS) WEEK 3 TOPIC DECIMALS (and INTRODUCTION TO FRACTIONS) WEEK 3 Association between Fractions and Decimals is a fraction. It means divided by. If we divide by the result is not a whole number. It is a half of whole

More information

Mathematics. Name: Class: Transforming Life chances

Mathematics. Name: Class: Transforming Life chances Mathematics Name: Class: Transforming Life chances Children first- Aspire- Challenge- Achieve Aspire: To be the best I can be in everything that I try to do. To use the adults and resources available both

More information

Topic 3: Fractions. Topic 1 Integers. Topic 2 Decimals. Topic 3 Fractions. Topic 4 Ratios. Topic 5 Percentages. Topic 6 Algebra

Topic 3: Fractions. Topic 1 Integers. Topic 2 Decimals. Topic 3 Fractions. Topic 4 Ratios. Topic 5 Percentages. Topic 6 Algebra Topic : Fractions Topic Integers Topic Decimals Topic Fractions Topic Ratios Topic Percentages Duration / weeks Content Outline PART (/ week) Introduction Converting Fractions to Decimals Converting Decimals

More information

In this lesson, we will use the order of operations to evaluate and simplify expressions that contain numbers and variables.

In this lesson, we will use the order of operations to evaluate and simplify expressions that contain numbers and variables. Show Me: Expressions M8081 Could we sit in a classroom on the other side of the world and still make sense of the mathematics? The answer is yes! Of course, we might not understand exactly what the teacher

More information

Released December Year. Small Steps Guidance and Examples. Block 2 - Fractions

Released December Year. Small Steps Guidance and Examples. Block 2 - Fractions Released December 07 Year 5 Small Steps Guidance and Examples Block - Fractions Year 5 Spring Term Teaching Guidance Overview Small Steps Equivalent fractions Improper fractions to mixed numbers Mixed

More information

For Exercises 1 5, the whole is one hundredths grid. Write fraction and decimal names for the shaded part.

For Exercises 1 5, the whole is one hundredths grid. Write fraction and decimal names for the shaded part. Applications For Exercises, the whole is one hundredths grid. Write fraction and decimal names for the shaded part...... 6. Name three fractions whose decimal equivalent is 0.. Explain how you know each

More information

and denominators of two fractions. For example, you could use

and denominators of two fractions. For example, you could use Learning Goal denominators. Open Question and denominators of two fractions. For example, you could use and 0. Make sure that some of your fractions are improper and some are proper. Make sure that some

More information

Fractions / 8 / / 10 1 ½ / 12

Fractions / 8 / / 10 1 ½ / 12 Fractions / 8 / 60 / ½ / 0 / What is a fraction? Loosely speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario. Can

More information

Pre-Algebra Notes Unit Five: Rational Numbers and Equations

Pre-Algebra Notes Unit Five: Rational Numbers and Equations Pre-Algebra Notes Unit Five: Rational Numbers and Equations Rational Numbers Rational numbers are numbers that can be written as a quotient of two integers. Since decimals are special fractions, all the

More information

To be able to count up and down in tenths

To be able to count up and down in tenths Progression Grid: Year Year 2 Year 3 Year Year Year 6 Counting in Fractional steps To be able to count in fractions up to 0, starting from any number and using the/2 and 2/ equivalence on the number line

More information

Equivalent fractions are

Equivalent fractions are MATHEMATICS 8 CHAPTER FRACTION OPERATIONS REVIEW: EQUIVALENT FRACTIONS AND IMPROPER FRACTIONS AND MIXED NUMBERS Date The numerator is The denominator is A proper fraction is An improper fraction is A mixed

More information

Pre-Algebra Notes Unit Five: Rational Numbers and Equations

Pre-Algebra Notes Unit Five: Rational Numbers and Equations Pre-Algebra Notes Unit Five: Rational Numbers and Equations Rational Numbers Rational numbers are numbers that can be written as a quotient of two integers. Since decimals are special fractions, all the

More information

Topic 2: Decimals. Topic 1 Integers. Topic 2 Decimals. Topic 3 Fractions. Topic 4 Ratios. Topic 5 Percentages. Topic 6 Algebra

