Tag: Math

Mathematics – 9

Welcome to Class 9 Mathematics! This course is designed to provide you with a solid foundation in various mathematical concepts and skills. We will explore a wide range of themes, from fundamental number concepts to more advanced topics in geometry, algebra, and statistics. Let’s take a brief look at each of the themes we’ll be covering throughout the year:

Theme 01: Rational and Irrational Numbers
In this theme, we will explore the properties of rational and irrational numbers, understand how to differentiate between them, and work with them in various mathematical operations.

Theme 02: Compound Interest
You’ll learn about the concept of compound interest, how it is calculated, and how it can be applied in real-world scenarios like savings accounts and investments.

Theme 03: Expansions
We’ll delve into mathematical expansions, including algebraic and binomial expansions, and learn how to simplify and manipulate expressions.

Theme 04: Factorization
This theme will focus on factoring polynomials and expressions, a fundamental skill in algebra.

Theme 05: Simultaneous Linear Equations
You’ll discover how to solve systems of linear equations involving multiple variables, a crucial skill in problem-solving.

Theme 06: Problems on Simultaneous Linear Equations
We’ll apply the knowledge of simultaneous linear equations to solve various real-life problems and scenarios.

Theme 07: Quadratic Equations
This theme introduces quadratic equations and their solutions, preparing you for more complex algebraic concepts.

Theme 08: Indices
You will learn about indices (exponents) and how they are used to represent and simplify mathematical expressions.

Theme 09: Logarithms
We’ll explore logarithms and their applications in solving exponential equations and real-world problems.

Theme 10: Triangles
Geometry time! You’ll study the properties and classifications of triangles, along with various theorems related to them.

Theme 11: Mid-Point Theorems
We’ll dive into the midpoint theorems that relate to line segments and triangles.

Theme 12: Pythagoras Theorem
You’ll learn and apply the famous Pythagoras Theorem to solve problems related to right-angled triangles.

Theme 13: Rectilinear Figures
This theme covers various shapes and figures, their properties, and how to calculate their areas and perimeters.

Theme 14: Theorems on Area
We will explore theorems related to area calculations, extending your understanding of geometry.

Theme 15: Circle
You’ll discover the properties and theorems related to circles and learn how to calculate various circle-related quantities.

Theme 16: Mensuration
Mensuration involves calculating volumes and surface areas of three-dimensional shapes, an important skill for various practical applications.

Theme 17: Trigonometrical Ratios
We’ll introduce trigonometry and the fundamental trigonometric ratios.

Theme 18: Trigonometric Ratios of Standard Angles
You will learn about trigonometric ratios for standard angles, helping you solve problems involving angles and triangles.

Theme 19: Coordinate Geometry
This theme combines algebra and geometry by introducing you to the concept of coordinates and equations of lines.

Theme 20: Statistics
You will explore the basics of statistics, including data representation, measures of central tendency, and data interpretation.

Throughout the course, we will focus on developing problem-solving skills, critical thinking, and a deeper understanding of mathematical concepts. Mathematics is not just a subject; it’s a tool for understanding the world around us and solving real-world problems. So, let’s embark on this mathematical journey together, and I’m here to help you every step of the way. Enjoy your Class 9 Mathematics!

Mathematics – 10

Course Introduction for Class 10 Math

Welcome to the exciting world of mathematics at the Class 10 level, where we will explore a wide array of mathematical concepts and their real-world applications. Here’s an overview of the themes you’ll be delving into throughout this course:

Theme 01: Goods and Services Tax (GST)

  • Understand the fundamentals of taxation and the impact of GST on goods and services.

Theme 02: Banking

  • Explore the world of banking, including savings accounts, loans, and interest rates.

Theme 03: Shares and Dividends

  • Learn about the financial world of shares and dividends, and how investments work.

Theme 04: Linear Inequations

  • Dive into the world of inequalities and how they are used to represent real-life situations.

Theme 05: Quadratic Equations in One Variable

  • Master quadratic equations and their applications in solving a variety of mathematical problems.

Theme 06: Factorization

  • Explore factorization and how it simplifies complex mathematical expressions.

Theme 07: Ratio and Proportion

  • Understand the concept of ratio and proportion and how they are applied in various scenarios.

Theme 08: Matrices

  • Discover the fascinating world of matrices and their applications in mathematics and beyond.

Theme 09: Arithmetic and Geometric Progressions

  • Explore sequences and series, including arithmetic and geometric progressions.

Theme 10: Reflection

  • Learn about the concept of reflection and its importance in geometry and mathematics.

Theme 11: Section Formula

  • Master the section formula, which is used to find coordinates of a point dividing a line segment.

