Thousands. Hundreds. Tenths. Ones. Tens. Hundredths. Decimal Point. Thousandths. Place Value. 1000s 100s 10s 1s.
|
|
- Pauline Hunter
- 5 years ago
- Views:
Transcription
1 Place Value Thousandths Hundredths Tenths Decimal Point Ones Tens Hundreds Thousands 000s 00s 0s s Know the meanings of these column headings is very important. It tells us the value of each digit. This can be especially useful when rounding to significant figures, multiplying and dividing by 0,00,000, converting between fractions decimals and percentages and long multiplication and division. For example This digit is not just worth 7. It has a value of 700. This digit is not just 9. It is worth 9 ones. he same as nine whole ones or ninety tenths, or 0.9 tens. This digit is not worth 7. It has a value of 7 thousandths or 7 000
2 MULTIPLICATION You must learn your tables Just do it!! Long Multiplication GRID METHOD Example 8 X 88 X Add the numbers up Example X 9 9 X Sum of each row 80 9 Pitfall: Don t forget zeros Line up columns for addition
3 CHINESE METHOD 8 X Pitfall: Make sure you get the diagonals the right way. This is a quick and reliable method to use DECOMPOSITION METHOD Example X 8 Method 0 X 0 X Example 7 X 08 Method 0 X 80 7 X Pitfall: This only works if you are multiplying by one digit (i.e. single digits)
4 DIVISION Method - Bus stop method Example ³ 0 s into 8 go remainder, carry the s into go remainder, carry the s into 0 go 8 So 80 8 Example 0 ² s into go s into go 0 carry the s into go So 0
5 Example : 78 Method Write out the times table up to 9x into 7 goes 0 carry the 7 into 78 goes remainder 9, carry the 9 into 9 goes. So 78 Example 7 9 Method Write out the 9 times table up to 9x into goes 0 carry the 9 into goes remainder, carry the 9 into 7 goes remainder 9, carry the 9 9 into 9 goes. So 7 9 7
6 Multiplying by 0, 00 and x 0 80 (Add a zero) 8 x (Add zeros) 8 x (Add zeros).8 x 0 8. (Move the decimal point one place to the right).8 x (Move the decimal point two places to the right).8 x (Move the decimal point three places to the right) Dividing by 0, 00 and (Move the digits one place to the right) (Move the digits two places to the right) (Move the digits three places to the right) (Move the digits one place to the right) (Move the digits two places to the right) (Move the digits three places to the right) 8
7 BIDMAS B Brackets I Indices D Division M Multiplication A Addition S Subtraction When you do long calculations you must work them out according to the order of operations. BIDMAS helps you to remember the order. Example + ( x 8) Brackets first + Division + Addition 9 Example ² x (-7) Brackets first ² x 8 Indices 9 x 8 Multiplication 7 9
8 Fractions Equivalent Fractions Equivalent fractions have the same value, even though they may look different. These fractions all have the same value: 9 8 If you multiply or divide the numerator and denominator by the same number the fraction keeps its value: 9 Finding equivalent fractions: 9 8 Simplifying Fractions: Converting Mixed Number and Improper Fractions Mixed number improper fraction Multiply the denominator by the integer For example:. Add the product to the numerator + 7 0
9 Converting Improper Fractions to Mixed Numbers To convert between improper fractions you divide and find the remainder. remainder 0 r Multiplying Fractions Multiply the numerators and the denominators: Always simplify Dividing Fractions When dividing fraction turn the second fraction on it s head ( Flip it ) and then multiply Flip the second fraction on it s head then multiply becomes
10 Multiplying Fractions and Integers When multiplying fractions and integers change the integer (whole number) into a fraction with a denominator of. Multiplying and Dividing Mixed Numbers When multiplying and dividing mixed numbers we first convert them into improper (top-heavy) fractions remainder 8 Cross-Cancelling By looking for common factors we can speed up difficult questions of multiplying fractions. Cancel by a factor of Cancel by a factor of Cancel by a factor of Cancel by a factor of
11 Adding and Subtracting Fractions To add and subtract fractions you have to use your equivalent fraction skills. When fractions have the same denominator (bottom numbers) we can add the numerators (top numbers). 8 When fractions have the same denominator we can add the numerators Simplify Adding and Subtracting Mixed Numbers: Method : The first method for adding and subtracting mixed numbers is to change first into improper fractions
12 Adding and Subtracting Mixed Numbers: Method : Another method of adding and subtracting mixed numbers is to add and subtract the whole numbers (integers) and fractions separately. This method is quicker, but it can be confusing when you combine the whole numbers and fractions together at the end. Whole numbers (integers) It can be confusing... Fractions Combine whole numbers and fractions + 0 Final answer It can be confusing when the fractions total is an improper fraction (top-heavy) or a negative number.
