Super Simple Math

by DK

Overview

Packed with core curriculum math topics, this book for kids 11+ is ideal for home and school learning.

From probability to statistics and from algebra to geometry, this guide makes complex topics easy to grasp at a glance. Perfect support for coursework, homework, and exam revision.

Topics are broken down into bitesize chunks, with colorful diagrams and visuals to make each topic crystal clear and bring maths into focus for even the most reluctant mathematicians. Panels explore math in greater detail, from worked-through problems to stories about math in the real world. For revision, a handy "Key facts" box provides a simple summary you can check back on later.

With clear, concise coverage of all the core maths topics, Super Simple Math is an accessible guide to math for children, making studying for exams the easiest it's ever been.

Product Details

ISBN-13:	9780744050653
Publisher:	DK
Publication date:	06/22/2021
Series:	DK Super Simple
Sold by:	Penguin Group
Format:	eBook
Pages:	288
File size:	31 MB
Note:	This product may take a few minutes to download.
Age Range:	12 - 14 Years

About the Author

We believe in the power of discovery. That's why we create books for everyone that explore ideas and nurture curiosity about the world we live in.
 
From first words to the Big Bang, from the wonders of nature to city adventures, you will find expert knowledge, hours of fun and endless inspiration in the pages of our books. 

https://www.dk.com/

Table of Contents

Number and arithmetic

Introducing numbers 10

Decimals 11

Written addition and subtraction 12

Adding and subtracting decimals 13

Negative numbers 14

Multiplying and dividing by 10, 100, and 1,000 15

Methods of multiplication 16

Methods of division 18

Mental addition and subtraction 20

Mental multiplication and division 21

Powers of numbers 22

Factors and multiples 23

Prime numbers 24

Prime factorization 25

Common factors and multiples 26

Order of operations 28

Angles and shapes

Angles 30

Angle facts 31

Angles and parallel lines 32

Measuring and drawing angles 34

Symmetry 35

Properties of triangles 36

Properties of quadrilaterals 37

Properties of polygons 38

Angles in a triangle 39

Angles in a quadrilateral 40

Exterior angles of a polygon 41

Interior angles of a polygon 42

Properties of a circle 43

Practice question: Working with angles 44

Fractions, decimals, and percentages

Fractions 46

Improper fractions and mixed numbers 47

Comparing fractions 48

Adding and subtracting fractions 49

Fraction of an amount 50

Multiplying fractions 51

Dividing fractions 52

Percentages 54

Fractions, decimals, and percentages 55

Percentage of an amount 56

Mental percentage calculations 57

Finding the percentage change 58

Percentage increase and decrease 59

Reverse percentages 60

Growth and decay 61

Compound interest 62

Recurring decimals 63

Recurring decimals and fractions 64

Measure

Metric units of measure and time 66

Imperial units of measure 67

Converting units of measure 68

Converting units of area and volume 69

Compound units of measure 70

Practice questions: Working with compound units 72

Perimeter and area 73

Area formulas 74

How area formulas work 75

Circumference and area of a circle 76

Length of an arc and area of a sector 77

Practice questions: Compound 20 shapes 78

3D shapes 79

3D cross-sections 80

Plans and elevations 81

Volume of a rectangular prism 82

Surface area of a rectangular prism 83

Volume and surface area of a prism 84

Volume and surface area of a cylinder 85

Volume and surface area of a pyramid 86

Volume and surface area of a cone 87

Volume and surface area of a sphere 88

Practice questions: Compound 3D shapes 89

Rounding and estimating 90

Bounds of accuracy 92

Introducing algebra

Algebraic terms 95

Expressions 96

Substitution 97

Exponents in algebra 98

Expanding parentheses 99

Expanding quadratics 100

Factoring 101

Factoring quadratics 102

Factoring harder quadratic expressions 104

The difference of two squares 105

Algebraic fractions 106

Adding and subtracting algebraic fractions 107

Multiplying and dividing algebraic fractions 108

Formulas 109

Rearranging formulas 110

Functions 111

Inverse functions 112

Composite functions 113

Powers and calculations

