
Super Simple 1: Math
Description
Book Introduction
A new innovation in math textbooks for students,
SUPER SIMPLE 01: Mathematics
It is designed to explain complex mathematical concepts simply and clearly so that students can understand them intuitively.
It covers major topics in the mathematics curriculum, such as numbers and operations, probability and statistics, and sequences, and visually summarizes each topic on one page.
This allows students to easily understand even difficult concepts.
In particular, complex concepts are explained step by step and diagrams and graphs are used to maximize learning effectiveness.
Key summary boxes are placed to help you remember important concepts, and problem-solving processes allow you to review and apply what you've learned.
Additionally, practice problems are provided for each topic so that students can test their own understanding.
SUPER SIMPLE 01: Mathematics
It is designed to explain complex mathematical concepts simply and clearly so that students can understand them intuitively.
It covers major topics in the mathematics curriculum, such as numbers and operations, probability and statistics, and sequences, and visually summarizes each topic on one page.
This allows students to easily understand even difficult concepts.
In particular, complex concepts are explained step by step and diagrams and graphs are used to maximize learning effectiveness.
Key summary boxes are placed to help you remember important concepts, and problem-solving processes allow you to review and apply what you've learned.
Additionally, practice problems are provided for each topic so that students can test their own understanding.
- You can preview some of the book's contents.
Preview
index
Numbers and Operations
10 Various numbers
11 Decimal representation
12 Addition and subtraction of large numbers
13 Addition and subtraction of decimals
14 negative
15 Multiplication and division by 10, 100, and 1000
16 multiplication method
18 Division Rules
20 Mental arithmetic for addition and subtraction
21 Mental Calculation of Multiplication and Division
22 powers
23 Divisors and Multiples
24 prime numbers
25 Factorization
26 Common divisors and common multiples
28 Order of calculation
Angles and shapes
30 each
31 angle elements
32 angles and parallel lines
34 Measuring and Constructing Angles
35 Symmetry
36 Properties of triangles
37 Properties of a square
38 Properties of polygons
39 Angles of a triangle
40 square angles
41 Exterior angles of polygons
42 Interior angles of polygons
43 Properties of circles
44 Practice Problems: Finding Angles
Fractions, decimals, and percentages
46 fractions
47 Fractions and Mixed Numbers
Comparing the size of 48 fractions
49 Addition and Subtraction of Fractions
Finding the amount of a fraction in 50 fractions
51 Multiplying Fractions
52 Division of Fractions
54 percent
55 Fractions, Decimals, and Percentages
56 Finding the amount of a part as a percentage
57 percent mental calculation
58 Finding the rate of change
Increase and decrease by 59 percentages
60% reverse
61 Growth and Decline
62 Compound interest
63 recurring decimals
64 Recurring Decimals and Fractions
measurement
66 Metric Units of Measurement and Time
67 British units of measurement
68 Conversion of Units of Measurement
69 Unit Conversion of Area and Volume
70 Composite Units of Measurement
72 Practice Problems: Calculating Compound Units
73 perimeter and area
74 Area Formula
75 Understanding the Area Formula
Circumference and area of 76 circles
Length of No. 77 and area of the sector
78 Practice Problems: Complex 2-D Figures
79 3D shapes
80 3D cross-section
81 Floor plans and elevations
82 Volume of a rectangular solid
83 Surface area of a rectangular solid
84 Volume and surface area of a prism
85 Volume and surface area of a cylinder
86 Volume and surface area of a pyramid
87 Volume and surface area of a cone
Volume and surface area of 88 spheres
89 Practice Problems: Complex 3D Figures
90 Estimating and estimating
92 Measurement limits
Foundations of Algebra
95 The basic unit of algebra, 'term'
'Expression' in algebra 96
97 college entrance exam
98 character exponent
99 Expansion of parentheses
100 Quadratic Equation Expansion
101 Factorization
102 Factoring of Quadratic Equations
104 Factoring more difficult quadratics
105 squared minus square
106 Algebraic Fractions
107 Addition and subtraction of rational expressions
108 Multiplication and Division of Rational Expressions
109 formula
Rearrangement of the 110 formula
111 function
112 Inverse function
113 Composite function
Exponents and Calculations
115 Powers of large exponents and estimation of power values
116 square root
117 negative exponent
Multiplication and division of powers of 118
119 powers of powers
120 Fractional Exponents and Square Roots
121 Practice Problems: Calculating Powers
