Courses

Integrated Maths 2

Integrated Maths 2 is designed to build upon foundational mathematical concepts, enhancing students' skills in algebra, geometry, trigonometry, and introductory calculus. The curriculum is structured to foster critical thinking, problem-solving, and the application of mathematical theories to real-world situations. Through engaging lessons, practical exercises, and collaborative projects, students will deepen their understanding and appreciation of mathematics, preparing them for advanced studies and diverse career paths.

Age group: 10-17

Content

Module 1: Analyzing Functions - Introduction to functions and their characteristics. Understand domain, range, and mapping diagrams. Identify key features of functions. Module 2: Absolute Value Functions, Equations, and Inequalities - Study absolute value functions and their graphs. Learn to solve absolute value equations and inequalities. Explore applications of absolute value functions. Module 3: Rational Exponents and Radicals - Understand properties of rational exponents. Simplify expressions with radicals. Perform operations with radicals. Module 4: Adding and Subtracting Polynomials - Learn addition and subtraction of polynomials. Understand polynomial expressions and terms. Apply polynomial operations. Module 5: Multiplying Polynomials - Explore multiplication of binomials and trinomials. Study special products and patterns. Apply polynomial multiplication in real-world contexts. Module 6: Graphing Quadratic Functions - Understand characteristics of quadratic functions. Learn vertex form and standard form. Explore transformations of quadratic graphs. Module 7: Connecting Intercepts, Zeros, and Factors - Find intercepts and zeros of quadratic functions. Factor quadratic expressions. Understand relationships between intercepts, zeros, and factors. Module 8: Using Factors to Solve Quadratic Equations - Factor quadratic equations. Solve quadratic equations by factoring. Apply factoring in real-world problems. Module 9: Using Square Roots to Solve Quadratic Equations - Solve quadratic equations using the square root property. Understand and apply the quadratic formula. Explore applications of quadratic equations in geometry and physics. Module 10: Linear, Exponential, and Quadratic Equations - Compare linear, exponential, and quadratic growth. Solve systems of equations involving these functions. Model real-world scenarios using these equations. Module 11: Quadratic Equations and Complex Numbers - Introduction to complex numbers. Solve quadratic equations with complex solutions. Apply complex numbers in quadratic equations. Module 12: Quadratic Relations and Systems of Equations - Understand quadratic relations and their graphs. Solve systems of quadratic equations. Explore applications of quadratic relations and systems of equations. Module 13: Functions and Inverses - Study function composition and inverse functions. Find inverses of functions algebraically and graphically. Apply functions and inverses in real-world scenarios. Module 14: Proofs with Lines and Angles - Learn basic geometric proofs involving lines and angles. Understand the properties of parallel lines and transversals. Study angle relationships in geometric proofs. Module 15: Proofs with Triangles and Quadrilaterals - Prove triangle congruence and similarity theorems. Understand the properties of quadrilaterals and their proofs. Apply triangle and quadrilateral properties in proofs. Module 16: Similarity and Transformations - Study similarity transformations and their properties. Apply similarity transformations in geometry. Solve problems involving scale factors. Module 17: Using Similar Triangles - Understand properties of similar triangles. Apply proportions in similar triangles. Explore applications of similar triangles in geometry and trigonometry. Module 18: Trigonometry with Right Triangles - Learn trigonometric ratios in right triangles. Solve right triangles using trigonometry. Apply trigonometry in real-world contexts. Module 19: Angles and Segments in Circles - Study properties of angles formed by chords, secants, and tangents. Understand arcs and central angles. Learn about inscribed angles and intercepted arcs. Module 20: Arc Length and Sector Area - Understand arc length and sector area formulas. Apply arc length and sector area in geometry and physics. Solve problems involving circles and sectors. Module 21: Volume Formulas - Learn volume formulas for prisms, cylinders, pyramids, cones, and spheres. Apply volume formulas in geometry and engineering. Solve volume problems involving irregular shapes. Module 22: Introduction to Probability - Understand basic probability concepts and notation. Learn probability rules and laws. Explore applications of probability. Module 23: Conditional Probability and Independence of Events - Study conditional probability and joint probability. Understand the independence of events and mutually exclusive events. Apply conditional probability in real-world situations. Module 24: Probability and Decision-Making - Learn expected value and decision-making. Apply probability in decision-making and risk assessment. Solve problems involving probability distributions and expected outcomes.