13 Non Calculator Finding the Percentage of a Value % Divide by 00 % Divide by 00 and double it % Find 0% and halve it / % Halve % % Calculate % and % and add 0% Divide by 0 % Find 0% and % and add 0% Find 0% and double it % Halve and halve again (or divide by ) 0% Find 0% and multiply by 0% Halve it 7% Find 0% and % and add Example Find % of 0%.0, 0% x %., % x Note for money there must be decimal places (or none) so the acceptable answers are 0.00 or 0. Example Find / % of 0%., % 0.8 / % 0. / % 0% + / %, so / Non Calculator Finding Percentage Increase or Decrease The Glossary contains vocabulary associated with increase and decrease. Example Increase by %. From example Finding a Percentage find % of ( 0). Increased amount is + 0 Example Decrease by / % From example Finding a Percentage find / % of () Decreased amount is -
14 Calculator Method for Finding the Percentage Of, and Increasing or Decreasing a Value Method uses decimal multipliers. To change a percentage to decimal see page on changing fractions/decimals and percentages. Finding a Percentage of a Value Change percentage into decimal by dividing by 00 Multiply decimal by the value. Find 7% of 8 7% 0.7 7% of x 8. Example Example Find 8.% of.7 8.% % of x Finding a Percentage Increase or Decrease In percentage questions, the first event in time is 00% If the cost of downloading songs from itunes was p what will it be if it increases by %? First event, is 00% Second event is % more, so 0% The decimal multiplier for 0% is.0 (divide by 00) Calculation is x.0. because this is money we must round to the nearest penny, p
15 The method works for decrease as well. If a pair of trainers is 0% off in the sale what will be the sale price? First event, is 00% Second event is 0% less, so 0% The decimal multiplier for 0% is 0.0 (divide by 00) Calculation is x
16 Changing between Fractions, Decimals and Percentages Fraction Example put t he percent age as numerat or and 00 as denominat or and simplify The percentage is the numerator value of the equivalent fraction with a denominator of 00 Example Example divide the numerator by the denominator the digits are the numerator and the final column heading is the denominator Example Example Percentage divide by 00 Decimal multiply by 00 Example Example a. 7 % simplifies to 00 0 b.. 8.% simplifies to and this simplifies to
17 Example x 8 a. The fraction makes which is 8% x 00 7 x. 87. b. The fraction makes which is 87.% x / 0 / 00 / 000 Example a. 0. the final column is thousandths so b the final column is hundredths so Example a. the line in a fraction means divide so means 8. Use bus-stop or a 8 calculator to get 0. b. when the denominator is 0, 00 or 000 etc it is easy to do the division in 7 your head. So 0 0., and Example and Multiplying by 00 the digits move two places to the left and dividing by 00 the digits move two places to the right a. so 0.7 becomes 7% and.7 becomes 7% b. Harder examples are 0. becomes 0% and 0. becomes.% 9
18 Prime Factors The Prime Numbers up to 0:,,, 7,,, 7 and 9 Q. Find the Prime Factors of 0 First draw a Prime Factor Tree 0 Find numbers which multiply to make 0 0 Then 0 7 Then Then The Prime Factors of 0 are,,,, 7 They can be expressed in index form as ² x x x 7 Finding the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) using Prime Factor trees Q. Find the LCM and HCF of and Index form ² x Index form ² x 0
19 Put these figures into a Venn Diagram 0 HCF x (Multiply the numbers in the overlapping segment) LCM x x x 0 (Multiply all the numbers) The Ladder Method Q. Find the LCM and HCF of and 0. We write a common factor of both numbers beside them The numbers that we are using go at the top of the ladder. We keep writing common factors down as long as possible To find the HCF multiply the numbers on the left side of the ladder: - HCF To find the LCM multiply the numbers on the left side and the numbers beneath the ladder: - LCM 0
20 Rounding Numbers Rounding to the nearest whole number: Draw a vertical line to the right of the number that will be rounded Ignore these numbers This number will either stay as a or round up to. The number directly to the right of the vertical line is the decider. If the decider is less than the number left of the line stays the same. If the decider is or more the number left of the line is rounded up. So.78 rounded to the nearest whole number is. Rounding to the nearest 0 The answer will either be 80 or The number 7 is the decider. As it is larger than the number to the left of the vertical line will round up. So 87 to the nearest 0 is 90 Rounding to the nearest 00 The answer will either be 00 or The number 8 is the decider. It is greater than so 87 rounded to the nearest hundred is 00