Higher powers and estimating powers 115

Roots 116

Negative powers 117

Multiplying and dividing with powers 118

Raising a power to a power 119

Fractional powers and roots 120

Practice questions: Calculating with powers 121

Irrational square roots and irrational numbers 122

Simplifying square root expressions 123

Irrational square roots in fractions 124

Exact calculations 124

Scientific notation 126

Multiplying and dividing with scientific notation 127

Adding and subtracting with scientific notation 128

Equations and graphs

Equations 130

Solving simple equations 131

Solving harder equations 132

Equations with parentheses 133

Simultaneous equations 134

Practice question: Real-world simultaneous equations 136

Solving simple quadratic equations 137

Solving harder quadratic equations 138

Completing the square 139

How to complete the square 140

The quadratic formula 141

Practice question: Choosing a method for quadratic problems 142

Trial and error 143

The coordinate grid 144

Linear graphs 145

Equation of a line 146

Parallel and perpendicular lines 147

Length and midpoint of a line segment 148

Quadratic graphs 149

Quadratics in the real world 150

Solving simple equations using graphs 152

Solving harder equations using graphs 153

Inequaiities 154

Graphing linear inequalities 155

Quadratic inequaiities 156

Ratio and proportion

Ratios 158

Dividing in a given ratio 159

Direct proportion 160

Inverse proportion 161

Unitary method 162

Scaling method 163

Proportion 164

Comparing proportions 165

Proportion equations 166

Practice questions: Ratio and proportion 167

Geometry

Vectors 169

Working with vectors 170

Adding and subtracting vectors 171

Multiplying vectors 172

Practice question: Vectors and geometry 173

Translations 174

Reflections 175

Rotations 176

Constructing rotations 177

Dilations 178

Fractional and negative dilations 179

Scaling area and volume 180

Practice questions: Combinations of transformations 181

Scale drawings 182

Bearings 183

Constructing perpendicular lines 184

Constructing angles 185

Loci 186

Practice questions: Using loci 187

Congruent and similar shapes 188

Congruent triangles 189

Similar triangles 190

Practice questions: Similarity and congruence 191

Constructing triangles 192

Circle theorems 1 193

Circle theorems 2 194

Trigonometry

The Pythagorean theorem 196

Trigonometry 197

Sine, cosine, and tangent 198

Finding lengths and angles 199

Special angles 200

The law of sines 201

The law of cosines 202

Area of a triangle 203

Practice question: Using trigonometry 204

Angles of elevation and depression 205

Pythagoras in 3D 206

Practice question: 3D trigonometry 207

Probability

Probability scale 209

Calculating probability 210

Mutually exclusive events 211

Counting outcomes 212

Probability of two events 213

Tree diagrams 214

Conditional probability 215

Conditional probability tables 216

Venn diagrams 217

Venn diagrams and probability 218

Relative frequency 219

Frequency trees 220

Probability distributions 221

Statistics

Statistical inquiry 223

Types of data 224

Populations and samples 225

Frequency tables 226

Bar charts 227

Pictograms 228

Line graphs 229

Pie charts 230

Mean, median, mode, and range 231

Frequency tables and typical values 232

Standard deviation 234

Practice question: Using standard deviation 235

Cumulative frequency 236

Quartiles 237

Histograms 238

Drawing histograms 239

Time series 240

Box plots 241

Practice questions: Comparing distributions 242

Scatter graphs 243

Lines of best fit 244

Further graphs

Distance-time graphs 246

Speed-time graphs 247

Area under a curve 248

Slope of a curve 249

Linear real-life graphs 250

Nonlinear real-life graphs 251

Domain and range of a function 252

Cubic graphs 254

Reciprocal graphs 255

Exponential graphs 256

Trigonometric graphs 258

Transformations of graphs 260

Equation of a circle 262

Sequences

Number sequences 265

Term-to-term rule 266

Position-to-term rule 267

Finding the nth term 268

The nth term formula 269

Arithmetic pattern sequences 270

Arithmetic series 271

Square and cube number sequences 272

The triangular number sequence 273

Quadratic sequences 274

Geometric sequences 276

The Fibonacci sequence 278

Glossary 280

Index 284

Acknowledgments 288