Midpoint & Distance Formula

Lesson Prep

Lesson Details

• Duration: 50 minutes

• Learning Goal: Provide more opportunities to practice and build procedural fluency with calculating the distance and midpoint between 2 points.

Prework

• Prepare for the treasure hunt by putting items in a secret location. Create your own clues for students to find the treasure.

• Make sure you have some kind of treasure for students to receive when they find it. Nut free candy is an example.

Answer Keys

• Link to Answer Keys

Classwork

• Estimation – Partition

• Warm Up

• Practice

  • School Location Clues

• More Practice

1:1 Devices Version

• Pear Deck

• More Practice is completed on paper

• Display treasure hunt on the board at the end of class

Standards

Common Core

• HSG.GPE.B.6 – Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

• HSG.GPE.B.7 – Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.

TEKS

• G.2(A) – determine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in one- and two-dimensional coordinate systems, including finding the midpoint

• G.2(B) – derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines