Learning Topics:
Geometry of a Circle, line segment, chord, plane, radius, diameter, pi, Circumference of Circles, and Area of Circles.
Learning Objectives for all Circumference and Area of Circles lessons in Unit 2.
Geometry and the Circle
The student will be able to:
- Define point, center, radius, diameter, chord, line segment, plane.
- Identify a point, diameter, radius and chord from a diagram.
- Explain the relationship between diameter and chord.
- Recognize that every diameter is a chord, but not every chord is a diameter.
- Give examples of parts of a circle from the real world.
- Describe how a circle divides the plane into three parts.
- Apply definitions and concepts to complete five interactive exercises.
Circumference of Circles
The student will be able to:
- Define circle, circumference.
- Recognize that Pi is constant for any circle.
- Explain the relationship between diameter and radius.
- Restate the formula and procedure for finding the circumference of a circle.
- Recognize that a circle has many different radii and diameters passing through its center.
- Compute the circumference of a circle, given its diameter.
- Compute the circumference of a circle, given its radius.
- Compute the diameter of a circle, given its circumference.
- Give examples of circumference from the real world.
- Evaluate five interactive exercises with real-world problems.
- Analyze each problem to identify the given information.
- Formulate a strategy for solving each problem.
- Apply circumference concepts and formulas to solve real-world problems.
Area of Circles
The student will be able to:
- Define area of a circle.
- Recognize the difference between circumference and area of a circle.
- Restate the formula and procedure for finding the area of a circle.
- Compute the area of a circle, given its radius.
- Compute the area of a circle, given its diameter.
- Compute the radius and diameter of a circle, given its area.
- Give examples of area of a circle from the real world.
- Evaluate five interactive exercises with real-world problems.
- Analyze each problem to identify the given information.
- Formulate a strategy for solving each problem.
- Apply circle area concepts and formulas to solve real-world problems.
Practice Exercises
The student will be able to:
- Examine ten interactive exercises for all topics in this unit.
- Determine which concepts and formulas are needed to complete each practice exercise.
- Compute answers by applying appropriate formulas and procedures.
- Self-assess knowledge and skills acquired from this unit.
Challenge Exercises
The student will be able to:
- Evaluate ten interactive exercises with word problems for all topics in this unit.
- Analyze each word problem to identify the given information.
- Formulate a strategy for solving each problem.
- Apply strategies to solve routine and non-routine problems.
- Synthesize all information presented in this unit.
- Connect circumference and area of circles to the real world.
- Develop problem-solving skills.
Solutions
The student will be able to:
- Examine the solution for each exercise presented in this unit.
- Identify which solutions need to be reviewed.
- Compare solutions to completed exercises.
- Identify and evaluate incorrect answers.
- Amend and label original answers.
- Identify areas of strength and weakness.
- Decide which concepts, formulas and procedures need to be reviewed from this unit.
