Ethiopian Grade 12 Mathematics Teacher Guide PDF

Ethiopian Grade 12 Mathematics Teacher Guide PDF: This is a free guideline book for all grade 12 Maths teachers in Ethiopia. It belongs to English Medium Schools only. The Ethiopian Grade 12 Mathematics Teacher Guide is available in PDF file bases on the new Ethiopian educational framework.

At the Grade 12 level, students should be able to: work activities with exactness and neatness with respect to the above general outcomes, the following grade-specific outcomes are expected at the end of learning Grade 12 mathematics.

Ethiopian Grade 12 Mathematics Teacher Guide

Mathematics study at Grade 12 level is mainly aimed at exposing students to higher mathematical knowledge and competencies necessary to enable them to peruse with their higher education. The first part, which is common to both natural science and social science streams students is an introduction to calculus where the basic concepts of differential and integral calculus are introduced with intuitive explanations and examples followed by formal definitions.

Ethiopian Grade 12 Mathematics Teacher Guide PDF

Units

Number of Periods 

Unit 1: Sequences and Series

  • 1.1 Sequences
  • 1.2 Arithmetic sequences and geometric sequences
  • 1.3 The sigma notation and partial sums
  • 1.4 Infinities series
  • 1.5 Applications of arithmetic progressions and geometric progressions
Subunits

  • 3
  • 3
  • 6
  • 4
  • 2
Total

18

Unit 2: Introduction to Limits and Continuity

  • 2.1 Limits of sequences of numbers
  • 2.2 Limits of functions
  • 2.3 Continuity of a function
  • 2.4 Exercises on applications of limits
  • 12
  • 6
  • 5
  • 3
  • 2
28
  • 3.1 Introduction to Derivatives
      understanding rates of change
     Graphical definition of the derivative
     Formal definition (Differentiability at a point)
     Differentiability over an interval
  • 3.2 Derivatives of different functions.
     Differentiation of power, simple trigonometric, exponential
    and logarithmic functions.
  • 3.3 Derivatives of combinations and compositions of functions
  • 3.4 Miscellaneous exercise
  • 10

 

  • 3

 

  • 12

 

  • 2
27
Unit 4 Applications of Differential Calculus

  • 4.1 Extreme values of functions
  • 4.2 Minimization and maximization problems
  • 4.3 Rate of change
  • 13
  • 6
  • 6
25
Unit 5: Introduction to Integral Calculus

  • 5.1 Integration as inverse process of differentiation
     Integral of:
    – Constant
    – Power
    – Trigonometric
    – Exponential and logarithmic functions
  • 5.2 Techniques of integration
     Elementary substitution
     Partial fractions
     Integration by parts
  • 5.3 Definite integrals, area and fundamental theorem of calculus
  • 7

 

 

  • 9

 

  • 8
30
Unit 6: Three Dimensional Geometry and Vectors in Space (For Natural Science Students)

  • 6.1 Coordinate axes and coordinate planes in space
  • 6.2 Coordinates of a point in space
  • 6.3 Distance between two points in space
  • 6.4 Mid-point of a line segment in space
  • 6.5 Equation of sphere
  • 6.6 Vectors in space
  • 2
  • 2
  • 2
  • 1
  • 2
  • 8
17
Unit 7: Mathematical Proofs (For Natural Science Students)

  • 7.1 Revision on logic
  • 7.2 Different types of proofs
  • 7.3 Principle and application of mathematical induction
  • 5
  • 4
  • 4
  • 2
15
Unit 8 Further on Statistics (For Social Science Students)

  • 8.1 Sampling techniques
  • 8.2 Representation of data
  • 8.3 Construction of graphs and interpretation
  • 8.4 Measures of central tendency and variation of a set of data,
    including grouped data. (Mean, Median, Mode, Range, Inter
    quartile rang and Standard deviation from the data itself or
    from given totals)
  • 8.5 Analysis of frequency distributions with equal means but
    different variances (coefficients of variation).
  • 8.6 Use of cumulative frequency graph to estimate
  • 3
  • 2
  • 6
  • 5

 

  • 2

 

  • 4
22
Unit 9 Mathematical Applications for Business and consumers (For Social Science Students) 

  • 9.1 Applications to purchasing
  • 9.2 Percent increase and percent decrease
  • 9.3 Real estate expenses
  • 9.4 Wages
  • 3
  • 4
  • 4
  • 4
15

Download Grade 12 Mathematics Teacher Guide PDF

Units 1, 2, 3, 4, 5, 6 and 7 of Grades 11 and units 1, 2, 3, 4 and 5 of Grades 12 are common to both natural science and social science stream students, While units 7 and 8 of Grades 11 and units 6 and 7 of Grades 12 are to be offered only to natural science stream students and units 9 and 10 of Grades 11 and units 8 and 9 of Grades 12 are only for social science stream students.

CountryEthiopia
PublisherCurriculum Framework Development Department of the MOE
GradeGrade 12 
SubjectMaths Teacher Guide
TypeTeacher’s Guide
PurposeTeaching & Learning
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