Prerequisites

Understanding of fundamental algebraic concepts, linear equations, inequalities, and basic geometric principles is essential.
Familiarity with basic geometric shapes, properties, and theorems.
Proficiency in manipulating algebraic expressions and solving linear equations.

Objectives

Strengthen Algebraic Proficiency: Students will solidify their understanding of algebraic principles, including quadratic equations, polynomials, and rational expressions, enabling them to solve complex problems with confidence.
Master Geometric Concepts: Students will explore advanced geometric topics, such as theorems related to circles, similarity and congruence, and coordinate geometry, applying these concepts to solve real-world problems.
Develop Trigonometric Skills: Students will gain proficiency in trigonometric functions, identities, and equations, learning to apply trigonometry to various contexts, including physics and engineering problems.
Introduce Calculus Fundamentals: Students will be introduced to the basic concepts of calculus, including limits, derivatives, and integrals, laying the groundwork for future studies in higher mathematics.
Foster Analytical Thinking: Students will enhance their analytical and logical reasoning skills, learning to construct and evaluate mathematical arguments and proofs effectively.

Outcomes

Algebraic Problem-Solving: Students will demonstrate the ability to solve advanced algebraic equations and manipulate algebraic expressions to model and solve real-world problems.
Geometric Application: Students will apply geometric principles to analyze and solve problems involving shapes, angles, and distances, demonstrating a clear understanding of geometric relationships.
Trigonometric Application: Students will use trigonometric functions and identities to solve problems in various contexts, including those related to waves, oscillations, and circular motion.
Calculus Readiness: Students will show a basic understanding of calculus concepts, including the ability to calculate limits, derivatives, and integrals, preparing them for more advanced studies in mathematics.
Critical and Analytical Thinking: Students will exhibit strong analytical thinking skills, capable of constructing logical arguments, solving complex problems, and evaluating mathematical proofs.

Why learn with Enthuziastic?

Here's why more and more people are joining Enthuziastic

Personalized Lessons

Customize your lessons to meet your individual goals.

Expert Teachers

Top rated teachers to guide you through the learning process.

Flexible Timings

Attend classes anytime, anywhere. Make your own schedule.

Easy Rescheduling

Manage holidays or conflicting appointments easily by rescheduling classes.

Complete Support

A compassionate support team to listen to your needs.

Homework & Assignments

Reinforce your learning with practical homework and hands-on assignments.

Completion Certificate

You will get a certificate for the completion of the course.

Group Discussion & Peer Learning

Collaborate with peers through discussions and shared learning experiences.

Access to Alumni Community

Join a vibrant alumni network for support, insights, and continued learning.

Post-Course Support & Career Guidance

Get expert support and career advice even after the course ends.

How it works?

Enroll

Enroll for the course of your liking by selecting 1:1 or group classes. Choose the type of instructor you want to learn with.

Schedule

Download Enthu app and schedule classes for the day and time that works best for you. You own your learning schedule.

Learn

Join classes on Zoom and start learning with lessons customized for you. Make most of our student success program.

Value Proposition

We offer a diverse range of interactive classes, ensuring accessible and personalized education for everyone, anytime, anywhere.

Carefully Curated Expert Instructors

All courses are taught by our expert instructors who are carefully chosen with a rigorous < 1% acceptance rate. For every 100 tutors interviewed, only 1 is chosen, ensuring you get the best.

Engaging and Interactive Classes

Each session is designed to be dynamic and captivating, ensuring the learner stays excited and engaged throughout.

Progress Reports

Our team works hard behind the scenes to create and maintain a meticulously detailed progress report for each learner as they progress through the sessions.

Session Recordings

The recordings of each session are automatically available in the app after 24 hours of each session, they are extremely helpful for revisions.

Certificates

Some rewards are necessary for motivating learners and Enthuziastic awards dedicated learners with official certificate of completion and if they win in any of our regular competitions, they are awarded the respective winners certificates.

