Years 6 - 8 Maths For Students E-Book

• Herausgeber: John Wiley & Sons
• Kategorie: Bildung
• Sprache: Englisch

Seitenzahl: 506

Veröffentlichungsjahr: 2015

Beschreibung

Your tutor in a book! Master the essential mathematical skills for success!

'I don't know how to do this' is a refrain heard whilst many a student is doing homework. Parents are increasingly called on for assistance, but are themselves struggling to help their children. Years 6-8 Maths For Students is a reference guide for both students and parents, aiming to fill the gaps in a student's knowledge base, build confidence and reduce stress.

Written with the same friendly, how-to approach of the successful For Dummies books, this new educational reference will empower students and develop their mathematical skills for exams, NAPLAN testing and, most importantly, life beyond secondary school. With worries that students are being taught to pass tests at the expense of understanding — this guide will help students cement their mathematical foundations. 

• Grasp the nuts and bolts of numbers, algebra, geometry and measurement
• Helps students with maths as they transition from primary to secondary school
• Complete homework and prepare for tests with confidence

Save money on expensive tutors. Years 6-8 Maths For Students empowers students to improve their educational outcomes.

Leseprobe

Years 6–8 Maths for Students

Published byWiley Publishing Australia Pty Ltd42 McDougall StreetMilton, Qld 4064www.dummies.com

Copyright © 2016 Wiley Publishing Australia Pty Ltd

The moral rights of the authors have been asserted.

National Library of AustraliaCataloguing-in-Publication data:

Author:Colin BeveridgeContributors:Mark Zegarelli, Ingrid KempTitle:Years 6–8 Maths for StudentsISBN:9780730326731 (pbk.)9780730326809 (ebook)Series:For DummiesNotes:Includes index.Subjects:Mathematics — TextbooksMathematics — Study and teaching (Secondary)Mathematics — Problems, exercises, etc.Dewey Number:510.76

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Contents at a Glance

Introduction

Part I: Whole Numbers: The Building Blocks of Maths

Chapter 1: Ready, Set … Success!

Chapter 2: Getting Bigger and Smaller: Sequences, Addition and Subtraction

Chapter 3: Equal Piles: Multiplying and Dividing

Chapter 4: Going Backwards with Negative Numbers

Chapter 5: Say What? Turning Words into Numbers

Part II: Parts of the Whole

Chapter 6: Cake or Death: Fractions without Fear

Chapter 7: What’s the Point? Dealing with Decimals

Chapter 8: It’s All Relative: Ratios, Proportions and Speed

Chapter 9: Perfect Percentages, 100% of the Time

Chapter 10: Word Problems with Fractions, Decimals and Percentages

Part III: Picturing and Measuring: Shapes, Weights and Graphs

Chapter 11: Shaping Up

Chapter 12: Considering Time, Weights, Temperature and Measurements

Chapter 13: Communicating Data with Graphs and Tables

Part IV: The x-Files: Introduction to Algebra

Chapter 14: Using the Alphabet for Maths

Chapter 15: Using Algebra to Solve Equations

Chapter 16: Algebra Word Problems

Part V: The Part of Tens

Chapter 17: Ten Tricks for Remembering Your Number Facts

Chapter 18: Ten (Almost!) Pitfalls to Avoid

Chapter 19: Ten (or so) Ways to Make Any Test Easier

Index

Years 6-8 Maths For Students

Table of Contents

Introduction

About This Book

Foolish Assumptions

Icons Used in This Book

Where to Go From Here

Part I: Whole Numbers: The Building Blocks of Maths

Chapter 1: Ready, Set … Success!

You’re Already Good at Maths

Your first homework assignment

Talking yourself up

Whole Numbers: Party Time!

Parts of the Whole: Fractions, Decimals, Percentages and More

Mmmm, pizza! Everyday fractions

Percentages are easier than you think: Introducing the Table of Joy

Sizing Up Time, Weights, Measures and Shapes

Weights and measures you already know

Getting yourself into shape

Why bother with graphs and tables?

