This document contains summaries of several ICT class sessions for a Form 5 class. It describes the learning objectives, activities, and reflections for classes on topics like multimedia concepts, hardware and software, multimedia development, and producing an educational multimedia project. The activities involved defining terms, identifying examples, group discussions, exercises using multimedia content, and storyboarding a multimedia project. The reflections note achievement of objectives and ways to improve student understanding.
The document discusses solving simultaneous equations. It provides examples of simultaneous equations involving two variables (x and y) and two equations, including one linear and one non-linear equation. Methods for solving the simultaneous equations include expressing one variable in terms of the other, substituting one equation into the other, and solving for the variables. Solutions may have multiple answer pairs for x and y.
A quadratic function has the form f(x) = ax^2 + bx + c, where a != 0. The graph of a quadratic function is a parabola, which is symmetric around its axis of symmetry. Any quadratic function can be written in standard form by completing the square, where the standard form is f(x) = a(x-h)^2 + k. The vertex of the parabola is the point (h, k) and the line of symmetry is x = h.
The document discusses integration and indefinite integrals. It covers determining integrals by reversing differentiation, integrating algebraic expressions like constants, variables, and polynomials. It also discusses determining the constant of integration and using integration to find equations of curves from their gradients. Examples are provided to illustrate integrating functions and finding volumes generated by rotating an area about an axis.
The document discusses the evolution of computers from first to fifth generation and the key developments within each generation. It also covers topics on information and communication technology (ICT) including its usage in everyday life, differences between computerized and non-computerized systems, and the impact of ICT on society. Finally, it discusses computer ethics, legal issues, intellectual property laws, privacy protection, and authentication methods.
This document discusses quadratic equations, including:
1) Recognizing quadratic equations in the form ax^2 + bx + c and their characteristics.
2) Methods to solve quadratic equations including factoring, completing the square, and the quadratic formula.
3) Forming a quadratic equation given its two roots.
4) The relationship between the discriminant (Δ) and the nature of the roots, whether they are real/distinct, real/equal, or imaginary.
This document contains the annual planning schedule for the Additional Mathematics (Form 4) course at Sekolah Menengah Kebangsaan Bukit Saujana. It includes 11 topics that will be covered between January and December, showing the weeks allocated for each topic. It also includes remarks about tests, revisions, and school holidays. The schedule is displayed in a Gantt chart format with the topics listed on the left and months along the top to indicate the planned timing for each topic.
This document contains summaries of several ICT class sessions for a Form 5 class. It describes the learning objectives, activities, and reflections for classes on topics like multimedia concepts, hardware and software, multimedia development, and producing an educational multimedia project. The activities involved defining terms, identifying examples, group discussions, exercises using multimedia content, and storyboarding a multimedia project. The reflections note achievement of objectives and ways to improve student understanding.
The document discusses solving simultaneous equations. It provides examples of simultaneous equations involving two variables (x and y) and two equations, including one linear and one non-linear equation. Methods for solving the simultaneous equations include expressing one variable in terms of the other, substituting one equation into the other, and solving for the variables. Solutions may have multiple answer pairs for x and y.
A quadratic function has the form f(x) = ax^2 + bx + c, where a != 0. The graph of a quadratic function is a parabola, which is symmetric around its axis of symmetry. Any quadratic function can be written in standard form by completing the square, where the standard form is f(x) = a(x-h)^2 + k. The vertex of the parabola is the point (h, k) and the line of symmetry is x = h.
The document discusses integration and indefinite integrals. It covers determining integrals by reversing differentiation, integrating algebraic expressions like constants, variables, and polynomials. It also discusses determining the constant of integration and using integration to find equations of curves from their gradients. Examples are provided to illustrate integrating functions and finding volumes generated by rotating an area about an axis.
The document discusses the evolution of computers from first to fifth generation and the key developments within each generation. It also covers topics on information and communication technology (ICT) including its usage in everyday life, differences between computerized and non-computerized systems, and the impact of ICT on society. Finally, it discusses computer ethics, legal issues, intellectual property laws, privacy protection, and authentication methods.