21 Rounding to decimal places rd decimal place st decimal place nd decimal place Round to decimal place st decimal place The decider The decider is greater than so the number to the left of the vertical line rounds up 89. Rounding to significant figures 8 st th nd rd th Significant figures (S.F) Round to significant figure 8 st S.F The decider The decider is greater than so 8 rounded to significant figure 0000
22 Round to significant figures 8 rd S.F The decider The decider is less than so the number to the left of the vertical line stays the same. To round to significant figures we round 8 down to 800. The first significant figure is always the first non zero number so in the number the 8 is the first significant figure. A zero counts as a significant figure if it is between two non zero numbers. Rounding decimals to significant figures nd S.F The decider The decider is greater than so is rounded up to When you write out a decimal to significant figures you never add extra zeros to the end of the number. Always stop after the last significant figure. Remember Less than stays the same, or more round up!
23 Ratio Ratio is the share of something in proportion to other shares. For example, if Andy and Graham share sweets in the ratio :, for every sweet Andy gets, Graham gets. Ratio can be simplified in the same way fractions can - by finding common factors between all parts. Example :: Method :: All parts have as a common factor, so divide each part by :: All parts still have as a common factor so divide each part by :: All parts only have as a common factor and therefore this is the simplest form. Method :: All parts have as a common factor, so divide each part by :: All parts only have as a common factor and therefore this is the simplest form. It is O.K. to take more than step if you cant find the highest common factor.
24 Example Divide 0 into this ratio: Danielle : Emmanuel : Freddie : : In total there are parts ( + + ). First calculate one part of the ratio: 0 0 Danielle gets parts, so she gets 0 0 Emmanuel gets parts, so he gets 0 0 Freddie gets parts so he gets 0 90 So the money is shared out as follows: D : E : F : : 0 : 0 : 90 If we divide 0 into equal parts of 0, here we see that Danielle takes parts, Emmanuel takes parts and Freddie takes parts. Danielle Emmanuel Freddie
25 Example Danielle, Emmanuel and Freddie share some money in the following ratio. Danielle : Emmanuel : Freddie : : If Freddie gets 8, how much do Danielle and Emmanuel get and how much is there altogether? Note: Notice the difference between Example and Example. In Example we are given the total amount, but in Example we are given one persons share. Freddie Gets parts worth 8 in total. We first need to find the value of on share. To find share we would do 8. This equals. If one share is then to find out Danielle s share we need to do share multiplied by - so. This equals 0. If one share is then to find out Emmanuel s share we need to do share multiplied by - so. This equals. So Danielle gets 0 Emmanuel gets Freddie gets 8 In total that is This equals 7. Danielle Emmanuel Freddie 7
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 informationMathematics. 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 informationHOW TO DIVIDE: MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm. WORD DEFINITION IN YOUR WORDS EXAMPLE
MCC6.NS. Fluently divide multi-digit numbers using the standard algorithm. WORD DEFINITION IN YOUR WORDS EXAMPLE Dividend A number that is divided by another number. Divisor A number by which another number
More informationMath Glossary Numbers and Arithmetic
Math Glossary Numbers and Arithmetic Version 0.1.1 September 1, 200 Next release: On or before September 0, 200. E-mail edu@ezlink.com for the latest version. Copyright 200 by Brad Jolly All Rights Reserved
More informationTo 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 informationDesCartes: 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 informationFraction to Percents Change the fraction to a decimal (see above) and then change the decimal to a percent (see above).
