All the core curriculum math topics in one super simple book - an accessible and indispensable guide for students, parents, and educators
Covering topics from probability to statistics, algebra to geometry, this study guide is what every young, budding mathematician needs to succeed in math - both at home and in school.
This math study book is the perfect support for coursework, homework, and exam revision for 11-16 year olds. Inside students will find:
• Key concepts shown in visual form and summarized in a single page
• Important aspects of each topic explained with step-by-step instructions and diagrams
• Key fact boxes that break down core concepts and make the material easier to memorize
• “How it works” and “Look closer” boxes explain essential ideas and work through problems with simple graphics
• Practice questions to help students test their understanding of important topics
Improve your child's maths skills
SI Super Simple Math is designed for learners between the ages of 11 - 16. Each topic on the math curriculum is simplified into manageable, bite-sized chunks explained using colorful, engaging diagrams and graphs. Perfect for those visual learners amongst us, this guide brings math clearly into focus, making mathematicians out of even the most reluctant of students.
Instructive information panels use real-world examples to make math relevant and less daunting for students, parents, and teachers alike. Fact boxes provide rapid-fire points for easy learning and are perfect for classroom quizzes. Studying for exams has never been easier using this exceptional educational tool.
Author(s): DK
Edition: 1
Publisher: DK Children
Year: 2021
Language: English
Commentary: Vector PDF
Pages: 288
City: New York, NY
Tags: Popular Science; Statistics; Mathematics; Algebra; Probability Theory; Elementary Mathematics; Children; Geometry
Contents
Number and arithmetic
Introducing numbers
Decimals
Written addition and subtraction
Adding and subtracting decimals
Negative numbers
Multiplying and dividing by 10, 100, and 1000
Methods of multiplication
Methods of division
Mental addition and subtraction
Mental multiplication and division
Powers of numbers
Factors and multiples
Prime numbers
Prime factorization
Common factors and multiples
Order of operations
Angles and shapes
Angles
Angle facts
Angles and parallel lines
Measuring and drawing angles
Symmetry
Properties of triangles
Properties of quadrilaterals
Properties of polygons
Angles in a triangle
Angles in a quadrilateral
Exterior angles of a polygon
Interior angles of a polygon
Properties of a circle
Practice question: Working with angles
Fractions, decimals, and percentages
Fractions
Improper fractions and mixed numbers
Comparing fractions
Adding and subtracting fractions
Fraction of an amount
Multiplying fractions
Dividing fractions
Percentages
Fractions, decimals, and percentages
Percentage of an amount
Mental percentage calculations
Finding the percentage change
Percentage increase and decrease
Reverse percentages
Growth and decay
Compound interest
Recurring decimals
Recurring decimals and fractions
Measure
Metric units of measure and time
Imperial units of measure
Converting units of measure
Converting units of area and volume
Compound units of measure
Practice questions: Working with compound units
Perimeter and area
Area formulas
How area formulas work
Circumference and area of a circle
Length of an arc and area of a sector
Practice questions: Compound 2-D shapes
3-D shapes
3-D sections
Plans and elevations
Volume of a cuboid
Surface area of a cuboid
Volume and surface area of a prism
Volume and surface area of a cylinder
Volume and surface area of a pyramid
Volume and surface area of a cone
Volume and surface area of a sphere
Practice questions: Compound 3-D shapes
Rounding and estimating
Bounds of accuracy
Introducing algebra
Algebraic terms
Expressions
Substitution
Indices in algebra
Expanding brackets
Expanding quadratics
Factorizing
Factorizing quadratics
Factorizing harder quadratic expressions
The difference of two squares
Algebraic fractions
Adding and subtracting algebraic fractions
Multiplying and dividing algebraic fractions
Formulas
Rearranging formulas
Functions
Inverse functions
Composite functions
Powers and calculations
Higher powers and estimating powers
Roots
Negative powers
Multiplying and dividing with powers
Raising a power to a power
Fractional powers and roots
Practice questions: Calculating with powers
Surds and irrational numbers
Simplifying surd expressions
Surds in fractions
Exact calculations
Standard form
Multiplying and dividing with standard form
Adding and subtracting with standard form
Equations and graphs
Equations
Solving simple equations
Solving harder equations
Equations with brackets
Simultaneous equations
Practice question: Real-world simultaneous equations
Solving simple quadratic equations
Solving harder quadratic equations
Completing the square
How to complete the square
The quadratic formula
Practice question: Choosing a method for quadratic problems
Trial and improvement
The coordinate grid
Linear graphs
Equation of a straight line
Parallel and perpendicular lines
Length and midpoint of a line segment
Quadratic graphs
Quadratics in the real world
Solving simple equations using graphs
Solving harder equations using graphs
Inequalities
Graphing linear inequalities
Quadratic inequalities
Ratio and proportion
Ratios
Dividing in a given ratio
Direct proportion
Inverse proportion
Unitary method
Scaling method
Proportion
Comparing proportions
Proportion equations
Practice questions: Ratio and proportion
Geometry
Vectors
Working with vectors
Adding and subtracting vectors
Multiplying vectors
Practice question: Vectors and geometry
Translations
Reflections
Rotations
Constructing rotations
Enlargements
Fractional and negative enlargements
Scaling area and volume
Practice questions: Combinations of transformations
Scale drawings
Bearings
Constructing perpendicular lines
Constructing angles
Loci
Practice questions: Using loci
Congruent and similar shapes
Congruent triangles
Similar triangles
Practice questions: Similarity and congruence
Constructing triangles
Circle theorems 1
Circle theorems 2
Trigonometry
Pythagoras’s theorem
Trigonometry
Sine, cosine, and tangent
Finding lengths and angles
Special angles
The sine rule
The cosine rule
Area of a triangle
Practice question: Using trigonometry
Angles of elevation and depression
Pythagoras in 3-D
Practice question: 3-D trigonometry
Probability
Probability scale
Calculating probability
Mutually exclusive events
Counting outcomes
Probability of two events
Tree diagrams
Conditional probability
Conditional probability tables
Venn diagrams
Venn diagrams and probability
Relative frequency
Frequency trees
Probability distributions
Statistics
Statistical inquiry
Types of data
Populations and samples
Frequency tables
Bar charts
Pictograms
Line graphs
Pie charts
Mean, median, mode, and range
Frequency tables and averages
Standard deviation
Practice question: Using standard deviation
Cumulative frequency
Quartiles
Histograms
Drawing histograms
Time series
Box plots
Practice questions: Comparing distributions
Scatter graphs
Lines of best fit
Further graphs
Distance-time graphs
Speed-time graphs
Area under a curve
Gradient of a curve
Linear real-life graphs
Non-linear real-life graphs
Domain and range of a function
Cubic graphs
Reciprocal graphs
Exponential graphs
Trigonometric graphs
Transformations of graphs
Equation of a circle
Sequences
Number sequences
Term-to-term rule
Position-to-term rule
Finding the nth term
The nth term formula
Arithmetic pattern sequences
Arithmetic series
Square and cube number sequences
The triangular number sequence
Quadratic sequences
Geometric sequences
The Fibonacci sequence
Glossary
Index
Acknowledgments