Topic 2: Decimals. Topic 1 Integers. Topic 2 Decimals. Topic 3 Fractions. Topic 4 Ratios. Topic 5 Percentages. Topic 6 Algebra 41 Topic 2: Decimals Topic 1 Integers Topic 2 Decimals Topic 3 Fractions Topic 4 Ratios Duration 1/2 week Content Outline Introduction Addition and Subtraction Multiplying and Dividing by Multiples of

More information

Fractions and their Equivalent Forms

Fractions and their Equivalent Forms Fractions Fractions and their Equivalent Forms Little kids use the concept of a fraction long before we ever formalize their knowledge in school. Watching little kids share a candy bar or a bottle of soda

More information

Year 5 PROMPT sheet. Negative numbers 4 7 = -3. l l l l l l l l l Place value in numbers to 1million = 4

Year 5 PROMPT sheet. Negative numbers 4 7 = -3. l l l l l l l l l Place value in numbers to 1million = 4 Year PROMPT sheet Place value in numbers to million The position of the digit gives its size Millions Hundred thousands Ten thousands thousands hundreds tens units 7 Negative numbers A number line is very

More information

Step 1 The number name given in the question is five and sixty-eight-hundredths. We know that

Step 1 The number name given in the question is five and sixty-eight-hundredths. We know that Answers (1) 5.68 The number name given in the question is five and sixty-eight-hundredths. We know that hundredths can be represented as 1. So, we can write five and sixty-eight-hundredths as 5 and 68

More information

Gateway Regional School District VERTICAL ARTICULATION OF MATHEMATICS STANDARDS Grades K-4

Gateway Regional School District VERTICAL ARTICULATION OF MATHEMATICS STANDARDS Grades K-4 NUMBER SENSE & OPERATIONS K.N.1 Count by ones to at least 20. When you count, the last number word you say tells the number of items in the set. Counting a set of objects in a different order does not

More information

Class 4 Decimals. Answer the questions. For more such worksheets visit

Class 4 Decimals. Answer the questions. For more such worksheets visit ID : in-4-decimals [1] Class 4 Decimals For more such worksheets visit www.edugain.com Answer the questions (1) What is the place value of 4 in 365.704? (2) Write two and five-tenths as a decimal fraction.

More information

Summer 2013 Modules 9-13

Summer 2013 Modules 9-13 Summer 201 Modules 9-1 Mastering the Fundamentals Chris Millett Copyright 201 All rights reserved. Written permission must be secured from the author to use or reproduce any part of this book. Academic

More information

Fractions and their Equivalent Forms

Fractions and their Equivalent Forms Fractions Fractions and their Equivalent Forms Little kids use the concept of a fraction long before we ever formalize their knowledge in school. Watching little kids share a candy bar or a bottle of soda

More information

Name: Tutor s

Name: Tutor s Name: Tutor s Email: Bring a couple, just in case! Necessary Equipment: Black Pen Pencil Rubber Pencil Sharpener Scientific Calculator Ruler Protractor (Pair of) Compasses 018 AQA Exam Dates Paper 1 4

More information

Fractions and their Equivalent Forms

Fractions and their Equivalent Forms Fractions Fractions and their Equivalent Forms Little kids use the concept of a fraction long before we ever formalize their knowledge in school. Watching little kids share a candy bar or a bottle of soda

More information

Stage 4 Help Sheet. S4/2 Round to nearest 10, 100, 1000, S4/1 Count in multiples Now you must learn these multiples. S4/3 Negative numbers

Stage 4 Help Sheet. S4/2 Round to nearest 10, 100, 1000, S4/1 Count in multiples Now you must learn these multiples. S4/3 Negative numbers thousands hundreds tens thousands hundreds tens thousands hundreds tens Stage Help Sheet S/ Count in multiples Now you must learn these multiples Multiples of 6 Multiples of 7 Multiples of 9 Multiples

More information

Stage 4 PROMPT sheet. 4/2 Round to nearest 10, 100, 1000, 4/1 Count in multiples Now you must learn these multiples. 4/3 Negative numbers

Stage 4 PROMPT sheet. 4/2 Round to nearest 10, 100, 1000, 4/1 Count in multiples Now you must learn these multiples. 4/3 Negative numbers Stage PROMPT sheet / Count in multiples Now you must learn these multiples Multiples of 6 Multiples of 7 Multiples of 9 Multiples of 6 7 9 0 7 7 6 00 0 6 0 9 6 7 6 7 00 6 60 70 90 0 / Round to nearest

More information

Pre-Algebra Notes Unit Five: Rational Numbers and Equations

Pre-Algebra Notes Unit Five: Rational Numbers and Equations Pre-Algebra Notes Unit Five: Rational Numbers and Equations Rational Numbers Rational numbers are numbers that can be written as a quotient of two integers. Since decimals are special fractions, all the

More information

DECIMALS are special fractions whose denominators are powers of 10.