PEMDAS This is an acronym for the order of operations. Order of operations is the order in which you complete problems with more than one operation. o P parenthesis o E exponents o M multiplication OR
More information- 0.8.00-0.8. 7 ANSWERS: ) : ) : ) : ) : 8 RATIO WORD PROBLEM EXAMPLES: Ratio Compares two amounts or values; they can be written in ways. As a fraction With a colon : With words to A classroom has girls
More informationFractions Decimals Percents
1 Fractions Decimals Percents Name TAG 2 Fractions to Decimals There are ways to convert fractions to decimals. 1. Use place value 2. Using equivalent fractions with denominators of,, 0, etc.. Use long
More informationRevision on fractions and decimals
Revision on fractions and decimals Fractions 1. Addition and subtraction of fractions (i) For same denominator, only need to add the numerators, then simplify the fraction Example 1: " + $ " = &$ " (they
More informationTopic 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 informationDesCartes: A Continuum of Learning
Ratios and Proportional Relationships Ratios and Proportional Relationships Ratios and Proportional Relationships Solves simple problems involving miles/kilometers per hour Converts between cups, pints,
More informationWhat is a Fraction? Fractions. One Way To Remember Numerator = North / 16. Example. What Fraction is Shaded? 9/16/16. Fraction = Part of a Whole
// Fractions Pages What is a Fraction? Fraction Part of a Whole Top Number? Bottom Number? Page Numerator tells how many parts you have Denominator tells how many parts are in the whole Note: the fraction
More information50 MATHCOUNTS LECTURES (6) OPERATIONS WITH DECIMALS
BASIC KNOWLEDGE 1. Decimal representation: A decimal is used to represent a portion of whole. It contains three parts: an integer (which indicates the number of wholes), a decimal point (which separates
More informationSection A Arithmetic ( 5) Exercise A
Section A Arithmetic In the non-calculator section of the examination there might be times when you need to work with quite awkward numbers quickly and accurately. In particular you must be very familiar
More informationGateway Regional School District VERTICAL ALIGNMENT OF MATHEMATICS STANDARDS Grades 3-6
NUMBER SENSE & OPERATIONS 3.N.1 Exhibit an understanding of the values of the digits in the base ten number system by reading, modeling, writing, comparing, and ordering whole numbers through 9,999. Our
More informationManipulate expressions containing surds and rationalise denominators (A*) Able to simplify surds (A)
Moving from A to A* Manipulate expressions containing surds and rationalise denominators (A*) Solve using surds (A*) A* Solve direct and inverse variation three variables (A*) A* Find formulae describing
More informationSimplifying Expressions UNIT 1 Warm-Up A. 1) Find the least common multiple. a) 2 and 6 b) 7 and 5 c) 4 and 6
Simplifying Expressions UNIT 1 Warm-Up A 1) Find the least common multiple. a) 2 and 6 b) 7 and 5 c) 4 and 6 2) Write the equivalent fraction. a) b) c) 3) Write with common denominators. a) b) 4) Reduce
More informationAbacus 5 and 6: Autumn term 1st half UNIT TOPIC ABACUS 5 UNITS ABACUS 6 UNITS 1 Place-value, ordering and rounding
Abacus 5 and 6: Autumn term 1st half 1 Place-value, ordering and rounding N2 Place-value To round any number up to 10 000 to the nearest ten, hundred or thousand N1 Place-value To rehearse rounding a number
More informationStudent Success Center Arithmetic Study Guide for the ACCUPLACER (CPT)
Fractions Terms Numerator: which tells how many parts you have (the number on top) Denominator: which tells how many parts in the whole (the number on the bottom) is parts have a dot out of Proper fraction:
More informationChapter 4 Section 2 Operations on Decimals
Chapter 4 Section 2 Operations on Decimals Addition and subtraction of decimals To add decimals, write the numbers so that the decimal points are on a vertical line. Add as you would with whole numbers.
More informationAdding and Subtracting with Decimals
Adding and Subtracting with Decimals Before you can add or subtract numbers with decimals, all the decimal points must be lined up. (It will help if you use zeros to fill in places so that the numbers
More informationClass 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 informationFractions. There are several terms that are commonly used when working with fractions.
