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PED236

Elementary Mechanics

  • Education
  • 200 level
  • 2 credit units
  • 246 pages
  • 15 units

This course is designed for students with a weak foundation in mathematics, aiming to refresh and strengthen their knowledge to the ordinary level (O/L) standard. It covers basic arithmetic operations in integers, fractions, number bases, and algebraic processes like factorization and linear equations. The course also introduces geometrical concepts, including triangles, circles, and the calculation of areas and volumes of geometrical shapes. It includes practical strategies for working through the course.

About this course

Difficulty
Beginner
Study hours
150 hours
Maths
Basic
Content
Theoretical, problem solving
Practical work
No
How it is assessed
  • Assignments
  • Tutor Marked Assignments
  • Final Examination

One paragraph, so you can see how it reads

PED236 · UNIT 1: Basic Arithmetic Operation in Integers

1.0 Introduction This unit is designed to give you an insight into positive and negative number system. This can be conceived as steps of equal sizes along a line as shown below, with positive numbers to the right of zero and negative numbers to the left of zero.

What you should be able to do

  1. Perform basic arithmetic operations on integers and fractions.
  2. Solve linear and quadratic equations.
  3. Apply geometrical theorems to solve problems related to triangles and circles.
  4. Calculate areas and volumes of various geometrical shapes.
  5. Convert numbers between different number bases.
  6. Apply approximation techniques to estimate solutions.

What it prepares you for

Careers
  • Primary School Teacher
  • Secondary School Teacher
  • Adult Education Instructor
Where it is applied
  • Education
  • Tutoring
  • Curriculum Development

Where it gets hard

The units students slow down on, and what makes each one heavy.

  • Module 2: Algebraic Processes

    Unit 2: Quadratic and Simultaneous Equations

    Understanding the application of factorization techniques to solve complex quadratic equations requires strong algebraic manipulation skills and logical reasoning.

  • Module 3: Geometrical Solids and Shapes

    Unit 2: Circle

    Applying circle theorems to solve complex geometrical problems requires strong visualization skills and logical deduction.

A suggested way through it

Suggested

13 weeks, about 32 hours in total. Yours will differ.

  1. Week 1Module 1: Number and Numeration
    • Unit 1: Basic Arithmetic Operations in Integers · 2 hours

      Understand the meaning of integers and their representation on a number line.. Practice addition and subtraction of integers using the number line.. Identify real-life examples of positive and negative numbers..

  2. Week 2Module 1: Number and Numeration
    • Unit 2: Indices, Logarithms and Surds · 3 hours

      Express numbers as products of powers of their primes.. Apply the laws of indices to simplify expressions involving multiplication and division.. Solve simple equations involving indices..

  3. Week 3Module 1: Number and Numeration
    • Unit 3: Meaning and types of Fractions · 3 hours

      Define fractions and identify different types of fractions.. Find equivalent fractions and compare their magnitudes.. Convert between improper fractions and mixed numbers..

  4. Week 4Module 1: Number and Numeration
    • Unit 4: Number Bases · 2 hours

      Understand number bases and their representation.. Convert numbers from base ten to other bases (e.g., base 2, base 5).. Perform basic arithmetic operations in different number bases..

  5. Week 5Module 1: Number and Numeration
    • Unit 5: Approximation, Rate, Proportion and Ratio · 2 hours

      Round off numbers to specified decimal places and significant figures.. Solve problems involving rates, proportions, and ratios.. Apply approximation techniques to estimate solutions..

  6. Week 6Module 2: Algebraic Processes
    • Unit 1: Factorization and Linear Equations · 2 hours

      Expand algebraic expressions by removing brackets.. Factorize algebraic expressions by taking out common factors.. Simplify algebraic expressions involving fractions..

  7. Week 7Module 2: Algebraic Processes
    • Unit 2: Quadratic and Simultaneous Equations · 3 hours

      Factorize quadratic expressions using different methods.. Solve quadratic equations using factorization.. Solve simultaneous linear equations using elimination and substitution methods..

  8. Week 8Module 2: Algebraic Processes
    • Unit 3: Algebraic Graphs · 3 hours

      Plot graphs of linear equations and interpret their slopes and intercepts.. Plot graphs of quadratic equations and identify their roots.. Solve simultaneous equations graphically..

  9. Week 9Module 2: Algebraic Processes
    • Unit 4: Change of Subject of Formulae · 2 hours

      Change the subject of formulae.. Substitute values into formulae to find the numerical value of a named variable.. Practice rearranging formulae to solve for different variables..

  10. Week 10Module 2: Algebraic Processes
    • Unit 5: Linear Inequalities · 2 hours

      Solve inequalities in one variable.. Represent solutions of inequalities on a number line.. Solve combined inequalities and represent their solutions graphically..

  11. Week 11Module 3: Geometrical Solids and Shapes
    • Unit 1: Triangles · 2 hours

      Identify and name different types of triangles.. Apply theorems related to triangles to solve problems.. Understand conditions for congruency and similarity of triangles..

  12. Week 12Module 3: Geometrical Solids and Shapes
    • Unit 2: Circle · 3 hours

      Define the parts of a circle and their properties.. Apply theorems related to angles in a circle.. Solve problems involving tangents and cyclic quadrilaterals..

  13. Week 13Module 3: Geometrical Solids and Shapes
    • Unit 3: Area and Volume of Various Geometrical Solids and Shapes · 3 hours

      Calculate the surface area and volume of cubes, cuboids, cylinders, and cones.. Apply the formulae for area and volume to solve practical problems.. Differentiate between surface area and volume..

Preparing for the exam

What to do
  • Review basic arithmetic operations (addition, subtraction, multiplication, division) with integers and fractions from Unit 1.
  • Practice solving linear equations and inequalities from Module 2, Units 1 and 5.
  • Memorize key geometrical theorems and formulae from Module 3, Units 1 and 2.
  • Work through all examples and self-assessment exercises in the study units.
  • Create flashcards for important definitions and formulae.
  • Allocate sufficient time for practice problems, especially in areas you find challenging.
  • Form study groups with fellow students to discuss concepts and solve problems together.
  • Review all Tutor-Marked Assignments (TMAs) and understand the solutions.
  • Focus on understanding the underlying concepts rather than rote memorization.
  • Practice time management during mock exams to improve speed and accuracy.

Questions students ask about this course

What is PED236 about?

This course is designed for students with a weak foundation in mathematics, aiming to refresh and strengthen their knowledge to the ordinary level (O/L) standard. It covers basic arithmetic operations in integers, fractions, number bases, and algebraic processes like factorization and linear equations. The course also introduces geometrical concepts, including triangles, circles, and the calculation of areas and volumes of geometrical shapes. It includes practical strategies for working through the course.

How many units does PED236 have?

PED236, Elementary Mechanics, has 15 units across 4 modules, over 246 pages of course material. You can read it one unit at a time.

How many credit units is PED236?

PED236 carries 2 credit units, at 200 level in Education.

Is PED236 hard?

PED236 is rated beginner level, with basic mathematical content. It is mostly theoretical and problem solving work.

How long does PED236 take to study?

About 150 hours of study, spread across its 15 units.

How is PED236 assessed?

PED236 is assessed by Assignments, Tutor Marked Assignments and Final Examination.

What can I do with PED236?

Primary School Teacher, Secondary School Teacher and Adult Education Instructor.

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