Theme 12: Equation of a Straight Line

  • Understand the equation of a straight line and its significance in geometry and algebra.

Theme 13: Similarity

  • Explore the concept of similarity in geometry and how it’s applied in solving problems.

Theme 14: Locus

  • Learn about the locus of points and its role in geometry and curve plotting.

Theme 15: Circles

  • Delve into the properties and equations of circles in geometry.

Theme 16: Circles (Continued)

  • Further explore the intricacies of circles, including tangents and chords.

Theme 17: Mensuration

  • Understand the measurement of geometric figures and their volumes and surface areas.

Theme 18: Trigonometric Identities

  • Master trigonometric identities and their applications in solving trigonometric equations.

Theme 19: Trigonometrical Tables

  • Learn how to use trigonometric tables for calculations and problem-solving.

Theme 20: Heights and Distances

  • Explore the application of trigonometry in determining heights and distances of objects.

Theme 21: Measures of Central Tendency

  • Understand how data is summarized using measures of central tendency, such as mean, median, and mode.

Theme 22: Probability

  • Explore the fascinating world of probability and its applications in decision-making and statistics.

This course will equip you with a comprehensive understanding of these diverse mathematical themes, enabling you to apply mathematical concepts to real-life situations and excel in your mathematical journey. Get ready for an exciting exploration of mathematics at the Class 10 level!

Mathematics – Level 1

This is an introductory course for our youngest math wizards where in engaging and interactive form students explore the concepts of mathematics. Our students enjoy participation in creative activities, where they learn to count, compare, classify, solve problems, and have lots of fun along the way.
Students can login and explore lessons.

ADMIRE offers courses and online class for students who started early learning in mathematics. In most cases students attend classes that correspond to their grade at school.  However, math skills and preparation can vary significantly, and it is important to match the student’s ability with an appropriate level of challenge.

Mathematics – Level 2

Lower Nursery Math Course Summary: Exploring Concepts Through Everyday Experiences

1. Day & Night:
– Understanding the concept of time.
– Recognizing day and night.
– Associating daily activities with specific times.

2. Sequence of Events:
– Developing the ability to sequence events.
– Identifying the order of daily routines.
– Learning about the concept of before and after.

3. Earlier and Later:
– Introducing the idea of time progression.
– Differentiating between earlier and later events.
– Relating these concepts to daily activities.

4. Rolling & Sliding:
– Exploring basic physics through hands-on activities.
– Differentiating between rolling and sliding movements.
– Recognizing these movements in everyday objects.

5. Learning Shapes:
– Identifying and naming basic shapes.
– Understanding shapes in the environment.
– Engaging in activities to reinforce shape recognition.

6. Heavy and Light:
– Introducing the concept of weight.
– Comparing objects based on their weight.
– Engaging in activities to experience the difference between heavy and light.

7. Thick and Thin:
– Exploring the dimension of thickness.
– Identifying and comparing objects based on thickness.
– Integrating thick and thin concepts into daily observations.

8. Taller and Shorter:
– Recognizing differences in height.
– Comparing and contrasting the height of objects.
– Understanding the concepts of taller and shorter.

9. Tallest and Shortest:
– Extending the understanding of height to include extremes.
– Identifying the tallest and shortest objects in various scenarios.
– Engaging in activities to reinforce the concept of tallest and shortest.

10. Longer and Shorter:
– Introducing the concept of length.
– Comparing the length of different objects.
– Understanding the ideas of longer and shorter.

Throughout the course, emphasis will be placed on hands-on activities, visual aids, and interactive learning experiences to make mathematical concepts tangible and enjoyable for lower nursery students. The curriculum is designed to build a foundation for further mathematical understanding and promote critical thinking skills through observation and comparison

Mathematics – Level 3

This is an introductory course for our youngest math wizards where in engaging and interactive form students explore the concepts of mathematics. Our students enjoy participation in creative activities, where they learn to count, compare, classify, solve problems, and have lots of fun along the way.
Students can login and explore lessons.

ADMIRE offers classes for students in Upper Nursery through this course. In most cases students attend classes that correspond to their grade at school.  However, math skills and preparation can vary significantly, and it is important to match the student’s ability with an appropriate level of challenge.

Mathematics – Level 4

This is an introductory course for our youngest math wizards where in engaging and interactive form students explore the concepts of mathematics. Our students enjoy participation in creative activities, where they learn to count, compare, classify, solve problems, and have lots of fun along the way.
Students can login and explore lessons.

ADMIRE offers classes for students in Kindergarten through this course. In most cases students attend classes that correspond to their grade at school.  However, math skills and preparation can vary significantly, and it is important to match the student’s ability with an appropriate level of challenge.

