Math TrainingMiddle School

Gus LopezLe Anderson

Special Right Triangles

Objective:

SWBAT calculate the value of each side of a right triangle by using the 30-60-90 Theorem to find the missing sides of 2 given right triangles.

30° – 60° – 90° Triangle TheoremIn a 30° – 60° – 90° triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is

√3 times as long as the shorter leg.

Label the side of the triangle:

5

Hypotenuse =

Long Leg =

Model:

√3

x

Hypotenuse =

Short Leg =

Long Leg =

Solve for missing sides.

4

Structured Practice:

18

x

y

Group Discussion

Instructions:• Use a whiteboard to show your work.

• Discuss with your group the procedure used to solve it

• Share with other groups..

Guided Practice:

GroupThe logo on the recycling bin below resembles an equilateral triangle with side lengths of 6 centimeters. What is the height and missing side of the logo?

A

B

C

6 cmh

X

The body of a dump truck is raised to empty a load of sand. How high is the 14 ft. body from the frame when it is tipped upward at 60° angle? Round to the nearest tenth.

Find the values of x and y.

x

9

y

Independent Practice:

Solve for x and y.

√3

x

y

Objective:

PWBAT design a lesson plan that incorporates the Rowland Instructional Model and compare it to their current routines.

Bridge

Pythagorean Theorem

30 - 60 - 90

Theorem

Teacher

Teacher

Teacher Teacher

Student

Students

Teacher

Teacher

Students Students

Teacher

Students

Students

Students

Teacher

Teacher

Teacher

Rowland Instructional Model

Puzzle• Scramble the cards and rearrange them according to the

Rowland Instructional Model.

SWBAT to calculate the value of each side of a triangle by using the 30-6-90 Theorem

Listen

Introduce 30-60-90 Theorem

Demonstrate how to solve

Think Out Loud

I say, you say

A/B conversations

Volunteers to answer questions

Check for understanding (CFU)

Participate in A/B conversations

Raise their hands to answer questions

Identify groups

Give a problem to each group

Walk the room to support struggling students

Listen to conversations

Talk at tables

Solve the problem

Explain and agree on a solution to the problem

Move to a new group

Share their solution with a new group

Provide two problem with increasing levels of complexity

Copy two problems in their notebooks

Solve the problems on their own

Share their solutions with their partner

Discuss whether learning objective was met

Answer two questions on post-it

Exit Ticket