This document discusses quadratic equations, including:
1) Recognizing quadratic equations in the form ax^2 + bx + c and their characteristics.
2) Methods to solve quadratic equations including factoring, completing the square, and the quadratic formula.
3) Forming a quadratic equation given its two roots.
4) The relationship between the discriminant (Δ) and the nature of the roots, whether they are real/distinct, real/equal, or imaginary.
This document contains the annual planning schedule for the Additional Mathematics (Form 4) course at Sekolah Menengah Kebangsaan Bukit Saujana. It includes 11 topics that will be covered between January and December, showing the weeks allocated for each topic. It also includes remarks about tests, revisions, and school holidays. The schedule is displayed in a Gantt chart format with the topics listed on the left and months along the top to indicate the planned timing for each topic.
The document is a Gantt chart that outlines the learning objectives and schedule for an Additional Mathematics course over several months. It shows the topics to be covered, the number of weeks allotted for each topic, and which weeks each objective will be taught and assessed. The key topics include quadratic equations, functions, indices and logarithms, coordinate geometry, statistics, circular measure, differentiation, and solutions of triangles. The schedule indicates these topics will be distributed throughout the months of January through December with regular periods dedicated for revision.
1. This document outlines the yearly lesson plan for mathematics for Form 5 students at SMK BKIT SAUJANA in 2010.
2. The plan spans 4 terms from January to November and covers 10 topics including number bases, graphs of functions, transformations, matrices, variations, plan and elevation, gradient and area under a graph, probability, bearing, and the earth as a sphere.
3. For each topic, the plan lists the number of weeks, expected objective and subjective minimum practice ratios, supporting materials, and intended use of information and communication technology.
This lesson plan outlines instruction on arithmetic and geometric progressions over 3 weeks. It includes learning objectives, teaching activities, learning outcomes, and points to note for each week. Week 1 focuses on understanding and using arithmetic progressions through examples, formulas, and problem solving. Learners will be able to identify characteristics of arithmetic progressions, determine specific terms, the number of terms, and sums of terms using formulas. Week 2 covers geometric progressions similarly through examples, formulas, and problem solving. Week 3 extends geometric progressions to finding the sum to infinity.
1) The document outlines a teaching plan for quadratic equations and functions over several weeks. It includes learning objectives, outcomes, suggested activities and points to note for teachers.
2) Key concepts covered are quadratic equations, functions, graphs, maximum/minimum values, and solving simultaneous equations. Suggested activities include using graphing calculators, computer software and real-world examples.
3) The document provides detailed guidance for teachers on topics, skills, strategies and values to focus on for each area of learning.
The document provides a yearly plan for teaching Additional Mathematics Form 4. It is divided into 4 topics over 15 weeks. Topic A1 covers functions over 3 weeks and includes understanding relations, functions, composite functions, and inverse functions. Topic A2 covers quadratic equations over 3 weeks and includes solving quadratic equations through factorisation, completing the square, and using the quadratic formula. Topic A3 covers quadratic functions over 3 weeks and includes graphing quadratic functions and understanding their properties. Topic A4 covers simultaneous equations over 2 weeks using substitution and solving real-life problems. Topic G1 covers coordinate geometry over 5 weeks, including finding distances between points, midpoints of line segments, areas of polygons, and equations of straight lines. Each week outlines
A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a is not equal to zero. The graph of a quadratic function is a parabola, which is symmetric around its axis of symmetry. Any quadratic function can be written in standard form by completing the square, where the standard form is f(x) = a(x-h)^2 + k. The vertex of the parabola is the point (h, k) and finding the standard form makes it easy to identify the vertex.
This document discusses quadratic equations, including:
1) Recognizing quadratic equations in the form ax^2 + bx + c and their characteristics.
2) Methods to solve quadratic equations including factoring, completing the square, and the quadratic formula.