Mathematics – 8

This is an introductory course for our youngest math wizards where in engaging and interactive form students explore the concepts of mathematics. Our students enjoy participation in creative activities, where they learn to count, compare, classify, solve problems, and have lots of fun along the way.
Students can login and explore lessons.

ADMIRE offers small classes for students in grades Nursery through high school. In most cases students attend classes that correspond to their grade at school.  However, math skills and preparation can vary significantly, and it is important to match the student’s ability with an appropriate level of challenge.

Welcome to the exciting world of Class 8 Mathematics! In this course, we will embark on a mathematical journey that explores a wide array of intriguing themes. Mathematics is not just about numbers; it’s about understanding the world around us through patterns, relationships, and logical thinking. Let’s dive into what we will be covering in this class.

Theme 01: Rational Numbers
We kick off our journey with rational numbers, diving into the world of fractions, decimals, and how these numbers fit together in the grand scheme of mathematics.

Theme 02: Exponents
Exponents are a powerful tool in mathematics. We will learn how to express large and small numbers more efficiently, opening up doors to various mathematical operations.

Theme 03: Square Roots and Theme 04: Cube Roots
Roots are the building blocks for understanding more complex mathematical concepts. We’ll delve into square roots and cube roots, unveiling their significance and applications.

Theme 05: Playing with Numbers
Numbers can be fascinating. In this theme, we’ll explore interesting properties, divisibility rules, and number puzzles that will tickle your mathematical curiosity.

Theme 06: Sets
Sets are the foundation of many mathematical concepts. We’ll discover how to classify and work with sets of numbers and objects.

Theme 07: Percentage and its Applications
Percentage is a crucial concept in everyday life. We will understand how percentages are used in various real-world scenarios.

Theme 08: Simple Interest and Compound Interest
Money matters! We’ll learn about simple and compound interest, helping you make informed financial decisions.

Theme 09: Direct and Indirect Variation**
Understanding how two quantities relate to each other is vital. We’ll explore direct and indirect variation, which will be valuable throughout your mathematical journey.

Theme 10: Time and Work
Time and work problems are not just mathematical but are applicable in many real-life situations. We’ll equip you with the tools to tackle these problems effectively.

Theme 11: Algebraic Expressions
Algebra is where we start connecting various mathematical concepts. We’ll work with algebraic expressions and understand how they represent relationships.

Theme 12: Identities
Identities are powerful tools in algebra. We’ll explore various algebraic identities and their applications.

Theme 13: Factorisation
Factorization is a fundamental skill. We’ll learn how to break down algebraic expressions and numbers into their prime factors.

Theme 14: Linear Equations and Inequations
Linear equations and inequalities are essential tools for problem-solving. We’ll equip you with the skills to solve and work with them.

Theme 15: Understanding Shapes
Geometry is all about shapes and their properties. We’ll explore different types of shapes and their characteristics.

Theme 16: Representing 3-D in 2-D
This theme will take you from 3-Dimensional shapes to their 2-Dimensional representations, an important skill in geometry.

Theme 17: Constructions of Quadrilaterals
We’ll delve into the art of constructing quadrilaterals, a practical application of geometry.

Theme 18: Symmetry
Symmetry is all around us. We’ll learn how to identify and work with symmetrical shapes.

Theme 19: Circles
Circles have unique properties. We’ll explore the world of circles, including their parts and how to work with them.

Theme 20: Area of Plane Figures
Calculating the area of shapes is an important skill. We’ll explore how to find the areas of various plane figures.

Theme 21: Volume and Surface Area of Solids
We’ll dive into the third dimension, learning how to calculate the volume and surface area of various solid shapes.

Theme 22: Classification of Data
Statistics is a crucial part of mathematics. We’ll explore how to classify and represent data effectively.

Theme 23: Probability
Probability is the mathematical tool that helps us understand uncertainty. We’ll learn to calculate and work with probabilities.

Get ready to embark on a mathematical adventure where we explore numbers, shapes, and the fascinating world of mathematical relationships. By the end of this course, you’ll have gained a deeper understanding of the beauty and practicality of mathematics. Welcome to Class 8 Mathematics!

Mathematics – 7

This is an introductory course for our youngest math wizards where in engaging and interactive form students explore the concepts of mathematics. Our students enjoy participation in creative activities, where they learn to count, compare, classify, solve problems, and have lots of fun along the way.
Students can login and explore lessons.

ADMIRE offers small classes for students in grades Nursery through high school. In most cases students attend classes that correspond to their grade at school.  However, math skills and preparation can vary significantly, and it is important to match the student’s ability with an appropriate level of challenge.

