1. **Problem Statement:** Develop a lesson plan for Basic 9 on the indicator B9.2.1.1.1: Constructing a table of values for two linear relations and graphing these relations. 2. **Starter Activities:** - Begin with a brief discussion about what linear relations are. - Show simple examples of linear equations like $y=2x+1$ and $y=-x+3$. - Ask learners to predict the values of $y$ for given $x$ values. 3. **Main Activities:** - Guide learners to create tables of values for two given linear relations, e.g. $y=2x+1$ and $y=-x+3$ for $x$ values from $-2$ to $2$. - Learners fill the tables by substituting each $x$ value into the equations. - Plot the points from the tables on graph paper or using graph software. - Join points to reveal the straight lines representing each relation. - Assessment: Have learners construct their own tables and plot graphs for a new pair of linear relations independently. 4. **Reflection Activities:** - Facilitate a brief discussion on how constructing tables helps in understanding the shape and position of linear graphs. - Ask learners how graphing multiple relations can show their intersections or relative positions. 5. **Keywords:** - Linear relation - Table of values - Graph - Coordinates - Equation 6. **Resources:** - Graph paper or digital graphing tool - Pencils, rulers - Worksheets with given relations and spaces for tables 7. **Core Competencies:** - Critical thinking through interpreting and constructing tables and graphs. - Problem solving by plotting and analyzing linear relations. - Communication skills via discussion and explanation of graphs.