122 Non-recurring infinite decimals and irrational numbers
123 Calculation of irrational numbers
124 Fractions containing irrational numbers
125 Accurate calculations
126 Standard Notation
127 Multiplication and Division in Standard Notation
Addition and subtraction in 128 standard notation
Equations and graphs
130 equations
131 Solving Simple Equations
132 Solving Complex Equations
133 Equations with parentheses
134 Simultaneous equations
136 Practice Problems: Systems of Equations in Real Life
137 Solving Simple Quadratic Equations
138 Solving Complex Quadratic Equations
139 Perfect Square
How to convert 140 to a perfect square
141 Root Formula
142 Practice Problems: Choosing a Method for Solving Quadratic Equations
143 Trial and Error Method
144 Coordinate plane
145 Graph of a linear function
146 Equation of a straight line
147 Parallel lines and perpendicular lines
148 Length and midpoint of line segment
149 Graph of a Quadratic Function
150 Quadratic Functions in Life
152 Solving simple equations using graphs
153 Solving Complex Equations Using Graphs
154 Inequality
155 Graph of linear inequality
156 Quadratic Inequality
Rain and ratio
158 rain
159 Proportional distribution
160 direct proportion
161 Inverse proportion
162 unit method
163 Conversion method
164 ratio
165 ratio comparison
166 Ratio Equations
167 Practice Problems: Ratios and Proportions
Geometry
169 vectors
170 Understanding Vectors
171 Addition and subtraction of vectors
Scalar product of 172 vectors
173 Practice Problems: Vectors and Shapes
174 Parallel Movement
175 Line symmetry movement
176 rotation movement
177 Construction of rotational movement
178 Similarity Transformation
179 Reduction similarity transformation and similarity transformation with negative scale
Area and volume in 180 similar transformations
181 Practice Problem: Composition of Transformations
182 scale drawing
183 azimuth
184 Construction of perpendiculars
Construction of a 185 degree angle
186 traces
187 Practice Problems: Using Traces
188 Similar to the union
189 Congruence of triangles
190 Similarity of Triangles
191 Practice Problems: Applying Congruence and Similarity
192 Construction of triangles
193 cylindrical angle
194 Circle and Tangent
Trigonometric ratios
196 Pythagorean theorem
197 Trigonometric Ratios
198 Sine, Cosine, Tangent
199 Calculating lengths and angles using trigonometric functions
200 special angles
201 Law of Signs
202 Cosine Law
203 Area of a triangle
204 Practice Problems: Applications of Trigonometry
205 High and low angles
206 Pythagorean theorem in three-dimensional figures
207 Practice Problems: Trigonometric Ratios in 3-Dimensional Figures
probability
209 Probability Size
Calculating the probability of 210
211 Betrayal Incident
List of 212 cases
213 Probability of two events
214 Prisoner
215 Conditional probability
216 Conditional Probability and Tables
217 Venn Diagram
218 Venn Diagrams and Probability
219 relative frequency
220 degree water diagram
221 Probability Distribution
statistics
223 Statistical Survey
224 Types of data
225 Population and Sample
226 degree table
227 Bar Graph
228 pictograms
229 Broken line graph
230 pie chart
231 Mean, Median, Mode, Range
232 Average of the degree tables
234 standard deviation
235 Practice Problem: Using Standard Deviation
236 cumulative frequency
237th quartile
238 Histogram
239 Drawing a Histogram
240 time series
241 Box plot
242 Practice Problem: Comparing Distributions
243 Scatterplot
244 Trendline
complex graphs
246 Distance-Time Graph
247 Speed-Time Graph
Area under the curve 248
249 Slope of the curve
250 Real-Life Linear Graphs
251 Nonlinear Graphs in Real Life
252 Domain and range of functions
254 Graph of a cubic function
255 y= /x graph
Graph of 256 exponential functions
258 Graphs of Trigonometric Functions
260 Transformation of Graphs
262 Equation of a circle
sequence
265 sequence
266 Recurrence relation of arithmetic sequences
267 General term of an arithmetic sequence
268 Finding the general term of an arithmetic sequence
269 General term formula for arithmetic sequences
270 Examples of Arithmetic Sequences
271 Arithmetic sequence series
272 Square and Cube Sequences
273 Triangular sequence
274 Quadratic sequence
276 Geometric sequence
278 Fibonacci sequence
280 Glossary
284 Search
288 Acknowledgements
10 Various numbers
11 Decimal representation
12 Addition and subtraction of large numbers
13 Addition and subtraction of decimals
14 negative
15 Multiplication and division by 10, 100, and 1000
16 multiplication method
18 Division Rules
20 Mental arithmetic for addition and subtraction
21 Mental Calculation of Multiplication and Division
22 powers
23 Divisors and Multiples
24 prime numbers
25 Factorization
26 Common divisors and common multiples
28 Order of calculation
Angles and shapes
30 each
31 angle elements
32 angles and parallel lines
34 Measuring and Constructing Angles