Chapter 0 Review of Arithmetic Fractions There are several terms that are commonly used when working with fractions. Fraction: The ratio of two numbers. We use a division bar to show this ratio. The number
More information6th Grade Arithmetic (with QuickTables)
6th Grade Arithmetic (with QuickTables) This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence
More informationSummer 2013 Modules 9-13
Summer 201 Modules 9-1 Mastering the Fundamentals Chris Millett Copyright 201 All rights reserved. Written permission must be secured from the author to use or reproduce any part of this book. Academic
More informationCOMPETENCY 1.0 UNDERSTAND THE STRUCTURE OF THE BASE TEN NUMERATION SYSTEM AND NUMBER THEORY
SUBAREA I. NUMBERS AND OPERATIONS COMPETENCY.0 UNDERSTAND THE STRUCTURE OF THE BASE TEN NUMERATION SYSTEM AND NUMBER THEORY Skill. Analyze the structure of the base ten number system (e.g., decimal and
More informationLesson 1: THE DECIMAL SYSTEM
Lesson 1: THE DECIMAL SYSTEM The word DECIMAL comes from a Latin word, which means "ten. The Decimal system uses the following ten digits to write a number: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Each time
More informationTopic 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 informationStep 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 informationBurnley Brow Year 5 Mathematics Overview
Burnley Brow Year 5 Mathematics Overview 2016-2017 Inspire Maths 5 Long-term Plan Unit title Key concepts 1 Whole Numbers (1) Numbers to 10 million Place and value Comparing numbers within 10 million Rounding
More informationOral and Mental calculation
Oral and Mental calculation Read and write any integer and know what each digit represents. Read and write decimal notation for tenths, hundredths and thousandths and know what each digit represents. Order
More informationRational Number is a number that can be written as a quotient of two integers. DECIMALS are special fractions whose denominators are powers of 10.
PA Ch 5 Rational Expressions Rational Number is a number that can be written as a quotient of two integers. DECIMALS are special fractions whose denominators are powers of 0. Since decimals are special
More informationPre-Algebra Notes Unit Five: Rational Numbers and Equations
Pre-Algebra Notes Unit Five: Rational Numbers and Equations Rational Numbers Rational numbers are numbers that can be written as a quotient of two integers. Since decimals are special fractions, all the
More informationMedical 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 informationSummer Packet 7 th into 8 th grade. Name. Integer Operations = 2. (-7)(6)(-4) = = = = 6.
Integer Operations Name Adding Integers If the signs are the same, add the numbers and keep the sign. 7 + 9 = 16 - + -6 = -8 If the signs are different, find the difference between the numbers and keep
More informationYear 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 informationRational number operations can often be simplified by converting mixed numbers to improper fractions Add EXAMPLE:
Rational number operations can often be simplified by converting mixed numbers to improper fractions Add ( 2) EXAMPLE: 2 Multiply 1 Negative fractions can be written with the negative number in the numerator
More informationAccuplacer Arithmetic Study Guide
Accuplacer Arithmetic Study Guide I. Terms Numerator: which tells how many parts you have (the number on top) Denominator: which tells how many parts in the whole (the number on the bottom) Example: parts
More informationAbacus 4 and 5: Autumn term 1st half UNIT TOPIC ABACUS 4 UNITS ABACUS 5 UNITS 1 Place value, ordering and rounding
Abacus 4 and 5: Autumn term 1st half 1 Place value, ordering and rounding Reading from scales Using a calculator N1 Place-value To partition a 4-digit number into thousands, hundreds, tens and units To
More informationInteger Operations. Summer Packet 7 th into 8 th grade 1. Name = = = = = 6.
Summer Packet 7 th into 8 th grade 1 Integer Operations Name Adding Integers If the signs are the same, add the numbers and keep the sign. 7 + 9 = 16-2 + -6 = -8 If the signs are different, find the difference
More informationReview Guide for Term Paper (Teza)
Review Guide for Term Paper (Teza) We will soon have a term paper over the material covered in Chapters 1, 2, 8, 9, 15, 22, 23, 16 and 3. In Chapter 1 we covered: Place value, multiplying and dividing
More informationWHOLE NUMBER AND DECIMAL OPERATIONS
WHOLE NUMBER AND DECIMAL OPERATIONS Whole Number Place Value : 5,854,902 = Ten thousands thousands millions Hundred thousands Ten thousands Adding & Subtracting Decimals : Line up the decimals vertically.
