Curriculum Guide of K to 12 Elementary – Math Gr.1-10
Objective
Curriculum Information
Education Type
K to 12
Grade Level
Grade 10
Learning Area
Mathematics
Content/Topic
Patterns and algebra
Geometry
Statistics and Probability
Curriculum Guide
Intended Users
Educators
Competencies
Generates patterns
Illustrates an arithmetic sequence
Determines arithmetic means and nth term of an arithmetic sequence
Finds the sum of the terms of a given arithmetic sequence
Illustrates a geometric sequence
Differentiates a geometric sequence from an arithmetic sequence
Differentiates a finite geometric sequence from an infinite geometric sequence
Determines geometric means and nth term of a geometric sequence
Finds the sum of the terms of a given finite or infinite geometric sequence
Illustrates other types of sequences eg harmonic fibonacci
Solves problems involving sequences
Performs division of polynomials using long division and synthetic division
Proves the remainder theorem and the factor theorem
Factors polynomials
Illustrates polynomial equations
Proves rational root theorem
Solves polynomial equations
Solves problems involving polynomials and polynomial equations
Illustrates polynomial functions
Graphs polynomial functions
Solves problems involving polynomial functions
Derives inductively the relations among chords arcs central angles and inscribed angles
Proves theorems related to chords arcs central angles and inscribed angles
Illustrates secants tangents segments and sectors of a circle
Proves theorems on secants tangents and segments
Solves problems on circles
Derives the distance formula
Applies the distance formula to prove some geometric properties
Illustrates the centerradius form of the equation of a circle
Determines the center and radius of a circle given its equation and vice versa
Graphs a circle and other geometric figures on the coordinate plane
Solves problems involving geometricfigures on the coordinate plane
Illustrates the permutation of objects
Derives the formula for finding the number of permutations of n objects taken r at a time
Solves problems involvingpermutations
Illustrates the combination of objects
Differentiates permutation fromcombination of n objects taken r at a time
Derives the formula for finding the number of combinations of n objects taken r at a time
Illustrates events and union and intersection of events
Illustrates the probability of a union of two events
Illustrates mutually exclusive events
Solves problems involving probability
Illustrates the following measures of position quartiles deciles and percentiles
Calculates a specified measure of position eg 90th percentile of a set of data
Interprets measures of position
Solves problems involving measures of position
Formulates statistical miniresearch
Uses appropriate measures of position and other statistical methods in analyzing and interpreting research data
Finds the probability of (a u b)
