Lernergebnisse:

1. Solve first-degree inequalities in one variable.

2. Represent the solution set of an inequality on the number line.

3. Solve compound inequalities involving first-degree expressions.

4. Solve first-degree inequalities in two variables.

5. Graph the solution region of a linear inequality in two variables on the coordinate plane.

6. Interpret the solution region of a system of inequalities graphically.

Lernergebnisse:

1. Solve systems of linear inequalities graphically.

2. Represent feasible regions for systems of inequalities on the coordinate plane.

3. Interpret graphical solutions to systems of linear inequalities.

4. Model and solve real-life problems using systems of linear inequalities.

5. Analyze and evaluate solutions within a given context.

Lernergebnisse:

1. Find the maximum and minimum values of a function within a specific region.

2. Use linear programming to model and solve optimization problems.

3. Organize real-life problem data into a suitable table.

4. Formulate linear inequalities based on real-world constraints.

5. Determine the feasible region representing the solution to a system of inequalities.

6. Define the objective function and find its optimal solution using graphical methods.

Lernergebnisse:

1. Classify and distinguish between scalar and vector quantities.

2. Define a directed line segment and identify its direction and norm.

3. Recognize when two directed line segments are equivalent.

4. Construct a directed line segment equivalent to another in the coordinate plane.

5. Express a directed line segment using the coordinates of its endpoints.

Lernergebnisse:

1. Find the position vector of a point with respect to the origin in the orthogonal coordinate plane.

2. Express a vector in polar form.

3. Calculate the norm of a vector and identify the zero vector.

4. Understand and apply the concept of vector equivalence.

5. Perform scalar multiplication on vectors in ℝ².

6. Express a vector using the fundamental unit vectors.

7. Determine the condition for two vectors to be parallel.

8. Determine the condition for two vectors to be perpendicular.

9. Multiply a vector by a real number and represent it geometrically.

Lernergebnisse:

1. Add vectors and represent the operation geometrically.

2. Apply the triangle rule for vector addition.

3. Apply the parallelogram rule for vector addition.

4. Subtract vectors and represent the operation graphically.

5. Express a directed line segment in terms of the position vectors of its endpoints.

6. Use geometric instruments effectively.

7. Utilize squared paper for accurate geometric drawing.