Transcript Document

Mathematics Professional
Development Day
October 11, 2010
Relevance, Rigor and Change
It’s the Math Life!
Math Life
live it
Making sense of
CHANGE
Average SAT Scores
HCPS
Virginia
Nation
Relevance
How do we make math relevant for our
students?
• Real-world problems and discussions
• Open-ended questions
• Make it worthwhile!
• Student-centered
• SHARE IDEAS!
• Math Website Links – Delicious and
Infographics
Slide Title
4
Oil leaked from April 20 – July 15, 2010.
On July 15, the leak was stopped after releasing about 4.9 million
barrels (7.8×105 m3) of crude oil.
It was estimated that 53,000 barrels per day (8,400 m3/d) were
escaping from the well just before it was capped.
It is believed that the daily flow rate diminished over time, starting at
about 62,000 barrels per day (9,900 m3/d) and decreasing as the
reservoir of hydrocarbons feeding the gusher was gradually depleted.
The Deepwater Horizon was able to operate in waters up to 8,000 feet
(2,400 m) deep and drill down to 30,000 feet (9,100 m).
BP estimated the worst case flow at 162,000 barrels per day (25,800
m3/d).
Internal BP documents estimated the flow could be as much as
100,000 barrels per day (16,000 m3/d).
Deepwater Horizon Oil Spill
• What “I wonder…” questions about
the mathematics would kids (or
adults) ask?
• What jobs related to the spill involve
pertinent mathematics?
• To which mathematics content could
this disaster be connected?
Dan Meyer WCYDWT
• The video I showed is located here:
http://blog.mrmeyer.com/?p=7606
• Dan Meyer’s blog is
http://blog.mrmeyer.com/.
• Here’s the full video from the NFL
network:
http://www.nfl.com/videos/nflcombine/09000d5d816b2dca/RichEisen-s-40-yd-dash
NFL Scouting Combine
40 yard dash by Rich Eisen of the NFL Network
Highlighted SOL Changes
• Awareness (curriculum and pacing guides,
SOL Crosswalks, VDOE training institutes)
• Understanding
• Content (Curriculum Framework, technical
assistance documents)
• Connections (Enhanced Scope and
Sequence lesson, Vertical articulation of
content - know how and when content is
taught. Use mathematical language!
Exponents/Squares/Square Roots
New from grade 8
6.5 investigate/
describe positive
exponents, perfect
squares
7.1a) investigate/
describe negative
exponents
b) determine
scientific notation
for numbers greater
than 0
d) determine square
roots
8.5 a) determine if a
number is a perfect
square
b) find 2 whole
numbers between
which a square root
lies
Expressions and Operations
8.1 simplify numerical
expressions involving positive
exponents, using rational
numbers, order of operations,
and properties to justify
5.7 Order of
Operations
Alg1.1 represent verbal
quantitative situations
algebraically/evaluate
expressions for given
replacement values of variables
6.8 Order of
Operations
( no { }, | | )
New from grade 7
New from grade 7
7.13 evaluate
algebraic
expressions
7.3
operations
with integers
Modeling
3.3 b) model
fractions
7.3 a) model
operations
(add/sub/mult/div)
with integers
5.18 c) model
solutions of one-step
linear equations
(+,-)
4.2 b) represent
equiv fractions
4.3 d) write
dec/fract from a
model
New content
6.2 b) identify fract,
decimal, percent
from a
representation
6.4 represent
multiplication and
division of fractions
New content
Equations and Inequalities
Alg1.4 solve
multistep linear and
quadratic equations
(2 variables)
7.14 a) solve oneand two-step linear
equations
8.15 a) solve
multistep linear
equations
6.20 graph
inequalities on a
number line
Alg1.5 solve
multistep linear
inequalities
(2 variables)
7.15 a) solve onestep inequalities/
b) graph on
number line
8.16 graph linear
equations in two
variables
Alg1.6 graph linear
equations and
inequalities
New content
New Content
Technical Assistance
Document for A.9
Published
Alg1.9
Standard
Deviation
5.16 Mean
as Fair
Share
6.15 Mean
as Balance
Point
New content
New content
New content
Alg2.11
Normal
Distributions
Technical Assistance
Document for AII.11
October 2010
New content
6.17 identify/
extend geometric/
arithmetic
sequences
7.2 describe/
represent
arithmetic/
geometric
sequences using
variable expressions
New content
Alg2.2 investigate/
apply properties of
arithmetic/
geometric
sequences/ series to
solve real world
problems
NAEP Released Items – 2007 Grade 8 M7 #14 SCR Hard 29%
Each figure in the pattern below is made of hexagons that
measure 1 centimeter on each side.
If the pattern of adding one hexagon to each figure is continued, what will be the
perimeter of the 25th figure in the pattern? Show how you found your answer.
Perimeter Problem
• In what situation would this task be
used?
• In which course/level would you use
this task?
• How would you adjust it for another
course/level?
Worthwhile task?
Questions to ask yourself…
• Does the problem challenge students to
use higher-level critical thinking skills?
• Is the problem clearly connected to the
targeted mathematics?
• Are there multiple ways to solve this
problem?
• Is it accessible to all students?
Worthwhile task?
Questions to ask yourself…
• Does the problem promote
mathematical communication?
• What might students struggle with?
• This would be an appropriate
problem if you were studying… or if
you have already studied…
Where can I get worthwhile
mathematical tasks?
• NAEP released items
http://nces.ed.gov/nationsreportcard/
• PISA released items
http://nces.ed.gov/surveys/pisa/educators.asp
• APEC Mathematics Assessment Database
http://hrd.apec.org/index.php/Mathematics_As
sessments
• Heinemann Mathematics (not free, but cheap)
http://books.heinemann.com/math/
21st Century Skills
• Math ITRTs
Michaelanne Day, Highland Springs HS
Jennifer Maddux, Short Pump MS
Andrea Lund, Tucker HS
Katie Owens, Holman MS
• Reflective Friends
• Henrico 21
Vision
Goal #5 in the HCPS Strategic Plan
• All students will become responsible
and effective users of technology.
• We will infuse the curriculum with
technology to enhance the
development of 21st century skills.
Dr. Russo’s message: We need to take
the next step in effectively integrating
technology into our instruction.
What are the computer expectations?
Four 21st Century Skills
1. Communication/Collaboration
• Partner/Group Students
• Discussion
Boards/Blogs/Responders
• Student Demonstration
2. Research and Information Fluency
• Webquests
• Online Resources
• Origins of Concepts
Four 21st Century Skills
3. Problem Solving/Critical Thinking
• Real Life Application
• Team Analysis
• Project Based Learning
• Well Thought out Questioning
4. Creativity and Innovation
• Video Student Activities
• Use Tools like Adobe Suite,
Audacity, Office 2010
• Games for Review
Small Group Activity
Groups
1.
2.
3.
4.
Communication/Collaboration
Research and Information Fluency
Problem Solving/Critical Thinking
Creativity and Innovation
List ways that you can include this
21st century skill into the math
classroom?
http://blogs.henrico.k12.va.us/
acowens/math/
Schedule
Make sure to sign in at each session!
10:00-10:55
11:00-11:55
Lunch
1:15-2:50
Session 1
Session 2
Content Sessions
Additional Info on Math Website
3:00-3:30
Closing Session
Additional
Closing Session
•
•
•
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Starfish Video
Babies born last year
Raffle Drawing
Announcement of Survey