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Foreword 6, Chapter 1 Addition Subtraction Patterns. and Graphs, Introduction 8, Addition Revision 11, Adding in Columns 14. Subtraction Revision 15, Subtract in Columns 18, Patterns and Mental Maths 20. Patterns in Pascal s Triangle 22, Bar Models in Addition and Subtraction 24. Order of Operations 28, Making Bar Graphs 30, Line Graphs 32.

Rounding 35, Estimating 38, Money and Discounts 40. Calculate and Estimate Money Amounts 43, Revision Chapter 1 46. Chapter 2 Large Numbers and Place Value, Introduction 48. Thousands 50, At the Edge of Whole Thousands 53, More Thousands 55. Practising with Thousands 57, Place Value with Thousands 59.

Comparing with Thousands 61, Adding and Subtracting Big Numbers 64. Rounding and Estimating Large Numbers 68, Sample worksheet from. www mathmammoth com 3, Multiples of 10 100 and 1 000 72. Mixed Revision Chapters 1 2 75, Revision Chapter 2 77. Chapter 3 Multi Digit Multiplication, Introduction 79.

Understanding Multiplication 83, Multiplication Tables Revision 86. Scales Problems 89, Multiplying by Whole Tens and Hundreds 93. Multiply in Parts 1 97, Multiply in Parts 2 100, More Practice 104. Estimating in Multiplication 106, Multiply in Columns the Easy Way 108. Multiply in Columns the Easy Way Part 2 111, Multiply in Columns the Standard Way 114.

Multiplying in Columns Practice 118, Order of Operations Again 121. Money and Change 124, So Many of the Same Thing 127. Multiplying Two Digit Numbers in Parts 130, Multiply by Whole Tens in Columns 135. Multiplying in Parts Another Way 137, The Standard Multiplication Algorithm. with a Two Digit Multiplier 139, Mixed Revision Chapters 1 3 143.

Revision Chapter 3 145, Sample worksheet from, www mathmammoth com 4. Chapter 4 Time and Measuring, Introduction 148, Time Units 151. The 24 Hour Clock 154, Elapsed Time or How Much Time Passes 156. Measuring Temperature Celsius 161, Temperature Line Graphs 165. Measuring Length 167, More Measuring in Centimetres 169.

Metric Units For Measuring Length 171, Metric Units of Weight 174. Metric Units of Volume 177, Mixed Revision Chapters 1 4 180. Revision Chapter 4 182, Sample worksheet from, www mathmammoth com 5. Math Mammoth South African Version Grade 4 A and Grade 4 B worktexts comprise a complete maths. curriculum for the fourth grade mathematics studies aligned to the Common Core Standards The Math. Mammoth South African version has been customized to South Africa in the following manners. z The names used are South African names instead of Jack and Jill there are Ansie and Mampho. z The currency used in word problems is rand and cents. z The material is all metric In other words the US customary measuring units are not used. z Spelling is British English instead of American English. z Paper size is A4, Please note that the curriculum is not following the South African official syllabus for grade 4 maths. Instead it simply is a copy of the US version of Math Mammoth Grade 4 For the most part Math. Mammoth exceeds South African standards Some standards may not be covered. In the fourth grade students focus on multi digit multiplication and division learning to use bigger. numbers solving multi step word problems that involve several operations and they get started in. studying fractions and decimals This is of course accompanied by studies in geometry and measuring. The year starts out with a revision of addition and subtraction patterns and graphs We illustrate word. problems with bar diagrams and study finding missing addends which teaches algebraic thinking. Children also learn addition and subtraction terminology the order of operations and statistical graphs. Next come large numbers up to millions and the place value concept At first the student revises. thousands and some mental maths with them Next are presented numbers up to one million calculations. with them the concept of place value and comparing In the end of the chapter we find out more about. millions and an introduction to multiples of 10 100 and 1 000. The third chapter is all about multiplication After briefly revising the concept and the times tables the. focus is on learning multi digit multiplication multiplication algorithm The children also learn why it. works when they multiply in parts We also study the order of operations again touch on proportional. reasoning and do more money and change related word problems. The last chapter in part A is about time temperature length weight and volume Students will learn to. solve more complex problems using various measuring units and to convert between measuring units. In part B we first study division The focus is on learning long division and using division in word. problems In geometry we first revise area and perimeter and then concentrate on the topic of angles. Students measure and draw angles solve simple angle problems and classify triangles according to their. angles They also study parallel and perpendicular lines. Fractions and decimals are presented last in the school year These two chapters practise only some of the. basic operations with fractions and decimals The focus is still on conceptual understanding and on. building a good foundation towards 5th grade maths where fractions and decimals will be in focus. Sample worksheet from, www mathmammoth com 6, When you use these books as your only or main mathematics curriculum they can be like a.