35 Symmetry
36 Properties of triangles
37 Properties of a square
38 Properties of polygons
39 Angles of a triangle
40 square angles
41 Exterior angles of polygons
42 Interior angles of polygons
43 Properties of circles
44 Practice Problems: Finding Angles
Fractions, decimals, and percentages
46 fractions
47 Fractions and Mixed Numbers
Comparing the size of 48 fractions
49 Addition and Subtraction of Fractions
Finding the amount of a fraction in 50 fractions
51 Multiplying Fractions
52 Division of Fractions
54 percent
55 Fractions, Decimals, and Percentages
56 Finding the amount of a part as a percentage
57 percent mental calculation
58 Finding the rate of change
Increase and decrease by 59 percentages
60% reverse
61 Growth and Decline
62 Compound interest
63 recurring decimals
64 Recurring Decimals and Fractions
measurement
66 Metric Units of Measurement and Time
67 British units of measurement
68 Conversion of Units of Measurement
69 Unit Conversion of Area and Volume
70 Composite Units of Measurement
72 Practice Problems: Calculating Compound Units
73 perimeter and area
74 Area Formula
75 Understanding the Area Formula
Circumference and area of 76 circles
Length of No. 77 and area of the sector
78 Practice Problems: Complex 2-D Figures
79 3D shapes
80 3D cross-section
81 Floor plans and elevations
82 Volume of a rectangular solid
83 Surface area of a rectangular solid
84 Volume and surface area of a prism
85 Volume and surface area of a cylinder
86 Volume and surface area of a pyramid
87 Volume and surface area of a cone
Volume and surface area of 88 spheres
89 Practice Problems: Complex 3D Figures
90 Estimating and estimating
92 Measurement limits
Foundations of Algebra
95 The basic unit of algebra, 'term'
'Expression' in algebra 96
97 college entrance exam
98 character exponent
99 Expansion of parentheses
100 Quadratic Equation Expansion
101 Factorization
102 Factoring of Quadratic Equations
104 Factoring more difficult quadratics
105 squared minus square
106 Algebraic Fractions
107 Addition and subtraction of rational expressions
108 Multiplication and Division of Rational Expressions
109 formula
Rearrangement of the 110 formula
111 function
112 Inverse function
113 Composite function
Exponents and Calculations
115 Powers of large exponents and estimation of power values
116 square root
117 negative exponent
Multiplication and division of powers of 118
119 powers of powers
120 Fractional Exponents and Square Roots
121 Practice Problems: Calculating Powers
122 Non-recurring infinite decimals and irrational numbers
123 Calculation of irrational numbers
124 Fractions containing irrational numbers
125 Accurate calculations
126 Standard Notation
127 Multiplication and Division in Standard Notation
Addition and subtraction in 128 standard notation
Equations and graphs
130 equations
131 Solving Simple Equations
132 Solving Complex Equations
133 Equations with parentheses
134 Simultaneous equations
136 Practice Problems: Systems of Equations in Real Life
137 Solving Simple Quadratic Equations
138 Solving Complex Quadratic Equations
139 Perfect Square
How to convert 140 to a perfect square
141 Root Formula
142 Practice Problems: Choosing a Method for Solving Quadratic Equations
143 Trial and Error Method
144 Coordinate plane
145 Graph of a linear function
146 Equation of a straight line
147 Parallel lines and perpendicular lines
148 Length and midpoint of line segment
149 Graph of a Quadratic Function
150 Quadratic Functions in Life
152 Solving simple equations using graphs
153 Solving Complex Equations Using Graphs
154 Inequality
155 Graph of linear inequality
156 Quadratic Inequality
Rain and ratio
158 rain
159 Proportional distribution
160 direct proportion
161 Inverse proportion
162 unit method
163 Conversion method
164 ratio
165 ratio comparison
166 Ratio Equations
167 Practice Problems: Ratios and Proportions
Geometry
169 vectors
170 Understanding Vectors
171 Addition and subtraction of vectors
Scalar product of 172 vectors
173 Practice Problems: Vectors and Shapes
174 Parallel Movement
175 Line symmetry movement
176 rotation movement
177 Construction of rotational movement
178 Similarity Transformation
179 Reduction similarity transformation and similarity transformation with negative scale
Area and volume in 180 similar transformations
181 Practice Problem: Composition of Transformations
182 scale drawing
183 azimuth
184 Construction of perpendiculars
Construction of a 185 degree angle
186 traces
187 Practice Problems: Using Traces
188 Similar to the union
189 Congruence of triangles
190 Similarity of Triangles
191 Practice Problems: Applying Congruence and Similarity
192 Construction of triangles
193 cylindrical angle
194 Circle and Tangent
Trigonometric ratios
196 Pythagorean theorem
197 Trigonometric Ratios
198 Sine, Cosine, Tangent
199 Calculating lengths and angles using trigonometric functions
