Unit Objectives & Key Questions

Geometry in the Plane

Unit Objectives

8.1  Intersecting Lines and Angle Measures

·        Given examples of parallel and intersecting lines, students will correctly identify properties.

·        During class discussion, students will explain the relationship between intersecting lines and vertical angles using correct vocabulary.

·        Given examples of intersecting lines, students will accurately identify complementary and supplementary angles using correct vocabulary. 

·        Given two intersecting lines and an angle measure, students will correctly calculate its complement and its supplement. 

8.2  Translations

·        Given a figure in a coordinate plane, students will identify the relationship between coordinates of the original figure and coordinates of the translated figure.

·        Students will be able to perform horizontal, vertical, and diagonal translations correctly, given the direction and number of units of translation.

8.3  Circumference of a Circle

·        Given any radius or diameter of a circle, students will be able to correctly calculate the other. 

·        With guidance from the teacher, students will discover the formula for finding the circumference of a circle.

·        Given a circle with any radius or diameter, students will correctly calculate its circumference.

·        Given a circle with any circumference, students will correctly calculate its radius and diameter. 

8.6  Area of a Circle

·        Given either the radius or diameter of a circle, students will be able to correctly calculate the area. 

·        Students will be able to distinguish when to apply the circumference formula and when to apply to area formula, given different types of situations.

8.4  Area of a Parallelogram

·        Students will identify the relationship between rectangles and parallelograms, given examples of each shape.

·        After the task has been completed, students will be able to calculate the area of a parallelogram in two different ways.

·        Given pictures of various states (in the shape of parallelograms), students will correctly approximate the area of these states.

·        After completing this task, students will explain their methods and answers to the rest of the class using appropriate vocabulary.

8.5  Area of a Trapezoid

·        Given any trapezoid, students will correctly identify the bases and the height.

·        Given any trapezoid, students will correctly calculate its area using the formula.

·        Given any trapezoid, students will correctly find the area by dividing the trapezoid intro other shapes, finding the areas, and adding them together. 

Key Questions

8.1  Intersecting Lines and Angle Measures

·        What does it mean for two angles to be congruent?

·        What are vertical angles?

·        How are vertical angles and congruent angles related?

·        What are adjacent angles?

·        What are complementary angles?

·        What are supplementary angles?

8.2  Translations

·        How do you find the coordinates of a figure that is translated in the plane?

8.3  Circumference of a Circle

·        What is the radius of a circle?

·        What is the diameter of a circle?

·        What is the relationship between radius and diameter?

·        What is the circumference of a circle?

·        What is the formula to find the circumference of a circle?

·        In what real-life situations would you need to find the circumference of a circle?

8.6  Area of a Circle

·        What is the formula to find the area of a circle?

·        In what real-life situations would you need to find the area of a circle?

8.4  Area of a Parallelogram

·        What is a parallelogram?  What are its properties?

·        What is the formula to find the area of a parallelogram?

8.5  Area of a Trapezoid

·        What is a trapezoid?  What are its properties?

·        What is the formula to find the area of a trapezoid?

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