Lernergebnisse:

1. Define union, intersection, and complement of events.

2. Represent operations on events using Venn diagrams.

3. Differentiate between mutually exclusive and independent events.

4. Apply set operations to solve problems involving events.

5. Calculate probabilities involving combined events.

Lernergebnisse:

1. Understand the concept of a complementary event.

2. Understand the concept of the difference between two events.

3. Calculate the probability of a complementary event.

4. Apply the concept of event difference in solving probability problems.

Lernergebnisse:

1. Understand the basic concepts related to the circle.

2. Explain the concept of the axis of symmetry in the circle.

Lernergebnisse:

1. Identify the position of a point with respect to a circle.

2. Determine the position of a straight line with respect to a circle.

3. Explain the relationship between the tangent and the radius of a circle.

4. Analyze the position of one circle with respect to another.

5. Describe the relationship between the line of centers, the common chord, and the common tangent of two circles.

Lernergebnisse:

1. Draw a circle passing through a given point.

2. Draw a circle passing through two given points.

3. Draw a circle passing through three given points.

Lernergebnisse:

1. Deduce the relation between the chords of a circle and its center.

2. Solve problems involving the relation between the chords of a circle and its center.

Lernergebnisse:

1. Understand the concept of arc length.

2. Understand the concept of measuring an arc.

3. Find the relation between chords of a circle and its arcs.

Lernergebnisse:

1. Infer the relation between the measures of the inscribed and central angles subtended by the same arc.

Lernergebnisse:

1. Infer the relation between inscribed angles that subtend equal arcs.

Lernergebnisse:

1. Understand the concept of the cyclic quadrilateral.

2. Identify when a shape is a cyclic quadrilateral.

Lernergebnisse:

1. Recognize the properties of a cyclic quadrilateral.

2. Solve problems involving the properties of a cyclic quadrilateral.

Lernergebnisse:

1. Infer the relation between two tangent segments drawn from a point outside the circle.

2. Understand the concept of a circle inscribed in a polygon.

3. Deduce the relation between the tangents of a circle.