200 special angles
201 Law of Signs
202 Cosine Law
203 Area of a triangle
204 Practice Problems: Applications of Trigonometry
205 High and low angles
206 Pythagorean theorem in three-dimensional figures
207 Practice Problems: Trigonometric Ratios in 3-Dimensional Figures
probability
209 Probability Size
Calculating the probability of 210
211 Betrayal Incident
List of 212 cases
213 Probability of two events
214 Prisoner
215 Conditional probability
216 Conditional Probability and Tables
217 Venn Diagram
218 Venn Diagrams and Probability
219 relative frequency
220 degree water diagram
221 Probability Distribution
statistics
223 Statistical Survey
224 Types of data
225 Population and Sample
226 degree table
227 Bar Graph
228 pictograms
229 Broken line graph
230 pie chart
231 Mean, Median, Mode, Range
232 Average of the degree tables
234 standard deviation
235 Practice Problem: Using Standard Deviation
236 cumulative frequency
237th quartile
238 Histogram
239 Drawing a Histogram
240 time series
241 Box plot
242 Practice Problem: Comparing Distributions
243 Scatterplot
244 Trendline
complex graphs
246 Distance-Time Graph
247 Speed-Time Graph
Area under the curve 248
249 Slope of the curve
250 Real-Life Linear Graphs
251 Nonlinear Graphs in Real Life
252 Domain and range of functions
254 Graph of a cubic function
255 y= /x graph
Graph of 256 exponential functions
258 Graphs of Trigonometric Functions
260 Transformation of Graphs
262 Equation of a circle
sequence
265 sequence
266 Recurrence relation of arithmetic sequences
267 General term of an arithmetic sequence
268 Finding the general term of an arithmetic sequence
269 General term formula for arithmetic sequences
270 Examples of Arithmetic Sequences
271 Arithmetic sequence series
272 Square and Cube Sequences
273 Triangular sequence
274 Quadratic sequence
276 Geometric sequence
278 Fibonacci sequence
280 Glossary
284 Search
288 Acknowledgements
Detailed image

Publisher's Review
This book is designed to be an ideal starting point for a solid understanding of basic mathematical principles with a simple approach.
ㆍVisual learning tools
Summarizes key math topics on one page, visually representing them, helping learners understand them intuitively.
ㆍStep-by-step explanation
The core of each topic is explained step by step, and diagrams and graphs are used to make it easy to understand.
ㆍProblem solving process
It enhances learning effectiveness by allowing students to check and apply what they have learned through the problem-solving process.
ㆍPractice problems provided
Practice questions on key topics allow learners to test their understanding.
ㆍIntuitive and concise explanation
Helps make physics easy to understand by explaining complex concepts simply and clearly.
The Charm of Math in the SUPER SIMPLE Series
This book comprehensively covers major topics in mathematics, including numbers and operations, angles and shapes, fractions, decimals, percentages, measurement, the basics of algebra, equations and graphs, ratios and proportions, geometry, trigonometric functions, probability, statistics, complex graphs, and sequences.
Consisting of intuitive, concise explanations and visual materials, it instills confidence in students' learning and can be used as a useful self-study tool at school or at home.
Through this, students can systematically learn various mathematical concepts.
ㆍVisual learning tools
Summarizes key math topics on one page, visually representing them, helping learners understand them intuitively.
ㆍStep-by-step explanation
The core of each topic is explained step by step, and diagrams and graphs are used to make it easy to understand.
ㆍProblem solving process
It enhances learning effectiveness by allowing students to check and apply what they have learned through the problem-solving process.
ㆍPractice problems provided
Practice questions on key topics allow learners to test their understanding.
ㆍIntuitive and concise explanation
Helps make physics easy to understand by explaining complex concepts simply and clearly.
The Charm of Math in the SUPER SIMPLE Series
This book comprehensively covers major topics in mathematics, including numbers and operations, angles and shapes, fractions, decimals, percentages, measurement, the basics of algebra, equations and graphs, ratios and proportions, geometry, trigonometric functions, probability, statistics, complex graphs, and sequences.
Consisting of intuitive, concise explanations and visual materials, it instills confidence in students' learning and can be used as a useful self-study tool at school or at home.
Through this, students can systematically learn various mathematical concepts.
GOODS SPECIFICS
- Date of issue: September 5, 2024
- Page count, weight, size: 288 pages | 183*227*17mm
- ISBN13: 9791159716027
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