3) Forming a quadratic equation given its two roots.
4) The relationship between the discriminant (Δ) and the nature of the roots, whether they are real/distinct, real/equal, or imaginary.
(1) The functions f and g are given as:
f(x) = x + 1
fg(x) = x^2 + 2x - 4
(2) The functions f and g are given as:
f(x) = x^2 - 5
gf(x) = 2x^2 - 9
(3) The question asks to find the function g such that the composite functions equal the given functions.
The document is a Gantt chart that outlines the learning objectives and schedule for an Additional Mathematics course over several months. It shows the topics to be covered, the number of weeks allotted for each topic, and which weeks each objective will be taught and assessed. The key topics include quadratic equations, functions, indices and logarithms, coordinate geometry, statistics, circular measure, differentiation, and solutions of triangles. The schedule indicates these topics will be distributed throughout the months of January through December with regular periods dedicated for revision.
1. This document outlines the yearly lesson plan for mathematics for Form 5 students at SMK BKIT SAUJANA in 2010.
2. The plan spans 4 terms from January to November and covers 10 topics including number bases, graphs of functions, transformations, matrices, variations, plan and elevation, gradient and area under a graph, probability, bearing, and the earth as a sphere.
3. For each topic, the plan lists the number of weeks, expected objective and subjective minimum practice ratios, supporting materials, and intended use of information and communication technology.
This lesson plan outlines instruction on arithmetic and geometric progressions over 3 weeks. It includes learning objectives, teaching activities, learning outcomes, and points to note for each week. Week 1 focuses on understanding and using arithmetic progressions through examples, formulas, and problem solving. Learners will be able to identify characteristics of arithmetic progressions, determine specific terms, the number of terms, and sums of terms using formulas. Week 2 covers geometric progressions similarly through examples, formulas, and problem solving. Week 3 extends geometric progressions to finding the sum to infinity.
1) The document outlines a teaching plan for quadratic equations and functions over several weeks. It includes learning objectives, outcomes, suggested activities and points to note for teachers.
2) Key concepts covered are quadratic equations, functions, graphs, maximum/minimum values, and solving simultaneous equations. Suggested activities include using graphing calculators, computer software and real-world examples.
3) The document provides detailed guidance for teachers on topics, skills, strategies and values to focus on for each area of learning.
The document provides a yearly plan for teaching Additional Mathematics Form 4. It is divided into 4 topics over 15 weeks. Topic A1 covers functions over 3 weeks and includes understanding relations, functions, composite functions, and inverse functions. Topic A2 covers quadratic equations over 3 weeks and includes solving quadratic equations through factorisation, completing the square, and using the quadratic formula. Topic A3 covers quadratic functions over 3 weeks and includes graphing quadratic functions and understanding their properties. Topic A4 covers simultaneous equations over 2 weeks using substitution and solving real-life problems. Topic G1 covers coordinate geometry over 5 weeks, including finding distances between points, midpoints of line segments, areas of polygons, and equations of straight lines. Each week outlines
A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a is not equal to zero. The graph of a quadratic function is a parabola, which is symmetric around its axis of symmetry. Any quadratic function can be written in standard form by completing the square, where the standard form is f(x) = a(x-h)^2 + k. The vertex of the parabola is the point (h, k) and finding the standard form makes it easy to identify the vertex.
This document discusses quadratic equations, including:
1) Recognizing quadratic equations in the form ax^2 + bx + c and their characteristics.
2) Methods to solve quadratic equations including factoring, completing the square, and the quadratic formula.
3) Forming a quadratic equation given its two roots.
4) The relationship between the discriminant (Δ) and the nature of the roots, whether they are real/distinct, real/equal, or imaginary.
(1) The functions f and g are given as:
f(x) = x + 1
fg(x) = x^2 + 2x - 4
(2) The functions f and g are given as:
f(x) = x^2 - 5
gf(x) = 2x^2 - 9
(3) The question asks to find the function g such that the composite functions equal the given functions.