High School
Math Curriculum

ALGEBRA

1) Expressions and Equations
A. Variables and expressions;
I. Writing verbal expression for algebraic expression
II. Writing algebraic expression for verbal expression,
B. Order of operation;
C. Distributive property;
D. Equation;
I. Solving the equation with two variables given a domain.
2) Linear equation:
A. Translate sentence into equation;
B. Solving one-step equation by using mathematical operations;
C. Solving multi - step equation by using mathematical operations;
D. Solving equations with the variables on each side; involving grouping
symbols;
E. Evaluate absolute value expression;
F. Solving absolute value equations.
3) Representing linear equation
A. Graphing linear equation;
B. Solving linear equation by graphing;
C. Slope of line;
D. Writing and graph linear equation in slope - intercept form;
E. Model real world data with equations in slope-intercept form;
F. Creating equations of lines in standard form; point-slope form and
different forms;
G. Parallel and perpendicular lines.
4) Linear inequalities
A. Solving linear inequalities by using different mathematical operation;
B. Solving compound inequalities;
C. Solving and graph absolute value inequalities;
D. Inequalities in two variables.
5) Systems of linear equations and inequalities
A. Solving systems of linear equation by graphing, substitution and
elimination;
B. Applying systems of equation to solve real life problems;
C. Matrix equations - Gaussian elimination.
6) Polynomials
A. Multiplying and dividing polynomials;
B. Mathematical operation on polynomials.
A. Factoring monomials - the Greatest Common Factor;
B. Solving the quadratic equation using the zero product property;
D. Solving the quadratic equation using the square root property and
graph;
8) Rational expression
A. Simplifying rational expression using common factor to reduce;
B. Mathematical operation on rational expression;
C. Determined the Least Common Denominator.
9) Applying fractions
A. Ratios and proportions;
B. Percent - solving real-world problems;
C. Solving equation with fractions;
D. Negative exponents - simplifying the expression and using scientific
notation.
A. Identifying properties of rational number;
B. Rational and irrational square roots;
C. Mathematical operation on square roots;
D. Using the Power Property of Equality to solve the radical equation.
11) Pythagoreanâ€™s theorem
A. Solving real life problems involving right triangle.
12) Relation and function
A. Determined the domain and range of function;
B. Function one-to-one and onto;
C. Graph absolute value and quadratic function;
D. Identifying the roots and sketch higher degree polynomial function;
E. Perform operation with functions;
F. Evaluate the composition of function;
G. Find and graph the inverse of function;
H. The equation of circle.
B. Operation with complex numbers;
C. Sum and product of the roots of quadratic equations - Vieta's formulas;
D. Graph system of equations involving quadratic equations, line, circles
and inequalities.
14) Exponential function
A. Evaluate expression with exponents;
B. Graph exponential function;
C. Solve equation with exponents;
D. Solve exponential equation and inequalities.
15) Logarithmic functions
A. Find the inverse of an exponential function;
B. Apply logarithmic relationship;
C. Solve common logarithmic problems;
D. Solve exponential equations requiring logarithms.

