Breakout Session: Plan and Write-up problem solving items to use by June
COVER PAGE
Course and unit: (Example: Intermediate Algebra, Unit 6 Systems of Equations, introduction
to unit)
Course: _Geometry____
Unit: _Circles: Standard: 9.3.3.8, Chapter: 11
Stage of development: X introductory X developing ___ mastery
Teacher contact information:
Name Susan Steffen_
School _LEAP H.S.___________
Email __susan.steffen@spps.org____________
Did I use it to train my students or to teach current unit of study or other?
___Train students on Step 2 Problem Solving protocol
_X_ Application of current unit content
___ Other
_________________________________________________________________
Which Step 2: Problem Solving method was used?
X Method 1: Poster Problem
__ Method 2: Poster Problem with Write-up
__ Method 3: Alternative Method
What modifications might you make for ELL, SPED, other?
Have a visual analog and digital clock.
Use the analog clock to remind students of ¼ of an hour, ¼ of a circle is 90°, 1 circle is 360°.
Sentence frames for write up.
What vocabulary would you teach or prep the students with?
- sector
- angle
- degree
- reflexive angle
- ratio
- proportion
- analog
- digital
Problem Solving Item or attach the item
Angles, Time, and Proportion.
Digital
Analog
A clock is an instrument used to indicate, keep, and coordinate time. Many people use digital
clocks now whether on their computers, their wrists, or on their alarm clocks. In general
usage today a "clock" refers to any device for measuring and displaying the time. The clock
is one of the oldest human inventions, meeting the need to consistently measure intervals of
time. An analog clock uses “hands” which forms angles on a circular “face”.
Teacher Choose:
Introductory: What is the measure of the angle formed by the hour hand and the minute hand
at 3:00? What then are the angle measures for the other on-the-hour times (12:00, 1:00, 2:00.
etc?).
Using these measures, write an equation for calculating the angle measure for any given "onthe-hour" time?
Developing: What are the angle measurements for off-hour times such as 12:15? 2:45?
Hint: Remember that the hour hand moves at the same time as the minute hand is moving
Using these measures, what is an equation for calculating the angle measure for any given
"on-the-hour" time?
Mastery: In a 12-hour period, how many times do the hour hand and the minute hand
overlap? What is the corresponding equation? Now, are you ready to write an equation to
calculate the angle measure for any given time? (for example, 2:15 or 9:32)
How could you use this equation to find the times when the hands of the clock are on top of
each other? (like midnight )