Seeing How x Marks the Spot

Setting Yourself Up for Success

Getting properly equipped

Discovering where you work best

Improving your workspace

Staying Motivated

Remembering why you’re studying

Using the ‘calendar of crosses’

Rewarding yourself

Getting Your Head On Straight

Sitting up straight

Getting a breath of fresh air

Talking to yourself — not as crazy as it sounds

Learning from your mistakes

Keeping Good Notes

Deciding on a notebook or a computer

Recording the language of maths

Chapter 2: Getting Bigger and Smaller: Sequences, Addition and Subtraction

Understanding Number Sequences

Evening the odds

Counting by threes, fours, fives and so on

Getting square with square numbers

Composing yourself with composite numbers

Stepping out of the box with prime numbers

Multiplying quickly with exponents

It All Adds Up: Addition and Subtraction

Adding things up

Take it away: Subtracting

Looking at the number line

Adding and subtracting on the number line

Adding and subtracting with two rulers

Remembering Some Simple Sums

Meeting the adding table

Increasing your success with flash cards

What to do when you forget

Super-Size Me: Working with Bigger Numbers

Adding and taking away bigger numbers

In line: Adding larger numbers in columns

Carry on: Dealing with two-digit answers

Columns and stacks: Subtracting larger numbers

Can you spare a ten? Borrowing to subtract

Chapter 3: Equal Piles: Multiplying and Dividing

Meeting the Basics of Multiplication and Division

Remembering Your Times Tables

Practising your times tables

Working around mind blanks

Working backwards

Multiplying Bigger Numbers

Multiplying a big number by a small number

Multiplying two big numbers

Working with all of the zeros

One for You, One for Me: Handling Division

Dividing and conquering

Taking one step at a time

Making short work of long division

Dealing with the left overs: Remainders

Introducing Order of Operations

Applying order of operations to simple expressions

Using order of operations in expressions with exponents

Understanding order of operations in expressions with parentheses

Chapter 4: Going Backwards with Negative Numbers

Taking a Negative Turn: Negative Numbers

Addition and Subtraction with Negative Numbers

Starting with a negative number

Adding a negative number

Subtracting a negative number

Combining addition and subtraction operations

Combining signs

Multiplication and Division with Negative Numbers

Chapter 5: Say What? Turning Words into Numbers

Dispelling Two Myths about Word Problems

Word problems aren’t always hard

Word problems are useful

Solving Basic Word Problems

Turning word problems into word equations

Plugging in numbers for words

Solving More Complex Word Problems

When numbers get serious

Too much information

Putting it all together

Part II: Parts of the Whole

Chapter 6: Cake or Death: Fractions without Fear

Slicing a Cake into Fractions

Knowing the Fraction Facts of Life

Telling the numerator from the denominator

Flipping for reciprocals

Using ones and zeros

Mixing things up

Knowing proper from improper

Increasing and Reducing Terms of Fractions

Increasing the terms of fractions

Reducing fractions to lowest terms

Reducing fractions the informal way

Converting between Improper Fractions and Mixed Numbers

Knowing the parts of a mixed number

Converting a mixed number to an improper fraction

Converting an improper fraction to a mixed number

Understanding Cross-Multiplication

All Together Now: Adding Fractions

Finding the sum of fractions with the same denominator

Adding fractions with different denominators

Taking It Away: Subtracting Fractions

Subtracting fractions with the same denominator

Subtracting fractions with different denominators

Multiplying and Dividing Fractions

Multiplying numerators and denominators straight across

Doing a flip to divide fractions

Working Properly with Mixed Numbers

Adding and subtracting mixed numbers

Multiplying and dividing mixed numbers

Fathoming Fractions on Your Calculator

Using the fraction button

Chapter 7: What’s the Point? Dealing with Decimals

Understanding Basic Decimal Stuff

Counting dollars and decimals

Identifying the place value of decimals

Knowing the decimal facts of life

Are We Nearly There Yet? Rounding and Estimating

Rounding: What’s nearest?

That’s about right: Estimating answers

Checking your answers

Linking Decimals to Fractions

Converting decimals to fractions

Converting fractions to decimals

Remembering some common fractions and decimals

Doing fractions with decimals

A recurring theme

Performing the Main Four Operations with Decimals

Adding decimals

Subtracting decimals

Multiplying decimals

Dividing decimals

Chapter 8: It’s All Relative: Ratios, Proportions and Speed

Getting to Know the Table of Joy

Seeing how the Table of Joy works

Understanding what goes where

Getting Rational: Understanding Ratios