DECIMALS are special fractions whose denominators are powers of 10. Ch 3 DECIMALS ~ Notes 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

More information

GENERAL MATH FOR PASSING

GENERAL MATH FOR PASSING GENERAL MATH FOR PASSING Your math and problem solving skills will be a key element in achieving a passing score on your exam. It will be necessary to brush up on your math and problem solving skills.

More information

UNIT 4 INTRODUCTION TO FRACTIONS AND DECIMALS

UNIT 4 INTRODUCTION TO FRACTIONS AND DECIMALS UNIT 4 INTRODUCTION TO FRACTIONS AND DECIMALS INTRODUCTION In this Unit, we will investigate fractions and decimals. We have seen fractions before in the context of division. For example, we can think

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

Rev Name Date. . Round-off error is the answer to the question How wrong is the rounded answer?

Rev Name Date. . Round-off error is the answer to the question How wrong is the rounded answer? Name Date TI-84+ GC 7 Avoiding Round-off Error in Multiple Calculations Objectives: Recall the meaning of exact and approximate Observe round-off error and learn to avoid it Perform calculations using

More information

What is a Fraction? Fractions. One Way To Remember Numerator = North / 16. Example. What Fraction is Shaded? 9/16/16. Fraction = Part of a Whole

What is a Fraction? Fractions. One Way To Remember Numerator = North / 16. Example. What Fraction is Shaded? 9/16/16. Fraction = Part of a Whole // Fractions Pages What is a Fraction? Fraction Part of a Whole Top Number? Bottom Number? Page Numerator tells how many parts you have Denominator tells how many parts are in the whole Note: the fraction

More information

Answer Key. Name. Here is a birthday cake cut into pieces. How many pieces do you see? ANSWER: 24 pieces

Answer Key. Name. Here is a birthday cake cut into pieces. How many pieces do you see? ANSWER: 24 pieces Here is a birthday cake cut into pieces. How many pieces do you see? ANSWER: pieces COMMENTS & EXTENSIONS: Trace your hand on graph paper. How many of the graph paper squares does your hand cover? Which

More information

Fractions and their Equivalent Forms

Fractions and their Equivalent Forms Fractions Fractions and their Equivalent Forms Little kids use the concept of a fraction long before we ever formalize their knowledge in school. Watching little kids share a candy bar or a bottle of soda

More information

Module 1 - Applications: Visually Modeling Fractions

Module 1 - Applications: Visually Modeling Fractions Applications: Visually Modeling Fractions Inquire: How to Model Fraction Operations Overview When learning, it can be said that we forget more when we focus on memorizing steps over making sense of our

More information

Teaching Math thru Big Ideas Focusing on Differentiation. Marian Small April 2017 San Diego, CA

Teaching Math thru Big Ideas Focusing on Differentiation. Marian Small April 2017 San Diego, CA Teaching Math thru Big Ideas Focusing on Differentiation Marian Small April 2017 San Diego, CA Our focus today Differentiation by focusing on big ideas Formative assessment/feedback Planning lessons/units

More information

Unit: Rational Number Lesson 3.1: What is a Rational Number? Objectives: Students will compare and order rational numbers.

Unit: Rational Number Lesson 3.1: What is a Rational Number? Objectives: Students will compare and order rational numbers. Unit: Rational Number Lesson 3.: What is a Rational Number? Objectives: Students will compare and order rational numbers. (9N3) Procedure: This unit will introduce the concept of rational numbers. This

More information

Thousands. Hundreds. Tenths. Ones. Tens. Hundredths. Decimal Point. Thousandths. Place Value. 1000s 100s 10s 1s.

