M.1 Basic Mathematic 1 Course Description

Subject Teacher: Casey McMichael

Matayom : 1 Academic Year: 2012 Semester: 1

Subject Code: MATH 21101 Subject: M1 Basic Mathematics 1

3 Periods/Week/Semester Credit: 1.5

Course Description:

The investigation, discovery, understanding and application of number properties, integers, exponents, and basic geometry and constructions.

Learning Outcome:

1. To understand the mathematical principles of each topic and to be able to give a reasonable opinion.

2. To develop strong skills in calculating and apply them to problem solving. 3. To create a strong foundation for higher learning in mathematics.

Content Topics:

1. Number Properties (10 periods) 1.1 Prime and composite numbers 1.2 Factors and multiples 1.3 Prime factorization 1.4 Highest/lowest common factors and applications 1.5 Squares, square roots, cubes and cube roots 2. Integers (10 periods) 2.1 Positive integers and zero 2.2 Number line 2.3 Absolute value 2.4 Operations with integers – addition, subtraction, multiplication and division 2.5 Rules for operating on integers 3. Exponents (12 periods) 3.1 Meaning and vocabulary 3.2 Scientific notation 3.3 Exponent rules 3.4 Applications

4. Basic geometry (16 periods) 4.1 Point, line, line segment, ray and angles 4.2 Basic constructions 4.3 Bisecting lines 4.4 Construct basic angles 4.5 Construct triangles, parallelograms, squares, rectangles, rhombus, kites, trapezoids

Teaching & Learning Activities:

1. Lecture and demonstrate methods with student participation wherever possible. 2. Use work sheets, multi-media and PowerPoint presentations to optimize learning. 3. Interactive computer tutorials both at home and at school – Moodle. 4. Homework aimed at enhancing skills in comprehension and problem solving.

Evaluation & Assessment:

During Semester: Final Exam = 80 : 20

First quiz 15 points (Tuesday July 3rd, 2012)

Second quiz 15 points (Tuesday August 28th, 2012)

Homework 20 points

Characteristics 10 points

Midterm exam 20 points (July 23rd – 27th, 2012)

Final exam 20 points (Tuesday September 18th, 2012)

Student’s expected characteristics for Mathematics 10 points

(Attitude/ organized / systematic working/ responsibility/ confidence and effort)

References:

Shinglee Mathematics 1, 6th Ed.

M.1 Additional Mathematic 1 Course Description

Subject Teacher: Casey McMichael

Matayom : 1 Academic Year: 2012 Semester: 1

Subject Code: MATH 21201 Subject: M1 Additional Mathmatics1

3 Period/ Week/ Semester Credit: 1.5

Course Description:

The investigation, discovery, understanding and application of numbers properties, mathematical applications and constructions.

Learning Outcome:

1. To understand the mathematical principles of each topic and to be able to give a reasonable opinion.

2. To develop strong skills in calculating and apply them to problem solving. 3. To create a strong foundation for higher learning in mathematics.

Content Topics:

Unit 1 – Numbers and Numerals (7 periods) a. Roman numerals b. Conversions c. Addition and subtraction d. Binary numbers e. Conversions f. Addition, subtraction and multiplication g. Other base systems

Unit 2 – Mathematical Applications (16 periods) a. Geometric applications b. Counting numbers c. Percentages d. Challenge problems

Unit 3 – Applications of Integers and Powers (9 periods) a. Arithmetic concepts b. Word problems

Unit 4 – Constructions (16 periods) a. Line segments b. Angles

c. Construction of angles d. Medians and centroids e. Construction of triangles and parallelograms

Teaching & Learning Activities:

1. Lecture and demonstrate methods with student participation wherever possible. 2. Use work sheets, multi-media and PowerPoint presentations to optimize learning. 3. Interactive computer tutorials both at home and at school – Moodle. 4. Homework aimed at enhancing skills in comprehension and problem solving.

Evaluation & Assessment:

During Semester: Final Exam = 80 : 20

First quiz 15 points (Monday July 2nd, 2012)

Second quiz 15 points (Monday August 27th, 2012)

Homework 20 points

Characteristics 10 points

Midterm exam 20 points (Monday July 23rd, 2012)

Final exam 20 points (Monday September 17th, 2012)

Student’s expected characteristics for Mathematics 10 points

(Attitude/ organized / systematic working/ responsibility/ confidence and effort)

References:

Shinglee Mathematics 1, 6th Ed.

Holt Algebra 1

Internet resources

M.2 Basic Mathematics 3 Course Description

Subject Teacher: Ajarn Maria Elisabeth Alberta Schoffelen

Matayom : 2 Academic Year: 2012 Semester: 1

Subject Code: MATH 22101 Subject: Basic Mathematics 3

3 Periods/ Week/ Semester Credit: 1.5

Course Description:

In the first semester, in the first unit students will study the concepts of ratio, rates, proportion and percentages. The focus will be on basic skills as well as problem solving. In the remaining units we will be studying aspects of Geometry including Transformations, Parallel lines, Triangle sum theorem and congruence.