More informationUnit 2: Decimals. Thousands Hundreds Tens Ones Tenths Hundredths Thousandths Ten thousandths
Unit 2: Decimals Decimals are a part of a whole (just like fractions) PLACE VALUE Thousands Hundreds Tens Ones Tenths Hundredths Thousandths Ten thousandths 1000 100 10 1 1 10 1 100 1 1000 1 10000 1000
More informationConverting between Percents, Decimals, and Fractions
Section. PRE-ACTIVITY PREPARATION Converting between Percents, Decimals, and Fractions Think about how often you have heard, read, or used the term percent (%) in its many everyday applications: The sales
More informationMath 6 Notes Unit 03 Notes: Decimals
Math 6 Notes Unit 03 Notes: Decimals Reading and Writing Decimals Syllabus Objective: (3.2) The student will translate written forms of fractions, decimals, and percents to numerical form. Decimals are
More informationMS RtI Tier 3. Curriculum (107 topics + 91 additional topics)
MS RtI Tier 3 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular
More informationStage 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 informationAston Hall s A-Z of mathematical terms
Aston Hall s A-Z of mathematical terms The following guide is a glossary of mathematical terms, covering the concepts children are taught in FS2, KS1 and KS2. This may be useful to clear up any homework
More informationFUNDAMENTAL ARITHMETIC
FUNDAMENTAL ARITHMETIC Prime Numbers Prime numbers are any whole numbers greater than that can only be divided by and itself. Below is the list of all prime numbers between and 00: Prime Factorization
More informationYear 5 Maths Objectives
Counting Year 5 Maths Objectives Number - number and place value Count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000 Count forwards and backwards in decimal steps
More informationYEAR 7 KEY STAGE THREE CURRICULUM KNOWLEDGE AND SKILLS MAPPING TOOL
KEY STAGE THREE CURRICULUM KNOWLEDGE AND SKILLS MAPPING TOOL KNOWLEDGE SUBJECT: Mathematics SKILLS YEAR 7 Number Place Value Number Addition and Subtraction Number Multiplication and Division Number -
More informationadd 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 informationAdding and Subtracting Integers
Quarterly 1 Review Sheet (NOTE: This may not include everything you need to know for tomorrow about every topic. It is student created and I am just sharing it in case you find it helpful) Page 1: Adding
More informationYear Five Maths Curriculum NUMBER Addition and Subtraction Pupils should be taught to:
Number and Place Value Addition and Subtraction read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit count forwards or backwards in steps of powers of 10 for
More information7-1 Introduction to Decimals
7-1 Introduction to Decimals Place Value 12.345678 Place Value 12.345678 Place Value 12.345678 tens Place Value 12.345678 units tens Place Value 12.345678 decimal point units tens Place Value 12.345678
More informationNumber and Place Value
Number and Place Value Reading and writing numbers Ordering and comparing numbers Place value Representing and estimating numbers Rounding numbers Round to nearest 100 000 up to 1 000 000, extend to rounding
More informationIntroduction 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 informationCIV Module Unit Session Learning Objectives
CIV Module Unit Session Learning Objectives C IV Module: Essentials of Recognizing a Fraction 1. Learning that a fraction is a part of a whole through the use of area models C IV Module: Essentials of
More informationSupporting 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 informationNumber & 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 informationDecimals Outcomes. Represent Q Using Decomposition
1 Decimals Outcomes Represent addition, subtraction, multiplication, and division in Q using number lines and decomposition. Perform addition, subtraction, multiplication, and division in Q. Convert between
More informationExample 2: Simplify each of the following. Round your answer to the nearest hundredth. a
Section 5.4 Division with Decimals 1. Dividing by a Whole Number: To divide a decimal number by a whole number Divide as you would if the decimal point was not there. If the decimal number has digits after
More informationNumber and Operation Standard #1. Divide multi- digit numbers; solve real- world and mathematical problems using arithmetic.
