Math Training
Middle School
Gus Lopez
Le Anderson
Introduction
Model
Structured Practice
Guided Practice
Independent Practice
Closure
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.
In 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:
Model:
Hypotenuse =
5
Long Leg =
Hypotenuse =
√3
Short Leg =
x
Long Leg =
Structured Practice:
Solve for missing sides.
4
18
y
x
Instructions:
• Use a whiteboard to show your work.
• Discuss with your group the
procedure used to solve it
• Share with other groups..
Guided Practice:
The 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?
B
6 cm
h
A
X
C
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.
Independent Practice:
Find the values of x and y.
y
x
9
Solve for x and y.
√3
y
x
Objective:
PWBAT design a lesson plan that incorporates
the Rowland Instructional Model and compare it
to their current routines.
30 - 60 - 90



Theorem
Bridge
Pythagorean
Theorem
 Teacher
 Teacher
 Teacher
 Teacher
 Teacher
 Teacher
 Students
 Teacher
 Students
 Students
Teacher
Teacher
Rowland Instructional Model
Puzzle
• Scramble the cards and rearrange them according to the
Rowland Instructional Model.
Introduction
Model
Structured Practice
Introduce 30- A/B conversations
60-90 Theorem
Demonstrate
how to solve
Volunteers to answer
questions
Think Out Loud Check for
SWBAT to calculate
the value of each I say, you say
side of a triangle
by using the 30-690 Theorem
understanding (CFU)
Guided Practice
Identify groups
Give a problem to each
group
Talk at tables
Solve the problem
Explain and agree on a
solution to the problem
Move to a new group
Listen
Raise their hands to
answer questions
Share their solution with
a new group
Closure
Provide two problem with
increasing levels of
complexity
Walk the room to support
struggling students
Listen to conversations
Participate in A/B
conversations
Independent Practice
Copy two
problems in their
notebooks
Discuss
whether
learning
objective
was met
Solve the
problems on their
own
Answer
two
questions
on post-it
Share their
solutions with
their partner
Exit Ticket