Learning Outcome:

1. To learn and apply the techniques of ratio, rate and proportion to real life problems 2. To learn and apply the techniques of percentages to real life problems 3. To apply units of measurement and to convert between different units 4. To read/interpret pie charts and to understand how to draw one (both manually as using

software like Excel) 5. To describe and draw transformations in 2 dimensions 6. To learn the geometrical properties of triangles (including congruence).

Content Topics:

Unit 1 Ratio & Percentage 1.1 Ratio-Notation expressing in its simplest form, dividing a quantity in a given ratio,

problem solving 1.2 Rates-Notation, unit rates, best buy calculations and problem solving 1.3 Proportion and problem solving

1.4 Percentage and Basic percentage calculations, applications of percentages, profit and loss, taxation, commission, simple and compound interest

1.5 Probability Unit 2 Measure 2.1 Height 2.2 Length 2.3 Area 2.4 Volume and weight 2.5 Time Unit 3 Pie-Chart 3.1 Reading pie-chart 3.2 Writing pie-chart Unit 4 Geometric 4.1 Transformations Translation (vector notation), reflection, rotation and enlargement of

2 Dimensional plane figures Unit 5 Congruence 5.1 Geometric congruence 5.2 Triangle Congruence 5.3 Side-Angle-Side Triangle 5.4 Angle-Side-Angle Triangle 5.5 Side-Side-Side Triangle 5.6 Application

Teaching & Learning Activities:

1. Lecture and demonstration methods with student participation wherever possible. 2. Homework’s aimed at enhancing skills in comprehension and problem solving.

Evaluation & Assessment:

During Semester: Final Exam = 75 : 25

Quizzes 1st quiz (June 2012) Unit 1 & 2 10 marks 2nd quiz (August 2012) Unit 3, 4 and 5 10 marks Activities Reading record, worksheets, class room activities characteristics 30 marks

Midterm (July, 2012) 25 marks Final (September 2012) 25 marks

References:

New Syllabus Mathematics Book 1, 2 &3. Additional handouts on transformations Worksheets drawn from a variety of texts

M.2 Additional Mathematic 3 Course Description

Subject Teacher: Ajarn Casey McMichael (352) / Ajarn Maria Elisabeth Alberta Schoffelen (351)

Matayom : 2 Academic Year: 2012 Semester: 1

Subject Code: MATH 22201 Subject: Additional Mathematics 3

3 Periods/ Week/ Semester Credit: 1.5

Course Description:

This course is about polynomials and working with exponents. Furthermore the application of rate, ratio and percentage and the application of transformation. Solving problems and giving reasons along the way is more important than a correct answer which is unsupported or poorly explained. In this way we hope to understand the subject content, learn mathematical methodology, and build strong calculation skills.

Learning Outcome:

1. To understand the mathematical principles of each topic and to be able to give a reasonable opinion.

2. To develop strong skills in calculating and apply them to problem solving 3. To create a strong foundation for higher learning in mathematics 4. Use the properties of exponents properly in operations and applying the concept to real life

problems 5. Be able to use scientific notation properly 6. Perform operations with polynomials (adding, subtracting, dividing and multiplying) 7. Apply the principles of rate, ratio and percentage on word problems 8. Perform applications with transformations

Content Topics:

Unit 1 Exponents and scientific notation

Unit 2 Polynomials (addition, subtraction, multiplication, division and evaluation) Unit 3 Application of ratio and percentage (ratio, percentage, and its application) Unit 4 Application of transformation of geometric (Translation (vector notation), reflection,

rotation)

Teaching & Learning Activities:

1. Lecture and demonstration methods with student participation wherever possible. 2. Homework’s aimed at enhancing skills in comprehension and problem solving

Evaluation & Assessment:

During Semester: Final Exam = 75 : 25

100 points are divided into: Quizzes 1st quiz (June 2012) 10 marks Unit 1 and 3 2nd quiz (August 2012) 10 marks Unit 2 Activities Reading record/Assignments/class work/ Expected characteristics 30 marks Midterm (July 2012) 25 marks Final exam (Sep 2012) 25 marks References:

New Syllabus Mathematics Book 2 &3. Additional handouts on transformations and polynomials Worksheets drawn from a variety of texts

M.3 Basic Mathematics 5 Course Description

Subject Teacher: Andrew Stanford

Matayom : 3 Academic Year: 2012 Semester: 1

Subject Code: MATH23101 Subject: Basic Mathematics 5

3 Periods/ Week/ Semester Credit: 1.5

Course Description:

Exploring properties and relationships, performing calculations, and application of various problem solving methods with regards to graphing linear equations, solving systems of linear equations, similar polygons, and three-dimensional solids.