Thousands. Hundreds. Tenths. Ones. Tens. Hundredths. Decimal Point. Thousandths. Place Value. 1000s 100s 10s 1s. Place Value Thousandths Hundredths Tenths Decimal Point Ones Tens Hundreds Thousands 000s 00s 0s s. 0 00 000 Know the meanings of these column headings is very important. It tells us the value of each

More information

Lesson 6. Parts of a Whole - Decimals

Lesson 6. Parts of a Whole - Decimals Math 5 Lesson 6 Parts of a Whole - Decimals Canada Geese Canada Geese can be identified by their long black neck, black head, crown and bill. The back and feathers on top of their wings are shades of brown.

More information

Lesson 1: THE DECIMAL SYSTEM

Lesson 1: THE DECIMAL SYSTEM Lesson 1: THE DECIMAL SYSTEM The word DECIMAL comes from a Latin word, which means "ten. The Decimal system uses the following ten digits to write a number: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Each time

More information

MATH WIZARD USER GUIDE. Page 1 of 15. Created by Landorocks 2007 Teacher Created Resources, Inc. TCR1234 Math Wizard

MATH WIZARD USER GUIDE. Page 1 of 15. Created by Landorocks 2007 Teacher Created Resources, Inc. TCR1234 Math Wizard MATH WIZARD USER GUIDE Created by Landorocks 2007 Teacher Created Resources, Inc. TCR1234 Math Wizard Page 1 of 15 TABLE OF CONTENTS: I. SYSTEM REQUIREMENTS... 2 II. INSTALLATION INSTRUCTIONS... 2 III.

More information

Fractions. There are several terms that are commonly used when working with fractions.

Fractions. There are several terms that are commonly used when working with fractions. Chapter 0 Review of Arithmetic Fractions There are several terms that are commonly used when working with fractions. Fraction: The ratio of two numbers. We use a division bar to show this ratio. The number

More information

Fractions with a denominator of 10, 100 or can be written as decimals. A decimal is any number which has a decimal comma.

Fractions with a denominator of 10, 100 or can be written as decimals. A decimal is any number which has a decimal comma. 101 Unit 8 Decimals Fractions with a denominator of 10, or 1 000 can be written as decimals. A decimal is any number which has a decimal comma. A decimal comma separates whole numbers from tenths, hundredths

More information

Gateway Regional School District VERTICAL ALIGNMENT OF MATHEMATICS STANDARDS Grades 3-6

Gateway Regional School District VERTICAL ALIGNMENT OF MATHEMATICS STANDARDS Grades 3-6 NUMBER SENSE & OPERATIONS 3.N.1 Exhibit an understanding of the values of the digits in the base ten number system by reading, modeling, writing, comparing, and ordering whole numbers through 9,999. Our

More information

Place Value to Thousands

Place Value to Thousands Place Value to Thousands You can show,0 in a place-value chart. The value of each digit in a number depends on its place in the number. In,0 the value of: is hundred thousand or 00,000. is ten thousands

More information

Lecture 1: Digital Systems and Number Systems

Lecture 1: Digital Systems and Number Systems Lecture 1: Digital Systems and Number Systems Matthew Shuman September 26th, 2012 The Digital Abstraction 1.3 in Text Analog Systems Analog systems are continuous. Look at the analog clock in figure 1.

More information

What is a Fraction? A fraction is a part or piece of something. The way we write fractions tells us the size of the piece we are referring to

What is a Fraction? A fraction is a part or piece of something. The way we write fractions tells us the size of the piece we are referring to October 0, 0 What is a Fraction? A fraction is a part or piece of something. The way we write fractions tells us the size of the piece we are referring to ⅝ is the numerator is the denominator is the whole

More information

Everyday Math and the Indiana Academic Standards for Grade 4 Mathematics

Everyday Math and the Indiana Academic Standards for Grade 4 Mathematics Unit One 1.2-1.3 Identify, describe, and draw rays, right angles, acute angles, 4.4.1 Geometry Right Time Geometry obtuse angles and straight angles using appropriate mathematical tools and technology.

More information

Mathematical Practices

Mathematical Practices Middletown Public Schools Mathematics Unit Planning Organizer Subject Mathematics -Number and Operations - Fractions Grade 4 Unit 4 Comparing Fractions and Understanding Decimal Notation Duration 0 Instructional

More information

Supporting our children to aim high!