Feedback and Assignments

Parents/Learners provide us regular feedback after every session through a formal submission in the app, this helps us customize the learning path after every session according to how the learners are responding to the tutoring.

Chat Communication

Connect with instructors and peer learners directly via our app's dedicated chat group for every batch fostering a community experience while learning together.

24/7 Support

We take great pride in our service delivery. We're here for you round the clock to address any questions or concerns.

Quality & Affordability

The entire Enthuziastic team strives hard to bring you high quality learning at affordable prices. Because of the support of learners like yourself, we continue to grow our offerings and keep making them more and more affordable.

Personal Family Buddy

You will be assigned a personal family buddy, whom you can continuously stay in touch through and beyond your learners learning journey. Whatever your needs are you can always reach out to your Family Buddy/Student Success Manager whose only job is to make your learning journey successful.

Carefully Curated Expert Instructors

All courses are taught by our expert instructors who are carefully chosen with a rigorous < 1% acceptance rate. For every 100 tutors interviewed, only 1 is chosen, ensuring you get the best.

Engaging and Interactive Classes

Each session is designed to be dynamic and captivating, ensuring the learner stays excited and engaged throughout.

Progress Reports

Our team works hard behind the scenes to create and maintain a meticulously detailed progress report for each learner as they progress through the sessions.

Session Recordings

The recordings of each session are automatically available in the app after 24 hours of each session, they are extremely helpful for revisions.

Certificates

Feedback and Assignments

Chat Communication

Connect with instructors and peer learners directly via our app's dedicated chat group for every batch fostering a community experience while learning together.

24/7 Support

We take great pride in our service delivery. We're here for you round the clock to address any questions or concerns.

Quality & Affordability

Personal Family Buddy

Frequently asked questions (FAQs)

Expand all

Students will develop critical thinking, problem-solving, analytical reasoning, and the ability to make connections between algebraic and geometric concepts.

Yes, a graphing calculator is often recommended or required, as it helps with understanding and visualizing complex functions and solving equations.

Topics typically include quadratic functions, polynomials, rational expressions, radicals, coordinate geometry, trigonometry, and an introduction to probability and statistics.

Unlike traditional courses that separate algebra and geometry, Integrated Math 2 blends these subjects together, allowing students to see the connections between different mathematical concepts and apply them in various contexts.

Students will develop critical thinking, problem-solving, analytical reasoning, and the ability to make connections between algebraic and geometric concepts.

Do you have any questions?

Fill this form and we will respond back, on priority.

This course Includes

120 live tutoring sessions

Access on mobile and web

Certificate of completion

Hands-on Exercises & Practical Projects

Personalized Feedback & Coaching

Session Recordings for Rewatching

Typical Price

30-Day Money-Back Guarantee

Courses

Integrated Maths 2

Age group: 10-17

Content

Prerequisites

Understanding of fundamental algebraic concepts, linear equations, inequalities, and basic geometric principles is essential.
Familiarity with basic geometric shapes, properties, and theorems.
Proficiency in manipulating algebraic expressions and solving linear equations.

Objectives

Strengthen Algebraic Proficiency: Students will solidify their understanding of algebraic principles, including quadratic equations, polynomials, and rational expressions, enabling them to solve complex problems with confidence.
Master Geometric Concepts: Students will explore advanced geometric topics, such as theorems related to circles, similarity and congruence, and coordinate geometry, applying these concepts to solve real-world problems.
Develop Trigonometric Skills: Students will gain proficiency in trigonometric functions, identities, and equations, learning to apply trigonometry to various contexts, including physics and engineering problems.
Introduce Calculus Fundamentals: Students will be introduced to the basic concepts of calculus, including limits, derivatives, and integrals, laying the groundwork for future studies in higher mathematics.
Foster Analytical Thinking: Students will enhance their analytical and logical reasoning skills, learning to construct and evaluate mathematical arguments and proofs effectively.