framework but you do have some liberty in organising the study schedule Chapters 1 2 and 3 should. be studied in this order but you can be flexible with chapters 4 Time and Measuring and 6 Geometry. and schedule them somewhat earlier or later if you so wish Chapter 3 Multiplication needs to be. studied before long division in Chapter 5 Many topics from chapters 7 and 8 Fractions and Decimals. can also be studied earlier in the school year however finding parts with division should naturally be. studied only after mastering division, I wish you success in teaching maths. Maria Miller the author, Sample worksheet from, www mathmammoth com 7. Chapter 1 Addition Subtraction, Patterns and Graphs. Introduction, The first chapter of Math Mammoth Grade 4 covers addition and subtraction topics problem solving. patterns graphs and money, At first we revise the technical aspects of adding and subtracting mental maths techniques and adding.

and subtracting in columns We also study some patterns The lesson on Pascal s triangle is intended to be. fun and fascinating after all Pascal s triangle is full of patterns. In the next lesson we study the connection between addition and subtraction and bar models Bar models. help students write addition and subtraction sentences with unknowns and solve them This is teaching. the students algebraic thinking how to write and solve simple equations. The lesson on the order of operations contains some revision but we also study connecting the topic with. real life situations such as shopping Here the student writes the mathematical expression number. sentence for word problems which again practises algebraic thinking. Going towards applications of maths the chapter then contains straightforward lessons on bar graphs. line graphs rounding estimating and money problems. The Lessons in Chapter 1, Addition Revision 11 3 pages. Adding in Columns 14 1 page, Subtraction Revision 15 3 pages. Subtract in Columns 18 3 pages, Patterns and Mental Maths 20 2 pages. Patterns in Pascal s Triangle 22 2 pages, Bar Models in Addition and Subtraction 24 4 pages. Order of Operations 28 2 pages, Making Bar Graphs 30 2 pages.

Line Graphs 32 3 pages, Rounding 35 3 pages, Estimating 38 2 pages. Money and Discounts 40 3 pages, Calculate and Estimate Money Amounts 43 3 pages. Revision Chapter 1 46 2 pages, Sample worksheet from. www mathmammoth com 8, Helpful Resources on the Internet. Use these free online resources to supplement the bookwork as you see fit. Calculator Chaos, Most of the keys have fallen off the calculator but you have to make certain numbers using the keys that.

http www mathplayground com calculator chaos html, ArithmeTiles. Use the four operations and numbers on neighbouring tiles to make target numbers. http www primarygames com math arithmetiles index htm. Choose Math Operation, Choose the mathematical operation s so that the number sentence is true Practise the role of zero and. one in basic operations or operations with negative numbers Helps develop number sense and logical. http www homeschoolmath net operation game php, MathCar Racing. Keep ahead of the computer car by thinking logically and practise any of the four operations at the same. http www funbrain com osa index html, Fill and Pour. Fill and pour liquid with two containers until you get the target amount A logical thinking puzzle. http nlvm usu edu en nav frames asid 273 g 2 t 4 html. Division and Order of operations and, Division and Addition Order of Operations.

