Mathematics Grade 11 – Extra Smart

About Course

Course Description: Grade 10 Mathematics Paper 1 (CAPS Curriculum) – Extra Smart

The Grade 10 Mathematics Paper 1 course, offered by Extra Smart, is designed to provide comprehensive preparation for students studying Mathematics in accordance with the South African CAPS curriculum. This course focuses on the foundational concepts and skills required for success in Paper 1 of the Grade 10 Mathematics exam.

Throughout the course, students will gain a deep understanding of essential topics such as:

Algebra: Simplification, factorization, solving linear equations, and inequalities.
Functions and Graphs: Introduction to functions, graphical representations, and the analysis of linear and quadratic functions.
Geometry: Properties of angles, triangles, and geometric constructions, along with theorems related to circles.
Measurement: Calculations involving perimeter, area, and volume for a variety of shapes and 3D objects.
Trigonometry: Basic trigonometric ratios, the application of the sine, cosine, and tangent functions, and solving problems in right-angled triangles.
Data Handling and Probability: Interpretation of data, working with averages, and basic probability concepts.

The course is structured to develop both conceptual understanding and problem-solving skills through engaging lessons, practice exercises, and mock exams. Students will learn how to approach complex questions with confidence and accuracy, focusing on effective exam techniques and time management.

By the end of the course, learners will be well-prepared for the Grade 10 Mathematics Paper 1 exam, equipped with the knowledge and skills to excel in this key subject of the CAPS curriculum. Whether you’re aiming for top marks or simply looking to improve your understanding of mathematics, this course by Extra Smart will guide you towards success.

Grade 11 Mathematics CAPS Curriculum
Grade 11 Mathematics CAPS Curriculum
Introduction
In Grade 11 Mathematics, as per the CAPS Curriculum, you will deepen your understanding of key mathematical concepts and expand your problem-solving skills. The curriculum covers a wide range of topics that are foundational for further study in mathematics, as well as for real-world applications.
Key Areas Covered
1. Algebra
Simplifying algebraic expressions
Solving linear, quadratic, and higher-degree equations
Solving inequalities
Sequences and series (arithmetic and geometric)
Exponents and surds
2. Functions and Graphs
Understanding and interpreting functions
Graphing linear, quadratic, cubic, and polynomial functions
Transformations of graphs (translations, reflections, stretches)
Inverse functions
3. Trigonometry
Trigonometric ratios (sine, cosine, and tangent)
Trigonometric identities
Solving trigonometric equations
Graphs of trigonometric functions
4. Analytical Geometry
Equation of a line and slope
Distance and midpoint formula
Parallel and perpendicular lines
Conic sections (circle, parabola)
5. Measurement
Perimeter, area, and volume of 2D and 3D shapes
Surface area and volume of cylinders, cones, and spheres
Trigonometry in measurement
6. Probability and Statistics
Descriptive statistics: mean, median, mode, range
Basic probability concepts and calculations
Venn diagrams
Data representation using charts and graphs
Skills You Will Develop
Problem-solving and critical thinking skills
Real-world application of mathematical concepts
Logical and analytical thinking
Effective communication of mathematical solutions
Time management and exam preparation skills
Assessment Structure
Your assessments will include:
Term Tests and Exams: Focused on specific content areas with multiple-choice, short-answer, and problem-solving questions.
Portfolio Tasks: Assignments and projects applying mathematical concepts to real-life situations.
Final Exam (Paper 1): Covers core topics such as algebra, functions, trigonometry, and geometry.
© 2024 Grade 11 Mathematics Curriculum - CAPS South Africa

Course Content

Algebra
Algebra in Grade 11 focuses on simplifying, factoring, and solving various types of algebraic expressions and equations. Key areas include solving linear and quadratic equations, working with exponents, and using simultaneous equations. Students will also tackle factorization and the manipulation of surds, helping build a strong foundation for solving complex algebraic problems.

Algebra

24:00
Multiple Choice Questions:

Functions and Graphs
This topic introduces students to different types of functions such as linear, quadratic, and exponential functions, along with their graphical representations. Students will learn how to plot graphs, analyze key features like intercepts, turning points, and asymptotes, and explore the transformations of graphs (e.g., translations and reflections). Understanding function notation and operations, including inverses, is also key to mastering this section

Trigonometry
Trigonometry in Grade 11 builds on the basics learned in earlier grades, focusing on the application of trigonometric ratios (sine, cosine, tangent) in both right-angled and non-right-angled triangles. Students will use the sine and cosine rules to solve triangles and apply trigonometric identities in various mathematical problems, including real-world applications such as height and distance calculations

Analytical Geometry
Analytical Geometry involves the study of straight lines, their equations, and properties. Students will learn how to calculate the gradient, distance, and midpoint between points, as well as work with equations of straight lines in different forms (slope-intercept, general form). This section also covers the interpretation and solving of geometric problems algebraically, including understanding parallel and perpendicular lines

Measurement
The Measurement section covers the calculation of perimeter, area, and volume for 2D and 3D shapes, such as triangles, circles, spheres, and cylinders. Students will practice converting between different units of measurement and solve real-life problems involving geometry, helping to develop practical skills in applying mathematical concepts to everyday situations

Probability and Data Handling
In this section, students will study probability theory, including calculating the probability of events and understanding compound events using Venn diagrams and tree diagrams. Additionally, they will work with descriptive statistics such as the mean, median, mode, range, and standard deviation to interpret and analyze data. Representing data through various graphs, such as histograms and cumulative frequency graphs, is also part of this topic

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About Course

What Will You Learn?

Course Content

Algebra

Multiple Choice Questions:

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