Outcomes

Algebraic Problem-Solving: Students will demonstrate the ability to solve advanced algebraic equations and manipulate algebraic expressions to model and solve real-world problems.
Geometric Application: Students will apply geometric principles to analyze and solve problems involving shapes, angles, and distances, demonstrating a clear understanding of geometric relationships.
Trigonometric Application: Students will use trigonometric functions and identities to solve problems in various contexts, including those related to waves, oscillations, and circular motion.
Calculus Readiness: Students will show a basic understanding of calculus concepts, including the ability to calculate limits, derivatives, and integrals, preparing them for more advanced studies in mathematics.
Critical and Analytical Thinking: Students will exhibit strong analytical thinking skills, capable of constructing logical arguments, solving complex problems, and evaluating mathematical proofs.

Why learn with Enthuziastic?

Here's why more and more people are joining Enthuziastic

Personalized Lessons

Customize your lessons to meet your individual goals.

Expert Teachers

Top rated teachers to guide you through the learning process.

Flexible Timings

Attend classes anytime, anywhere. Make your own schedule.

Easy Rescheduling

Manage holidays or conflicting appointments easily by rescheduling classes.

Complete Support

A compassionate support team to listen to your needs.

Homework & Assignments

Reinforce your learning with practical homework and hands-on assignments.

Completion Certificate

You will get a certificate for the completion of the course.

Group Discussion & Peer Learning

Collaborate with peers through discussions and shared learning experiences.

Access to Alumni Community

Join a vibrant alumni network for support, insights, and continued learning.

Post-Course Support & Career Guidance

Get expert support and career advice even after the course ends.

How it works?

Enroll

Enroll for the course of your liking by selecting 1:1 or group classes. Choose the type of instructor you want to learn with.

Schedule

Download Enthu app and schedule classes for the day and time that works best for you. You own your learning schedule.

Learn

Join classes on Zoom and start learning with lessons customized for you. Make most of our student success program.

Value Proposition

We offer a diverse range of interactive classes, ensuring accessible and personalized education for everyone, anytime, anywhere.

Carefully Curated Expert Instructors

All courses are taught by our expert instructors who are carefully chosen with a rigorous < 1% acceptance rate. For every 100 tutors interviewed, only 1 is chosen, ensuring you get the best.

Engaging and Interactive Classes

Each session is designed to be dynamic and captivating, ensuring the learner stays excited and engaged throughout.

Progress Reports

Our team works hard behind the scenes to create and maintain a meticulously detailed progress report for each learner as they progress through the sessions.

Session Recordings

The recordings of each session are automatically available in the app after 24 hours of each session, they are extremely helpful for revisions.

Certificates

Feedback and Assignments

Chat Communication

Connect with instructors and peer learners directly via our app's dedicated chat group for every batch fostering a community experience while learning together.

24/7 Support

We take great pride in our service delivery. We're here for you round the clock to address any questions or concerns.

Quality & Affordability

Personal Family Buddy

Carefully Curated Expert Instructors

All courses are taught by our expert instructors who are carefully chosen with a rigorous < 1% acceptance rate. For every 100 tutors interviewed, only 1 is chosen, ensuring you get the best.

Engaging and Interactive Classes

Each session is designed to be dynamic and captivating, ensuring the learner stays excited and engaged throughout.

Progress Reports

Our team works hard behind the scenes to create and maintain a meticulously detailed progress report for each learner as they progress through the sessions.

Session Recordings

The recordings of each session are automatically available in the app after 24 hours of each session, they are extremely helpful for revisions.

Certificates

Feedback and Assignments

Chat Communication

Connect with instructors and peer learners directly via our app's dedicated chat group for every batch fostering a community experience while learning together.

24/7 Support

We take great pride in our service delivery. We're here for you round the clock to address any questions or concerns.

Quality & Affordability

Personal Family Buddy

Frequently asked questions (FAQs)

Expand all

Students will develop critical thinking, problem-solving, analytical reasoning, and the ability to make connections between algebraic and geometric concepts.

Yes, a graphing calculator is often recommended or required, as it helps with understanding and visualizing complex functions and solving equations.

Topics typically include quadratic functions, polynomials, rational expressions, radicals, coordinate geometry, trigonometry, and an introduction to probability and statistics.

Students will develop critical thinking, problem-solving, analytical reasoning, and the ability to make connections between algebraic and geometric concepts.