MATHEMATICS - Preparatory 3- Term 1
Grade Levels:
Educational System: National English
1. Understanding fundamental mathematical concepts of relations, functions, ratios, and variations
Learning Targets:
1. Demonstrate understanding of Cartesian products and their applications
2. Analyze and represent mathematical relations between sets
3. Identify and classify different types of functions (mappings)
4. Work with polynomial functions and their properties
5. Solve problems involving ratios and proportions
6. Differentiate between direct and inverse variation
7. Apply variation concepts to solve real-world problems
Modules
1. Unit 1: Relations and Functions
1. 1. Cartesian product
Learning Outcomes:
1. Define the Cartesian product of two non-empty sets.
2. List the elements of a Cartesian product.
3. Represent Cartesian products using ordered pairs.
4. Apply the Cartesian product in mathematical contexts such as relations and functions.
5. Visualize Cartesian products using tables or coordinate planes.
1. 2. Relations
Learning Outcomes:
1. Understand the concept of Cartesian product of two non-empty sets.
2. Define a relation from one set to another using ordered pairs.
3. Represent a relation using a set of ordered pairs, a table, a graph, and an arrow diagram.
4. Determine the domain and range of a relation.
5. Differentiate between different types of relations (e.g., reflexive, symmetric, transitive).
1. 3. Functions (Mapping)
Learning Outcomes:
1. Understand the concept of a function as a relation between inputs and outputs.
2. Distinguish between relations and functions.
3. Express functions using symbols and notation.
4. Interpret function notation such as f(x).