Supporting our children to aim high! Reach for the Sky Supporting our children to aim high! St Mary s CE School Maths Support Resources Parents often ask us, how can I help my child in maths? Firstly, we provide parents with the expectations

More information

CONTENTS. Functional Maths and Numeracy study guide Name 1) THE FOUR RULES OF ARITHMETIC 6) ROUNDING 2) MEASURES, SHAPE AND SPACE 8) NEGATIVE NUMBERS

CONTENTS. Functional Maths and Numeracy study guide Name 1) THE FOUR RULES OF ARITHMETIC 6) ROUNDING 2) MEASURES, SHAPE AND SPACE 8) NEGATIVE NUMBERS Name CONTENTS 1) THE FOUR RULES OF ARITHMETIC Addition (page 2) Addition of decimals (page 4) Subtraction (page 5) Subtraction of decimals (page 8) Subtraction other methods (page 9) Multiplication (page

More information

or 5.00 or 5.000, and so on You can expand the decimal places of a number that already has digits to the right of the decimal point.

or 5.00 or 5.000, and so on You can expand the decimal places of a number that already has digits to the right of the decimal point. 1 LESSON Understanding Rational and Irrational Numbers UNDERSTAND All numbers can be written with a For example, you can rewrite 22 and 5 with decimal points without changing their values. 22 5 22.0 or

More information

_ _ _ _ _ _. Add and Subtract Parts of a Whole R54. Name. Justin has 3_. How much cheese does he have in all?

_ _ _ _ _ _. Add and Subtract Parts of a Whole R54. Name. Justin has 3_. How much cheese does he have in all? Lesson 7.1 Add and Subtract Parts of a Whole Justin has 8pound of cheddar cheese and 2_ 8pound of brick cheese. How much cheese does he have in all? Step 1 Use fraction strips to model the problem. Use

More information

50 MATHCOUNTS LECTURES (6) OPERATIONS WITH DECIMALS

50 MATHCOUNTS LECTURES (6) OPERATIONS WITH DECIMALS BASIC KNOWLEDGE 1. Decimal representation: A decimal is used to represent a portion of whole. It contains three parts: an integer (which indicates the number of wholes), a decimal point (which separates

More information

Add and Subtract Parts of a Whole

Add and Subtract Parts of a Whole Lesson 7. Add and Subtract Parts of a Whole Justin has _ pound of cheddar cheese and 2_ pound of brick cheese. How much cheese does he have in all? Step Use fraction strips to model the problem. Use three

More information

Multiplying and Dividing Fractions 2

Multiplying and Dividing Fractions 2 Unit : Linear Equations Name Directions: Solve. Multiplying and Dividing Fractions 7 Appendix B: Answer Keys Transparency/Guided Practice Book Answers 4 Unit : Linear Equations Name Directions: Calculate.

More information

Learning Log Title: CHAPTER 3: PORTIONS AND INTEGERS. Date: Lesson: Chapter 3: Portions and Integers

Learning Log Title: CHAPTER 3: PORTIONS AND INTEGERS. Date: Lesson: Chapter 3: Portions and Integers Chapter 3: Portions and Integers CHAPTER 3: PORTIONS AND INTEGERS Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Chapter 3: Portions and Integers Date: Lesson: Learning Log Title:

More information

Math Fundamentals for Statistics (Math 52) Unit 3: Addition and Subtraction. Scott Fallstrom and Brent Pickett The How and Whys Guys.

Math Fundamentals for Statistics (Math 52) Unit 3: Addition and Subtraction. Scott Fallstrom and Brent Pickett The How and Whys Guys. Math Fundamentals for Statistics (Math 52) Unit 3: Addition and Subtraction Scott Fallstrom and Brent Pickett The How and Whys Guys Unit 3 Page 1 3.1: Place Value (Addition Preview) Our system is a base-ten,

More information

CS101 Lecture 04: Binary Arithmetic

CS101 Lecture 04: Binary Arithmetic CS101 Lecture 04: Binary Arithmetic Binary Number Addition Two s complement encoding Briefly: real number representation Aaron Stevens (azs@bu.edu) 25 January 2013 What You ll Learn Today Counting in binary

More information

Fractions and Decimals

Fractions and Decimals Chapter Fractions and Decimals FRACTION: A fraction is a number representing a part of a whole. The whole may be a single object or a group of objects. 5 is a fraction with numerator and denominator 5.

