- In Patterns, Algebra, and Functions, students will learn to express inequalities using sets and intervals, solve compound inequalities and represent the solution set on the number line, solve equations and absolute value inequalities, represent linear inequalities with two variables graphically, determine if a relationship is a function or not, interpret graphical representations of relationships, understand quadratic relations and their properties, and graphically represent them on the coordinate plane. You will solve quadratic equations using various methods, utilize laws of exponents to simplify exponential expressions, simplify radical expressions and perform operations on them, solve equations containing roots, simplify rational algebraic expressions and perform operations on them, and solve rational equations.
- In Geometry and Metrics, students will learn to represent the graphs of quadratic relations resulting from the application of one or more geometric transformations on the parent quadratic function, find the distance between two points in the coordinate plane, find the midpoint of a line segment in the coordinate plane, find the distance between a point and a line, apply coordinate geometry to prove some theories, apply theories related to similar parts in triangles and use them to find unknown measures, use perpendicular bisectors of sides and angle bisectors of triangles to find unknown measures, find the centroid and orthocenter of a triangle, distinguish between sine, cosine, and tangent ratios as ratios between sides of a right-angled triangle, and use them to find unknown measures in the triangle.
- In the field of data analysis and probability, students will learn to find measures of dispersion for individual and grouped data in frequency tables, organize data into frequency tables with classes, estimate measures of central tendency for frequency tables with classes, find probability using visual forms, and determine geometric probabilities.
- - Solve complex mathematical problems.
- - Apply mathematical concepts in real-life contexts.