# G10 Math

#### Description

### Content Standards

#### Patterns and Algebra

key concepts of sequences, polynomials and polynomial equations.

key concepts of polynomial function.

#### Learning Competencies

determines arithmetic means and nth term of an arithmetic sequence;

finds the sum of the terms of a given finite or infinite geometric sequence; solves problems involving sequences; performs division of polynomials using long division and synthetic division;

factors polynomials; solves problems involving polynomials and polynomial equations; graphs polynomial functions; solves problems involving polynomial functions.

### Content Standards

#### Geometry

key concepts of circles and coordinate geometry.

secants, tangents, segments, and sectors of a circle.

#### Learning Competencies

derives inductively the relations among chords, arcs, central angles, and inscribed angles;

solve problems involving geometric figures on the rectangular coordinate plane with perseverance and accuracy;

### Content Standards

#### Statistics and Probability

key concepts of measures of position i.e., quartiles, deciles and percentiles

#### Learning Competencies

calculates a specified measure of position (e.g. 90th percentile) of a set of data; interprets measures of position; solves problems involving measures of position;