Learning Outcome:

1 To gain an understanding of how mathematics is an integral part of all aspects of life.

2 To further develop calculating skills and problem solving strategies.

3 To build a strong mathematical background which can be utilized in future mathematics and science courses.

4 To encourage the application of mathematical concepts and a logical thought process to situations encountered in daily life.

Content Topics:

Unit 1: Graphs of Linear Equations

Understanding axes, coordinates, scales, and intercepts of graphs. Finding the slope of a line. Graphing equations in the slope-intercept form: y mx b

Graphing equations in the point-slope form: 1 1y y m x x Graphing equations in the general form: Ax By C Writing a linear equation from a given graph. Writing the equations of parallel and perpendicular lines.

Unit 2: Systems of Linear Equations

Finding the solution to a system of equations by graphing. Graphing systems of equations that have 0 solutions (parallel lines), 1 solution (intersecting

lines), and infinite solutions (same lines). Finding the solution to a system of linear equations with two variables by using

substitution. Finding the solution to a system of linear equations with two variables by using elimination. Finding the solution to a system of linear equations with three variables by using

substitution and elimination.

Unit 3: Similarity

Exploring properties of similar polygons. Understanding the difference between similarity and congruence. Properties of similar triangles. Similarity tests for triangles. Enlarging polygons using properties of similarity.

Unit 4: Volume and Surface Area of 3-Dimensional Solids

Investigating properties of 3-dimensional solids, including faces, edges, and vertices, by looking at their 2-dimensional nets.

Investigating properties of prisms, pyramids, cylinders, cones, and spheres. Calculating the volume of prisms, pyramids, cylinders, cones, and spheres. Calculating the volume of composite solids. Calculating the surface area of prisms, pyramids, cylinders, cones, and spheres. Calculate the surface area of composite solids.

Teaching & Learning Activities:

1. Lecture and demonstrations of concepts, definitions, properties, and problem solving methods.

2. In class worksheets and group work with an emphasis on student participation.

3. Interactive on-line lessons and virtual manipulatives.

4. Assignments and projects for practicing and applying the concepts and skills learned during class.

Evaluation & Assessment:

During Semester: Final Exam = 80: 20

First Quiz (June 27 – July 1) 10 points

Midterm (July 25 – July 29) 25 points

Second Quiz (August 22 – August 26) 10 points

Final Exam (September 19 – September 23) 25 points

Integrated Project 20 points

Activities (class work, assignments, etc.) 10 points

Total 100 points

M.3 Additional Mathematics 5 Course Description

Subject Teacher: Andrew Stanford

Matayom: 3 Academic year: 2012 Semester: 1

Subject Code: MATH 23201 Subject: Additional Mathematics 5

3 Periods / Week /Semester Credit : 1.5

Course Description

Exploring properties and relationships, performing calculations, and application of various problem solving methods with regards to radical expressions, polynomial expressions, and quadratic equations.

Learning Outcome

1. To gain an understanding of how mathematics is an integral part of all aspects of life.

2. To further develop calculating skills and problem solving strategies.

3. To build a strong mathematical background which can be utilized in future mathematics and science courses.

4. To encourage the application of mathematical concepts and a logical thought process to situations encountered in daily life.

Content Topics

Unit 1: Radicals

Properties of radicals (multiplication and division). Relationship between fractional indices and radicals. Using conjugate pairs to rationalize denominators. Simplifying and evaluating expressions with radicals.

Unit 2: Factoring Polynomials

Factoring polynomials by using the distributive property Factoring polynomials in the form x² + bx + c Factoring polynomials in the form ax² + bx + c Factoring polynomials that are perfect squares Factoring polynomials that are the difference of squares Factoring polynomials by completing the square. Factoring polynomials that are the sum or difference of cubes Factoring polynomials by grouping

Unit 3: Solving Quadratic Equations

Solving quadratic equations by factoring Solving quadratic equations by completing the square Solving quadratic equations with the quadratic formula Solving word problems regarding quadratic equations

Unit 4: Graphing Quadratic Equations

Graphing quadratic equations in the form 2y ax when 0a Graphing quadratic equations in the form 2y ax k when 0a Graphing quadratic equations in the form 2( )y a x h k when 0a Graphing quadratic equations in the form 2y ax bx c when 0a

Teaching and Learning Activities

1. Lecture and demonstrations of concepts, definitions, properties, and problem solving methods.

2. In class worksheets and group work with an emphasis on student participation.

3. Interactive on-line lessons and virtual manipulatives.

4. Assignments and projects for practicing and applying the concepts and skills learned during class.

Teaching and Learning Activities

First Quiz (July 1) 10 points

Midterm (July 29) 25 points

Second Quiz (August 22 – August 26) 10 points

Final (September 19 – September 23) 25 points

Integrated Project 20 points

Activities (class work, assignments, etc.) 10 points

Total 100 points