More information

What s Half of a Half of a Half?

What s Half of a Half of a Half? Overview Activity ID: 8606 Math Concepts Materials Students will use a physical model to determine what happens fractions TI-0XS when they repeatedly halve a piece of paper, and then they decimals MultiView

More information

Year 4 term 3&4 Points in italics are either where statements have been moved from other year groups or to support progression where no statement is

Year 4 term 3&4 Points in italics are either where statements have been moved from other year groups or to support progression where no statement is Oral and Mental calculation Read and write numbers with one decimal place up to 10,000. Count on and back in 1s, 10 s or 100 s from any number up to 10,000. Count forwards and backwards in equal steps

More information

add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)

add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction) I created these worksheets because I think it is useful to have regular practice of calculation methods away from the point of teaching. There are worksheets. Questions are aligned to the Year curriculum,

More information

HOW TO DIVIDE: MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm. WORD DEFINITION IN YOUR WORDS EXAMPLE

HOW TO DIVIDE: MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm. WORD DEFINITION IN YOUR WORDS EXAMPLE MCC6.NS. Fluently divide multi-digit numbers using the standard algorithm. WORD DEFINITION IN YOUR WORDS EXAMPLE Dividend A number that is divided by another number. Divisor A number by which another number

More information

Expressing Decimal Numbers in Word Form

Expressing Decimal Numbers in Word Form Expressing Decimal Numbers in Word Form Sep 27 10:17 PM 1 When reading decimal numbers, the decimal can be expressed by saying decimal, point or and. Example: A) 307 518.537 Three hundred seven thousand

More information

Medical Dosage Calculations

Medical Dosage Calculations Medical Dosage Calculations Ninth Edition Chapter 1 Review of Arithmetic for Medical Dosage Calculations Learning Outcomes 1. Convert decimal numbers to fractions. 2. Convert fractions to decimal numbers.

More information

Fraction Arithmetic. A proper fraction is a fraction with a smaller numerator than denominator.

Fraction Arithmetic. A proper fraction is a fraction with a smaller numerator than denominator. Fraction Arithmetic FRAX is a game that is designed to help you and your student/child master fractions, but it does not teach them the basics. I ve put together this document to help remind you about

More information

Math 6 Unit 03 Part B-NOTES Fraction Operations

Math 6 Unit 03 Part B-NOTES Fraction Operations Math Unit 0 Part B-NOTES Fraction Operations Review/Prep for.ns Adding and Subtracting Fractions With Unlike Denominators Note: You can use any common denominator to add and subtract unlike fractions;

More information

MATH LEVEL 2 LESSON PLAN 5 DECIMAL FRACTIONS Copyright Vinay Agarwala, Checked: 1/22/18

MATH LEVEL 2 LESSON PLAN 5 DECIMAL FRACTIONS Copyright Vinay Agarwala, Checked: 1/22/18 Section 1: The Decimal Number MATH LEVEL 2 LESSON PLAN 5 DECIMAL FRACTIONS 2018 Copyright Vinay Agarwala, Checked: 1/22/18 1. The word DECIMAL comes from a Latin word, which means "ten. The Decimal system

More information

Student Success Center Arithmetic Study Guide for the ACCUPLACER (CPT)

Student Success Center Arithmetic Study Guide for the ACCUPLACER (CPT) Fractions Terms Numerator: which tells how many parts you have (the number on top) Denominator: which tells how many parts in the whole (the number on the bottom) is parts have a dot out of Proper fraction:

More information

Answers Investigation 1

Answers Investigation 1 Answers Investigation Applications. ; Possible explanation: 9 9 more than. is, so 0 9 is. ; Possible explanation: Since 8 6 =, 9 6 is close to.. ; Possible explanation: 6 is only 6 less than whole. 4.