Number and Operation Standard #1 MN Math Standards Vertical Alignment for Grade 5 Demonstrate mastery of multiplication and division basic facts; multiply multi- digit numbers; solve real- world and mathematical
More informationNotes for Unit 1 Part A: Rational vs. Irrational
Notes for Unit 1 Part A: Rational vs. Irrational Natural Number: Whole Number: Integer: Rational Number: Irrational Number: Rational Numbers All are Real Numbers Integers Whole Numbers Irrational Numbers
More informationPre-Algebra Notes Unit Five: Rational Numbers and Equations
Pre-Algebra Notes Unit Five: Rational Numbers and Equations Rational Numbers Rational numbers are numbers that can be written as a quotient of two integers. Since decimals are special fractions, all the
More informationStage 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 informationBASIC MATH CONTENTS. Section 1... Whole Number Review. Section 2... Decimal Review. Section 3... Fraction Review. Section 4...
BASIC MATH The purpose of this booklet is to refresh the reader s skills in basic mathematics. There are basic mathematical processes, which must be followed throughout all areas of math applications.
More informationPre-Algebra Notes Unit Five: Rational Numbers and Equations
Pre-Algebra Notes Unit Five: Rational Numbers and Equations Rational Numbers Rational numbers are numbers that can be written as a quotient of two integers. Since decimals are special fractions, all the
More informationParkfield Community School
WWW.LEARNINGLADDERS.INFO Parkfield Community School MATHS YEARS 4, 5 and 6 (2015 ONWARDS) Copyright 2015 Learning Ladders Education. All rights reserved. The 'Learning Ladders' logo, device and characters
More informationYear 1 I Can Statements Can you?
Year 1 I Can Statements 1 Count to and across 100 from any number 2 Count, read and write numbers to 100 3 Read and write: +, - and = 4 Find "one more" and "one less" 5 Use number bonds and subtraction
More informationDECIMALS 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 informationIntegers and Rational Numbers
A A Family Letter: Integers Dear Family, The student will be learning about integers and how these numbers relate to the coordinate plane. The set of integers includes the set of whole numbers (0, 1,,,...)
More information17. [Exploring Numbers]
. [Exploring Numbers] Skill. Comparing whole numbers. Compare the size of the digits in the same place, one at a time. Work from left to right across each number. Q. Which number is the A ) 06 B ) 60 C
More informationRtI 7. Curriculum (219 topics additional topics)
RtI 7 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs. Curriculum
More informationSECTION 3. ROUNDING, ESTIMATING, AND USING A CALCULATOR
SECTION 3. ROUNDING, ESTIMATING, AND USING A CALCULATOR Exact numbers are not always necessary or desirable. Sometimes it may be necessary to express the number which is a result of a calculation to a
More informationYear 6 Term 1 and
Year 6 Term 1 and 2 2016 Points in italics are either where statements have been moved from other year groups or to support progression where no statement is given Oral and Mental calculation Read and
More informationBand Topic Mastery Statements - I can Essential Knowledge - I know Whole Numbers and Decimals
Year 8 Maths Assessment Criteria Assessment 1 Band Topic Mastery Statements - I can Essential Knowledge - I know Whole Numbers and Decimals Use disability tests to find factors and identify primes the
More informationStamford Green Primary School Mathematics Expectations
This document is for use in planning for the teaching of mathematics. These are the basic expectations of what all children in the class will be able to do in mathematics by the end of each school year.
