Mid-Segment Maylay

11 teachers like this lesson

Print Lesson

Objective

SWBAT identify relationships between the mid-segment of a triangle and the sides of that triangle.

Big Idea

Students will construct mid-segments in triangles and discover key properties of mid-segments within triangles.

Lesson Author

Stephanie Conklin

Saratoga Springs, NY

Grade Level

Tenth grade

Subjects

Math

Geometry

Pythagorean Theroem

triangles (Determining Measurements)

Standards

HSG-CO.C.10

Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180 degrees; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.

MP6

Attend to precision.

Do Now

10 minutes

More than Just a Teacher

In this Do Now, students will review how to calcuate the midpoint of a line segment given its two endpoints. This will access students' prior knowledge of midpoint, a skill needed to complete this lesson in mid-segments.

Explorations 1 and 2

45 minutes

Interleaving Practice with Midsegments

15 minutes

Activity/Homework and Exit Ticket

15 minutes

Providing Extra Resources for Students

Resources for Students Reflection

The Activity reviews how to prove that the mid-segment in a triangle is parallel to the base of the triangle using coordinate geometry and slope. There is also a link to online practice questions which review applied questions with mid-segments. Students can complete the activity in class or has a homework assignment depending on how much time is left in class.

The Exit Ticket requires students to determine the length of a side of a triangle given the length of a mid-segment. This could be used as a quick formative assessment for students' knowledge of this topic.

Previous Lesson

Next Lesson