Welcome to the fascinating world of Class 6 Mathematics! In this course, we will embark on an exciting journey through a diverse range of mathematical themes. Mathematics is not just about numbers; it’s about understanding patterns, solving problems, and making sense of the world around us. Let’s dive into the incredible themes we’ll be exploring this year.

Theme 01: Integers
Our journey begins with the world of integers—both positive and negative numbers. We’ll learn to perform operations, understand their significance, and use them in various real-world situations.

Theme 02: Rational Numbers
We’ll delve into the realm of rational numbers, including fractions and decimals, and explore how these numbers play a crucial role in everyday life and mathematical operations.

Theme 03: Decimals
Decimals are everywhere. We’ll master decimal numbers, including addition, subtraction, multiplication, and division. These skills will be handy for many real-life applications.

Theme 04: Fractions
Fractions are essential in everyday life and mathematics. We’ll work with fractions, understand their operations, and apply them in problem-solving.

Theme 05: Exponents
Exponents are powerful tools. We’ll explore how they simplify large and small numbers and learn to work with them efficiently.

Theme 06: Sets
Sets are the foundation of many mathematical concepts. We’ll understand how to classify and work with sets of numbers and objects.

Theme 07: Ratio and Proportion
Ratio and proportion are fundamental concepts that apply to various scenarios. We’ll master the art of comparing and scaling in this theme.

Theme 08: Percentage
Percentage is a vital concept in everyday life. We will explore its applications and understand how to work with percentages.

Theme 09: Profit, Loss, and Discount
Understanding finances is crucial. We’ll dive into profit, loss, and discounts, equipping you with financial literacy skills.

Theme 10: Simple Interest
Money matters! We’ll learn about simple interest, a fundamental concept for financial calculations.

Theme 11: Speed, Distance, and Time
This theme deals with the real-world applications of mathematics. We’ll learn how to calculate speed, distance, and time, which is vital for many scenarios.

Theme 12: Algebraic Expressions
Algebra is where we start connecting various mathematical concepts. We’ll work with algebraic expressions and understand how they represent relationships.

Theme 13: Linear Equations
Linear equations are the building blocks of algebra. We’ll learn to solve and work with these equations.

Theme 14: Linear Inequations
Inequalities introduce a new dimension to equations. We’ll master linear inequations, equipping you with problem-solving skills.

Theme 15: Understanding Shapes
Geometry is all about shapes and their properties. We’ll explore different types of shapes and their characteristics.

Theme 16: Properties of Triangles
Triangles are fundamental shapes in geometry. We’ll learn about their properties and how to work with them.

Theme 17: Symmetry
Symmetry is all around us. We’ll learn how to identify and work with symmetrical shapes.

Theme 18: Representation of 3-D in 2-D
This theme bridges the gap between three-dimensional objects and their two-dimensional representations, a crucial skill in geometry.

Theme 19: Congruent Triangles
Congruence in triangles is a fascinating concept. We’ll explore the conditions for triangle congruence.

Theme 20: Construction
Learn the art of construction by creating various geometric figures accurately.

Theme 21: Perimeter and Area of Polygon
Calculate the perimeters and areas of polygons in this theme, which has practical applications in real life.

Theme 22: Circumference and Area of a Circle
Explore the world of circles, including their circumference and area.

Theme 23: Collection and Organisation of Data
Statistics is an essential part of mathematics. We’ll delve into how to collect and organize data effectively.

Theme 24: Probability
Probability is a mathematical tool that helps us understand uncertainty. We’ll learn to calculate and work with probabilities.

Get ready to embark on an exciting mathematical adventure. By the end of this course, you’ll have gained a deeper understanding of the beauty and practicality of mathematics. Welcome to Class 6 Mathematics!

Mathematics – 5

This is an introductory course for our youngest math wizards where in engaging and interactive form students explore the concepts of mathematics. Our students enjoy participation in creative activities, where they learn to count, compare, classify, solve problems, and have lots of fun along the way.
Students can login and explore lessons.

ADMIRE offers small classes for students in grades Nursery through high school. In most cases students attend classes that correspond to their grade at school.  However, math skills and preparation can vary significantly, and it is important to match the student’s ability with an appropriate level of challenge.

Class 5 Mathematics Course Summary

Theme 1: Knowing Our Numbers

– Understanding place value in larger numbers

– Reading and writing numbers up to billions

– Comparing and ordering numbers

– Exploring properties of numbers

Theme 2: Operations on Large Numbers

– Addition and subtraction of large numbers

– Multiplication of multi-digit numbers

– Division of multi-digit numbers

– Solving word problems involving large numbers

Theme 3: Roman Numerals

– Introduction to Roman numerals

– Understanding the rules for forming and reading Roman numerals

– Practicing the conversion of Roman numerals to Arabic numerals and vice versa

Theme 4: Factors & Multiples

– Identifying factors and multiples of numbers

– Prime and composite numbers

– Finding the common factors and multiples of two or more numbers

Theme 5: Fractions

– Understanding the concept of fractions

– Equivalent fractions

– Addition, subtraction, multiplication, and division of fractions

– Solving word problems involving fractions

Theme 6: Decimals

– Place value and reading decimals

– Addition, subtraction, multiplication, and division of decimals

– Relationship between fractions and decimals

– Real-world applications of decimals

Theme 7: Ratio and Percentage

– Introduction to ratios and proportions

– Understanding percentages as ratios out of 100

– Solving problems involving ratios and percentages

Theme 8: Bills

– Reading and understanding bills and invoices

– Calculating the total cost of items

– Making change and calculating discounts

Theme 9: Profit, Loss, and Interest

– Understanding profit and loss in business transactions

– Calculating simple interest

– Real-world applications of profit, loss, and interest

Theme 10: Integers

– Understanding positive and negative integers

– Addition, subtraction, multiplication, and division of integers

– Solving word problems involving integers

Throughout the course, students will engage in a variety of activities, including problem-solving, critical thinking, and real-world applications, to develop a strong foundation in mathematical concepts and skills.

Mathematics – 4

Class 4 Mathematics Course Introduction

This is an introductory course for our youngest math wizards where in engaging and interactive form students explore the concepts of mathematics. Our students enjoy participation in creative activities, where they learn to count, compare, classify, solve problems, and have lots of fun along the way.
Students can login and explore lessons.

ADMIRE offers small classes for students in grades Nursery through high school. In most cases students attend classes that correspond to their grade at school.  However, math skills and preparation can vary significantly, and it is important to match the student’s ability with an appropriate level of challenge.

 Course Overview:

Welcome to the Class 4 Mathematics course! This academic year is an exciting journey into the world of mathematics, where students will build upon the foundational concepts learned in previous grades and delve into new and engaging mathematical topics. The curriculum is designed to foster a strong understanding of mathematical principles, problem-solving skills, and a love for learning.

 Course Themes:

  1. Numeration: Understanding numbers, place value, and basic numeration concepts.
  2. Roman Numerals: Introducing the Roman numeral system and its applications.
  3. Addition and Subtraction: Developing skills in addition and subtraction, including regrouping.
  4. Multiplication: Exploring multiplication concepts and building multiplication skills.
  5. Division: Introducing division as a concept and developing division skills.
  6. Factors and Multiples: Understanding factors and multiples and their practical applications.
  7. Fractions: Exploring the basics of fractions, including equivalent fractions and operations.
  8. Decimals: Introducing decimal notation, place value, and basic operations with decimals.
  9. Money: Learning about different denominations, counting money, and basic financial literacy.
  10. Time: Understanding and measuring time, including reading analog and digital clocks.
  11. Measurements: Exploring units of measurement for length, mass, volume, and solving measurement problems.
  12. Area and Perimeter: Calculating the area and perimeter of polygons and solving related problems.
  13. Introduction to Geometry: Identifying and understanding basic geometric shapes, angles, and patterns.
  14. Polygons: Classifying and exploring polygons, understanding their properties and measurements.
  15. Data Interpretation: Introducing the basics of data representation, interpretation, and drawing conclusions.

Teaching Methodology:

–  Hands-on Activities:  Engage in activities that involve physical manipulatives and practical applications to reinforce mathematical concepts.

–  Visual Aids:  Utilize visual aids such as charts, graphs, and diagrams to enhance understanding.

–  Real-life Applications:  Connect mathematical concepts to real-life situations to highlight the relevance and practicality of what is being learned.

–  Problem-Solving:  Emphasize problem-solving skills through various mathematical challenges and scenarios.

–  Interactive Learning:  Encourage participation through interactive discussions, group activities, and peer collaboration.

 Assessment:

Assessment methods will include regular quizzes, assignments, and periodic tests to gauge understanding and progress. Additionally, practical applications and problem-solving tasks will be integral parts of the assessment process.

 Goals:

By the end of this course, students will have a solid foundation in fundamental mathematical concepts, critical thinking skills, and the ability to apply mathematical knowledge to practical situations. The aim is not only to impart knowledge but also to instill a curiosity and confidence in approaching mathematical challenges.

Let’s embark on this mathematical journey together!