More informationArithmetic. Edexcel Primary curriculum. Mathematics Grade 6. S.no Topics Levels
Edexcel Primary curriculum Mathematics Grade 6 Arithmetic S.no Topics Levels 1 Read and write whole numbers in words and figures. Low(P1) 2 Add and subtract mentally pairs of 2-digit numbers. Low(P1) 3
More informationYear 3 Number Number and place Number Addition and Number Multiplication Number Fractions value subtraction and division
Year 3 Number Number and place value count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given Number recognise the place value of each digit in a threedigit number (hundreds,
More informationCheadle Primary School Mathematics Long term Overview
Cheadle Primary School Mathematics Long term Overview Number Number and Place value Year Three Year Four Year Five count from 0 in multiples of 4, 8, 50 and count in multiples of 6, 7, 9, 25 and 1000 100;
More informationY7 Learning Stage 1. Y7 Learning Stage 2. Y7 Learning Stage 3
Y7 Learning Stage 1 Y7 Learning Stage 2 Y7 Learning Stage 3 Understand simple algebraic notation. Collect like terms to simplify algebraic expressions. Use coordinates in the first quadrant. Make a comparative
More informationYEAR 5. Carbeile Junior School Mathematics Planning Framework. Sequence 1. Sequence 2. Sequence 3. Sequence 4
YEAR 5 1 count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000 solve number problems and practical problems that involve all of the above round decimals with two to
More informationRev 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 informationISLEWORTH & SYON BOYS SCHOOL
ISLEWORTH & SYON BOYS SCHOOL YEAR 7 - LEVEL 1 NUMBER & MEASURE PERSONAL LEARNING CHECKLIST Skill Number size and rounding Example question Can I do it? I CAN do it now! Read, write, order and compare
More informationInformation for Parents/Carers
Page 1 Number, place value, approximation and estimation/rounding I can count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000. I can read, write, order and compare numbers
More informationA) Decimal Notation and Writing Decimals in Words. ecim B) Writing Decimals in Standard Form.
5.1 Introduction to Decimals A) Decimal Notation and Writing Decimals in Words. Decimals The Place Value System for Decimal Numbers Tens/ ones/ decimal point/ tenths/ hundredths/ thousandths/ ten-thousandths
More informationCecil Jones Academy Mathematics Fundamental Map
Fundamentals Year 7 (Core) Knowledge Unit 1 Unit 2 Solve problems involving prime numbers Use highest common factors to solve problems Use lowest common multiples to solve problems Explore powers and roots
More informationCONTENTS. 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 informationGrade 5 CURRICULUM MAP CONTENT: Math Updated to Common Core Standards July 2011
AUGUST / SEPTEMBER 1-15 CORE CONTENT Sequences Digits Money to illustrate place value Comparing whole Naming whole through 100 Dollars and cents Adding one-digit Subtraction facts Subtraction Algorithm
More informationExpected Standards for Year 6: Mathematics Curriculum (taken from ncetm progression maps)
Expected Standards for Year 6: Mathematics Curriculum (taken from ncetm progression maps) Place Value Addition and Subtraction Multiplication and Division Fractions Ratio and Proportion Measurement Geometry
More informationYear 7 Key Performance Indicators Maths (Number)
Key Performance Indicators Maths (Number) M7.1 N1: I can use the four operations to answer calculations involving decimals. Use correct notation for recurring decimals, know the denominators of simple
More informationYear 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 informationWoodcote Primary School Climbing the Ladders of Learning: Maths Milestone 1.1
Climbing the Ladders of Learning: Maths Milestone 1.1 Number s I can join in with counting beyond 10 I can take away one from a number of objects I can talk about, recognise & copy simple repeating patterns
More informationChrist Church, Church of England (VC) Primary School. Aspire, celebrate and learn in an inclusive community. A parent s guide to Year 5 Maths
Christ Church, Church of England (VC) Primary School Aspire, celebrate and learn in an inclusive community A parent s guide to Year 5 Maths 1 By the end of Year 5 children should be able to Learning objectives
More informationSummer Assignment Glossary
Algebra 1.1 Summer Assignment Name: Date: Hour: Directions: Show all work for full credit using a pencil. Circle your final answer. This assignment is due the first day of school. Use the summer assignment
More informationNew National Curriculum for England - Curriculum Objectives. Year 5 Maths Objectives
New National Curriculum for England - Curriculum Objectives Year 5 Maths Objectives Place Value Statement Topic P1 COUNTING interpret negative s in context, count forwards and backwards with positive and
More informationBand Topic Mastery Statements - I can Essential Knowledge - I know Whole order decimals and negative numbers.
Year 7 Maths Assessment Criteria Assessment 1 Band Topic Mastery Statements - I can Essential Knowledge - I know Whole order decimals and negative numbers. know and understand place value in Numbers and
More informationPark Forest Math Team. Meet #2. Self-study Packet
Park Forest Math Team Meet #2 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. Geometry: Angle measures in plane figures including supplements and complements 3. Number
More information