More information

Name Student ID Number. Group Name. Group Members. Fractions

Name Student ID Number. Group Name. Group Members. Fractions Name Student ID Number Group Name Group Members Fractions Many people struggle with and even fear working with fractions. Part of the reason people struggle is because they do not know what a fraction

More information

Millburn Academy. Numeracy Across Learning. Name. Department

Millburn Academy. Numeracy Across Learning. Name. Department Millburn Academy Numeracy Across Learning Name Department Introduction Aim of this Booklet This booklet has been produced as the first step towards teaching numeracy across the curriculum in a consistent

More information

I can use number bonds and matching subtraction facts up to 20.

I can use number bonds and matching subtraction facts up to 20. Year 1, Maths end of year expectations I can count to and past 100. Forwards and backwards starting from any number. I can count, read and write numbers to 100 in numerals and count in jumps of 2, 5 and

More information

Adding and Subtracting with Decimals

Adding and Subtracting with Decimals Adding and Subtracting with Decimals Before you can add or subtract numbers with decimals, all the decimal points must be lined up. (It will help if you use zeros to fill in places so that the numbers

More information

Stage 5 PROMPT sheet. 5/3 Negative numbers 4 7 = -3. l l l l l l l l l /1 Place value in numbers to 1million = 4

Stage 5 PROMPT sheet. 5/3 Negative numbers 4 7 = -3. l l l l l l l l l /1 Place value in numbers to 1million = 4 Stage PROMPT sheet / Place value in numbers to million The position of the digit gives its size / Negative numbers A number line is very useful for negative numbers. The number line below shows: 7 - l

More information

Name: Date: College Prep Math 1 1 = = 5 5

Name: Date: College Prep Math 1 1 = = 5 5 Name: Date: College Prep Math. Find two fractions equivalent to the following fraction. Enter the numerator. = = 5 5. Find the equivalent fraction with the indicated denominator. 8 9 = 6? 8 9 = 6. Find

More information

Stage 5 PROMPT sheet. 5/3 Negative numbers 4 7 = -3. l l l l l l l l l /1 Place value in numbers to 1million = 4

Stage 5 PROMPT sheet. 5/3 Negative numbers 4 7 = -3. l l l l l l l l l /1 Place value in numbers to 1million = 4 Millions Hundred thousands Ten thousands Thousands Hundreds Tens Ones Stage PROMPT sheet / Place value in numbers to million The position of the digit gives its size / Negative numbers A number line is

More information

Reteaching. Comparing and Ordering Integers

Reteaching. Comparing and Ordering Integers - Comparing and Ordering Integers The numbers and - are opposites. The numbers 7 and -7 are opposites. Integers are the set of positive whole numbers, their opposites, and zero. 7 6 4 0 negative zero You

More information

Basic Number Properties (LMU)

Basic Number Properties (LMU) Basic Number Properties (LMU) There are three basic properties of numbers, and every math problem you have ever worked has obeyed these properties. Although these properties may seem simple and of no importance,

More information

Topic C. Communicating the Precision of Measured Numbers

Topic C. Communicating the Precision of Measured Numbers Topic C. Communicating the Precision of Measured Numbers C. page 1 of 14 Topic C. Communicating the Precision of Measured Numbers This topic includes Section 1. Reporting measurements Section 2. Rounding

More information

1.- DECIMAL PLACE VALUE: tenths, hundredths, thousandths. 1.1 Ordering decimals. 1.2 Rounding CALCULATIONS. 2.- ADDITION AND SUBTRACTION OF DECIMALS

1.- DECIMAL PLACE VALUE: tenths, hundredths, thousandths. 1.1 Ordering decimals. 1.2 Rounding CALCULATIONS. 2.- ADDITION AND SUBTRACTION OF DECIMALS 1 1.- DECIMAL PLACE VALUE: tenths, hundredths, thousandths. 1.1 Ordering decimals. 1.2 Rounding CALCULATIONS. 2.- ADDITION AND SUBTRACTION OF DECIMALS 3.- MULTIPLICATION AND DIVISION. 3.1 Multiplication

More information

Number & Place Value. Learning Objective. Does my teacher think I have met this L.O.? How confident am I?