GEOMETRY

1) Fundamental concepts and pattern
A. Using inductive and deductive reasoning to explore and recognize
geometric pattern;
B. Distinguish between inductive and deductive reasoning;
C. Identify and apply basic definitions and postulates of geometry;
D. Statement in if-then form and their converses;
E. Segment construction congruent to a given segment;
F. Use the number line to calculate distance;
G. Midpoint of given statement;
H. Graph point and lines in the coordinate plane.
2) Angles, parallel and perpendicular lines
A. Parts of an angle;
B. Angles classification by their measure;
C. Angle relationship - complementary, vertical, congruent - identifying
and applying;
D. Define and apply perpendicular lines;
E. Construct the bisector of a given angle and an angle congruent to a
given angle;
F. Construct a perpendicular line;
I.  To a line at a given point,
II. From a given point to a line.
G. Construct the perpendicular bisector of given segment;
H. Parallel line and plans - difference;
I. Definition of slope and finding slope of parallel and perpendicular
line to given.
3) Triangle
A. Triangle classification by sides and angles;
B. Applying the Triangle angle sum theorem;
C. Applying the Isosceles triangle theorem and Exterior angle theorem;
D. Identifying and named corresponding part of congruent polygons;
E. Prove triangle congruence by AAS, SAS, ASA, SSS theorems;
F. Median and altitude of triangle;
G. Pythagorean Theorem - applying and its conversions,
H. Distance between two points - distance formula.
4) Polygons
A. Characteristics of quadrilaterals - parallelogram, rectangles, rhombi,
trapezoid;
B. Regular and non-regular polygons;
C. Determined the area and perimeter of quadrilaterals using appropriate
theorems and formula;
D. Measure of interior and exterior angles of regular and non-regular
polygons.
5) Ratios, proportion and similarity
A. Identification of similar polygons and corresponding parts of similar
polygons;
B. Applying proportions to problems using similar figures;
C. Prove triangles similar using AA, SAS, SSS similarity theorems;
D. Relationship between parallel lines and proportional segments in
triangles;
E. Line and rotation symmetry;
F. Determined and construct geometric transformation including
reflection,
rotation, translation and dilatation;
G. Construct transformation of figure on coordinate plane.
6) Circles and inscribed polygons
A. Area and circumference of circle;
B. Applying relationship among inscribed and central angles and arcs of
circles;
C. Calculate arc length and area of sector;
D. Problems with inscribed and circumscribed polygons;
E. Identify and apply properties of tangents and secants to circles.
7) Surface area and Volume
A. Identify and classify solid figure;
B. Volume and surface area of solid figure;
C. Comparison of linear dimensions, perimeter, surface area, and volume
of similar figures;
D. Explore net of 3 dimensional figures.
8) Right triangle and trigonometry
A. Solve problems involving right triangle and special right triangle
(45-45-90; 30-60-90);
B. Finding the missing part of triangle (angle, side) by using
trigonometric functions.

TRIGONOMETRY

1) Trigonometric functions
A. Right angle trigonometry;
B. Relationship between trigonometric ratios in the unit circle;
C. Reciprocal trigonometric function;
D. Exact value chart;
E. Reference angles.
2) More trigonometric functions
A. Conversion between degree and radians;
B. Radian measure to find value of trigonometric functions;
C. Pythagorean identities;
D. Domain and range of trigonometric functions;
E. Inverse trigonometric functions;
F. Cofunctions identity.
3) Graphs of trigonometric functions
A. Graph sine and cosine on the coordinate plane;
B. Amplitude, frequency, period and phrase shift;
C. Graph tangent function;
D. Graph reciprocal trigonometric functions;
E. Graph inverse trigonometric functions.
4) Trigonometric identity
A. Prove trigonometric identity;
B. Sum and difference formula for sine, cosine and tangent;
C. Double angle formulas for sine, cosine and tangent;
D. Half angle formulas for sine, cosine and tangent.
5) Trigonometric equation
A. Solve first degree trigonometric equation;
B. Solve second degree trigonometric equations using factoring and the
C. Solve trigonometric equation using substitution.
6) Trigonometric application
A. Use law of cosines;
B. Use law of sines;
C. Find the area of triangle.
7) Sequence and Series
A. Determined the difference between an arithmetic and geometric
sequences;
B. Determined the difference between an arithmetic, geometric, and
infinite series;
C. Use sigma notation.
8) Statistics
A. Gather and organize data;
B. Find measures of central tendency;
C. Find standard deviation and variance;
D. Recognize and use the normal distribution;
E. Bivariate statistics and the correlation coefficient;
F. Distinguish between exponential, logarithmic, power, quadratic, cubic,
and linear regression.
9) Probability and binomial theorem
A. Counting principles, combination and permutation;
B. Calculate probability using at least and at most;
C. The normal approximation to the binomial distribution;
D. Apply the binomial theorem.