Two mystery picture games, http www dositey com 2008 math m mystery2MD htm and. http www dositey com 2008 math m mystery2AD htm, Order of Operations Quiz. A 10 question online quiz that includes two different operations and possibly brackets in each question. You can also modify the quiz parameters yourself, http www thatquiz org tq 1 j8f la. The Order of Operations Millionaire, Answer multiple choice questions that have to do with the order of operations and win a million Can be. played alone or in two teams, http www math play com Order of Operations Millionaire order of operations millionaire html.

Exploring Order of Operations Object Interactive, The program shows an expression and you click on the correct operation either or exponent. to be done first The program then solves that operation and you click on the next operation to be. performed etc until it is solved Lastly the resource includes a game where you click on the falling. blocks in the order that order of operations would dictate. http www learnalberta ca content mejhm html object interactives order of operations use it html. Sample worksheet from, www mathmammoth com 9, Order of Operations Practice. A simple online quiz of 10 questions Uses brackets and the four operations. http www onlinemathlearning com order of operations practice html. Quick Calculate, Practise your arithmetic of all four operations plus the order of operations. http themathgames com arithmetic games addition subtraction multiplication division quick calculate game php. Estimate Addition Quiz, Scroll down the page to find this quiz plus some others Fast loading. http www quiz tree com Math Practice main html, Counting South African coins worksheets.

Create free worksheets for counting all South African coins and some banknotes You can choose the. number of coins the maximum total amount and the number of problems. http www homeschoolmath net worksheets south african money php. South African Mint, See specially minted collector coins such as the 2010 Natura Coin series with black rhinoceros the. Krugerrand Series the Protea Series with Nadine Gordimer and others You will also find information. about coin making and the current circulation coins. http www samint co za, Bar Chart Virtual Manipulative. Build your bar chart online using this interactive tool. http nlvm usu edu en nav frames asid 190 g 1 t 1 html from category g 1 t 1 html. An Interactive Bar Grapher, Graph data sets in bar graphs The colour thickness and scale of the graph are adjustable You can put in. your own data or you can use or alter pre made data sets. http illuminations nctm org ActivityDetail aspx ID 63. Create a Graph, A neat online tool for creating a graph from your own data. http nces ed gov nceskids createagraph, Math Mahjong.

A Mahjong game where you need to match tiles with the same value It uses all four operations and has. three levels, http www sheppardsoftware com mathgames mixed mahjong mahjongMath Level 1 html. Pop the Balloons, Pop the balloons in the order of their value You need to use all four operations. http www sheppardsoftware com mathgames numberballoons BalloonPopMixed htm. Sample worksheet from, www mathmammoth com 10, This page left blank intentionally. Sample worksheet from, www mathmammoth com, Bar Models in Addition and Subtraction. Think of this bar model as a long board cut into two pieces. It is 56 units long in total you can think of centimetres for example. and the two parts are 15 and x units long, From the bar model we can write TWO addition and TWO.

subtraction sentences a fact family x 15 56 56 x 15. The x stands for a number too We just do not know what it 15 x 56 56 15 x. is yet It is an unknown, From this bar model we can write a missing addend problem. It means that a number to be added is missing or unknown. We can solve it by subtracting the one part 769 from the 769 x 1 510. total 1 510, x 1 510 769 741, 1 Write a missing addend problem that matches the bar model Then solve it by subtracting. c A tool costs R1 200 Dad has R890, How much more does he need to buy it. d The school has 547 students of which, 265 are girls How many are boys. Sample worksheet from, www mathmammoth com 24, 2 Write the numbers and x in the model Remember x is the unknown or what the problem asks for.

Math Mammoth South African Version Grade 4 A and Grade 4 B worktexts comprise a complete maths curriculum for the fourth grade mathematics studies aligned to the Common Core Standards The Math Mammoth South African version has been customized to South Africa in the following manners zThe names used are South African names instead of Jack and Jill there are Ansie and Mampho zThe currency