Number & Place Value. Learning Objective. Does my teacher think I have met this L.O.? How confident am I? Year 3 Number & Place Value To recognise the place value of each digit in a 3-digit number To represent 3-digit numbers in different ways To read and write numbers up to 1000 in numerals and words To compare

More information

x 2 + 3, r 4(x) = x2 1

x 2 + 3, r 4(x) = x2 1 Math 121 (Lesieutre); 4.2: Rational functions; September 1, 2017 1. What is a rational function? It s a function of the form p(x), where p(x) and q(x) are both polynomials. In other words, q(x) something

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

Revision on fractions and decimals

Revision on fractions and decimals Revision on fractions and decimals Fractions 1. Addition and subtraction of fractions (i) For same denominator, only need to add the numerators, then simplify the fraction Example 1: " + $ " = &$ " (they

More information

You can also create your own maze! Using the board and pieces from pages 7 and 8, build your own maze, then create the code to solve it.

You can also create your own maze! Using the board and pieces from pages 7 and 8, build your own maze, then create the code to solve it. Coding with Botley Printables Activity Discover even more coding fun with these free printable coding challenges from BotleyTM the Coding Robot! With the help of an adult, cut out the coding cards from

More information

DesCartes: A Continuum of Learning

DesCartes: A Continuum of Learning Ratios and Proportional Relationships Ratios and Proportional Relationships Ratios and Proportional Relationships Completes arithmetic growth patterns in number tables by identifying the missing elements

More information

NON-CALCULATOR ARITHMETIC

NON-CALCULATOR ARITHMETIC Mathematics Revision Guides Non-Calculator Arithmetic Page 1 of 30 M.K. HOME TUITION Mathematics Revision Guides: Level: GCSE Foundation Tier NON-CALCULATOR ARITHMETIC Version: 3.2 Date: 21-10-2016 Mathematics

More information

place value Thousands Hundreds Tens Units

place value Thousands Hundreds Tens Units Number add total altogether sum plus + take away subtract minus the difference multiply times lots of groups of product divide share equally remainder (rem.) digit two digit numbers three digit numbers

More information

FRACTIONS AND DECIMALS

FRACTIONS AND DECIMALS Mathematics Revision Guides Fractions and Decimals Page of MK HOME TUITION Mathematics Revision Guides Level: GCSE Foundation Tier FRACTIONS AND DECIMALS Version: Date: -0-0 Mathematics Revision Guides

More information

!"#$%&' (%) Partial marks will be given for solutions that are partially correct. Each question is worth 3 marks. "*2%'# """""" * * * *

!#$%&' (%) Partial marks will be given for solutions that are partially correct. Each question is worth 3 marks. *2%'#  * * * * Attention: Do all your work on a separate piece of paper. Remember to write your name, date and Form A at the top. Total Marks = Pass = 10 Partial marks will be given for solutions that are partially correct.

More information

Module 6. Campaign Layering

Module 6.  Campaign Layering Module 6 Email Campaign Layering Slide 1 Hello everyone, it is Andy Mackow and in today s training, I am going to teach you a deeper level of writing your email campaign. I and I am calling this Email

More information

NF5-21 Multiplying Unit Fractions Pages 13 14

NF5-21 Multiplying Unit Fractions Pages 13 14 NF- Multiplying Unit Fractions Pages STANDARDS.NF.B. Goals Students will develop and apply the formula for multiplying unit fractions by unit fractions. Vocabulary denominator numerator of (to mean multiply

More information

Math 7 Notes Unit Three: Applying Rational Numbers

Math 7 Notes Unit Three: Applying Rational Numbers Math 7 Notes Unit Three: Applying Rational Numbers Strategy note to teachers: Typically students need more practice doing computations with fractions. You may want to consider teaching the sections on

More information

Adding and Subtracting Integers

Adding and Subtracting Integers Quarterly 1 Review Sheet (NOTE: This may not include everything you need to know for tomorrow about every topic. It is student created and I am just sharing it in case you find it helpful) Page 1: Adding

More information

Evacuees Codes. Ration books World War Two The Home Front Air raids and planes

Evacuees Codes. Ration books World War Two The Home Front Air raids and planes Evacuees Codes Ration books Air raids and planes War time cooking Dig for victory A Year 3 and 4 topic for the Autumn term. Year 3 statements in red. Year 4 statements in blue. This topic was based on

More information

Fractions Decimals Percents

Fractions Decimals Percents 1 Fractions Decimals Percents Name TAG 2 Fractions to Decimals There are ways to convert fractions to decimals. 1. Use place value 2. Using equivalent fractions with denominators of,, 0, etc.. Use long

More information