# Table of Specifications for Licensure Examination for Teachers (LET)

## MATHEMATICS

Description: This Licensure of test consists of 200 items covering topics from these 10 subjects areas:

1. Arithmetic and Number Theory
3. Plane Geometry
4. Circular and Trigonometric Functions
5. Probability and Statistics
6. Analytic Geometry
8. Calculus (Basic)

A. OBJECTIVES EXPECTATIONS:

The Licensure Examinee should be able to:

1. Show a working knowledge of basic terms and concepts in arithmetic, algebra, geometry, trigonometry, analytics, calculus, probability and statistics
2. Solve, evaluate, and manipulate symbolic and numerical problems in the above mathematics areas by applying fundamental rules, principles and process.
3. Solve verbal problems in each of the above mathematical areas
4. Interpret graphic, symbolic and word problems
5. Show ability to apply theories and principles of teaching and learning to mathematics teaching

B. BASIC CONTENT OUTLINE FOR MATHEMATICS MAJOR

1. Arithmetic and Number Theory (0% – 40 items)

1.1 Operation on signed numbers
1.2 Least Common Multiples, Greatest Common Factor
1.3 Divisibility Rules
1.4 Ratio an Proportion
1.5 Percentage, Rate and Base
1.6 Measurement and units of measure

2. Basic and Advanced Algebra (25%- 50 items)

2.1 Algebraic operations and process
2.2 Laws of exponents for multiplication and division of algebraic expressions
2.3 Operations with monomials and polynomials
2.4 Relations, functions and their zeros (linear and quadratic)
2.4.1 Definition of domain and range
2.4.2 Linear equations
2.4.4 Systems of equations
2.5 Special products and factors
2.6 Operations on rational expressions
2.7.1 Evaluating powers
2.7.2 Negative and Fractional exponents
2.7.3 Imaginary and complex numbers
2.8 Exponential and logarithmic functions
2.9 Inequalities: linear, quadratic and systems
2.10 Arithmetic and geometric sequences and series
2.11 Variation
2.11.1 Direct variation
2.11.2 Inverse variation
2.11.3 Joint variation
2.12 Polynomial functions of higher degree
2.12.1 Synthetic division
2.12.2 The Remainder Theorem, Rational Root Theorem and the Factor Theorem

3. Plane Geometry – (15%-30)

3.1 Coordinate geometry
3.1.1 The length of a line
3.1.2 The midpoint of a line
3.1.3 Graph of a linear equation
3.1.4 The equation of a straight line
3.1.5 Parallel and perpendicular lines
3.2 Angles and straight lines
3.2.1 Types and measures of angles (complementary, supplementary, linear pair)
3.2.2 Dividing a vertical line into a number of equal parts
3.2.3 Construction of perpendicular & parallel lines and their properties
3.2.4 Angle bisection
3.3 Triangles
3.3.1 Types of triangles, their properties
3.3.2 Pythagora’s Theorem
3.4.1 Properties of rectangles, squares, rhombi, trapezoids
3.4.2 Sum of the interior angles of a polygon
3.4.3 Sum of exterior angles of a convex polygon
3.4.4 Symmetry of regular polygons
3.5 The Circle
3.5.1 Circles and circle concepts
3.5.2 Central angles and arcs
3.5.3 Chords, tangents and secants
3.5.4 Sectors and segments
3.5.5 Measures of angles formed in, on and outside a circle
3.6 Triangle Congruence
3.6.1 Corresponding parts of triangle
3.6.2 SAS, SSS, SAA, and ASA Theorems
3.6.3 Proving triangles congruent
3.7 Similarity and Proportionality
3.7.1 Properties of proportions
3.7.2 Proportional segments
3.7.3 Basic proportionality & related theorems
3.7.4 Special angles/triangles

4. Circular and Trigonometric Functions (10%-20 items)

4.1 Circular functions
4.2 Trigonometric ratios of reference angles
4.3 Graphs of circular functions
4.5 The eight basic trigonometric identities
4.6 Proving identities
4.7 The Pythagorean identities
4.8 Sine and cosine laws
4.9 Solution of triangles

5. Probability and Statistics (10%- 20 items)

5.1 Counting Techniques
5.1.1 Theoretical and Experimental Probability
5.2 Probability of Events
5.2.1 Permutation
5.2.2 Independent & dependent events
5.2.3 Mutually exclusive and non-mutually exclusive events
5.4 Computing measures of average mean (mean, median, mode)
5.5 Computing measures of variability
5.5.1 Range and Interquartile Range
5.5.2 Average deviation
5.5.3 Standard deviation
5.6 Correlation and Regression
5.6.1 Pearson r and Spearman rho
5.6.2 The regression line
5.6.3 Linear regression
5.7 Statistical Inference
5.7.1 Normal curve
5.7.2 Null Hypothesis
5.7.3 Levels of Significance
5.8 Common Test of Significance (t, F, Z, x2)

6. Analytic Geometry ( 10% – 20 items)

6.1 Slope of a line
6.2 Equations of lines: tangents & normal
6.2.1 Point slope form
6.2.2 Slope intercept form
6.2.3 Parallel and perpendicular lines
6.2.4 Midpoint of a line
6.2.5 Distance formula
6.3 Equations and graphs

7. Business Mathematics (5% – 10 items)

7.1 Discounts: commission
7.2 Simple and compound interest

8. Calculus (Basic) (5%-10 items)

Mark Anthony Llego

Mark Anthony Llego, hailing from the Philippines, has made a profound impact on the teaching profession by enabling thousands of teachers nationwide to access crucial information and engage in meaningful exchanges of ideas. His contributions have significantly enhanced their instructional and supervisory capabilities, elevating the quality of education in the Philippines. Beyond his domestic influence, Mark's insightful articles on teaching have garnered international recognition, being featured on highly respected educational websites in the United States. As an agent of change, he continues to empower teachers, both locally and internationally, to excel in their roles and make a lasting difference in the lives of their students, serving as a shining example of the transformative power of knowledge-sharing and collaboration within the teaching community.

### 11 thoughts on “Table of Specifications for Licensure Examination for Teachers (LET)”

1. PINAKA LATEST BA ITO?

2. Ang TOS po ba na nasa taas ay for September 2017 LET?

3. kompleto po ba itong coverage for biology? parang kakaunti? slamat

4. No further outline for Biological Sciences?

5. Hi may I ask. Yung Course Outline ba for Bio major ay complete?

6. is this the final TOS?

7. Thank you, I hope this is the Final TOS. and no more changes because this is what I’m biting on.

8. pls. put the real answere oe the key to correction to know the correct answere